Deus.finance intends to let you trade real-world assets and derivatives, like stocks and commodities, directly on the Ethereum blockchain. The platform's "mirrored" assets are 1:1 pegged with its real-world equivalent and can be moved anywhere as an ERC20 token. Deus makes trading stocks on Uniswap and other decentralized exchanges a reality. The project is currently in beta.
For this audit, we analyzed Deus's two token contracts (DEUS - Governance; DEA - Stablecoin), and the platform's Automated Market Maker & Staking interfaces. Note that we have not completed a full audit of Deus's upcoming rStocks platform or the Sands of Time vault.
Notable security features of the contracts:
Users can successfully stake a series of single assets or Uniswap LP tokens to earn interest/fees as well as Deus's native stablecoin, DEA.
DEUS and DEA tokens minting ability has been granted to the StaticPriceSale contract to distribute tokens. The minterRoleAdmin control (which can enable other addresses to mint) has been transferred to the burn address (0x00000....)
Ownership - Some functions are protected and can only be called by the contract owner. Ownership of the contracts has been transfered to the platform's DAO contract.
Utilization of SafeMath (or similarily safe functions) across all contracts to prevent overflows.
Audit Findings Summary:
Currently, the project is in beta. Deus's stablecoin, DEA, has yet to be proven - the project intends to peg it's value to $1 USD in early 2021.
No security issues from outside attackers were identified.
Date: November 19th, 2020
We ran over 400,000 transactions interacting with this suite of contracts on a test blockchain to determine these results. Date: November 19th, 2020
Vulnerability Category
Notes
Result
Arbitrary Storage Write
N/A
PASS
Arbitrary Jump
N/A
PASS
Delegate Call to Untrusted Contract
N/A
PASS
Dependence on Predictable Variables
Governance functions rely upon the block.number envornmental variable. The risk associated with this is extremley low.
Warning
Deprecated Opcodes
N/A
PASS
Ether Thief
N/A
PASS
Exceptions
N/A
PASS
External Calls
N/A
PASS
Integer Over/Underflow
N/A
PASS
Multiple Sends
N/A
PASS
Suicide
N/A
PASS
State Change External Calls
N/A
PASS
Unchecked Retval
N/A
PASS
User Supplied Assertion
N/A
PASS
Critical Solidity Compiler
N/A
PASS
Overall Contract Safety
PASS
Function Graph
Inheritence Chart
Functions Overview
($) = payable function
# = non-constant function
Int = Internal
Ext = External
Pub = Public
+ DEUSToken (ERC20, AccessControl)
- [Pub] #
- modifiers: ERC20
- [Pub] mint #
- [Pub] burn #
- [Pub] setCurrentPointIndex #
//Be name khoda
//SPDX-License-Identifier: MIT
pragma solidity ^0.6.12;
import "support/AccessControl.sol";
import "support/ERC20.sol";
contract DEUSToken is ERC20, AccessControl{
uint256 public currentPointIndex = 0;
bytes32 public constant MINTER_ROLE = keccak256("MINTER_ROLE");
bytes32 public constant BURNER_ROLE = keccak256("BURNER_ROLE");
bytes32 public constant CURRENT_POINT_INDEX_SETTER_ROLE = keccak256("CURRENT_POINT_INDEX_SETTER_ROLE");
constructor() public ERC20("DEUS", "DEUS") {
_setupRole(DEFAULT_ADMIN_ROLE, msg.sender);
}
function mint(address to, uint256 amount) public {
// Check that the calling account has the minter role
require(hasRole(MINTER_ROLE, msg.sender), "Caller is not a minter");
_mint(to, amount);
}
function burn(address from, uint256 amount) public {
require(hasRole(BURNER_ROLE, msg.sender), "Caller is not a burner");
_burn(from, amount);
}
function setCurrentPointIndex(uint256 _currentPointIndex) public {
require(hasRole(CURRENT_POINT_INDEX_SETTER_ROLE, msg.sender), "Caller is not a currentPointIndex setter");
currentPointIndex = _currentPointIndex;
}
}
//Dar panah khoda
/* Apache License
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Copyright 2017 Bprotocol Foundation
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
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pragma solidity ^0.6.12;
/**
* @title Power function by Bancor
* @dev https://github.com/bancorprotocol/contracts
*
* Modified from the original by Slava Balasanov & Tarrence van As
*
* Split Power.sol out from BancorFormula.sol
* https://github.com/bancorprotocol/audits/blob/c9adc95e82fdfb3a0ada102514beb8ae00147f5d/solidity/audits/converter/BancorFormula.sol
*/
contract Power {
string public version = "0.3";
uint256 private constant ONE = 1;
uint8 private constant MIN_PRECISION = 32;
uint8 private constant MAX_PRECISION = 127;
/**
The values below depend on MAX_PRECISION. If you choose to change it:
Apply the same change in file 'PrintIntScalingFactors.py', run it and paste the results below.
