{ "contractName": "GnosisMath", "abi": [ { "inputs": [], "name": "LN2", "outputs": [ { "internalType": "uint256", "name": "", "type": "uint256" } ], "stateMutability": "view", "type": "function" }, { "inputs": [], "name": "LOG2_E", "outputs": [ { "internalType": "uint256", "name": "", "type": "uint256" } ], "stateMutability": "view", "type": "function" }, { "inputs": [], "name": "ONE", "outputs": [ { "internalType": "uint256", "name": "", "type": "uint256" } ], "stateMutability": "view", "type": "function" }, { "inputs": [ { "internalType": "int256", "name": "x", "type": "int256" } ], "name": "exp", "outputs": [ { "internalType": "uint256", "name": "", "type": "uint256" } ], "stateMutability": "pure", "type": "function" }, { "inputs": [ { "internalType": "uint256", "name": "x", "type": "uint256" } ], "name": "ln", "outputs": [ { "internalType": "int256", "name": "", "type": "int256" } ], "stateMutability": "pure", "type": "function" }, { "inputs": [ { "internalType": "uint256", "name": "x", "type": "uint256" } ], "name": "floorLog2", "outputs": [ { "internalType": "int256", "name": "lo", "type": "int256" } ], "stateMutability": "pure", "type": "function" }, { "inputs": [ { "internalType": "int256[]", "name": "nums", "type": "int256[]" } ], "name": "max", "outputs": [ { "internalType": "int256", "name": "maxNum", "type": "int256" } ], "stateMutability": "pure", "type": "function" } ], "metadata": "{\"compiler\":{\"version\":\"0.7.5+commit.eb77ed08\"},\"language\":\"Solidity\",\"output\":{\"abi\":[{\"inputs\":[],\"name\":\"LN2\",\"outputs\":[{\"internalType\":\"uint256\",\"name\":\"\",\"type\":\"uint256\"}],\"stateMutability\":\"view\",\"type\":\"function\"},{\"inputs\":[],\"name\":\"LOG2_E\",\"outputs\":[{\"internalType\":\"uint256\",\"name\":\"\",\"type\":\"uint256\"}],\"stateMutability\":\"view\",\"type\":\"function\"},{\"inputs\":[],\"name\":\"ONE\",\"outputs\":[{\"internalType\":\"uint256\",\"name\":\"\",\"type\":\"uint256\"}],\"stateMutability\":\"view\",\"type\":\"function\"},{\"inputs\":[{\"internalType\":\"int256\",\"name\":\"x\",\"type\":\"int256\"}],\"name\":\"exp\",\"outputs\":[{\"internalType\":\"uint256\",\"name\":\"\",\"type\":\"uint256\"}],\"stateMutability\":\"pure\",\"type\":\"function\"},{\"inputs\":[{\"internalType\":\"uint256\",\"name\":\"x\",\"type\":\"uint256\"}],\"name\":\"floorLog2\",\"outputs\":[{\"internalType\":\"int256\",\"name\":\"lo\",\"type\":\"int256\"}],\"stateMutability\":\"pure\",\"type\":\"function\"},{\"inputs\":[{\"internalType\":\"uint256\",\"name\":\"x\",\"type\":\"uint256\"}],\"name\":\"ln\",\"outputs\":[{\"internalType\":\"int256\",\"name\":\"\",\"type\":\"int256\"}],\"stateMutability\":\"pure\",\"type\":\"function\"},{\"inputs\":[{\"internalType\":\"int256[]\",\"name\":\"nums\",\"type\":\"int256[]\"}],\"name\":\"max\",\"outputs\":[{\"internalType\":\"int256\",\"name\":\"maxNum\",\"type\":\"int256\"}],\"stateMutability\":\"pure\",\"type\":\"function\"}],\"devdoc\":{\"author\":\"Alan Lu - Stefan George - \",\"kind\":\"dev\",\"methods\":{\"exp(int256)\":{\"details\":\"Returns natural exponential function value of given x\",\"params\":{\"x\":\"x\"},\"returns\":{\"_0\":\"e**x\"}},\"floorLog2(uint256)\":{\"details\":\"Returns base 2 logarithm value of given x\",\"params\":{\"x\":\"x\"},\"returns\":{\"lo\":\"- logarithmic value\"}},\"ln(uint256)\":{\"details\":\"Returns natural logarithm value of given x\",\"params\":{\"x\":\"x\"},\"returns\":{\"_0\":\"ln(x)\"}},\"max(int256[])\":{\"details\":\"Returns maximum of an array\",\"params\":{\"nums\":\"Numbers to look through\"},\"returns\":{\"maxNum\":\"- Maximum number\"}}},\"title\":\"Math library - Allows calculation of logarithmic and exponential functions\",\"version\":1},\"userdoc\":{\"kind\":\"user\",\"methods\":{},\"version\":1}},\"settings\":{\"compilationTarget\":{\"/Users/bensniff/Projects/gnosis/util-contracts/contracts/Math.sol\":\"GnosisMath\"},\"evmVersion\":\"istanbul\",\"libraries\":{},\"metadata\":{\"bytecodeHash\":\"ipfs\"},\"optimizer\":{\"enabled\":true,\"runs\":200},\"remappings\":[]},\"sources\":{\"/Users/bensniff/Projects/gnosis/util-contracts/contracts/Math.sol\":{\"keccak256\":\"0xd6411e92ade55d077dc3cab8a7ef2a2a16c87e7f00b709de3d16e206b3a26828\",\"license\":\"LGPL-3.0-only\",\"urls\":[\"bzz-raw://5fe697b4c22396abf00835cfd358216370c3cda4f2fbf4ff0f76f87aab0b7460\",\"dweb:/ipfs/Qmb9DWeY4HpCXwLiFTx5qEDnh4cK6Lct6X7mcnY6sTzGm9\"]}},\"version\":1}", "bytecode": "0x61079f610026600b82828239805160001a60731461001957fe5b30600052607381538281f3fe73000000000000000000000000000000000000000030146080604052600436106100875760003560e01c806345b8bafc1161006557806345b8bafc146100cb578063c2ee3a08146100e8578063ccc13814146100f0578063e46751e31461019357610087565b8063027806771461008c57806324902e24146100a657806324d4e90a146100ae575b600080fd5b6100946101b0565b60408051918252519081900360200190f35b6100946101bc565b610094600480360360208110156100c457600080fd5b50356101c9565b610094600480360360208110156100e157600080fd5b5035610426565b610094610495565b6100946004803603602081101561010657600080fd5b81019060208101813564010000000081111561012157600080fd5b82018360208201111561013357600080fd5b8035906020019184602083028401116401000000008311171561015557600080fd5b91908080602002602001604051908101604052809392919081815260200183836020028082843760009201919091525092955061049d945050505050565b610094600480360360208110156101a957600080fd5b50356104fe565b67b17217f7d1cf79ac81565b680171547652b82fe17781565b60008082116101d757600080fd5b60006101e283610426565b90506000808212156101fc578160000384901b9050610201565b5082811c5b6000600160401b8201600160401b808403028161021a57fe5b059050806000600160401b828181800205028161023357fe5b0590506003810582019150600160401b83600160401b8584028161025357fe5b05028161025c57fe5b0590506005810582019150600160401b83600160401b8584028161027c57fe5b05028161028557fe5b0590506007810582019150600160401b83600160401b858402816102a557fe5b0502816102ae57fe5b0590506009810582019150600160401b83600160401b858402816102ce57fe5b0502816102d757fe5b059050600b810582019150600160401b83600160401b858402816102f757fe5b05028161030057fe5b059050600d810582019150600160401b83600160401b8584028161032057fe5b05028161032957fe5b059050600f810582019150600160401b83600160401b8584028161034957fe5b05028161035257fe5b0590506011810582019150600160401b83600160401b8584028161037257fe5b05028161037b57fe5b0590506013810582019150600160401b83600160401b8584028161039b57fe5b0502816103a457fe5b0590506015810582019150600160401b83600160401b858402816103c457fe5b0502816103cd57fe5b0590506017810582019150600160401b83600160401b858402816103ed57fe5b0502816103f657fe5b05905060198105919091019060028202680171547652b82fe177600160801b87020501955050505050505b919050565b603f1960c1608160011d5b8183600101121561048e576000811280156104555750600160401b8160000385901b105b806104715750600081121580156104715750600160401b84821c105b1561047e57809150610482565b8092505b5080820160011d610431565b5050919050565b600160401b81565b6000808251116104ac57600080fd5b50600160ff1b60005b82518110156104f857818382815181106104cb57fe5b602002602001015113156104f0578281815181106104e557fe5b602002602001015191505b6001016104b5565b50919050565b600068851591f9dd5b9b40d782131561051657600080fd5b682c5c85fdf473de6af21982121561053057506000610421565b67b17217f7d1cf79ac600160401b830205915060008060008412610560575050600160401b808305908307610586565b6001600160401b8505039150600160401b846000038161057c57fe5b07600160401b0390505b80600160401b8067b17217f7d1cf79ab83020401600160401b828402049150600160401b673d7f7bff058b1d5083020401600160401b828402049150600160401b670e35846b82505fc583020401600160401b828402049150600160401b670276556df749cee583020401600160401b828402049150600160401b665761ff9e299cc483020401600160401b828402049150600160401b660a184897c363c383020401600160401b828402049150600160401b65ffe5fe2c458683020401600160401b828402049150600160401b65162c0223a5c883020401600160401b828402049150600160401b6501b5253d395e83020401600160401b828402049150600160401b641e4cf5158b83020401600160401b828402049150600160401b6401e8cac73583020401600160401b828402049150600160401b631c3bd65083020401600160401b828402049150600160401b630181619383020401600160401b828402049150600160401b6213149683020401600160401b828402049150600160401b61e1b783020401600160401b828402049150600160401b6109c783020401600084126107575761010084900381901c1561074a57600019945050505050610421565b90921b9250610421915050565b8360000381901c94505050505061042156fea2646970667358221220354b60830455f6845af1329814a344440500e9fac8ca1c11044c367220c9961a64736f6c63430007050033", "deployedBytecode": "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", "immutableReferences": {}, "generatedSources": [], "deployedGeneratedSources": [], "sourceMap": "242:9256:3:-:0;;;;;;;;;;;;;;;;;;;;;;;;;", "deployedSourceMap": "242:9256:3:-:0;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;398:45;;;:::i;:::-;;;;;;;;;;;;;;;;449:49;;;:::i;3538:1779::-;;;;;;;;;;;;;;;;-1:-1:-1;3538:1779:3;;:::i;5436:429::-;;;;;;;;;;;;;;;;-1:-1:-1;5436:429:3;;:::i;346:46::-;;;:::i;5996:221::-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;5996:221:3;;-1:-1:-1;5996:221:3;;-1:-1:-1;;;;;5996:221:3:i;652:2783::-;;;;;;;;;;;;;;;;-1:-1:-1;652:2783:3;;:::i;398:45::-;425:18;398:45;:::o;449:49::-;479:19;449:49;:::o;3538:1779::-;3579:3;3606:1;3602;:5;3594:14;;;;;;3662:9;3674:12;3684:1;3674:9;:12::i;:::-;3662:24;;3696:5;3723:1;3715:5;:9;3711:81;;;3745:5;3744:6;;3734:1;:17;;3726:26;;3711:81;;;-1:-1:-1;3775:16:3;;;3711:81;4006:8;-1:-1:-1;;;4046:1:3;:12;-1:-1:-1;;;373:19:3;4018:1;:12;4017:25;:42;;;;;;;-1:-1:-1;4017:42:3;4069:11;-1:-1:-1;;;4017:42:3;373:19;4111:11;;;:22;:29;:40;;;;;;;-1:-1:-1;4182:1:3;4111:40;4172:11;4161:22;;;;-1:-1:-1;;;4231:4:3;-1:-1:-1;;;4213:4:3;4203:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;4277:1:3;4203:43;4267:11;4256:22;;;;-1:-1:-1;;;4326:4:3;-1:-1:-1;;;4308:4:3;4298:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;4372:1:3;4298:43;4362:11;4351:22;;;;-1:-1:-1;;;4421:4:3;-1:-1:-1;;;4403:4:3;4393:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;4467:1:3;4393:43;4457:11;4446:22;;;;-1:-1:-1;;;4516:4:3;-1:-1:-1;;;4498:4:3;4488:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;4562:2:3;4488:43;4552:12;4541:23;;;;-1:-1:-1;;;4612:4:3;-1:-1:-1;;;4594:4:3;4584:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;4658:2:3;4584:43;4648:12;4637:23;;;;-1:-1:-1;;;4708:4:3;-1:-1:-1;;;4690:4:3;4680:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;4754:2:3;4680:43;4744:12;4733:23;;;;-1:-1:-1;;;4804:4:3;-1:-1:-1;;;4786:4:3;4776:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;4850:2:3;4776:43;4840:12;4829:23;;;;-1:-1:-1;;;4900:4:3;-1:-1:-1;;;4882:4:3;4872:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;4946:2:3;4872:43;4936:12;4925:23;;;;-1:-1:-1;;;4996:4:3;-1:-1:-1;;;4978:4:3;4968:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;5042:2:3;4968:43;5032:12;5021:23;;;;-1:-1:-1;;;5092:4:3;-1:-1:-1;;;5074:4:3;5064:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;5138:2:3;5064:43;5128:12;5117:23;;;;-1:-1:-1;;;5188:4:3;-1:-1:-1;;;5170:4:3;5160:7;:14;:25;;;;;;:32;:43;;;;;;;-1:-1:-1;5234:2:3;5160:43;5224:12;5213:23;;;;;5299:1;:11;;479:19;-1:-1:-1;;;5253:29:3;;:43;:57;5246:64;;;;;;;3538:1779;;;;:::o;5436:429::-;-1:-1:-1;;5529:3:3;5646:7;5658:1;5645:14;5669:190;5687:2;5677;5682:1;5677:6;5676:13;5669:190;;;5715:1;5709:3;:7;:32;;;;;-1:-1:-1;;;5731:3:3;5730:4;;5720:1;:15;;:21;5709:32;:68;;;;5752:1;5745:3;:8;;:32;;;;-1:-1:-1;;;;5757:14:3;;;:20;5745:32;5705:109;;;5784:3;5779:8;;5705:109;;;5811:3;5806:8;;5705:109;-1:-1:-1;5835:7:3;;;5847:1;5834:14;5669:190;;;5436:429;;;;;:::o;346:46::-;-1:-1:-1;;;346:46:3;:::o;5996:221::-;6049:10;6093:1;6079:4;:11;:15;6071:24;;;;;;-1:-1:-1;;;;6138:6:3;6133:77;6154:4;:11;6150:1;:15;6133:77;;;6186:6;6176:4;6181:1;6176:7;;;;;;;;;;;;;;:16;6172:38;;;6203:4;6208:1;6203:7;;;;;;;;;;;;;;6194:16;;6172:38;6167:3;;6133:77;;;;5996:221;;;:::o;652:2783::-;693:4;841:22;836:1;:27;;828:36;;;;;;-1:-1:-1;;988:1:3;:26;984:40;;;-1:-1:-1;1023:1:3;1016:8;;984:40;425:18;-1:-1:-1;;;1078:12:3;;:23;1074:27;;1237:9;1256:6;1281:1;1276;:6;1272:191;;-1:-1:-1;;;;;1306:12:3;;;;1341;;1272:191;;;1408:1;-1:-1:-1;;;1393:1:3;:12;:16;1385:24;;-1:-1:-1;;;1439:1:3;1438:2;;:13;;;;;;-1:-1:-1;;;1427:25:3;1423:29;;1272:191;2010:1;-1:-1:-1;;;373:19:3;2058:18;:25;;:31;2048:41;-1:-1:-1;;;2106:8:3;;;:14;;-1:-1:-1;;;;2140:18:3;:25;;:31;2130:41;-1:-1:-1;;;2188:8:3;;;:14;;-1:-1:-1;;;;2222:17:3;:24;;:30;2212:40;-1:-1:-1;;;2269:8:3;;;:14;;-1:-1:-1;;;;2303:17:3;:24;;:30;2293:40;-1:-1:-1;;;2350:8:3;;;:14;;-1:-1:-1;;;;2384:16:3;:23;;:29;2374:39;-1:-1:-1;;;2430:8:3;;;:14;;-1:-1:-1;;;;2464:15:3;:22;;:28;2454:38;-1:-1:-1;;;2509:8:3;;;:14;;-1:-1:-1;;;;2543:14:3;:21;;:27;2533:37;-1:-1:-1;;;2587:8:3;;;:14;;-1:-1:-1;;;;2621:14:3;:21;;:27;2611:37;-1:-1:-1;;;2665:8:3;;;:14;;-1:-1:-1;;;;2699:13:3;:20;;:26;2689:36;-1:-1:-1;;;2742:8:3;;;:14;;-1:-1:-1;;;;2776:12:3;:19;;:25;2766:35;-1:-1:-1;;;2818:8:3;;;:14;;-1:-1:-1;;;;2852:11:3;:18;;:24;2842:34;-1:-1:-1;;;2893:8:3;;;:14;;-1:-1:-1;;;;2927:10:3;:17;;:23;2917:33;-1:-1:-1;;;2967:8:3;;;:14;;-1:-1:-1;;;;3001:9:3;:16;;:22;2991:32;-1:-1:-1;;;3040:8:3;;;:14;;-1:-1:-1;;;;3074:8:3;:15;;:21;3064:31;-1:-1:-1;;;3112:8:3;;;:14;;-1:-1:-1;;;;3146:6:3;:13;;:19;3136:29;-1:-1:-1;;;3182:8:3;;;:14;;-1:-1:-1;;;;3216:5:3;:12;;:18;3206:28;3257:1;3248:10;;3244:184;;3294:3;3289:23;;;3278:35;;;:39;3274:66;;-1:-1:-1;;3319:21:3;;;;;;;;3274:66;3361:21;;;;-1:-1:-1;3354:28:3;;-1:-1:-1;;3354:28:3;3244:184;3422:5;3421:6;;3406;:22;;3399:29;;;;;;;", "source": "// SPDX-License-Identifier: LGPL-3.0-only\npragma solidity ^0.7.0;\n\n/// @title Math library - Allows calculation of logarithmic and exponential functions\n/// @author Alan Lu - \n/// @author Stefan George - \nlibrary GnosisMath {\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) public pure returns (uint) {\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) 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 } 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 >> (uint(256) - uint(shift)) > 0) return (2 ** 256 - 1);\n return result << uint(shift);\n } else return result >> uint(-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) public pure returns (int) {\n require(x > 0);\n // binary search for floor(log2(x))\n int ilog2 = floorLog2(x);\n int z;\n if (ilog2 < 0) z = int(x << uint(-ilog2));\n else 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 lo - logarithmic value\n function floorLog2(uint x) public pure returns (int lo) {\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) hi = mid;\n else 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 maxNum - Maximum number\n function max(int[] memory nums) public pure returns (int maxNum) {\n require(nums.length > 0);\n maxNum = -2 ** 255;\n for (uint i = 0; i < nums.length; i++) if (nums[i] > maxNum) 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) internal pure returns (bool) {\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) internal pure returns (bool) {\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) internal pure returns (bool) {\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) internal pure returns (uint) {\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) internal pure returns (uint) {\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) internal pure returns (uint) {\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) internal pure returns (bool) {\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) internal pure returns (bool) {\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) internal pure returns (bool) {\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) internal pure returns (int) {\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) internal pure returns (int) {\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) internal pure returns (int) {\n require(safeToMul(a, b));\n return a * b;\n }\n}\n", "sourcePath": "/Users/bensniff/Projects/gnosis/util-contracts/contracts/Math.sol", "ast": { "absolutePath": "/Users/bensniff/Projects/gnosis/util-contracts/contracts/Math.sol", "exportedSymbols": { "GnosisMath": [ 1553 ] }, "id": 1554, "license": "LGPL-3.0-only", "nodeType": "SourceUnit", "nodes": [ { "id": 354, "literals": [ "solidity", "^", "0.7", ".0" ], "nodeType": "PragmaDirective", "src": "42:23:3" }, { "abstract": false, "baseContracts": [], "contractDependencies": [], "contractKind": "library", "documentation": { "id": 355, "nodeType": "StructuredDocumentation", "src": "67:175:3", "text": "@title Math library - Allows calculation of logarithmic and exponential functions\n @author Alan Lu - \n @author Stefan George - " }, "fullyImplemented": true, "id": 1553, "linearizedBaseContracts": [ 1553 ], "name": "GnosisMath", "nodeType": "ContractDefinition", "nodes": [ { "constant": true, "functionSelector": "c2ee3a08", "id": 358, "mutability": "constant", "name": "ONE", "nodeType": "VariableDeclaration", "scope": 1553, "src": "346:46:3", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 356, "name": "uint", "nodeType": "ElementaryTypeName", "src": "346:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "hexValue": "30783130303030303030303030303030303030", "id": 357, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "373:19:3", "typeDescriptions": { "typeIdentifier": "t_rational_18446744073709551616_by_1", "typeString": "int_const 18446744073709551616" }, "value": "0x10000000000000000" }, "visibility": "public" }, { "constant": true, "functionSelector": "02780677", "id": 361, "mutability": "constant", "name": "LN2", "nodeType": "VariableDeclaration", "scope": 1553, "src": "398:45:3", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 359, "name": "uint", "nodeType": "ElementaryTypeName", "src": "398:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "hexValue": "307862313732313766376431636637396163", "id": 360, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "425:18:3", "typeDescriptions": { "typeIdentifier": "t_rational_12786308645202655660_by_1", "typeString": "int_const 12786308645202655660" }, "value": "0xb17217f7d1cf79ac" }, "visibility": "public" }, { "constant": true, "functionSelector": "24902e24", "id": 364, "mutability": "constant", "name": "LOG2_E", "nodeType": "VariableDeclaration", "scope": 1553, "src": "449:49:3", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 362, "name": "uint", "nodeType": "ElementaryTypeName", "src": "449:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "hexValue": "30783137313534373635326238326665313737", "id": 363, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "479:19:3", "typeDescriptions": { "typeIdentifier": "t_rational_26613026195688644983_by_1", "typeString": "int_const 26613026195688644983" }, "value": "0x171547652b82fe177" }, "visibility": "public" }, { "body": { "id": 756, "nodeType": "Block", "src": "699:2736:3", "statements": [ { "expression": { "arguments": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 375, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 373, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "836:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "hexValue": "32343534393731323539383738393039383836363739", "id": 374, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "841:22:3", "typeDescriptions": { "typeIdentifier": "t_rational_2454971259878909886679_by_1", "typeString": "int_const 2454971259878909886679" }, "value": "2454971259878909886679" }, "src": "836:27:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 372, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "828:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 376, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "828:36:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 377, "nodeType": "ExpressionStatement", "src": "828:36:3" }, { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 381, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 378, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "988:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 380, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "992:22:3", "subExpression": { "hexValue": "383138333233373533323932393639393632323237", "id": 379, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "993:21:3", "typeDescriptions": { "typeIdentifier": "t_rational_818323753292969962227_by_1", "typeString": "int_const 818323753292969962227" }, "value": "818323753292969962227" }, "typeDescriptions": { "typeIdentifier": "t_rational_minus_818323753292969962227_by_1", "typeString": "int_const -818323753292969962227" } }, "src": "988:26:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 384, "nodeType": "IfStatement", "src": "984:40:3", "trueBody": { "expression": { "hexValue": "30", "id": 382, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1023:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "functionReturnParameters": 371, "id": 383, "nodeType": "Return", "src": "1016:8:3" } }, { "expression": { "id": 397, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 385, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1074:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 396, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 391, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 386, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1078:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "arguments": [ { "id": 389, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1086:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 388, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1082:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 387, "name": "int", "nodeType": "ElementaryTypeName", "src": "1082:3:3", "typeDescriptions": {} } }, "id": 390, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1082:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1078:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 394, "name": "LN2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 361, "src": "1097:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 393, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1093:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 392, "name": "int", "nodeType": "ElementaryTypeName", "src": "1093:3:3", "typeDescriptions": {} } }, "id": 395, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1093:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1078:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1074:27:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 398, "nodeType": "ExpressionStatement", "src": "1074:27:3" }, { "assignments": [ 400 ], "declarations": [ { "constant": false, "id": 400, "mutability": "mutable", "name": "shift", "nodeType": "VariableDeclaration", "scope": 756, "src": "1237:9:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 399, "name": "int", "nodeType": "ElementaryTypeName", "src": "1237:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 401, "nodeType": "VariableDeclarationStatement", "src": "1237:9:3" }, { "assignments": [ 403 ], "declarations": [ { "constant": false, "id": 403, "mutability": "mutable", "name": "z", "nodeType": "VariableDeclaration", "scope": 756, "src": "1256:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 402, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1256:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "id": 404, "nodeType": "VariableDeclarationStatement", "src": "1256:6:3" }, { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 407, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 405, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1276:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 406, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1281:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "1276:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "id": 456, "nodeType": "Block", "src": "1371:92:3", "statements": [ { "expression": { "id": 439, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 430, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "1385:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 438, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 436, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 431, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1393:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 434, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1401:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 433, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1397:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 432, "name": "int", "nodeType": "ElementaryTypeName", "src": "1397:3:3", "typeDescriptions": {} } }, "id": 435, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1397:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1393:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "hexValue": "31", "id": 437, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1408:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "1393:16:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1385:24:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 440, "nodeType": "ExpressionStatement", "src": "1385:24:3" }, { "expression": { "id": 454, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 441, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "1423:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 453, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 442, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1427:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "arguments": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 451, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 446, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "1438:2:3", "subExpression": { "id": 445, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1439:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "arguments": [ { "id": 449, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1447:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 448, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1443:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 447, "name": "int", "nodeType": "ElementaryTypeName", "src": "1443:3:3", "typeDescriptions": {} } }, "id": 450, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1443:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1438:13:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 444, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1433:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 443, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1433:4:3", "typeDescriptions": {} } }, "id": 452, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1433:19:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1427:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1423:29:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 455, "nodeType": "ExpressionStatement", "src": "1423:29:3" } ] }, "id": 457, "nodeType": "IfStatement", "src": "1272:191:3", "trueBody": { "id": 429, "nodeType": "Block", "src": "1284:81:3", "statements": [ { "expression": { "id": 415, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 408, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "1298:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 414, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 409, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1306:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 412, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1314:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 411, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1310:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 410, "name": "int", "nodeType": "ElementaryTypeName", "src": "1310:3:3", "typeDescriptions": {} } }, "id": 413, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1310:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1306:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1298:20:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 416, "nodeType": "ExpressionStatement", "src": "1298:20:3" }, { "expression": { "id": 427, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 417, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "1332:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "arguments": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 425, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 420, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1341:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "arguments": [ { "id": 423, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1349:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 422, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1345:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 421, "name": "int", "nodeType": "ElementaryTypeName", "src": "1345:3:3", "typeDescriptions": {} } }, "id": 424, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1345:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1341:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 419, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1336:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 418, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1336:4:3", "typeDescriptions": {} } }, "id": 426, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1336:18:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1332:22:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 428, "nodeType": "ExpressionStatement", "src": "1332:22:3" } ] } }, { "assignments": [ 459 ], "declarations": [ { "constant": false, "id": 459, "mutability": "mutable", "name": "zpow", "nodeType": "VariableDeclaration", "scope": 756, "src": "1998:9:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 458, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1998:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "id": 461, "initialValue": { "id": 460, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2010:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "1998:13:3" }, { "assignments": [ 463 ], "declarations": [ { "constant": false, "id": 463, "mutability": "mutable", "name": "result", "nodeType": "VariableDeclaration", "scope": 756, "src": "2021:11:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 462, "name": "uint", "nodeType": "ElementaryTypeName", "src": "2021:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "id": 465, "initialValue": { "id": 464, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2035:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "2021:17:3" }, { "expression": { "id": 472, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 466, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2048:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 471, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 469, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307862313732313766376431636637396162", "id": 467, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2058:18:3", "typeDescriptions": { "typeIdentifier": "t_rational_12786308645202655659_by_1", "typeString": "int_const 12786308645202655659" }, "value": "0xb17217f7d1cf79ab" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 468, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2079:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2058:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 470, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2086:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2058:31:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2048:41:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 473, "nodeType": "ExpressionStatement", "src": "2048:41:3" }, { "expression": { "id": 480, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 474, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2099:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 479, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 477, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 475, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2106:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 476, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2113:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2106:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 478, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2117:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2106:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2099:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 481, "nodeType": "ExpressionStatement", "src": "2099:21:3" }, { "expression": { "id": 488, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 482, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2130:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 487, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 485, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307833643766376266663035386231643530", "id": 483, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2140:18:3", "typeDescriptions": { "typeIdentifier": "t_rational_4431396893595737424_by_1", "typeString": "int_const 4431396893595737424" }, "value": "0x3d7f7bff058b1d50" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 484, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2161:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2140:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 486, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2168:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2140:31:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2130:41:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 489, "nodeType": "ExpressionStatement", "src": "2130:41:3" }, { "expression": { "id": 496, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 490, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2181:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 495, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 493, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 491, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2188:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 492, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2195:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2188:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 494, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2199:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2188:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2181:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 497, "nodeType": "ExpressionStatement", "src": "2181:21:3" }, { "expression": { "id": 504, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 498, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2212:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 503, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 501, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078653335383436623832353035666335", "id": 499, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2222:17:3", "typeDescriptions": { "typeIdentifier": "t_rational_1023870087579328453_by_1", "typeString": "int_const 1023870087579328453" }, "value": "0xe35846b82505fc5" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 500, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2242:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2222:24:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 502, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2249:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2222:30:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2212:40:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 505, "nodeType": "ExpressionStatement", "src": "2212:40:3" }, { "expression": { "id": 512, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 506, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2262:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 511, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 509, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 507, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2269:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 508, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2276:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2269:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 510, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2280:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2269:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2262:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 513, "nodeType": "ExpressionStatement", "src": "2262:21:3" }, { "expression": { "id": 520, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 514, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2293:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 519, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 517, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078323736353536646637343963656535", "id": 515, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2303:17:3", "typeDescriptions": { "typeIdentifier": "t_rational_177423166116318949_by_1", "typeString": "int_const 177423166116318949" }, "value": "0x276556df749cee5" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 516, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2323:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2303:24:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 518, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2330:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2303:30:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2293:40:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 521, "nodeType": "ExpressionStatement", "src": "2293:40:3" }, { "expression": { "id": 528, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 522, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2343:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 527, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 525, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 523, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2350:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 524, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2357:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2350:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 526, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2361:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2350:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2343:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 529, "nodeType": "ExpressionStatement", "src": "2343:21:3" }, { "expression": { "id": 536, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 530, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2374:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 535, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 533, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "30783537363166663965323939636334", "id": 531, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2384:16:3", "typeDescriptions": { "typeIdentifier": "t_rational_24596073471909060_by_1", "typeString": "int_const 24596073471909060" }, "value": "0x5761ff9e299cc4" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 532, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2403:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2384:23:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 534, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2410:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2384:29:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2374:39:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 537, "nodeType": "ExpressionStatement", "src": "2374:39:3" }, { "expression": { "id": 544, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 538, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2423:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 543, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 541, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 539, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2430:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 540, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2437:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2430:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 542, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2441:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2430:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2423:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 545, "nodeType": "ExpressionStatement", "src": "2423:21:3" }, { "expression": { "id": 552, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 546, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2454:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 551, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 549, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307861313834383937633336336333", "id": 547, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2464:15:3", "typeDescriptions": { "typeIdentifier": "t_rational_2841449829983171_by_1", "typeString": "int_const 2841449829983171" }, "value": "0xa184897c363c3" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 548, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2482:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2464:22:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 550, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2489:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2464:28:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2454:38:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 553, "nodeType": "ExpressionStatement", "src": "2454:38:3" }, { "expression": { "id": 560, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 554, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2502:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 559, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 557, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 555, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2509:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 556, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2516:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2509:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 558, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2520:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2509:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2502:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 561, "nodeType": "ExpressionStatement", "src": "2502:21:3" }, { "expression": { "id": 568, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 562, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2533:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 567, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 565, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078666665356665326334353836", "id": 563, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2543:14:3", "typeDescriptions": { "typeIdentifier": "t_rational_281363276907910_by_1", "typeString": "int_const 281363276907910" }, "value": "0xffe5fe2c4586" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 564, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2560:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2543:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 566, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2567:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2543:27:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2533:37:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 569, "nodeType": "ExpressionStatement", "src": "2533:37:3" }, { "expression": { "id": 576, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 570, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2580:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 575, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 573, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 571, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2587:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 572, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2594:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2587:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 574, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2598:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2587:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2580:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 577, "nodeType": "ExpressionStatement", "src": "2580:21:3" }, { "expression": { "id": 584, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 578, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2611:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 583, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 581, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078313632633032323361356338", "id": 579, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2621:14:3", "typeDescriptions": { "typeIdentifier": "t_rational_24378270262728_by_1", "typeString": "int_const 24378270262728" }, "value": "0x162c0223a5c8" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 580, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2638:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2621:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 582, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2645:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2621:27:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2611:37:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 585, "nodeType": "ExpressionStatement", "src": "2611:37:3" }, { "expression": { "id": 592, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 586, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2658:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 591, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 589, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 587, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2665:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 588, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2672:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2665:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 590, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2676:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2665:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2658:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 593, "nodeType": "ExpressionStatement", "src": "2658:21:3" }, { "expression": { "id": 600, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 594, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2689:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 599, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 597, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "30783162353235336433393565", "id": 595, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2699:13:3", "typeDescriptions": { "typeIdentifier": "t_rational_1877525477726_by_1", "typeString": "int_const 1877525477726" }, "value": "0x1b5253d395e" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 596, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2715:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2699:20:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 598, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2722:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2699:26:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2689:36:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 601, "nodeType": "ExpressionStatement", "src": "2689:36:3" }, { "expression": { "id": 608, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 602, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2735:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 607, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 605, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 603, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2742:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 604, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2749:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2742:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 606, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2753:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2742:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2735:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 609, "nodeType": "ExpressionStatement", "src": "2735:21:3" }, { "expression": { "id": 616, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 610, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2766:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 615, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 613, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307831653463663531353862", "id": 611, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2776:12:3", "typeDescriptions": { "typeIdentifier": "t_rational_130140149131_by_1", "typeString": "int_const 130140149131" }, "value": "0x1e4cf5158b" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 612, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2791:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2776:19:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 614, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2798:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2776:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2766:35:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 617, "nodeType": "ExpressionStatement", "src": "2766:35:3" }, { "expression": { "id": 624, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 618, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2811:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 623, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 621, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 619, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2818:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 620, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2825:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2818:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 622, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2829:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2818:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2811:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 625, "nodeType": "ExpressionStatement", "src": "2811:21:3" }, { "expression": { "id": 632, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 626, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2842:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 631, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 629, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078316538636163373335", "id": 627, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2852:11:3", "typeDescriptions": { "typeIdentifier": "t_rational_8200570677_by_1", "typeString": "int_const 8200570677" }, "value": "0x1e8cac735" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 628, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2866:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2852:18:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 630, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2873:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2852:24:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2842:34:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 633, "nodeType": "ExpressionStatement", "src": "2842:34:3" }, { "expression": { "id": 640, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 634, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2886:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 639, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 637, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 635, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2893:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 636, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2900:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2893:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 638, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2904:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2893:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2886:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 641, "nodeType": "ExpressionStatement", "src": "2886:21:3" }, { "expression": { "id": 648, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 642, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2917:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 647, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 645, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "30783163336264363530", "id": 643, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2927:10:3", "typeDescriptions": { "typeIdentifier": "t_rational_473683536_by_1", "typeString": "int_const 473683536" }, "value": "0x1c3bd650" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 644, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2940:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2927:17:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 646, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2947:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2927:23:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2917:33:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 649, "nodeType": "ExpressionStatement", "src": "2917:33:3" }, { "expression": { "id": 656, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 650, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2960:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 655, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 653, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 651, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2967:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 652, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2974:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2967:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 654, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2978:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2967:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2960:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 657, "nodeType": "ExpressionStatement", "src": "2960:21:3" }, { "expression": { "id": 664, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 658, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2991:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 663, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 661, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307831383136313933", "id": 659, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3001:9:3", "typeDescriptions": { "typeIdentifier": "t_rational_25256339_by_1", "typeString": "int_const 25256339" }, "value": "0x1816193" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 660, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3013:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3001:16:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 662, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3020:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3001:22:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2991:32:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 665, "nodeType": "ExpressionStatement", "src": "2991:32:3" }, { "expression": { "id": 672, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 666, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3033:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 671, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 669, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 667, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3040:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 668, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "3047:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3040:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 670, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3051:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3040:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3033:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 673, "nodeType": "ExpressionStatement", "src": "3033:21:3" }, { "expression": { "id": 680, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 674, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3064:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 679, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 677, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078313331343936", "id": 675, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3074:8:3", "typeDescriptions": { "typeIdentifier": "t_rational_1250454_by_1", "typeString": "int_const 1250454" }, "value": "0x131496" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 676, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3085:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3074:15:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 678, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3092:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3074:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3064:31:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 681, "nodeType": "ExpressionStatement", "src": "3064:31:3" }, { "expression": { "id": 688, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 682, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3105:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 687, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 685, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 683, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3112:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 684, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "3119:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3112:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 686, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3123:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3112:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3105:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 689, "nodeType": "ExpressionStatement", "src": "3105:21:3" }, { "expression": { "id": 696, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 690, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3136:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 695, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 693, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307865316237", "id": 691, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3146:6:3", "typeDescriptions": { "typeIdentifier": "t_rational_57783_by_1", "typeString": "int_const 57783" }, "value": "0xe1b7" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 692, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3155:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3146:13:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 694, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3162:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3146:19:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3136:29:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 697, "nodeType": "ExpressionStatement", "src": "3136:29:3" }, { "expression": { "id": 704, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 698, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3175:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 703, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 701, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 699, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3182:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 700, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "3189:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3182:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 702, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3193:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3182:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3175:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 705, "nodeType": "ExpressionStatement", "src": "3175:21:3" }, { "expression": { "id": 712, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 706, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3206:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 711, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 709, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078396337", "id": 707, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3216:5:3", "typeDescriptions": { "typeIdentifier": "t_rational_2503_by_1", "typeString": "int_const 2503" }, "value": "0x9c7" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 708, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3224:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3216:12:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 710, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3231:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3216:18:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3206:28:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 713, "nodeType": "ExpressionStatement", "src": "3206:28:3" }, { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 716, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 714, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "3248:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 715, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3257:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3248:10:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 753, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 747, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3406:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "arguments": [ { "id": 751, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "3421:6:3", "subExpression": { "id": 750, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "3422:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 749, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3416:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 748, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3416:4:3", "typeDescriptions": {} } }, "id": 752, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3416:12:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3406:22:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 371, "id": 754, "nodeType": "Return", "src": "3399:29:3" }, "id": 755, "nodeType": "IfStatement", "src": "3244:184:3", "trueBody": { "id": 746, "nodeType": "Block", "src": "3260:133:3", "statements": [ { "condition": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 730, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 728, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 717, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3278:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 726, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "arguments": [ { "hexValue": "323536", "id": 720, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3294:3:3", "typeDescriptions": { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" }, "value": "256" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" } ], "id": 719, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3289:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 718, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3289:4:3", "typeDescriptions": {} } }, "id": 721, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3289:9:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "arguments": [ { "id": 724, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "3306:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 723, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3301:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 722, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3301:4:3", "typeDescriptions": {} } }, "id": 725, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3301:11:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3289:23:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 727, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3288:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3278:35:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "hexValue": "30", "id": 729, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3316:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3278:39:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 738, "nodeType": "IfStatement", "src": "3274:66:3", "trueBody": { "expression": { "components": [ { "commonType": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" }, "id": 735, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639936_by_1", "typeString": "int_const 1157...(70 digits omitted)...9936" }, "id": 733, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "hexValue": "32", "id": 731, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3327:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "nodeType": "BinaryOperation", "operator": "**", "rightExpression": { "hexValue": "323536", "id": 732, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3332:3:3", "typeDescriptions": { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" }, "value": "256" }, "src": "3327:8:3", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639936_by_1", "typeString": "int_const 1157...(70 digits omitted)...9936" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "hexValue": "31", "id": 734, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3338:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "3327:12:3", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" } } ], "id": 736, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3326:14:3", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" } }, "functionReturnParameters": 371, "id": 737, "nodeType": "Return", "src": "3319:21:3" } }, { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 744, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 739, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3361:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "arguments": [ { "id": 742, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "3376:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 741, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3371:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 740, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3371:4:3", "typeDescriptions": {} } }, "id": 743, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3371:11:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3361:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 371, "id": 745, "nodeType": "Return", "src": "3354:28:3" } ] } } ] }, "documentation": { "id": 365, "nodeType": "StructuredDocumentation", "src": "545:102:3", "text": "@dev Returns natural exponential function value of given x\n @param x x\n @return e**x" }, "functionSelector": "e46751e3", "id": 757, "implemented": true, "kind": "function", "modifiers": [], "name": "exp", "nodeType": "FunctionDefinition", "parameters": { "id": 368, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 367, "mutability": "mutable", "name": "x", "nodeType": "VariableDeclaration", "scope": 757, "src": "665:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 366, "name": "int", "nodeType": "ElementaryTypeName", "src": "665:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "664:7:3" }, "returnParameters": { "id": 371, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 370, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 757, "src": "693:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 369, "name": "uint", "nodeType": "ElementaryTypeName", "src": "693:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "692:6:3" }, "scope": 1553, "src": "652:2783:3", "stateMutability": "pure", "virtual": false, "visibility": "public" }, { "body": { "id": 1146, "nodeType": "Block", "src": "3584:1733:3", "statements": [ { "expression": { "arguments": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 768, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 766, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 760, "src": "3602:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "hexValue": "30", "id": 767, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3606:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3602:5:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 765, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "3594:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 769, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3594:14:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 770, "nodeType": "ExpressionStatement", "src": "3594:14:3" }, { "assignments": [ 772 ], "declarations": [ { "constant": false, "id": 772, "mutability": "mutable", "name": "ilog2", "nodeType": "VariableDeclaration", "scope": 1146, "src": "3662:9:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 771, "name": "int", "nodeType": "ElementaryTypeName", "src": "3662:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 776, "initialValue": { "arguments": [ { "id": 774, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 760, "src": "3684:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 773, "name": "floorLog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1226, "src": "3674:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$returns$_t_int256_$", "typeString": "function (uint256) pure returns (int256)" } }, "id": 775, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3674:12:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "3662:24:3" }, { "assignments": [ 778 ], "declarations": [ { "constant": false, "id": 778, "mutability": "mutable", "name": "z", "nodeType": "VariableDeclaration", "scope": 1146, "src": "3696:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 777, "name": "int", "nodeType": "ElementaryTypeName", "src": "3696:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 779, "nodeType": "VariableDeclarationStatement", "src": "3696:5:3" }, { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 782, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 780, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 772, "src": "3715:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "hexValue": "30", "id": 781, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3723:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3715:9:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "id": 806, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 796, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 778, "src": "3767:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "arguments": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 804, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 799, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 760, "src": "3775:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "arguments": [ { "id": 802, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 772, "src": "3785:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 801, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3780:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 800, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3780:4:3", "typeDescriptions": {} } }, "id": 803, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3780:11:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3775:16:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 798, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3771:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 797, "name": "int", "nodeType": "ElementaryTypeName", "src": "3771:3:3", "typeDescriptions": {} } }, "id": 805, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3771:21:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3767:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 807, "nodeType": "ExpressionStatement", "src": "3767:25:3" }, "id": 808, "nodeType": "IfStatement", "src": "3711:81:3", "trueBody": { "expression": { "id": 794, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 783, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 778, "src": "3726:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "arguments": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 792, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 786, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 760, "src": "3734:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "arguments": [ { "id": 790, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "3744:6:3", "subExpression": { "id": 789, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 772, "src": "3745:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 788, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3739:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 787, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3739:4:3", "typeDescriptions": {} } }, "id": 791, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3739:12:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3734:17:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 785, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3730:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 784, "name": "int", "nodeType": "ElementaryTypeName", "src": "3730:3:3", "typeDescriptions": {} } }, "id": 793, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3730:22:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3726:26:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 795, "nodeType": "ExpressionStatement", "src": "3726:26:3" } }, { "assignments": [ 810 ], "declarations": [ { "constant": false, "id": 810, "mutability": "mutable", "name": "term", "nodeType": "VariableDeclaration", "scope": 1146, "src": "4006:8:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 809, "name": "int", "nodeType": "ElementaryTypeName", "src": "4006:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 831, "initialValue": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 830, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 822, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 816, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 811, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 778, "src": "4018:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "arguments": [ { "id": 814, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4026:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 813, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4022:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 812, "name": "int", "nodeType": "ElementaryTypeName", "src": "4022:3:3", "typeDescriptions": {} } }, "id": 815, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4022:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4018:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 817, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4017:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "arguments": [ { "id": 820, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4038:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 819, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4034:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 818, "name": "int", "nodeType": "ElementaryTypeName", "src": "4034:3:3", "typeDescriptions": {} } }, "id": 821, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4034:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4017:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 828, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 823, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 778, "src": "4046:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "arguments": [ { "id": 826, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4054:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 825, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4050:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 824, "name": "int", "nodeType": "ElementaryTypeName", "src": "4050:3:3", "typeDescriptions": {} } }, "id": 827, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4050:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4046:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 829, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4045:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4017:42:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4006:53:3" }, { "assignments": [ 833 ], "declarations": [ { "constant": false, "id": 833, "mutability": "mutable", "name": "halflnz", "nodeType": "VariableDeclaration", "scope": 1146, "src": "4069:11:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 832, "name": "int", "nodeType": "ElementaryTypeName", "src": "4069:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 835, "initialValue": { "id": 834, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4083:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4069:18:3" }, { "assignments": [ 837 ], "declarations": [ { "constant": false, "id": 837, "mutability": "mutable", "name": "termpow", "nodeType": "VariableDeclaration", "scope": 1146, "src": "4097:11:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 836, "name": "int", "nodeType": "ElementaryTypeName", "src": "4097:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 853, "initialValue": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 852, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 847, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 845, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 840, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 838, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4111:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 839, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4118:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4111:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 843, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4129:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 842, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4125:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 841, "name": "int", "nodeType": "ElementaryTypeName", "src": "4125:3:3", "typeDescriptions": {} } }, "id": 844, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4125:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4111:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 846, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4136:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4111:29:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 850, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4147:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 849, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4143:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 848, "name": "int", "nodeType": "ElementaryTypeName", "src": "4143:3:3", "typeDescriptions": {} } }, "id": 851, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4143:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4111:40:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4097:54:3" }, { "expression": { "id": 858, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 854, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4161:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 857, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 855, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4172:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "33", "id": 856, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4182:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_3_by_1", "typeString": "int_const 3" }, "value": "3" }, "src": "4172:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4161:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 859, "nodeType": "ExpressionStatement", "src": "4161:22:3" }, { "expression": { "id": 876, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 860, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4193:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 875, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 870, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 868, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 863, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 861, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4203:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 862, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4213:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4203:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 866, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4224:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 865, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4220:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 864, "name": "int", "nodeType": "ElementaryTypeName", "src": "4220:3:3", "typeDescriptions": {} } }, "id": 867, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4220:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4203:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 869, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4231:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4203:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 873, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4242:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 872, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4238:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 871, "name": "int", "nodeType": "ElementaryTypeName", "src": "4238:3:3", "typeDescriptions": {} } }, "id": 874, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4238:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4203:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4193:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 877, "nodeType": "ExpressionStatement", "src": "4193:53:3" }, { "expression": { "id": 882, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 878, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4256:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 881, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 879, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4267:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "35", "id": 880, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4277:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_5_by_1", "typeString": "int_const 5" }, "value": "5" }, "src": "4267:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4256:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 883, "nodeType": "ExpressionStatement", "src": "4256:22:3" }, { "expression": { "id": 900, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 884, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4288:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 899, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 894, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 892, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 887, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 885, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4298:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 886, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4308:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4298:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 890, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4319:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 889, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4315:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 888, "name": "int", "nodeType": "ElementaryTypeName", "src": "4315:3:3", "typeDescriptions": {} } }, "id": 891, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4315:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4298:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 893, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4326:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4298:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 897, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4337:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 896, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4333:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 895, "name": "int", "nodeType": "ElementaryTypeName", "src": "4333:3:3", "typeDescriptions": {} } }, "id": 898, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4333:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4298:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4288:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 901, "nodeType": "ExpressionStatement", "src": "4288:53:3" }, { "expression": { "id": 906, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 902, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4351:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 905, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 903, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4362:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "37", "id": 904, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4372:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_7_by_1", "typeString": "int_const 7" }, "value": "7" }, "src": "4362:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4351:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 907, "nodeType": "ExpressionStatement", "src": "4351:22:3" }, { "expression": { "id": 924, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 908, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4383:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 923, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 918, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 916, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 911, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 909, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4393:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 910, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4403:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4393:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 914, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4414:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 913, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4410:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 912, "name": "int", "nodeType": "ElementaryTypeName", "src": "4410:3:3", "typeDescriptions": {} } }, "id": 915, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4410:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4393:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 917, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4421:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4393:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 921, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4432:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 920, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4428:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 919, "name": "int", "nodeType": "ElementaryTypeName", "src": "4428:3:3", "typeDescriptions": {} } }, "id": 922, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4428:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4393:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4383:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 925, "nodeType": "ExpressionStatement", "src": "4383:53:3" }, { "expression": { "id": 930, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 926, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4446:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 929, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 927, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4457:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "39", "id": 928, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4467:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_9_by_1", "typeString": "int_const 9" }, "value": "9" }, "src": "4457:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4446:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 931, "nodeType": "ExpressionStatement", "src": "4446:22:3" }, { "expression": { "id": 948, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 932, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4478:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 947, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 942, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 940, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 935, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 933, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4488:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 934, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4498:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4488:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 938, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4509:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 937, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4505:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 936, "name": "int", "nodeType": "ElementaryTypeName", "src": "4505:3:3", "typeDescriptions": {} } }, "id": 939, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4505:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4488:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 941, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4516:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4488:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 945, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4527:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 944, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4523:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 943, "name": "int", "nodeType": "ElementaryTypeName", "src": "4523:3:3", "typeDescriptions": {} } }, "id": 946, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4523:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4488:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4478:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 949, "nodeType": "ExpressionStatement", "src": "4478:53:3" }, { "expression": { "id": 954, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 950, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4541:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 953, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 951, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4552:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3131", "id": 952, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4562:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_11_by_1", "typeString": "int_const 11" }, "value": "11" }, "src": "4552:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4541:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 955, "nodeType": "ExpressionStatement", "src": "4541:23:3" }, { "expression": { "id": 972, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 956, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4574:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 971, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 966, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 964, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 959, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 957, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4584:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 958, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4594:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4584:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 962, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4605:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 961, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4601:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 960, "name": "int", "nodeType": "ElementaryTypeName", "src": "4601:3:3", "typeDescriptions": {} } }, "id": 963, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4601:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4584:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 965, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4612:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4584:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 969, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4623:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 968, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4619:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 967, "name": "int", "nodeType": "ElementaryTypeName", "src": "4619:3:3", "typeDescriptions": {} } }, "id": 970, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4619:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4584:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4574:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 973, "nodeType": "ExpressionStatement", "src": "4574:53:3" }, { "expression": { "id": 978, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 974, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4637:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 977, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 975, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4648:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3133", "id": 976, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4658:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_13_by_1", "typeString": "int_const 13" }, "value": "13" }, "src": "4648:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4637:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 979, "nodeType": "ExpressionStatement", "src": "4637:23:3" }, { "expression": { "id": 996, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 980, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4670:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 995, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 990, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 988, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 983, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 981, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4680:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 982, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4690:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4680:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 986, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4701:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 985, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4697:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 984, "name": "int", "nodeType": "ElementaryTypeName", "src": "4697:3:3", "typeDescriptions": {} } }, "id": 987, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4697:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4680:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 989, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4708:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4680:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 993, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4719:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 992, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4715:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 991, "name": "int", "nodeType": "ElementaryTypeName", "src": "4715:3:3", "typeDescriptions": {} } }, "id": 994, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4715:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4680:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4670:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 997, "nodeType": "ExpressionStatement", "src": "4670:53:3" }, { "expression": { "id": 1002, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 998, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4733:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1001, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 999, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4744:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3135", "id": 1000, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4754:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_15_by_1", "typeString": "int_const 15" }, "value": "15" }, "src": "4744:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4733:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1003, "nodeType": "ExpressionStatement", "src": "4733:23:3" }, { "expression": { "id": 1020, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1004, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4766:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1019, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1014, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1012, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1007, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1005, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4776:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1006, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4786:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4776:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1010, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4797:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1009, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4793:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1008, "name": "int", "nodeType": "ElementaryTypeName", "src": "4793:3:3", "typeDescriptions": {} } }, "id": 1011, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4793:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4776:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1013, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4804:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4776:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1017, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4815:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1016, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4811:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1015, "name": "int", "nodeType": "ElementaryTypeName", "src": "4811:3:3", "typeDescriptions": {} } }, "id": 1018, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4811:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4776:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4766:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1021, "nodeType": "ExpressionStatement", "src": "4766:53:3" }, { "expression": { "id": 1026, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1022, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4829:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1025, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1023, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4840:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3137", "id": 1024, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4850:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_17_by_1", "typeString": "int_const 17" }, "value": "17" }, "src": "4840:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4829:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1027, "nodeType": "ExpressionStatement", "src": "4829:23:3" }, { "expression": { "id": 1044, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1028, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4862:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1043, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1038, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1036, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1031, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1029, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4872:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1030, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4882:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4872:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1034, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4893:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1033, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4889:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1032, "name": "int", "nodeType": "ElementaryTypeName", "src": "4889:3:3", "typeDescriptions": {} } }, "id": 1035, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4889:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4872:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1037, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4900:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4872:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1041, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4911:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1040, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4907:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1039, "name": "int", "nodeType": "ElementaryTypeName", "src": "4907:3:3", "typeDescriptions": {} } }, "id": 1042, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4907:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4872:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4862:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1045, "nodeType": "ExpressionStatement", "src": "4862:53:3" }, { "expression": { "id": 1050, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1046, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4925:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1049, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1047, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4936:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3139", "id": 1048, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4946:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_19_by_1", "typeString": "int_const 19" }, "value": "19" }, "src": "4936:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4925:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1051, "nodeType": "ExpressionStatement", "src": "4925:23:3" }, { "expression": { "id": 1068, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1052, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4958:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1067, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1062, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1060, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1055, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1053, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4968:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1054, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4978:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4968:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1058, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4989:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1057, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4985:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1056, "name": "int", "nodeType": "ElementaryTypeName", "src": "4985:3:3", "typeDescriptions": {} } }, "id": 1059, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4985:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4968:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1061, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4996:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4968:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1065, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5007:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1064, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5003:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1063, "name": "int", "nodeType": "ElementaryTypeName", "src": "5003:3:3", "typeDescriptions": {} } }, "id": 1066, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5003:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4968:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4958:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1069, "nodeType": "ExpressionStatement", "src": "4958:53:3" }, { "expression": { "id": 1074, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1070, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "5021:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1073, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1071, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5032:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3231", "id": 1072, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5042:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_21_by_1", "typeString": "int_const 21" }, "value": "21" }, "src": "5032:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5021:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1075, "nodeType": "ExpressionStatement", "src": "5021:23:3" }, { "expression": { "id": 1092, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1076, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5054:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1091, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1086, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1084, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1079, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1077, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5064:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1078, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "5074:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5064:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1082, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5085:3:3", "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": "5081:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1080, "name": "int", "nodeType": "ElementaryTypeName", "src": "5081:3:3", "typeDescriptions": {} } }, "id": 1083, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5081:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5064:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1085, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "5092:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5064:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1089, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5103:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1088, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5099:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1087, "name": "int", "nodeType": "ElementaryTypeName", "src": "5099:3:3", "typeDescriptions": {} } }, "id": 1090, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5099:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5064:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5054:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1093, "nodeType": "ExpressionStatement", "src": "5054:53:3" }, { "expression": { "id": 1098, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1094, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "5117:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1097, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1095, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5128:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3233", "id": 1096, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5138:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_23_by_1", "typeString": "int_const 23" }, "value": "23" }, "src": "5128:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5117:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1099, "nodeType": "ExpressionStatement", "src": "5117:23:3" }, { "expression": { "id": 1116, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1100, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5150:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1115, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1110, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1108, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1103, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1101, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5160:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1102, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "5170:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5160:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1106, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5181:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1105, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5177:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1104, "name": "int", "nodeType": "ElementaryTypeName", "src": "5177:3:3", "typeDescriptions": {} } }, "id": 1107, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5177:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5160:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1109, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "5188:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5160:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1113, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5199:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1112, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5195:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1111, "name": "int", "nodeType": "ElementaryTypeName", "src": "5195:3:3", "typeDescriptions": {} } }, "id": 1114, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5195:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5160:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5150:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1117, "nodeType": "ExpressionStatement", "src": "5150:53:3" }, { "expression": { "id": 1122, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1118, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "5213:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1121, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1119, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5224:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3235", "id": 1120, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5234:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_25_by_1", "typeString": "int_const 25" }, "value": "25" }, "src": "5224:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5213:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1123, "nodeType": "ExpressionStatement", "src": "5213:23:3" }, { "expression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1144, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1140, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1135, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1129, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1124, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 772, "src": "5254:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "arguments": [ { "id": 1127, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5266:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1126, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5262:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1125, "name": "int", "nodeType": "ElementaryTypeName", "src": "5262:3:3", "typeDescriptions": {} } }, "id": 1128, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5262:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5254:16:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1130, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5253:18:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "arguments": [ { "id": 1133, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5278:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1132, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5274:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1131, "name": "int", "nodeType": "ElementaryTypeName", "src": "5274:3:3", "typeDescriptions": {} } }, "id": 1134, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5274:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5253:29:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1138, "name": "LOG2_E", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 364, "src": "5289:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1137, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5285:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1136, "name": "int", "nodeType": "ElementaryTypeName", "src": "5285:3:3", "typeDescriptions": {} } }, "id": 1139, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5285:11:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5253:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1143, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "32", "id": 1141, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5299:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1142, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "5303:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5299:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5253:57:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 764, "id": 1145, "nodeType": "Return", "src": "5246:64:3" } ] }, "documentation": { "id": 758, "nodeType": "StructuredDocumentation", "src": "3441:92:3", "text": "@dev Returns natural logarithm value of given x\n @param x x\n @return ln(x)" }, "functionSelector": "24d4e90a", "id": 1147, "implemented": true, "kind": "function", "modifiers": [], "name": "ln", "nodeType": "FunctionDefinition", "parameters": { "id": 761, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 760, "mutability": "mutable", "name": "x", "nodeType": "VariableDeclaration", "scope": 1147, "src": "3550:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 759, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3550:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "3549:8:3" }, "returnParameters": { "id": 764, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 763, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1147, "src": "3579:3:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 762, "name": "int", "nodeType": "ElementaryTypeName", "src": "3579:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "3578:5:3" }, "scope": 1553, "src": "3538:1779:3", "stateMutability": "pure", "virtual": false, "visibility": "public" }, { "body": { "id": 1225, "nodeType": "Block", "src": "5492:373:3", "statements": [ { "expression": { "id": 1158, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1155, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5502:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "id": 1157, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "5507:3:3", "subExpression": { "hexValue": "3634", "id": 1156, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5508:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_64_by_1", "typeString": "int_const 64" }, "value": "64" }, "typeDescriptions": { "typeIdentifier": "t_rational_minus_64_by_1", "typeString": "int_const -64" } }, "src": "5502:8:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1159, "nodeType": "ExpressionStatement", "src": "5502:8:3" }, { "assignments": [ 1161 ], "declarations": [ { "constant": false, "id": 1161, "mutability": "mutable", "name": "hi", "nodeType": "VariableDeclaration", "scope": 1225, "src": "5520:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1160, "name": "int", "nodeType": "ElementaryTypeName", "src": "5520:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 1163, "initialValue": { "hexValue": "313933", "id": 1162, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5529:3:3", "typeDescriptions": { "typeIdentifier": "t_rational_193_by_1", "typeString": "int_const 193" }, "value": "193" }, "nodeType": "VariableDeclarationStatement", "src": "5520:12:3" }, { "assignments": [ 1165 ], "declarations": [ { "constant": false, "id": 1165, "mutability": "mutable", "name": "mid", "nodeType": "VariableDeclaration", "scope": 1225, "src": "5635:7:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1164, "name": "int", "nodeType": "ElementaryTypeName", "src": "5635:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 1172, "initialValue": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1171, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1168, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1166, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1161, "src": "5646:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1167, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5651:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5646:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1169, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5645:9:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "hexValue": "31", "id": 1170, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5658:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5645:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "5635:24:3" }, { "body": { "id": 1223, "nodeType": "Block", "src": "5691:168:3", "statements": [ { "condition": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1204, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1191, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1181, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1179, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5709:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "hexValue": "30", "id": 1180, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5715:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "5709:7:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1190, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1188, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1182, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1150, "src": "5720:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "arguments": [ { "id": 1186, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "5730:4:3", "subExpression": { "id": 1185, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5731:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1184, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5725:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 1183, "name": "uint", "nodeType": "ElementaryTypeName", "src": "5725:4:3", "typeDescriptions": {} } }, "id": 1187, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5725:10:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5720:15:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 1189, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5738:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5720:21:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5709:32:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1203, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1194, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1192, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5745:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 1193, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5752:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "5745:8:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1202, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1200, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1195, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1150, "src": "5757:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "arguments": [ { "id": 1198, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5767:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1197, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5762:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 1196, "name": "uint", "nodeType": "ElementaryTypeName", "src": "5762:4:3", "typeDescriptions": {} } }, "id": 1199, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5762:9:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5757:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 1201, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5774:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5757:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5745:32:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5709:68:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "id": 1211, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1209, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5806:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "id": 1210, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5811:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5806:8:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1212, "nodeType": "ExpressionStatement", "src": "5806:8:3" }, "id": 1213, "nodeType": "IfStatement", "src": "5705:109:3", "trueBody": { "expression": { "id": 1207, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1205, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1161, "src": "5779:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "id": 1206, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5784:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5779:8:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1208, "nodeType": "ExpressionStatement", "src": "5779:8:3" } }, { "expression": { "id": 1221, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1214, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5828:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1220, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1217, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1215, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1161, "src": "5835:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1216, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5840:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5835:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1218, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5834:9:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "hexValue": "31", "id": 1219, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5847:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5834:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5828:20:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1222, "nodeType": "ExpressionStatement", "src": "5828:20:3" } ] }, "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1178, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1175, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1173, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5677:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "hexValue": "31", "id": 1174, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5682:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5677:6:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1176, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5676:8:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 1177, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1161, "src": "5687:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5676:13:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1224, "nodeType": "WhileStatement", "src": "5669:190:3" } ] }, "documentation": { "id": 1148, "nodeType": "StructuredDocumentation", "src": "5323:108:3", "text": "@dev Returns base 2 logarithm value of given x\n @param x x\n @return lo - logarithmic value" }, "functionSelector": "45b8bafc", "id": 1226, "implemented": true, "kind": "function", "modifiers": [], "name": "floorLog2", "nodeType": "FunctionDefinition", "parameters": { "id": 1151, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1150, "mutability": "mutable", "name": "x", "nodeType": "VariableDeclaration", "scope": 1226, "src": "5455:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1149, "name": "uint", "nodeType": "ElementaryTypeName", "src": "5455:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "5454:8:3" }, "returnParameters": { "id": 1154, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1153, "mutability": "mutable", "name": "lo", "nodeType": "VariableDeclaration", "scope": 1226, "src": "5484:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1152, "name": "int", "nodeType": "ElementaryTypeName", "src": "5484:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "5483:8:3" }, "scope": 1553, "src": "5436:429:3", "stateMutability": "pure", "virtual": false, "visibility": "public" }, { "body": { "id": 1273, "nodeType": "Block", "src": "6061:156:3", "statements": [ { "expression": { "arguments": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1239, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "expression": { "id": 1236, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1230, "src": "6079:4:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1237, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "src": "6079:11:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "hexValue": "30", "id": 1238, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6093:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "6079:15:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1235, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "6071:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1240, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6071:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1241, "nodeType": "ExpressionStatement", "src": "6071:24:3" }, { "expression": { "id": 1247, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1242, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1233, "src": "6105:6:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_rational_minus_57896044618658097711785492504343953926634992332820282019728792003956564819968_by_1", "typeString": "int_const -578...(70 digits omitted)...9968" }, "id": 1246, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "id": 1244, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "6114:2:3", "subExpression": { "hexValue": "32", "id": 1243, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6115:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "typeDescriptions": { "typeIdentifier": "t_rational_minus_2_by_1", "typeString": "int_const -2" } }, "nodeType": "BinaryOperation", "operator": "**", "rightExpression": { "hexValue": "323535", "id": 1245, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6120:3:3", "typeDescriptions": { "typeIdentifier": "t_rational_255_by_1", "typeString": "int_const 255" }, "value": "255" }, "src": "6114:9:3", "typeDescriptions": { "typeIdentifier": "t_rational_minus_57896044618658097711785492504343953926634992332820282019728792003956564819968_by_1", "typeString": "int_const -578...(70 digits omitted)...9968" } }, "src": "6105:18:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1248, "nodeType": "ExpressionStatement", "src": "6105:18:3" }, { "body": { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1264, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "baseExpression": { "id": 1260, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1230, "src": "6176:4:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1262, "indexExpression": { "id": 1261, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1250, "src": "6181:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "6176:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "id": 1263, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1233, "src": "6186:6:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "6176:16:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1271, "nodeType": "IfStatement", "src": "6172:38:3", "trueBody": { "expression": { "id": 1269, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1265, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1233, "src": "6194:6:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "baseExpression": { "id": 1266, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1230, "src": "6203:4:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1268, "indexExpression": { "id": 1267, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1250, "src": "6208:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "6203:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "6194:16:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1270, "nodeType": "ExpressionStatement", "src": "6194:16:3" } }, "condition": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1256, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1253, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1250, "src": "6150:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "expression": { "id": 1254, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1230, "src": "6154:4:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1255, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "src": "6154:11:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6150:15:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1272, "initializationExpression": { "assignments": [ 1250 ], "declarations": [ { "constant": false, "id": 1250, "mutability": "mutable", "name": "i", "nodeType": "VariableDeclaration", "scope": 1272, "src": "6138:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1249, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6138:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "id": 1252, "initialValue": { "hexValue": "30", "id": 1251, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6147:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "nodeType": "VariableDeclarationStatement", "src": "6138:10:3" }, "loopExpression": { "expression": { "id": 1258, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "++", "prefix": false, "src": "6167:3:3", "subExpression": { "id": 1257, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1250, "src": "6167:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 1259, "nodeType": "ExpressionStatement", "src": "6167:3:3" }, "nodeType": "ForStatement", "src": "6133:77:3" } ] }, "documentation": { "id": 1227, "nodeType": "StructuredDocumentation", "src": "5871:120:3", "text": "@dev Returns maximum of an array\n @param nums Numbers to look through\n @return maxNum - Maximum number" }, "functionSelector": "ccc13814", "id": 1274, "implemented": true, "kind": "function", "modifiers": [], "name": "max", "nodeType": "FunctionDefinition", "parameters": { "id": 1231, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1230, "mutability": "mutable", "name": "nums", "nodeType": "VariableDeclaration", "scope": 1274, "src": "6009:17:3", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[]" }, "typeName": { "baseType": { "id": 1228, "name": "int", "nodeType": "ElementaryTypeName", "src": "6009:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1229, "nodeType": "ArrayTypeName", "src": "6009:5:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_storage_ptr", "typeString": "int256[]" } }, "visibility": "internal" } ], "src": "6008:19:3" }, "returnParameters": { "id": 1234, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1233, "mutability": "mutable", "name": "maxNum", "nodeType": "VariableDeclaration", "scope": 1274, "src": "6049:10:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1232, "name": "int", "nodeType": "ElementaryTypeName", "src": "6049:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "6048:12:3" }, "scope": 1553, "src": "5996:221:3", "stateMutability": "pure", "virtual": false, "visibility": "public" }, { "body": { "id": 1290, "nodeType": "Block", "src": "6452:34:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1288, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1286, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1284, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1277, "src": "6469:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1285, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1279, "src": "6473:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6469:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "id": 1287, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1277, "src": "6478:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6469:10:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1283, "id": 1289, "nodeType": "Return", "src": "6462:17:3" } ] }, "documentation": { "id": 1275, "nodeType": "StructuredDocumentation", "src": "6223:160:3", "text": "@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": 1291, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToAdd", "nodeType": "FunctionDefinition", "parameters": { "id": 1280, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1277, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1291, "src": "6407:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1276, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6407:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1279, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1291, "src": "6415:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1278, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6415:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "6406:16:3" }, "returnParameters": { "id": 1283, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1282, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1291, "src": "6446:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1281, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6446:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "6445:6:3" }, "scope": 1553, "src": "6388:98:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1305, "nodeType": "Block", "src": "6722:30:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1303, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1301, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1294, "src": "6739:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "id": 1302, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1296, "src": "6744:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6739:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1300, "id": 1304, "nodeType": "Return", "src": "6732:13:3" } ] }, "documentation": { "id": 1292, "nodeType": "StructuredDocumentation", "src": "6492:161:3", "text": "@dev Returns whether a subtraction operation causes an underflow\n @param a Minuend\n @param b Subtrahend\n @return Did no underflow occur?" }, "id": 1306, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToSub", "nodeType": "FunctionDefinition", "parameters": { "id": 1297, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1294, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1306, "src": "6677:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1293, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6677:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1296, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1306, "src": "6685:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1295, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6685:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "6676:16:3" }, "returnParameters": { "id": 1300, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1299, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1306, "src": "6716:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1298, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6716:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "6715:6:3" }, "scope": 1553, "src": "6658:94:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1328, "nodeType": "Block", "src": "6991:48:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1326, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1318, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1316, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1311, "src": "7008:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "hexValue": "30", "id": 1317, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "7013:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "7008:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1325, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1323, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1321, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1319, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1309, "src": "7018:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1320, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1311, "src": "7022:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7018:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 1322, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1311, "src": "7026:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7018:9:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "id": 1324, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1309, "src": "7031:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7018:14:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "7008:24:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1315, "id": 1327, "nodeType": "Return", "src": "7001:31:3" } ] }, "documentation": { "id": 1307, "nodeType": "StructuredDocumentation", "src": "6758:164:3", "text": "@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": 1329, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToMul", "nodeType": "FunctionDefinition", "parameters": { "id": 1312, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1309, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1329, "src": "6946:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1308, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6946:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1311, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1329, "src": "6954:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1310, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6954:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "6945:16:3" }, "returnParameters": { "id": 1315, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1314, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1329, "src": "6985:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1313, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6985:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "6984:6:3" }, "scope": 1553, "src": "6927:112:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1350, "nodeType": "Block", "src": "7233:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1341, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1332, "src": "7261:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "id": 1342, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1334, "src": "7264:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1340, "name": "safeToAdd", "nodeType": "Identifier", "overloadedDeclarations": [ 1291, 1428 ], "referencedDeclaration": 1291, "src": "7251:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1343, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7251:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1339, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "7243:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1344, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7243:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1345, "nodeType": "ExpressionStatement", "src": "7243:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1348, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1346, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1332, "src": "7284:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1347, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1334, "src": "7288:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7284:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1338, "id": 1349, "nodeType": "Return", "src": "7277:12:3" } ] }, "documentation": { "id": 1330, "nodeType": "StructuredDocumentation", "src": "7045:125:3", "text": "@dev Returns sum if no overflow occurred\n @param a First addend\n @param b Second addend\n @return Sum" }, "id": 1351, "implemented": true, "kind": "function", "modifiers": [], "name": "add", "nodeType": "FunctionDefinition", "parameters": { "id": 1335, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1332, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1351, "src": "7188:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1331, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7188:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1334, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1351, "src": "7196:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1333, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7196:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7187:16:3" }, "returnParameters": { "id": 1338, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1337, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1351, "src": "7227:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1336, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7227:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7226:6:3" }, "scope": 1553, "src": "7175:121:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1372, "nodeType": "Block", "src": "7496:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1363, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1354, "src": "7524:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "id": 1364, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1356, "src": "7527:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1362, "name": "safeToSub", "nodeType": "Identifier", "overloadedDeclarations": [ 1306, 1461 ], "referencedDeclaration": 1306, "src": "7514:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1365, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7514:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1361, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "7506:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1366, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7506:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1367, "nodeType": "ExpressionStatement", "src": "7506:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1370, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1368, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1354, "src": "7547:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "id": 1369, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1356, "src": "7551:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7547:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1360, "id": 1371, "nodeType": "Return", "src": "7540:12:3" } ] }, "documentation": { "id": 1352, "nodeType": "StructuredDocumentation", "src": "7302:131:3", "text": "@dev Returns difference if no overflow occurred\n @param a Minuend\n @param b Subtrahend\n @return Difference" }, "id": 1373, "implemented": true, "kind": "function", "modifiers": [], "name": "sub", "nodeType": "FunctionDefinition", "parameters": { "id": 1357, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1354, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1373, "src": "7451:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1353, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7451:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1356, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1373, "src": "7459:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1355, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7459:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7450:16:3" }, "returnParameters": { "id": 1360, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1359, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1373, "src": "7490:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1358, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7490:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7489:6:3" }, "scope": 1553, "src": "7438:121:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1394, "nodeType": "Block", "src": "7761:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1385, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1376, "src": "7789:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "id": 1386, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1378, "src": "7792:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1384, "name": "safeToMul", "nodeType": "Identifier", "overloadedDeclarations": [ 1329, 1486 ], "referencedDeclaration": 1329, "src": "7779:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1387, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7779:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1383, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "7771:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1388, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7771:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1389, "nodeType": "ExpressionStatement", "src": "7771:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1392, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1390, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1376, "src": "7812:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1391, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1378, "src": "7816:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7812:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1382, "id": 1393, "nodeType": "Return", "src": "7805:12:3" } ] }, "documentation": { "id": 1374, "nodeType": "StructuredDocumentation", "src": "7565:133:3", "text": "@dev Returns product if no overflow occurred\n @param a First factor\n @param b Second factor\n @return Product" }, "id": 1395, "implemented": true, "kind": "function", "modifiers": [], "name": "mul", "nodeType": "FunctionDefinition", "parameters": { "id": 1379, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1376, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1395, "src": "7716:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1375, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7716:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1378, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1395, "src": "7724:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1377, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7724:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7715:16:3" }, "returnParameters": { "id": 1382, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1381, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1395, "src": "7755:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1380, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7755:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7754:6:3" }, "scope": 1553, "src": "7703:121:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1427, "nodeType": "Block", "src": "8057:70:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1425, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1413, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1407, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1405, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1400, "src": "8075:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 1406, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8080:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8075:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1412, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1410, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1408, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1398, "src": "8085:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1409, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1400, "src": "8089:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8085:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "id": 1411, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1398, "src": "8094:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8085:10:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8075:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1414, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8074:22:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1423, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1417, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1415, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1400, "src": "8101:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "hexValue": "30", "id": 1416, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8105:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8101:5:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1422, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1420, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1418, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1398, "src": "8110:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1419, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1400, "src": "8114:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8110:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 1421, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1398, "src": "8118:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8110:9:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8101:18:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1424, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8100:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8074:46:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1404, "id": 1426, "nodeType": "Return", "src": "8067:53:3" } ] }, "documentation": { "id": 1396, "nodeType": "StructuredDocumentation", "src": "7830:160:3", "text": "@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": 1428, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToAdd", "nodeType": "FunctionDefinition", "parameters": { "id": 1401, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1398, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1428, "src": "8014:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1397, "name": "int", "nodeType": "ElementaryTypeName", "src": "8014:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1400, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1428, "src": "8021:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1399, "name": "int", "nodeType": "ElementaryTypeName", "src": "8021:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8013:14:3" }, "returnParameters": { "id": 1404, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1403, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1428, "src": "8051:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1402, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8051:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "8050:6:3" }, "scope": 1553, "src": "7995:132:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1460, "nodeType": "Block", "src": "8361:70:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1458, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1446, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1440, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1438, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "8379:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 1439, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8384:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8379:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1445, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1443, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1441, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1431, "src": "8389:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "id": 1442, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "8393:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8389:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "id": 1444, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1431, "src": "8398:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8389:10:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8379:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1447, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8378:22:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1456, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1450, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1448, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "8405:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "hexValue": "30", "id": 1449, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8409:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8405:5:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1455, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1453, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1451, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1431, "src": "8414:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "id": 1452, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "8418:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8414:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "id": 1454, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1431, "src": "8422:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8414:9:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8405:18:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1457, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8404:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8378:46:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1437, "id": 1459, "nodeType": "Return", "src": "8371:53:3" } ] }, "documentation": { "id": 1429, "nodeType": "StructuredDocumentation", "src": "8133:161:3", "text": "@dev Returns whether a subtraction operation causes an underflow\n @param a Minuend\n @param b Subtrahend\n @return Did no underflow occur?" }, "id": 1461, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToSub", "nodeType": "FunctionDefinition", "parameters": { "id": 1434, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1431, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1461, "src": "8318:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1430, "name": "int", "nodeType": "ElementaryTypeName", "src": "8318:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1433, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1461, "src": "8325:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1432, "name": "int", "nodeType": "ElementaryTypeName", "src": "8325:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8317:14:3" }, "returnParameters": { "id": 1437, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1436, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1461, "src": "8355:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1435, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8355:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "8354:6:3" }, "scope": 1553, "src": "8299:132:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1485, "nodeType": "Block", "src": "8668:52:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1483, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1473, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1471, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1466, "src": "8686:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "hexValue": "30", "id": 1472, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8691:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8686:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1474, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8685:8:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1481, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1479, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1477, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1475, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1464, "src": "8698:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1476, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1466, "src": "8702:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8698:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 1478, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1466, "src": "8706:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8698:9:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "id": 1480, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1464, "src": "8711:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8698:14:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1482, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8697:16:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8685:28:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1470, "id": 1484, "nodeType": "Return", "src": "8678:35:3" } ] }, "documentation": { "id": 1462, "nodeType": "StructuredDocumentation", "src": "8437:164:3", "text": "@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": 1486, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToMul", "nodeType": "FunctionDefinition", "parameters": { "id": 1467, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1464, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1486, "src": "8625:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1463, "name": "int", "nodeType": "ElementaryTypeName", "src": "8625:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1466, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1486, "src": "8632:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1465, "name": "int", "nodeType": "ElementaryTypeName", "src": "8632:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8624:14:3" }, "returnParameters": { "id": 1470, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1469, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1486, "src": "8662:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1468, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8662:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "8661:6:3" }, "scope": 1553, "src": "8606:114:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1507, "nodeType": "Block", "src": "8911:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1498, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1489, "src": "8939:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "id": 1499, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1491, "src": "8942:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1497, "name": "safeToAdd", "nodeType": "Identifier", "overloadedDeclarations": [ 1291, 1428 ], "referencedDeclaration": 1428, "src": "8929:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1500, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "8929:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1496, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "8921:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1501, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "8921:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1502, "nodeType": "ExpressionStatement", "src": "8921:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1505, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1503, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1489, "src": "8962:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1504, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1491, "src": "8966:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8962:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1495, "id": 1506, "nodeType": "Return", "src": "8955:12:3" } ] }, "documentation": { "id": 1487, "nodeType": "StructuredDocumentation", "src": "8726:125:3", "text": "@dev Returns sum if no overflow occurred\n @param a First addend\n @param b Second addend\n @return Sum" }, "id": 1508, "implemented": true, "kind": "function", "modifiers": [], "name": "add", "nodeType": "FunctionDefinition", "parameters": { "id": 1492, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1489, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1508, "src": "8869:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1488, "name": "int", "nodeType": "ElementaryTypeName", "src": "8869:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1491, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1508, "src": "8876:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1490, "name": "int", "nodeType": "ElementaryTypeName", "src": "8876:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8868:14:3" }, "returnParameters": { "id": 1495, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1494, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1508, "src": "8906:3:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1493, "name": "int", "nodeType": "ElementaryTypeName", "src": "8906:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8905:5:3" }, "scope": 1553, "src": "8856:118:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1529, "nodeType": "Block", "src": "9171:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1520, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "9199:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "id": 1521, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1513, "src": "9202:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1519, "name": "safeToSub", "nodeType": "Identifier", "overloadedDeclarations": [ 1306, 1461 ], "referencedDeclaration": 1461, "src": "9189:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1522, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9189:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1518, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "9181:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1523, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9181:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1524, "nodeType": "ExpressionStatement", "src": "9181:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1527, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1525, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "9222:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "id": 1526, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1513, "src": "9226:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9222:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1517, "id": 1528, "nodeType": "Return", "src": "9215:12:3" } ] }, "documentation": { "id": 1509, "nodeType": "StructuredDocumentation", "src": "8980:131:3", "text": "@dev Returns difference if no overflow occurred\n @param a Minuend\n @param b Subtrahend\n @return Difference" }, "id": 1530, "implemented": true, "kind": "function", "modifiers": [], "name": "sub", "nodeType": "FunctionDefinition", "parameters": { "id": 1514, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1511, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1530, "src": "9129:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1510, "name": "int", "nodeType": "ElementaryTypeName", "src": "9129:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1513, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1530, "src": "9136:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1512, "name": "int", "nodeType": "ElementaryTypeName", "src": "9136:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "9128:14:3" }, "returnParameters": { "id": 1517, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1516, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1530, "src": "9166:3:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1515, "name": "int", "nodeType": "ElementaryTypeName", "src": "9166:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "9165:5:3" }, "scope": 1553, "src": "9116:118:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1551, "nodeType": "Block", "src": "9433:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1542, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1533, "src": "9461:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "id": 1543, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1535, "src": "9464:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1541, "name": "safeToMul", "nodeType": "Identifier", "overloadedDeclarations": [ 1329, 1486 ], "referencedDeclaration": 1486, "src": "9451:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1544, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9451:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1540, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "9443:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1545, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9443:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1546, "nodeType": "ExpressionStatement", "src": "9443:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1549, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1547, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1533, "src": "9484:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1548, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1535, "src": "9488:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9484:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1539, "id": 1550, "nodeType": "Return", "src": "9477:12:3" } ] }, "documentation": { "id": 1531, "nodeType": "StructuredDocumentation", "src": "9240:133:3", "text": "@dev Returns product if no overflow occurred\n @param a First factor\n @param b Second factor\n @return Product" }, "id": 1552, "implemented": true, "kind": "function", "modifiers": [], "name": "mul", "nodeType": "FunctionDefinition", "parameters": { "id": 1536, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1533, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1552, "src": "9391:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1532, "name": "int", "nodeType": "ElementaryTypeName", "src": "9391:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1535, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1552, "src": "9398:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1534, "name": "int", "nodeType": "ElementaryTypeName", "src": "9398:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "9390:14:3" }, "returnParameters": { "id": 1539, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1538, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1552, "src": "9428:3:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1537, "name": "int", "nodeType": "ElementaryTypeName", "src": "9428:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "9427:5:3" }, "scope": 1553, "src": "9378:118:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" } ], "scope": 1554, "src": "242:9256:3" } ], "src": "42:9457:3" }, "legacyAST": { "absolutePath": "/Users/bensniff/Projects/gnosis/util-contracts/contracts/Math.sol", "exportedSymbols": { "GnosisMath": [ 1553 ] }, "id": 1554, "license": "LGPL-3.0-only", "nodeType": "SourceUnit", "nodes": [ { "id": 354, "literals": [ "solidity", "^", "0.7", ".0" ], "nodeType": "PragmaDirective", "src": "42:23:3" }, { "abstract": false, "baseContracts": [], "contractDependencies": [], "contractKind": "library", "documentation": { "id": 355, "nodeType": "StructuredDocumentation", "src": "67:175:3", "text": "@title Math library - Allows calculation of logarithmic and exponential functions\n @author Alan Lu - \n @author Stefan George - " }, "fullyImplemented": true, "id": 1553, "linearizedBaseContracts": [ 1553 ], "name": "GnosisMath", "nodeType": "ContractDefinition", "nodes": [ { "constant": true, "functionSelector": "c2ee3a08", "id": 358, "mutability": "constant", "name": "ONE", "nodeType": "VariableDeclaration", "scope": 1553, "src": "346:46:3", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 356, "name": "uint", "nodeType": "ElementaryTypeName", "src": "346:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "hexValue": "30783130303030303030303030303030303030", "id": 357, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "373:19:3", "typeDescriptions": { "typeIdentifier": "t_rational_18446744073709551616_by_1", "typeString": "int_const 18446744073709551616" }, "value": "0x10000000000000000" }, "visibility": "public" }, { "constant": true, "functionSelector": "02780677", "id": 361, "mutability": "constant", "name": "LN2", "nodeType": "VariableDeclaration", "scope": 1553, "src": "398:45:3", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 359, "name": "uint", "nodeType": "ElementaryTypeName", "src": "398:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "hexValue": "307862313732313766376431636637396163", "id": 360, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "425:18:3", "typeDescriptions": { "typeIdentifier": "t_rational_12786308645202655660_by_1", "typeString": "int_const 12786308645202655660" }, "value": "0xb17217f7d1cf79ac" }, "visibility": "public" }, { "constant": true, "functionSelector": "24902e24", "id": 364, "mutability": "constant", "name": "LOG2_E", "nodeType": "VariableDeclaration", "scope": 1553, "src": "449:49:3", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 362, "name": "uint", "nodeType": "ElementaryTypeName", "src": "449:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "hexValue": "30783137313534373635326238326665313737", "id": 363, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "479:19:3", "typeDescriptions": { "typeIdentifier": "t_rational_26613026195688644983_by_1", "typeString": "int_const 26613026195688644983" }, "value": "0x171547652b82fe177" }, "visibility": "public" }, { "body": { "id": 756, "nodeType": "Block", "src": "699:2736:3", "statements": [ { "expression": { "arguments": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 375, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 373, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "836:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "hexValue": "32343534393731323539383738393039383836363739", "id": 374, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "841:22:3", "typeDescriptions": { "typeIdentifier": "t_rational_2454971259878909886679_by_1", "typeString": "int_const 2454971259878909886679" }, "value": "2454971259878909886679" }, "src": "836:27:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 372, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "828:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 376, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "828:36:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 377, "nodeType": "ExpressionStatement", "src": "828:36:3" }, { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 381, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 378, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "988:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 380, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "992:22:3", "subExpression": { "hexValue": "383138333233373533323932393639393632323237", "id": 379, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "993:21:3", "typeDescriptions": { "typeIdentifier": "t_rational_818323753292969962227_by_1", "typeString": "int_const 818323753292969962227" }, "value": "818323753292969962227" }, "typeDescriptions": { "typeIdentifier": "t_rational_minus_818323753292969962227_by_1", "typeString": "int_const -818323753292969962227" } }, "src": "988:26:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 384, "nodeType": "IfStatement", "src": "984:40:3", "trueBody": { "expression": { "hexValue": "30", "id": 382, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1023:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "functionReturnParameters": 371, "id": 383, "nodeType": "Return", "src": "1016:8:3" } }, { "expression": { "id": 397, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 385, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1074:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 396, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 391, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 386, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1078:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "arguments": [ { "id": 389, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1086:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 388, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1082:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 387, "name": "int", "nodeType": "ElementaryTypeName", "src": "1082:3:3", "typeDescriptions": {} } }, "id": 390, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1082:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1078:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 394, "name": "LN2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 361, "src": "1097:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 393, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1093:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 392, "name": "int", "nodeType": "ElementaryTypeName", "src": "1093:3:3", "typeDescriptions": {} } }, "id": 395, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1093:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1078:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1074:27:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 398, "nodeType": "ExpressionStatement", "src": "1074:27:3" }, { "assignments": [ 400 ], "declarations": [ { "constant": false, "id": 400, "mutability": "mutable", "name": "shift", "nodeType": "VariableDeclaration", "scope": 756, "src": "1237:9:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 399, "name": "int", "nodeType": "ElementaryTypeName", "src": "1237:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 401, "nodeType": "VariableDeclarationStatement", "src": "1237:9:3" }, { "assignments": [ 403 ], "declarations": [ { "constant": false, "id": 403, "mutability": "mutable", "name": "z", "nodeType": "VariableDeclaration", "scope": 756, "src": "1256:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 402, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1256:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "id": 404, "nodeType": "VariableDeclarationStatement", "src": "1256:6:3" }, { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 407, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 405, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1276:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 406, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1281:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "1276:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "id": 456, "nodeType": "Block", "src": "1371:92:3", "statements": [ { "expression": { "id": 439, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 430, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "1385:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 438, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 436, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 431, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1393:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 434, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1401:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 433, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1397:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 432, "name": "int", "nodeType": "ElementaryTypeName", "src": "1397:3:3", "typeDescriptions": {} } }, "id": 435, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1397:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1393:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "hexValue": "31", "id": 437, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1408:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "1393:16:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1385:24:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 440, "nodeType": "ExpressionStatement", "src": "1385:24:3" }, { "expression": { "id": 454, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 441, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "1423:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 453, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 442, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1427:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "arguments": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 451, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 446, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "1438:2:3", "subExpression": { "id": 445, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1439:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "arguments": [ { "id": 449, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1447:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 448, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1443:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 447, "name": "int", "nodeType": "ElementaryTypeName", "src": "1443:3:3", "typeDescriptions": {} } }, "id": 450, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1443:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1438:13:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 444, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1433:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 443, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1433:4:3", "typeDescriptions": {} } }, "id": 452, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1433:19:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1427:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1423:29:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 455, "nodeType": "ExpressionStatement", "src": "1423:29:3" } ] }, "id": 457, "nodeType": "IfStatement", "src": "1272:191:3", "trueBody": { "id": 429, "nodeType": "Block", "src": "1284:81:3", "statements": [ { "expression": { "id": 415, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 408, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "1298:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 414, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 409, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1306:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 412, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1314:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 411, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1310:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 410, "name": "int", "nodeType": "ElementaryTypeName", "src": "1310:3:3", "typeDescriptions": {} } }, "id": 413, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1310:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1306:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1298:20:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 416, "nodeType": "ExpressionStatement", "src": "1298:20:3" }, { "expression": { "id": 427, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 417, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "1332:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "arguments": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 425, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 420, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 367, "src": "1341:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "arguments": [ { "id": 423, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "1349:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 422, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1345:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 421, "name": "int", "nodeType": "ElementaryTypeName", "src": "1345:3:3", "typeDescriptions": {} } }, "id": 424, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1345:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1341:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 419, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1336:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 418, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1336:4:3", "typeDescriptions": {} } }, "id": 426, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1336:18:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1332:22:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 428, "nodeType": "ExpressionStatement", "src": "1332:22:3" } ] } }, { "assignments": [ 459 ], "declarations": [ { "constant": false, "id": 459, "mutability": "mutable", "name": "zpow", "nodeType": "VariableDeclaration", "scope": 756, "src": "1998:9:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 458, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1998:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "id": 461, "initialValue": { "id": 460, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2010:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "1998:13:3" }, { "assignments": [ 463 ], "declarations": [ { "constant": false, "id": 463, "mutability": "mutable", "name": "result", "nodeType": "VariableDeclaration", "scope": 756, "src": "2021:11:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 462, "name": "uint", "nodeType": "ElementaryTypeName", "src": "2021:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "id": 465, "initialValue": { "id": 464, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2035:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "2021:17:3" }, { "expression": { "id": 472, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 466, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2048:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 471, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 469, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307862313732313766376431636637396162", "id": 467, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2058:18:3", "typeDescriptions": { "typeIdentifier": "t_rational_12786308645202655659_by_1", "typeString": "int_const 12786308645202655659" }, "value": "0xb17217f7d1cf79ab" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 468, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2079:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2058:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 470, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2086:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2058:31:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2048:41:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 473, "nodeType": "ExpressionStatement", "src": "2048:41:3" }, { "expression": { "id": 480, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 474, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2099:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 479, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 477, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 475, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2106:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 476, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2113:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2106:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 478, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2117:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2106:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2099:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 481, "nodeType": "ExpressionStatement", "src": "2099:21:3" }, { "expression": { "id": 488, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 482, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2130:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 487, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 485, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307833643766376266663035386231643530", "id": 483, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2140:18:3", "typeDescriptions": { "typeIdentifier": "t_rational_4431396893595737424_by_1", "typeString": "int_const 4431396893595737424" }, "value": "0x3d7f7bff058b1d50" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 484, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2161:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2140:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 486, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2168:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2140:31:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2130:41:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 489, "nodeType": "ExpressionStatement", "src": "2130:41:3" }, { "expression": { "id": 496, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 490, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2181:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 495, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 493, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 491, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2188:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 492, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2195:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2188:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 494, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2199:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2188:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2181:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 497, "nodeType": "ExpressionStatement", "src": "2181:21:3" }, { "expression": { "id": 504, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 498, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2212:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 503, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 501, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078653335383436623832353035666335", "id": 499, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2222:17:3", "typeDescriptions": { "typeIdentifier": "t_rational_1023870087579328453_by_1", "typeString": "int_const 1023870087579328453" }, "value": "0xe35846b82505fc5" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 500, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2242:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2222:24:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 502, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2249:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2222:30:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2212:40:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 505, "nodeType": "ExpressionStatement", "src": "2212:40:3" }, { "expression": { "id": 512, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 506, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2262:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 511, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 509, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 507, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2269:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 508, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2276:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2269:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 510, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2280:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2269:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2262:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 513, "nodeType": "ExpressionStatement", "src": "2262:21:3" }, { "expression": { "id": 520, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 514, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2293:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 519, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 517, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078323736353536646637343963656535", "id": 515, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2303:17:3", "typeDescriptions": { "typeIdentifier": "t_rational_177423166116318949_by_1", "typeString": "int_const 177423166116318949" }, "value": "0x276556df749cee5" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 516, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2323:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2303:24:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 518, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2330:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2303:30:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2293:40:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 521, "nodeType": "ExpressionStatement", "src": "2293:40:3" }, { "expression": { "id": 528, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 522, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2343:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 527, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 525, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 523, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2350:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 524, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2357:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2350:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 526, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2361:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2350:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2343:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 529, "nodeType": "ExpressionStatement", "src": "2343:21:3" }, { "expression": { "id": 536, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 530, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2374:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 535, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 533, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "30783537363166663965323939636334", "id": 531, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2384:16:3", "typeDescriptions": { "typeIdentifier": "t_rational_24596073471909060_by_1", "typeString": "int_const 24596073471909060" }, "value": "0x5761ff9e299cc4" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 532, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2403:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2384:23:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 534, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2410:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2384:29:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2374:39:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 537, "nodeType": "ExpressionStatement", "src": "2374:39:3" }, { "expression": { "id": 544, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 538, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2423:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 543, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 541, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 539, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2430:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 540, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2437:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2430:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 542, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2441:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2430:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2423:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 545, "nodeType": "ExpressionStatement", "src": "2423:21:3" }, { "expression": { "id": 552, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 546, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2454:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 551, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 549, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307861313834383937633336336333", "id": 547, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2464:15:3", "typeDescriptions": { "typeIdentifier": "t_rational_2841449829983171_by_1", "typeString": "int_const 2841449829983171" }, "value": "0xa184897c363c3" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 548, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2482:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2464:22:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 550, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2489:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2464:28:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2454:38:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 553, "nodeType": "ExpressionStatement", "src": "2454:38:3" }, { "expression": { "id": 560, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 554, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2502:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 559, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 557, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 555, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2509:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 556, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2516:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2509:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 558, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2520:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2509:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2502:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 561, "nodeType": "ExpressionStatement", "src": "2502:21:3" }, { "expression": { "id": 568, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 562, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2533:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 567, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 565, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078666665356665326334353836", "id": 563, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2543:14:3", "typeDescriptions": { "typeIdentifier": "t_rational_281363276907910_by_1", "typeString": "int_const 281363276907910" }, "value": "0xffe5fe2c4586" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 564, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2560:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2543:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 566, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2567:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2543:27:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2533:37:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 569, "nodeType": "ExpressionStatement", "src": "2533:37:3" }, { "expression": { "id": 576, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 570, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2580:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 575, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 573, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 571, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2587:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 572, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2594:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2587:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 574, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2598:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2587:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2580:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 577, "nodeType": "ExpressionStatement", "src": "2580:21:3" }, { "expression": { "id": 584, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 578, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2611:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 583, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 581, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078313632633032323361356338", "id": 579, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2621:14:3", "typeDescriptions": { "typeIdentifier": "t_rational_24378270262728_by_1", "typeString": "int_const 24378270262728" }, "value": "0x162c0223a5c8" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 580, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2638:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2621:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 582, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2645:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2621:27:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2611:37:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 585, "nodeType": "ExpressionStatement", "src": "2611:37:3" }, { "expression": { "id": 592, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 586, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2658:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 591, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 589, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 587, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2665:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 588, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2672:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2665:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 590, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2676:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2665:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2658:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 593, "nodeType": "ExpressionStatement", "src": "2658:21:3" }, { "expression": { "id": 600, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 594, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2689:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 599, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 597, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "30783162353235336433393565", "id": 595, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2699:13:3", "typeDescriptions": { "typeIdentifier": "t_rational_1877525477726_by_1", "typeString": "int_const 1877525477726" }, "value": "0x1b5253d395e" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 596, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2715:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2699:20:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 598, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2722:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2699:26:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2689:36:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 601, "nodeType": "ExpressionStatement", "src": "2689:36:3" }, { "expression": { "id": 608, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 602, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2735:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 607, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 605, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 603, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2742:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 604, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2749:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2742:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 606, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2753:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2742:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2735:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 609, "nodeType": "ExpressionStatement", "src": "2735:21:3" }, { "expression": { "id": 616, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 610, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2766:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 615, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 613, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307831653463663531353862", "id": 611, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2776:12:3", "typeDescriptions": { "typeIdentifier": "t_rational_130140149131_by_1", "typeString": "int_const 130140149131" }, "value": "0x1e4cf5158b" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 612, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2791:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2776:19:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 614, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2798:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2776:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2766:35:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 617, "nodeType": "ExpressionStatement", "src": "2766:35:3" }, { "expression": { "id": 624, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 618, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2811:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 623, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 621, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 619, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2818:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 620, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2825:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2818:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 622, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2829:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2818:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2811:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 625, "nodeType": "ExpressionStatement", "src": "2811:21:3" }, { "expression": { "id": 632, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 626, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2842:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 631, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 629, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078316538636163373335", "id": 627, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2852:11:3", "typeDescriptions": { "typeIdentifier": "t_rational_8200570677_by_1", "typeString": "int_const 8200570677" }, "value": "0x1e8cac735" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 628, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2866:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2852:18:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 630, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2873:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2852:24:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2842:34:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 633, "nodeType": "ExpressionStatement", "src": "2842:34:3" }, { "expression": { "id": 640, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 634, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2886:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 639, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 637, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 635, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2893:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 636, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2900:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2893:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 638, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2904:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2893:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2886:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 641, "nodeType": "ExpressionStatement", "src": "2886:21:3" }, { "expression": { "id": 648, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 642, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2917:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 647, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 645, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "30783163336264363530", "id": 643, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2927:10:3", "typeDescriptions": { "typeIdentifier": "t_rational_473683536_by_1", "typeString": "int_const 473683536" }, "value": "0x1c3bd650" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 644, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2940:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2927:17:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 646, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2947:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2927:23:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2917:33:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 649, "nodeType": "ExpressionStatement", "src": "2917:33:3" }, { "expression": { "id": 656, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 650, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2960:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 655, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 653, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 651, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "2967:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 652, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "2974:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2967:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 654, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "2978:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2967:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2960:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 657, "nodeType": "ExpressionStatement", "src": "2960:21:3" }, { "expression": { "id": 664, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 658, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "2991:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 663, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 661, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307831383136313933", "id": 659, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3001:9:3", "typeDescriptions": { "typeIdentifier": "t_rational_25256339_by_1", "typeString": "int_const 25256339" }, "value": "0x1816193" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 660, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3013:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3001:16:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 662, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3020:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3001:22:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2991:32:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 665, "nodeType": "ExpressionStatement", "src": "2991:32:3" }, { "expression": { "id": 672, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 666, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3033:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 671, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 669, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 667, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3040:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 668, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "3047:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3040:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 670, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3051:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3040:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3033:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 673, "nodeType": "ExpressionStatement", "src": "3033:21:3" }, { "expression": { "id": 680, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 674, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3064:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 679, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 677, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078313331343936", "id": 675, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3074:8:3", "typeDescriptions": { "typeIdentifier": "t_rational_1250454_by_1", "typeString": "int_const 1250454" }, "value": "0x131496" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 676, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3085:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3074:15:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 678, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3092:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3074:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3064:31:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 681, "nodeType": "ExpressionStatement", "src": "3064:31:3" }, { "expression": { "id": 688, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 682, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3105:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 687, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 685, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 683, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3112:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 684, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "3119:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3112:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 686, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3123:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3112:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3105:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 689, "nodeType": "ExpressionStatement", "src": "3105:21:3" }, { "expression": { "id": 696, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 690, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3136:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 695, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 693, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "307865316237", "id": 691, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3146:6:3", "typeDescriptions": { "typeIdentifier": "t_rational_57783_by_1", "typeString": "int_const 57783" }, "value": "0xe1b7" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 692, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3155:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3146:13:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 694, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3162:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3146:19:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3136:29:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 697, "nodeType": "ExpressionStatement", "src": "3136:29:3" }, { "expression": { "id": 704, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 698, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3175:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 703, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 701, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 699, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3182:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 700, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 403, "src": "3189:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3182:8:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 702, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3193:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3182:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3175:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 705, "nodeType": "ExpressionStatement", "src": "3175:21:3" }, { "expression": { "id": 712, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 706, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3206:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 711, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 709, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "3078396337", "id": 707, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3216:5:3", "typeDescriptions": { "typeIdentifier": "t_rational_2503_by_1", "typeString": "int_const 2503" }, "value": "0x9c7" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 708, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 459, "src": "3224:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3216:12:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 710, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "3231:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3216:18:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3206:28:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 713, "nodeType": "ExpressionStatement", "src": "3206:28:3" }, { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 716, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 714, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "3248:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 715, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3257:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3248:10:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 753, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 747, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3406:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "arguments": [ { "id": 751, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "3421:6:3", "subExpression": { "id": 750, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "3422:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 749, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3416:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 748, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3416:4:3", "typeDescriptions": {} } }, "id": 752, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3416:12:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3406:22:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 371, "id": 754, "nodeType": "Return", "src": "3399:29:3" }, "id": 755, "nodeType": "IfStatement", "src": "3244:184:3", "trueBody": { "id": 746, "nodeType": "Block", "src": "3260:133:3", "statements": [ { "condition": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 730, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 728, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 717, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3278:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 726, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "arguments": [ { "hexValue": "323536", "id": 720, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3294:3:3", "typeDescriptions": { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" }, "value": "256" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" } ], "id": 719, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3289:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 718, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3289:4:3", "typeDescriptions": {} } }, "id": 721, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3289:9:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "arguments": [ { "id": 724, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "3306:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 723, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3301:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 722, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3301:4:3", "typeDescriptions": {} } }, "id": 725, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3301:11:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3289:23:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 727, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3288:25:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3278:35:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "hexValue": "30", "id": 729, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3316:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3278:39:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 738, "nodeType": "IfStatement", "src": "3274:66:3", "trueBody": { "expression": { "components": [ { "commonType": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" }, "id": 735, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639936_by_1", "typeString": "int_const 1157...(70 digits omitted)...9936" }, "id": 733, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "hexValue": "32", "id": 731, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3327:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "nodeType": "BinaryOperation", "operator": "**", "rightExpression": { "hexValue": "323536", "id": 732, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3332:3:3", "typeDescriptions": { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" }, "value": "256" }, "src": "3327:8:3", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639936_by_1", "typeString": "int_const 1157...(70 digits omitted)...9936" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "hexValue": "31", "id": 734, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3338:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "3327:12:3", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" } } ], "id": 736, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3326:14:3", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" } }, "functionReturnParameters": 371, "id": 737, "nodeType": "Return", "src": "3319:21:3" } }, { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 744, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 739, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 463, "src": "3361:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "arguments": [ { "id": 742, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 400, "src": "3376:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 741, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3371:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 740, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3371:4:3", "typeDescriptions": {} } }, "id": 743, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3371:11:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3361:21:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 371, "id": 745, "nodeType": "Return", "src": "3354:28:3" } ] } } ] }, "documentation": { "id": 365, "nodeType": "StructuredDocumentation", "src": "545:102:3", "text": "@dev Returns natural exponential function value of given x\n @param x x\n @return e**x" }, "functionSelector": "e46751e3", "id": 757, "implemented": true, "kind": "function", "modifiers": [], "name": "exp", "nodeType": "FunctionDefinition", "parameters": { "id": 368, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 367, "mutability": "mutable", "name": "x", "nodeType": "VariableDeclaration", "scope": 757, "src": "665:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 366, "name": "int", "nodeType": "ElementaryTypeName", "src": "665:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "664:7:3" }, "returnParameters": { "id": 371, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 370, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 757, "src": "693:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 369, "name": "uint", "nodeType": "ElementaryTypeName", "src": "693:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "692:6:3" }, "scope": 1553, "src": "652:2783:3", "stateMutability": "pure", "virtual": false, "visibility": "public" }, { "body": { "id": 1146, "nodeType": "Block", "src": "3584:1733:3", "statements": [ { "expression": { "arguments": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 768, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 766, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 760, "src": "3602:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "hexValue": "30", "id": 767, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3606:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3602:5:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 765, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "3594:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 769, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3594:14:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 770, "nodeType": "ExpressionStatement", "src": "3594:14:3" }, { "assignments": [ 772 ], "declarations": [ { "constant": false, "id": 772, "mutability": "mutable", "name": "ilog2", "nodeType": "VariableDeclaration", "scope": 1146, "src": "3662:9:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 771, "name": "int", "nodeType": "ElementaryTypeName", "src": "3662:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 776, "initialValue": { "arguments": [ { "id": 774, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 760, "src": "3684:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 773, "name": "floorLog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1226, "src": "3674:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$returns$_t_int256_$", "typeString": "function (uint256) pure returns (int256)" } }, "id": 775, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3674:12:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "3662:24:3" }, { "assignments": [ 778 ], "declarations": [ { "constant": false, "id": 778, "mutability": "mutable", "name": "z", "nodeType": "VariableDeclaration", "scope": 1146, "src": "3696:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 777, "name": "int", "nodeType": "ElementaryTypeName", "src": "3696:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 779, "nodeType": "VariableDeclarationStatement", "src": "3696:5:3" }, { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 782, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 780, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 772, "src": "3715:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "hexValue": "30", "id": 781, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3723:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3715:9:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "id": 806, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 796, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 778, "src": "3767:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "arguments": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 804, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 799, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 760, "src": "3775:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "arguments": [ { "id": 802, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 772, "src": "3785:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 801, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3780:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 800, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3780:4:3", "typeDescriptions": {} } }, "id": 803, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3780:11:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3775:16:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 798, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3771:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 797, "name": "int", "nodeType": "ElementaryTypeName", "src": "3771:3:3", "typeDescriptions": {} } }, "id": 805, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3771:21:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3767:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 807, "nodeType": "ExpressionStatement", "src": "3767:25:3" }, "id": 808, "nodeType": "IfStatement", "src": "3711:81:3", "trueBody": { "expression": { "id": 794, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 783, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 778, "src": "3726:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "arguments": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 792, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 786, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 760, "src": "3734:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "arguments": [ { "id": 790, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "3744:6:3", "subExpression": { "id": 789, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 772, "src": "3745:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 788, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3739:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 787, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3739:4:3", "typeDescriptions": {} } }, "id": 791, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3739:12:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3734:17:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 785, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3730:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 784, "name": "int", "nodeType": "ElementaryTypeName", "src": "3730:3:3", "typeDescriptions": {} } }, "id": 793, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3730:22:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3726:26:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 795, "nodeType": "ExpressionStatement", "src": "3726:26:3" } }, { "assignments": [ 810 ], "declarations": [ { "constant": false, "id": 810, "mutability": "mutable", "name": "term", "nodeType": "VariableDeclaration", "scope": 1146, "src": "4006:8:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 809, "name": "int", "nodeType": "ElementaryTypeName", "src": "4006:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 831, "initialValue": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 830, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 822, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 816, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 811, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 778, "src": "4018:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "arguments": [ { "id": 814, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4026:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 813, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4022:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 812, "name": "int", "nodeType": "ElementaryTypeName", "src": "4022:3:3", "typeDescriptions": {} } }, "id": 815, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4022:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4018:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 817, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4017:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "arguments": [ { "id": 820, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4038:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 819, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4034:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 818, "name": "int", "nodeType": "ElementaryTypeName", "src": "4034:3:3", "typeDescriptions": {} } }, "id": 821, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4034:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4017:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 828, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 823, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 778, "src": "4046:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "arguments": [ { "id": 826, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4054:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 825, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4050:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 824, "name": "int", "nodeType": "ElementaryTypeName", "src": "4050:3:3", "typeDescriptions": {} } }, "id": 827, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4050:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4046:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 829, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4045:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4017:42:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4006:53:3" }, { "assignments": [ 833 ], "declarations": [ { "constant": false, "id": 833, "mutability": "mutable", "name": "halflnz", "nodeType": "VariableDeclaration", "scope": 1146, "src": "4069:11:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 832, "name": "int", "nodeType": "ElementaryTypeName", "src": "4069:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 835, "initialValue": { "id": 834, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4083:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4069:18:3" }, { "assignments": [ 837 ], "declarations": [ { "constant": false, "id": 837, "mutability": "mutable", "name": "termpow", "nodeType": "VariableDeclaration", "scope": 1146, "src": "4097:11:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 836, "name": "int", "nodeType": "ElementaryTypeName", "src": "4097:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 853, "initialValue": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 852, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 847, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 845, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 840, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 838, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4111:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 839, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4118:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4111:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 843, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4129:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 842, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4125:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 841, "name": "int", "nodeType": "ElementaryTypeName", "src": "4125:3:3", "typeDescriptions": {} } }, "id": 844, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4125:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4111:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 846, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4136:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4111:29:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 850, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4147:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 849, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4143:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 848, "name": "int", "nodeType": "ElementaryTypeName", "src": "4143:3:3", "typeDescriptions": {} } }, "id": 851, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4143:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4111:40:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4097:54:3" }, { "expression": { "id": 858, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 854, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4161:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 857, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 855, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4172:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "33", "id": 856, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4182:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_3_by_1", "typeString": "int_const 3" }, "value": "3" }, "src": "4172:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4161:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 859, "nodeType": "ExpressionStatement", "src": "4161:22:3" }, { "expression": { "id": 876, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 860, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4193:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 875, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 870, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 868, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 863, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 861, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4203:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 862, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4213:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4203:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 866, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4224:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 865, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4220:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 864, "name": "int", "nodeType": "ElementaryTypeName", "src": "4220:3:3", "typeDescriptions": {} } }, "id": 867, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4220:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4203:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 869, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4231:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4203:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 873, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4242:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 872, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4238:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 871, "name": "int", "nodeType": "ElementaryTypeName", "src": "4238:3:3", "typeDescriptions": {} } }, "id": 874, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4238:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4203:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4193:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 877, "nodeType": "ExpressionStatement", "src": "4193:53:3" }, { "expression": { "id": 882, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 878, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4256:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 881, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 879, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4267:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "35", "id": 880, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4277:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_5_by_1", "typeString": "int_const 5" }, "value": "5" }, "src": "4267:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4256:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 883, "nodeType": "ExpressionStatement", "src": "4256:22:3" }, { "expression": { "id": 900, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 884, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4288:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 899, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 894, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 892, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 887, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 885, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4298:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 886, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4308:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4298:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 890, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4319:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 889, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4315:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 888, "name": "int", "nodeType": "ElementaryTypeName", "src": "4315:3:3", "typeDescriptions": {} } }, "id": 891, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4315:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4298:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 893, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4326:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4298:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 897, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4337:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 896, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4333:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 895, "name": "int", "nodeType": "ElementaryTypeName", "src": "4333:3:3", "typeDescriptions": {} } }, "id": 898, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4333:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4298:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4288:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 901, "nodeType": "ExpressionStatement", "src": "4288:53:3" }, { "expression": { "id": 906, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 902, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4351:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 905, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 903, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4362:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "37", "id": 904, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4372:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_7_by_1", "typeString": "int_const 7" }, "value": "7" }, "src": "4362:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4351:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 907, "nodeType": "ExpressionStatement", "src": "4351:22:3" }, { "expression": { "id": 924, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 908, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4383:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 923, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 918, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 916, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 911, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 909, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4393:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 910, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4403:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4393:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 914, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4414:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 913, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4410:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 912, "name": "int", "nodeType": "ElementaryTypeName", "src": "4410:3:3", "typeDescriptions": {} } }, "id": 915, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4410:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4393:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 917, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4421:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4393:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 921, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4432:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 920, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4428:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 919, "name": "int", "nodeType": "ElementaryTypeName", "src": "4428:3:3", "typeDescriptions": {} } }, "id": 922, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4428:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4393:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4383:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 925, "nodeType": "ExpressionStatement", "src": "4383:53:3" }, { "expression": { "id": 930, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 926, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4446:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 929, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 927, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4457:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "39", "id": 928, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4467:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_9_by_1", "typeString": "int_const 9" }, "value": "9" }, "src": "4457:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4446:22:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 931, "nodeType": "ExpressionStatement", "src": "4446:22:3" }, { "expression": { "id": 948, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 932, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4478:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 947, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 942, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 940, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 935, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 933, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4488:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 934, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4498:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4488:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 938, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4509:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 937, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4505:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 936, "name": "int", "nodeType": "ElementaryTypeName", "src": "4505:3:3", "typeDescriptions": {} } }, "id": 939, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4505:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4488:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 941, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4516:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4488:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 945, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4527:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 944, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4523:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 943, "name": "int", "nodeType": "ElementaryTypeName", "src": "4523:3:3", "typeDescriptions": {} } }, "id": 946, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4523:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4488:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4478:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 949, "nodeType": "ExpressionStatement", "src": "4478:53:3" }, { "expression": { "id": 954, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 950, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4541:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 953, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 951, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4552:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3131", "id": 952, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4562:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_11_by_1", "typeString": "int_const 11" }, "value": "11" }, "src": "4552:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4541:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 955, "nodeType": "ExpressionStatement", "src": "4541:23:3" }, { "expression": { "id": 972, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 956, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4574:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 971, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 966, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 964, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 959, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 957, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4584:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 958, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4594:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4584:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 962, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4605:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 961, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4601:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 960, "name": "int", "nodeType": "ElementaryTypeName", "src": "4601:3:3", "typeDescriptions": {} } }, "id": 963, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4601:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4584:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 965, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4612:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4584:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 969, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4623:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 968, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4619:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 967, "name": "int", "nodeType": "ElementaryTypeName", "src": "4619:3:3", "typeDescriptions": {} } }, "id": 970, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4619:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4584:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4574:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 973, "nodeType": "ExpressionStatement", "src": "4574:53:3" }, { "expression": { "id": 978, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 974, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4637:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 977, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 975, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4648:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3133", "id": 976, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4658:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_13_by_1", "typeString": "int_const 13" }, "value": "13" }, "src": "4648:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4637:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 979, "nodeType": "ExpressionStatement", "src": "4637:23:3" }, { "expression": { "id": 996, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 980, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4670:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 995, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 990, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 988, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 983, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 981, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4680:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 982, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4690:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4680:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 986, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4701:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 985, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4697:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 984, "name": "int", "nodeType": "ElementaryTypeName", "src": "4697:3:3", "typeDescriptions": {} } }, "id": 987, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4697:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4680:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 989, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4708:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4680:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 993, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4719:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 992, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4715:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 991, "name": "int", "nodeType": "ElementaryTypeName", "src": "4715:3:3", "typeDescriptions": {} } }, "id": 994, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4715:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4680:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4670:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 997, "nodeType": "ExpressionStatement", "src": "4670:53:3" }, { "expression": { "id": 1002, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 998, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4733:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1001, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 999, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4744:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3135", "id": 1000, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4754:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_15_by_1", "typeString": "int_const 15" }, "value": "15" }, "src": "4744:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4733:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1003, "nodeType": "ExpressionStatement", "src": "4733:23:3" }, { "expression": { "id": 1020, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1004, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4766:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1019, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1014, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1012, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1007, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1005, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4776:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1006, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4786:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4776:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1010, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4797:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1009, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4793:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1008, "name": "int", "nodeType": "ElementaryTypeName", "src": "4793:3:3", "typeDescriptions": {} } }, "id": 1011, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4793:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4776:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1013, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4804:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4776:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1017, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4815:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1016, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4811:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1015, "name": "int", "nodeType": "ElementaryTypeName", "src": "4811:3:3", "typeDescriptions": {} } }, "id": 1018, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4811:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4776:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4766:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1021, "nodeType": "ExpressionStatement", "src": "4766:53:3" }, { "expression": { "id": 1026, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1022, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4829:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1025, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1023, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4840:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3137", "id": 1024, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4850:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_17_by_1", "typeString": "int_const 17" }, "value": "17" }, "src": "4840:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4829:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1027, "nodeType": "ExpressionStatement", "src": "4829:23:3" }, { "expression": { "id": 1044, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1028, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4862:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1043, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1038, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1036, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1031, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1029, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4872:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1030, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4882:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4872:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1034, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4893:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1033, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4889:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1032, "name": "int", "nodeType": "ElementaryTypeName", "src": "4889:3:3", "typeDescriptions": {} } }, "id": 1035, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4889:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4872:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1037, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4900:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4872:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1041, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4911:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1040, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4907:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1039, "name": "int", "nodeType": "ElementaryTypeName", "src": "4907:3:3", "typeDescriptions": {} } }, "id": 1042, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4907:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4872:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4862:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1045, "nodeType": "ExpressionStatement", "src": "4862:53:3" }, { "expression": { "id": 1050, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1046, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "4925:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1049, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1047, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4936:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3139", "id": 1048, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4946:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_19_by_1", "typeString": "int_const 19" }, "value": "19" }, "src": "4936:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4925:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1051, "nodeType": "ExpressionStatement", "src": "4925:23:3" }, { "expression": { "id": 1068, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1052, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4958:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1067, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1062, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1060, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1055, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1053, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "4968:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1054, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4978:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4968:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1058, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "4989:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1057, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4985:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1056, "name": "int", "nodeType": "ElementaryTypeName", "src": "4985:3:3", "typeDescriptions": {} } }, "id": 1059, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4985:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4968:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1061, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "4996:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4968:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1065, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5007:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1064, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5003:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1063, "name": "int", "nodeType": "ElementaryTypeName", "src": "5003:3:3", "typeDescriptions": {} } }, "id": 1066, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5003:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4968:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4958:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1069, "nodeType": "ExpressionStatement", "src": "4958:53:3" }, { "expression": { "id": 1074, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1070, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "5021:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1073, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1071, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5032:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3231", "id": 1072, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5042:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_21_by_1", "typeString": "int_const 21" }, "value": "21" }, "src": "5032:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5021:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1075, "nodeType": "ExpressionStatement", "src": "5021:23:3" }, { "expression": { "id": 1092, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1076, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5054:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1091, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1086, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1084, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1079, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1077, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5064:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1078, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "5074:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5064:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1082, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5085:3:3", "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": "5081:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1080, "name": "int", "nodeType": "ElementaryTypeName", "src": "5081:3:3", "typeDescriptions": {} } }, "id": 1083, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5081:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5064:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1085, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "5092:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5064:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1089, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5103:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1088, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5099:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1087, "name": "int", "nodeType": "ElementaryTypeName", "src": "5099:3:3", "typeDescriptions": {} } }, "id": 1090, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5099:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5064:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5054:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1093, "nodeType": "ExpressionStatement", "src": "5054:53:3" }, { "expression": { "id": 1098, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1094, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "5117:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1097, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1095, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5128:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3233", "id": 1096, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5138:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_23_by_1", "typeString": "int_const 23" }, "value": "23" }, "src": "5128:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5117:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1099, "nodeType": "ExpressionStatement", "src": "5117:23:3" }, { "expression": { "id": 1116, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1100, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5150:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1115, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1110, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1108, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1103, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1101, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5160:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1102, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "5170:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5160:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1106, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5181:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1105, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5177:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1104, "name": "int", "nodeType": "ElementaryTypeName", "src": "5177:3:3", "typeDescriptions": {} } }, "id": 1107, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5177:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5160:25:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1109, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 810, "src": "5188:4:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5160:32:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1113, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5199:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1112, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5195:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1111, "name": "int", "nodeType": "ElementaryTypeName", "src": "5195:3:3", "typeDescriptions": {} } }, "id": 1114, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5195:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5160:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5150:53:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1117, "nodeType": "ExpressionStatement", "src": "5150:53:3" }, { "expression": { "id": 1122, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1118, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "5213:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1121, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1119, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 837, "src": "5224:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "hexValue": "3235", "id": 1120, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5234:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_25_by_1", "typeString": "int_const 25" }, "value": "25" }, "src": "5224:12:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5213:23:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1123, "nodeType": "ExpressionStatement", "src": "5213:23:3" }, { "expression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1144, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1140, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1135, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1129, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1124, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 772, "src": "5254:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "arguments": [ { "id": 1127, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5266:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1126, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5262:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1125, "name": "int", "nodeType": "ElementaryTypeName", "src": "5262:3:3", "typeDescriptions": {} } }, "id": 1128, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5262:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5254:16:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1130, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5253:18:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "arguments": [ { "id": 1133, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5278:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1132, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5274:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1131, "name": "int", "nodeType": "ElementaryTypeName", "src": "5274:3:3", "typeDescriptions": {} } }, "id": 1134, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5274:8:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5253:29:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "arguments": [ { "id": 1138, "name": "LOG2_E", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 364, "src": "5289:6:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1137, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5285:3:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": { "id": 1136, "name": "int", "nodeType": "ElementaryTypeName", "src": "5285:3:3", "typeDescriptions": {} } }, "id": 1139, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5285:11:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5253:43:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1143, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "hexValue": "32", "id": 1141, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5299:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1142, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 833, "src": "5303:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5299:11:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5253:57:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 764, "id": 1145, "nodeType": "Return", "src": "5246:64:3" } ] }, "documentation": { "id": 758, "nodeType": "StructuredDocumentation", "src": "3441:92:3", "text": "@dev Returns natural logarithm value of given x\n @param x x\n @return ln(x)" }, "functionSelector": "24d4e90a", "id": 1147, "implemented": true, "kind": "function", "modifiers": [], "name": "ln", "nodeType": "FunctionDefinition", "parameters": { "id": 761, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 760, "mutability": "mutable", "name": "x", "nodeType": "VariableDeclaration", "scope": 1147, "src": "3550:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 759, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3550:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "3549:8:3" }, "returnParameters": { "id": 764, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 763, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1147, "src": "3579:3:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 762, "name": "int", "nodeType": "ElementaryTypeName", "src": "3579:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "3578:5:3" }, "scope": 1553, "src": "3538:1779:3", "stateMutability": "pure", "virtual": false, "visibility": "public" }, { "body": { "id": 1225, "nodeType": "Block", "src": "5492:373:3", "statements": [ { "expression": { "id": 1158, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1155, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5502:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "id": 1157, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "5507:3:3", "subExpression": { "hexValue": "3634", "id": 1156, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5508:2:3", "typeDescriptions": { "typeIdentifier": "t_rational_64_by_1", "typeString": "int_const 64" }, "value": "64" }, "typeDescriptions": { "typeIdentifier": "t_rational_minus_64_by_1", "typeString": "int_const -64" } }, "src": "5502:8:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1159, "nodeType": "ExpressionStatement", "src": "5502:8:3" }, { "assignments": [ 1161 ], "declarations": [ { "constant": false, "id": 1161, "mutability": "mutable", "name": "hi", "nodeType": "VariableDeclaration", "scope": 1225, "src": "5520:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1160, "name": "int", "nodeType": "ElementaryTypeName", "src": "5520:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 1163, "initialValue": { "hexValue": "313933", "id": 1162, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5529:3:3", "typeDescriptions": { "typeIdentifier": "t_rational_193_by_1", "typeString": "int_const 193" }, "value": "193" }, "nodeType": "VariableDeclarationStatement", "src": "5520:12:3" }, { "assignments": [ 1165 ], "declarations": [ { "constant": false, "id": 1165, "mutability": "mutable", "name": "mid", "nodeType": "VariableDeclaration", "scope": 1225, "src": "5635:7:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1164, "name": "int", "nodeType": "ElementaryTypeName", "src": "5635:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "id": 1172, "initialValue": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1171, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1168, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1166, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1161, "src": "5646:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1167, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5651:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5646:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1169, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5645:9:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "hexValue": "31", "id": 1170, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5658:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5645:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "5635:24:3" }, { "body": { "id": 1223, "nodeType": "Block", "src": "5691:168:3", "statements": [ { "condition": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1204, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1191, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1181, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1179, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5709:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "hexValue": "30", "id": 1180, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5715:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "5709:7:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1190, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1188, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1182, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1150, "src": "5720:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "arguments": [ { "id": 1186, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "5730:4:3", "subExpression": { "id": 1185, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5731:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1184, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5725:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 1183, "name": "uint", "nodeType": "ElementaryTypeName", "src": "5725:4:3", "typeDescriptions": {} } }, "id": 1187, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5725:10:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5720:15:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 1189, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5738:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5720:21:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5709:32:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1203, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1194, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1192, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5745:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 1193, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5752:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "5745:8:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1202, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1200, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1195, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1150, "src": "5757:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "arguments": [ { "id": 1198, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5767:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1197, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5762:4:3", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": { "id": 1196, "name": "uint", "nodeType": "ElementaryTypeName", "src": "5762:4:3", "typeDescriptions": {} } }, "id": 1199, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5762:9:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5757:14:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 1201, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 358, "src": "5774:3:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5757:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5745:32:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5709:68:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "id": 1211, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1209, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5806:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "id": 1210, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5811:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5806:8:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1212, "nodeType": "ExpressionStatement", "src": "5806:8:3" }, "id": 1213, "nodeType": "IfStatement", "src": "5705:109:3", "trueBody": { "expression": { "id": 1207, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1205, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1161, "src": "5779:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "id": 1206, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5784:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5779:8:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1208, "nodeType": "ExpressionStatement", "src": "5779:8:3" } }, { "expression": { "id": 1221, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1214, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1165, "src": "5828:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1220, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1217, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1215, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1161, "src": "5835:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1216, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5840:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5835:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1218, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5834:9:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "hexValue": "31", "id": 1219, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5847:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5834:14:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5828:20:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1222, "nodeType": "ExpressionStatement", "src": "5828:20:3" } ] }, "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1178, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1175, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1173, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1153, "src": "5677:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "hexValue": "31", "id": 1174, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5682:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5677:6:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1176, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5676:8:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 1177, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1161, "src": "5687:2:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5676:13:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1224, "nodeType": "WhileStatement", "src": "5669:190:3" } ] }, "documentation": { "id": 1148, "nodeType": "StructuredDocumentation", "src": "5323:108:3", "text": "@dev Returns base 2 logarithm value of given x\n @param x x\n @return lo - logarithmic value" }, "functionSelector": "45b8bafc", "id": 1226, "implemented": true, "kind": "function", "modifiers": [], "name": "floorLog2", "nodeType": "FunctionDefinition", "parameters": { "id": 1151, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1150, "mutability": "mutable", "name": "x", "nodeType": "VariableDeclaration", "scope": 1226, "src": "5455:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1149, "name": "uint", "nodeType": "ElementaryTypeName", "src": "5455:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "5454:8:3" }, "returnParameters": { "id": 1154, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1153, "mutability": "mutable", "name": "lo", "nodeType": "VariableDeclaration", "scope": 1226, "src": "5484:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1152, "name": "int", "nodeType": "ElementaryTypeName", "src": "5484:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "5483:8:3" }, "scope": 1553, "src": "5436:429:3", "stateMutability": "pure", "virtual": false, "visibility": "public" }, { "body": { "id": 1273, "nodeType": "Block", "src": "6061:156:3", "statements": [ { "expression": { "arguments": [ { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1239, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "expression": { "id": 1236, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1230, "src": "6079:4:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1237, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "src": "6079:11:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "hexValue": "30", "id": 1238, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6093:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "6079:15:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1235, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "6071:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1240, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6071:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1241, "nodeType": "ExpressionStatement", "src": "6071:24:3" }, { "expression": { "id": 1247, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1242, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1233, "src": "6105:6:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "commonType": { "typeIdentifier": "t_rational_minus_57896044618658097711785492504343953926634992332820282019728792003956564819968_by_1", "typeString": "int_const -578...(70 digits omitted)...9968" }, "id": 1246, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "id": 1244, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "6114:2:3", "subExpression": { "hexValue": "32", "id": 1243, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6115:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "typeDescriptions": { "typeIdentifier": "t_rational_minus_2_by_1", "typeString": "int_const -2" } }, "nodeType": "BinaryOperation", "operator": "**", "rightExpression": { "hexValue": "323535", "id": 1245, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6120:3:3", "typeDescriptions": { "typeIdentifier": "t_rational_255_by_1", "typeString": "int_const 255" }, "value": "255" }, "src": "6114:9:3", "typeDescriptions": { "typeIdentifier": "t_rational_minus_57896044618658097711785492504343953926634992332820282019728792003956564819968_by_1", "typeString": "int_const -578...(70 digits omitted)...9968" } }, "src": "6105:18:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1248, "nodeType": "ExpressionStatement", "src": "6105:18:3" }, { "body": { "condition": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1264, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "baseExpression": { "id": 1260, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1230, "src": "6176:4:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1262, "indexExpression": { "id": 1261, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1250, "src": "6181:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "6176:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "id": 1263, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1233, "src": "6186:6:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "6176:16:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1271, "nodeType": "IfStatement", "src": "6172:38:3", "trueBody": { "expression": { "id": 1269, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 1265, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1233, "src": "6194:6:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "baseExpression": { "id": 1266, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1230, "src": "6203:4:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1268, "indexExpression": { "id": 1267, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1250, "src": "6208:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "6203:7:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "6194:16:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1270, "nodeType": "ExpressionStatement", "src": "6194:16:3" } }, "condition": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1256, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1253, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1250, "src": "6150:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "expression": { "id": 1254, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1230, "src": "6154:4:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1255, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "src": "6154:11:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6150:15:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1272, "initializationExpression": { "assignments": [ 1250 ], "declarations": [ { "constant": false, "id": 1250, "mutability": "mutable", "name": "i", "nodeType": "VariableDeclaration", "scope": 1272, "src": "6138:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1249, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6138:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "id": 1252, "initialValue": { "hexValue": "30", "id": 1251, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6147:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "nodeType": "VariableDeclarationStatement", "src": "6138:10:3" }, "loopExpression": { "expression": { "id": 1258, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "++", "prefix": false, "src": "6167:3:3", "subExpression": { "id": 1257, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1250, "src": "6167:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 1259, "nodeType": "ExpressionStatement", "src": "6167:3:3" }, "nodeType": "ForStatement", "src": "6133:77:3" } ] }, "documentation": { "id": 1227, "nodeType": "StructuredDocumentation", "src": "5871:120:3", "text": "@dev Returns maximum of an array\n @param nums Numbers to look through\n @return maxNum - Maximum number" }, "functionSelector": "ccc13814", "id": 1274, "implemented": true, "kind": "function", "modifiers": [], "name": "max", "nodeType": "FunctionDefinition", "parameters": { "id": 1231, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1230, "mutability": "mutable", "name": "nums", "nodeType": "VariableDeclaration", "scope": 1274, "src": "6009:17:3", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[]" }, "typeName": { "baseType": { "id": 1228, "name": "int", "nodeType": "ElementaryTypeName", "src": "6009:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1229, "nodeType": "ArrayTypeName", "src": "6009:5:3", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_storage_ptr", "typeString": "int256[]" } }, "visibility": "internal" } ], "src": "6008:19:3" }, "returnParameters": { "id": 1234, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1233, "mutability": "mutable", "name": "maxNum", "nodeType": "VariableDeclaration", "scope": 1274, "src": "6049:10:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1232, "name": "int", "nodeType": "ElementaryTypeName", "src": "6049:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "6048:12:3" }, "scope": 1553, "src": "5996:221:3", "stateMutability": "pure", "virtual": false, "visibility": "public" }, { "body": { "id": 1290, "nodeType": "Block", "src": "6452:34:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1288, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1286, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1284, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1277, "src": "6469:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1285, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1279, "src": "6473:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6469:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "id": 1287, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1277, "src": "6478:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6469:10:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1283, "id": 1289, "nodeType": "Return", "src": "6462:17:3" } ] }, "documentation": { "id": 1275, "nodeType": "StructuredDocumentation", "src": "6223:160:3", "text": "@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": 1291, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToAdd", "nodeType": "FunctionDefinition", "parameters": { "id": 1280, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1277, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1291, "src": "6407:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1276, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6407:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1279, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1291, "src": "6415:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1278, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6415:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "6406:16:3" }, "returnParameters": { "id": 1283, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1282, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1291, "src": "6446:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1281, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6446:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "6445:6:3" }, "scope": 1553, "src": "6388:98:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1305, "nodeType": "Block", "src": "6722:30:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1303, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1301, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1294, "src": "6739:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "id": 1302, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1296, "src": "6744:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6739:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1300, "id": 1304, "nodeType": "Return", "src": "6732:13:3" } ] }, "documentation": { "id": 1292, "nodeType": "StructuredDocumentation", "src": "6492:161:3", "text": "@dev Returns whether a subtraction operation causes an underflow\n @param a Minuend\n @param b Subtrahend\n @return Did no underflow occur?" }, "id": 1306, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToSub", "nodeType": "FunctionDefinition", "parameters": { "id": 1297, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1294, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1306, "src": "6677:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1293, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6677:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1296, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1306, "src": "6685:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1295, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6685:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "6676:16:3" }, "returnParameters": { "id": 1300, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1299, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1306, "src": "6716:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1298, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6716:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "6715:6:3" }, "scope": 1553, "src": "6658:94:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1328, "nodeType": "Block", "src": "6991:48:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1326, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1318, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1316, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1311, "src": "7008:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "hexValue": "30", "id": 1317, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "7013:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "7008:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1325, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1323, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1321, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1319, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1309, "src": "7018:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1320, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1311, "src": "7022:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7018:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 1322, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1311, "src": "7026:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7018:9:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "id": 1324, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1309, "src": "7031:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7018:14:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "7008:24:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1315, "id": 1327, "nodeType": "Return", "src": "7001:31:3" } ] }, "documentation": { "id": 1307, "nodeType": "StructuredDocumentation", "src": "6758:164:3", "text": "@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": 1329, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToMul", "nodeType": "FunctionDefinition", "parameters": { "id": 1312, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1309, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1329, "src": "6946:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1308, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6946:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1311, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1329, "src": "6954:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1310, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6954:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "6945:16:3" }, "returnParameters": { "id": 1315, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1314, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1329, "src": "6985:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1313, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6985:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "6984:6:3" }, "scope": 1553, "src": "6927:112:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1350, "nodeType": "Block", "src": "7233:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1341, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1332, "src": "7261:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "id": 1342, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1334, "src": "7264:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1340, "name": "safeToAdd", "nodeType": "Identifier", "overloadedDeclarations": [ 1291, 1428 ], "referencedDeclaration": 1291, "src": "7251:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1343, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7251:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1339, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "7243:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1344, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7243:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1345, "nodeType": "ExpressionStatement", "src": "7243:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1348, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1346, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1332, "src": "7284:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1347, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1334, "src": "7288:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7284:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1338, "id": 1349, "nodeType": "Return", "src": "7277:12:3" } ] }, "documentation": { "id": 1330, "nodeType": "StructuredDocumentation", "src": "7045:125:3", "text": "@dev Returns sum if no overflow occurred\n @param a First addend\n @param b Second addend\n @return Sum" }, "id": 1351, "implemented": true, "kind": "function", "modifiers": [], "name": "add", "nodeType": "FunctionDefinition", "parameters": { "id": 1335, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1332, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1351, "src": "7188:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1331, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7188:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1334, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1351, "src": "7196:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1333, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7196:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7187:16:3" }, "returnParameters": { "id": 1338, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1337, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1351, "src": "7227:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1336, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7227:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7226:6:3" }, "scope": 1553, "src": "7175:121:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1372, "nodeType": "Block", "src": "7496:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1363, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1354, "src": "7524:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "id": 1364, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1356, "src": "7527:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1362, "name": "safeToSub", "nodeType": "Identifier", "overloadedDeclarations": [ 1306, 1461 ], "referencedDeclaration": 1306, "src": "7514:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1365, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7514:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1361, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "7506:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1366, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7506:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1367, "nodeType": "ExpressionStatement", "src": "7506:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1370, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1368, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1354, "src": "7547:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "id": 1369, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1356, "src": "7551:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7547:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1360, "id": 1371, "nodeType": "Return", "src": "7540:12:3" } ] }, "documentation": { "id": 1352, "nodeType": "StructuredDocumentation", "src": "7302:131:3", "text": "@dev Returns difference if no overflow occurred\n @param a Minuend\n @param b Subtrahend\n @return Difference" }, "id": 1373, "implemented": true, "kind": "function", "modifiers": [], "name": "sub", "nodeType": "FunctionDefinition", "parameters": { "id": 1357, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1354, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1373, "src": "7451:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1353, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7451:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1356, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1373, "src": "7459:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1355, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7459:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7450:16:3" }, "returnParameters": { "id": 1360, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1359, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1373, "src": "7490:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1358, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7490:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7489:6:3" }, "scope": 1553, "src": "7438:121:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1394, "nodeType": "Block", "src": "7761:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1385, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1376, "src": "7789:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "id": 1386, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1378, "src": "7792:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1384, "name": "safeToMul", "nodeType": "Identifier", "overloadedDeclarations": [ 1329, 1486 ], "referencedDeclaration": 1329, "src": "7779:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1387, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7779:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1383, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "7771:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1388, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7771:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1389, "nodeType": "ExpressionStatement", "src": "7771:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1392, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1390, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1376, "src": "7812:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1391, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1378, "src": "7816:1:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7812:5:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1382, "id": 1393, "nodeType": "Return", "src": "7805:12:3" } ] }, "documentation": { "id": 1374, "nodeType": "StructuredDocumentation", "src": "7565:133:3", "text": "@dev Returns product if no overflow occurred\n @param a First factor\n @param b Second factor\n @return Product" }, "id": 1395, "implemented": true, "kind": "function", "modifiers": [], "name": "mul", "nodeType": "FunctionDefinition", "parameters": { "id": 1379, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1376, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1395, "src": "7716:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1375, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7716:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": false, "id": 1378, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1395, "src": "7724:6:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1377, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7724:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7715:16:3" }, "returnParameters": { "id": 1382, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1381, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1395, "src": "7755:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1380, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7755:4:3", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" } ], "src": "7754:6:3" }, "scope": 1553, "src": "7703:121:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1427, "nodeType": "Block", "src": "8057:70:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1425, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1413, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1407, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1405, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1400, "src": "8075:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 1406, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8080:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8075:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1412, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1410, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1408, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1398, "src": "8085:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1409, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1400, "src": "8089:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8085:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "id": 1411, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1398, "src": "8094:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8085:10:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8075:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1414, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8074:22:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1423, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1417, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1415, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1400, "src": "8101:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "hexValue": "30", "id": 1416, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8105:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8101:5:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1422, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1420, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1418, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1398, "src": "8110:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1419, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1400, "src": "8114:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8110:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "id": 1421, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1398, "src": "8118:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8110:9:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8101:18:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1424, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8100:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8074:46:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1404, "id": 1426, "nodeType": "Return", "src": "8067:53:3" } ] }, "documentation": { "id": 1396, "nodeType": "StructuredDocumentation", "src": "7830:160:3", "text": "@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": 1428, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToAdd", "nodeType": "FunctionDefinition", "parameters": { "id": 1401, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1398, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1428, "src": "8014:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1397, "name": "int", "nodeType": "ElementaryTypeName", "src": "8014:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1400, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1428, "src": "8021:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1399, "name": "int", "nodeType": "ElementaryTypeName", "src": "8021:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8013:14:3" }, "returnParameters": { "id": 1404, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1403, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1428, "src": "8051:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1402, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8051:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "8050:6:3" }, "scope": 1553, "src": "7995:132:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1460, "nodeType": "Block", "src": "8361:70:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1458, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1446, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1440, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1438, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "8379:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "hexValue": "30", "id": 1439, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8384:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8379:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1445, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1443, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1441, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1431, "src": "8389:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "id": 1442, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "8393:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8389:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "id": 1444, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1431, "src": "8398:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8389:10:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8379:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1447, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8378:22:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1456, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1450, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1448, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "8405:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "hexValue": "30", "id": 1449, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8409:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8405:5:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1455, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1453, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1451, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1431, "src": "8414:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "id": 1452, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "8418:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8414:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "id": 1454, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1431, "src": "8422:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8414:9:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8405:18:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1457, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8404:20:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8378:46:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1437, "id": 1459, "nodeType": "Return", "src": "8371:53:3" } ] }, "documentation": { "id": 1429, "nodeType": "StructuredDocumentation", "src": "8133:161:3", "text": "@dev Returns whether a subtraction operation causes an underflow\n @param a Minuend\n @param b Subtrahend\n @return Did no underflow occur?" }, "id": 1461, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToSub", "nodeType": "FunctionDefinition", "parameters": { "id": 1434, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1431, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1461, "src": "8318:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1430, "name": "int", "nodeType": "ElementaryTypeName", "src": "8318:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1433, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1461, "src": "8325:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1432, "name": "int", "nodeType": "ElementaryTypeName", "src": "8325:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8317:14:3" }, "returnParameters": { "id": 1437, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1436, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1461, "src": "8355:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1435, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8355:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "8354:6:3" }, "scope": 1553, "src": "8299:132:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1485, "nodeType": "Block", "src": "8668:52:3", "statements": [ { "expression": { "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1483, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1473, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1471, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1466, "src": "8686:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "hexValue": "30", "id": 1472, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8691:1:3", "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8686:6:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1474, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8685:8:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "components": [ { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1481, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1479, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1477, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1475, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1464, "src": "8698:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1476, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1466, "src": "8702:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8698:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "id": 1478, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1466, "src": "8706:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8698:9:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "id": 1480, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1464, "src": "8711:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8698:14:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1482, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8697:16:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8685:28:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1470, "id": 1484, "nodeType": "Return", "src": "8678:35:3" } ] }, "documentation": { "id": 1462, "nodeType": "StructuredDocumentation", "src": "8437:164:3", "text": "@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": 1486, "implemented": true, "kind": "function", "modifiers": [], "name": "safeToMul", "nodeType": "FunctionDefinition", "parameters": { "id": 1467, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1464, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1486, "src": "8625:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1463, "name": "int", "nodeType": "ElementaryTypeName", "src": "8625:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1466, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1486, "src": "8632:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1465, "name": "int", "nodeType": "ElementaryTypeName", "src": "8632:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8624:14:3" }, "returnParameters": { "id": 1470, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1469, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1486, "src": "8662:4:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1468, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8662:4:3", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "visibility": "internal" } ], "src": "8661:6:3" }, "scope": 1553, "src": "8606:114:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1507, "nodeType": "Block", "src": "8911:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1498, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1489, "src": "8939:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "id": 1499, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1491, "src": "8942:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1497, "name": "safeToAdd", "nodeType": "Identifier", "overloadedDeclarations": [ 1291, 1428 ], "referencedDeclaration": 1428, "src": "8929:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1500, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "8929:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1496, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "8921:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1501, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "8921:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1502, "nodeType": "ExpressionStatement", "src": "8921:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1505, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1503, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1489, "src": "8962:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "id": 1504, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1491, "src": "8966:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8962:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1495, "id": 1506, "nodeType": "Return", "src": "8955:12:3" } ] }, "documentation": { "id": 1487, "nodeType": "StructuredDocumentation", "src": "8726:125:3", "text": "@dev Returns sum if no overflow occurred\n @param a First addend\n @param b Second addend\n @return Sum" }, "id": 1508, "implemented": true, "kind": "function", "modifiers": [], "name": "add", "nodeType": "FunctionDefinition", "parameters": { "id": 1492, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1489, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1508, "src": "8869:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1488, "name": "int", "nodeType": "ElementaryTypeName", "src": "8869:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1491, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1508, "src": "8876:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1490, "name": "int", "nodeType": "ElementaryTypeName", "src": "8876:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8868:14:3" }, "returnParameters": { "id": 1495, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1494, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1508, "src": "8906:3:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1493, "name": "int", "nodeType": "ElementaryTypeName", "src": "8906:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "8905:5:3" }, "scope": 1553, "src": "8856:118:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1529, "nodeType": "Block", "src": "9171:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1520, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "9199:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "id": 1521, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1513, "src": "9202:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1519, "name": "safeToSub", "nodeType": "Identifier", "overloadedDeclarations": [ 1306, 1461 ], "referencedDeclaration": 1461, "src": "9189:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1522, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9189:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1518, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "9181:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1523, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9181:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1524, "nodeType": "ExpressionStatement", "src": "9181:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1527, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1525, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "9222:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "id": 1526, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1513, "src": "9226:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9222:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1517, "id": 1528, "nodeType": "Return", "src": "9215:12:3" } ] }, "documentation": { "id": 1509, "nodeType": "StructuredDocumentation", "src": "8980:131:3", "text": "@dev Returns difference if no overflow occurred\n @param a Minuend\n @param b Subtrahend\n @return Difference" }, "id": 1530, "implemented": true, "kind": "function", "modifiers": [], "name": "sub", "nodeType": "FunctionDefinition", "parameters": { "id": 1514, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1511, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1530, "src": "9129:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1510, "name": "int", "nodeType": "ElementaryTypeName", "src": "9129:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1513, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1530, "src": "9136:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1512, "name": "int", "nodeType": "ElementaryTypeName", "src": "9136:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "9128:14:3" }, "returnParameters": { "id": 1517, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1516, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1530, "src": "9166:3:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1515, "name": "int", "nodeType": "ElementaryTypeName", "src": "9166:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "9165:5:3" }, "scope": 1553, "src": "9116:118:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" }, { "body": { "id": 1551, "nodeType": "Block", "src": "9433:63:3", "statements": [ { "expression": { "arguments": [ { "arguments": [ { "id": 1542, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1533, "src": "9461:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "id": 1543, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1535, "src": "9464:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1541, "name": "safeToMul", "nodeType": "Identifier", "overloadedDeclarations": [ 1329, 1486 ], "referencedDeclaration": 1486, "src": "9451:9:3", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1544, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9451:15:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1540, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "9443:7:3", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1545, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9443:24:3", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1546, "nodeType": "ExpressionStatement", "src": "9443:24:3" }, { "expression": { "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1549, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 1547, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1533, "src": "9484:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "id": 1548, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1535, "src": "9488:1:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9484:5:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1539, "id": 1550, "nodeType": "Return", "src": "9477:12:3" } ] }, "documentation": { "id": 1531, "nodeType": "StructuredDocumentation", "src": "9240:133:3", "text": "@dev Returns product if no overflow occurred\n @param a First factor\n @param b Second factor\n @return Product" }, "id": 1552, "implemented": true, "kind": "function", "modifiers": [], "name": "mul", "nodeType": "FunctionDefinition", "parameters": { "id": 1536, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1533, "mutability": "mutable", "name": "a", "nodeType": "VariableDeclaration", "scope": 1552, "src": "9391:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1532, "name": "int", "nodeType": "ElementaryTypeName", "src": "9391:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" }, { "constant": false, "id": 1535, "mutability": "mutable", "name": "b", "nodeType": "VariableDeclaration", "scope": 1552, "src": "9398:5:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1534, "name": "int", "nodeType": "ElementaryTypeName", "src": "9398:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "9390:14:3" }, "returnParameters": { "id": 1539, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1538, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "scope": 1552, "src": "9428:3:3", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1537, "name": "int", "nodeType": "ElementaryTypeName", "src": "9428:3:3", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "visibility": "internal" } ], "src": "9427:5:3" }, "scope": 1553, "src": "9378:118:3", "stateMutability": "pure", "virtual": false, "visibility": "internal" } ], "scope": 1554, "src": "242:9256:3" } ], "src": "42:9457:3" }, "compiler": { "name": "solc", "version": "0.7.5+commit.eb77ed08.Emscripten.clang" }, "networks": {}, "schemaVersion": "3.3.1", "updatedAt": "2020-12-08T09:43:37.073Z", "devdoc": { "author": "Alan Lu - Stefan George - ", "kind": "dev", "methods": { "exp(int256)": { "details": "Returns natural exponential function value of given x", "params": { "x": "x" }, "returns": { "_0": "e**x" } }, "floorLog2(uint256)": { "details": "Returns base 2 logarithm value of given x", "params": { "x": "x" }, "returns": { "lo": "- logarithmic value" } }, "ln(uint256)": { "details": "Returns natural logarithm value of given x", "params": { "x": "x" }, "returns": { "_0": "ln(x)" } }, "max(int256[])": { "details": "Returns maximum of an array", "params": { "nums": "Numbers to look through" }, "returns": { "maxNum": "- Maximum number" } } }, "title": "Math library - Allows calculation of logarithmic and exponential functions", "version": 1 }, "userdoc": { "kind": "user", "methods": {}, "version": 1 } }