Token

ERC20 ***

Feature Tip: Add private address tag to any address under My Name Tag !

ERC-20

Overview

Max Total Supply

0.000221017370916726 ERC20 ***

Holders

Total Transfers

Market

Onchain Market Cap

$0.00

Circulating Supply Market Cap

Other Info

Token Contract (WITH 18 Decimals)

0xcE9874C42DcE7fffbE5E48B026Ff1182733266Cb

Click here to update the token information / general information

#	Exchange	Pair	Price	24H Volume	% Volume

Similar Match Source Code
This contract matches the deployed Bytecode of the Source Code for Contract 0x23c0E614...145B7F5B8
The constructor portion of the code might be different and could alter the actual behaviour of the contract

Contract Name:

DMMPool

Compiler Version

v0.6.12+commit.27d51765

Optimization Enabled:

Yes with 999999 runs

Other Settings:

default evmVersion, MIT license

Contract Source Code (Solidity)

IDE

/**
 *Submitted for verification at Etherscan.io on 2021-04-04
*/

// SPDX-License-Identifier: BUSL-1.1

// File: @openzeppelin/contracts/math/SafeMath.sol



pragma solidity >=0.6.0 <0.8.0;

/**
 * @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, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        uint256 c = a + b;
        if (c < a) return (false, 0);
        return (true, c);
    }

    /**
     * @dev Returns the substraction of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b > a) return (false, 0);
        return (true, a - b);
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, 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 (true, 0);
        uint256 c = a * b;
        if (c / a != b) return (false, 0);
        return (true, c);
    }

    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a / b);
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a % b);
    }

    /**
     * @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) {
        require(b <= a, "SafeMath: subtraction overflow");
        return a - b;
    }

    /**
     * @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) {
        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, reverting 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) {
        require(b > 0, "SafeMath: division by zero");
        return a / b;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting 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) {
        require(b > 0, "SafeMath: modulo by zero");
        return a % b;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {trySub}.
     *
     * 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);
        return a - b;
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryDiv}.
     *
     * 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);
        return a / b;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting with custom message when dividing by zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryMod}.
     *
     * 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;
    }
}

// File: @openzeppelin/contracts/math/Math.sol



pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a >= b ? a : b;
    }

    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow, so we distribute
        return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);
    }
}

// File: @openzeppelin/contracts/utils/ReentrancyGuard.sol



pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Contract module that helps prevent reentrant calls to a function.
 *
 * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
 * available, which can be applied to functions to make sure there are no nested
 * (reentrant) calls to them.
 *
 * Note that because there is a single `nonReentrant` guard, functions marked as
 * `nonReentrant` may not call one another. This can be worked around by making
 * those functions `private`, and then adding `external` `nonReentrant` entry
 * points to them.
 *
 * TIP: If you would like to learn more about reentrancy and alternative ways
 * to protect against it, check out our blog post
 * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
 */
abstract contract ReentrancyGuard {
    // Booleans are more expensive than uint256 or any type that takes up a full
    // word because each write operation emits an extra SLOAD to first read the
    // slot's contents, replace the bits taken up by the boolean, and then write
    // back. This is the compiler's defense against contract upgrades and
    // pointer aliasing, and it cannot be disabled.

    // The values being non-zero value makes deployment a bit more expensive,
    // but in exchange the refund on every call to nonReentrant will be lower in
    // amount. Since refunds are capped to a percentage of the total
    // transaction's gas, it is best to keep them low in cases like this one, to
    // increase the likelihood of the full refund coming into effect.
    uint256 private constant _NOT_ENTERED = 1;
    uint256 private constant _ENTERED = 2;

    uint256 private _status;

    constructor () internal {
        _status = _NOT_ENTERED;
    }

    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and make it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        // On the first call to nonReentrant, _notEntered will be true
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");

        // Any calls to nonReentrant after this point will fail
        _status = _ENTERED;

        _;

        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = _NOT_ENTERED;
    }
}

// File: @openzeppelin/contracts/token/ERC20/IERC20.sol



pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);

    /**
     * @dev Moves `amount` tokens from the caller's account to `recipient`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address recipient, uint256 amount) external returns (bool);

    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);

    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);

    /**
     * @dev Moves `amount` tokens from `sender` to `recipient` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);

    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);
}

// File: @openzeppelin/contracts/utils/Address.sol



pragma solidity >=0.6.2 <0.8.0;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize, which returns 0 for contracts in
        // construction, since the code is only stored at the end of the
        // constructor execution.

        uint256 size;
        // solhint-disable-next-line no-inline-assembly
        assembly { size := extcodesize(account) }
        return size > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
        (bool success, ) = recipient.call{ value: amount }("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain`call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
      return functionCall(target, data, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value, string memory errorMessage) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        require(isContract(target), "Address: call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.call{ value: value }(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data, string memory errorMessage) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.staticcall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data, string memory errorMessage) internal returns (bytes memory) {
        require(isContract(target), "Address: delegate call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return _verifyCallResult(success, returndata, errorMessage);
    }

    function _verifyCallResult(bool success, bytes memory returndata, string memory errorMessage) private pure returns(bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly

                // solhint-disable-next-line no-inline-assembly
                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}

// File: @openzeppelin/contracts/token/ERC20/SafeERC20.sol



pragma solidity >=0.6.0 <0.8.0;




/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using SafeMath for uint256;
    using Address for address;

    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }

    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }

    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(IERC20 token, address spender, uint256 value) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        // solhint-disable-next-line max-line-length
        require((value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }

    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).add(value);
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }

    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 newAllowance = token.allowance(address(this), spender).sub(value, "SafeERC20: decreased allowance below zero");
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address.functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.

        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        if (returndata.length > 0) { // Return data is optional
            // solhint-disable-next-line max-line-length
            require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
        }
    }
}

// File: contracts/libraries/MathExt.sol


pragma solidity 0.6.12;


library MathExt {
    using SafeMath for uint256;

    uint256 public constant PRECISION = (10**18);

    /// @dev Returns x*y in precision
    function mulInPrecision(uint256 x, uint256 y) internal pure returns (uint256) {
        return x.mul(y) / PRECISION;
    }

    /// @dev source: dsMath
    /// @param xInPrecision should be < PRECISION, so this can not overflow
    /// @return zInPrecision = (x/PRECISION) ^k * PRECISION
    function unsafePowInPrecision(uint256 xInPrecision, uint256 k)
        internal
        pure
        returns (uint256 zInPrecision)
    {
        require(xInPrecision <= PRECISION, "MathExt: x > PRECISION");
        zInPrecision = k % 2 != 0 ? xInPrecision : PRECISION;

        for (k /= 2; k != 0; k /= 2) {
            xInPrecision = (xInPrecision * xInPrecision) / PRECISION;

            if (k % 2 != 0) {
                zInPrecision = (zInPrecision * xInPrecision) / PRECISION;
            }
        }
    }

    // babylonian method (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method)
    function sqrt(uint256 y) internal pure returns (uint256 z) {
        if (y > 3) {
            z = y;
            uint256 x = y / 2 + 1;
            while (x < z) {
                z = x;
                x = (y / x + x) / 2;
            }
        } else if (y != 0) {
            z = 1;
        }
    }
}

// File: contracts/libraries/FeeFomula.sol

pragma solidity 0.6.12;


library FeeFomula {
    using SafeMath for uint256;
    using MathExt for uint256;

    uint256 private constant PRECISION = 10**18;
    uint256 private constant R0 = 1477405064814996100; // 1.4774050648149961

    uint256 private constant C0 = (60 * PRECISION) / 10000;

    uint256 private constant A = uint256(PRECISION * 20000) / 27;
    uint256 private constant B = uint256(PRECISION * 250) / 9;
    uint256 private constant C1 = uint256(PRECISION * 985) / 27;
    uint256 private constant U = (120 * PRECISION) / 100;

    uint256 private constant G = (836 * PRECISION) / 1000;
    uint256 private constant F = 5 * PRECISION;
    uint256 private constant L = (2 * PRECISION) / 10000;
    // C2 = 25 * PRECISION - (F * (PRECISION - G)**2) / ((PRECISION - G)**2 + L * PRECISION)
    uint256 private constant C2 = 20036905816356657810;

    /// @dev calculate fee from rFactorInPrecision, see section 3.2 in dmmSwap white paper
    /// @dev fee in [15, 60] bps
    /// @return fee percentage in Precision
    function getFee(uint256 rFactorInPrecision) internal pure returns (uint256) {
        if (rFactorInPrecision >= R0) {
            return C0;
        } else if (rFactorInPrecision >= PRECISION) {
            // C1 + A * (r-U)^3 + b * (r -U)
            if (rFactorInPrecision > U) {
                uint256 tmp = rFactorInPrecision - U;
                uint256 tmp3 = tmp.unsafePowInPrecision(3);
                return (C1.add(A.mulInPrecision(tmp3)).add(B.mulInPrecision(tmp))) / 10000;
            } else {
                uint256 tmp = U - rFactorInPrecision;
                uint256 tmp3 = tmp.unsafePowInPrecision(3);
                return C1.sub(A.mulInPrecision(tmp3)).sub(B.mulInPrecision(tmp)) / 10000;
            }
        } else {
            // [ C2 + sign(r - G) *  F * (r-G) ^2 / (L + (r-G) ^2) ] / 10000
            uint256 tmp = (
                rFactorInPrecision > G ? (rFactorInPrecision - G) : (G - rFactorInPrecision)
            );
            tmp = tmp.unsafePowInPrecision(2);
            uint256 tmp2 = F.mul(tmp).div(tmp.add(L));
            if (rFactorInPrecision > G) {
                return C2.add(tmp2) / 10000;
            } else {
                return C2.sub(tmp2) / 10000;
            }
        }
    }
}

// File: @openzeppelin/contracts/utils/Context.sol



pragma solidity >=0.6.0 <0.8.0;

/*
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with GSN meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address payable) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes memory) {
        this; // silence state mutability warning without generating bytecode - see https://github.com/ethereum/solidity/issues/2691
        return msg.data;
    }
}

// File: @openzeppelin/contracts/token/ERC20/ERC20.sol



pragma solidity >=0.6.0 <0.8.0;




/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 * For a generic mechanism see {ERC20PresetMinterPauser}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.zeppelin.solutions/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * We have followed general OpenZeppelin guidelines: functions revert instead
 * of returning `false` on failure. This behavior is nonetheless conventional
 * and does not conflict with the expectations of ERC20 applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20 is Context, IERC20 {
    using SafeMath for uint256;

    mapping (address => uint256) private _balances;

    mapping (address => mapping (address => uint256)) private _allowances;

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;
    uint8 private _decimals;

    /**
     * @dev Sets the values for {name} and {symbol}, initializes {decimals} with
     * a default value of 18.
     *
     * To select a different value for {decimals}, use {_setupDecimals}.
     *
     * All three of these values are immutable: they can only be set once during
     * construction.
     */
    constructor (string memory name_, string memory symbol_) public {
        _name = name_;
        _symbol = symbol_;
        _decimals = 18;
    }

    /**
     * @dev Returns the name of the token.
     */
    function name() public view virtual returns (string memory) {
        return _name;
    }

    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view virtual returns (string memory) {
        return _symbol;
    }

    /**
     * @dev Returns the number of decimals used to get its user representation.
     * For example, if `decimals` equals `2`, a balance of `505` tokens should
     * be displayed to a user as `5,05` (`505 / 10 ** 2`).
     *
     * Tokens usually opt for a value of 18, imitating the relationship between
     * Ether and Wei. This is the value {ERC20} uses, unless {_setupDecimals} is
     * called.
     *
     * NOTE: This information is only used for _display_ purposes: it in
     * no way affects any of the arithmetic of the contract, including
     * {IERC20-balanceOf} and {IERC20-transfer}.
     */
    function decimals() public view virtual returns (uint8) {
        return _decimals;
    }

    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _totalSupply;
    }

    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view virtual override returns (uint256) {
        return _balances[account];
    }

    /**
     * @dev See {IERC20-transfer}.
     *
     * Requirements:
     *
     * - `recipient` cannot be the zero address.
     * - the caller must have a balance of at least `amount`.
     */
    function transfer(address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(_msgSender(), recipient, amount);
        return true;
    }

    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }

    /**
     * @dev See {IERC20-approve}.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        _approve(_msgSender(), spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * Requirements:
     *
     * - `sender` and `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     * - the caller must have allowance for ``sender``'s tokens of at least
     * `amount`.
     */
    function transferFrom(address sender, address recipient, uint256 amount) public virtual override returns (bool) {
        _transfer(sender, recipient, amount);
        _approve(sender, _msgSender(), _allowances[sender][_msgSender()].sub(amount, "ERC20: transfer amount exceeds allowance"));
        return true;
    }

    /**
     * @dev Atomically increases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
        _approve(_msgSender(), spender, _allowances[_msgSender()][spender].add(addedValue));
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        _approve(_msgSender(), spender, _allowances[_msgSender()][spender].sub(subtractedValue, "ERC20: decreased allowance below zero"));
        return true;
    }

    /**
     * @dev Moves tokens `amount` from `sender` to `recipient`.
     *
     * This is internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * Requirements:
     *
     * - `sender` cannot be the zero address.
     * - `recipient` cannot be the zero address.
     * - `sender` must have a balance of at least `amount`.
     */
    function _transfer(address sender, address recipient, uint256 amount) internal virtual {
        require(sender != address(0), "ERC20: transfer from the zero address");
        require(recipient != address(0), "ERC20: transfer to the zero address");

        _beforeTokenTransfer(sender, recipient, amount);

        _balances[sender] = _balances[sender].sub(amount, "ERC20: transfer amount exceeds balance");
        _balances[recipient] = _balances[recipient].add(amount);
        emit Transfer(sender, recipient, amount);
    }

    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");

        _beforeTokenTransfer(address(0), account, amount);

        _totalSupply = _totalSupply.add(amount);
        _balances[account] = _balances[account].add(amount);
        emit Transfer(address(0), account, amount);
    }

    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");

        _beforeTokenTransfer(account, address(0), amount);

        _balances[account] = _balances[account].sub(amount, "ERC20: burn amount exceeds balance");
        _totalSupply = _totalSupply.sub(amount);
        emit Transfer(account, address(0), amount);
    }

    /**
     * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
     *
     * This internal function is equivalent to `approve`, and can be used to
     * e.g. set automatic allowances for certain subsystems, etc.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     */
    function _approve(address owner, address spender, uint256 amount) internal virtual {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");

        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }

    /**
     * @dev Sets {decimals} to a value other than the default one of 18.
     *
     * WARNING: This function should only be called from the constructor. Most
     * applications that interact with token contracts will not expect
     * {decimals} to ever change, and may work incorrectly if it does.
     */
    function _setupDecimals(uint8 decimals_) internal virtual {
        _decimals = decimals_;
    }

    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be to transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual { }
}

// File: contracts/interfaces/IERC20Permit.sol


pragma solidity 0.6.12;


interface IERC20Permit is IERC20 {
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;
}

// File: contracts/libraries/ERC20Permit.sol


pragma solidity 0.6.12;



/// @dev https://eips.ethereum.org/EIPS/eip-2612
contract ERC20Permit is ERC20, IERC20Permit {
    /// @dev To make etherscan auto-verify new pool, this variable is not immutable
    bytes32 public domainSeparator;
    // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
    bytes32
        public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;

    mapping(address => uint256) public nonces;

    constructor(
        string memory name,
        string memory symbol,
        string memory version
    ) public ERC20(name, symbol) {
        uint256 chainId;
        assembly {
            chainId := chainid()
        }
        domainSeparator = keccak256(
            abi.encode(
                keccak256(
                    "EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"
                ),
                keccak256(bytes(name)),
                keccak256(bytes(version)),
                chainId,
                address(this)
            )
        );
    }

    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external override {
        require(deadline >= block.timestamp, "ERC20Permit: EXPIRED");
        bytes32 digest = keccak256(
            abi.encodePacked(
                "\x19\x01",
                domainSeparator,
                keccak256(
                    abi.encode(PERMIT_TYPEHASH, owner, spender, value, nonces[owner]++, deadline)
                )
            )
        );
        address recoveredAddress = ecrecover(digest, v, r, s);
        require(
            recoveredAddress != address(0) && recoveredAddress == owner,
            "ERC20Permit: INVALID_SIGNATURE"
        );
        _approve(owner, spender, value);
    }
}

// File: contracts/interfaces/IDMMFactory.sol

pragma solidity 0.6.12;


interface IDMMFactory {
    function createPool(
        IERC20 tokenA,
        IERC20 tokenB,
        uint32 ampBps
    ) external returns (address pool);

    function setFeeConfiguration(address feeTo, uint16 governmentFeeBps) external;

    function setFeeToSetter(address) external;

    function getFeeConfiguration() external view returns (address feeTo, uint16 governmentFeeBps);

    function feeToSetter() external view returns (address);

    function allPools(uint256) external view returns (address pool);

    function allPoolsLength() external view returns (uint256);

    function getUnamplifiedPool(IERC20 token0, IERC20 token1) external view returns (address);

    function getPools(IERC20 token0, IERC20 token1)
        external
        view
        returns (address[] memory _tokenPools);

    function isPool(
        IERC20 token0,
        IERC20 token1,
        address pool
    ) external view returns (bool);
}

// File: contracts/interfaces/IDMMCallee.sol

pragma solidity 0.6.12;

interface IDMMCallee {
    function dmmSwapCall(
        address sender,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;
}

// File: contracts/interfaces/IDMMPool.sol

pragma solidity 0.6.12;



interface IDMMPool {
    function mint(address to) external returns (uint256 liquidity);

    function burn(address to) external returns (uint256 amount0, uint256 amount1);

    function swap(
        uint256 amount0Out,
        uint256 amount1Out,
        address to,
        bytes calldata data
    ) external;

    function sync() external;

    function getReserves() external view returns (uint112 reserve0, uint112 reserve1);

    function getTradeInfo()
        external
        view
        returns (
            uint112 _vReserve0,
            uint112 _vReserve1,
            uint112 reserve0,
            uint112 reserve1,
            uint256 feeInPrecision
        );

    function token0() external view returns (IERC20);

    function token1() external view returns (IERC20);

    function ampBps() external view returns (uint32);

    function factory() external view returns (IDMMFactory);

    function kLast() external view returns (uint256);
}

// File: contracts/interfaces/IERC20Metadata.sol



pragma solidity 0.6.12;


/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 */
interface IERC20Metadata is IERC20 {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the symbol of the token.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the decimals places of the token.
     */
    function decimals() external view returns (uint8);
}

// File: contracts/VolumeTrendRecorder.sol

pragma solidity 0.6.12;


/// @dev contract to calculate volume trend. See secion 3.1 in the white paper
/// @dev EMA stands for Exponential moving average
/// @dev https://en.wikipedia.org/wiki/Moving_average
contract VolumeTrendRecorder {
    using MathExt for uint256;
    using SafeMath for uint256;

    uint256 private constant MAX_UINT128 = 2**128 - 1;
    uint256 internal constant PRECISION = 10**18;
    uint256 private constant SHORT_ALPHA = (2 * PRECISION) / 5401;
    uint256 private constant LONG_ALPHA = (2 * PRECISION) / 10801;

    uint128 internal shortEMA;
    uint128 internal longEMA;
    // total volume in current block
    uint128 internal currentBlockVolume;
    uint128 internal lastTradeBlock;

    event UpdateEMA(uint256 shortEMA, uint256 longEMA, uint128 lastBlockVolume, uint256 skipBlock);

    constructor(uint128 _emaInit) public {
        shortEMA = _emaInit;
        longEMA = _emaInit;
        lastTradeBlock = safeUint128(block.number);
    }

    function getVolumeTrendData()
        external
        view
        returns (
            uint128 _shortEMA,
            uint128 _longEMA,
            uint128 _currentBlockVolume,
            uint128 _lastTradeBlock
        )
    {
        _shortEMA = shortEMA;
        _longEMA = longEMA;
        _currentBlockVolume = currentBlockVolume;
        _lastTradeBlock = lastTradeBlock;
    }

    /// @dev records a new trade, update ema and returns current rFactor for this trade
    /// @return rFactor in Precision for this trade
    function recordNewUpdatedVolume(uint256 blockNumber, uint256 value)
        internal
        returns (uint256)
    {
        // this can not be underflow because block.number always increases
        uint256 skipBlock = blockNumber - lastTradeBlock;
        if (skipBlock == 0) {
            currentBlockVolume = safeUint128(
                uint256(currentBlockVolume).add(value),
                "volume exceeds valid range"
            );
            return calculateRFactor(uint256(shortEMA), uint256(longEMA));
        }
        uint128 _currentBlockVolume = currentBlockVolume;
        uint256 _shortEMA = newEMA(shortEMA, SHORT_ALPHA, currentBlockVolume);
        uint256 _longEMA = newEMA(longEMA, LONG_ALPHA, currentBlockVolume);
        // ema = ema * (1-aplha) ^(skipBlock -1)
        _shortEMA = _shortEMA.mulInPrecision(
            (PRECISION - SHORT_ALPHA).unsafePowInPrecision(skipBlock - 1)
        );
        _longEMA = _longEMA.mulInPrecision(
            (PRECISION - LONG_ALPHA).unsafePowInPrecision(skipBlock - 1)
        );
        shortEMA = safeUint128(_shortEMA);
        longEMA = safeUint128(_longEMA);
        currentBlockVolume = safeUint128(value);
        lastTradeBlock = safeUint128(blockNumber);

        emit UpdateEMA(_shortEMA, _longEMA, _currentBlockVolume, skipBlock);

        return calculateRFactor(_shortEMA, _longEMA);
    }

    /// @return rFactor in Precision for this trade
    function getRFactor(uint256 blockNumber) internal view returns (uint256) {
        // this can not be underflow because block.number always increases
        uint256 skipBlock = blockNumber - lastTradeBlock;
        if (skipBlock == 0) {
            return calculateRFactor(shortEMA, longEMA);
        }
        uint256 _shortEMA = newEMA(shortEMA, SHORT_ALPHA, currentBlockVolume);
        uint256 _longEMA = newEMA(longEMA, LONG_ALPHA, currentBlockVolume);
        _shortEMA = _shortEMA.mulInPrecision(
            (PRECISION - SHORT_ALPHA).unsafePowInPrecision(skipBlock - 1)
        );
        _longEMA = _longEMA.mulInPrecision(
            (PRECISION - LONG_ALPHA).unsafePowInPrecision(skipBlock - 1)
        );
        return calculateRFactor(_shortEMA, _longEMA);
    }

    function calculateRFactor(uint256 _shortEMA, uint256 _longEMA)
        internal
        pure
        returns (uint256)
    {
        if (_longEMA == 0) {
            return 0;
        }
        return (_shortEMA * MathExt.PRECISION) / _longEMA;
    }

    /// @dev return newEMA value
    /// @param ema previous ema value in wei
    /// @param alpha in Precicion (required < Precision)
    /// @param value current value to update ema
    /// @dev ema and value is uint128 and alpha < Percison
    /// @dev so this function can not overflow and returned ema is not overflow uint128
    function newEMA(
        uint128 ema,
        uint256 alpha,
        uint128 value
    ) internal pure returns (uint256) {
        assert(alpha < PRECISION);
        return ((PRECISION - alpha) * uint256(ema) + alpha * uint256(value)) / PRECISION;
    }

    function safeUint128(uint256 v) internal pure returns (uint128) {
        require(v <= MAX_UINT128, "overflow uint128");
        return uint128(v);
    }

    function safeUint128(uint256 v, string memory errorMessage) internal pure returns (uint128) {
        require(v <= MAX_UINT128, errorMessage);
        return uint128(v);
    }
}

// File: contracts/DMMPool.sol

pragma solidity 0.6.12;













contract DMMPool is IDMMPool, ERC20Permit, ReentrancyGuard, VolumeTrendRecorder {
    using SafeMath for uint256;
    using SafeERC20 for IERC20;

    uint256 internal constant MAX_UINT112 = 2**112 - 1;
    uint256 internal constant BPS = 10000;

    struct ReserveData {
        uint256 reserve0;
        uint256 reserve1;
        uint256 vReserve0;
        uint256 vReserve1; // only used when isAmpPool = true
    }

    uint256 public constant MINIMUM_LIQUIDITY = 10**3;
    /// @dev To make etherscan auto-verify new pool, these variables are not immutable
    IDMMFactory public override factory;
    IERC20 public override token0;
    IERC20 public override token1;

    /// @dev uses single storage slot, accessible via getReservesData
    uint112 internal reserve0;
    uint112 internal reserve1;
    uint32 public override ampBps;
    /// @dev addition param only when amplification factor > 1
    uint112 internal vReserve0;
    uint112 internal vReserve1;

    /// @dev vReserve0 * vReserve1, as of immediately after the most recent liquidity event
    uint256 public override kLast;

    event Mint(address indexed sender, uint256 amount0, uint256 amount1);
    event Burn(address indexed sender, uint256 amount0, uint256 amount1, address indexed to);
    event Swap(
        address indexed sender,
        uint256 amount0In,
        uint256 amount1In,
        uint256 amount0Out,
        uint256 amount1Out,
        address indexed to,
        uint256 feeInPrecision
    );
    event Sync(uint256 vReserve0, uint256 vReserve1, uint256 reserve0, uint256 reserve1);

    constructor() public ERC20Permit("KyberDMM LP", "DMM-LP", "1") VolumeTrendRecorder(0) {
        factory = IDMMFactory(msg.sender);
    }

    // called once by the factory at time of deployment
    function initialize(
        IERC20 _token0,
        IERC20 _token1,
        uint32 _ampBps
    ) external {
        require(msg.sender == address(factory), "DMM: FORBIDDEN");
        token0 = _token0;
        token1 = _token1;
        ampBps = _ampBps;
    }

    /// @dev this low-level function should be called from a contract
    ///                 which performs important safety checks
    function mint(address to) external override nonReentrant returns (uint256 liquidity) {
        (bool isAmpPool, ReserveData memory data) = getReservesData();
        ReserveData memory _data;
        _data.reserve0 = token0.balanceOf(address(this));
        _data.reserve1 = token1.balanceOf(address(this));
        uint256 amount0 = _data.reserve0.sub(data.reserve0);
        uint256 amount1 = _data.reserve1.sub(data.reserve1);

        bool feeOn = _mintFee(isAmpPool, data);
        uint256 _totalSupply = totalSupply(); // gas savings, must be defined here since totalSupply can update in _mintFee
        if (_totalSupply == 0) {
            if (isAmpPool) {
                uint32 _ampBps = ampBps;
                _data.vReserve0 = _data.reserve0.mul(_ampBps) / BPS;
                _data.vReserve1 = _data.reserve1.mul(_ampBps) / BPS;
            }
            liquidity = MathExt.sqrt(amount0.mul(amount1)).sub(MINIMUM_LIQUIDITY);
            _mint(address(-1), MINIMUM_LIQUIDITY); // permanently lock the first MINIMUM_LIQUIDITY tokens
        } else {
            liquidity = Math.min(
                amount0.mul(_totalSupply) / data.reserve0,
                amount1.mul(_totalSupply) / data.reserve1
            );
            if (isAmpPool) {
                uint256 b = liquidity.add(_totalSupply);
                _data.vReserve0 = Math.max(data.vReserve0.mul(b) / _totalSupply, _data.reserve0);
                _data.vReserve1 = Math.max(data.vReserve1.mul(b) / _totalSupply, _data.reserve1);
            }
        }
        require(liquidity > 0, "DMM: INSUFFICIENT_LIQUIDITY_MINTED");
        _mint(to, liquidity);

        _update(isAmpPool, _data);
        if (feeOn) kLast = getK(isAmpPool, _data);
        emit Mint(msg.sender, amount0, amount1);
    }

    /// @dev this low-level function should be called from a contract
    /// @dev which performs important safety checks
    /// @dev user must transfer LP token to this contract before call burn
    function burn(address to)
        external
        override
        nonReentrant
        returns (uint256 amount0, uint256 amount1)
    {
        (bool isAmpPool, ReserveData memory data) = getReservesData(); // gas savings
        IERC20 _token0 = token0; // gas savings
        IERC20 _token1 = token1; // gas savings

        uint256 balance0 = _token0.balanceOf(address(this));
        uint256 balance1 = _token1.balanceOf(address(this));
        require(balance0 >= data.reserve0 && balance1 >= data.reserve1, "DMM: UNSYNC_RESERVES");
        uint256 liquidity = balanceOf(address(this));

        bool feeOn = _mintFee(isAmpPool, data);
        uint256 _totalSupply = totalSupply(); // gas savings, must be defined here since totalSupply can update in _mintFee
        amount0 = liquidity.mul(balance0) / _totalSupply; // using balances ensures pro-rata distribution
        amount1 = liquidity.mul(balance1) / _totalSupply; // using balances ensures pro-rata distribution
        require(amount0 > 0 && amount1 > 0, "DMM: INSUFFICIENT_LIQUIDITY_BURNED");
        _burn(address(this), liquidity);
        _token0.safeTransfer(to, amount0);
        _token1.safeTransfer(to, amount1);
        ReserveData memory _data;
        _data.reserve0 = _token0.balanceOf(address(this));
        _data.reserve1 = _token1.balanceOf(address(this));
        if (isAmpPool) {
            uint256 b = Math.min(
                _data.reserve0.mul(_totalSupply) / data.reserve0,
                _data.reserve1.mul(_totalSupply) / data.reserve1
            );
            _data.vReserve0 = Math.max(data.vReserve0.mul(b) / _totalSupply, _data.reserve0);
            _data.vReserve1 = Math.max(data.vReserve1.mul(b) / _totalSupply, _data.reserve1);
        }
        _update(isAmpPool, _data);
        if (feeOn) kLast = getK(isAmpPool, _data); // data are up-to-date
        emit Burn(msg.sender, amount0, amount1, to);
    }

    /// @dev this low-level function should be called from a contract
    /// @dev which performs important safety checks
    function swap(
        uint256 amount0Out,
        uint256 amount1Out,
        address to,
        bytes calldata callbackData
    ) external override nonReentrant {
        require(amount0Out > 0 || amount1Out > 0, "DMM: INSUFFICIENT_OUTPUT_AMOUNT");
        (bool isAmpPool, ReserveData memory data) = getReservesData(); // gas savings
        require(
            amount0Out < data.reserve0 && amount1Out < data.reserve1,
            "DMM: INSUFFICIENT_LIQUIDITY"
        );

        ReserveData memory newData;
        {
            // scope for _token{0,1}, avoids stack too deep errors
            IERC20 _token0 = token0;
            IERC20 _token1 = token1;
            require(to != address(_token0) && to != address(_token1), "DMM: INVALID_TO");
            if (amount0Out > 0) _token0.safeTransfer(to, amount0Out); // optimistically transfer tokens
            if (amount1Out > 0) _token1.safeTransfer(to, amount1Out); // optimistically transfer tokens
            if (callbackData.length > 0)
                IDMMCallee(to).dmmSwapCall(msg.sender, amount0Out, amount1Out, callbackData);
            newData.reserve0 = _token0.balanceOf(address(this));
            newData.reserve1 = _token1.balanceOf(address(this));
            if (isAmpPool) {
                newData.vReserve0 = data.vReserve0.add(newData.reserve0).sub(data.reserve0);
                newData.vReserve1 = data.vReserve1.add(newData.reserve1).sub(data.reserve1);
            }
        }
        uint256 amount0In = newData.reserve0 > data.reserve0 - amount0Out
            ? newData.reserve0 - (data.reserve0 - amount0Out)
            : 0;
        uint256 amount1In = newData.reserve1 > data.reserve1 - amount1Out
            ? newData.reserve1 - (data.reserve1 - amount1Out)
            : 0;
        require(amount0In > 0 || amount1In > 0, "DMM: INSUFFICIENT_INPUT_AMOUNT");
        uint256 feeInPrecision = verifyBalanceAndUpdateEma(
            amount0In,
            amount1In,
            isAmpPool ? data.vReserve0 : data.reserve0,
            isAmpPool ? data.vReserve1 : data.reserve1,
            isAmpPool ? newData.vReserve0 : newData.reserve0,
            isAmpPool ? newData.vReserve1 : newData.reserve1
        );

        _update(isAmpPool, newData);
        emit Swap(msg.sender, amount0In, amount1In, amount0Out, amount1Out, to, feeInPrecision);
    }

    /// @dev force balances to match reserves
    function skim(address to) external nonReentrant {
        token0.safeTransfer(to, token0.balanceOf(address(this)).sub(reserve0));
        token1.safeTransfer(to, token1.balanceOf(address(this)).sub(reserve1));
    }

    /// @dev force reserves to match balances
    function sync() external override nonReentrant {
        (bool isAmpPool, ReserveData memory data) = getReservesData();
        bool feeOn = _mintFee(isAmpPool, data);
        ReserveData memory newData;
        newData.reserve0 = IERC20(token0).balanceOf(address(this));
        newData.reserve1 = IERC20(token1).balanceOf(address(this));
        // update virtual reserves if this is amp pool
        if (isAmpPool) {
            uint256 _totalSupply = totalSupply();
            uint256 b = Math.min(
                newData.reserve0.mul(_totalSupply) / data.reserve0,
                newData.reserve1.mul(_totalSupply) / data.reserve1
            );
            newData.vReserve0 = Math.max(data.vReserve0.mul(b) / _totalSupply, newData.reserve0);
            newData.vReserve1 = Math.max(data.vReserve1.mul(b) / _totalSupply, newData.reserve1);
        }
        _update(isAmpPool, newData);
        if (feeOn) kLast = getK(isAmpPool, newData);
    }

    /// @dev returns data to calculate amountIn, amountOut
    function getTradeInfo()
        external
        virtual
        override
        view
        returns (
            uint112 _reserve0,
            uint112 _reserve1,
            uint112 _vReserve0,
            uint112 _vReserve1,
            uint256 feeInPrecision
        )
    {
        // gas saving to read reserve data
        _reserve0 = reserve0;
        _reserve1 = reserve1;
        uint32 _ampBps = ampBps;
        _vReserve0 = vReserve0;
        _vReserve1 = vReserve1;
        if (_ampBps == BPS) {
            _vReserve0 = _reserve0;
            _vReserve1 = _reserve1;
        }
        uint256 rFactorInPrecision = getRFactor(block.number);
        feeInPrecision = getFinalFee(FeeFomula.getFee(rFactorInPrecision), _ampBps);
    }

    /// @dev returns reserve data to calculate amount to add liquidity
    function getReserves() external override view returns (uint112 _reserve0, uint112 _reserve1) {
        _reserve0 = reserve0;
        _reserve1 = reserve1;
    }

    function name() public override view returns (string memory) {
        IERC20Metadata _token0 = IERC20Metadata(address(token0));
        IERC20Metadata _token1 = IERC20Metadata(address(token1));
        return string(abi.encodePacked("KyberDMM LP ", _token0.symbol(), "-", _token1.symbol()));
    }

    function symbol() public override view returns (string memory) {
        IERC20Metadata _token0 = IERC20Metadata(address(token0));
        IERC20Metadata _token1 = IERC20Metadata(address(token1));
        return string(abi.encodePacked("DMM-LP ", _token0.symbol(), "-", _token1.symbol()));
    }

    function verifyBalanceAndUpdateEma(
        uint256 amount0In,
        uint256 amount1In,
        uint256 beforeReserve0,
        uint256 beforeReserve1,
        uint256 afterReserve0,
        uint256 afterReserve1
    ) internal virtual returns (uint256 feeInPrecision) {
        // volume = beforeReserve0 * amount1In / beforeReserve1 + amount0In (normalized into amount in token 0)
        uint256 volume = beforeReserve0.mul(amount1In).div(beforeReserve1).add(amount0In);
        uint256 rFactorInPrecision = recordNewUpdatedVolume(block.number, volume);
        feeInPrecision = getFinalFee(FeeFomula.getFee(rFactorInPrecision), ampBps);
        // verify balance update matches with fomula
        uint256 balance0Adjusted = afterReserve0.mul(PRECISION);
        balance0Adjusted = balance0Adjusted.sub(amount0In.mul(feeInPrecision));
        balance0Adjusted = balance0Adjusted / PRECISION;
        uint256 balance1Adjusted = afterReserve1.mul(PRECISION);
        balance1Adjusted = balance1Adjusted.sub(amount1In.mul(feeInPrecision));
        balance1Adjusted = balance1Adjusted / PRECISION;
        require(
            balance0Adjusted.mul(balance1Adjusted) >= beforeReserve0.mul(beforeReserve1),
            "DMM: K"
        );
    }

    /// @dev update reserves
    function _update(bool isAmpPool, ReserveData memory data) internal {
        reserve0 = safeUint112(data.reserve0);
        reserve1 = safeUint112(data.reserve1);
        if (isAmpPool) {
            assert(data.vReserve0 >= data.reserve0 && data.vReserve1 >= data.reserve1); // never happen
            vReserve0 = safeUint112(data.vReserve0);
            vReserve1 = safeUint112(data.vReserve1);
        }
        emit Sync(data.vReserve0, data.vReserve1, data.reserve0, data.reserve1);
    }

    /// @dev if fee is on, mint liquidity equivalent to configured fee of the growth in sqrt(k)
    function _mintFee(bool isAmpPool, ReserveData memory data) internal returns (bool feeOn) {
        (address feeTo, uint16 governmentFeeBps) = factory.getFeeConfiguration();
        feeOn = feeTo != address(0);
        uint256 _kLast = kLast; // gas savings
        if (feeOn) {
            if (_kLast != 0) {
                uint256 rootK = MathExt.sqrt(getK(isAmpPool, data));
                uint256 rootKLast = MathExt.sqrt(_kLast);
                if (rootK > rootKLast) {
                    uint256 numerator = totalSupply().mul(rootK.sub(rootKLast)).mul(
                        governmentFeeBps
                    );
                    uint256 denominator = rootK.add(rootKLast).mul(5000);
                    uint256 liquidity = numerator / denominator;
                    if (liquidity > 0) _mint(feeTo, liquidity);
                }
            }
        } else if (_kLast != 0) {
            kLast = 0;
        }
    }

    /// @dev gas saving to read reserve data
    function getReservesData() internal view returns (bool isAmpPool, ReserveData memory data) {
        data.reserve0 = reserve0;
        data.reserve1 = reserve1;
        isAmpPool = ampBps != BPS;
        if (isAmpPool) {
            data.vReserve0 = vReserve0;
            data.vReserve1 = vReserve1;
        }
    }

    function getFinalFee(uint256 feeInPrecision, uint32 _ampBps) internal pure returns (uint256) {
        if (_ampBps <= 20000) {
            return feeInPrecision;
        } else if (_ampBps <= 50000) {
            return (feeInPrecision * 20) / 30;
        } else if (_ampBps <= 200000) {
            return (feeInPrecision * 10) / 30;
        } else {
            return (feeInPrecision * 4) / 30;
        }
    }

    function getK(bool isAmpPool, ReserveData memory data) internal pure returns (uint256) {
        return isAmpPool ? data.vReserve0 * data.vReserve1 : data.reserve0 * data.reserve1;
    }

    function safeUint112(uint256 x) internal pure returns (uint112) {
        require(x <= MAX_UINT112, "DMM: OVERFLOW");
        return uint112(x);
    }
}

Contract Security Audit

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Contract ABI

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IDMMFactory","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getReserves","outputs":[{"internalType":"uint112","name":"_reserve0","type":"uint112"},{"internalType":"uint112","name":"_reserve1","type":"uint112"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getTradeInfo","outputs":[{"internalType":"uint112","name":"_reserve0","type":"uint112"},{"internalType":"uint112","name":"_reserve1","type":"uint112"},{"internalType":"uint112","name":"_vReserve0","type":"uint112"},{"internalType":"uint112","name":"_vReserve1","type":"uint112"},{"internalType":"uint256","name":"feeInPrecision","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getVolumeTrendData","outputs":[{"internalType":"uint128","name":"_shortEMA","type":"uint128"},{"internalType":"uint128","name":"_longEMA","type":"uint128"},{"internalType":"uint128","name":"_currentBlockVolume","type":"uint128"},{"internalType":"uint128","name":"_lastTradeBlock","type":"uint128"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"addedValue","type":"uint256"}],"name":"increaseAllowance","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"contract IERC20","name":"_token0","type":"address"},{"internalType":"contract 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Contract Creation Code

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Swarm Source

ipfs://49f6f8528b3e4b37e72b9bde0aa804ce74fda17a3dc51ea424bf85cf5943707e

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