*/
uint256 private constant FIXED_1 = 0x080000000000000000000000000000000;
uint256 private constant FIXED_2 = 0x100000000000000000000000000000000;
uint256 private constant MAX_NUM = 0x200000000000000000000000000000000;
/**
Auto-generated via 'PrintLn2ScalingFactors.py'
*/
uint256 private constant LN2_NUMERATOR = 0x3f80fe03f80fe03f80fe03f80fe03f8;
uint256 private constant LN2_DENOMINATOR = 0x5b9de1d10bf4103d647b0955897ba80;
/**
Auto-generated via 'PrintFunctionOptimalLog.py' and 'PrintFunctionOptimalExp.py'
*/
uint256 private constant OPT_LOG_MAX_VAL =
0x15bf0a8b1457695355fb8ac404e7a79e3;
uint256 private constant OPT_EXP_MAX_VAL =
0x800000000000000000000000000000000;
/**
The values below depend on MIN_PRECISION and MAX_PRECISION. If you choose to change either one of them:
Apply the same change in file 'PrintFunctionBancorFormula.py', run it and paste the results below.
*/
uint256[128] private maxExpArray;
constructor() public {
// maxExpArray[0] = 0x6bffffffffffffffffffffffffffffffff;
// maxExpArray[1] = 0x67ffffffffffffffffffffffffffffffff;
// maxExpArray[2] = 0x637fffffffffffffffffffffffffffffff;
// maxExpArray[3] = 0x5f6fffffffffffffffffffffffffffffff;
// maxExpArray[4] = 0x5b77ffffffffffffffffffffffffffffff;
// maxExpArray[5] = 0x57b3ffffffffffffffffffffffffffffff;
// maxExpArray[6] = 0x5419ffffffffffffffffffffffffffffff;
// maxExpArray[7] = 0x50a2ffffffffffffffffffffffffffffff;
// maxExpArray[8] = 0x4d517fffffffffffffffffffffffffffff;
// maxExpArray[9] = 0x4a233fffffffffffffffffffffffffffff;
// maxExpArray[10] = 0x47165fffffffffffffffffffffffffffff;
// maxExpArray[11] = 0x4429afffffffffffffffffffffffffffff;
// maxExpArray[12] = 0x415bc7ffffffffffffffffffffffffffff;
// maxExpArray[13] = 0x3eab73ffffffffffffffffffffffffffff;
// maxExpArray[14] = 0x3c1771ffffffffffffffffffffffffffff;
// maxExpArray[15] = 0x399e96ffffffffffffffffffffffffffff;
// maxExpArray[16] = 0x373fc47fffffffffffffffffffffffffff;
// maxExpArray[17] = 0x34f9e8ffffffffffffffffffffffffffff;
// maxExpArray[18] = 0x32cbfd5fffffffffffffffffffffffffff;
// maxExpArray[19] = 0x30b5057fffffffffffffffffffffffffff;
// maxExpArray[20] = 0x2eb40f9fffffffffffffffffffffffffff;
// maxExpArray[21] = 0x2cc8340fffffffffffffffffffffffffff;
// maxExpArray[22] = 0x2af09481ffffffffffffffffffffffffff;
// maxExpArray[23] = 0x292c5bddffffffffffffffffffffffffff;
// maxExpArray[24] = 0x277abdcdffffffffffffffffffffffffff;
// maxExpArray[25] = 0x25daf6657fffffffffffffffffffffffff;
// maxExpArray[26] = 0x244c49c65fffffffffffffffffffffffff;
// maxExpArray[27] = 0x22ce03cd5fffffffffffffffffffffffff;
// maxExpArray[28] = 0x215f77c047ffffffffffffffffffffffff;
// maxExpArray[29] = 0x1fffffffffffffffffffffffffffffffff;
// maxExpArray[30] = 0x1eaefdbdabffffffffffffffffffffffff;
// maxExpArray[31] = 0x1d6bd8b2ebffffffffffffffffffffffff;
maxExpArray[32] = 0x1c35fedd14ffffffffffffffffffffffff;
maxExpArray[33] = 0x1b0ce43b323fffffffffffffffffffffff;
maxExpArray[34] = 0x19f0028ec1ffffffffffffffffffffffff;
maxExpArray[35] = 0x18ded91f0e7fffffffffffffffffffffff;
maxExpArray[36] = 0x17d8ec7f0417ffffffffffffffffffffff;
maxExpArray[37] = 0x16ddc6556cdbffffffffffffffffffffff;
maxExpArray[38] = 0x15ecf52776a1ffffffffffffffffffffff;
maxExpArray[39] = 0x15060c256cb2ffffffffffffffffffffff;
maxExpArray[40] = 0x1428a2f98d72ffffffffffffffffffffff;
maxExpArray[41] = 0x13545598e5c23fffffffffffffffffffff;
maxExpArray[42] = 0x1288c4161ce1dfffffffffffffffffffff;
maxExpArray[43] = 0x11c592761c666fffffffffffffffffffff;
maxExpArray[44] = 0x110a688680a757ffffffffffffffffffff;
maxExpArray[45] = 0x1056f1b5bedf77ffffffffffffffffffff;
maxExpArray[46] = 0x0faadceceeff8bffffffffffffffffffff;
maxExpArray[47] = 0x0f05dc6b27edadffffffffffffffffffff;
maxExpArray[48] = 0x0e67a5a25da4107fffffffffffffffffff;
maxExpArray[49] = 0x0dcff115b14eedffffffffffffffffffff;
maxExpArray[50] = 0x0d3e7a392431239fffffffffffffffffff;
maxExpArray[51] = 0x0cb2ff529eb71e4fffffffffffffffffff;
maxExpArray[52] = 0x0c2d415c3db974afffffffffffffffffff;
maxExpArray[53] = 0x0bad03e7d883f69bffffffffffffffffff;
maxExpArray[54] = 0x0b320d03b2c343d5ffffffffffffffffff;
maxExpArray[55] = 0x0abc25204e02828dffffffffffffffffff;
maxExpArray[56] = 0x0a4b16f74ee4bb207fffffffffffffffff;
maxExpArray[57] = 0x09deaf736ac1f569ffffffffffffffffff;
maxExpArray[58] = 0x0976bd9952c7aa957fffffffffffffffff;
maxExpArray[59] = 0x09131271922eaa606fffffffffffffffff;
maxExpArray[60] = 0x08b380f3558668c46fffffffffffffffff;
maxExpArray[61] = 0x0857ddf0117efa215bffffffffffffffff;
maxExpArray[62] = 0x07ffffffffffffffffffffffffffffffff;
maxExpArray[63] = 0x07abbf6f6abb9d087fffffffffffffffff;
maxExpArray[64] = 0x075af62cbac95f7dfa7fffffffffffffff;
maxExpArray[65] = 0x070d7fb7452e187ac13fffffffffffffff;
maxExpArray[66] = 0x06c3390ecc8af379295fffffffffffffff;
maxExpArray[67] = 0x067c00a3b07ffc01fd6fffffffffffffff;
maxExpArray[68] = 0x0637b647c39cbb9d3d27ffffffffffffff;
maxExpArray[69] = 0x05f63b1fc104dbd39587ffffffffffffff;
maxExpArray[70] = 0x05b771955b36e12f7235ffffffffffffff;
maxExpArray[71] = 0x057b3d49dda84556d6f6ffffffffffffff;
maxExpArray[72] = 0x054183095b2c8ececf30ffffffffffffff;
maxExpArray[73] = 0x050a28be635ca2b888f77fffffffffffff;
maxExpArray[74] = 0x04d5156639708c9db33c3fffffffffffff;
maxExpArray[75] = 0x04a23105873875bd52dfdfffffffffffff;
maxExpArray[76] = 0x0471649d87199aa990756fffffffffffff;
maxExpArray[77] = 0x04429a21a029d4c1457cfbffffffffffff;
maxExpArray[78] = 0x0415bc6d6fb7dd71af2cb3ffffffffffff;
maxExpArray[79] = 0x03eab73b3bbfe282243ce1ffffffffffff;
maxExpArray[80] = 0x03c1771ac9fb6b4c18e229ffffffffffff;
maxExpArray[81] = 0x0399e96897690418f785257fffffffffff;
maxExpArray[82] = 0x0373fc456c53bb779bf0ea9fffffffffff;
maxExpArray[83] = 0x034f9e8e490c48e67e6ab8bfffffffffff;
maxExpArray[84] = 0x032cbfd4a7adc790560b3337ffffffffff;
maxExpArray[85] = 0x030b50570f6e5d2acca94613ffffffffff;
maxExpArray[86] = 0x02eb40f9f620fda6b56c2861ffffffffff;
maxExpArray[87] = 0x02cc8340ecb0d0f520a6af58ffffffffff;
maxExpArray[88] = 0x02af09481380a0a35cf1ba02ffffffffff;
maxExpArray[89] = 0x0292c5bdd3b92ec810287b1b3fffffffff;
maxExpArray[90] = 0x0277abdcdab07d5a77ac6d6b9fffffffff;
maxExpArray[91] = 0x025daf6654b1eaa55fd64df5efffffffff;
maxExpArray[92] = 0x0244c49c648baa98192dce88b7ffffffff;
maxExpArray[93] = 0x022ce03cd5619a311b2471268bffffffff;
maxExpArray[94] = 0x0215f77c045fbe885654a44a0fffffffff;
maxExpArray[95] = 0x01ffffffffffffffffffffffffffffffff;
maxExpArray[96] = 0x01eaefdbdaaee7421fc4d3ede5ffffffff;
maxExpArray[97] = 0x01d6bd8b2eb257df7e8ca57b09bfffffff;
maxExpArray[98] = 0x01c35fedd14b861eb0443f7f133fffffff;
maxExpArray[99] = 0x01b0ce43b322bcde4a56e8ada5afffffff;
maxExpArray[100] = 0x019f0028ec1fff007f5a195a39dfffffff;
maxExpArray[101] = 0x018ded91f0e72ee74f49b15ba527ffffff;
maxExpArray[102] = 0x017d8ec7f04136f4e5615fd41a63ffffff;
maxExpArray[103] = 0x016ddc6556cdb84bdc8d12d22e6fffffff;
maxExpArray[104] = 0x015ecf52776a1155b5bd8395814f7fffff;
maxExpArray[105] = 0x015060c256cb23b3b3cc3754cf40ffffff;
maxExpArray[106] = 0x01428a2f98d728ae223ddab715be3fffff;
maxExpArray[107] = 0x013545598e5c23276ccf0ede68034fffff;
maxExpArray[108] = 0x01288c4161ce1d6f54b7f61081194fffff;
maxExpArray[109] = 0x011c592761c666aa641d5a01a40f17ffff;
maxExpArray[110] = 0x0110a688680a7530515f3e6e6cfdcdffff;
maxExpArray[111] = 0x01056f1b5bedf75c6bcb2ce8aed428ffff;
maxExpArray[112] = 0x00faadceceeff8a0890f3875f008277fff;
maxExpArray[113] = 0x00f05dc6b27edad306388a600f6ba0bfff;
maxExpArray[114] = 0x00e67a5a25da41063de1495d5b18cdbfff;
maxExpArray[115] = 0x00dcff115b14eedde6fc3aa5353f2e4fff;
maxExpArray[116] = 0x00d3e7a3924312399f9aae2e0f868f8fff;
maxExpArray[117] = 0x00cb2ff529eb71e41582cccd5a1ee26fff;
maxExpArray[118] = 0x00c2d415c3db974ab32a51840c0b67edff;
maxExpArray[119] = 0x00bad03e7d883f69ad5b0a186184e06bff;
maxExpArray[120] = 0x00b320d03b2c343d4829abd6075f0cc5ff;
maxExpArray[121] = 0x00abc25204e02828d73c6e80bcdb1a95bf;
maxExpArray[122] = 0x00a4b16f74ee4bb2040a1ec6c15fbbf2df;
maxExpArray[123] = 0x009deaf736ac1f569deb1b5ae3f36c130f;
maxExpArray[124] = 0x00976bd9952c7aa957f5937d790ef65037;
maxExpArray[125] = 0x009131271922eaa6064b73a22d0bd4f2bf;
maxExpArray[126] = 0x008b380f3558668c46c91c49a2f8e967b9;
maxExpArray[127] = 0x00857ddf0117efa215952912839f6473e6;
}
/**
General Description:
Determine a value of precision.
Calculate an integer approximation of (_baseN / _baseD) ^ (_expN / _expD) * 2 ^ precision.
Return the result along with the precision used.
Detailed Description:
Instead of calculating "base ^ exp", we calculate "e ^ (log(base) * exp)".
The value of "log(base)" is represented with an integer slightly smaller than "log(base) * 2 ^ precision".
The larger "precision" is, the more accurately this value represents the real value.
However, the larger "precision" is, the more bits are required in order to store this value.
And the exponentiation function, which takes "x" and calculates "e ^ x", is limited to a maximum exponent (maximum value of "x").
This maximum exponent depends on the "precision" used, and it is given by "maxExpArray[precision] >> (MAX_PRECISION - precision)".
Hence we need to determine the highest precision which can be used for the given input, before calling the exponentiation function.
This allows us to compute "base ^ exp" with maximum accuracy and without exceeding 256 bits in any of the intermediate computations.
This functions assumes that "_expN < 2 ^ 256 / log(MAX_NUM - 1)", otherwise the multiplication should be replaced with a "safeMul".
*/
function power(
uint256 _baseN,
uint256 _baseD,
uint32 _expN,
uint32 _expD
) internal view returns (uint256, uint8)
{
assert(_baseN < MAX_NUM);
require(_baseN >= _baseD, "Bases < 1 are not supported.");
uint256 baseLog;
uint256 base = _baseN * FIXED_1 / _baseD;
if (base < OPT_LOG_MAX_VAL) {
baseLog = optimalLog(base);
} else {
baseLog = generalLog(base);
}
uint256 baseLogTimesExp = baseLog * _expN / _expD;
if (baseLogTimesExp < OPT_EXP_MAX_VAL) {
return (optimalExp(baseLogTimesExp), MAX_PRECISION);
} else {
uint8 precision = findPositionInMaxExpArray(baseLogTimesExp);
return (generalExp(baseLogTimesExp >> (MAX_PRECISION - precision), precision), precision);
}
}
/**
Compute log(x / FIXED_1) * FIXED_1.
This functions assumes that "x >= FIXED_1", because the output would be negative otherwise.
*/
function generalLog(uint256 _x) internal pure returns (uint256) {
uint256 res = 0;
uint256 x = _x;
// If x >= 2, then we compute the integer part of log2(x), which is larger than 0.
if (x >= FIXED_2) {
uint8 count = floorLog2(x / FIXED_1);
x >>= count; // now x < 2
res = count * FIXED_1;
}
// If x > 1, then we compute the fraction part of log2(x), which is larger than 0.
if (x > FIXED_1) {
for (uint8 i = MAX_PRECISION; i > 0; --i) {
x = (x * x) / FIXED_1; // now 1 < x < 4
if (x >= FIXED_2) {
x >>= 1; // now 1 < x < 2
res += ONE << (i - 1);
}
}
}
return res * LN2_NUMERATOR / LN2_DENOMINATOR;
}
/**
Compute the largest integer smaller than or equal to the binary logarithm of the input.
*/
function floorLog2(uint256 _n) internal pure returns (uint8) {
uint8 res = 0;
uint256 n = _n;
if (n < 256) {
// At most 8 iterations
while (n > 1) {
n >>= 1;
res += 1;
}
} else {
// Exactly 8 iterations
for (uint8 s = 128; s > 0; s >>= 1) {
if (n >= (ONE << s)) {
n >>= s;
res |= s;
}
}
}
return res;
}
/**
The global "maxExpArray" is sorted in descending order, and therefore the following statements are equivalent:
- This function finds the position of [the smallest value in "maxExpArray" larger than or equal to "x"]
- This function finds the highest position of [a value in "maxExpArray" larger than or equal to "x"]
*/
function findPositionInMaxExpArray(uint256 _x)
internal view returns (uint8)
{
uint8 lo = MIN_PRECISION;
uint8 hi = MAX_PRECISION;
while (lo + 1 < hi) {
uint8 mid = (lo + hi) / 2;
if (maxExpArray[mid] >= _x)
lo = mid;
else
hi = mid;
}
if (maxExpArray[hi] >= _x)
return hi;
if (maxExpArray[lo] >= _x)
return lo;
assert(false);
return 0;
}
/* solium-disable */
/**
This function can be auto-generated by the script 'PrintFunctionGeneralExp.py'.
It approximates "e ^ x" via maclaurin summation: "(x^0)/0! + (x^1)/1! + ... + (x^n)/n!".
It returns "e ^ (x / 2 ^ precision) * 2 ^ precision", that is, the result is upshifted for accuracy.
The global "maxExpArray" maps each "precision" to "((maximumExponent + 1) << (MAX_PRECISION - precision)) - 1".
The maximum permitted value for "x" is therefore given by "maxExpArray[precision] >> (MAX_PRECISION - precision)".
*/
function generalExp(uint256 _x, uint8 _precision) internal pure returns (uint256) {
uint256 xi = _x;
uint256 res = 0;
xi = (xi * _x) >> _precision; res += xi * 0x3442c4e6074a82f1797f72ac0000000; // add x^02 * (33! / 02!)
xi = (xi * _x) >> _precision; res += xi * 0x116b96f757c380fb287fd0e40000000; // add x^03 * (33! / 03!)
xi = (xi * _x) >> _precision; res += xi * 0x045ae5bdd5f0e03eca1ff4390000000; // add x^04 * (33! / 04!)
xi = (xi * _x) >> _precision; res += xi * 0x00defabf91302cd95b9ffda50000000; // add x^05 * (33! / 05!)
xi = (xi * _x) >> _precision; res += xi * 0x002529ca9832b22439efff9b8000000; // add x^06 * (33! / 06!)
xi = (xi * _x) >> _precision; res += xi * 0x00054f1cf12bd04e516b6da88000000; // add x^07 * (33! / 07!)
xi = (xi * _x) >> _precision; res += xi * 0x0000a9e39e257a09ca2d6db51000000; // add x^08 * (33! / 08!)
xi = (xi * _x) >> _precision; res += xi * 0x000012e066e7b839fa050c309000000; // add x^09 * (33! / 09!)
xi = (xi * _x) >> _precision; res += xi * 0x000001e33d7d926c329a1ad1a800000; // add x^10 * (33! / 10!)
xi = (xi * _x) >> _precision; res += xi * 0x0000002bee513bdb4a6b19b5f800000; // add x^11 * (33! / 11!)
xi = (xi * _x) >> _precision; res += xi * 0x00000003a9316fa79b88eccf2a00000; // add x^12 * (33! / 12!)
xi = (xi * _x) >> _precision; res += xi * 0x0000000048177ebe1fa812375200000; // add x^13 * (33! / 13!)
xi = (xi * _x) >> _precision; res += xi * 0x0000000005263fe90242dcbacf00000; // add x^14 * (33! / 14!)
xi = (xi * _x) >> _precision; res += xi * 0x000000000057e22099c030d94100000; // add x^15 * (33! / 15!)
xi = (xi * _x) >> _precision; res += xi * 0x0000000000057e22099c030d9410000; // add x^16 * (33! / 16!)
xi = (xi * _x) >> _precision; res += xi * 0x00000000000052b6b54569976310000; // add x^17 * (33! / 17!)
xi = (xi * _x) >> _precision; res += xi * 0x00000000000004985f67696bf748000; // add x^18 * (33! / 18!)
xi = (xi * _x) >> _precision; res += xi * 0x000000000000003dea12ea99e498000; // add x^19 * (33! / 19!)
xi = (xi * _x) >> _precision; res += xi * 0x00000000000000031880f2214b6e000; // add x^20 * (33! / 20!)
xi = (xi * _x) >> _precision; res += xi * 0x000000000000000025bcff56eb36000; // add x^21 * (33! / 21!)
xi = (xi * _x) >> _precision; res += xi * 0x000000000000000001b722e10ab1000; // add x^22 * (33! / 22!)
xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000001317c70077000; // add x^23 * (33! / 23!)
xi = (xi * _x) >> _precision; res += xi * 0x00000000000000000000cba84aafa00; // add x^24 * (33! / 24!)
xi = (xi * _x) >> _precision; res += xi * 0x00000000000000000000082573a0a00; // add x^25 * (33! / 25!)
xi = (xi * _x) >> _precision; res += xi * 0x00000000000000000000005035ad900; // add x^26 * (33! / 26!)
xi = (xi * _x) >> _precision; res += xi * 0x000000000000000000000002f881b00; // add x^27 * (33! / 27!)
xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000001b29340; // add x^28 * (33! / 28!)
xi = (xi * _x) >> _precision; res += xi * 0x00000000000000000000000000efc40; // add x^29 * (33! / 29!)
xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000000007fe0; // add x^30 * (33! / 30!)
xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000000000420; // add x^31 * (33! / 31!)
xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000000000021; // add x^32 * (33! / 32!)
xi = (xi * _x) >> _precision; res += xi * 0x0000000000000000000000000000001; // add x^33 * (33! / 33!)
return res / 0x688589cc0e9505e2f2fee5580000000 + _x + (ONE << _precision); // divide by 33! and then add x^1 / 1! + x^0 / 0!
}
/**
Return log(x / FIXED_1) * FIXED_1
Input range: FIXED_1 <= x <= LOG_EXP_MAX_VAL - 1
Auto-generated via 'PrintFunctionOptimalLog.py'
*/
function optimalLog(uint256 x) internal pure returns (uint256) {
uint256 res = 0;
uint256 y;
uint256 z;
uint256 w;
if (x >= 0xd3094c70f034de4b96ff7d5b6f99fcd8) {res += 0x40000000000000000000000000000000; x = x * FIXED_1 / 0xd3094c70f034de4b96ff7d5b6f99fcd8;}
if (x >= 0xa45af1e1f40c333b3de1db4dd55f29a7) {res += 0x20000000000000000000000000000000; x = x * FIXED_1 / 0xa45af1e1f40c333b3de1db4dd55f29a7;}
if (x >= 0x910b022db7ae67ce76b441c27035c6a1) {res += 0x10000000000000000000000000000000; x = x * FIXED_1 / 0x910b022db7ae67ce76b441c27035c6a1;}
if (x >= 0x88415abbe9a76bead8d00cf112e4d4a8) {res += 0x08000000000000000000000000000000; x = x * FIXED_1 / 0x88415abbe9a76bead8d00cf112e4d4a8;}
if (x >= 0x84102b00893f64c705e841d5d4064bd3) {res += 0x04000000000000000000000000000000; x = x * FIXED_1 / 0x84102b00893f64c705e841d5d4064bd3;}
if (x >= 0x8204055aaef1c8bd5c3259f4822735a2) {res += 0x02000000000000000000000000000000; x = x * FIXED_1 / 0x8204055aaef1c8bd5c3259f4822735a2;}
if (x >= 0x810100ab00222d861931c15e39b44e99) {res += 0x01000000000000000000000000000000; x = x * FIXED_1 / 0x810100ab00222d861931c15e39b44e99;}
if (x >= 0x808040155aabbbe9451521693554f733) {res += 0x00800000000000000000000000000000; x = x * FIXED_1 / 0x808040155aabbbe9451521693554f733;}
z = y = x - FIXED_1;
w = y * y / FIXED_1;
res += z * (0x100000000000000000000000000000000 - y) / 0x100000000000000000000000000000000; z = z * w / FIXED_1;
res += z * (0x0aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa - y) / 0x200000000000000000000000000000000; z = z * w / FIXED_1;
res += z * (0x099999999999999999999999999999999 - y) / 0x300000000000000000000000000000000; z = z * w / FIXED_1;
res += z * (0x092492492492492492492492492492492 - y) / 0x400000000000000000000000000000000; z = z * w / FIXED_1;
res += z * (0x08e38e38e38e38e38e38e38e38e38e38e - y) / 0x500000000000000000000000000000000; z = z * w / FIXED_1;
res += z * (0x08ba2e8ba2e8ba2e8ba2e8ba2e8ba2e8b - y) / 0x600000000000000000000000000000000; z = z * w / FIXED_1;
res += z * (0x089d89d89d89d89d89d89d89d89d89d89 - y) / 0x700000000000000000000000000000000; z = z * w / FIXED_1;
res += z * (0x088888888888888888888888888888888 - y) / 0x800000000000000000000000000000000;
return res;
}
/**
Return e ^ (x / FIXED_1) * FIXED_1
Input range: 0 <= x <= OPT_EXP_MAX_VAL - 1
Auto-generated via 'PrintFunctionOptimalExp.py'
*/
function optimalExp(uint256 x) internal pure returns (uint256) {
uint256 res = 0;
uint256 y;
uint256 z;
z = y = x % 0x10000000000000000000000000000000;
z = z * y / FIXED_1; res += z * 0x10e1b3be415a0000; // add y^02 * (20! / 02!)
z = z * y / FIXED_1; res += z * 0x05a0913f6b1e0000; // add y^03 * (20! / 03!)
z = z * y / FIXED_1; res += z * 0x0168244fdac78000; // add y^04 * (20! / 04!)
z = z * y / FIXED_1; res += z * 0x004807432bc18000; // add y^05 * (20! / 05!)
z = z * y / FIXED_1; res += z * 0x000c0135dca04000; // add y^06 * (20! / 06!)
z = z * y / FIXED_1; res += z * 0x0001b707b1cdc000; // add y^07 * (20! / 07!)
z = z * y / FIXED_1; res += z * 0x000036e0f639b800; // add y^08 * (20! / 08!)
z = z * y / FIXED_1; res += z * 0x00000618fee9f800; // add y^09 * (20! / 09!)
z = z * y / FIXED_1; res += z * 0x0000009c197dcc00; // add y^10 * (20! / 10!)
z = z * y / FIXED_1; res += z * 0x0000000e30dce400; // add y^11 * (20! / 11!)
z = z * y / FIXED_1; res += z * 0x000000012ebd1300; // add y^12 * (20! / 12!)
z = z * y / FIXED_1; res += z * 0x0000000017499f00; // add y^13 * (20! / 13!)
z = z * y / FIXED_1; res += z * 0x0000000001a9d480; // add y^14 * (20! / 14!)
z = z * y / FIXED_1; res += z * 0x00000000001c6380; // add y^15 * (20! / 15!)
z = z * y / FIXED_1; res += z * 0x000000000001c638; // add y^16 * (20! / 16!)
z = z * y / FIXED_1; res += z * 0x0000000000001ab8; // add y^17 * (20! / 17!)
z = z * y / FIXED_1; res += z * 0x000000000000017c; // add y^18 * (20! / 18!)
z = z * y / FIXED_1; res += z * 0x0000000000000014; // add y^19 * (20! / 19!)
z = z * y / FIXED_1; res += z * 0x0000000000000001; // add y^20 * (20! / 20!)
res = res / 0x21c3677c82b40000 + y + FIXED_1; // divide by 20! and then add y^1 / 1! + y^0 / 0!
if ((x & 0x010000000000000000000000000000000) != 0) res = res * 0x1c3d6a24ed82218787d624d3e5eba95f9 / 0x18ebef9eac820ae8682b9793ac6d1e776;
if ((x & 0x020000000000000000000000000000000) != 0) res = res * 0x18ebef9eac820ae8682b9793ac6d1e778 / 0x1368b2fc6f9609fe7aceb46aa619baed4;
if ((x & 0x040000000000000000000000000000000) != 0) res = res * 0x1368b2fc6f9609fe7aceb46aa619baed5 / 0x0bc5ab1b16779be3575bd8f0520a9f21f;
if ((x & 0x080000000000000000000000000000000) != 0) res = res * 0x0bc5ab1b16779be3575bd8f0520a9f21e / 0x0454aaa8efe072e7f6ddbab84b40a55c9;
if ((x & 0x100000000000000000000000000000000) != 0) res = res * 0x0454aaa8efe072e7f6ddbab84b40a55c5 / 0x00960aadc109e7a3bf4578099615711ea;
if ((x & 0x200000000000000000000000000000000) != 0) res = res * 0x00960aadc109e7a3bf4578099615711d7 / 0x0002bf84208204f5977f9a8cf01fdce3d;
if ((x & 0x400000000000000000000000000000000) != 0) res = res * 0x0002bf84208204f5977f9a8cf01fdc307 / 0x0000003c6ab775dd0b95b4cbee7e65d11;
return res;
}
/* solium-enable */
}
//Be name khoda
//SPDX-License-Identifier: MIT
pragma solidity ^0.6.12;
import "support/Ownable.sol";
import "support/SafeMath.sol";
interface IUniswapV2Pair {
function getReserves() external view returns (uint112 reserve0, uint112 reserve1, uint32 blockTimestampLast);
}
interface DEUSToken {
function mint(address to, uint256 amount) external;
}
contract StaticPriceSale is Ownable{
using SafeMath for uint112;
using SafeMath for uint256;
uint256 public endBlock;
// UniswapV2 ETH/USDT pool address
IUniswapV2Pair public pair;
// DEUSToken contract address
DEUSToken public deusToken;
function setEndBlock(uint256 _endBlock) public onlyOwner{
endBlock = _endBlock;
}
constructor(uint256 _endBlock, address _deusToken, address _pair) public {
endBlock = _endBlock;
deusToken = DEUSToken(_deusToken);
pair = IUniswapV2Pair(_pair);
}
// price of deus in Eth based on uniswap v2 ETH/USDT pool
function price() public view returns (uint256) {
(uint112 reserve0, uint112 reserve1, ) = pair.getReserves();
// (1/0.63)*10**12 == 1587301587301
// reserve1(USDT) has 6 decimals and reserve0(ETH) has 18 decimals, so 18-6 = 12
return reserve1.mul(1587301587301).div(reserve0);
}
function buy() public payable{
require(block.number <= endBlock, 'static price sale has been finished');
uint256 tokenAmount = msg.value.mul(price());
deusToken.mint(msg.sender, tokenAmount);
}
function withdraw(address payable to, uint256 amount) public onlyOwner{
to.transfer(amount);
}
}
//Dar panah khoda