Created
February 16, 2021 06:18
-
-
Save TheRyanMiller/853006b956b1a68903a22f3a82acb9d0 to your computer and use it in GitHub Desktop.
Created using remix-ide: Realtime Ethereum Contract Compiler and Runtime. Load this file by pasting this gists URL or ID at https://remix.ethereum.org/#version=soljson-v0.6.12+commit.27d51765.js&optimize=false&runs=200&gist=
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
// SPDX-License-Identifier: MIT | |
pragma solidity ^0.6.0; | |
/** | |
* @dev Wrappers over Solidity's arithmetic operations with added overflow | |
* checks. | |
* | |
* Arithmetic operations in Solidity wrap on overflow. This can easily result | |
* in bugs, because programmers usually assume that an overflow raises an | |
* error, which is the standard behavior in high level programming languages. | |
* `SafeMath` restores this intuition by reverting the transaction when an | |
* operation overflows. | |
* | |
* Using this library instead of the unchecked operations eliminates an entire | |
* class of bugs, so it's recommended to use it always. | |
*/ | |
library SafeMath { | |
/** | |
* @dev Returns the addition of two unsigned integers, reverting on | |
* overflow. | |
* | |
* Counterpart to Solidity's `+` operator. | |
* | |
* Requirements: | |
* | |
* - Addition cannot overflow. | |
*/ | |
function add(uint256 a, uint256 b) internal pure returns (uint256) { | |
uint256 c = a + b; | |
require(c >= a, "SafeMath: addition overflow"); | |
return c; | |
} | |
/** | |
* @dev Returns the subtraction of two unsigned integers, reverting on | |
* overflow (when the result is negative). | |
* | |
* Counterpart to Solidity's `-` operator. | |
* | |
* Requirements: | |
* | |
* - Subtraction cannot overflow. | |
*/ | |
function sub(uint256 a, uint256 b) internal pure returns (uint256) { | |
return sub(a, b, "SafeMath: subtraction overflow"); | |
} | |
/** | |
* @dev Returns the subtraction of two unsigned integers, reverting with custom message on | |
* overflow (when the result is negative). | |
* | |
* Counterpart to Solidity's `-` operator. | |
* | |
* Requirements: | |
* | |
* - Subtraction cannot overflow. | |
*/ | |
function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) { | |
require(b <= a, errorMessage); | |
uint256 c = a - b; | |
return c; | |
} | |
/** | |
* @dev Returns the multiplication of two unsigned integers, reverting on | |
* overflow. | |
* | |
* Counterpart to Solidity's `*` operator. | |
* | |
* Requirements: | |
* | |
* - Multiplication cannot overflow. | |
*/ | |
function mul(uint256 a, uint256 b) internal pure returns (uint256) { | |
// Gas optimization: this is cheaper than requiring 'a' not being zero, but the | |
// benefit is lost if 'b' is also tested. | |
// See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522 | |
if (a == 0) { | |
return 0; | |
} | |
uint256 c = a * b; | |
require(c / a == b, "SafeMath: multiplication overflow"); | |
return c; | |
} | |
/** | |
* @dev Returns the integer division of two unsigned integers. Reverts on | |
* division by zero. The result is rounded towards zero. | |
* | |
* Counterpart to Solidity's `/` operator. Note: this function uses a | |
* `revert` opcode (which leaves remaining gas untouched) while Solidity | |
* uses an invalid opcode to revert (consuming all remaining gas). | |
* | |
* Requirements: | |
* | |
* - The divisor cannot be zero. | |
*/ | |
function div(uint256 a, uint256 b) internal pure returns (uint256) { | |
return div(a, b, "SafeMath: division by zero"); | |
} | |
/** | |
* @dev Returns the integer division of two unsigned integers. Reverts with custom message on | |
* division by zero. The result is rounded towards zero. | |
* | |
* Counterpart to Solidity's `/` operator. Note: this function uses a | |
* `revert` opcode (which leaves remaining gas untouched) while Solidity | |
* uses an invalid opcode to revert (consuming all remaining gas). | |
* | |
* Requirements: | |
* | |
* - The divisor cannot be zero. | |
*/ | |
function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) { | |
require(b > 0, errorMessage); | |
uint256 c = a / b; | |
// assert(a == b * c + a % b); // There is no case in which this doesn't hold | |
return c; | |
} | |
/** | |
* @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo), | |
* Reverts when dividing by zero. | |
* | |
* Counterpart to Solidity's `%` operator. This function uses a `revert` | |
* opcode (which leaves remaining gas untouched) while Solidity uses an | |
* invalid opcode to revert (consuming all remaining gas). | |
* | |
* Requirements: | |
* | |
* - The divisor cannot be zero. | |
*/ | |
function mod(uint256 a, uint256 b) internal pure returns (uint256) { | |
return mod(a, b, "SafeMath: modulo by zero"); | |
} | |
/** | |
* @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo), | |
* Reverts with custom message when dividing by zero. | |
* | |
* Counterpart to Solidity's `%` operator. This function uses a `revert` | |
* opcode (which leaves remaining gas untouched) while Solidity uses an | |
* invalid opcode to revert (consuming all remaining gas). | |
* | |
* Requirements: | |
* | |
* - The divisor cannot be zero. | |
*/ | |
function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) { | |
require(b != 0, errorMessage); | |
return a % b; | |
} | |
} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
// SPDX-License-Identifier: GPL-3.0 | |
pragma solidity ^0.6.0; | |
import {SignedSafeMath} from "./SignedSafeMath.sol"; | |
import {SafeMath} from "./SafeMath.sol"; | |
library Babylonian { | |
function sqrt(int256 y) internal pure returns (int256 z) { | |
if (y > 3) { | |
z = y; | |
int256 x = y / 2 + 1; | |
while (x < z) { | |
z = x; | |
x = (y / x + x) / 2; | |
} | |
} else if (y != 0) { | |
z = 1; | |
} | |
} | |
} | |
contract Sample { | |
using SignedSafeMath for int256; | |
using SafeMath for uint256; | |
constructor() public { | |
} | |
function calc(int256 _haveAmount) external view returns(int256) { | |
int256 pool1WantReserve = 3126927 * 1e18; // CRV when user send ETH | |
int256 rb = 407357807338249*1e9; | |
int256 ra = 336743871511427*1e10; | |
int256 pool2Ratio = ra / rb; | |
//int256 pool2Ratio = 826 * 1e18; // Target LP ratio | |
int256 pool1HaveReserve = 4829 * 1e18; | |
int256 numToSquare = _haveAmount.mul(997).add(pool1HaveReserve.mul(1000)); | |
int256 a = pool1WantReserve.mul(-1994).mul(pool2Ratio); | |
int256 x = _haveAmount.mul(997); | |
int256 b = x.sub((pool1HaveReserve*100));//.mul(100)); | |
int256 c = a.mul(b); | |
x = c.add(ra.mul(ra) / rb.mul(rb)); | |
int256 reserves = pool1WantReserve.mul(pool1WantReserve); | |
a = x.mul(numToSquare.mul(numToSquare)); | |
b = a.add((reserves).mul(994009)); | |
c = b.add(_haveAmount.mul(997)); | |
a = c.mul(ra / rb); | |
b = a.sub(pool1WantReserve).mul(997); | |
c = pool1HaveReserve.mul(ra / rb).mul(1000); | |
a = pool2Ratio.mul(1994); | |
int256 sq = Babylonian.sqrt( | |
b.sub(c) | |
); | |
return sq.div(a); | |
} | |
} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
// SPDX-License-Identifier: MIT | |
pragma solidity ^0.6.0; | |
/** | |
* @title SignedSafeMath | |
* @dev Signed math operations with safety checks that revert on error. | |
*/ | |
library SignedSafeMath { | |
int256 constant private _INT256_MIN = -2**255; | |
/** | |
* @dev Returns the multiplication of two signed integers, reverting on | |
* overflow. | |
* | |
* Counterpart to Solidity's `*` operator. | |
* | |
* Requirements: | |
* | |
* - Multiplication cannot overflow. | |
*/ | |
function mul(int256 a, int256 b) internal pure returns (int256) { | |
// Gas optimization: this is cheaper than requiring 'a' not being zero, but the | |
// benefit is lost if 'b' is also tested. | |
// See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522 | |
if (a == 0) { | |
return 0; | |
} | |
require(!(a == -1 && b == _INT256_MIN), "SignedSafeMath: multiplication overflow"); | |
int256 c = a * b; | |
require(c / a == b, "SignedSafeMath: multiplication overflow"); | |
return c; | |
} | |
/** | |
* @dev Returns the integer division of two signed integers. Reverts on | |
* division by zero. The result is rounded towards zero. | |
* | |
* Counterpart to Solidity's `/` operator. Note: this function uses a | |
* `revert` opcode (which leaves remaining gas untouched) while Solidity | |
* uses an invalid opcode to revert (consuming all remaining gas). | |
* | |
* Requirements: | |
* | |
* - The divisor cannot be zero. | |
*/ | |
function div(int256 a, int256 b) internal pure returns (int256) { | |
require(b != 0, "SignedSafeMath: division by zero"); | |
require(!(b == -1 && a == _INT256_MIN), "SignedSafeMath: division overflow"); | |
int256 c = a / b; | |
return c; | |
} | |
/** | |
* @dev Returns the subtraction of two signed integers, reverting on | |
* overflow. | |
* | |
* Counterpart to Solidity's `-` operator. | |
* | |
* Requirements: | |
* | |
* - Subtraction cannot overflow. | |
*/ | |
function sub(int256 a, int256 b) internal pure returns (int256) { | |
int256 c = a - b; | |
require((b >= 0 && c <= a) || (b < 0 && c > a), "SignedSafeMath: subtraction overflow"); | |
return c; | |
} | |
/** | |
* @dev Returns the addition of two signed integers, reverting on | |
* overflow. | |
* | |
* Counterpart to Solidity's `+` operator. | |
* | |
* Requirements: | |
* | |
* - Addition cannot overflow. | |
*/ | |
function add(int256 a, int256 b) internal pure returns (int256) { | |
int256 c = a + b; | |
require((b >= 0 && c >= a) || (b < 0 && c < a), "SignedSafeMath: addition overflow"); | |
return c; | |
} | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment