// Copyright (C) 2015, 2016, 2017 Dapphub

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.4.18;

contract WETH9 {
    string public name     = "Wrapped Ether";
    string public symbol   = "WETH";
    uint8  public decimals = 18;

    event  Approval(address indexed src, address indexed guy, uint wad);
    event  Transfer(address indexed src, address indexed dst, uint wad);
    event  Deposit(address indexed dst, uint wad);
    event  Withdrawal(address indexed src, uint wad);

    mapping (address => uint)                       public  balanceOf;
    mapping (address => mapping (address => uint))  public  allowance;

    function() public payable {
        deposit();
    }
    function deposit() public payable {
        balanceOf[msg.sender] += msg.value;
        Deposit(msg.sender, msg.value);
    }
    function withdraw(uint wad) public {
        require(balanceOf[msg.sender] >= wad);
        balanceOf[msg.sender] -= wad;
        msg.sender.transfer(wad);
        Withdrawal(msg.sender, wad);
    }

    function totalSupply() public view returns (uint) {
        return this.balance;
    }

    function approve(address guy, uint wad) public returns (bool) {
        allowance[msg.sender][guy] = wad;
        Approval(msg.sender, guy, wad);
        return true;
    }

    function transfer(address dst, uint wad) public returns (bool) {
        return transferFrom(msg.sender, dst, wad);
    }

    function transferFrom(address src, address dst, uint wad)
        public
        returns (bool)
    {
        require(balanceOf[src] >= wad);

        if (src != msg.sender && allowance[src][msg.sender] != uint(-1)) {
            require(allowance[src][msg.sender] >= wad);
            allowance[src][msg.sender] -= wad;
        }

        balanceOf[src] -= wad;
        balanceOf[dst] += wad;

        Transfer(src, dst, wad);

        return true;
    }
}


/*
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DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
SUCH DAMAGES.

  17. Interpretation of Sections 15 and 16.

  If the disclaimer of warranty and limitation of liability provided
above cannot be given local legal effect according to their terms,
reviewing courts shall apply local law that most closely approximates
an absolute waiver of all civil liability in connection with the
Program, unless a warranty or assumption of liability accompanies a
copy of the Program in return for a fee.

                     END OF TERMS AND CONDITIONS

            How to Apply These Terms to Your New Programs

  If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these terms.

  To do so, attach the following notices to the program.  It is safest
to attach them to the start of each source file to most effectively
state the exclusion of warranty; and each file should have at least
the "copyright" line and a pointer to where the full notice is found.

    <one line to give the program's name and a brief idea of what it does.>
    Copyright (C) <year>  <name of author>

    This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with this program.  If not, see <http://www.gnu.org/licenses/>.

Also add information on how to contact you by electronic and paper mail.

  If the program does terminal interaction, make it output a short
notice like this when it starts in an interactive mode:

    <program>  Copyright (C) <year>  <name of author>
    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
    This is free software, and you are welcome to redistribute it
    under certain conditions; type `show c' for details.

The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License.  Of course, your program's commands
might be different; for a GUI interface, you would use an "about box".

  You should also get your employer (if you work as a programmer) or school,
if any, to sign a "copyright disclaimer" for the program, if necessary.
For more information on this, and how to apply and follow the GNU GPL, see
<http://www.gnu.org/licenses/>.

  The GNU General Public License does not permit incorporating your program
into proprietary programs.  If your program is a subroutine library, you
may consider it more useful to permit linking proprietary applications with
the library.  If this is what you want to do, use the GNU Lesser General
Public License instead of this License.  But first, please read
<http://www.gnu.org/philosophy/why-not-lgpl.html>.

*/

//SPDX-License-Identifier: MIT
pragma solidity 0.8.21;
contract Error {
    error FluidInfiniteProxyError(uint256 errorId_);
}
//SPDX-License-Identifier: MIT
pragma solidity 0.8.21;
library ErrorTypes {
    /***********************************|
    |         Infinite proxy            | 
    |__________________________________*/
    /// @notice thrown when an implementation does not exist
    uint256 internal constant InfiniteProxy__ImplementationNotExist = 50001;
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
contract Events {
    /// @notice emitted when a new admin is set
    event LogSetAdmin(address indexed oldAdmin, address indexed newAdmin);
    /// @notice emitted when a new dummy implementation is set
    event LogSetDummyImplementation(address indexed oldDummyImplementation, address indexed newDummyImplementation);
    /// @notice emitted when a new implementation is set with certain sigs
    event LogSetImplementation(address indexed implementation, bytes4[] sigs);
    /// @notice emitted when an implementation is removed
    event LogRemoveImplementation(address indexed implementation);
}
// SPDX-License-Identifier: MIT
pragma solidity 0.8.21;
import { Events } from "./events.sol";
import { ErrorTypes } from "./errorTypes.sol";
import { Error } from "./error.sol";
import { StorageRead } from "../libraries/storageRead.sol";
contract CoreInternals is StorageRead, Events, Error {
    struct SigsSlot {
        bytes4[] value;
    }
    /// @dev Storage slot with the admin of the contract.
    /// This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1, and is
    /// validated in the constructor.
    bytes32 internal constant _ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;
    /// @dev Storage slot with the address of the current dummy-implementation.
    /// This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1, and is
    /// validated in the constructor.
    bytes32 internal constant _DUMMY_IMPLEMENTATION_SLOT =
        0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
    /// @dev use EIP1967 proxy slot (see _DUMMY_IMPLEMENTATION_SLOT) except for first 4 bytes,
    // which are set to 0. This is combined with a sig which will be set in those first 4 bytes
    bytes32 internal constant _SIG_SLOT_BASE = 0x000000003ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
    /// @dev Returns the storage slot which stores the sigs array set for the implementation.
    function _getSlotImplSigsSlot(address implementation_) internal pure returns (bytes32) {
        return keccak256(abi.encode("eip1967.proxy.implementation", implementation_));
    }
    /// @dev Returns the storage slot which stores the implementation address for the function sig.
    function _getSlotSigsImplSlot(bytes4 sig_) internal pure returns (bytes32 result_) {
        assembly {
            // or operator sets sig_ in first 4 bytes with rest of bytes32 having default value of _SIG_SLOT_BASE
            result_ := or(_SIG_SLOT_BASE, sig_)
        }
    }
    /// @dev Returns an address `data_` located at `slot_`.
    function _getAddressSlot(bytes32 slot_) internal view returns (address data_) {
        assembly {
            data_ := sload(slot_)
        }
    }
    /// @dev Sets an address `data_` located at `slot_`.
    function _setAddressSlot(bytes32 slot_, address data_) internal {
        assembly {
            sstore(slot_, data_)
        }
    }
    /// @dev Returns an `SigsSlot` with member `value` located at `slot`.
    function _getSigsSlot(bytes32 slot_) internal pure returns (SigsSlot storage _r) {
        assembly {
            _r.slot := slot_
        }
    }
    /// @dev Sets new implementation and adds mapping from implementation to sigs and sig to implementation.
    function _setImplementationSigs(address implementation_, bytes4[] memory sigs_) internal {
        require(sigs_.length != 0, "no-sigs");
        bytes32 slot_ = _getSlotImplSigsSlot(implementation_);
        bytes4[] memory sigsCheck_ = _getSigsSlot(slot_).value;
        require(sigsCheck_.length == 0, "implementation-already-exist");
        for (uint256 i; i < sigs_.length; i++) {
            bytes32 sigSlot_ = _getSlotSigsImplSlot(sigs_[i]);
            require(_getAddressSlot(sigSlot_) == address(0), "sig-already-exist");
            _setAddressSlot(sigSlot_, implementation_);
        }
        _getSigsSlot(slot_).value = sigs_;
        emit LogSetImplementation(implementation_, sigs_);
    }
    /// @dev Removes implementation and the mappings corresponding to it.
    function _removeImplementationSigs(address implementation_) internal {
        bytes32 slot_ = _getSlotImplSigsSlot(implementation_);
        bytes4[] memory sigs_ = _getSigsSlot(slot_).value;
        require(sigs_.length != 0, "implementation-not-exist");
        for (uint256 i; i < sigs_.length; i++) {
            bytes32 sigSlot_ = _getSlotSigsImplSlot(sigs_[i]);
            _setAddressSlot(sigSlot_, address(0));
        }
        delete _getSigsSlot(slot_).value;
        emit LogRemoveImplementation(implementation_);
    }
    /// @dev Returns bytes4[] sigs from implementation address. If implemenatation is not registered then returns empty array.
    function _getImplementationSigs(address implementation_) internal view returns (bytes4[] memory) {
        bytes32 slot_ = _getSlotImplSigsSlot(implementation_);
        return _getSigsSlot(slot_).value;
    }
    /// @dev Returns implementation address from bytes4 sig. If sig is not registered then returns address(0).
    function _getSigImplementation(bytes4 sig_) internal view returns (address implementation_) {
        bytes32 slot_ = _getSlotSigsImplSlot(sig_);
        return _getAddressSlot(slot_);
    }
    /// @dev Returns the current admin.
    function _getAdmin() internal view returns (address) {
        return _getAddressSlot(_ADMIN_SLOT);
    }
    /// @dev Returns the current dummy-implementation.
    function _getDummyImplementation() internal view returns (address) {
        return _getAddressSlot(_DUMMY_IMPLEMENTATION_SLOT);
    }
    /// @dev Stores a new address in the EIP1967 admin slot.
    function _setAdmin(address newAdmin_) internal {
        address oldAdmin_ = _getAdmin();
        require(newAdmin_ != address(0), "ERC1967: new admin is the zero address");
        _setAddressSlot(_ADMIN_SLOT, newAdmin_);
        emit LogSetAdmin(oldAdmin_, newAdmin_);
    }
    /// @dev Stores a new address in the EIP1967 implementation slot.
    function _setDummyImplementation(address newDummyImplementation_) internal {
        address oldDummyImplementation_ = _getDummyImplementation();
        _setAddressSlot(_DUMMY_IMPLEMENTATION_SLOT, newDummyImplementation_);
        emit LogSetDummyImplementation(oldDummyImplementation_, newDummyImplementation_);
    }
}
contract AdminInternals is CoreInternals {
    /// @dev Only admin guard
    modifier onlyAdmin() {
        require(msg.sender == _getAdmin(), "only-admin");
        _;
    }
    constructor(address admin_, address dummyImplementation_) {
        _setAdmin(admin_);
        _setDummyImplementation(dummyImplementation_);
    }
    /// @dev Sets new admin.
    function setAdmin(address newAdmin_) external onlyAdmin {
        _setAdmin(newAdmin_);
    }
    /// @dev Sets new dummy-implementation.
    function setDummyImplementation(address newDummyImplementation_) external onlyAdmin {
        _setDummyImplementation(newDummyImplementation_);
    }
    /// @dev Adds new implementation address.
    function addImplementation(address implementation_, bytes4[] calldata sigs_) external onlyAdmin {
        _setImplementationSigs(implementation_, sigs_);
    }
    /// @dev Removes an existing implementation address.
    function removeImplementation(address implementation_) external onlyAdmin {
        _removeImplementationSigs(implementation_);
    }
}
/// @title Proxy
/// @notice This abstract contract provides a fallback function that delegates all calls to another contract using the EVM.
/// It implements the Instadapp infinite-proxy: https://github.com/Instadapp/infinite-proxy
abstract contract Proxy is AdminInternals {
    constructor(address admin_, address dummyImplementation_) AdminInternals(admin_, dummyImplementation_) {}
    /// @dev Returns admin's address.
    function getAdmin() external view returns (address) {
        return _getAdmin();
    }
    /// @dev Returns dummy-implementations's address.
    function getDummyImplementation() external view returns (address) {
        return _getDummyImplementation();
    }
    /// @dev Returns bytes4[] sigs from implementation address If not registered then returns empty array.
    function getImplementationSigs(address impl_) external view returns (bytes4[] memory) {
        return _getImplementationSigs(impl_);
    }
    /// @dev Returns implementation address from bytes4 sig. If sig is not registered then returns address(0).
    function getSigsImplementation(bytes4 sig_) external view returns (address) {
        return _getSigImplementation(sig_);
    }
    /// @dev Fallback function that delegates calls to the address returned by Implementations registry.
    fallback() external payable {
        address implementation_;
        assembly {
            // get slot for sig and directly SLOAD implementation address from storage at that slot
            implementation_ := sload(
                // same as in `_getSlotSigsImplSlot()` but we must also load msg.sig from calldata.
                // msg.sig is first 4 bytes of calldata, so we can use calldataload(0) with a mask
                or(
                    // or operator sets sig_ in first 4 bytes with rest of bytes32 having default value of _SIG_SLOT_BASE
                    _SIG_SLOT_BASE,
                    and(calldataload(0), 0xFFFFFFFF00000000000000000000000000000000000000000000000000000000)
                )
            )
        }
        if (implementation_ == address(0)) {
            revert FluidInfiniteProxyError(ErrorTypes.InfiniteProxy__ImplementationNotExist);
        }
        // Delegate the current call to `implementation`.
        // This does not return to its internall call site, it will return directly to the external caller.
        // solhint-disable-next-line no-inline-assembly
        assembly {
            // Copy msg.data. We take full control of memory in this inline assembly
            // block because it will not return to Solidity code. We overwrite the
            // Solidity scratch pad at memory position 0.
            calldatacopy(0, 0, calldatasize())
            // Call the implementation.
            // out and outsize are 0 because we don't know the size yet.
            let result := delegatecall(gas(), implementation_, 0, calldatasize(), 0, 0)
            // Copy the returned data.
            returndatacopy(0, 0, returndatasize())
            if eq(result, 0) {
                // delegatecall returns 0 on error.
                revert(0, returndatasize())
            }
            return(0, returndatasize())
        }
    }
    receive() external payable {
        // receive method can never have calldata in EVM so no need for any logic here
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
/// @notice implements a method to read uint256 data from storage at a bytes32 storage slot key.
contract StorageRead {
    function readFromStorage(bytes32 slot_) public view returns (uint256 result_) {
        assembly {
            result_ := sload(slot_) // read value from the storage slot
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { Proxy } from "../infiniteProxy/proxy.sol";
/// @notice Fluid Liquidity infinte proxy.
/// Liquidity is the central point of the Instadapp Fluid architecture, it is the core interaction point
/// for all allow-listed protocols, such as fTokens, Vault, Flashloan, StETH protocol, DEX protocol etc.
contract FluidLiquidityProxy is Proxy {
    constructor(address admin_, address dummyImplementation_) Proxy(admin_, dummyImplementation_) {}
}

pragma solidity ^0.4.24;

// File: zos-lib/contracts/upgradeability/Proxy.sol

/**
 * @title Proxy
 * @dev Implements delegation of calls to other contracts, with proper
 * forwarding of return values and bubbling of failures.
 * It defines a fallback function that delegates all calls to the address
 * returned by the abstract _implementation() internal function.
 */
contract Proxy {
  /**
   * @dev Fallback function.
   * Implemented entirely in `_fallback`.
   */
  function () payable external {
    _fallback();
  }

  /**
   * @return The Address of the implementation.
   */
  function _implementation() internal view returns (address);

  /**
   * @dev Delegates execution to an implementation contract.
   * This is a low level function that doesn't return to its internal call site.
   * It will return to the external caller whatever the implementation returns.
   * @param implementation Address to delegate.
   */
  function _delegate(address implementation) internal {
    assembly {
      // Copy msg.data. We take full control of memory in this inline assembly
      // block because it will not return to Solidity code. We overwrite the
      // Solidity scratch pad at memory position 0.
      calldatacopy(0, 0, calldatasize)

      // Call the implementation.
      // out and outsize are 0 because we don't know the size yet.
      let result := delegatecall(gas, implementation, 0, calldatasize, 0, 0)

      // Copy the returned data.
      returndatacopy(0, 0, returndatasize)

      switch result
      // delegatecall returns 0 on error.
      case 0 { revert(0, returndatasize) }
      default { return(0, returndatasize) }
    }
  }

  /**
   * @dev Function that is run as the first thing in the fallback function.
   * Can be redefined in derived contracts to add functionality.
   * Redefinitions must call super._willFallback().
   */
  function _willFallback() internal {
  }

  /**
   * @dev fallback implementation.
   * Extracted to enable manual triggering.
   */
  function _fallback() internal {
    _willFallback();
    _delegate(_implementation());
  }
}

// File: openzeppelin-solidity/contracts/AddressUtils.sol

/**
 * Utility library of inline functions on addresses
 */
library AddressUtils {

  /**
   * Returns whether the target address is a contract
   * @dev This function will return false if invoked during the constructor of a contract,
   * as the code is not actually created until after the constructor finishes.
   * @param addr address to check
   * @return whether the target address is a contract
   */
  function isContract(address addr) internal view returns (bool) {
    uint256 size;
    // XXX Currently there is no better way to check if there is a contract in an address
    // than to check the size of the code at that address.
    // See https://ethereum.stackexchange.com/a/14016/36603
    // for more details about how this works.
    // TODO Check this again before the Serenity release, because all addresses will be
    // contracts then.
    // solium-disable-next-line security/no-inline-assembly
    assembly { size := extcodesize(addr) }
    return size > 0;
  }

}

// File: zos-lib/contracts/upgradeability/UpgradeabilityProxy.sol

/**
 * @title UpgradeabilityProxy
 * @dev This contract implements a proxy that allows to change the
 * implementation address to which it will delegate.
 * Such a change is called an implementation upgrade.
 */
contract UpgradeabilityProxy is Proxy {
  /**
   * @dev Emitted when the implementation is upgraded.
   * @param implementation Address of the new implementation.
   */
  event Upgraded(address implementation);

  /**
   * @dev Storage slot with the address of the current implementation.
   * This is the keccak-256 hash of "org.zeppelinos.proxy.implementation", and is
   * validated in the constructor.
   */
  bytes32 private constant IMPLEMENTATION_SLOT = 0x7050c9e0f4ca769c69bd3a8ef740bc37934f8e2c036e5a723fd8ee048ed3f8c3;

  /**
   * @dev Contract constructor.
   * @param _implementation Address of the initial implementation.
   */
  constructor(address _implementation) public {
    assert(IMPLEMENTATION_SLOT == keccak256("org.zeppelinos.proxy.implementation"));

    _setImplementation(_implementation);
  }

  /**
   * @dev Returns the current implementation.
   * @return Address of the current implementation
   */
  function _implementation() internal view returns (address impl) {
    bytes32 slot = IMPLEMENTATION_SLOT;
    assembly {
      impl := sload(slot)
    }
  }

  /**
   * @dev Upgrades the proxy to a new implementation.
   * @param newImplementation Address of the new implementation.
   */
  function _upgradeTo(address newImplementation) internal {
    _setImplementation(newImplementation);
    emit Upgraded(newImplementation);
  }

  /**
   * @dev Sets the implementation address of the proxy.
   * @param newImplementation Address of the new implementation.
   */
  function _setImplementation(address newImplementation) private {
    require(AddressUtils.isContract(newImplementation), "Cannot set a proxy implementation to a non-contract address");

    bytes32 slot = IMPLEMENTATION_SLOT;

    assembly {
      sstore(slot, newImplementation)
    }
  }
}

// File: zos-lib/contracts/upgradeability/AdminUpgradeabilityProxy.sol

/**
 * @title AdminUpgradeabilityProxy
 * @dev This contract combines an upgradeability proxy with an authorization
 * mechanism for administrative tasks.
 * All external functions in this contract must be guarded by the
 * `ifAdmin` modifier. See ethereum/solidity#3864 for a Solidity
 * feature proposal that would enable this to be done automatically.
 */
contract AdminUpgradeabilityProxy is UpgradeabilityProxy {
  /**
   * @dev Emitted when the administration has been transferred.
   * @param previousAdmin Address of the previous admin.
   * @param newAdmin Address of the new admin.
   */
  event AdminChanged(address previousAdmin, address newAdmin);

  /**
   * @dev Storage slot with the admin of the contract.
   * This is the keccak-256 hash of "org.zeppelinos.proxy.admin", and is
   * validated in the constructor.
   */
  bytes32 private constant ADMIN_SLOT = 0x10d6a54a4754c8869d6886b5f5d7fbfa5b4522237ea5c60d11bc4e7a1ff9390b;

  /**
   * @dev Modifier to check whether the `msg.sender` is the admin.
   * If it is, it will run the function. Otherwise, it will delegate the call
   * to the implementation.
   */
  modifier ifAdmin() {
    if (msg.sender == _admin()) {
      _;
    } else {
      _fallback();
    }
  }

  /**
   * Contract constructor.
   * It sets the `msg.sender` as the proxy administrator.
   * @param _implementation address of the initial implementation.
   */
  constructor(address _implementation) UpgradeabilityProxy(_implementation) public {
    assert(ADMIN_SLOT == keccak256("org.zeppelinos.proxy.admin"));

    _setAdmin(msg.sender);
  }

  /**
   * @return The address of the proxy admin.
   */
  function admin() external view ifAdmin returns (address) {
    return _admin();
  }

  /**
   * @return The address of the implementation.
   */
  function implementation() external view ifAdmin returns (address) {
    return _implementation();
  }

  /**
   * @dev Changes the admin of the proxy.
   * Only the current admin can call this function.
   * @param newAdmin Address to transfer proxy administration to.
   */
  function changeAdmin(address newAdmin) external ifAdmin {
    require(newAdmin != address(0), "Cannot change the admin of a proxy to the zero address");
    emit AdminChanged(_admin(), newAdmin);
    _setAdmin(newAdmin);
  }

  /**
   * @dev Upgrade the backing implementation of the proxy.
   * Only the admin can call this function.
   * @param newImplementation Address of the new implementation.
   */
  function upgradeTo(address newImplementation) external ifAdmin {
    _upgradeTo(newImplementation);
  }

  /**
   * @dev Upgrade the backing implementation of the proxy and call a function
   * on the new implementation.
   * This is useful to initialize the proxied contract.
   * @param newImplementation Address of the new implementation.
   * @param data Data to send as msg.data in the low level call.
   * It should include the signature and the parameters of the function to be
   * called, as described in
   * https://solidity.readthedocs.io/en/develop/abi-spec.html#function-selector-and-argument-encoding.
   */
  function upgradeToAndCall(address newImplementation, bytes data) payable external ifAdmin {
    _upgradeTo(newImplementation);
    require(address(this).call.value(msg.value)(data));
  }

  /**
   * @return The admin slot.
   */
  function _admin() internal view returns (address adm) {
    bytes32 slot = ADMIN_SLOT;
    assembly {
      adm := sload(slot)
    }
  }

  /**
   * @dev Sets the address of the proxy admin.
   * @param newAdmin Address of the new proxy admin.
   */
  function _setAdmin(address newAdmin) internal {
    bytes32 slot = ADMIN_SLOT;

    assembly {
      sstore(slot, newAdmin)
    }
  }

  /**
   * @dev Only fall back when the sender is not the admin.
   */
  function _willFallback() internal {
    require(msg.sender != _admin(), "Cannot call fallback function from the proxy admin");
    super._willFallback();
  }
}

// File: contracts/FiatTokenProxy.sol

/**
* Copyright CENTRE SECZ 2018
*
* Permission is hereby granted, free of charge, to any person obtaining a copy 
* of this software and associated documentation files (the "Software"), to deal 
* in the Software without restriction, including without limitation the rights 
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 
* copies of the Software, and to permit persons to whom the Software is furnished to 
* do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all 
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
* WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN 
* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/

pragma solidity ^0.4.24;


/**
 * @title FiatTokenProxy
 * @dev This contract proxies FiatToken calls and enables FiatToken upgrades
*/ 
contract FiatTokenProxy is AdminUpgradeabilityProxy {
    constructor(address _implementation) public AdminUpgradeabilityProxy(_implementation) {
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.21;
interface IProxy {
    function setAdmin(address newAdmin_) external;
    function setDummyImplementation(address newDummyImplementation_) external;
    function addImplementation(address implementation_, bytes4[] calldata sigs_) external;
    function removeImplementation(address implementation_) external;
    function getAdmin() external view returns (address);
    function getDummyImplementation() external view returns (address);
    function getImplementationSigs(address impl_) external view returns (bytes4[] memory);
    function getSigsImplementation(bytes4 sig_) external view returns (address);
    function readFromStorage(bytes32 slot_) external view returns (uint256 result_);
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
/// @notice implements calculation of address for contracts deployed through CREATE.
/// Accepts contract deployed from which address & nonce
library AddressCalcs {
    /// @notice                         Computes the address of a contract based
    /// @param deployedFrom_            Address from which the contract was deployed
    /// @param nonce_                   Nonce at which the contract was deployed
    /// @return contract_               Address of deployed contract
    function addressCalc(address deployedFrom_, uint nonce_) internal pure returns (address contract_) {
        // @dev based on https://ethereum.stackexchange.com/a/61413
        // nonce of smart contract always starts with 1. so, with nonce 0 there won't be any deployment
        // hence, nonce of vault deployment starts with 1.
        bytes memory data;
        if (nonce_ == 0x00) {
            return address(0);
        } else if (nonce_ <= 0x7f) {
            data = abi.encodePacked(bytes1(0xd6), bytes1(0x94), deployedFrom_, uint8(nonce_));
        } else if (nonce_ <= 0xff) {
            data = abi.encodePacked(bytes1(0xd7), bytes1(0x94), deployedFrom_, bytes1(0x81), uint8(nonce_));
        } else if (nonce_ <= 0xffff) {
            data = abi.encodePacked(bytes1(0xd8), bytes1(0x94), deployedFrom_, bytes1(0x82), uint16(nonce_));
        } else if (nonce_ <= 0xffffff) {
            data = abi.encodePacked(bytes1(0xd9), bytes1(0x94), deployedFrom_, bytes1(0x83), uint24(nonce_));
        } else {
            data = abi.encodePacked(bytes1(0xda), bytes1(0x94), deployedFrom_, bytes1(0x84), uint32(nonce_));
        }
        return address(uint160(uint256(keccak256(data))));
    }
}// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
/// @title library that represents a number in BigNumber(coefficient and exponent) format to store in smaller bits.
/// @notice the number is divided into two parts: a coefficient and an exponent. This comes at a cost of losing some precision
/// at the end of the number because the exponent simply fills it with zeroes. This precision is oftentimes negligible and can
/// result in significant gas cost reduction due to storage space reduction.
/// Also note, a valid big number is as follows: if the exponent is > 0, then coefficient last bits should be occupied to have max precision.
/// @dev roundUp is more like a increase 1, which happens everytime for the same number.
/// roundDown simply sets trailing digits after coefficientSize to zero (floor), only once for the same number.
library BigMathMinified {
    /// @dev constants to use for `roundUp` input param to increase readability
    bool internal constant ROUND_DOWN = false;
    bool internal constant ROUND_UP = true;
    /// @dev converts `normal` number to BigNumber with `exponent` and `coefficient` (or precision).
    /// e.g.:
    /// 5035703444687813576399599 (normal) = (coefficient[32bits], exponent[8bits])[40bits]
    /// 5035703444687813576399599 (decimal) => 10000101010010110100000011111011110010100110100000000011100101001101001101011101111 (binary)
    ///                                     => 10000101010010110100000011111011000000000000000000000000000000000000000000000000000
    ///                                                                        ^-------------------- 51(exponent) -------------- ^
    /// coefficient = 1000,0101,0100,1011,0100,0000,1111,1011               (2236301563)
    /// exponent =                                            0011,0011     (51)
    /// bigNumber =   1000,0101,0100,1011,0100,0000,1111,1011,0011,0011     (572493200179)
    ///
    /// @param normal number which needs to be converted into Big Number
    /// @param coefficientSize at max how many bits of precision there should be (64 = uint64 (64 bits precision))
    /// @param exponentSize at max how many bits of exponent there should be (8 = uint8 (8 bits exponent))
    /// @param roundUp signals if result should be rounded down or up
    /// @return bigNumber converted bigNumber (coefficient << exponent)
    function toBigNumber(
        uint256 normal,
        uint256 coefficientSize,
        uint256 exponentSize,
        bool roundUp
    ) internal pure returns (uint256 bigNumber) {
        assembly {
            let lastBit_
            let number_ := normal
            if gt(number_, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) {
                number_ := shr(0x80, number_)
                lastBit_ := 0x80
            }
            if gt(number_, 0xFFFFFFFFFFFFFFFF) {
                number_ := shr(0x40, number_)
                lastBit_ := add(lastBit_, 0x40)
            }
            if gt(number_, 0xFFFFFFFF) {
                number_ := shr(0x20, number_)
                lastBit_ := add(lastBit_, 0x20)
            }
            if gt(number_, 0xFFFF) {
                number_ := shr(0x10, number_)
                lastBit_ := add(lastBit_, 0x10)
            }
            if gt(number_, 0xFF) {
                number_ := shr(0x8, number_)
                lastBit_ := add(lastBit_, 0x8)
            }
            if gt(number_, 0xF) {
                number_ := shr(0x4, number_)
                lastBit_ := add(lastBit_, 0x4)
            }
            if gt(number_, 0x3) {
                number_ := shr(0x2, number_)
                lastBit_ := add(lastBit_, 0x2)
            }
            if gt(number_, 0x1) {
                lastBit_ := add(lastBit_, 1)
            }
            if gt(number_, 0) {
                lastBit_ := add(lastBit_, 1)
            }
            if lt(lastBit_, coefficientSize) {
                // for throw exception
                lastBit_ := coefficientSize
            }
            let exponent := sub(lastBit_, coefficientSize)
            let coefficient := shr(exponent, normal)
            if and(roundUp, gt(exponent, 0)) {
                // rounding up is only needed if exponent is > 0, as otherwise the coefficient fully holds the original number
                coefficient := add(coefficient, 1)
                if eq(shl(coefficientSize, 1), coefficient) {
                    // case were coefficient was e.g. 111, with adding 1 it became 1000 (in binary) and coefficientSize 3 bits
                    // final coefficient would exceed it's size. -> reduce coefficent to 100 and increase exponent by 1.
                    coefficient := shl(sub(coefficientSize, 1), 1)
                    exponent := add(exponent, 1)
                }
            }
            if iszero(lt(exponent, shl(exponentSize, 1))) {
                // if exponent is >= exponentSize, the normal number is too big to fit within
                // BigNumber with too small sizes for coefficient and exponent
                revert(0, 0)
            }
            bigNumber := shl(exponentSize, coefficient)
            bigNumber := add(bigNumber, exponent)
        }
    }
    /// @dev get `normal` number from `bigNumber`, `exponentSize` and `exponentMask`
    function fromBigNumber(
        uint256 bigNumber,
        uint256 exponentSize,
        uint256 exponentMask
    ) internal pure returns (uint256 normal) {
        assembly {
            let coefficient := shr(exponentSize, bigNumber)
            let exponent := and(bigNumber, exponentMask)
            normal := shl(exponent, coefficient)
        }
    }
    /// @dev gets the most significant bit `lastBit` of a `normal` number (length of given number of binary format).
    /// e.g.
    /// 5035703444687813576399599 = 10000101010010110100000011111011110010100110100000000011100101001101001101011101111
    /// lastBit =                   ^---------------------------------   83   ----------------------------------------^
    function mostSignificantBit(uint256 normal) internal pure returns (uint lastBit) {
        assembly {
            let number_ := normal
            if gt(normal, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) {
                number_ := shr(0x80, number_)
                lastBit := 0x80
            }
            if gt(number_, 0xFFFFFFFFFFFFFFFF) {
                number_ := shr(0x40, number_)
                lastBit := add(lastBit, 0x40)
            }
            if gt(number_, 0xFFFFFFFF) {
                number_ := shr(0x20, number_)
                lastBit := add(lastBit, 0x20)
            }
            if gt(number_, 0xFFFF) {
                number_ := shr(0x10, number_)
                lastBit := add(lastBit, 0x10)
            }
            if gt(number_, 0xFF) {
                number_ := shr(0x8, number_)
                lastBit := add(lastBit, 0x8)
            }
            if gt(number_, 0xF) {
                number_ := shr(0x4, number_)
                lastBit := add(lastBit, 0x4)
            }
            if gt(number_, 0x3) {
                number_ := shr(0x2, number_)
                lastBit := add(lastBit, 0x2)
            }
            if gt(number_, 0x1) {
                lastBit := add(lastBit, 1)
            }
            if gt(number_, 0) {
                lastBit := add(lastBit, 1)
            }
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { BigMathMinified } from "./bigMathMinified.sol";
import { DexSlotsLink } from "./dexSlotsLink.sol";
// !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
// @DEV ATTENTION: ON ANY CHANGES HERE, MAKE SURE THAT LOGIC IN VAULTS WILL STILL BE VALID.
// SOME CODE THERE ASSUMES DEXCALCS == LIQUIDITYCALCS.
// !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
/// @notice implements calculation methods used for Fluid Dex such as updated withdrawal / borrow limits.
library DexCalcs {
    // constants used for BigMath conversion from and to storage
    uint256 internal constant DEFAULT_EXPONENT_SIZE = 8;
    uint256 internal constant DEFAULT_EXPONENT_MASK = 0xFF;
    uint256 internal constant FOUR_DECIMALS = 1e4;
    uint256 internal constant X14 = 0x3fff;
    uint256 internal constant X18 = 0x3ffff;
    uint256 internal constant X24 = 0xffffff;
    uint256 internal constant X33 = 0x1ffffffff;
    uint256 internal constant X64 = 0xffffffffffffffff;
    ///////////////////////////////////////////////////////////////////////////
    //////////                      CALC LIMITS                       /////////
    ///////////////////////////////////////////////////////////////////////////
    /// @dev calculates withdrawal limit before an operate execution:
    /// amount of user supply that must stay supplied (not amount that can be withdrawn).
    /// i.e. if user has supplied 100m and can withdraw 5M, this method returns the 95M, not the withdrawable amount 5M
    /// @param userSupplyData_ user supply data packed uint256 from storage
    /// @param userSupply_ current user supply amount already extracted from `userSupplyData_` and converted from BigMath
    /// @return currentWithdrawalLimit_ current withdrawal limit updated for expansion since last interaction.
    ///         returned value is in raw for with interest mode, normal amount for interest free mode!
    function calcWithdrawalLimitBeforeOperate(
        uint256 userSupplyData_,
        uint256 userSupply_
    ) internal view returns (uint256 currentWithdrawalLimit_) {
        // @dev must support handling the case where timestamp is 0 (config is set but no interactions yet).
        // first tx where timestamp is 0 will enter `if (lastWithdrawalLimit_ == 0)` because lastWithdrawalLimit_ is not set yet.
        // returning max withdrawal allowed, which is not exactly right but doesn't matter because the first interaction must be
        // a deposit anyway. Important is that it would not revert.
        // Note the first time a deposit brings the user supply amount to above the base withdrawal limit, the active limit
        // is the fully expanded limit immediately.
        // extract last set withdrawal limit
        uint256 lastWithdrawalLimit_ = (userSupplyData_ >> DexSlotsLink.BITS_USER_SUPPLY_PREVIOUS_WITHDRAWAL_LIMIT) &
            X64;
        lastWithdrawalLimit_ =
            (lastWithdrawalLimit_ >> DEFAULT_EXPONENT_SIZE) <<
            (lastWithdrawalLimit_ & DEFAULT_EXPONENT_MASK);
        if (lastWithdrawalLimit_ == 0) {
            // withdrawal limit is not activated. Max withdrawal allowed
            return 0;
        }
        uint256 maxWithdrawableLimit_;
        uint256 temp_;
        unchecked {
            // extract max withdrawable percent of user supply and
            // calculate maximum withdrawable amount expandPercentage of user supply at full expansion duration elapsed
            // e.g.: if 10% expandPercentage, meaning 10% is withdrawable after full expandDuration has elapsed.
            // userSupply_ needs to be atleast 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            maxWithdrawableLimit_ =
                (((userSupplyData_ >> DexSlotsLink.BITS_USER_SUPPLY_EXPAND_PERCENT) & X14) * userSupply_) /
                FOUR_DECIMALS;
            // time elapsed since last withdrawal limit was set (in seconds)
            // @dev last process timestamp is guaranteed to exist for withdrawal, as a supply must have happened before.
            // last timestamp can not be > current timestamp
            temp_ = block.timestamp - ((userSupplyData_ >> DexSlotsLink.BITS_USER_SUPPLY_LAST_UPDATE_TIMESTAMP) & X33);
        }
        // calculate withdrawable amount of expandPercent that is elapsed of expandDuration.
        // e.g. if 60% of expandDuration has elapsed, then user should be able to withdraw 6% of user supply, down to 94%.
        // Note: no explicit check for this needed, it is covered by setting minWithdrawalLimit_ if needed.
        temp_ =
            (maxWithdrawableLimit_ * temp_) /
            // extract expand duration: After this, decrement won't happen (user can withdraw 100% of withdraw limit)
            ((userSupplyData_ >> DexSlotsLink.BITS_USER_SUPPLY_EXPAND_DURATION) & X24); // expand duration can never be 0
        // calculate expanded withdrawal limit: last withdrawal limit - withdrawable amount.
        // Note: withdrawable amount here can grow bigger than userSupply if timeElapsed is a lot bigger than expandDuration,
        // which would cause the subtraction `lastWithdrawalLimit_ - withdrawableAmount_` to revert. In that case, set 0
        // which will cause minimum (fully expanded) withdrawal limit to be set in lines below.
        unchecked {
            // underflow explicitly checked & handled
            currentWithdrawalLimit_ = lastWithdrawalLimit_ > temp_ ? lastWithdrawalLimit_ - temp_ : 0;
            // calculate minimum withdrawal limit: minimum amount of user supply that must stay supplied at full expansion.
            // subtraction can not underflow as maxWithdrawableLimit_ is a percentage amount (<=100%) of userSupply_
            temp_ = userSupply_ - maxWithdrawableLimit_;
        }
        // if withdrawal limit is decreased below minimum then set minimum
        // (e.g. when more than expandDuration time has elapsed)
        if (temp_ > currentWithdrawalLimit_) {
            currentWithdrawalLimit_ = temp_;
        }
    }
    /// @dev calculates withdrawal limit after an operate execution:
    /// amount of user supply that must stay supplied (not amount that can be withdrawn).
    /// i.e. if user has supplied 100m and can withdraw 5M, this method returns the 95M, not the withdrawable amount 5M
    /// @param userSupplyData_ user supply data packed uint256 from storage
    /// @param userSupply_ current user supply amount already extracted from `userSupplyData_` and added / subtracted with the executed operate amount
    /// @param newWithdrawalLimit_ current withdrawal limit updated for expansion since last interaction, result from `calcWithdrawalLimitBeforeOperate`
    /// @return withdrawalLimit_ updated withdrawal limit that should be written to storage. returned value is in
    ///                          raw for with interest mode, normal amount for interest free mode!
    function calcWithdrawalLimitAfterOperate(
        uint256 userSupplyData_,
        uint256 userSupply_,
        uint256 newWithdrawalLimit_
    ) internal pure returns (uint256) {
        // temp_ => base withdrawal limit. below this, maximum withdrawals are allowed
        uint256 temp_ = (userSupplyData_ >> DexSlotsLink.BITS_USER_SUPPLY_BASE_WITHDRAWAL_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        // if user supply is below base limit then max withdrawals are allowed
        if (userSupply_ < temp_) {
            return 0;
        }
        // temp_ => withdrawal limit expandPercent (is in 1e2 decimals)
        temp_ = (userSupplyData_ >> DexSlotsLink.BITS_USER_SUPPLY_EXPAND_PERCENT) & X14;
        unchecked {
            // temp_ => minimum withdrawal limit: userSupply - max withdrawable limit (userSupply * expandPercent))
            // userSupply_ needs to be atleast 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            // subtraction can not underflow as maxWithdrawableLimit_ is a percentage amount (<=100%) of userSupply_
            temp_ = userSupply_ - ((userSupply_ * temp_) / FOUR_DECIMALS);
        }
        // if new (before operation) withdrawal limit is less than minimum limit then set minimum limit.
        // e.g. can happen on new deposits. withdrawal limit is instantly fully expanded in a scenario where
        // increased deposit amount outpaces withrawals.
        if (temp_ > newWithdrawalLimit_) {
            return temp_;
        }
        return newWithdrawalLimit_;
    }
    /// @dev calculates borrow limit before an operate execution:
    /// total amount user borrow can reach (not borrowable amount in current operation).
    /// i.e. if user has borrowed 50M and can still borrow 5M, this method returns the total 55M, not the borrowable amount 5M
    /// @param userBorrowData_ user borrow data packed uint256 from storage
    /// @param userBorrow_ current user borrow amount already extracted from `userBorrowData_`
    /// @return currentBorrowLimit_ current borrow limit updated for expansion since last interaction. returned value is in
    ///                             raw for with interest mode, normal amount for interest free mode!
    function calcBorrowLimitBeforeOperate(
        uint256 userBorrowData_,
        uint256 userBorrow_
    ) internal view returns (uint256 currentBorrowLimit_) {
        // @dev must support handling the case where timestamp is 0 (config is set but no interactions yet) -> base limit.
        // first tx where timestamp is 0 will enter `if (maxExpandedBorrowLimit_ < baseBorrowLimit_)` because `userBorrow_` and thus
        // `maxExpansionLimit_` and thus `maxExpandedBorrowLimit_` is 0 and `baseBorrowLimit_` can not be 0.
        // temp_ = extract borrow expand percent (is in 1e2 decimals)
        uint256 temp_ = (userBorrowData_ >> DexSlotsLink.BITS_USER_BORROW_EXPAND_PERCENT) & X14;
        uint256 maxExpansionLimit_;
        uint256 maxExpandedBorrowLimit_;
        unchecked {
            // calculate max expansion limit: Max amount limit can expand to since last interaction
            // userBorrow_ needs to be atleast 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            maxExpansionLimit_ = ((userBorrow_ * temp_) / FOUR_DECIMALS);
            // calculate max borrow limit: Max point limit can increase to since last interaction
            maxExpandedBorrowLimit_ = userBorrow_ + maxExpansionLimit_;
        }
        // currentBorrowLimit_ = extract base borrow limit
        currentBorrowLimit_ = (userBorrowData_ >> DexSlotsLink.BITS_USER_BORROW_BASE_BORROW_LIMIT) & X18;
        currentBorrowLimit_ =
            (currentBorrowLimit_ >> DEFAULT_EXPONENT_SIZE) <<
            (currentBorrowLimit_ & DEFAULT_EXPONENT_MASK);
        if (maxExpandedBorrowLimit_ < currentBorrowLimit_) {
            return currentBorrowLimit_;
        }
        // time elapsed since last borrow limit was set (in seconds)
        unchecked {
            // temp_ = timeElapsed_ (last timestamp can not be > current timestamp)
            temp_ = block.timestamp - ((userBorrowData_ >> DexSlotsLink.BITS_USER_BORROW_LAST_UPDATE_TIMESTAMP) & X33); // extract last update timestamp
        }
        // currentBorrowLimit_ = expandedBorrowableAmount + extract last set borrow limit
        currentBorrowLimit_ =
            // calculate borrow limit expansion since last interaction for `expandPercent` that is elapsed of `expandDuration`.
            // divisor is extract expand duration (after this, full expansion to expandPercentage happened).
            ((maxExpansionLimit_ * temp_) /
                ((userBorrowData_ >> DexSlotsLink.BITS_USER_BORROW_EXPAND_DURATION) & X24)) + // expand duration can never be 0
            //  extract last set borrow limit
            BigMathMinified.fromBigNumber(
                (userBorrowData_ >> DexSlotsLink.BITS_USER_BORROW_PREVIOUS_BORROW_LIMIT) & X64,
                DEFAULT_EXPONENT_SIZE,
                DEFAULT_EXPONENT_MASK
            );
        // if timeElapsed is bigger than expandDuration, new borrow limit would be > max expansion,
        // so set to `maxExpandedBorrowLimit_` in that case.
        // also covers the case where last process timestamp = 0 (timeElapsed would simply be very big)
        if (currentBorrowLimit_ > maxExpandedBorrowLimit_) {
            currentBorrowLimit_ = maxExpandedBorrowLimit_;
        }
        // temp_ = extract hard max borrow limit. Above this user can never borrow (not expandable above)
        temp_ = (userBorrowData_ >> DexSlotsLink.BITS_USER_BORROW_MAX_BORROW_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        if (currentBorrowLimit_ > temp_) {
            currentBorrowLimit_ = temp_;
        }
    }
    /// @dev calculates borrow limit after an operate execution:
    /// total amount user borrow can reach (not borrowable amount in current operation).
    /// i.e. if user has borrowed 50M and can still borrow 5M, this method returns the total 55M, not the borrowable amount 5M
    /// @param userBorrowData_ user borrow data packed uint256 from storage
    /// @param userBorrow_ current user borrow amount already extracted from `userBorrowData_` and added / subtracted with the executed operate amount
    /// @param newBorrowLimit_ current borrow limit updated for expansion since last interaction, result from `calcBorrowLimitBeforeOperate`
    /// @return borrowLimit_ updated borrow limit that should be written to storage.
    ///                      returned value is in raw for with interest mode, normal amount for interest free mode!
    function calcBorrowLimitAfterOperate(
        uint256 userBorrowData_,
        uint256 userBorrow_,
        uint256 newBorrowLimit_
    ) internal pure returns (uint256 borrowLimit_) {
        // temp_ = extract borrow expand percent
        uint256 temp_ = (userBorrowData_ >> DexSlotsLink.BITS_USER_BORROW_EXPAND_PERCENT) & X14; // (is in 1e2 decimals)
        unchecked {
            // borrowLimit_ = calculate maximum borrow limit at full expansion.
            // userBorrow_ needs to be at least 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            borrowLimit_ = userBorrow_ + ((userBorrow_ * temp_) / FOUR_DECIMALS);
        }
        // temp_ = extract base borrow limit
        temp_ = (userBorrowData_ >> DexSlotsLink.BITS_USER_BORROW_BASE_BORROW_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        if (borrowLimit_ < temp_) {
            // below base limit, borrow limit is always base limit
            return temp_;
        }
        // temp_ = extract hard max borrow limit. Above this user can never borrow (not expandable above)
        temp_ = (userBorrowData_ >> DexSlotsLink.BITS_USER_BORROW_MAX_BORROW_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        // make sure fully expanded borrow limit is not above hard max borrow limit
        if (borrowLimit_ > temp_) {
            borrowLimit_ = temp_;
        }
        // if new borrow limit (from before operate) is > max borrow limit, set max borrow limit.
        // (e.g. on a repay shrinking instantly to fully expanded borrow limit from new borrow amount. shrinking is instant)
        if (newBorrowLimit_ > borrowLimit_) {
            return borrowLimit_;
        }
        return newBorrowLimit_;
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
/// @notice library that helps in reading / working with storage slot data of Fluid Dex.
/// @dev as all data for Fluid Dex is internal, any data must be fetched directly through manual
/// slot reading through this library or, if gas usage is less important, through the FluidDexResolver.
library DexSlotsLink {
    /// @dev storage slot for variables at Dex
    uint256 internal constant DEX_VARIABLES_SLOT = 0;
    /// @dev storage slot for variables2 at Dex
    uint256 internal constant DEX_VARIABLES2_SLOT = 1;
    /// @dev storage slot for total supply shares at Dex
    uint256 internal constant DEX_TOTAL_SUPPLY_SHARES_SLOT = 2;
    /// @dev storage slot for user supply mapping at Dex
    uint256 internal constant DEX_USER_SUPPLY_MAPPING_SLOT = 3;
    /// @dev storage slot for total borrow shares at Dex
    uint256 internal constant DEX_TOTAL_BORROW_SHARES_SLOT = 4;
    /// @dev storage slot for user borrow mapping at Dex
    uint256 internal constant DEX_USER_BORROW_MAPPING_SLOT = 5;
    /// @dev storage slot for oracle mapping at Dex
    uint256 internal constant DEX_ORACLE_MAPPING_SLOT = 6;
    /// @dev storage slot for range and threshold shifts at Dex
    uint256 internal constant DEX_RANGE_THRESHOLD_SHIFTS_SLOT = 7;
    /// @dev storage slot for center price shift at Dex
    uint256 internal constant DEX_CENTER_PRICE_SHIFT_SLOT = 8;
    // --------------------------------
    // @dev stacked uint256 storage slots bits position data for each:
    // UserSupplyData
    uint256 internal constant BITS_USER_SUPPLY_ALLOWED = 0;
    uint256 internal constant BITS_USER_SUPPLY_AMOUNT = 1;
    uint256 internal constant BITS_USER_SUPPLY_PREVIOUS_WITHDRAWAL_LIMIT = 65;
    uint256 internal constant BITS_USER_SUPPLY_LAST_UPDATE_TIMESTAMP = 129;
    uint256 internal constant BITS_USER_SUPPLY_EXPAND_PERCENT = 162;
    uint256 internal constant BITS_USER_SUPPLY_EXPAND_DURATION = 176;
    uint256 internal constant BITS_USER_SUPPLY_BASE_WITHDRAWAL_LIMIT = 200;
    // UserBorrowData
    uint256 internal constant BITS_USER_BORROW_ALLOWED = 0;
    uint256 internal constant BITS_USER_BORROW_AMOUNT = 1;
    uint256 internal constant BITS_USER_BORROW_PREVIOUS_BORROW_LIMIT = 65;
    uint256 internal constant BITS_USER_BORROW_LAST_UPDATE_TIMESTAMP = 129;
    uint256 internal constant BITS_USER_BORROW_EXPAND_PERCENT = 162;
    uint256 internal constant BITS_USER_BORROW_EXPAND_DURATION = 176;
    uint256 internal constant BITS_USER_BORROW_BASE_BORROW_LIMIT = 200;
    uint256 internal constant BITS_USER_BORROW_MAX_BORROW_LIMIT = 218;
    // --------------------------------
    /// @notice Calculating the slot ID for Dex contract for single mapping at `slot_` for `key_`
    function calculateMappingStorageSlot(uint256 slot_, address key_) internal pure returns (bytes32) {
        return keccak256(abi.encode(key_, slot_));
    }
    /// @notice Calculating the slot ID for Dex contract for double mapping at `slot_` for `key1_` and `key2_`
    function calculateDoubleMappingStorageSlot(
        uint256 slot_,
        address key1_,
        address key2_
    ) internal pure returns (bytes32) {
        bytes32 intermediateSlot_ = keccak256(abi.encode(key1_, slot_));
        return keccak256(abi.encode(key2_, intermediateSlot_));
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
library LibsErrorTypes {
    /***********************************|
    |         LiquidityCalcs            | 
    |__________________________________*/
    /// @notice thrown when supply or borrow exchange price is zero at calc token data (token not configured yet)
    uint256 internal constant LiquidityCalcs__ExchangePriceZero = 70001;
    /// @notice thrown when rate data is set to a version that is not implemented
    uint256 internal constant LiquidityCalcs__UnsupportedRateVersion = 70002;
    /// @notice thrown when the calculated borrow rate turns negative. This should never happen.
    uint256 internal constant LiquidityCalcs__BorrowRateNegative = 70003;
    /***********************************|
    |           SafeTransfer            | 
    |__________________________________*/
    /// @notice thrown when safe transfer from for an ERC20 fails
    uint256 internal constant SafeTransfer__TransferFromFailed = 71001;
    /// @notice thrown when safe transfer for an ERC20 fails
    uint256 internal constant SafeTransfer__TransferFailed = 71002;
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { LibsErrorTypes as ErrorTypes } from "./errorTypes.sol";
import { LiquiditySlotsLink } from "./liquiditySlotsLink.sol";
import { BigMathMinified } from "./bigMathMinified.sol";
/// @notice implements calculation methods used for Fluid liquidity such as updated exchange prices,
/// borrow rate, withdrawal / borrow limits, revenue amount.
library LiquidityCalcs {
    error FluidLiquidityCalcsError(uint256 errorId_);
    /// @notice emitted if the calculated borrow rate surpassed max borrow rate (16 bits) and was capped at maximum value 65535
    event BorrowRateMaxCap();
    /// @dev constants as from Liquidity variables.sol
    uint256 internal constant EXCHANGE_PRICES_PRECISION = 1e12;
    /// @dev Ignoring leap years
    uint256 internal constant SECONDS_PER_YEAR = 365 days;
    // constants used for BigMath conversion from and to storage
    uint256 internal constant DEFAULT_EXPONENT_SIZE = 8;
    uint256 internal constant DEFAULT_EXPONENT_MASK = 0xFF;
    uint256 internal constant FOUR_DECIMALS = 1e4;
    uint256 internal constant TWELVE_DECIMALS = 1e12;
    uint256 internal constant X14 = 0x3fff;
    uint256 internal constant X15 = 0x7fff;
    uint256 internal constant X16 = 0xffff;
    uint256 internal constant X18 = 0x3ffff;
    uint256 internal constant X24 = 0xffffff;
    uint256 internal constant X33 = 0x1ffffffff;
    uint256 internal constant X64 = 0xffffffffffffffff;
    ///////////////////////////////////////////////////////////////////////////
    //////////                  CALC EXCHANGE PRICES                  /////////
    ///////////////////////////////////////////////////////////////////////////
    /// @dev calculates interest (exchange prices) for a token given its' exchangePricesAndConfig from storage.
    /// @param exchangePricesAndConfig_ exchange prices and config packed uint256 read from storage
    /// @return supplyExchangePrice_ updated supplyExchangePrice
    /// @return borrowExchangePrice_ updated borrowExchangePrice
    function calcExchangePrices(
        uint256 exchangePricesAndConfig_
    ) internal view returns (uint256 supplyExchangePrice_, uint256 borrowExchangePrice_) {
        // Extracting exchange prices
        supplyExchangePrice_ =
            (exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_SUPPLY_EXCHANGE_PRICE) &
            X64;
        borrowExchangePrice_ =
            (exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_BORROW_EXCHANGE_PRICE) &
            X64;
        if (supplyExchangePrice_ == 0 || borrowExchangePrice_ == 0) {
            revert FluidLiquidityCalcsError(ErrorTypes.LiquidityCalcs__ExchangePriceZero);
        }
        uint256 temp_ = exchangePricesAndConfig_ & X16; // temp_ = borrowRate
        unchecked {
            // last timestamp can not be > current timestamp
            uint256 secondsSinceLastUpdate_ = block.timestamp -
                ((exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_LAST_TIMESTAMP) & X33);
            uint256 borrowRatio_ = (exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_BORROW_RATIO) &
                X15;
            if (secondsSinceLastUpdate_ == 0 || temp_ == 0 || borrowRatio_ == 1) {
                // if no time passed, borrow rate is 0, or no raw borrowings: no exchange price update needed
                // (if borrowRatio_ == 1 means there is only borrowInterestFree, as first bit is 1 and rest is 0)
                return (supplyExchangePrice_, borrowExchangePrice_);
            }
            // calculate new borrow exchange price.
            // formula borrowExchangePriceIncrease: previous price * borrow rate * secondsSinceLastUpdate_.
            // nominator is max uint112 (uint64 * uint16 * uint32). Divisor can not be 0.
            borrowExchangePrice_ +=
                (borrowExchangePrice_ * temp_ * secondsSinceLastUpdate_) /
                (SECONDS_PER_YEAR * FOUR_DECIMALS);
            // FOR SUPPLY EXCHANGE PRICE:
            // all yield paid by borrowers (in mode with interest) goes to suppliers in mode with interest.
            // formula: previous price * supply rate * secondsSinceLastUpdate_.
            // where supply rate = (borrow rate  - revenueFee%) * ratioSupplyYield. And
            // ratioSupplyYield = utilization * supplyRatio * borrowRatio
            //
            // Example:
            // supplyRawInterest is 80, supplyInterestFree is 20. totalSupply is 100. BorrowedRawInterest is 50.
            // BorrowInterestFree is 10. TotalBorrow is 60. borrow rate 40%, revenueFee 10%.
            // yield is 10 (so half a year must have passed).
            // supplyRawInterest must become worth 89. totalSupply must become 109. BorrowedRawInterest must become 60.
            // borrowInterestFree must still be 10. supplyInterestFree still 20. totalBorrow 70.
            // supplyExchangePrice would have to go from 1 to 1,125 (+ 0.125). borrowExchangePrice from 1 to 1,2 (+0.2).
            // utilization is 60%. supplyRatio = 20 / 80 = 25% (only 80% of lenders receiving yield).
            // borrowRatio = 10 / 50 = 20% (only 83,333% of borrowers paying yield):
            // x of borrowers paying yield = 100% - (20 / (100 + 20)) = 100% - 16.6666666% = 83,333%.
            // ratioSupplyYield = 60% * 83,33333% * (100% + 20%) = 62,5%
            // supplyRate = (40% * (100% - 10%)) * = 36% * 62,5% = 22.5%
            // increase in supplyExchangePrice, assuming 100 as previous price.
            // 100 * 22,5% * 1/2 (half a year) = 0,1125.
            // cross-check supplyRawInterest worth = 80 * 1.1125 = 89. totalSupply worth = 89 + 20.
            // -------------- 1. calculate ratioSupplyYield --------------------------------
            // step1: utilization * supplyRatio (or actually part of lenders receiving yield)
            // temp_ => supplyRatio (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
            // if first bit 0 then ratio is supplyInterestFree / supplyWithInterest (supplyWithInterest is bigger)
            // else ratio is supplyWithInterest / supplyInterestFree (supplyInterestFree is bigger)
            temp_ = (exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_SUPPLY_RATIO) & X15;
            if (temp_ == 1) {
                // if no raw supply: no exchange price update needed
                // (if supplyRatio_ == 1 means there is only supplyInterestFree, as first bit is 1 and rest is 0)
                return (supplyExchangePrice_, borrowExchangePrice_);
            }
            // ratioSupplyYield precision is 1e27 as 100% for increased precision when supplyInterestFree > supplyWithInterest
            if (temp_ & 1 == 1) {
                // ratio is supplyWithInterest / supplyInterestFree (supplyInterestFree is bigger)
                temp_ = temp_ >> 1;
                // Note: case where temp_ == 0 (only supplyInterestFree, no yield) already covered by early return
                // in the if statement a little above.
                // based on above example but supplyRawInterest is 20, supplyInterestFree is 80. no fee.
                // supplyRawInterest must become worth 30. totalSupply must become 110.
                // supplyExchangePrice would have to go from 1 to 1,5. borrowExchangePrice from 1 to 1,2.
                // so ratioSupplyYield must come out as 2.5 (250%).
                // supplyRatio would be (20 * 10_000 / 80) = 2500. but must be inverted.
                temp_ = (1e27 * FOUR_DECIMALS) / temp_; // e.g. 1e31 / 2500 = 4e27. (* 1e27 for precision)
                // e.g. 5_000 * (1e27 + 4e27) / 1e27 = 25_000 (=250%).
                temp_ =
                    // utilization * (100% + 100% / supplyRatio)
                    (((exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_UTILIZATION) & X14) *
                        (1e27 + temp_)) / // extract utilization (max 16_383 so there is no way this can overflow).
                    (FOUR_DECIMALS);
                // max possible value of temp_ here is 16383 * (1e27 + 1e31) / 1e4 = ~1.64e31
            } else {
                // ratio is supplyInterestFree / supplyWithInterest (supplyWithInterest is bigger)
                temp_ = temp_ >> 1;
                // if temp_ == 0 then only supplyWithInterest => full yield. temp_ is already 0
                // e.g. 5_000 * 10_000 + (20 * 10_000 / 80) / 10_000 = 5000 * 12500 / 10000 = 6250 (=62.5%).
                temp_ =
                    // 1e27 * utilization * (100% + supplyRatio) / 100%
                    (1e27 *
                        ((exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_UTILIZATION) & X14) * // extract utilization (max 16_383 so there is no way this can overflow).
                        (FOUR_DECIMALS + temp_)) /
                    (FOUR_DECIMALS * FOUR_DECIMALS);
                // max possible temp_ value: 1e27 * 16383 * 2e4 / 1e8 = 3.2766e27
            }
            // from here temp_ => ratioSupplyYield (utilization * supplyRatio part) scaled by 1e27. max possible value ~1.64e31
            // step2 of ratioSupplyYield: add borrowRatio (only x% of borrowers paying yield)
            if (borrowRatio_ & 1 == 1) {
                // ratio is borrowWithInterest / borrowInterestFree (borrowInterestFree is bigger)
                borrowRatio_ = borrowRatio_ >> 1;
                // borrowRatio_ => x of total bororwers paying yield. scale to 1e27.
                // Note: case where borrowRatio_ == 0 (only borrowInterestFree, no yield) already covered
                // at the beginning of the method by early return if `borrowRatio_ == 1`.
                // based on above example but borrowRawInterest is 10, borrowInterestFree is 50. no fee. borrowRatio = 20%.
                // so only 16.66% of borrowers are paying yield. so the 100% - part of the formula is not needed.
                // x of borrowers paying yield = (borrowRatio / (100 + borrowRatio)) = 16.6666666%
                // borrowRatio_ => x of total bororwers paying yield. scale to 1e27.
                borrowRatio_ = (borrowRatio_ * 1e27) / (FOUR_DECIMALS + borrowRatio_);
                // max value here for borrowRatio_ is (1e31 / (1e4 + 1e4))= 5e26 (= 50% of borrowers paying yield).
            } else {
                // ratio is borrowInterestFree / borrowWithInterest (borrowWithInterest is bigger)
                borrowRatio_ = borrowRatio_ >> 1;
                // borrowRatio_ => x of total bororwers paying yield. scale to 1e27.
                // x of borrowers paying yield = 100% - (borrowRatio / (100 + borrowRatio)) = 100% - 16.6666666% = 83,333%.
                borrowRatio_ = (1e27 - ((borrowRatio_ * 1e27) / (FOUR_DECIMALS + borrowRatio_)));
                // borrowRatio can never be > 100%. so max subtraction can be 100% - 100% / 200%.
                // or if borrowRatio_ is 0 -> 100% - 0. or if borrowRatio_ is 1 -> 100% - 1 / 101.
                // max value here for borrowRatio_ is 1e27 - 0 = 1e27 (= 100% of borrowers paying yield).
            }
            // temp_ => ratioSupplyYield. scaled down from 1e25 = 1% each to normal percent precision 1e2 = 1%.
            // max nominator value is ~1.64e31 * 1e27 = 1.64e58. max result = 1.64e8
            temp_ = (FOUR_DECIMALS * temp_ * borrowRatio_) / 1e54;
            // 2. calculate supply rate
            // temp_ => supply rate (borrow rate  - revenueFee%) * ratioSupplyYield.
            // division part is done in next step to increase precision. (divided by 2x FOUR_DECIMALS, fee + borrowRate)
            // Note that all calculation divisions for supplyExchangePrice are rounded down.
            // Note supply rate can be bigger than the borrowRate, e.g. if there are only few lenders with interest
            // but more suppliers not earning interest.
            temp_ = ((exchangePricesAndConfig_ & X16) * // borrow rate
                temp_ * // ratioSupplyYield
                (FOUR_DECIMALS - ((exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_FEE) & X14))); // revenueFee
            // fee can not be > 100%. max possible = 65535 * ~1.64e8 * 1e4 =~1.074774e17.
            // 3. calculate increase in supply exchange price
            supplyExchangePrice_ += ((supplyExchangePrice_ * temp_ * secondsSinceLastUpdate_) /
                (SECONDS_PER_YEAR * FOUR_DECIMALS * FOUR_DECIMALS * FOUR_DECIMALS));
            // max possible nominator = max uint 64 * 1.074774e17 * max uint32 = ~8.52e45. Denominator can not be 0.
        }
    }
    ///////////////////////////////////////////////////////////////////////////
    //////////                     CALC REVENUE                       /////////
    ///////////////////////////////////////////////////////////////////////////
    /// @dev gets the `revenueAmount_` for a token given its' totalAmounts and exchangePricesAndConfig from storage
    /// and the current balance of the Fluid liquidity contract for the token.
    /// @param totalAmounts_ total amounts packed uint256 read from storage
    /// @param exchangePricesAndConfig_ exchange prices and config packed uint256 read from storage
    /// @param liquidityTokenBalance_   current balance of Liquidity contract (IERC20(token_).balanceOf(address(this)))
    /// @return revenueAmount_ collectable revenue amount
    function calcRevenue(
        uint256 totalAmounts_,
        uint256 exchangePricesAndConfig_,
        uint256 liquidityTokenBalance_
    ) internal view returns (uint256 revenueAmount_) {
        // @dev no need to super-optimize this method as it is only used by admin
        // calculate the new exchange prices based on earned interest
        (uint256 supplyExchangePrice_, uint256 borrowExchangePrice_) = calcExchangePrices(exchangePricesAndConfig_);
        // total supply = interest free + with interest converted from raw
        uint256 totalSupply_ = getTotalSupply(totalAmounts_, supplyExchangePrice_);
        if (totalSupply_ > 0) {
            // available revenue: balanceOf(token) + totalBorrowings - totalLendings.
            revenueAmount_ = liquidityTokenBalance_ + getTotalBorrow(totalAmounts_, borrowExchangePrice_);
            // ensure there is no possible case because of rounding etc. where this would revert,
            // explicitly check if >
            revenueAmount_ = revenueAmount_ > totalSupply_ ? revenueAmount_ - totalSupply_ : 0;
            // Note: if utilization > 100% (totalSupply < totalBorrow), then all the amount above 100% utilization
            // can only be revenue.
        } else {
            // if supply is 0, then rest of balance can be withdrawn as revenue so that no amounts get stuck
            revenueAmount_ = liquidityTokenBalance_;
        }
    }
    ///////////////////////////////////////////////////////////////////////////
    //////////                      CALC LIMITS                       /////////
    ///////////////////////////////////////////////////////////////////////////
    /// @dev calculates withdrawal limit before an operate execution:
    /// amount of user supply that must stay supplied (not amount that can be withdrawn).
    /// i.e. if user has supplied 100m and can withdraw 5M, this method returns the 95M, not the withdrawable amount 5M
    /// @param userSupplyData_ user supply data packed uint256 from storage
    /// @param userSupply_ current user supply amount already extracted from `userSupplyData_` and converted from BigMath
    /// @return currentWithdrawalLimit_ current withdrawal limit updated for expansion since last interaction.
    ///         returned value is in raw for with interest mode, normal amount for interest free mode!
    function calcWithdrawalLimitBeforeOperate(
        uint256 userSupplyData_,
        uint256 userSupply_
    ) internal view returns (uint256 currentWithdrawalLimit_) {
        // @dev must support handling the case where timestamp is 0 (config is set but no interactions yet).
        // first tx where timestamp is 0 will enter `if (lastWithdrawalLimit_ == 0)` because lastWithdrawalLimit_ is not set yet.
        // returning max withdrawal allowed, which is not exactly right but doesn't matter because the first interaction must be
        // a deposit anyway. Important is that it would not revert.
        // Note the first time a deposit brings the user supply amount to above the base withdrawal limit, the active limit
        // is the fully expanded limit immediately.
        // extract last set withdrawal limit
        uint256 lastWithdrawalLimit_ = (userSupplyData_ >>
            LiquiditySlotsLink.BITS_USER_SUPPLY_PREVIOUS_WITHDRAWAL_LIMIT) & X64;
        lastWithdrawalLimit_ =
            (lastWithdrawalLimit_ >> DEFAULT_EXPONENT_SIZE) <<
            (lastWithdrawalLimit_ & DEFAULT_EXPONENT_MASK);
        if (lastWithdrawalLimit_ == 0) {
            // withdrawal limit is not activated. Max withdrawal allowed
            return 0;
        }
        uint256 maxWithdrawableLimit_;
        uint256 temp_;
        unchecked {
            // extract max withdrawable percent of user supply and
            // calculate maximum withdrawable amount expandPercentage of user supply at full expansion duration elapsed
            // e.g.: if 10% expandPercentage, meaning 10% is withdrawable after full expandDuration has elapsed.
            // userSupply_ needs to be atleast 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            maxWithdrawableLimit_ =
                (((userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_EXPAND_PERCENT) & X14) * userSupply_) /
                FOUR_DECIMALS;
            // time elapsed since last withdrawal limit was set (in seconds)
            // @dev last process timestamp is guaranteed to exist for withdrawal, as a supply must have happened before.
            // last timestamp can not be > current timestamp
            temp_ =
                block.timestamp -
                ((userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_LAST_UPDATE_TIMESTAMP) & X33);
        }
        // calculate withdrawable amount of expandPercent that is elapsed of expandDuration.
        // e.g. if 60% of expandDuration has elapsed, then user should be able to withdraw 6% of user supply, down to 94%.
        // Note: no explicit check for this needed, it is covered by setting minWithdrawalLimit_ if needed.
        temp_ =
            (maxWithdrawableLimit_ * temp_) /
            // extract expand duration: After this, decrement won't happen (user can withdraw 100% of withdraw limit)
            ((userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_EXPAND_DURATION) & X24); // expand duration can never be 0
        // calculate expanded withdrawal limit: last withdrawal limit - withdrawable amount.
        // Note: withdrawable amount here can grow bigger than userSupply if timeElapsed is a lot bigger than expandDuration,
        // which would cause the subtraction `lastWithdrawalLimit_ - withdrawableAmount_` to revert. In that case, set 0
        // which will cause minimum (fully expanded) withdrawal limit to be set in lines below.
        unchecked {
            // underflow explicitly checked & handled
            currentWithdrawalLimit_ = lastWithdrawalLimit_ > temp_ ? lastWithdrawalLimit_ - temp_ : 0;
            // calculate minimum withdrawal limit: minimum amount of user supply that must stay supplied at full expansion.
            // subtraction can not underflow as maxWithdrawableLimit_ is a percentage amount (<=100%) of userSupply_
            temp_ = userSupply_ - maxWithdrawableLimit_;
        }
        // if withdrawal limit is decreased below minimum then set minimum
        // (e.g. when more than expandDuration time has elapsed)
        if (temp_ > currentWithdrawalLimit_) {
            currentWithdrawalLimit_ = temp_;
        }
    }
    /// @dev calculates withdrawal limit after an operate execution:
    /// amount of user supply that must stay supplied (not amount that can be withdrawn).
    /// i.e. if user has supplied 100m and can withdraw 5M, this method returns the 95M, not the withdrawable amount 5M
    /// @param userSupplyData_ user supply data packed uint256 from storage
    /// @param userSupply_ current user supply amount already extracted from `userSupplyData_` and added / subtracted with the executed operate amount
    /// @param newWithdrawalLimit_ current withdrawal limit updated for expansion since last interaction, result from `calcWithdrawalLimitBeforeOperate`
    /// @return withdrawalLimit_ updated withdrawal limit that should be written to storage. returned value is in
    ///                          raw for with interest mode, normal amount for interest free mode!
    function calcWithdrawalLimitAfterOperate(
        uint256 userSupplyData_,
        uint256 userSupply_,
        uint256 newWithdrawalLimit_
    ) internal pure returns (uint256) {
        // temp_ => base withdrawal limit. below this, maximum withdrawals are allowed
        uint256 temp_ = (userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_BASE_WITHDRAWAL_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        // if user supply is below base limit then max withdrawals are allowed
        if (userSupply_ < temp_) {
            return 0;
        }
        // temp_ => withdrawal limit expandPercent (is in 1e2 decimals)
        temp_ = (userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_EXPAND_PERCENT) & X14;
        unchecked {
            // temp_ => minimum withdrawal limit: userSupply - max withdrawable limit (userSupply * expandPercent))
            // userSupply_ needs to be atleast 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            // subtraction can not underflow as maxWithdrawableLimit_ is a percentage amount (<=100%) of userSupply_
            temp_ = userSupply_ - ((userSupply_ * temp_) / FOUR_DECIMALS);
        }
        // if new (before operation) withdrawal limit is less than minimum limit then set minimum limit.
        // e.g. can happen on new deposits. withdrawal limit is instantly fully expanded in a scenario where
        // increased deposit amount outpaces withrawals.
        if (temp_ > newWithdrawalLimit_) {
            return temp_;
        }
        return newWithdrawalLimit_;
    }
    /// @dev calculates borrow limit before an operate execution:
    /// total amount user borrow can reach (not borrowable amount in current operation).
    /// i.e. if user has borrowed 50M and can still borrow 5M, this method returns the total 55M, not the borrowable amount 5M
    /// @param userBorrowData_ user borrow data packed uint256 from storage
    /// @param userBorrow_ current user borrow amount already extracted from `userBorrowData_`
    /// @return currentBorrowLimit_ current borrow limit updated for expansion since last interaction. returned value is in
    ///                             raw for with interest mode, normal amount for interest free mode!
    function calcBorrowLimitBeforeOperate(
        uint256 userBorrowData_,
        uint256 userBorrow_
    ) internal view returns (uint256 currentBorrowLimit_) {
        // @dev must support handling the case where timestamp is 0 (config is set but no interactions yet) -> base limit.
        // first tx where timestamp is 0 will enter `if (maxExpandedBorrowLimit_ < baseBorrowLimit_)` because `userBorrow_` and thus
        // `maxExpansionLimit_` and thus `maxExpandedBorrowLimit_` is 0 and `baseBorrowLimit_` can not be 0.
        // temp_ = extract borrow expand percent (is in 1e2 decimals)
        uint256 temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_EXPAND_PERCENT) & X14;
        uint256 maxExpansionLimit_;
        uint256 maxExpandedBorrowLimit_;
        unchecked {
            // calculate max expansion limit: Max amount limit can expand to since last interaction
            // userBorrow_ needs to be atleast 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            maxExpansionLimit_ = ((userBorrow_ * temp_) / FOUR_DECIMALS);
            // calculate max borrow limit: Max point limit can increase to since last interaction
            maxExpandedBorrowLimit_ = userBorrow_ + maxExpansionLimit_;
        }
        // currentBorrowLimit_ = extract base borrow limit
        currentBorrowLimit_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_BASE_BORROW_LIMIT) & X18;
        currentBorrowLimit_ =
            (currentBorrowLimit_ >> DEFAULT_EXPONENT_SIZE) <<
            (currentBorrowLimit_ & DEFAULT_EXPONENT_MASK);
        if (maxExpandedBorrowLimit_ < currentBorrowLimit_) {
            return currentBorrowLimit_;
        }
        // time elapsed since last borrow limit was set (in seconds)
        unchecked {
            // temp_ = timeElapsed_ (last timestamp can not be > current timestamp)
            temp_ =
                block.timestamp -
                ((userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_LAST_UPDATE_TIMESTAMP) & X33); // extract last update timestamp
        }
        // currentBorrowLimit_ = expandedBorrowableAmount + extract last set borrow limit
        currentBorrowLimit_ =
            // calculate borrow limit expansion since last interaction for `expandPercent` that is elapsed of `expandDuration`.
            // divisor is extract expand duration (after this, full expansion to expandPercentage happened).
            ((maxExpansionLimit_ * temp_) /
                ((userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_EXPAND_DURATION) & X24)) + // expand duration can never be 0
            //  extract last set borrow limit
            BigMathMinified.fromBigNumber(
                (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_PREVIOUS_BORROW_LIMIT) & X64,
                DEFAULT_EXPONENT_SIZE,
                DEFAULT_EXPONENT_MASK
            );
        // if timeElapsed is bigger than expandDuration, new borrow limit would be > max expansion,
        // so set to `maxExpandedBorrowLimit_` in that case.
        // also covers the case where last process timestamp = 0 (timeElapsed would simply be very big)
        if (currentBorrowLimit_ > maxExpandedBorrowLimit_) {
            currentBorrowLimit_ = maxExpandedBorrowLimit_;
        }
        // temp_ = extract hard max borrow limit. Above this user can never borrow (not expandable above)
        temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_MAX_BORROW_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        if (currentBorrowLimit_ > temp_) {
            currentBorrowLimit_ = temp_;
        }
    }
    /// @dev calculates borrow limit after an operate execution:
    /// total amount user borrow can reach (not borrowable amount in current operation).
    /// i.e. if user has borrowed 50M and can still borrow 5M, this method returns the total 55M, not the borrowable amount 5M
    /// @param userBorrowData_ user borrow data packed uint256 from storage
    /// @param userBorrow_ current user borrow amount already extracted from `userBorrowData_` and added / subtracted with the executed operate amount
    /// @param newBorrowLimit_ current borrow limit updated for expansion since last interaction, result from `calcBorrowLimitBeforeOperate`
    /// @return borrowLimit_ updated borrow limit that should be written to storage.
    ///                      returned value is in raw for with interest mode, normal amount for interest free mode!
    function calcBorrowLimitAfterOperate(
        uint256 userBorrowData_,
        uint256 userBorrow_,
        uint256 newBorrowLimit_
    ) internal pure returns (uint256 borrowLimit_) {
        // temp_ = extract borrow expand percent
        uint256 temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_EXPAND_PERCENT) & X14; // (is in 1e2 decimals)
        unchecked {
            // borrowLimit_ = calculate maximum borrow limit at full expansion.
            // userBorrow_ needs to be at least 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            borrowLimit_ = userBorrow_ + ((userBorrow_ * temp_) / FOUR_DECIMALS);
        }
        // temp_ = extract base borrow limit
        temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_BASE_BORROW_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        if (borrowLimit_ < temp_) {
            // below base limit, borrow limit is always base limit
            return temp_;
        }
        // temp_ = extract hard max borrow limit. Above this user can never borrow (not expandable above)
        temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_MAX_BORROW_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        // make sure fully expanded borrow limit is not above hard max borrow limit
        if (borrowLimit_ > temp_) {
            borrowLimit_ = temp_;
        }
        // if new borrow limit (from before operate) is > max borrow limit, set max borrow limit.
        // (e.g. on a repay shrinking instantly to fully expanded borrow limit from new borrow amount. shrinking is instant)
        if (newBorrowLimit_ > borrowLimit_) {
            return borrowLimit_;
        }
        return newBorrowLimit_;
    }
    ///////////////////////////////////////////////////////////////////////////
    //////////                      CALC RATES                        /////////
    ///////////////////////////////////////////////////////////////////////////
    /// @dev Calculates new borrow rate from utilization for a token
    /// @param rateData_ rate data packed uint256 from storage for the token
    /// @param utilization_ totalBorrow / totalSupply. 1e4 = 100% utilization
    /// @return rate_ rate for that particular token in 1e2 precision (e.g. 5% rate = 500)
    function calcBorrowRateFromUtilization(uint256 rateData_, uint256 utilization_) internal returns (uint256 rate_) {
        // extract rate version: 4 bits (0xF) starting from bit 0
        uint256 rateVersion_ = (rateData_ & 0xF);
        if (rateVersion_ == 1) {
            rate_ = calcRateV1(rateData_, utilization_);
        } else if (rateVersion_ == 2) {
            rate_ = calcRateV2(rateData_, utilization_);
        } else {
            revert FluidLiquidityCalcsError(ErrorTypes.LiquidityCalcs__UnsupportedRateVersion);
        }
        if (rate_ > X16) {
            // hard cap for borrow rate at maximum value 16 bits (65535) to make sure it does not overflow storage space.
            // this is unlikely to ever happen if configs stay within expected levels.
            rate_ = X16;
            // emit event to more easily become aware
            emit BorrowRateMaxCap();
        }
    }
    /// @dev calculates the borrow rate based on utilization for rate data version 1 (with one kink) in 1e2 precision
    /// @param rateData_ rate data packed uint256 from storage for the token
    /// @param utilization_  in 1e2 (100% = 1e4)
    /// @return rate_ rate in 1e2 precision
    function calcRateV1(uint256 rateData_, uint256 utilization_) internal pure returns (uint256 rate_) {
        /// For rate v1 (one kink) ------------------------------------------------------
        /// Next 16  bits =>  4 - 19 => Rate at utilization 0% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  20- 35 => Utilization at kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  36- 51 => Rate at utilization kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  52- 67 => Rate at utilization 100% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Last 188 bits =>  68-255 => blank, might come in use in future
        // y = mx + c.
        // y is borrow rate
        // x is utilization
        // m = slope (m can also be negative for declining rates)
        // c is constant (c can be negative)
        uint256 y1_;
        uint256 y2_;
        uint256 x1_;
        uint256 x2_;
        // extract kink1: 16 bits (0xFFFF) starting from bit 20
        // kink is in 1e2, same as utilization, so no conversion needed for direct comparison of the two
        uint256 kink1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_UTILIZATION_AT_KINK) & X16;
        if (utilization_ < kink1_) {
            // if utilization is less than kink
            y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_ZERO) & X16;
            y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_KINK) & X16;
            x1_ = 0; // 0%
            x2_ = kink1_;
        } else {
            // else utilization is greater than kink
            y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_KINK) & X16;
            y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_MAX) & X16;
            x1_ = kink1_;
            x2_ = FOUR_DECIMALS; // 100%
        }
        int256 constant_;
        int256 slope_;
        unchecked {
            // calculating slope with twelve decimal precision. m = (y2 - y1) / (x2 - x1).
            // utilization of x2 can not be <= utilization of x1 (so no underflow or 0 divisor)
            // y is in 1e2 so can not overflow when multiplied with TWELVE_DECIMALS
            slope_ = (int256(y2_ - y1_) * int256(TWELVE_DECIMALS)) / int256((x2_ - x1_));
            // calculating constant at 12 decimal precision. slope is already in 12 decimal hence only multiple with y1. c = y - mx.
            // maximum y1_ value is 65535. 65535 * 1e12 can not overflow int256
            // maximum slope is 65535 - 0 * TWELVE_DECIMALS / 1 = 65535 * 1e12;
            // maximum x1_ is 100% (9_999 actually) => slope_ * x1_ can not overflow int256
            // subtraction most extreme case would be  0 - max value slope_ * x1_ => can not underflow int256
            constant_ = int256(y1_ * TWELVE_DECIMALS) - (slope_ * int256(x1_));
            // calculating new borrow rate
            // - slope_ max value is 65535 * 1e12,
            // - utilization max value is let's say 500% (extreme case where borrow rate increases borrow amount without new supply)
            // - constant max value is 65535 * 1e12
            // so max values are 65535 * 1e12 * 50_000 + 65535 * 1e12 -> 3.2768*10^21, which easily fits int256
            // divisor TWELVE_DECIMALS can not be 0
            slope_ = (slope_ * int256(utilization_)) + constant_; // reusing `slope_` as variable for gas savings
            if (slope_ < 0) {
                revert FluidLiquidityCalcsError(ErrorTypes.LiquidityCalcs__BorrowRateNegative);
            }
            rate_ = uint256(slope_) / TWELVE_DECIMALS;
        }
    }
    /// @dev calculates the borrow rate based on utilization for rate data version 2 (with two kinks) in 1e4 precision
    /// @param rateData_ rate data packed uint256 from storage for the token
    /// @param utilization_  in 1e2 (100% = 1e4)
    /// @return rate_ rate in 1e4 precision
    function calcRateV2(uint256 rateData_, uint256 utilization_) internal pure returns (uint256 rate_) {
        /// For rate v2 (two kinks) -----------------------------------------------------
        /// Next 16  bits =>  4 - 19 => Rate at utilization 0% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  20- 35 => Utilization at kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  36- 51 => Rate at utilization kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  52- 67 => Utilization at kink2 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  68- 83 => Rate at utilization kink2 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  84- 99 => Rate at utilization 100% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Last 156 bits => 100-255 => blank, might come in use in future
        // y = mx + c.
        // y is borrow rate
        // x is utilization
        // m = slope (m can also be negative for declining rates)
        // c is constant (c can be negative)
        uint256 y1_;
        uint256 y2_;
        uint256 x1_;
        uint256 x2_;
        // extract kink1: 16 bits (0xFFFF) starting from bit 20
        // kink is in 1e2, same as utilization, so no conversion needed for direct comparison of the two
        uint256 kink1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_UTILIZATION_AT_KINK1) & X16;
        if (utilization_ < kink1_) {
            // if utilization is less than kink1
            y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_ZERO) & X16;
            y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK1) & X16;
            x1_ = 0; // 0%
            x2_ = kink1_;
        } else {
            // extract kink2: 16 bits (0xFFFF) starting from bit 52
            uint256 kink2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_UTILIZATION_AT_KINK2) & X16;
            if (utilization_ < kink2_) {
                // if utilization is less than kink2
                y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK1) & X16;
                y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK2) & X16;
                x1_ = kink1_;
                x2_ = kink2_;
            } else {
                // else utilization is greater than kink2
                y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK2) & X16;
                y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_MAX) & X16;
                x1_ = kink2_;
                x2_ = FOUR_DECIMALS;
            }
        }
        int256 constant_;
        int256 slope_;
        unchecked {
            // calculating slope with twelve decimal precision. m = (y2 - y1) / (x2 - x1).
            // utilization of x2 can not be <= utilization of x1 (so no underflow or 0 divisor)
            // y is in 1e2 so can not overflow when multiplied with TWELVE_DECIMALS
            slope_ = (int256(y2_ - y1_) * int256(TWELVE_DECIMALS)) / int256((x2_ - x1_));
            // calculating constant at 12 decimal precision. slope is already in 12 decimal hence only multiple with y1. c = y - mx.
            // maximum y1_ value is 65535. 65535 * 1e12 can not overflow int256
            // maximum slope is 65535 - 0 * TWELVE_DECIMALS / 1 = 65535 * 1e12;
            // maximum x1_ is 100% (9_999 actually) => slope_ * x1_ can not overflow int256
            // subtraction most extreme case would be  0 - max value slope_ * x1_ => can not underflow int256
            constant_ = int256(y1_ * TWELVE_DECIMALS) - (slope_ * int256(x1_));
            // calculating new borrow rate
            // - slope_ max value is 65535 * 1e12,
            // - utilization max value is let's say 500% (extreme case where borrow rate increases borrow amount without new supply)
            // - constant max value is 65535 * 1e12
            // so max values are 65535 * 1e12 * 50_000 + 65535 * 1e12 -> 3.2768*10^21, which easily fits int256
            // divisor TWELVE_DECIMALS can not be 0
            slope_ = (slope_ * int256(utilization_)) + constant_; // reusing `slope_` as variable for gas savings
            if (slope_ < 0) {
                revert FluidLiquidityCalcsError(ErrorTypes.LiquidityCalcs__BorrowRateNegative);
            }
            rate_ = uint256(slope_) / TWELVE_DECIMALS;
        }
    }
    /// @dev reads the total supply out of Liquidity packed storage `totalAmounts_` for `supplyExchangePrice_`
    function getTotalSupply(
        uint256 totalAmounts_,
        uint256 supplyExchangePrice_
    ) internal pure returns (uint256 totalSupply_) {
        // totalSupply_ => supplyInterestFree
        totalSupply_ = (totalAmounts_ >> LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_SUPPLY_INTEREST_FREE) & X64;
        totalSupply_ = (totalSupply_ >> DEFAULT_EXPONENT_SIZE) << (totalSupply_ & DEFAULT_EXPONENT_MASK);
        uint256 totalSupplyRaw_ = totalAmounts_ & X64; // no shifting as supplyRaw is first 64 bits
        totalSupplyRaw_ = (totalSupplyRaw_ >> DEFAULT_EXPONENT_SIZE) << (totalSupplyRaw_ & DEFAULT_EXPONENT_MASK);
        // totalSupply = supplyInterestFree + supplyRawInterest normalized from raw
        totalSupply_ += ((totalSupplyRaw_ * supplyExchangePrice_) / EXCHANGE_PRICES_PRECISION);
    }
    /// @dev reads the total borrow out of Liquidity packed storage `totalAmounts_` for `borrowExchangePrice_`
    function getTotalBorrow(
        uint256 totalAmounts_,
        uint256 borrowExchangePrice_
    ) internal pure returns (uint256 totalBorrow_) {
        // totalBorrow_ => borrowInterestFree
        // no & mask needed for borrow interest free as it occupies the last bits in the storage slot
        totalBorrow_ = (totalAmounts_ >> LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_BORROW_INTEREST_FREE);
        totalBorrow_ = (totalBorrow_ >> DEFAULT_EXPONENT_SIZE) << (totalBorrow_ & DEFAULT_EXPONENT_MASK);
        uint256 totalBorrowRaw_ = (totalAmounts_ >> LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_BORROW_WITH_INTEREST) & X64;
        totalBorrowRaw_ = (totalBorrowRaw_ >> DEFAULT_EXPONENT_SIZE) << (totalBorrowRaw_ & DEFAULT_EXPONENT_MASK);
        // totalBorrow = borrowInterestFree + borrowRawInterest normalized from raw
        totalBorrow_ += ((totalBorrowRaw_ * borrowExchangePrice_) / EXCHANGE_PRICES_PRECISION);
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
/// @notice library that helps in reading / working with storage slot data of Fluid Liquidity.
/// @dev as all data for Fluid Liquidity is internal, any data must be fetched directly through manual
/// slot reading through this library or, if gas usage is less important, through the FluidLiquidityResolver.
library LiquiditySlotsLink {
    /// @dev storage slot for status at Liquidity
    uint256 internal constant LIQUIDITY_STATUS_SLOT = 1;
    /// @dev storage slot for auths mapping at Liquidity
    uint256 internal constant LIQUIDITY_AUTHS_MAPPING_SLOT = 2;
    /// @dev storage slot for guardians mapping at Liquidity
    uint256 internal constant LIQUIDITY_GUARDIANS_MAPPING_SLOT = 3;
    /// @dev storage slot for user class mapping at Liquidity
    uint256 internal constant LIQUIDITY_USER_CLASS_MAPPING_SLOT = 4;
    /// @dev storage slot for exchangePricesAndConfig mapping at Liquidity
    uint256 internal constant LIQUIDITY_EXCHANGE_PRICES_MAPPING_SLOT = 5;
    /// @dev storage slot for rateData mapping at Liquidity
    uint256 internal constant LIQUIDITY_RATE_DATA_MAPPING_SLOT = 6;
    /// @dev storage slot for totalAmounts mapping at Liquidity
    uint256 internal constant LIQUIDITY_TOTAL_AMOUNTS_MAPPING_SLOT = 7;
    /// @dev storage slot for user supply double mapping at Liquidity
    uint256 internal constant LIQUIDITY_USER_SUPPLY_DOUBLE_MAPPING_SLOT = 8;
    /// @dev storage slot for user borrow double mapping at Liquidity
    uint256 internal constant LIQUIDITY_USER_BORROW_DOUBLE_MAPPING_SLOT = 9;
    /// @dev storage slot for listed tokens array at Liquidity
    uint256 internal constant LIQUIDITY_LISTED_TOKENS_ARRAY_SLOT = 10;
    /// @dev storage slot for listed tokens array at Liquidity
    uint256 internal constant LIQUIDITY_CONFIGS2_MAPPING_SLOT = 11;
    // --------------------------------
    // @dev stacked uint256 storage slots bits position data for each:
    // ExchangePricesAndConfig
    uint256 internal constant BITS_EXCHANGE_PRICES_BORROW_RATE = 0;
    uint256 internal constant BITS_EXCHANGE_PRICES_FEE = 16;
    uint256 internal constant BITS_EXCHANGE_PRICES_UTILIZATION = 30;
    uint256 internal constant BITS_EXCHANGE_PRICES_UPDATE_THRESHOLD = 44;
    uint256 internal constant BITS_EXCHANGE_PRICES_LAST_TIMESTAMP = 58;
    uint256 internal constant BITS_EXCHANGE_PRICES_SUPPLY_EXCHANGE_PRICE = 91;
    uint256 internal constant BITS_EXCHANGE_PRICES_BORROW_EXCHANGE_PRICE = 155;
    uint256 internal constant BITS_EXCHANGE_PRICES_SUPPLY_RATIO = 219;
    uint256 internal constant BITS_EXCHANGE_PRICES_BORROW_RATIO = 234;
    uint256 internal constant BITS_EXCHANGE_PRICES_USES_CONFIGS2 = 249;
    // RateData:
    uint256 internal constant BITS_RATE_DATA_VERSION = 0;
    // RateData: V1
    uint256 internal constant BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_ZERO = 4;
    uint256 internal constant BITS_RATE_DATA_V1_UTILIZATION_AT_KINK = 20;
    uint256 internal constant BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_KINK = 36;
    uint256 internal constant BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_MAX = 52;
    // RateData: V2
    uint256 internal constant BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_ZERO = 4;
    uint256 internal constant BITS_RATE_DATA_V2_UTILIZATION_AT_KINK1 = 20;
    uint256 internal constant BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK1 = 36;
    uint256 internal constant BITS_RATE_DATA_V2_UTILIZATION_AT_KINK2 = 52;
    uint256 internal constant BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK2 = 68;
    uint256 internal constant BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_MAX = 84;
    // TotalAmounts
    uint256 internal constant BITS_TOTAL_AMOUNTS_SUPPLY_WITH_INTEREST = 0;
    uint256 internal constant BITS_TOTAL_AMOUNTS_SUPPLY_INTEREST_FREE = 64;
    uint256 internal constant BITS_TOTAL_AMOUNTS_BORROW_WITH_INTEREST = 128;
    uint256 internal constant BITS_TOTAL_AMOUNTS_BORROW_INTEREST_FREE = 192;
    // UserSupplyData
    uint256 internal constant BITS_USER_SUPPLY_MODE = 0;
    uint256 internal constant BITS_USER_SUPPLY_AMOUNT = 1;
    uint256 internal constant BITS_USER_SUPPLY_PREVIOUS_WITHDRAWAL_LIMIT = 65;
    uint256 internal constant BITS_USER_SUPPLY_LAST_UPDATE_TIMESTAMP = 129;
    uint256 internal constant BITS_USER_SUPPLY_EXPAND_PERCENT = 162;
    uint256 internal constant BITS_USER_SUPPLY_EXPAND_DURATION = 176;
    uint256 internal constant BITS_USER_SUPPLY_BASE_WITHDRAWAL_LIMIT = 200;
    uint256 internal constant BITS_USER_SUPPLY_IS_PAUSED = 255;
    // UserBorrowData
    uint256 internal constant BITS_USER_BORROW_MODE = 0;
    uint256 internal constant BITS_USER_BORROW_AMOUNT = 1;
    uint256 internal constant BITS_USER_BORROW_PREVIOUS_BORROW_LIMIT = 65;
    uint256 internal constant BITS_USER_BORROW_LAST_UPDATE_TIMESTAMP = 129;
    uint256 internal constant BITS_USER_BORROW_EXPAND_PERCENT = 162;
    uint256 internal constant BITS_USER_BORROW_EXPAND_DURATION = 176;
    uint256 internal constant BITS_USER_BORROW_BASE_BORROW_LIMIT = 200;
    uint256 internal constant BITS_USER_BORROW_MAX_BORROW_LIMIT = 218;
    uint256 internal constant BITS_USER_BORROW_IS_PAUSED = 255;
    // Configs2
    uint256 internal constant BITS_CONFIGS2_MAX_UTILIZATION = 0;
    // --------------------------------
    /// @notice Calculating the slot ID for Liquidity contract for single mapping at `slot_` for `key_`
    function calculateMappingStorageSlot(uint256 slot_, address key_) internal pure returns (bytes32) {
        return keccak256(abi.encode(key_, slot_));
    }
    /// @notice Calculating the slot ID for Liquidity contract for double mapping at `slot_` for `key1_` and `key2_`
    function calculateDoubleMappingStorageSlot(
        uint256 slot_,
        address key1_,
        address key2_
    ) internal pure returns (bytes32) {
        bytes32 intermediateSlot_ = keccak256(abi.encode(key1_, slot_));
        return keccak256(abi.encode(key2_, intermediateSlot_));
    }
}
// SPDX-License-Identifier: MIT OR Apache-2.0
pragma solidity 0.8.21;
import { LibsErrorTypes as ErrorTypes } from "./errorTypes.sol";
/// @notice provides minimalistic methods for safe transfers, e.g. ERC20 safeTransferFrom
library SafeTransfer {
    uint256 internal constant MAX_NATIVE_TRANSFER_GAS = 20000; // pass max. 20k gas for native transfers
    error FluidSafeTransferError(uint256 errorId_);
    /// @dev Transfer `amount_` of `token_` from `from_` to `to_`, spending the approval given by `from_` to the
    /// calling contract. If `token_` returns no value, non-reverting calls are assumed to be successful.
    /// Minimally modified from Solmate SafeTransferLib (address as input param for token, Custom Error):
    /// https://github.com/transmissions11/solmate/blob/50e15bb566f98b7174da9b0066126a4c3e75e0fd/src/utils/SafeTransferLib.sol#L31-L63
    function safeTransferFrom(address token_, address from_, address to_, uint256 amount_) internal {
        bool success_;
        /// @solidity memory-safe-assembly
        assembly {
            // Get a pointer to some free memory.
            let freeMemoryPointer := mload(0x40)
            // Write the abi-encoded calldata into memory, beginning with the function selector.
            mstore(freeMemoryPointer, 0x23b872dd00000000000000000000000000000000000000000000000000000000)
            mstore(add(freeMemoryPointer, 4), and(from_, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "from_" argument.
            mstore(add(freeMemoryPointer, 36), and(to_, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "to_" argument.
            mstore(add(freeMemoryPointer, 68), amount_) // Append the "amount_" argument. Masking not required as it's a full 32 byte type.
            success_ := and(
                // Set success to whether the call reverted, if not we check it either
                // returned exactly 1 (can't just be non-zero data), or had no return data.
                or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                // We use 100 because the length of our calldata totals up like so: 4 + 32 * 3.
                // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                // Counterintuitively, this call must be positioned second to the or() call in the
                // surrounding and() call or else returndatasize() will be zero during the computation.
                call(gas(), token_, 0, freeMemoryPointer, 100, 0, 32)
            )
        }
        if (!success_) {
            revert FluidSafeTransferError(ErrorTypes.SafeTransfer__TransferFromFailed);
        }
    }
    /// @dev Transfer `amount_` of `token_` to `to_`.
    /// If `token_` returns no value, non-reverting calls are assumed to be successful.
    /// Minimally modified from Solmate SafeTransferLib (address as input param for token, Custom Error):
    /// https://github.com/transmissions11/solmate/blob/50e15bb566f98b7174da9b0066126a4c3e75e0fd/src/utils/SafeTransferLib.sol#L65-L95
    function safeTransfer(address token_, address to_, uint256 amount_) internal {
        bool success_;
        /// @solidity memory-safe-assembly
        assembly {
            // Get a pointer to some free memory.
            let freeMemoryPointer := mload(0x40)
            // Write the abi-encoded calldata into memory, beginning with the function selector.
            mstore(freeMemoryPointer, 0xa9059cbb00000000000000000000000000000000000000000000000000000000)
            mstore(add(freeMemoryPointer, 4), and(to_, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "to_" argument.
            mstore(add(freeMemoryPointer, 36), amount_) // Append the "amount_" argument. Masking not required as it's a full 32 byte type.
            success_ := and(
                // Set success to whether the call reverted, if not we check it either
                // returned exactly 1 (can't just be non-zero data), or had no return data.
                or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                // Counterintuitively, this call must be positioned second to the or() call in the
                // surrounding and() call or else returndatasize() will be zero during the computation.
                call(gas(), token_, 0, freeMemoryPointer, 68, 0, 32)
            )
        }
        if (!success_) {
            revert FluidSafeTransferError(ErrorTypes.SafeTransfer__TransferFailed);
        }
    }
    /// @dev Transfer `amount_` of ` native token to `to_`.
    /// Minimally modified from Solmate SafeTransferLib (Custom Error):
    /// https://github.com/transmissions11/solmate/blob/50e15bb566f98b7174da9b0066126a4c3e75e0fd/src/utils/SafeTransferLib.sol#L15-L25
    function safeTransferNative(address to_, uint256 amount_) internal {
        bool success_;
        /// @solidity memory-safe-assembly
        assembly {
            // Transfer the ETH and store if it succeeded or not. Pass limited gas
            success_ := call(MAX_NATIVE_TRANSFER_GAS, to_, amount_, 0, 0, 0, 0)
        }
        if (!success_) {
            revert FluidSafeTransferError(ErrorTypes.SafeTransfer__TransferFailed);
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
/// @notice implements a method to read uint256 data from storage at a bytes32 storage slot key.
contract StorageRead {
    function readFromStorage(bytes32 slot_) public view returns (uint256 result_) {
        assembly {
            result_ := sload(slot_) // read value from the storage slot
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
abstract contract Structs {
    struct AddressBool {
        address addr;
        bool value;
    }
    struct AddressUint256 {
        address addr;
        uint256 value;
    }
    /// @notice struct to set borrow rate data for version 1
    struct RateDataV1Params {
        ///
        /// @param token for rate data
        address token;
        ///
        /// @param kink in borrow rate. in 1e2: 100% = 10_000; 1% = 100
        /// utilization below kink usually means slow increase in rate, once utilization is above kink borrow rate increases fast
        uint256 kink;
        ///
        /// @param rateAtUtilizationZero desired borrow rate when utilization is zero. in 1e2: 100% = 10_000; 1% = 100
        /// i.e. constant minimum borrow rate
        /// e.g. at utilization = 0.01% rate could still be at least 4% (rateAtUtilizationZero would be 400 then)
        uint256 rateAtUtilizationZero;
        ///
        /// @param rateAtUtilizationKink borrow rate when utilization is at kink. in 1e2: 100% = 10_000; 1% = 100
        /// e.g. when rate should be 7% at kink then rateAtUtilizationKink would be 700
        uint256 rateAtUtilizationKink;
        ///
        /// @param rateAtUtilizationMax borrow rate when utilization is maximum at 100%. in 1e2: 100% = 10_000; 1% = 100
        /// e.g. when rate should be 125% at 100% then rateAtUtilizationMax would be 12_500
        uint256 rateAtUtilizationMax;
    }
    /// @notice struct to set borrow rate data for version 2
    struct RateDataV2Params {
        ///
        /// @param token for rate data
        address token;
        ///
        /// @param kink1 first kink in borrow rate. in 1e2: 100% = 10_000; 1% = 100
        /// utilization below kink 1 usually means slow increase in rate, once utilization is above kink 1 borrow rate increases faster
        uint256 kink1;
        ///
        /// @param kink2 second kink in borrow rate. in 1e2: 100% = 10_000; 1% = 100
        /// utilization below kink 2 usually means slow / medium increase in rate, once utilization is above kink 2 borrow rate increases fast
        uint256 kink2;
        ///
        /// @param rateAtUtilizationZero desired borrow rate when utilization is zero. in 1e2: 100% = 10_000; 1% = 100
        /// i.e. constant minimum borrow rate
        /// e.g. at utilization = 0.01% rate could still be at least 4% (rateAtUtilizationZero would be 400 then)
        uint256 rateAtUtilizationZero;
        ///
        /// @param rateAtUtilizationKink1 desired borrow rate when utilization is at first kink. in 1e2: 100% = 10_000; 1% = 100
        /// e.g. when rate should be 7% at first kink then rateAtUtilizationKink would be 700
        uint256 rateAtUtilizationKink1;
        ///
        /// @param rateAtUtilizationKink2 desired borrow rate when utilization is at second kink. in 1e2: 100% = 10_000; 1% = 100
        /// e.g. when rate should be 7% at second kink then rateAtUtilizationKink would be 1_200
        uint256 rateAtUtilizationKink2;
        ///
        /// @param rateAtUtilizationMax desired borrow rate when utilization is maximum at 100%. in 1e2: 100% = 10_000; 1% = 100
        /// e.g. when rate should be 125% at 100% then rateAtUtilizationMax would be 12_500
        uint256 rateAtUtilizationMax;
    }
    /// @notice struct to set token config
    struct TokenConfig {
        ///
        /// @param token address
        address token;
        ///
        /// @param fee charges on borrower's interest. in 1e2: 100% = 10_000; 1% = 100
        uint256 fee;
        ///
        /// @param threshold on when to update the storage slot. in 1e2: 100% = 10_000; 1% = 100
        uint256 threshold;
        ///
        /// @param maxUtilization maximum allowed utilization. in 1e2: 100% = 10_000; 1% = 100
        ///                       set to 100% to disable and have default limit of 100% (avoiding SLOAD).
        uint256 maxUtilization;
    }
    /// @notice struct to set user supply & withdrawal config
    struct UserSupplyConfig {
        ///
        /// @param user address
        address user;
        ///
        /// @param token address
        address token;
        ///
        /// @param mode: 0 = without interest. 1 = with interest
        uint8 mode;
        ///
        /// @param expandPercent withdrawal limit expand percent. in 1e2: 100% = 10_000; 1% = 100
        /// Also used to calculate rate at which withdrawal limit should decrease (instant).
        uint256 expandPercent;
        ///
        /// @param expandDuration withdrawal limit expand duration in seconds.
        /// used to calculate rate together with expandPercent
        uint256 expandDuration;
        ///
        /// @param baseWithdrawalLimit base limit, below this, user can withdraw the entire amount.
        /// amount in raw (to be multiplied with exchange price) or normal depends on configured mode in user config for the token:
        /// with interest -> raw, without interest -> normal
        uint256 baseWithdrawalLimit;
    }
    /// @notice struct to set user borrow & payback config
    struct UserBorrowConfig {
        ///
        /// @param user address
        address user;
        ///
        /// @param token address
        address token;
        ///
        /// @param mode: 0 = without interest. 1 = with interest
        uint8 mode;
        ///
        /// @param expandPercent debt limit expand percent. in 1e2: 100% = 10_000; 1% = 100
        /// Also used to calculate rate at which debt limit should decrease (instant).
        uint256 expandPercent;
        ///
        /// @param expandDuration debt limit expand duration in seconds.
        /// used to calculate rate together with expandPercent
        uint256 expandDuration;
        ///
        /// @param baseDebtCeiling base borrow limit. until here, borrow limit remains as baseDebtCeiling
        /// (user can borrow until this point at once without stepped expansion). Above this, automated limit comes in place.
        /// amount in raw (to be multiplied with exchange price) or normal depends on configured mode in user config for the token:
        /// with interest -> raw, without interest -> normal
        uint256 baseDebtCeiling;
        ///
        /// @param maxDebtCeiling max borrow ceiling, maximum amount the user can borrow.
        /// amount in raw (to be multiplied with exchange price) or normal depends on configured mode in user config for the token:
        /// with interest -> raw, without interest -> normal
        uint256 maxDebtCeiling;
    }
}
//SPDX-License-Identifier: MIT
pragma solidity 0.8.21;
import { IProxy } from "../../infiniteProxy/interfaces/iProxy.sol";
import { Structs as AdminModuleStructs } from "../adminModule/structs.sol";
interface IFluidLiquidityAdmin {
    /// @notice adds/removes auths. Auths generally could be contracts which can have restricted actions defined on contract.
    ///         auths can be helpful in reducing governance overhead where it's not needed.
    /// @param authsStatus_ array of structs setting allowed status for an address.
    ///                     status true => add auth, false => remove auth
    function updateAuths(AdminModuleStructs.AddressBool[] calldata authsStatus_) external;
    /// @notice adds/removes guardians. Only callable by Governance.
    /// @param guardiansStatus_ array of structs setting allowed status for an address.
    ///                         status true => add guardian, false => remove guardian
    function updateGuardians(AdminModuleStructs.AddressBool[] calldata guardiansStatus_) external;
    /// @notice changes the revenue collector address (contract that is sent revenue). Only callable by Governance.
    /// @param revenueCollector_  new revenue collector address
    function updateRevenueCollector(address revenueCollector_) external;
    /// @notice changes current status, e.g. for pausing or unpausing all user operations. Only callable by Auths.
    /// @param newStatus_ new status
    ///        status = 2 -> pause, status = 1 -> resume.
    function changeStatus(uint256 newStatus_) external;
    /// @notice                  update tokens rate data version 1. Only callable by Auths.
    /// @param tokensRateData_   array of RateDataV1Params with rate data to set for each token
    function updateRateDataV1s(AdminModuleStructs.RateDataV1Params[] calldata tokensRateData_) external;
    /// @notice                  update tokens rate data version 2. Only callable by Auths.
    /// @param tokensRateData_   array of RateDataV2Params with rate data to set for each token
    function updateRateDataV2s(AdminModuleStructs.RateDataV2Params[] calldata tokensRateData_) external;
    /// @notice updates token configs: fee charge on borrowers interest & storage update utilization threshold.
    ///         Only callable by Auths.
    /// @param tokenConfigs_ contains token address, fee & utilization threshold
    function updateTokenConfigs(AdminModuleStructs.TokenConfig[] calldata tokenConfigs_) external;
    /// @notice updates user classes: 0 is for new protocols, 1 is for established protocols.
    ///         Only callable by Auths.
    /// @param userClasses_ struct array of uint256 value to assign for each user address
    function updateUserClasses(AdminModuleStructs.AddressUint256[] calldata userClasses_) external;
    /// @notice sets user supply configs per token basis. Eg: with interest or interest-free and automated limits.
    ///         Only callable by Auths.
    /// @param userSupplyConfigs_ struct array containing user supply config, see `UserSupplyConfig` struct for more info
    function updateUserSupplyConfigs(AdminModuleStructs.UserSupplyConfig[] memory userSupplyConfigs_) external;
    /// @notice sets a new withdrawal limit as the current limit for a certain user
    /// @param user_ user address for which to update the withdrawal limit
    /// @param token_ token address for which to update the withdrawal limit
    /// @param newLimit_ new limit until which user supply can decrease to.
    ///                  Important: input in raw. Must account for exchange price in input param calculation.
    ///                  Note any limit that is < max expansion or > current user supply will set max expansion limit or
    ///                  current user supply as limit respectively.
    ///                  - set 0 to make maximum possible withdrawable: instant full expansion, and if that goes
    ///                  below base limit then fully down to 0.
    ///                  - set type(uint256).max to make current withdrawable 0 (sets current user supply as limit).
    function updateUserWithdrawalLimit(address user_, address token_, uint256 newLimit_) external;
    /// @notice setting user borrow configs per token basis. Eg: with interest or interest-free and automated limits.
    ///         Only callable by Auths.
    /// @param userBorrowConfigs_ struct array containing user borrow config, see `UserBorrowConfig` struct for more info
    function updateUserBorrowConfigs(AdminModuleStructs.UserBorrowConfig[] memory userBorrowConfigs_) external;
    /// @notice pause operations for a particular user in class 0 (class 1 users can't be paused by guardians).
    /// Only callable by Guardians.
    /// @param user_          address of user to pause operations for
    /// @param supplyTokens_  token addresses to pause withdrawals for
    /// @param borrowTokens_  token addresses to pause borrowings for
    function pauseUser(address user_, address[] calldata supplyTokens_, address[] calldata borrowTokens_) external;
    /// @notice unpause operations for a particular user in class 0 (class 1 users can't be paused by guardians).
    /// Only callable by Guardians.
    /// @param user_          address of user to unpause operations for
    /// @param supplyTokens_  token addresses to unpause withdrawals for
    /// @param borrowTokens_  token addresses to unpause borrowings for
    function unpauseUser(address user_, address[] calldata supplyTokens_, address[] calldata borrowTokens_) external;
    /// @notice         collects revenue for tokens to configured revenueCollector address.
    /// @param tokens_  array of tokens to collect revenue for
    /// @dev            Note that this can revert if token balance is < revenueAmount (utilization > 100%)
    function collectRevenue(address[] calldata tokens_) external;
    /// @notice gets the current updated exchange prices for n tokens and updates all prices, rates related data in storage.
    /// @param tokens_ tokens to update exchange prices for
    /// @return supplyExchangePrices_ new supply rates of overall system for each token
    /// @return borrowExchangePrices_ new borrow rates of overall system for each token
    function updateExchangePrices(
        address[] calldata tokens_
    ) external returns (uint256[] memory supplyExchangePrices_, uint256[] memory borrowExchangePrices_);
}
interface IFluidLiquidityLogic is IFluidLiquidityAdmin {
    /// @notice Single function which handles supply, withdraw, borrow & payback
    /// @param token_ address of token (0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE for native)
    /// @param supplyAmount_ if +ve then supply, if -ve then withdraw, if 0 then nothing
    /// @param borrowAmount_ if +ve then borrow, if -ve then payback, if 0 then nothing
    /// @param withdrawTo_ if withdrawal then to which address
    /// @param borrowTo_ if borrow then to which address
    /// @param callbackData_ callback data passed to `liquidityCallback` method of protocol
    /// @return memVar3_ updated supplyExchangePrice
    /// @return memVar4_ updated borrowExchangePrice
    /// @dev to trigger skipping in / out transfers (gas optimization):
    /// -  ` callbackData_` MUST be encoded so that "from" address is the last 20 bytes in the last 32 bytes slot,
    ///     also for native token operations where liquidityCallback is not triggered!
    ///     from address must come at last position if there is more data. I.e. encode like:
    ///     abi.encode(otherVar1, otherVar2, FROM_ADDRESS). Note dynamic types used with abi.encode come at the end
    ///     so if dynamic types are needed, you must use abi.encodePacked to ensure the from address is at the end.
    /// -   this "from" address must match withdrawTo_ or borrowTo_ and must be == `msg.sender`
    /// -   `callbackData_` must in addition to the from address as described above include bytes32 SKIP_TRANSFERS
    ///     in the slot before (bytes 32 to 63)
    /// -   `msg.value` must be 0.
    /// -   Amounts must be either:
    ///     -  supply(+) == borrow(+), withdraw(-) == payback(-).
    ///     -  Liquidity must be on the winning side (deposit < borrow OR payback < withdraw).
    function operate(
        address token_,
        int256 supplyAmount_,
        int256 borrowAmount_,
        address withdrawTo_,
        address borrowTo_,
        bytes calldata callbackData_
    ) external payable returns (uint256 memVar3_, uint256 memVar4_);
}
interface IFluidLiquidity is IProxy, IFluidLiquidityLogic {}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { Structs } from "./poolT1/coreModule/structs.sol";
abstract contract Error {
    error FluidDexError(uint256 errorId_);
    error FluidDexFactoryError(uint256 errorId);
    /// @notice used to simulate swap to find the output amount
    error FluidDexSwapResult(uint256 amountOut);
    error FluidDexPerfectLiquidityOutput(uint256 token0Amt, uint token1Amt);
    error FluidDexSingleTokenOutput(uint256 tokenAmt);
    error FluidDexLiquidityOutput(uint256 shares_);
    error FluidDexPricesAndExchangeRates(Structs.PricesAndExchangePrice pex_);
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
library ErrorTypes {
    /***********************************|
    |             DexT1                 | 
    |__________________________________*/
    /// @notice thrown at reentrancy
    uint256 internal constant DexT1__AlreadyEntered = 51001;
    uint256 internal constant DexT1__NotAnAuth = 51002;
    uint256 internal constant DexT1__SmartColNotEnabled = 51003;
    uint256 internal constant DexT1__SmartDebtNotEnabled = 51004;
    uint256 internal constant DexT1__PoolNotInitialized = 51005;
    uint256 internal constant DexT1__TokenReservesTooLow = 51006;
    uint256 internal constant DexT1__EthAndAmountInMisMatch = 51007;
    uint256 internal constant DexT1__EthSentForNonNativeSwap = 51008;
    uint256 internal constant DexT1__NoSwapRoute = 51009;
    uint256 internal constant DexT1__NotEnoughAmountOut = 51010;
    uint256 internal constant DexT1__LiquidityLayerTokenUtilizationCapReached = 51011;
    uint256 internal constant DexT1__HookReturnedFalse = 51012;
    // Either user's config are not set or user is paused
    uint256 internal constant DexT1__UserSupplyInNotOn = 51013;
    // Either user's config are not set or user is paused
    uint256 internal constant DexT1__UserDebtInNotOn = 51014;
    // Thrown when contract asks for more token0 or token1 than what user's wants to give on deposit
    uint256 internal constant DexT1__AboveDepositMax = 51015;
    uint256 internal constant DexT1__MsgValueLowOnDepositOrPayback = 51016;
    uint256 internal constant DexT1__WithdrawLimitReached = 51017;
    // Thrown when contract gives less token0 or token1 than what user's wants on withdraw
    uint256 internal constant DexT1__BelowWithdrawMin = 51018;
    uint256 internal constant DexT1__DebtLimitReached = 51019;
    // Thrown when contract gives less token0 or token1 than what user's wants on borrow
    uint256 internal constant DexT1__BelowBorrowMin = 51020;
    // Thrown when contract asks for more token0 or token1 than what user's wants on payback
    uint256 internal constant DexT1__AbovePaybackMax = 51021;
    uint256 internal constant DexT1__InvalidDepositAmts = 51022;
    uint256 internal constant DexT1__DepositAmtsZero = 51023;
    uint256 internal constant DexT1__SharesMintedLess = 51024;
    uint256 internal constant DexT1__WithdrawalNotEnough = 51025;
    uint256 internal constant DexT1__InvalidWithdrawAmts = 51026;
    uint256 internal constant DexT1__WithdrawAmtsZero = 51027;
    uint256 internal constant DexT1__WithdrawExcessSharesBurn = 51028;
    uint256 internal constant DexT1__InvalidBorrowAmts = 51029;
    uint256 internal constant DexT1__BorrowAmtsZero = 51030;
    uint256 internal constant DexT1__BorrowExcessSharesMinted = 51031;
    uint256 internal constant DexT1__PaybackAmtTooHigh = 51032;
    uint256 internal constant DexT1__InvalidPaybackAmts = 51033;
    uint256 internal constant DexT1__PaybackAmtsZero = 51034;
    uint256 internal constant DexT1__PaybackSharedBurnedLess = 51035;
    uint256 internal constant DexT1__NothingToArbitrage = 51036;
    uint256 internal constant DexT1__MsgSenderNotLiquidity = 51037;
    // On liquidity callback reentrancy bit should be on
    uint256 internal constant DexT1__ReentrancyBitShouldBeOn = 51038;
    // Thrown is reentrancy is already on and someone tries to fetch oracle price. Should not be possible to this
    uint256 internal constant DexT1__OraclePriceFetchAlreadyEntered = 51039;
    // Thrown when swap changes the current price by more than 5%
    uint256 internal constant DexT1__OracleUpdateHugeSwapDiff = 51040;
    uint256 internal constant DexT1__Token0ShouldBeSmallerThanToken1 = 51041;
    uint256 internal constant DexT1__OracleMappingOverflow = 51042;
    /// @notice thrown if governance has paused the swapping & arbitrage so only perfect functions are usable
    uint256 internal constant DexT1__SwapAndArbitragePaused = 51043;
    uint256 internal constant DexT1__ExceedsAmountInMax = 51044;
    /// @notice thrown if amount in is too high or too low
    uint256 internal constant DexT1__SwapInLimitingAmounts = 51045;
    /// @notice thrown if amount out is too high or too low
    uint256 internal constant DexT1__SwapOutLimitingAmounts = 51046;
    uint256 internal constant DexT1__MintAmtOverflow = 51047;
    uint256 internal constant DexT1__BurnAmtOverflow = 51048;
    uint256 internal constant DexT1__LimitingAmountsSwapAndNonPerfectActions = 51049;
    uint256 internal constant DexT1__InsufficientOracleData = 51050;
    uint256 internal constant DexT1__SharesAmountInsufficient = 51051;
    uint256 internal constant DexT1__CenterPriceOutOfRange = 51052;
    uint256 internal constant DexT1__DebtReservesTooLow = 51053;
    uint256 internal constant DexT1__SwapAndDepositTooLowOrTooHigh = 51054;
    uint256 internal constant DexT1__WithdrawAndSwapTooLowOrTooHigh = 51055;
    uint256 internal constant DexT1__BorrowAndSwapTooLowOrTooHigh = 51056;
    uint256 internal constant DexT1__SwapAndPaybackTooLowOrTooHigh = 51057;
    uint256 internal constant DexT1__InvalidImplementation = 51058;
    uint256 internal constant DexT1__OnlyDelegateCallAllowed = 51059;
    uint256 internal constant DexT1__IncorrectDataLength = 51060;
    uint256 internal constant DexT1__AmountToSendLessThanAmount = 51061;
    uint256 internal constant DexT1__InvalidCollateralReserves = 51062;
    uint256 internal constant DexT1__InvalidDebtReserves = 51063;
    uint256 internal constant DexT1__SupplySharesOverflow = 51064;
    uint256 internal constant DexT1__BorrowSharesOverflow = 51065;
    uint256 internal constant DexT1__OracleNotActive = 51066;
    /***********************************|
    |            DEX Admin              | 
    |__________________________________*/
    /// @notice thrown when pool is not initialized
    uint256 internal constant DexT1Admin__PoolNotInitialized = 52001;
    uint256 internal constant DexT1Admin__SmartColIsAlreadyOn = 52002;
    uint256 internal constant DexT1Admin__SmartDebtIsAlreadyOn = 52003;
    /// @notice thrown when any of the configs value overflow the maximum limit
    uint256 internal constant DexT1Admin__ConfigOverflow = 52004;
    uint256 internal constant DexT1Admin__AddressNotAContract = 52005;
    uint256 internal constant DexT1Admin__InvalidParams = 52006;
    uint256 internal constant DexT1Admin__UserNotDefined = 52007;
    uint256 internal constant DexT1Admin__OnlyDelegateCallAllowed = 52008;
    uint256 internal constant DexT1Admin__UnexpectedPoolState = 52009;
    /// @notice thrown when trying to pause or unpause but user is already in the target pause state
    uint256 internal constant DexT1Admin__InvalidPauseToggle = 52009;
    /***********************************|
    |            DEX Factory            | 
    |__________________________________*/
    uint256 internal constant DexFactory__InvalidOperation = 53001;
    uint256 internal constant DexFactory__Unauthorized = 53002;
    uint256 internal constant DexFactory__SameTokenNotAllowed = 53003;
    uint256 internal constant DexFactory__TokenConfigNotProper = 53004;
    uint256 internal constant DexFactory__InvalidParams = 53005;
    uint256 internal constant DexFactory__OnlyDelegateCallAllowed = 53006;
    uint256 internal constant DexFactory__InvalidDexAddress = 53007;
}
// SPDX-License-Identifier: MIT
pragma solidity 0.8.21;
interface IFluidDexFactory {
    /// @notice Global auth is auth for all dexes
    function isGlobalAuth(address auth_) external view returns (bool);
    /// @notice Dex auth is auth for a specific dex
    function isDexAuth(address vault_, address auth_) external view returns (bool);
    /// @notice Total dexes deployed.
    function totalDexes() external view returns (uint256);
    /// @notice Compute dexAddress
    function getDexAddress(uint256 dexId_) external view returns (address);
    /// @notice read uint256 `result_` for a storage `slot_` key
    function readFromStorage(bytes32 slot_) external view returns (uint256 result_);
}
// SPDX-License-Identifier: MIT
pragma solidity 0.8.21;
interface IFluidDexT1 {
    error FluidDexError(uint256 errorId);
    /// @notice used to simulate swap to find the output amount
    error FluidDexSwapResult(uint256 amountOut);
    error FluidDexPerfectLiquidityOutput(uint256 token0Amt, uint token1Amt);
    error FluidDexSingleTokenOutput(uint256 tokenAmt);
    error FluidDexLiquidityOutput(uint256 shares);
    error FluidDexPricesAndExchangeRates(PricesAndExchangePrice pex_);
    /// @notice returns the dex id
    function DEX_ID() external view returns (uint256);
    /// @notice reads uint256 data `result_` from storage at a bytes32 storage `slot_` key.
    function readFromStorage(bytes32 slot_) external view returns (uint256 result_);
    struct Implementations {
        address shift;
        address admin;
        address colOperations;
        address debtOperations;
        address perfectOperationsAndOracle;
    }
    struct ConstantViews {
        uint256 dexId;
        address liquidity;
        address factory;
        Implementations implementations;
        address deployerContract;
        address token0;
        address token1;
        bytes32 supplyToken0Slot;
        bytes32 borrowToken0Slot;
        bytes32 supplyToken1Slot;
        bytes32 borrowToken1Slot;
        bytes32 exchangePriceToken0Slot;
        bytes32 exchangePriceToken1Slot;
        uint256 oracleMapping;
    }
    struct ConstantViews2 {
        uint token0NumeratorPrecision;
        uint token0DenominatorPrecision;
        uint token1NumeratorPrecision;
        uint token1DenominatorPrecision;
    }
    struct PricesAndExchangePrice {
        uint lastStoredPrice; // last stored price in 1e27 decimals
        uint centerPrice; // last stored price in 1e27 decimals
        uint upperRange; // price at upper range in 1e27 decimals
        uint lowerRange; // price at lower range in 1e27 decimals
        uint geometricMean; // geometric mean of upper range & lower range in 1e27 decimals
        uint supplyToken0ExchangePrice;
        uint borrowToken0ExchangePrice;
        uint supplyToken1ExchangePrice;
        uint borrowToken1ExchangePrice;
    }
    struct CollateralReserves {
        uint token0RealReserves;
        uint token1RealReserves;
        uint token0ImaginaryReserves;
        uint token1ImaginaryReserves;
    }
    struct DebtReserves {
        uint token0Debt;
        uint token1Debt;
        uint token0RealReserves;
        uint token1RealReserves;
        uint token0ImaginaryReserves;
        uint token1ImaginaryReserves;
    }
    function getCollateralReserves(
        uint geometricMean_,
        uint upperRange_,
        uint lowerRange_,
        uint token0SupplyExchangePrice_,
        uint token1SupplyExchangePrice_
    ) external view returns (CollateralReserves memory c_);
    function getDebtReserves(
        uint geometricMean_,
        uint upperRange_,
        uint lowerRange_,
        uint token0BorrowExchangePrice_,
        uint token1BorrowExchangePrice_
    ) external view returns (DebtReserves memory d_);
    // reverts with FluidDexPricesAndExchangeRates(pex_);
    function getPricesAndExchangePrices() external;
    function constantsView() external view returns (ConstantViews memory constantsView_);
    function constantsView2() external view returns (ConstantViews2 memory constantsView2_);
    struct Oracle {
        uint twap1by0; // TWAP price
        uint lowestPrice1by0; // lowest price point
        uint highestPrice1by0; // highest price point
        uint twap0by1; // TWAP price
        uint lowestPrice0by1; // lowest price point
        uint highestPrice0by1; // highest price point
    }
    /// @dev This function allows users to swap a specific amount of input tokens for output tokens
    /// @param swap0to1_ Direction of swap. If true, swaps token0 for token1; if false, swaps token1 for token0
    /// @param amountIn_ The exact amount of input tokens to swap
    /// @param amountOutMin_ The minimum amount of output tokens the user is willing to accept
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with amountOut_
    /// @return amountOut_ The amount of output tokens received from the swap
    function swapIn(
        bool swap0to1_,
        uint256 amountIn_,
        uint256 amountOutMin_,
        address to_
    ) external payable returns (uint256 amountOut_);
    /// @dev Swap tokens with perfect amount out
    /// @param swap0to1_ Direction of swap. If true, swaps token0 for token1; if false, swaps token1 for token0
    /// @param amountOut_ The exact amount of tokens to receive after swap
    /// @param amountInMax_ Maximum amount of tokens to swap in
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with amountIn_
    /// @return amountIn_ The amount of input tokens used for the swap
    function swapOut(
        bool swap0to1_,
        uint256 amountOut_,
        uint256 amountInMax_,
        address to_
    ) external payable returns (uint256 amountIn_);
    /// @dev Deposit tokens in equal proportion to the current pool ratio
    /// @param shares_ The number of shares to mint
    /// @param maxToken0Deposit_ Maximum amount of token0 to deposit
    /// @param maxToken1Deposit_ Maximum amount of token1 to deposit
    /// @param estimate_ If true, function will revert with estimated deposit amounts without executing the deposit
    /// @return token0Amt_ Amount of token0 deposited
    /// @return token1Amt_ Amount of token1 deposited
    function depositPerfect(
        uint shares_,
        uint maxToken0Deposit_,
        uint maxToken1Deposit_,
        bool estimate_
    ) external payable returns (uint token0Amt_, uint token1Amt_);
    /// @dev This function allows users to withdraw a perfect amount of collateral liquidity
    /// @param shares_ The number of shares to withdraw
    /// @param minToken0Withdraw_ The minimum amount of token0 the user is willing to accept
    /// @param minToken1Withdraw_ The minimum amount of token1 the user is willing to accept
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with token0Amt_ & token1Amt_
    /// @return token0Amt_ The amount of token0 withdrawn
    /// @return token1Amt_ The amount of token1 withdrawn
    function withdrawPerfect(
        uint shares_,
        uint minToken0Withdraw_,
        uint minToken1Withdraw_,
        address to_
    ) external returns (uint token0Amt_, uint token1Amt_);
    /// @dev This function allows users to borrow tokens in equal proportion to the current debt pool ratio
    /// @param shares_ The number of shares to borrow
    /// @param minToken0Borrow_ Minimum amount of token0 to borrow
    /// @param minToken1Borrow_ Minimum amount of token1 to borrow
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with token0Amt_ & token1Amt_
    /// @return token0Amt_ Amount of token0 borrowed
    /// @return token1Amt_ Amount of token1 borrowed
    function borrowPerfect(
        uint shares_,
        uint minToken0Borrow_,
        uint minToken1Borrow_,
        address to_
    ) external returns (uint token0Amt_, uint token1Amt_);
    /// @dev This function allows users to pay back borrowed tokens in equal proportion to the current debt pool ratio
    /// @param shares_ The number of shares to pay back
    /// @param maxToken0Payback_ Maximum amount of token0 to pay back
    /// @param maxToken1Payback_ Maximum amount of token1 to pay back
    /// @param estimate_ If true, function will revert with estimated payback amounts without executing the payback
    /// @return token0Amt_ Amount of token0 paid back
    /// @return token1Amt_ Amount of token1 paid back
    function paybackPerfect(
        uint shares_,
        uint maxToken0Payback_,
        uint maxToken1Payback_,
        bool estimate_
    ) external payable returns (uint token0Amt_, uint token1Amt_);
    /// @dev This function allows users to deposit tokens in any proportion into the col pool
    /// @param token0Amt_ The amount of token0 to deposit
    /// @param token1Amt_ The amount of token1 to deposit
    /// @param minSharesAmt_ The minimum amount of shares the user expects to receive
    /// @param estimate_ If true, function will revert with estimated shares without executing the deposit
    /// @return shares_ The amount of shares minted for the deposit
    function deposit(
        uint token0Amt_,
        uint token1Amt_,
        uint minSharesAmt_,
        bool estimate_
    ) external payable returns (uint shares_);
    /// @dev This function allows users to withdraw tokens in any proportion from the col pool
    /// @param token0Amt_ The amount of token0 to withdraw
    /// @param token1Amt_ The amount of token1 to withdraw
    /// @param maxSharesAmt_ The maximum number of shares the user is willing to burn
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with shares_
    /// @return shares_ The number of shares burned for the withdrawal
    function withdraw(
        uint token0Amt_,
        uint token1Amt_,
        uint maxSharesAmt_,
        address to_
    ) external returns (uint shares_);
    /// @dev This function allows users to borrow tokens in any proportion from the debt pool
    /// @param token0Amt_ The amount of token0 to borrow
    /// @param token1Amt_ The amount of token1 to borrow
    /// @param maxSharesAmt_ The maximum amount of shares the user is willing to receive
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with shares_
    /// @return shares_ The amount of borrow shares minted to represent the borrowed amount
    function borrow(
        uint token0Amt_,
        uint token1Amt_,
        uint maxSharesAmt_,
        address to_
    ) external returns (uint shares_);
    /// @dev This function allows users to payback tokens in any proportion to the debt pool
    /// @param token0Amt_ The amount of token0 to payback
    /// @param token1Amt_ The amount of token1 to payback
    /// @param minSharesAmt_ The minimum amount of shares the user expects to burn
    /// @param estimate_ If true, function will revert with estimated shares without executing the payback
    /// @return shares_ The amount of borrow shares burned for the payback
    function payback(
        uint token0Amt_,
        uint token1Amt_,
        uint minSharesAmt_,
        bool estimate_
    ) external payable returns (uint shares_);
    /// @dev This function allows users to withdraw their collateral with perfect shares in one token
    /// @param shares_ The number of shares to burn for withdrawal
    /// @param minToken0_ The minimum amount of token0 the user expects to receive (set to 0 if withdrawing in token1)
    /// @param minToken1_ The minimum amount of token1 the user expects to receive (set to 0 if withdrawing in token0)
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with withdrawAmt_
    /// @return withdrawAmt_ The amount of tokens withdrawn in the chosen token
    function withdrawPerfectInOneToken(
        uint shares_,
        uint minToken0_,
        uint minToken1_,
        address to_
    ) external returns (
        uint withdrawAmt_
    );
    /// @dev This function allows users to payback their debt with perfect shares in one token
    /// @param shares_ The number of shares to burn for payback
    /// @param maxToken0_ The maximum amount of token0 the user is willing to pay (set to 0 if paying back in token1)
    /// @param maxToken1_ The maximum amount of token1 the user is willing to pay (set to 0 if paying back in token0)
    /// @param estimate_ If true, the function will revert with the estimated payback amount without executing the payback
    /// @return paybackAmt_ The amount of tokens paid back in the chosen token
    function paybackPerfectInOneToken(
        uint shares_,
        uint maxToken0_,
        uint maxToken1_,
        bool estimate_
    ) external payable returns (
        uint paybackAmt_
    );
    /// @dev the oracle assumes last set price of pool till the next swap happens.
    /// There's a possibility that during that time some interest is generated hence the last stored price is not the 100% correct price for the whole duration
    /// but the difference due to interest will be super low so this difference is ignored
    /// For example 2 swaps happened 10min (600 seconds) apart and 1 token has 10% higher interest than other.
    /// then that token will accrue about 10% * 600 / secondsInAYear = ~0.0002%
    /// @param secondsAgos_ array of seconds ago for which TWAP is needed. If user sends [10, 30, 60] then twaps_ will return [10-0, 30-10, 60-30]
    /// @return twaps_ twap price, lowest price (aka minima) & highest price (aka maxima) between secondsAgo checkpoints
    /// @return currentPrice_ price of pool after the most recent swap
    function oraclePrice(
        uint[] memory secondsAgos_
    ) external view returns (
        Oracle[] memory twaps_,
        uint currentPrice_
    );
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { StorageRead } from "../../../../libraries/storageRead.sol";
interface ITokenDecimals {
    function decimals() external view returns (uint8);
}
abstract contract ConstantVariables is StorageRead {
    /*//////////////////////////////////////////////////////////////
                          CONSTANTS / IMMUTABLES
    //////////////////////////////////////////////////////////////*/
    address internal constant TEAM_MULTISIG = 0x4F6F977aCDD1177DCD81aB83074855EcB9C2D49e;
    address internal constant NATIVE_TOKEN = 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE;
    uint256 internal constant NATIVE_TOKEN_DECIMALS = 18;
    address internal constant ADDRESS_DEAD = 0x000000000000000000000000000000000000dEaD;
    uint256 internal constant TOKENS_DECIMALS_PRECISION = 12;
    uint256 internal constant TOKENS_DECIMALS = 1e12;
    uint256 internal constant SMALL_COEFFICIENT_SIZE = 10;
    uint256 internal constant DEFAULT_COEFFICIENT_SIZE = 56;
    uint256 internal constant DEFAULT_EXPONENT_SIZE = 8;
    uint256 internal constant DEFAULT_EXPONENT_MASK = 0xFF;
    uint256 internal constant X2 = 0x3;
    uint256 internal constant X3 = 0x7;
    uint256 internal constant X5 = 0x1f;
    uint256 internal constant X7 = 0x7f;
    uint256 internal constant X8 = 0xff;
    uint256 internal constant X9 = 0x1ff;
    uint256 internal constant X10 = 0x3ff;
    uint256 internal constant X11 = 0x7ff;
    uint256 internal constant X14 = 0x3fff;
    uint256 internal constant X16 = 0xffff;
    uint256 internal constant X17 = 0x1ffff;
    uint256 internal constant X18 = 0x3ffff;
    uint256 internal constant X20 = 0xfffff;
    uint256 internal constant X22 = 0x3fffff;
    uint256 internal constant X23 = 0x7fffff;
    uint256 internal constant X24 = 0xffffff;
    uint256 internal constant X28 = 0xfffffff;
    uint256 internal constant X30 = 0x3fffffff;
    uint256 internal constant X32 = 0xffffffff;
    uint256 internal constant X33 = 0x1ffffffff;
    uint256 internal constant X40 = 0xffffffffff;
    uint256 internal constant X64 = 0xffffffffffffffff;
    uint256 internal constant X96 = 0xffffffffffffffffffffffff;
    uint256 internal constant X128 = 0xffffffffffffffffffffffffffffffff;
    uint256 internal constant TWO_DECIMALS = 1e2;
    uint256 internal constant THREE_DECIMALS = 1e3;
    uint256 internal constant FOUR_DECIMALS = 1e4;
    uint256 internal constant FIVE_DECIMALS = 1e5;
    uint256 internal constant SIX_DECIMALS = 1e6;
    uint256 internal constant EIGHT_DECIMALS = 1e8;
    uint256 internal constant NINE_DECIMALS = 1e9;
    uint256 internal constant PRICE_PRECISION = 1e27;
    uint256 internal constant ORACLE_PRECISION = 1e18; // 100%
    uint256 internal constant ORACLE_LIMIT = 5 * 1e16; // 5%
    /// after swap token0 reserves should not be less than token1InToken0 / MINIMUM_LIQUIDITY_SWAP
    /// after swap token1 reserves should not be less than token0InToken1 / MINIMUM_LIQUIDITY_SWAP
    uint256 internal constant MINIMUM_LIQUIDITY_SWAP = 1e4;
    /// after user operations (deposit, withdraw, borrow, payback) token0 reserves should not be less than token1InToken0 / MINIMUM_LIQUIDITY_USER_OPERATIONS
    /// after user operations (deposit, withdraw, borrow, payback) token1 reserves should not be less than token0InToken0 / MINIMUM_LIQUIDITY_USER_OPERATIONS
    uint256 internal constant MINIMUM_LIQUIDITY_USER_OPERATIONS = 1e6;
    /// To skip transfers in liquidity layer if token in & out is same and liquidity layer is on the winning side
    bytes32 internal constant SKIP_TRANSFERS = keccak256(bytes("SKIP_TRANSFERS"));
    function _decimals(address token_) internal view returns (uint256) {
        return (token_ == NATIVE_TOKEN) ? NATIVE_TOKEN_DECIMALS : ITokenDecimals(token_).decimals();
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
abstract contract Variables {
    /*//////////////////////////////////////////////////////////////
                          STORAGE VARIABLES
    //////////////////////////////////////////////////////////////*/
    /// First 1 bit  => 0 => re-entrancy. If 0 then allow transaction to go, else throw.
    /// Next 40 bits => 1-40 => last to last stored price. BigNumber (32 bits precision, 8 bits exponent)
    /// Next 40 bits => 41-80 => last stored price of pool. BigNumber (32 bits precision, 8 bits exponent)
    /// Next 40 bits => 81-120 => center price. Center price from where the ranges will be calculated. BigNumber (32 bits precision, 8 bits exponent)
    /// Next 33 bits => 121-153 => last interaction time stamp
    /// Next 22 bits => 154-175 => max 4194303 seconds (~1165 hrs, ~48.5 days), time difference between last to last and last price stored
    /// Next 3 bits  => 176-178 => oracle checkpoint, if 0 then first slot, if 7 then last slot
    /// Next 16 bits => 179-194 => current mapping or oracle, after every 8 transaction it will increase by 1. Max capacity is 65535 but it can be lower than that check dexVariables2
    /// Next 1 bit  => 195 => is oracle active?
    uint internal dexVariables;
    /// Next  1 bit  => 0 => is smart collateral enabled?
    /// Next  1 bit  => 1 => is smart debt enabled?
    /// Next 17 bits => 2-18 => fee (1% = 10000, max value: 100000 = 10%, fee should not be more than 10%)
    /// Next  7 bits => 19-25 => revenue cut from fee (1 = 1%, 100 = 100%). If fee is 1000 = 0.1% and revenue cut is 10 = 10% then governance get 0.01% of every swap
    /// Next  1 bit  => 26 => percent active change going on or not, 0 = false, 1 = true, if true than that means governance has updated the below percents and the update should happen with a specified time.
    /// Next 20 bits => 27-46 => upperPercent (1% = 10000, max value: 104.8575%) upperRange - upperRange * upperPercent = centerPrice. Hence, upperRange = centerPrice / (1 - upperPercent)
    /// Next 20 bits => 47-66 => lowerPercent. lowerRange = centerPrice - centerPrice * lowerPercent.
    /// Next  1 bit  => 67 => threshold percent active change going on or not, 0 = false, 1 = true, if true than that means governance has updated the below percents and the update should happen with a specified time.
    /// Next 10 bits => 68-77 => upper shift threshold percent, 1 = 0.1%. 1000 = 100%. if currentPrice > (centerPrice + (upperRange - centerPrice) * (1000 - upperShiftThresholdPercent) / 1000) then trigger shift
    /// Next 10 bits => 78-87 => lower shift threshold percent, 1 = 0.1%. 1000 = 100%. if currentPrice < (centerPrice - (centerPrice - lowerRange) * (1000 - lowerShiftThresholdPercent) / 1000) then trigger shift
    /// Next 24 bits => 88-111 => Shifting time (~194 days) (rate = (% up + % down) / time ?)
    /// Next 30 bits => 112-131 => Address of center price if center price should be fetched externally, for example, for wstETH <> ETH pool, fetch wstETH exchange rate into stETH from wstETH contract.
    /// Why fetch it externally? Because let's say pool width is 0.1% and wstETH temporarily got depeg of 0.5% then pool will start to shift to newer pricing
    /// but we don't want pool to shift to 0.5% because we know the depeg will recover so to avoid the loss for users.
    /// Next 30 bits => 142-171 => Hooks bits, calculate hook address by storing deployment nonce from factory.
    /// Next 28 bits => 172-199 => max center price. BigNumber (20 bits precision, 8 bits exponent)
    /// Next 28 bits => 200-227 => min center price. BigNumber (20 bits precision, 8 bits exponent)
    /// Next 10 bits => 228-237 => utilization limit of token0. Max value 1000 = 100%, if 100% then no need to check the utilization.
    /// Next 10 bits => 238-247 => utilization limit of token1. Max value 1000 = 100%, if 100% then no need to check the utilization.
    /// Next 1  bit  => 248     => is center price shift active
    /// Last 1  bit  => 255     => Pause swap & arbitrage (only perfect functions will be usable), if we need to pause entire DEX then that can be done through pausing DEX on Liquidity Layer
    uint internal dexVariables2;
    /// first 128 bits => 0-127 => total supply shares
    /// last 128 bits => 128-255 => max supply shares
    uint internal _totalSupplyShares;
    /// @dev user supply data: user -> data
    /// Aside from 1st bit, entire bits here are same as liquidity layer _userSupplyData. Hence exact same supply & borrow limit library can be used
    /// First  1 bit  =>       0 => is user allowed to supply? 0 = not allowed, 1 = allowed
    /// Next  64 bits =>   1- 64 => user supply amount/shares; BigMath: 56 | 8
    /// Next  64 bits =>  65-128 => previous user withdrawal limit; BigMath: 56 | 8
    /// Next  33 bits => 129-161 => last triggered process timestamp (enough until 16 March 2242 -> max value 8589934591)
    /// Next  14 bits => 162-175 => expand withdrawal limit percentage (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383).
    ///                             @dev shrinking is instant
    /// Next  24 bits => 176-199 => withdrawal limit expand duration in seconds.(Max value 16_777_215; ~4_660 hours, ~194 days)
    /// Next  18 bits => 200-217 => base withdrawal limit: below this, 100% withdrawals can be done (aka shares can be burned); BigMath: 10 | 8
    /// Next  38 bits => 218-255 => empty for future use
    mapping(address => uint) internal _userSupplyData;
    /// first 128 bits => 0-127 => total borrow shares
    /// last 128 bits => 128-255 => max borrow shares
    uint internal _totalBorrowShares;
    /// @dev user borrow data: user -> data
    /// Aside from 1st bit, entire bits here are same as liquidity layer _userBorrowData. Hence exact same supply & borrow limit library function can be used
    /// First  1 bit  =>       0 => is user allowed to borrow? 0 = not allowed, 1 = allowed
    /// Next  64 bits =>   1- 64 => user debt amount/shares; BigMath: 56 | 8
    /// Next  64 bits =>  65-128 => previous user debt ceiling; BigMath: 56 | 8
    /// Next  33 bits => 129-161 => last triggered process timestamp (enough until 16 March 2242 -> max value 8589934591)
    /// Next  14 bits => 162-175 => expand debt ceiling percentage (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
    ///                             @dev shrinking is instant
    /// Next  24 bits => 176-199 => debt ceiling expand duration in seconds (Max value 16_777_215; ~4_660 hours, ~194 days)
    /// Next  18 bits => 200-217 => base debt ceiling: below this, there's no debt ceiling limits; BigMath: 10 | 8
    /// Next  18 bits => 218-235 => max debt ceiling: absolute maximum debt ceiling can expand to; BigMath: 10 | 8
    /// Next  20 bits => 236-255 => empty for future use
    mapping(address => uint) internal _userBorrowData;
    /// Price difference between last swap of last block & last swap of new block
    /// If last swap happened at Block B - 4 and next swap happened after 4 blocks at Block B then it will store that difference
    /// considering time difference between these 4 blocks is 48 seconds, hence time will be stored as 48
    /// New oracle update:
    /// time to 9 bits and precision to 22 bits
    /// if time exceeds 9 bits which is 511 sec or ~8.5 min then we will use 2 oracle slot to store the data
    /// we will leave the both time slot as 0 and on first sign + precision slot we will store time and
    /// on second sign + precision slot we will store sign & precision
    /// First 9 bits =>   0-  8 => time, 511 seconds
    /// Next   1 bit  =>  9     => sign of percent in change, if 1 then 0 or positive, else negative
    /// Next  22 bits =>  10- 31 => 4194303, change in price, max change is capped to 5%, so 4194303 = 5%, 1 = 0.0000011920931797249746%
    /// Next  9 bits =>  32- 40 => time, 511 seconds
    /// Next   1 bit  =>  41     => sign of percent in change, if 1 then 0 or positive, else negative
    /// Next  22 bits =>  42- 63 => 4194303, change in price, max change is capped to 5%, so 4194303 = 5%, 1 = 0.0000011920931797249746%
    /// Next  9 bits =>  64- 72 => time, 511 seconds
    /// Next   1 bit  =>  73     => sign of percent in change, if 1 then 0 or positive, else negative
    /// Next  22 bits =>  74- 95 => 4194303, change in price, max change is capped to 5%, so 4194303 = 5%, 1 = 0.0000011920931797249746%
    /// Next  9 bits =>  96-104 => time, 511 seconds
    /// Next   1 bit  => 105     => sign of percent in change, if 1 then 0 or positive, else negative
    /// Next  22 bits => 106-127 => 4194303, change in price, max change is capped to 5%, so 4194303 = 5%, 1 = 0.0000011920931797249746%
    /// Next  9 bits => 128-136 => time, 511 seconds
    /// Next   1 bit  => 137     => sign of percent in change, if 1 then 0 or positive, else negative
    /// Next  22 bits => 138-159 => 4194303, change in price, max change is capped to 5%, so 4194303 = 5%, 1 = 0.0000011920931797249746%
    /// Next  9 bits => 160-168 => time, 511 seconds
    /// Next   1 bit  => 169     => sign of percent in change, if 1 then 0 or positive, else negative
    /// Next  22 bits => 170-191 => 4194303, change in price, max change is capped to 5%, so 4194303 = 5%, 1 = 0.0000011920931797249746%
    /// Next  9 bits => 192-200 => time, 511 seconds
    /// Next   1 bit  => 201     => sign of percent in change, if 1 then 0 or positive, else negative
    /// Next  22 bits => 202-223 => 4194303, change in price, max change is capped to 5%, so 4194303 = 5%, 1 = 0.0000011920931797249746%
    /// Next  9 bits => 224-232 => time, 511 seconds
    /// Next   1 bit  => 233     => sign of percent in change, if 1 then 0 or positive, else negative
    /// Next  22 bits => 234-255 => 4194303, change in price, max change is capped to 5%, so 4194303 = 5%, 1 = 0.0000011920931797249746%
    mapping(uint => uint) internal _oracle;
    /// First 20 bits =>  0-19 => old upper shift
    /// Next  20 bits => 20-39 => old lower shift
    /// Next  20 bits => 40-59 => in seconds, ~12 days max, shift can last for max ~12 days
    /// Next  33 bits => 60-92 => timestamp of when the shift has started.
    uint128 internal _rangeShift;
    /// First 10 bits =>  0- 9 => old upper shift
    /// Next  10 bits => 10-19 => empty so we can use same helper function
    /// Next  10 bits => 20-29 => old lower shift
    /// Next  10 bits => 30-39 => empty so we can use same helper function
    /// Next  20 bits => 40-59 => in seconds, ~12 days max, shift can last for max ~12 days
    /// Next  33 bits => 60-92 => timestamp of when the shift has started.
    /// Next  24 bits => 93-116 => old threshold time
    uint128 internal _thresholdShift;
    /// Shifting is fuzzy and with time it'll keep on getting closer and then eventually get over
    /// First 33 bits => 0 -32 => starting timestamp
    /// Next  20 bits => 33-52 => % shift
    /// Next  20 bits => 53-72 => time to shift that percent
    uint256 internal _centerPriceShift;
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { CoreHelpers } from "../helpers/coreHelpers.sol";
import { SafeTransfer } from "../../../../../libraries/safeTransfer.sol";
import { DexSlotsLink } from "../../../../../libraries/dexSlotsLink.sol";
import { DexCalcs } from "../../../../../libraries/dexCalcs.sol";
import { BigMathMinified } from "../../../../../libraries/bigMathMinified.sol";
import { ErrorTypes } from "../../../errorTypes.sol";
import { IFluidDexT1 } from "../../../interfaces/iDexT1.sol";
interface IDexCallback {
    function dexCallback(address token_, uint256 amount_) external;
}
/// @title FluidDexT1
/// @notice Implements core logics for Fluid Dex protocol.
/// Note Token transfers happen directly from user to Liquidity contract and vice-versa.
contract FluidDexT1 is CoreHelpers {
    using BigMathMinified for uint256;
    constructor(ConstantViews memory constantViews_) CoreHelpers(constantViews_) {
        // any implementations should not be zero
        if (
            constantViews_.implementations.shift == address(0) ||
            constantViews_.implementations.admin == address(0) ||
            constantViews_.implementations.colOperations == address(0) ||
            constantViews_.implementations.debtOperations == address(0) ||
            constantViews_.implementations.perfectOperationsAndSwapOut == address(0)
        ) {
            revert FluidDexError(ErrorTypes.DexT1__InvalidImplementation);
        }
    }
    struct SwapInExtras {
        address to;
        uint amountOutMin;
        bool isCallback;
    }
    /// @dev This function allows users to swap a specific amount of input tokens for output tokens
    /// @param swap0to1_ Direction of swap. If true, swaps token0 for token1; if false, swaps token1 for token0
    /// @param amountIn_ The exact amount of input tokens to swap
    /// @param extras_ Additional parameters for the swap:
    ///   - to: Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with amountOut_
    ///   - amountOutMin: The minimum amount of output tokens the user expects to receive
    ///   - isCallback: If true, indicates that the input tokens should be transferred via a callback
    /// @return amountOut_ The amount of output tokens received from the swap
    function _swapIn(
        bool swap0to1_,
        uint256 amountIn_,
        SwapInExtras memory extras_
    ) internal returns (uint256 amountOut_) {
        uint dexVariables_ = dexVariables;
        uint dexVariables2_ = dexVariables2;
        if ((dexVariables2_ >> 255) == 1) revert FluidDexError(ErrorTypes.DexT1__SwapAndArbitragePaused);
        _check(dexVariables_, dexVariables2_);
        if (extras_.to == address(0)) extras_.to = msg.sender;
        SwapInMemory memory s_;
        if (swap0to1_) {
            (s_.tokenIn, s_.tokenOut) = (TOKEN_0, TOKEN_1);
            unchecked {
                s_.amtInAdjusted = (amountIn_ * TOKEN_0_NUMERATOR_PRECISION) / TOKEN_0_DENOMINATOR_PRECISION;
            }
        } else {
            (s_.tokenIn, s_.tokenOut) = (TOKEN_1, TOKEN_0);
            unchecked {
                s_.amtInAdjusted = (amountIn_ * TOKEN_1_NUMERATOR_PRECISION) / TOKEN_1_DENOMINATOR_PRECISION;
            }
        }
        _verifySwapAndNonPerfectActions(s_.amtInAdjusted, amountIn_);
        PricesAndExchangePrice memory pex_ = _getPricesAndExchangePrices(dexVariables_, dexVariables2_);
        if (msg.value > 0) {
            if (msg.value != amountIn_) revert FluidDexError(ErrorTypes.DexT1__EthAndAmountInMisMatch);
            if (s_.tokenIn != NATIVE_TOKEN) revert FluidDexError(ErrorTypes.DexT1__EthSentForNonNativeSwap);
        }
        // is smart collateral pool enabled
        uint temp_ = dexVariables2_ & 1;
        // is smart debt pool enabled
        uint temp2_ = (dexVariables2_ >> 1) & 1;
        uint temp3_;
        uint temp4_;
        // extracting fee
        temp3_ = ((dexVariables2_ >> 2) & X17);
        unchecked {
            // revenueCut in 6 decimals, to have proper precision
            // if fee = 1% and revenue cut = 10% then revenueCut = 1e8 - (10000 * 10) = 99900000
            s_.revenueCut = EIGHT_DECIMALS - ((((dexVariables2_ >> 19) & X7) * temp3_));
            // fee in 4 decimals
            // 1 - fee. If fee is 1% then withoutFee will be 1e6 - 1e4
            // s_.fee => 1 - withdraw fee
            s_.fee = SIX_DECIMALS - temp3_;
        }
        CollateralReservesSwap memory cs_;
        DebtReservesSwap memory ds_;
        if (temp_ == 1) {
            // smart collateral is enabled
            {
                CollateralReserves memory c_ = _getCollateralReserves(
                    pex_.geometricMean,
                    pex_.upperRange,
                    pex_.lowerRange,
                    pex_.supplyToken0ExchangePrice,
                    pex_.supplyToken1ExchangePrice
                );
                if (swap0to1_) {
                    (
                        cs_.tokenInRealReserves,
                        cs_.tokenOutRealReserves,
                        cs_.tokenInImaginaryReserves,
                        cs_.tokenOutImaginaryReserves
                    ) = (
                        c_.token0RealReserves,
                        c_.token1RealReserves,
                        c_.token0ImaginaryReserves,
                        c_.token1ImaginaryReserves
                    );
                } else {
                    (
                        cs_.tokenInRealReserves,
                        cs_.tokenOutRealReserves,
                        cs_.tokenInImaginaryReserves,
                        cs_.tokenOutImaginaryReserves
                    ) = (
                        c_.token1RealReserves,
                        c_.token0RealReserves,
                        c_.token1ImaginaryReserves,
                        c_.token0ImaginaryReserves
                    );
                }
            }
        }
        if (temp2_ == 1) {
            // smart debt is enabled
            {
                DebtReserves memory d_ = _getDebtReserves(
                    pex_.geometricMean,
                    pex_.upperRange,
                    pex_.lowerRange,
                    pex_.borrowToken0ExchangePrice,
                    pex_.borrowToken1ExchangePrice
                );
                if (swap0to1_) {
                    (
                        ds_.tokenInDebt,
                        ds_.tokenOutDebt,
                        ds_.tokenInRealReserves,
                        ds_.tokenOutRealReserves,
                        ds_.tokenInImaginaryReserves,
                        ds_.tokenOutImaginaryReserves
                    ) = (
                        d_.token0Debt,
                        d_.token1Debt,
                        d_.token0RealReserves,
                        d_.token1RealReserves,
                        d_.token0ImaginaryReserves,
                        d_.token1ImaginaryReserves
                    );
                } else {
                    (
                        ds_.tokenInDebt,
                        ds_.tokenOutDebt,
                        ds_.tokenInRealReserves,
                        ds_.tokenOutRealReserves,
                        ds_.tokenInImaginaryReserves,
                        ds_.tokenOutImaginaryReserves
                    ) = (
                        d_.token1Debt,
                        d_.token0Debt,
                        d_.token1RealReserves,
                        d_.token0RealReserves,
                        d_.token1ImaginaryReserves,
                        d_.token0ImaginaryReserves
                    );
                }
            }
        }
        // limiting amtInAdjusted to be not more than 50% of both (collateral & debt) imaginary tokenIn reserves combined
        // basically, if this throws that means user is trying to swap 0.5x tokenIn if current tokenIn imaginary reserves is x
        // let's take x as token0 here, that means, initially the pool pricing might be:
        // token1Reserve / x and new pool pricing will become token1Reserve / 1.5x (token1Reserve will decrease after swap but for simplicity ignoring that)
        // So pool price is decreased by ~33.33% (oracle will throw error in this case as it only allows 5% price difference but better to limit it before hand)
        unchecked {
            if (s_.amtInAdjusted > ((cs_.tokenInImaginaryReserves + ds_.tokenInImaginaryReserves) / 2))
                revert FluidDexError(ErrorTypes.DexT1__SwapInLimitingAmounts);
        }
        if (temp_ == 1 && temp2_ == 1) {
            // unless both pools are enabled s_.swapRoutingAmt will be 0
            s_.swapRoutingAmt = _swapRoutingIn(
                s_.amtInAdjusted,
                cs_.tokenOutImaginaryReserves,
                cs_.tokenInImaginaryReserves,
                ds_.tokenOutImaginaryReserves,
                ds_.tokenInImaginaryReserves
            );
        }
        // In below if else statement temps are:
        // temp_ => deposit amt
        // temp2_ => withdraw amt
        // temp3_ => payback amt
        // temp4_ => borrow amt
        if (int(s_.amtInAdjusted) > s_.swapRoutingAmt && s_.swapRoutingAmt > 0) {
            // swap will route from the both pools
            // temp_ = amountInCol_
            temp_ = uint(s_.swapRoutingAmt);
            unchecked {
                // temp3_ = amountInDebt_
                temp3_ = s_.amtInAdjusted - temp_;
            }
            (temp2_, temp4_) = (0, 0);
            // debt pool price will be the same as collateral pool after the swap
            s_.withdrawTo = extras_.to;
            s_.borrowTo = extras_.to;
        } else if ((temp_ == 1 && temp2_ == 0) || (s_.swapRoutingAmt >= int(s_.amtInAdjusted))) {
            // entire swap will route through collateral pool
            (temp_, temp2_, temp3_, temp4_) = (s_.amtInAdjusted, 0, 0, 0);
            // price can slightly differ from debt pool but difference will be very small. Probably <0.01% for active DEX pools.
            s_.withdrawTo = extras_.to;
        } else if ((temp_ == 0 && temp2_ == 1) || (s_.swapRoutingAmt <= 0)) {
            // entire swap will route through debt pool
            (temp_, temp2_, temp3_, temp4_) = (0, 0, s_.amtInAdjusted, 0);
            // price can slightly differ from collateral pool but difference will be very small. Probably <0.01% for active DEX pools.
            s_.borrowTo = extras_.to;
        } else {
            // swap should never reach this point but if it does then reverting
            revert FluidDexError(ErrorTypes.DexT1__NoSwapRoute);
        }
        if (temp_ > 0) {
            // temp2_ = amountOutCol_
            temp2_ = _getAmountOut(
                ((temp_ * s_.fee) / SIX_DECIMALS),
                cs_.tokenInImaginaryReserves,
                cs_.tokenOutImaginaryReserves
            );
            swap0to1_
                ? _verifyToken1Reserves(
                    (cs_.tokenInRealReserves + temp_),
                    (cs_.tokenOutRealReserves - temp2_),
                    pex_.centerPrice,
                    MINIMUM_LIQUIDITY_SWAP
                )
                : _verifyToken0Reserves(
                    (cs_.tokenOutRealReserves - temp2_),
                    (cs_.tokenInRealReserves + temp_),
                    pex_.centerPrice,
                    MINIMUM_LIQUIDITY_SWAP
                );
        }
        if (temp3_ > 0) {
            // temp4_ = amountOutDebt_
            temp4_ = _getAmountOut(
                ((temp3_ * s_.fee) / SIX_DECIMALS),
                ds_.tokenInImaginaryReserves,
                ds_.tokenOutImaginaryReserves
            );
            swap0to1_
                ? _verifyToken1Reserves(
                    (ds_.tokenInRealReserves + temp3_),
                    (ds_.tokenOutRealReserves - temp4_),
                    pex_.centerPrice,
                    MINIMUM_LIQUIDITY_SWAP
                )
                : _verifyToken0Reserves(
                    (ds_.tokenOutRealReserves - temp4_),
                    (ds_.tokenInRealReserves + temp3_),
                    pex_.centerPrice,
                    MINIMUM_LIQUIDITY_SWAP
                );
        }
        // (temp_ + temp3_) == amountIn_ == msg.value (for native token), if there is revenue cut then this statement is not true
        temp_ = (temp_ * s_.revenueCut) / EIGHT_DECIMALS;
        temp3_ = (temp3_ * s_.revenueCut) / EIGHT_DECIMALS;
        // from whatever pool higher amount of swap is routing we are taking that as final price, does not matter much because both pools final price should be same
        if (temp_ > temp3_) {
            // new pool price from col pool
            s_.price = swap0to1_
                ? ((cs_.tokenOutImaginaryReserves - temp2_) * 1e27) / (cs_.tokenInImaginaryReserves + temp_)
                : ((cs_.tokenInImaginaryReserves + temp_) * 1e27) / (cs_.tokenOutImaginaryReserves - temp2_);
        } else {
            // new pool price from debt pool
            s_.price = swap0to1_
                ? ((ds_.tokenOutImaginaryReserves - temp4_) * 1e27) / (ds_.tokenInImaginaryReserves + temp3_)
                : ((ds_.tokenInImaginaryReserves + temp3_) * 1e27) / (ds_.tokenOutImaginaryReserves - temp4_);
        }
        // converting into normal token amounts
        if (swap0to1_) {
            temp_ = ((temp_ * TOKEN_0_DENOMINATOR_PRECISION) / TOKEN_0_NUMERATOR_PRECISION);
            temp3_ = ((temp3_ * TOKEN_0_DENOMINATOR_PRECISION) / TOKEN_0_NUMERATOR_PRECISION);
            // only adding uncheck in out amount
            unchecked {
                temp2_ = ((temp2_ * TOKEN_1_DENOMINATOR_PRECISION) / TOKEN_1_NUMERATOR_PRECISION);
                temp4_ = ((temp4_ * TOKEN_1_DENOMINATOR_PRECISION) / TOKEN_1_NUMERATOR_PRECISION);
            }
        } else {
            temp_ = ((temp_ * TOKEN_1_DENOMINATOR_PRECISION) / TOKEN_1_NUMERATOR_PRECISION);
            temp3_ = ((temp3_ * TOKEN_1_DENOMINATOR_PRECISION) / TOKEN_1_NUMERATOR_PRECISION);
            // only adding uncheck in out amount
            unchecked {
                temp2_ = ((temp2_ * TOKEN_0_DENOMINATOR_PRECISION) / TOKEN_0_NUMERATOR_PRECISION);
                temp4_ = ((temp4_ * TOKEN_0_DENOMINATOR_PRECISION) / TOKEN_0_NUMERATOR_PRECISION);
            }
        }
        unchecked {
            amountOut_ = temp2_ + temp4_;
        }
        // if address dead then reverting with amountOut
        if (extras_.to == ADDRESS_DEAD) revert FluidDexSwapResult(amountOut_);
        if (amountOut_ < extras_.amountOutMin) revert FluidDexError(ErrorTypes.DexT1__NotEnoughAmountOut);
        // allocating to avoid stack-too-deep error
        // not setting in the callbackData as last 2nd to avoid SKIP_TRANSFERS clashing
        s_.data = abi.encode(amountIn_, extras_.isCallback, msg.sender); // true/false is to decide if dex should do callback or directly transfer from user
        // deposit & payback token in at liquidity
        LIQUIDITY.operate{ value: msg.value }(s_.tokenIn, int(temp_), -int(temp3_), address(0), address(0), s_.data);
        // withdraw & borrow token out at liquidity
        LIQUIDITY.operate(s_.tokenOut, -int(temp2_), int(temp4_), s_.withdrawTo, s_.borrowTo, new bytes(0));
        // if hook exists then calling hook
        temp_ = (dexVariables2_ >> 142) & X30;
        if (temp_ > 0) {
            s_.swap0to1 = swap0to1_;
            _hookVerify(temp_, 1, s_.swap0to1, s_.price);
        }
        swap0to1_
            ? _utilizationVerify(((dexVariables2_ >> 238) & X10), EXCHANGE_PRICE_TOKEN_1_SLOT)
            : _utilizationVerify(((dexVariables2_ >> 228) & X10), EXCHANGE_PRICE_TOKEN_0_SLOT);
        dexVariables = _updateOracle(s_.price, pex_.centerPrice, dexVariables_);
        emit Swap(swap0to1_, amountIn_, amountOut_, extras_.to);
    }
    /// @dev Swap tokens with perfect amount in
    /// @param swap0to1_ Direction of swap. If true, swaps token0 for token1; if false, swaps token1 for token0
    /// @param amountIn_ The exact amount of tokens to swap in
    /// @param amountOutMin_ The minimum amount of tokens to receive after swap
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with amountOut_
    /// @return amountOut_ The amount of output tokens received from the swap
    function swapIn(
        bool swap0to1_,
        uint256 amountIn_,
        uint256 amountOutMin_,
        address to_
    ) public payable returns (uint256 amountOut_) {
        return _swapIn(swap0to1_, amountIn_, SwapInExtras(to_, amountOutMin_, false));
    }
    /// @dev Swap tokens with perfect amount in and callback functionality
    /// @param swap0to1_ Direction of swap. If true, swaps token0 for token1; if false, swaps token1 for token0
    /// @param amountIn_ The exact amount of tokens to swap in
    /// @param amountOutMin_ The minimum amount of tokens to receive after swap
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with amountOut_
    /// @return amountOut_ The amount of output tokens received from the swap
    function swapInWithCallback(
        bool swap0to1_,
        uint256 amountIn_,
        uint256 amountOutMin_,
        address to_
    ) public payable returns (uint256 amountOut_) {
        return _swapIn(swap0to1_, amountIn_, SwapInExtras(to_, amountOutMin_, true));
    }
    /// @dev Swap tokens with perfect amount out
    /// @param swap0to1_ Direction of swap. If true, swaps token0 for token1; if false, swaps token1 for token0
    /// @param amountOut_ The exact amount of tokens to receive after swap
    /// @param amountInMax_ Maximum amount of tokens to swap in
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with amountIn_
    /// @return amountIn_ The amount of input tokens used for the swap
    function swapOut(
        bool swap0to1_,
        uint256 amountOut_,
        uint256 amountInMax_,
        address to_
    ) public payable returns (uint256 amountIn_) {
        return abi.decode(_spell(PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION, msg.data), (uint256));
    }
    /// @dev Swap tokens with perfect amount out and callback functionality
    /// @param swap0to1_ Direction of swap. If true, swaps token0 for token1; if false, swaps token1 for token0
    /// @param amountOut_ The exact amount of tokens to receive after swap
    /// @param amountInMax_ Maximum amount of tokens to swap in
    /// @param to_ Recipient of swapped tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with amountIn_
    /// @return amountIn_ The amount of input tokens used for the swap
    function swapOutWithCallback(
        bool swap0to1_,
        uint256 amountOut_,
        uint256 amountInMax_,
        address to_
    ) public payable returns (uint256 amountIn_) {
        return abi.decode(_spell(PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION, msg.data), (uint256));
    }
    /// @dev Deposit tokens in equal proportion to the current pool ratio
    /// @param shares_ The number of shares to mint
    /// @param maxToken0Deposit_ Maximum amount of token0 to deposit
    /// @param maxToken1Deposit_ Maximum amount of token1 to deposit
    /// @param estimate_ If true, function will revert with estimated deposit amounts without executing the deposit
    /// @return token0Amt_ Amount of token0 deposited
    /// @return token1Amt_ Amount of token1 deposited
    function depositPerfect(
        uint shares_,
        uint maxToken0Deposit_,
        uint maxToken1Deposit_,
        bool estimate_
    ) public payable returns (uint token0Amt_, uint token1Amt_) {
        return abi.decode(_spell(PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION, msg.data), (uint256, uint256));
    }
    /// @dev This function allows users to withdraw a perfect amount of collateral liquidity
    /// @param shares_ The number of shares to withdraw
    /// @param minToken0Withdraw_ The minimum amount of token0 the user is willing to accept
    /// @param minToken1Withdraw_ The minimum amount of token1 the user is willing to accept
    /// @param to_ Recipient of withdrawn tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with token0Amt_ & token1Amt_
    /// @return token0Amt_ The amount of token0 withdrawn
    /// @return token1Amt_ The amount of token1 withdrawn
    function withdrawPerfect(
        uint shares_,
        uint minToken0Withdraw_,
        uint minToken1Withdraw_,
        address to_
    ) public returns (uint token0Amt_, uint token1Amt_) {
        return abi.decode(_spell(PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION, msg.data), (uint256, uint256));
    }
    /// @dev This function allows users to borrow tokens in equal proportion to the current debt pool ratio
    /// @param shares_ The number of shares to borrow
    /// @param minToken0Borrow_ Minimum amount of token0 to borrow
    /// @param minToken1Borrow_ Minimum amount of token1 to borrow
    /// @param to_ Recipient of borrowed tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with token0Amt_ & token1Amt_
    /// @return token0Amt_ Amount of token0 borrowed
    /// @return token1Amt_ Amount of token1 borrowed
    function borrowPerfect(
        uint shares_,
        uint minToken0Borrow_,
        uint minToken1Borrow_,
        address to_
    ) public returns (uint token0Amt_, uint token1Amt_) {
        return abi.decode(_spell(PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION, msg.data), (uint256, uint256));
    }
    /// @dev This function allows users to pay back borrowed tokens in equal proportion to the current debt pool ratio
    /// @param shares_ The number of shares to pay back
    /// @param maxToken0Payback_ Maximum amount of token0 to pay back
    /// @param maxToken1Payback_ Maximum amount of token1 to pay back
    /// @param estimate_ If true, function will revert with estimated payback amounts without executing the payback
    /// @return token0Amt_ Amount of token0 paid back
    /// @return token1Amt_ Amount of token1 paid back
    function paybackPerfect(
        uint shares_,
        uint maxToken0Payback_,
        uint maxToken1Payback_,
        bool estimate_
    ) public payable returns (uint token0Amt_, uint token1Amt_) {
        return abi.decode(_spell(PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION, msg.data), (uint256, uint256));
    }
    /// @dev This function allows users to deposit tokens in any proportion into the col pool
    /// @param token0Amt_ The amount of token0 to deposit
    /// @param token1Amt_ The amount of token1 to deposit
    /// @param minSharesAmt_ The minimum amount of shares the user expects to receive
    /// @param estimate_ If true, function will revert with estimated shares without executing the deposit
    /// @return shares_ The amount of shares minted for the deposit
    function deposit(
        uint token0Amt_,
        uint token1Amt_,
        uint minSharesAmt_,
        bool estimate_
    ) public payable returns (uint shares_) {
        return abi.decode(_spell(COL_OPERATIONS_IMPLEMENTATION, msg.data), (uint256));
    }
    /// @dev This function allows users to withdraw tokens in any proportion from the col pool
    /// @param token0Amt_ The amount of token0 to withdraw
    /// @param token1Amt_ The amount of token1 to withdraw
    /// @param maxSharesAmt_ The maximum number of shares the user is willing to burn
    /// @param to_ Recipient of withdrawn tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with shares_
    /// @return shares_ The number of shares burned for the withdrawal
    function withdraw(
        uint token0Amt_,
        uint token1Amt_,
        uint maxSharesAmt_,
        address to_
    ) public returns (uint shares_) {
        return abi.decode(_spell(COL_OPERATIONS_IMPLEMENTATION, msg.data), (uint256));
    }
    /// @dev This function allows users to borrow tokens in any proportion from the debt pool
    /// @param token0Amt_ The amount of token0 to borrow
    /// @param token1Amt_ The amount of token1 to borrow
    /// @param maxSharesAmt_ The maximum amount of shares the user is willing to receive
    /// @param to_ Recipient of borrowed tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with shares_
    /// @return shares_ The amount of borrow shares minted to represent the borrowed amount
    function borrow(
        uint token0Amt_,
        uint token1Amt_,
        uint maxSharesAmt_,
        address to_
    ) public returns (uint shares_) {
        return abi.decode(_spell(DEBT_OPERATIONS_IMPLEMENTATION, msg.data), (uint256));
    }
    /// @dev This function allows users to payback tokens in any proportion to the debt pool
    /// @param token0Amt_ The amount of token0 to payback
    /// @param token1Amt_ The amount of token1 to payback
    /// @param minSharesAmt_ The minimum amount of shares the user expects to burn
    /// @param estimate_ If true, function will revert with estimated shares without executing the payback
    /// @return shares_ The amount of borrow shares burned for the payback
    function payback(
        uint token0Amt_,
        uint token1Amt_,
        uint minSharesAmt_,
        bool estimate_
    ) public payable returns (uint shares_) {
        return abi.decode(_spell(DEBT_OPERATIONS_IMPLEMENTATION, msg.data), (uint256));
    }
    /// @dev This function allows users to withdraw their collateral with perfect shares in one token
    /// @param shares_ The number of shares to burn for withdrawal
    /// @param minToken0_ The minimum amount of token0 the user expects to receive (set to 0 if withdrawing in token1)
    /// @param minToken1_ The minimum amount of token1 the user expects to receive (set to 0 if withdrawing in token0)
    /// @param to_ Recipient of withdrawn tokens. If to_ == address(0) then out tokens will be sent to msg.sender. If to_ == ADDRESS_DEAD then function will revert with withdrawAmt_
    /// @return withdrawAmt_ The amount of tokens withdrawn in the chosen token
    function withdrawPerfectInOneToken(
        uint shares_,
        uint minToken0_,
        uint minToken1_,
        address to_
    ) public returns (uint withdrawAmt_) {
        return abi.decode(_spell(COL_OPERATIONS_IMPLEMENTATION, msg.data), (uint256));
    }
    /// @dev This function allows users to payback their debt with perfect shares in one token
    /// @param shares_ The number of shares to burn for payback
    /// @param maxToken0_ The maximum amount of token0 the user is willing to pay (set to 0 if paying back in token1)
    /// @param maxToken1_ The maximum amount of token1 the user is willing to pay (set to 0 if paying back in token0)
    /// @param estimate_ If true, the function will revert with the estimated payback amount without executing the payback
    /// @return paybackAmt_ The amount of tokens paid back in the chosen token
    function paybackPerfectInOneToken(
        uint shares_,
        uint maxToken0_,
        uint maxToken1_,
        bool estimate_
    ) public payable returns (uint paybackAmt_) {
        return abi.decode(_spell(DEBT_OPERATIONS_IMPLEMENTATION, msg.data), (uint256));
    }
    /// @dev liquidity callback for cheaper token transfers in case of deposit or payback.
    /// only callable by Liquidity during an operation.
    function liquidityCallback(address token_, uint amount_, bytes calldata data_) external {
        if (msg.sender != address(LIQUIDITY)) revert FluidDexError(ErrorTypes.DexT1__MsgSenderNotLiquidity);
        if (dexVariables & 1 == 0) revert FluidDexError(ErrorTypes.DexT1__ReentrancyBitShouldBeOn);
        if (data_.length != 96) revert FluidDexError(ErrorTypes.DexT1__IncorrectDataLength);
        (uint amountToSend_, bool isCallback_, address from_) = abi.decode(data_, (uint, bool, address));
        if (amountToSend_ < amount_) revert FluidDexError(ErrorTypes.DexT1__AmountToSendLessThanAmount);
        if (isCallback_) {
            IDexCallback(from_).dexCallback(token_, amountToSend_);
        } else {
            SafeTransfer.safeTransferFrom(token_, from_, address(LIQUIDITY), amountToSend_);
        }
    }
    /// @dev the oracle assumes last set price of pool till the next swap happens.
    /// There's a possibility that during that time some interest is generated hence the last stored price is not the 100% correct price for the whole duration
    /// but the difference due to interest will be super low so this difference is ignored
    /// For example 2 swaps happened 10min (600 seconds) apart and 1 token has 10% higher interest than other.
    /// then that token will accrue about 10% * 600 / secondsInAYear = ~0.0002%
    /// @param secondsAgos_ array of seconds ago for which TWAP is needed. If user sends [10, 30, 60] then twaps_ will return [10-0, 30-10, 60-30]
    /// @return twaps_ twap price, lowest price (aka minima) & highest price (aka maxima) between secondsAgo checkpoints
    /// @return currentPrice_ price of pool after the most recent swap
    function oraclePrice(
        uint[] memory secondsAgos_
    ) external view returns (Oracle[] memory twaps_, uint currentPrice_) {
        OraclePriceMemory memory o_;
        uint dexVariables_ = dexVariables;
        if ((dexVariables_ >> 195) & 1 == 0) {
            revert FluidDexError(ErrorTypes.DexT1__OracleNotActive);
        }
        twaps_ = new Oracle[](secondsAgos_.length);
        uint totalTime_;
        uint time_;
        uint i;
        uint secondsAgo_ = secondsAgos_[0];
        currentPrice_ = (dexVariables_ >> 41) & X40;
        currentPrice_ = (currentPrice_ >> DEFAULT_EXPONENT_SIZE) << (currentPrice_ & DEFAULT_EXPONENT_MASK);
        uint price_ = currentPrice_;
        o_.lowestPrice1by0 = currentPrice_;
        o_.highestPrice1by0 = currentPrice_;
        uint twap1by0_;
        uint twap0by1_;
        uint j;
        o_.oracleSlot = (dexVariables_ >> 176) & X3;
        o_.oracleMap = (dexVariables_ >> 179) & X16;
        // if o_.oracleSlot == 7 then it'll enter the if statement in the below while loop
        o_.oracle = o_.oracleSlot < 7 ? _oracle[o_.oracleMap] : 0;
        uint slotData_;
        uint percentDiff_;
        if (((dexVariables_ >> 121) & X33) < block.timestamp) {
            // last swap didn't occured in this block.
            // hence last price is current price of pool & also the last price
            time_ = block.timestamp - ((dexVariables_ >> 121) & X33);
        } else {
            // last swap occured in this block, that means current price is active for 0 secs. Hence TWAP for it will be 0.
            ++j;
        }
        while (true) {
            if (j == 2) {
                if (++o_.oracleSlot == 8) {
                    o_.oracleSlot = 0;
                    if (o_.oracleMap == 0) {
                        o_.oracleMap = TOTAL_ORACLE_MAPPING;
                    }
                    o_.oracle = _oracle[--o_.oracleMap];
                }
                slotData_ = (o_.oracle >> (o_.oracleSlot * 32)) & X32;
                if (slotData_ > 0) {
                    time_ = slotData_ & X9;
                    if (time_ == 0) {
                        // time is in precision & sign bits
                        time_ = slotData_ >> 9;
                        // if o_.oracleSlot is 7 then precision & bits and stored in 1 less map
                        if (o_.oracleSlot == 7) {
                            o_.oracleSlot = 0;
                            if (o_.oracleMap == 0) {
                                o_.oracleMap = TOTAL_ORACLE_MAPPING;
                            }
                            o_.oracle = _oracle[--o_.oracleMap];
                            slotData_ = o_.oracle & X32;
                        } else {
                            ++o_.oracleSlot;
                            slotData_ = (o_.oracle >> (o_.oracleSlot * 32)) & X32;
                        }
                    }
                    percentDiff_ = slotData_ >> 10;
                    percentDiff_ = (ORACLE_LIMIT * percentDiff_) / X22;
                    if (((slotData_ >> 9) & 1 == 1)) {
                        // if positive then old price was lower than current hence subtracting
                        price_ = price_ - (price_ * percentDiff_) / ORACLE_PRECISION;
                    } else {
                        // if negative then old price was higher than current hence adding
                        price_ = price_ + (price_ * percentDiff_) / ORACLE_PRECISION;
                    }
                } else {
                    // oracle data does not exist. Probably due to pool recently got initialized and not have much swaps.
                    revert FluidDexError(ErrorTypes.DexT1__InsufficientOracleData);
                }
            } else if (j == 1) {
                // last & last to last price
                price_ = (dexVariables_ >> 1) & X40;
                price_ = (price_ >> DEFAULT_EXPONENT_SIZE) << (price_ & DEFAULT_EXPONENT_MASK);
                time_ = (dexVariables_ >> 154) & X22;
                ++j;
            } else if (j == 0) {
                ++j;
            }
            totalTime_ += time_;
            if (o_.lowestPrice1by0 > price_) o_.lowestPrice1by0 = price_;
            if (o_.highestPrice1by0 < price_) o_.highestPrice1by0 = price_;
            if (totalTime_ < secondsAgo_) {
                twap1by0_ += price_ * time_;
                twap0by1_ += (1e54 / price_) * time_;
            } else {
                time_ = time_ + secondsAgo_ - totalTime_;
                twap1by0_ += price_ * time_;
                twap0by1_ += (1e54 / price_) * time_;
                // also auto checks that secondsAgos_ should not be == 0
                twap1by0_ = twap1by0_ / secondsAgo_;
                twap0by1_ = twap0by1_ / secondsAgo_;
                twaps_[i] = Oracle(
                    twap1by0_,
                    o_.lowestPrice1by0,
                    o_.highestPrice1by0,
                    twap0by1_,
                    (1e54 / o_.highestPrice1by0),
                    (1e54 / o_.lowestPrice1by0)
                );
                // TWAP for next secondsAgo will start with price_
                o_.lowestPrice1by0 = price_;
                o_.highestPrice1by0 = price_;
                while (++i < secondsAgos_.length) {
                    // secondsAgo_ = [60, 15, 0]
                    time_ = totalTime_ - secondsAgo_;
                    // updating total time as new seconds ago started
                    totalTime_ = time_;
                    // also auto checks that secondsAgos_[i + 1] > secondsAgos_[i]
                    secondsAgo_ = secondsAgos_[i] - secondsAgos_[i - 1];
                    if (totalTime_ < secondsAgo_) {
                        twap1by0_ = price_ * time_;
                        twap0by1_ = (1e54 / price_) * time_;
                        // if time_ comes out as 0 here then lowestPrice & highestPrice should not be price_, it should be next price_ that we will calculate
                        if (time_ == 0) {
                            o_.lowestPrice1by0 = type(uint).max;
                            o_.highestPrice1by0 = 0;
                        }
                        break;
                    } else {
                        time_ = time_ + secondsAgo_ - totalTime_;
                        // twap1by0_ = price_ here
                        twap1by0_ = price_ * time_;
                        // twap0by1_ = (1e54 / price_) * time_;
                        twap0by1_ = (1e54 / price_) * time_;
                        twap1by0_ = twap1by0_ / secondsAgo_;
                        twap0by1_ = twap0by1_ / secondsAgo_;
                        twaps_[i] = Oracle(
                            twap1by0_,
                            o_.lowestPrice1by0,
                            o_.highestPrice1by0,
                            twap0by1_,
                            (1e54 / o_.highestPrice1by0),
                            (1e54 / o_.lowestPrice1by0)
                        );
                    }
                }
                if (i == secondsAgos_.length) return (twaps_, currentPrice_); // oracle fetch over
            }
        }
    }
    function getPricesAndExchangePrices() public {
        uint dexVariables_ = dexVariables;
        uint dexVariables2_ = dexVariables2;
        _check(dexVariables_, dexVariables2_);
        PricesAndExchangePrice memory pex_ = _getPricesAndExchangePrices(dexVariables, dexVariables2);
        revert FluidDexPricesAndExchangeRates(pex_);
    }
    /// @dev Internal fallback function to handle calls to non-existent functions
    /// @notice This function is called when a transaction is sent to the contract without matching any other function
    /// @notice It checks if the caller is authorized, enables re-entrancy protection, delegates the call to the admin implementation, and then disables re-entrancy protection
    /// @notice Only authorized callers (global or dex auth) can trigger this function
    /// @notice This function uses assembly to perform a delegatecall to the admin implementation to update configs related to DEX
    function _fallback() private {
        if (!(DEX_FACTORY.isGlobalAuth(msg.sender) || DEX_FACTORY.isDexAuth(address(this), msg.sender))) {
            revert FluidDexError(ErrorTypes.DexT1__NotAnAuth);
        }
        uint dexVariables_ = dexVariables;
        if (dexVariables_ & 1 == 1) revert FluidDexError(ErrorTypes.DexT1__AlreadyEntered);
        // enabling re-entrancy
        dexVariables = dexVariables_ | 1;
        // Delegate the current call to `ADMIN_IMPLEMENTATION`.
        _spell(ADMIN_IMPLEMENTATION, msg.data);
        // disabling re-entrancy
        // directly fetching from storage so updates from Admin module will get auto covered
        dexVariables = dexVariables & ~uint(1);
    }
    fallback() external payable {
        _fallback();
    }
    receive() external payable {
        if (msg.sig != 0x00000000) {
            _fallback();
        }
    }
    /// @notice returns all Vault constants
    function constantsView() external view returns (ConstantViews memory constantsView_) {
        constantsView_.dexId = DEX_ID;
        constantsView_.liquidity = address(LIQUIDITY);
        constantsView_.factory = address(DEX_FACTORY);
        constantsView_.token0 = TOKEN_0;
        constantsView_.token1 = TOKEN_1;
        constantsView_.implementations.shift = SHIFT_IMPLEMENTATION;
        constantsView_.implementations.admin = ADMIN_IMPLEMENTATION;
        constantsView_.implementations.colOperations = COL_OPERATIONS_IMPLEMENTATION;
        constantsView_.implementations.debtOperations = DEBT_OPERATIONS_IMPLEMENTATION;
        constantsView_.implementations.perfectOperationsAndSwapOut = PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION;
        constantsView_.deployerContract = DEPLOYER_CONTRACT;
        constantsView_.supplyToken0Slot = SUPPLY_TOKEN_0_SLOT;
        constantsView_.borrowToken0Slot = BORROW_TOKEN_0_SLOT;
        constantsView_.supplyToken1Slot = SUPPLY_TOKEN_1_SLOT;
        constantsView_.borrowToken1Slot = BORROW_TOKEN_1_SLOT;
        constantsView_.exchangePriceToken0Slot = EXCHANGE_PRICE_TOKEN_0_SLOT;
        constantsView_.exchangePriceToken1Slot = EXCHANGE_PRICE_TOKEN_1_SLOT;
        constantsView_.oracleMapping = TOTAL_ORACLE_MAPPING;
    }
    /// @notice returns all Vault constants
    function constantsView2() external view returns (ConstantViews2 memory constantsView2_) {
        constantsView2_.token0NumeratorPrecision = TOKEN_0_NUMERATOR_PRECISION;
        constantsView2_.token0DenominatorPrecision = TOKEN_0_DENOMINATOR_PRECISION;
        constantsView2_.token1NumeratorPrecision = TOKEN_1_NUMERATOR_PRECISION;
        constantsView2_.token1DenominatorPrecision = TOKEN_1_DENOMINATOR_PRECISION;
    }
    /// @notice Calculates the real and imaginary reserves for collateral tokens
    /// @dev This function retrieves the supply of both tokens from the liquidity layer,
    ///      adjusts them based on exchange prices, and calculates imaginary reserves
    ///      based on the geometric mean and price range
    /// @param geometricMean_ The geometric mean of the token prices
    /// @param upperRange_ The upper price range
    /// @param lowerRange_ The lower price range
    /// @param token0SupplyExchangePrice_ The exchange price for token0 from liquidity layer
    /// @param token1SupplyExchangePrice_ The exchange price for token1 from liquidity layer
    /// @return c_ A struct containing the calculated real and imaginary reserves for both tokens:
    ///         - token0RealReserves: The real reserves of token0
    ///         - token1RealReserves: The real reserves of token1
    ///         - token0ImaginaryReserves: The imaginary reserves of token0
    ///         - token1ImaginaryReserves: The imaginary reserves of token1
    function getCollateralReserves(
        uint geometricMean_,
        uint upperRange_,
        uint lowerRange_,
        uint token0SupplyExchangePrice_,
        uint token1SupplyExchangePrice_
    ) public view returns (CollateralReserves memory c_) {
        return
            _getCollateralReserves(
                geometricMean_,
                upperRange_,
                lowerRange_,
                token0SupplyExchangePrice_,
                token1SupplyExchangePrice_
            );
    }
    /// @notice Calculates the debt reserves for both tokens
    /// @param geometricMean_ The geometric mean of the upper and lower price ranges
    /// @param upperRange_ The upper price range
    /// @param lowerRange_ The lower price range
    /// @param token0BorrowExchangePrice_ The exchange price of token0 from liquidity layer
    /// @param token1BorrowExchangePrice_ The exchange price of token1 from liquidity layer
    /// @return d_ The calculated debt reserves for both tokens, containing:
    ///         - token0Debt: The debt amount of token0
    ///         - token1Debt: The debt amount of token1
    ///         - token0RealReserves: The real reserves of token0 derived from token1 debt
    ///         - token1RealReserves: The real reserves of token1 derived from token0 debt
    ///         - token0ImaginaryReserves: The imaginary debt reserves of token0
    ///         - token1ImaginaryReserves: The imaginary debt reserves of token1
    function getDebtReserves(
        uint geometricMean_,
        uint upperRange_,
        uint lowerRange_,
        uint token0BorrowExchangePrice_,
        uint token1BorrowExchangePrice_
    ) public view returns (DebtReserves memory d_) {
        return
            _getDebtReserves(
                geometricMean_,
                upperRange_,
                lowerRange_,
                token0BorrowExchangePrice_,
                token1BorrowExchangePrice_
            );
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
abstract contract Events {
    /// @notice Emitted on token swaps
    /// @param swap0to1 Indicates whether the swap is from token0 to token1 or vice-versa.
    /// @param amountIn The amount of tokens to be sent to the vault to swap.
    /// @param amountOut The amount of tokens user got from the swap.
    /// @param to Recepient of swapped tokens.
    event Swap(bool swap0to1, uint256 amountIn, uint256 amountOut, address to);
    /// @notice Emitted when liquidity is added with shares specified.
    /// @param shares Expected exact shares to be received.
    /// @param token0Amt Amount of token0 deposited.
    /// @param token0Amt Amount of token1 deposited.
    event LogDepositPerfectColLiquidity(uint shares, uint token0Amt, uint token1Amt);
    /// @notice Emitted when liquidity is withdrawn with shares specified.
    /// @param shares shares burned
    /// @param token0Amt Amount of token0 withdrawn.
    /// @param token1Amt Amount of token1 withdrawn.
    event LogWithdrawPerfectColLiquidity(uint shares, uint token0Amt, uint token1Amt);
    /// @notice Emitted when liquidity is borrowed with shares specified.
    /// @param shares shares minted
    /// @param token0Amt Amount of token0 borrowed.
    /// @param token1Amt Amount of token1 borrowed.
    event LogBorrowPerfectDebtLiquidity(uint shares, uint token0Amt, uint token1Amt);
    /// @notice Emitted when liquidity is paid back with shares specified.
    /// @param shares shares burned
    /// @param token0Amt Amount of token0 paid back.
    /// @param token1Amt Amount of token1 paid back.
    event LogPaybackPerfectDebtLiquidity(uint shares, uint token0Amt, uint token1Amt);
    /// @notice Emitted when liquidity is deposited with specified token0 & token1 amount
    /// @param amount0 Amount of token0 deposited.
    /// @param amount1 Amount of token1 deposited.
    /// @param shares Amount of shares minted.
    event LogDepositColLiquidity(uint amount0, uint amount1, uint shares);
    /// @notice Emitted when liquidity is withdrawn with specified token0 & token1 amount
    /// @param amount0 Amount of token0 withdrawn.
    /// @param amount1 Amount of token1 withdrawn.
    /// @param shares Amount of shares burned.
    event LogWithdrawColLiquidity(uint amount0, uint amount1, uint shares);
    /// @notice Emitted when liquidity is borrowed with specified token0 & token1 amount
    /// @param amount0 Amount of token0 borrowed.
    /// @param amount1 Amount of token1 borrowed.
    /// @param shares Amount of shares minted.
    event LogBorrowDebtLiquidity(uint amount0, uint amount1, uint shares);
    /// @notice Emitted when liquidity is paid back with specified token0 & token1 amount
    /// @param amount0 Amount of token0 paid back.
    /// @param amount1 Amount of token1 paid back.
    /// @param shares Amount of shares burned.
    event LogPaybackDebtLiquidity(uint amount0, uint amount1, uint shares);
    /// @notice Emitted when liquidity is withdrawn with shares specified into one token only.
    /// @param shares shares burned
    /// @param token0Amt Amount of token0 withdrawn.
    /// @param token1Amt Amount of token1 withdrawn.
    event LogWithdrawColInOneToken(uint shares, uint token0Amt, uint token1Amt);
    /// @notice Emitted when liquidity is paid back with shares specified from one token only.
    /// @param shares shares burned
    /// @param token0Amt Amount of token0 paid back.
    /// @param token1Amt Amount of token1 paid back.
    event LogPaybackDebtInOneToken(uint shares, uint token0Amt, uint token1Amt);
    /// @notice Emitted when internal arbitrage between 2 pools happen
    /// @param routing if positive then routing is amtIn of token0 in deposit & borrow else token0 withdraw & payback
    /// @param amtOut if routing is positive then token1 withdraw & payback amount else token1 deposit & borrow
    event LogArbitrage(int routing, uint amtOut);
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { FixedPointMathLib } from "solmate/src/utils/FixedPointMathLib.sol";
import { Variables } from "../../common/variables.sol";
import { ImmutableVariables } from "../immutableVariables.sol";
import { Events } from "../events.sol";
import { ErrorTypes } from "../../../errorTypes.sol";
import { IHook, ICenterPrice } from "../interfaces.sol";
import { LiquiditySlotsLink } from "../../../../../libraries/liquiditySlotsLink.sol";
import { LiquidityCalcs } from "../../../../../libraries/liquidityCalcs.sol";
import { DexSlotsLink } from "../../../../../libraries/dexSlotsLink.sol";
import { DexCalcs } from "../../../../../libraries/dexCalcs.sol";
import { BigMathMinified } from "../../../../../libraries/bigMathMinified.sol";
import { AddressCalcs } from "../../../../../libraries/addressCalcs.sol";
interface IShifting {
    /// @dev Calculates the new upper and lower range values during an active range shift
    /// @param upperRange_ The target upper range value
    /// @param lowerRange_ The target lower range value
    /// @param dexVariables2_ needed in case shift is ended and we need to update dexVariables2
    /// @return The updated upper range, lower range, and dexVariables2
    function _calcRangeShifting(
        uint upperRange_,
        uint lowerRange_,
        uint dexVariables2_
    ) external payable returns (uint, uint, uint);
    /// @dev Calculates the new threshold values during an active threshold shift
    /// @param upperThreshold_ The target upper threshold value
    /// @param lowerThreshold_ The target lower threshold value
    /// @param dexVariables2_ needed in case shift is ended and we need to update dexVariables2
    /// @return The updated upper threshold, lower threshold, and dexVariables2
    function _calcThresholdShifting(
        uint upperThreshold_,
        uint lowerThreshold_,
        uint dexVariables2_
    ) external payable returns (uint, uint, uint);
    /// @dev Calculates the new center price during an active center price shift
    /// @param dexVariables_ The current state of dex variables
    /// @param dexVariables2_ Additional dex variables
    /// @return The updated center price
    function _calcCenterPrice(
        uint dexVariables_,
        uint dexVariables2_
    ) external payable returns (uint);
}
abstract contract CoreHelpers is Variables, ImmutableVariables, Events {
    using BigMathMinified for uint256;
    /// @dev            do any arbitrary call
    /// @param target_  Address to which the call needs to be delegated
    /// @param data_    Data to execute at the delegated address
    function _spell(address target_, bytes memory data_) internal returns (bytes memory response_) {
        assembly {
            let succeeded := delegatecall(gas(), target_, add(data_, 0x20), mload(data_), 0, 0)
            let size := returndatasize()
            response_ := mload(0x40)
            mstore(0x40, add(response_, and(add(add(size, 0x20), 0x1f), not(0x1f))))
            mstore(response_, size)
            returndatacopy(add(response_, 0x20), 0, size)
            if iszero(succeeded) {
                // throw if delegatecall failed
                returndatacopy(0x00, 0x00, size)
                revert(0x00, size)
            }
        }
    }
    /// @dev Given an input amount of asset and pair reserves, returns the maximum output amount of the other asset
    /// @param amountIn_ The amount of input asset.
    /// @param iReserveIn_ Imaginary token reserve with input amount.
    /// @param iReserveOut_ Imaginary token reserve of output amount.
    function _getAmountOut(
        uint256 amountIn_,
        uint iReserveIn_,
        uint iReserveOut_
    ) internal pure returns (uint256 amountOut_) {
        unchecked {
            // Both numerator and denominator are scaled to 1e6 to factor in fee scaling.
            uint256 numerator_ = amountIn_ * iReserveOut_;
            uint256 denominator_ = iReserveIn_ + amountIn_;
            // Using the swap formula: (AmountIn * iReserveY) / (iReserveX + AmountIn)
            amountOut_ = numerator_ / denominator_;
        }
    }
    /// @dev Given an output amount of asset and pair reserves, returns the input amount of the other asset
    /// @param amountOut_ Desired output amount of the asset.
    /// @param iReserveIn_ Imaginary token reserve of input amount.
    /// @param iReserveOut_ Imaginary token reserve of output amount.
    function _getAmountIn(
        uint256 amountOut_,
        uint iReserveIn_,
        uint iReserveOut_
    ) internal pure returns (uint256 amountIn_) {
        // Both numerator and denominator are scaled to 1e6 to factor in fee scaling.
        uint256 numerator_ = amountOut_ * iReserveIn_;
        uint256 denominator_ = iReserveOut_ - amountOut_;
        // Using the swap formula: (AmountOut * iReserveX) / (iReserveY - AmountOut)
        amountIn_ = numerator_ / denominator_;
    }
    /// @param t total amount in
    /// @param x imaginary reserves of token out of collateral
    /// @param y imaginary reserves of token in of collateral
    /// @param x2 imaginary reserves of token out of debt
    /// @param y2 imaginary reserves of token in of debt
    /// @return a_ how much swap should go through collateral pool. Remaining will go from debt
    /// note if a < 0 then entire trade route through debt pool and debt pool arbitrage with col pool
    /// note if a > t then entire trade route through col pool and col pool arbitrage with debt pool
    /// note if a > 0 & a < t then swap will route through both pools
    function _swapRoutingIn(uint t, uint x, uint y, uint x2, uint y2) internal pure returns (int a_) {
        // Main equations:
        // 1. out = x * a / (y + a)
        // 2. out2 = x2 * (t - a) / (y2 + (t - a))
        // final price should be same
        // 3. (y + a) / (x - out) = (y2 + (t - a)) / (x2 - out2)
        // derivation: https://chatgpt.com/share/dce6f381-ee5f-4d5f-b6ea-5996e84d5b57
        // adding 1e18 precision
        uint xyRoot_ = FixedPointMathLib.sqrt(x * y * 1e18);
        uint x2y2Root_ = FixedPointMathLib.sqrt(x2 * y2 * 1e18);
        a_ = (int(y2 * xyRoot_ + t * xyRoot_) - int(y * x2y2Root_)) / int(xyRoot_ + x2y2Root_);
    }
    /// @param t total amount out
    /// @param x imaginary reserves of token in of collateral
    /// @param y imaginary reserves of token out of collateral
    /// @param x2 imaginary reserves of token in of debt
    /// @param y2 imaginary reserves of token out of debt
    /// @return a_ how much swap should go through collateral pool. Remaining will go from debt
    /// note if a < 0 then entire trade route through debt pool and debt pool arbitrage with col pool
    /// note if a > t then entire trade route through col pool and col pool arbitrage with debt pool
    /// note if a > 0 & a < t then swap will route through both pools
    function _swapRoutingOut(uint t, uint x, uint y, uint x2, uint y2) internal pure returns (int a_) {
        // Main equations:
        // 1. in = (x * a) / (y - a)
        // 2. in2 = (x2 * (t - a)) / (y2 - (t - a))
        // final price should be same
        // 3. (y - a) / (x + in) = (y2 - (t - a)) / (x2 + in2)
        // derivation: https://chatgpt.com/share/6585bc28-841f-49ec-aea2-1e5c5b7f4fa9
        // adding 1e18 precision
        uint xyRoot_ = FixedPointMathLib.sqrt(x * y * 1e18);
        uint x2y2Root_ = FixedPointMathLib.sqrt(x2 * y2 * 1e18);
        // 1e18 precision gets cancelled out in division
        a_ = (int(t * xyRoot_ + y * x2y2Root_) - int(y2 * xyRoot_)) / int(xyRoot_ + x2y2Root_);
    }
    function _utilizationVerify(uint utilizationLimit_, bytes32 exchangePriceSlot_) internal view {
        if (utilizationLimit_ < THREE_DECIMALS) {
            utilizationLimit_ = utilizationLimit_ * 10;
            // extracting utilization of token from liquidity layer
            uint liquidityLayerUtilization_ = LIQUIDITY.readFromStorage(exchangePriceSlot_);
            liquidityLayerUtilization_ =
                (liquidityLayerUtilization_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_UTILIZATION) &
                X14;
            // Note: this can go slightly above the utilization limit if no update is written to storage at liquidity layer
            // if swap was not big enough to go far enough above or any other storage update threshold write cause there
            // so just to keep in mind when configuring the actual limit reachable can be utilizationLimit_ + storageUpdateThreshold at Liquidity
            if (liquidityLayerUtilization_ > utilizationLimit_)
                revert FluidDexError(ErrorTypes.DexT1__LiquidityLayerTokenUtilizationCapReached);
        }
    }
    function _check(uint dexVariables_, uint dexVariables2_) internal {
        if (dexVariables_ & 1 == 1) revert FluidDexError(ErrorTypes.DexT1__AlreadyEntered);
        if (dexVariables2_ & 3 == 0) revert FluidDexError(ErrorTypes.DexT1__PoolNotInitialized);
        // enabling re-entrancy
        dexVariables = dexVariables_ | 1;
    }
    /// @dev if token0 reserves are too low w.r.t token1 then revert, this is to avoid edge case scenario and making sure that precision on calculations should be high enough
    function _verifyToken0Reserves(
        uint token0Reserves_,
        uint token1Reserves_,
        uint centerPrice_,
        uint minLiquidity_
    ) internal pure {
        if (((token0Reserves_) < ((token1Reserves_ * 1e27) / (centerPrice_ * minLiquidity_)))) {
            revert FluidDexError(ErrorTypes.DexT1__TokenReservesTooLow);
        }
    }
    /// @dev if token1 reserves are too low w.r.t token0 then revert, this is to avoid edge case scenario and making sure that precision on calculations should be high enough
    function _verifyToken1Reserves(
        uint token0Reserves_,
        uint token1Reserves_,
        uint centerPrice_,
        uint minLiquidity_
    ) internal pure {
        if (((token1Reserves_) < ((token0Reserves_ * centerPrice_) / (1e27 * minLiquidity_)))) {
            revert FluidDexError(ErrorTypes.DexT1__TokenReservesTooLow);
        }
    }
    function _verifySwapAndNonPerfectActions(uint amountAdjusted_, uint amount_) internal pure {
        // after shifting amount should not become 0
        // limiting to six decimals which means in case of USDC, USDT it's 1 wei, for WBTC 100 wei, for ETH 1000 gwei
        if (amountAdjusted_ < SIX_DECIMALS || amountAdjusted_ > X96 || amount_ < TWO_DECIMALS || amount_ > X128)
            revert FluidDexError(ErrorTypes.DexT1__LimitingAmountsSwapAndNonPerfectActions);
    }
    /// @dev Calculates the new upper and lower range values during an active range shift
    /// @param upperRange_ The target upper range value
    /// @param lowerRange_ The target lower range value
    /// @param dexVariables2_ needed in case shift is ended and we need to update dexVariables2
    /// @return The updated upper range, lower range, and dexVariables2
    /// @notice This function handles the gradual shifting of range values over time
    /// @notice If the shift is complete, it updates the state and clears the shift data
    function _calcRangeShifting(
        uint upperRange_,
        uint lowerRange_,
        uint dexVariables2_
    ) internal returns (uint, uint, uint) {
        return
            abi.decode(
                _spell(
                    SHIFT_IMPLEMENTATION,
                    abi.encodeWithSelector(
                        IShifting._calcRangeShifting.selector,
                        upperRange_,
                        lowerRange_,
                        dexVariables2_
                    )
                ),
                (uint, uint, uint)
            );
    }
    /// @dev Calculates the new upper and lower threshold values during an active threshold shift
    /// @param upperThreshold_ The target upper threshold value
    /// @param lowerThreshold_ The target lower threshold value
    /// @param thresholdTime_ The time passed since shifting started
    /// @return The updated upper threshold, lower threshold, and threshold time
    /// @notice This function handles the gradual shifting of threshold values over time
    /// @notice If the shift is complete, it updates the state and clears the shift data
    function _calcThresholdShifting(
        uint upperThreshold_,
        uint lowerThreshold_,
        uint thresholdTime_
    ) internal returns (uint, uint, uint) {
        return
            abi.decode(
                _spell(
                    SHIFT_IMPLEMENTATION,
                    abi.encodeWithSelector(
                        IShifting._calcThresholdShifting.selector,
                        upperThreshold_,
                        lowerThreshold_,
                        thresholdTime_
                    )
                ),
                (uint, uint, uint)
            );
    }
    /// @dev Calculates the new center price during an active price shift
    /// @param dexVariables_ The current state of dex variables
    /// @param dexVariables2_ Additional dex variables
    /// @return newCenterPrice_ The updated center price
    /// @notice This function gradually shifts the center price towards a new target price over time
    /// @notice It uses an external price source (via ICenterPrice) to determine the target price
    /// @notice The shift continues until the current price reaches the target, or the shift duration ends
    /// @notice Once the shift is complete, it updates the state and clears the shift data
    /// @notice The shift rate is dynamic and depends on:
    /// @notice - Time remaining in the shift duration
    /// @notice - The new center price (fetched externally, which may change)
    /// @notice - The current (old) center price
    /// @notice This results in a fuzzy shifting mechanism where the rate can change as these parameters evolve
    /// @notice The externally fetched new center price is expected to not differ significantly from the last externally fetched center price
    function _calcCenterPrice(uint dexVariables_, uint dexVariables2_) internal returns (uint newCenterPrice_) {
        return
            abi.decode(
                _spell(
                    SHIFT_IMPLEMENTATION,
                    abi.encodeWithSelector(IShifting._calcCenterPrice.selector, dexVariables_, dexVariables2_)
                ),
                (uint)
            );
    }
    /// @notice Calculates and returns the current prices and exchange prices for the pool
    /// @param dexVariables_ The first set of DEX variables containing various pool parameters
    /// @param dexVariables2_ The second set of DEX variables containing additional pool parameters
    /// @return pex_ A struct containing the calculated prices and exchange prices:
    ///         - pex_.lastStoredPrice: The last stored price in 1e27 decimals
    ///         - pex_.centerPrice: The calculated or fetched center price in 1e27 decimals
    ///         - pex_.upperRange: The upper range price limit in 1e27 decimals
    ///         - pex_.lowerRange: The lower range price limit in 1e27 decimals
    ///         - pex_.geometricMean: The geometric mean of upper range & lower range in 1e27 decimals
    ///         - pex_.supplyToken0ExchangePrice: The current exchange price for supplying token0
    ///         - pex_.borrowToken0ExchangePrice: The current exchange price for borrowing token0
    ///         - pex_.supplyToken1ExchangePrice: The current exchange price for supplying token1
    ///         - pex_.borrowToken1ExchangePrice: The current exchange price for borrowing token1
    /// @dev This function performs the following operations:
    ///      1. Determines the center price (either from storage, external source, or calculated)
    ///      2. Retrieves the last stored price from dexVariables_
    ///      3. Calculates the upper and lower range prices based on the center price and range percentages
    ///      4. Checks if rebalancing is needed based on threshold settings
    ///      5. Adjusts prices if necessary based on the time elapsed and threshold conditions
    ///      6. Update the dexVariables2_ if changes were made
    ///      7. Returns the calculated prices and exchange prices in the PricesAndExchangePrice struct
    function _getPricesAndExchangePrices(
        uint dexVariables_,
        uint dexVariables2_
    ) internal returns (PricesAndExchangePrice memory pex_) {
        uint centerPrice_;
        if (((dexVariables2_ >> 248) & 1) == 0) {
            // centerPrice_ => center price hook
            centerPrice_ = (dexVariables2_ >> 112) & X30;
            if (centerPrice_ == 0) {
                centerPrice_ = (dexVariables_ >> 81) & X40;
                centerPrice_ = (centerPrice_ >> DEFAULT_EXPONENT_SIZE) << (centerPrice_ & DEFAULT_EXPONENT_MASK);
            } else {
                // center price should be fetched from external source. For exmaple, in case of wstETH <> ETH pool,
                // we would want the center price to be pegged to wstETH exchange rate into ETH
                centerPrice_ = ICenterPrice(AddressCalcs.addressCalc(DEPLOYER_CONTRACT, centerPrice_)).centerPrice();
            }
        } else {
            // an active centerPrice_ shift is going on
            centerPrice_ = _calcCenterPrice(dexVariables_, dexVariables2_);
        }
        uint lastStoredPrice_ = (dexVariables_ >> 41) & X40;
        lastStoredPrice_ = (lastStoredPrice_ >> DEFAULT_EXPONENT_SIZE) << (lastStoredPrice_ & DEFAULT_EXPONENT_MASK);
        uint upperRange_ = ((dexVariables2_ >> 27) & X20);
        uint lowerRange_ = ((dexVariables2_ >> 47) & X20);
        if (((dexVariables2_ >> 26) & 1) == 1) {
            // an active range shift is going on
            (upperRange_, lowerRange_, dexVariables2_) = _calcRangeShifting(upperRange_, lowerRange_, dexVariables2_);
        }
        unchecked {
            // adding into unchecked because upperRange_ & lowerRange_ can only be > 0 & < SIX_DECIMALS
            // 1% = 1e4, 100% = 1e6
            upperRange_ = (centerPrice_ * SIX_DECIMALS) / (SIX_DECIMALS - upperRange_);
            // 1% = 1e4, 100% = 1e6
            lowerRange_ = (centerPrice_ * (SIX_DECIMALS - lowerRange_)) / SIX_DECIMALS;
        }
        bool changed_;
        {
            // goal will be to keep threshold percents 0 if center price is fetched from external source
            // checking if threshold are set non 0 then only rebalancing is on
            if (((dexVariables2_ >> 68) & X20) > 0) {
                uint upperThreshold_ = (dexVariables2_ >> 68) & X10;
                uint lowerThreshold_ = (dexVariables2_ >> 78) & X10;
                uint shiftingTime_ = (dexVariables2_ >> 88) & X24;
                if (((dexVariables2_ >> 67) & 1) == 1) {
                    // if active shift is going on for threshold then calculate threshold real time
                    (upperThreshold_, lowerThreshold_, shiftingTime_) = _calcThresholdShifting(
                        upperThreshold_,
                        lowerThreshold_,
                        shiftingTime_
                    );
                }
                unchecked {
                    if (
                        lastStoredPrice_ >
                        (centerPrice_ +
                            ((upperRange_ - centerPrice_) * (THREE_DECIMALS - upperThreshold_)) /
                            THREE_DECIMALS)
                    ) {
                        uint timeElapsed_ = block.timestamp - ((dexVariables_ >> 121) & X33);
                        // price shifting towards upper range
                        if (timeElapsed_ < shiftingTime_) {
                            centerPrice_ = centerPrice_ + ((upperRange_ - centerPrice_) * timeElapsed_) / shiftingTime_;
                        } else {
                            // 100% price shifted
                            centerPrice_ = upperRange_;
                        }
                        changed_ = true;
                    } else if (
                        lastStoredPrice_ <
                        (centerPrice_ -
                            ((centerPrice_ - lowerRange_) * (THREE_DECIMALS - lowerThreshold_)) /
                            THREE_DECIMALS)
                    ) {
                        uint timeElapsed_ = block.timestamp - ((dexVariables_ >> 121) & X33);
                        // price shifting towards lower range
                        if (timeElapsed_ < shiftingTime_) {
                            centerPrice_ = centerPrice_ - ((centerPrice_ - lowerRange_) * timeElapsed_) / shiftingTime_;
                        } else {
                            // 100% price shifted
                            centerPrice_ = lowerRange_;
                        }
                        changed_ = true;
                    }
                }
            }
        }
        // temp_ => max center price
        uint temp_ = (dexVariables2_ >> 172) & X28;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        if (centerPrice_ > temp_) {
            // if center price is greater than max center price
            centerPrice_ = temp_;
            changed_ = true;
        } else {
            // check if center price is less than min center price
            // temp_ => min center price
            temp_ = (dexVariables2_ >> 200) & X28;
            temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
            if (centerPrice_ < temp_) {
                centerPrice_ = temp_;
                changed_ = true;
            }
        }
        // if centerPrice_ is changed then calculating upper and lower range again
        if (changed_) {
            upperRange_ = ((dexVariables2_ >> 27) & X20);
            lowerRange_ = ((dexVariables2_ >> 47) & X20);
            if (((dexVariables2_ >> 26) & 1) == 1) {
                (upperRange_, lowerRange_, dexVariables2_) = _calcRangeShifting(
                    upperRange_,
                    lowerRange_,
                    dexVariables2_
                );
            }
            unchecked {
                // adding into unchecked because upperRange_ & lowerRange_ can only be > 0 & < SIX_DECIMALS
                // 1% = 1e4, 100% = 1e6
                upperRange_ = (centerPrice_ * SIX_DECIMALS) / (SIX_DECIMALS - upperRange_);
                // 1% = 1e4, 100% = 1e6
                lowerRange_ = (centerPrice_ * (SIX_DECIMALS - lowerRange_)) / SIX_DECIMALS;
            }
        }
        pex_.lastStoredPrice = lastStoredPrice_;
        pex_.centerPrice = centerPrice_;
        pex_.upperRange = upperRange_;
        pex_.lowerRange = lowerRange_;
        unchecked {
            if (upperRange_ < 1e38) {
                // 1e38 * 1e38 = 1e76 which is less than max uint limit
                pex_.geometricMean = FixedPointMathLib.sqrt(upperRange_ * lowerRange_);
            } else {
                // upperRange_ price is pretty large hence lowerRange_ will also be pretty large
                pex_.geometricMean = FixedPointMathLib.sqrt((upperRange_ / 1e18) * (lowerRange_ / 1e18)) * 1e18;
            }
        }
        // Exchange price will remain same as Liquidity Layer
        (pex_.supplyToken0ExchangePrice, pex_.borrowToken0ExchangePrice) = LiquidityCalcs.calcExchangePrices(
            LIQUIDITY.readFromStorage(EXCHANGE_PRICE_TOKEN_0_SLOT)
        );
        (pex_.supplyToken1ExchangePrice, pex_.borrowToken1ExchangePrice) = LiquidityCalcs.calcExchangePrices(
            LIQUIDITY.readFromStorage(EXCHANGE_PRICE_TOKEN_1_SLOT)
        );
    }
    /// @dev getting reserves outside range.
    /// @param gp_ is geometric mean pricing of upper percent & lower percent
    /// @param pa_ price of upper range or lower range
    /// @param rx_ real reserves of token0 or token1
    /// @param ry_ whatever is rx_ the other will be ry_
    function _calculateReservesOutsideRange(
        uint gp_,
        uint pa_,
        uint rx_,
        uint ry_
    ) internal pure returns (uint xa_, uint yb_) {
        // equations we have:
        // 1. x*y = k
        // 2. xa*ya = k
        // 3. xb*yb = k
        // 4. Pa = ya / xa = upperRange_ (known)
        // 5. Pb = yb / xb = lowerRange_ (known)
        // 6. x - xa = rx = real reserve of x (known)
        // 7. y - yb = ry = real reserve of y (known)
        // With solving we get:
        // ((Pa*Pb)^(1/2) - Pa)*xa^2 + (rx * (Pa*Pb)^(1/2) + ry)*xa + rx*ry = 0
        // yb = yb = xa * (Pa * Pb)^(1/2)
        // xa = (GP⋅rx + ry + (-rx⋅ry⋅4⋅(GP - Pa) + (GP⋅rx + ry)^2)^0.5) / (2Pa - 2GP)
        // multiply entire equation by 1e27 to remove the price decimals precision of 1e27
        // xa = (GP⋅rx + ry⋅1e27 + (rx⋅ry⋅4⋅(Pa - GP)⋅1e27 + (GP⋅rx + ry⋅1e27)^2)^0.5) / 2*(Pa - GP)
        // dividing the equation with 2*(Pa - GP). Pa is always > GP so answer will be positive.
        // xa = (((GP⋅rx + ry⋅1e27) / 2*(Pa - GP)) + (((rx⋅ry⋅4⋅(Pa - GP)⋅1e27) / 4*(Pa - GP)^2) + ((GP⋅rx + ry⋅1e27) / 2*(Pa - GP))^2)^0.5)
        // xa = (((GP⋅rx + ry⋅1e27) / 2*(Pa - GP)) + (((rx⋅ry⋅1e27) / (Pa - GP)) + ((GP⋅rx + ry⋅1e27) / 2*(Pa - GP))^2)^0.5)
        // dividing in 3 parts for simplification:
        // part1 = (Pa - GP)
        // part2 = (GP⋅rx + ry⋅1e27) / (2*part1)
        // part3 = rx⋅ry
        // note: part1 will almost always be < 1e28 but in case it goes above 1e27 then it's extremely unlikely it'll go above > 1e29
        uint p1_ = pa_ - gp_;
        uint p2_ = ((gp_ * rx_) + (ry_ * 1e27)) / (2 * p1_);
        uint p3_ = rx_ * ry_;
        // to avoid overflowing
        p3_ = (p3_ < 1e50) ? ((p3_ * 1e27) / p1_) : (p3_ / p1_) * 1e27;
        // xa = part2 + (part3 + (part2 * part2))^(1/2)
        // yb = xa_ * gp_
        xa_ = p2_ + FixedPointMathLib.sqrt((p3_ + (p2_ * p2_)));
        yb_ = (xa_ * gp_) / 1e27;
    }
    /// @dev Retrieves collateral amount from liquidity layer for a given token
    /// @param supplyTokenSlot_ The storage slot for the supply token data
    /// @param tokenExchangePrice_ The exchange price of the token
    /// @param isToken0_ Boolean indicating if the token is token0 (true) or token1 (false)
    /// @return tokenSupply_ The calculated liquidity collateral amount
    function _getLiquidityCollateral(
        bytes32 supplyTokenSlot_,
        uint tokenExchangePrice_,
        bool isToken0_
    ) internal view returns (uint tokenSupply_) {
        uint tokenSupplyData_ = LIQUIDITY.readFromStorage(supplyTokenSlot_);
        tokenSupply_ = (tokenSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_AMOUNT) & X64;
        tokenSupply_ = (tokenSupply_ >> DEFAULT_EXPONENT_SIZE) << (tokenSupply_ & DEFAULT_EXPONENT_MASK);
        if (tokenSupplyData_ & 1 == 1) {
            // supply with interest is on
            unchecked {
                tokenSupply_ = (tokenSupply_ * tokenExchangePrice_) / LiquidityCalcs.EXCHANGE_PRICES_PRECISION;
            }
        }
        unchecked {
            tokenSupply_ = isToken0_
                ? ((tokenSupply_ * TOKEN_0_NUMERATOR_PRECISION) / TOKEN_0_DENOMINATOR_PRECISION)
                : ((tokenSupply_ * TOKEN_1_NUMERATOR_PRECISION) / TOKEN_1_DENOMINATOR_PRECISION);
        }
    }
    /// @notice Calculates the real and imaginary reserves for collateral tokens
    /// @dev This function retrieves the supply of both tokens from the liquidity layer,
    ///      adjusts them based on exchange prices, and calculates imaginary reserves
    ///      based on the geometric mean and price range
    /// @param geometricMean_ The geometric mean of the token prices
    /// @param upperRange_ The upper price range
    /// @param lowerRange_ The lower price range
    /// @param token0SupplyExchangePrice_ The exchange price for token0 from liquidity layer
    /// @param token1SupplyExchangePrice_ The exchange price for token1 from liquidity layer
    /// @return c_ A struct containing the calculated real and imaginary reserves for both tokens:
    ///         - token0RealReserves: The real reserves of token0
    ///         - token1RealReserves: The real reserves of token1
    ///         - token0ImaginaryReserves: The imaginary reserves of token0
    ///         - token1ImaginaryReserves: The imaginary reserves of token1
    function _getCollateralReserves(
        uint geometricMean_,
        uint upperRange_,
        uint lowerRange_,
        uint token0SupplyExchangePrice_,
        uint token1SupplyExchangePrice_
    ) internal view returns (CollateralReserves memory c_) {
        uint token0Supply_ = _getLiquidityCollateral(SUPPLY_TOKEN_0_SLOT, token0SupplyExchangePrice_, true);
        uint token1Supply_ = _getLiquidityCollateral(SUPPLY_TOKEN_1_SLOT, token1SupplyExchangePrice_, false);
        if (geometricMean_ < 1e27) {
            (c_.token0ImaginaryReserves, c_.token1ImaginaryReserves) = _calculateReservesOutsideRange(
                geometricMean_,
                upperRange_,
                token0Supply_,
                token1Supply_
            );
        } else {
            // inversing, something like `xy = k` so for calculation we are making everything related to x into y & y into x
            // 1 / geometricMean for new geometricMean
            // 1 / lowerRange will become upper range
            // 1 / upperRange will become lower range
            (c_.token1ImaginaryReserves, c_.token0ImaginaryReserves) = _calculateReservesOutsideRange(
                (1e54 / geometricMean_),
                (1e54 / lowerRange_),
                token1Supply_,
                token0Supply_
            );
        }
        c_.token0RealReserves = token0Supply_;
        c_.token1RealReserves = token1Supply_;
        unchecked {
            c_.token0ImaginaryReserves += token0Supply_;
            c_.token1ImaginaryReserves += token1Supply_;
        }
    }
    /// @notice Calculates the real and imaginary debt reserves for both tokens
    /// @dev This function uses a quadratic equation to determine the debt reserves
    ///      based on the geometric mean price and the current debt amounts
    /// @param gp_ The geometric mean price of upper range & lower range
    /// @param pb_ The price of lower range
    /// @param dx_ The debt amount of one token
    /// @param dy_ The debt amount of the other token
    /// @return rx_ The real debt reserve of the first token
    /// @return ry_ The real debt reserve of the second token
    /// @return irx_ The imaginary debt reserve of the first token
    /// @return iry_ The imaginary debt reserve of the second token
    function _calculateDebtReserves(
        uint gp_,
        uint pb_,
        uint dx_,
        uint dy_
    ) internal pure returns (uint rx_, uint ry_, uint irx_, uint iry_) {
        // Assigning letter to knowns:
        // c = debtA
        // d = debtB
        // e = upperPrice
        // f = lowerPrice
        // g = upperPrice^1/2
        // h = lowerPrice^1/2
        // c = 1
        // d = 2000
        // e = 2222.222222
        // f = 1800
        // g = 2222.222222^1/2
        // h = 1800^1/2
        // Assigning letter to unknowns:
        // w = realDebtReserveA
        // x = realDebtReserveB
        // y = imaginaryDebtReserveA
        // z = imaginaryDebtReserveB
        // k = k
        // below quadratic will give answer of realDebtReserveB
        // A, B, C of quadratic equation:
        // A = h
        // B = dh - cfg
        // C = -cfdh
        // A = lowerPrice^1/2
        // B = debtB⋅lowerPrice^1/2 - debtA⋅lowerPrice⋅upperPrice^1/2
        // C = -(debtA⋅lowerPrice⋅debtB⋅lowerPrice^1/2)
        // x = (cfg − dh + (4cdf(h^2)+(cfg−dh)^2))^(1/2)) / 2h
        // simplifying dividing by h, note h = f^1/2
        // x = ((c⋅g⋅(f^1/2) − d) / 2 + ((4⋅c⋅d⋅f⋅f) / (4h^2) + ((c⋅f⋅g) / 2h − (d⋅h) / 2h)^2))^(1/2))
        // x = ((c⋅g⋅(f^1/2) − d) / 2 + ((c⋅d⋅f) + ((c⋅g⋅(f^1/2) − d) / 2)^2))^(1/2))
        // dividing in 3 parts for simplification:
        // part1 = (c⋅g⋅(f^1/2) − d) / 2
        // part2 = (c⋅d⋅f)
        // x = (part1 + (part2 + part1^2)^(1/2))
        // note: part1 will almost always be < 1e27 but in case it goes above 1e27 then it's extremely unlikely it'll go above > 1e28
        // part1 = ((debtA * upperPrice^1/2 * lowerPrice^1/2) - debtB) / 2
        // note: upperPrice^1/2 * lowerPrice^1/2 = geometric mean
        // part1 = ((debtA * geometricMean) - debtB) / 2
        // part2 = debtA * debtB * lowerPrice
        // converting decimals properly as price is in 1e27 decimals
        // part1 = ((debtA * geometricMean) - (debtB * 1e27)) / (2 * 1e27)
        // part2 = (debtA * debtB * lowerPrice) / 1e27
        // final x equals:
        // x = (part1 + (part2 + part1^2)^(1/2))
        int p1_ = (int(dx_ * gp_) - int(dy_ * 1e27)) / (2 * 1e27);
        uint p2_ = (dx_ * dy_);
        p2_ = p2_ < 1e50 ? (p2_ * pb_) / 1e27 : (p2_ / 1e27) * pb_;
        ry_ = uint(p1_ + int(FixedPointMathLib.sqrt((p2_ + uint(p1_ * p1_)))));
        // finding z:
        // x^2 - zx + cfz = 0
        // z*(x - cf) = x^2
        // z = x^2 / (x - cf)
        // z = x^2 / (x - debtA * lowerPrice)
        // converting decimals properly as price is in 1e27 decimals
        // z = (x^2 * 1e27) / ((x * 1e27) - (debtA * lowerPrice))
        iry_ = ((ry_ * 1e27) - (dx_ * pb_));
        if (iry_ < SIX_DECIMALS) {
            // almost impossible situation to ever get here
            revert FluidDexError(ErrorTypes.DexT1__DebtReservesTooLow);
        }
        if (ry_ < 1e25) {
            iry_ = (ry_ * ry_ * 1e27) / iry_;
        } else {
            // note: it can never result in negative as final result will always be in positive
            iry_ = (ry_ * ry_) / (iry_ / 1e27);
        }
        // finding y
        // x = z * c / (y + c)
        // y + c = z * c / x
        // y = (z * c / x) - c
        // y = (z * debtA / x) - debtA
        irx_ = ((iry_ * dx_) / ry_) - dx_;
        // finding w
        // w = y * d / (z + d)
        // w = (y * debtB) / (z + debtB)
        rx_ = (irx_ * dy_) / (iry_ + dy_);
    }
    /// @notice Calculates the debt amount for a given token from liquidity layer
    /// @param borrowTokenSlot_ The storage slot for the token's borrow data
    /// @param tokenExchangePrice_ The current exchange price of the token
    /// @param isToken0_ Boolean indicating if this is for token0 (true) or token1 (false)
    /// @return tokenDebt_ The calculated debt amount for the token
    function _getLiquidityDebt(
        bytes32 borrowTokenSlot_,
        uint tokenExchangePrice_,
        bool isToken0_
    ) internal view returns (uint tokenDebt_) {
        uint tokenBorrowData_ = LIQUIDITY.readFromStorage(borrowTokenSlot_);
        tokenDebt_ = (tokenBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_AMOUNT) & X64;
        tokenDebt_ = (tokenDebt_ >> 8) << (tokenDebt_ & X8);
        if (tokenBorrowData_ & 1 == 1) {
            // borrow with interest is on
            unchecked {
                tokenDebt_ = (tokenDebt_ * tokenExchangePrice_) / LiquidityCalcs.EXCHANGE_PRICES_PRECISION;
            }
        }
        unchecked {
            tokenDebt_ = isToken0_
                ? ((tokenDebt_ * TOKEN_0_NUMERATOR_PRECISION) / TOKEN_0_DENOMINATOR_PRECISION)
                : ((tokenDebt_ * TOKEN_1_NUMERATOR_PRECISION) / TOKEN_1_DENOMINATOR_PRECISION);
        }
    }
    /// @notice Calculates the debt reserves for both tokens
    /// @param geometricMean_ The geometric mean of the upper and lower price ranges
    /// @param upperRange_ The upper price range
    /// @param lowerRange_ The lower price range
    /// @param token0BorrowExchangePrice_ The exchange price of token0 from liquidity layer
    /// @param token1BorrowExchangePrice_ The exchange price of token1 from liquidity layer
    /// @return d_ The calculated debt reserves for both tokens, containing:
    ///         - token0Debt: The debt amount of token0
    ///         - token1Debt: The debt amount of token1
    ///         - token0RealReserves: The real reserves of token0 derived from token1 debt
    ///         - token1RealReserves: The real reserves of token1 derived from token0 debt
    ///         - token0ImaginaryReserves: The imaginary debt reserves of token0
    ///         - token1ImaginaryReserves: The imaginary debt reserves of token1
    function _getDebtReserves(
        uint geometricMean_,
        uint upperRange_,
        uint lowerRange_,
        uint token0BorrowExchangePrice_,
        uint token1BorrowExchangePrice_
    ) internal view returns (DebtReserves memory d_) {
        uint token0Debt_ = _getLiquidityDebt(BORROW_TOKEN_0_SLOT, token0BorrowExchangePrice_, true);
        uint token1Debt_ = _getLiquidityDebt(BORROW_TOKEN_1_SLOT, token1BorrowExchangePrice_, false);
        d_.token0Debt = token0Debt_;
        d_.token1Debt = token1Debt_;
        if (geometricMean_ < 1e27) {
            (
                d_.token0RealReserves,
                d_.token1RealReserves,
                d_.token0ImaginaryReserves,
                d_.token1ImaginaryReserves
            ) = _calculateDebtReserves(geometricMean_, lowerRange_, token0Debt_, token1Debt_);
        } else {
            // inversing, something like `xy = k` so for calculation we are making everything related to x into y & y into x
            // 1 / geometricMean for new geometricMean
            // 1 / lowerRange will become upper range
            // 1 / upperRange will become lower range
            (
                d_.token1RealReserves,
                d_.token0RealReserves,
                d_.token1ImaginaryReserves,
                d_.token0ImaginaryReserves
            ) = _calculateDebtReserves((1e54 / geometricMean_), (1e54 / upperRange_), token1Debt_, token0Debt_);
        }
    }
    function _priceDiffCheck(uint oldPrice_, uint newPrice_) internal pure returns (int priceDiff_) {
        // check newPrice_ & oldPrice_ difference should not be more than 5%
        // old price w.r.t new price
        priceDiff_ = int(ORACLE_PRECISION) - int((oldPrice_ * ORACLE_PRECISION) / newPrice_);
        unchecked {
            if ((priceDiff_ > int(ORACLE_LIMIT)) || (priceDiff_ < -int(ORACLE_LIMIT))) {
                // if oracle price difference is more than 5% then revert
                // in 1 swap price should only change by <= 5%
                // if a total fall by let's say 8% then in current block price can only fall by 5% and
                // in next block it'll fall the remaining 3%
                revert FluidDexError(ErrorTypes.DexT1__OracleUpdateHugeSwapDiff);
            }
        }
    }
    function _updateOracle(uint newPrice_, uint centerPrice_, uint dexVariables_) internal returns (uint) {
        // time difference between last & current swap
        uint timeDiff_ = block.timestamp - ((dexVariables_ >> 121) & X33);
        uint temp_;
        uint temp2_;
        uint temp3_;
        if (timeDiff_ == 0) {
            // doesn't matter if oracle is on or off when timediff = 0 code for both is same
            // temp_ => oldCenterPrice
            temp_ = (dexVariables_ >> 81) & X40;
            temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
            // Ensure that the center price is within the acceptable range of the old center price if it's not the first swap in the same block
            unchecked {
                if (
                    (centerPrice_ < (((EIGHT_DECIMALS - 1) * temp_) / EIGHT_DECIMALS)) ||
                    (centerPrice_ > (((EIGHT_DECIMALS + 1) * temp_) / EIGHT_DECIMALS))
                ) {
                    revert FluidDexError(ErrorTypes.DexT1__CenterPriceOutOfRange);
                }
            }
            // olderPrice_ => temp_
            temp_ = (dexVariables_ >> 1) & X40;
            temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
            _priceDiffCheck(temp_, newPrice_);
            // 2nd swap in same block no need to update anything around oracle, only need to update last swap price in dexVariables
            return ((dexVariables_ & 0xfffffffffffffffffffffffffffffffffffffffffffe0000000001ffffffffff) |
                (newPrice_.toBigNumber(32, 8, BigMathMinified.ROUND_DOWN) << 41));
        }
        if (((dexVariables_ >> 195) & 1) == 0) {
            // if oracle is not active then just returning updated DEX variable
            temp_ = ((dexVariables_ >> 41) & X40);
            temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
            _priceDiffCheck(temp_, newPrice_);
            
            return ((dexVariables_ & 0xfffffffffffffffffffffffffc00000000000000000000000000000000000001) |
                (((dexVariables_ >> 41) & X40) << 1) |
                (newPrice_.toBigNumber(32, 8, BigMathMinified.ROUND_DOWN) << 41) |
                (centerPrice_.toBigNumber(32, 8, BigMathMinified.ROUND_DOWN) << 81) |
                (block.timestamp << 121));
        } else {
            // oracle is active hence update oracle
            // olderPrice_ => temp_
            temp_ = (dexVariables_ >> 1) & X40;
            temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
            // oldPrice_ => temp2_
            temp2_ = (dexVariables_ >> 41) & X40;
            temp2_ = (temp2_ >> DEFAULT_EXPONENT_SIZE) << (temp2_ & DEFAULT_EXPONENT_MASK);
            int priceDiff_ = _priceDiffCheck(temp2_, newPrice_);
            unchecked {
                // older price w.r.t old price
                priceDiff_ = int(ORACLE_PRECISION) - int((temp_ * ORACLE_PRECISION) / temp2_);
            }
            // priceDiffInPercentAndSign_ => temp3_
            // priceDiff_ will always be lower than ORACLE_LIMIT due to above check
            unchecked {
                if (priceDiff_ < 0) {
                    temp3_ = ((uint(-priceDiff_) * X22) / ORACLE_LIMIT) << 1;
                } else {
                    // if greater than or equal to 0 then make sign flag 1
                    temp3_ = (((uint(priceDiff_) * X22) / ORACLE_LIMIT) << 1) | 1;
                }
            }
            if (timeDiff_ > X22) {
                // if time difference is this then that means DEX has been inactive ~45 days
                // that means oracle price of this DEX should not be used.
                timeDiff_ = X22;
            }
            // temp_ => lastTimeDiff_
            temp_ = (dexVariables_ >> 154) & X22;
            uint nextOracleSlot_ = ((dexVariables_ >> 176) & X3);
            uint oracleMap_ = (dexVariables_ >> 179) & X16;
            if (temp_ > X9) {
                if (nextOracleSlot_ > 0) {
                    // if greater than 0 then current slot has 2 or more oracle slot empty
                    // First 9 bits are of time, so not using that
                    temp3_ = (temp3_ << 41) | (temp_ << 9);
                    _oracle[oracleMap_] = _oracle[oracleMap_] | (temp3_ << (--nextOracleSlot_ * 32));
                    if (nextOracleSlot_ > 0) {
                        --nextOracleSlot_;
                    } else {
                        // if == 0 that means the oracle slots will get filled and shift to next oracle map
                        nextOracleSlot_ = 7;
                        unchecked {
                            oracleMap_ = (oracleMap_ + 1) % TOTAL_ORACLE_MAPPING;
                        }
                        _oracle[oracleMap_] = 0;
                    }
                } else {
                    // if == 0
                    // then seconds will be in last map
                    // precision will be in last map + 1
                    // Storing precision & sign slot in first precision & sign slot and leaving time slot empty
                    temp3_ = temp3_ << 9;
                    _oracle[oracleMap_] = _oracle[oracleMap_] | temp3_;
                    nextOracleSlot_ = 6; // storing 6 here as 7 is going to occupied right now
                    unchecked {
                        oracleMap_ = (oracleMap_ + 1) % TOTAL_ORACLE_MAPPING;
                    }
                    // Storing time in 2nd precision & sign and leaving time slot empty
                    _oracle[oracleMap_] = temp_ << ((7 * 32) + 9);
                }
            } else {
                temp3_ = (temp3_ << 9) | temp_;
                unchecked {
                    if (nextOracleSlot_ < 7) {
                        _oracle[oracleMap_] = _oracle[oracleMap_] | (temp3_ << (nextOracleSlot_ * 32));
                    } else {
                        _oracle[oracleMap_] = temp3_ << ((7 * 32));
                    }
                }
                if (nextOracleSlot_ > 0) {
                    --nextOracleSlot_;
                } else {
                    nextOracleSlot_ = 7;
                    unchecked {
                        oracleMap_ = (oracleMap_ + 1) % TOTAL_ORACLE_MAPPING;
                    }
                    _oracle[oracleMap_] = 0;
                }
            }
            // doing this due to stack too deep error when using params memory variables
            temp_ = newPrice_;
            temp2_ = centerPrice_;
            temp3_ = dexVariables_;
            // then update last price
            return ((temp3_ & 0xfffffffffffffff8000000000000000000000000000000000000000000000001) |
                (((temp3_ >> 41) & X40) << 1) |
                (temp_.toBigNumber(32, 8, BigMathMinified.ROUND_DOWN) << 41) |
                (temp2_.toBigNumber(32, 8, BigMathMinified.ROUND_DOWN) << 81) |
                (block.timestamp << 121) |
                (timeDiff_ << 154) |
                (nextOracleSlot_ << 176) |
                (oracleMap_ << 179));
        }
    }
    function _hookVerify(uint hookAddress_, uint mode_, bool swap0to1_, uint price_) internal {
        try
            IHook(AddressCalcs.addressCalc(DEPLOYER_CONTRACT, hookAddress_)).dexPrice(
                mode_,
                swap0to1_,
                TOKEN_0,
                TOKEN_1,
                price_
            )
        returns (bool isOk_) {
            if (!isOk_) revert FluidDexError(ErrorTypes.DexT1__HookReturnedFalse);
        } catch (bytes memory /*lowLevelData*/) {
            // skip checking hook nothing
        }
    }
    function _updateSupplyShares(uint newTotalShares_) internal {
        uint totalSupplyShares_ = _totalSupplyShares;
        // new total shares are greater than old total shares && new total shares are greater than max supply shares
        if (
            (newTotalShares_ > (totalSupplyShares_ & X128)) && 
            newTotalShares_ > (totalSupplyShares_ >> 128)
        ) {
            revert FluidDexError(ErrorTypes.DexT1__SupplySharesOverflow);
        }
        // keeping max supply shares intact
        _totalSupplyShares = ((totalSupplyShares_ >> 128) << 128) | newTotalShares_;
    }
    function _updateBorrowShares(uint newTotalShares_) internal {
        uint totalBorrowShares_ = _totalBorrowShares;
        // new total shares are greater than old total shares && new total shares are greater than max borrow shares
        if (
            (newTotalShares_ > (totalBorrowShares_ & X128)) && 
            newTotalShares_ > (totalBorrowShares_ >> 128)
        ) {
            revert FluidDexError(ErrorTypes.DexT1__BorrowSharesOverflow);
        }
        // keeping max borrow shares intact
        _totalBorrowShares = ((totalBorrowShares_ >> 128) << 128) | newTotalShares_;
    }
    constructor(ConstantViews memory constantViews_) ImmutableVariables(constantViews_) {}
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { IFluidLiquidity } from "../../../../liquidity/interfaces/iLiquidity.sol";
import { Structs } from "./structs.sol";
import { ConstantVariables } from "../common/constantVariables.sol";
import { IFluidDexFactory } from "../../interfaces/iDexFactory.sol";
import { Error } from "../../error.sol";
import { ErrorTypes } from "../../errorTypes.sol";
abstract contract ImmutableVariables is ConstantVariables, Structs, Error {
    /*//////////////////////////////////////////////////////////////
                          CONSTANTS / IMMUTABLES
    //////////////////////////////////////////////////////////////*/
    uint256 public immutable DEX_ID;
    /// @dev Address of token 0
    address internal immutable TOKEN_0;
    /// @dev Address of token 1
    address internal immutable TOKEN_1;
    address internal immutable THIS_CONTRACT;
    uint256 internal immutable TOKEN_0_NUMERATOR_PRECISION;
    uint256 internal immutable TOKEN_0_DENOMINATOR_PRECISION;
    uint256 internal immutable TOKEN_1_NUMERATOR_PRECISION;
    uint256 internal immutable TOKEN_1_DENOMINATOR_PRECISION;
    /// @dev Address of liquidity contract
    IFluidLiquidity internal immutable LIQUIDITY;
    /// @dev Address of DEX factory contract
    IFluidDexFactory internal immutable DEX_FACTORY;
    /// @dev Address of Shift implementation
    address internal immutable SHIFT_IMPLEMENTATION;
    /// @dev Address of Admin implementation
    address internal immutable ADMIN_IMPLEMENTATION;
    /// @dev Address of Col Operations implementation
    address internal immutable COL_OPERATIONS_IMPLEMENTATION;
    /// @dev Address of Debt Operations implementation
    address internal immutable DEBT_OPERATIONS_IMPLEMENTATION;
    /// @dev Address of Perfect Operations and Swap Out implementation
    address internal immutable PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION;
    /// @dev Address of contract used for deploying center price & hook related contract
    address internal immutable DEPLOYER_CONTRACT;
    /// @dev Liquidity layer slots
    bytes32 internal immutable SUPPLY_TOKEN_0_SLOT;
    bytes32 internal immutable BORROW_TOKEN_0_SLOT;
    bytes32 internal immutable SUPPLY_TOKEN_1_SLOT;
    bytes32 internal immutable BORROW_TOKEN_1_SLOT;
    bytes32 internal immutable EXCHANGE_PRICE_TOKEN_0_SLOT;
    bytes32 internal immutable EXCHANGE_PRICE_TOKEN_1_SLOT;
    uint256 internal immutable TOTAL_ORACLE_MAPPING;
    function _calcNumeratorAndDenominator(
        address token_
    ) private view returns (uint256 numerator_, uint256 denominator_) {
        uint256 decimals_ = _decimals(token_);
        if (decimals_ > TOKENS_DECIMALS_PRECISION) {
            numerator_ = 1;
            denominator_ = 10 ** (decimals_ - TOKENS_DECIMALS_PRECISION);
        } else {
            numerator_ = 10 ** (TOKENS_DECIMALS_PRECISION - decimals_);
            denominator_ = 1;
        }
    }
    constructor(ConstantViews memory constants_) {
        THIS_CONTRACT = address(this);
        DEX_ID = constants_.dexId;
        LIQUIDITY = IFluidLiquidity(constants_.liquidity);
        DEX_FACTORY = IFluidDexFactory(constants_.factory);
        TOKEN_0 = constants_.token0;
        TOKEN_1 = constants_.token1;
        if (TOKEN_0 >= TOKEN_1) revert FluidDexError(ErrorTypes.DexT1__Token0ShouldBeSmallerThanToken1);
        (TOKEN_0_NUMERATOR_PRECISION, TOKEN_0_DENOMINATOR_PRECISION) = _calcNumeratorAndDenominator(TOKEN_0);
        (TOKEN_1_NUMERATOR_PRECISION, TOKEN_1_DENOMINATOR_PRECISION) = _calcNumeratorAndDenominator(TOKEN_1);
        if (constants_.implementations.shift != address(0)) {
            SHIFT_IMPLEMENTATION = constants_.implementations.shift;
        } else {
            SHIFT_IMPLEMENTATION = address(this);
        }
        if (constants_.implementations.admin != address(0)) {
            ADMIN_IMPLEMENTATION = constants_.implementations.admin;
        } else {
            ADMIN_IMPLEMENTATION = address(this);
        }
        if (constants_.implementations.colOperations != address(0)) {
            COL_OPERATIONS_IMPLEMENTATION = constants_.implementations.colOperations;
        } else {
            COL_OPERATIONS_IMPLEMENTATION = address(this);
        }
        if (constants_.implementations.debtOperations != address(0)) {
            DEBT_OPERATIONS_IMPLEMENTATION = constants_.implementations.debtOperations;
        } else {
            DEBT_OPERATIONS_IMPLEMENTATION = address(this);
        }
        if (constants_.implementations.perfectOperationsAndSwapOut != address(0)) {
            PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION = constants_.implementations.perfectOperationsAndSwapOut;
        } else {
            PERFECT_OPERATIONS_AND_SWAP_OUT_IMPLEMENTATION = address(this);
        }
        DEPLOYER_CONTRACT = constants_.deployerContract;
        SUPPLY_TOKEN_0_SLOT = constants_.supplyToken0Slot;
        BORROW_TOKEN_0_SLOT = constants_.borrowToken0Slot;
        SUPPLY_TOKEN_1_SLOT = constants_.supplyToken1Slot;
        BORROW_TOKEN_1_SLOT = constants_.borrowToken1Slot;
        EXCHANGE_PRICE_TOKEN_0_SLOT = constants_.exchangePriceToken0Slot;
        EXCHANGE_PRICE_TOKEN_1_SLOT = constants_.exchangePriceToken1Slot;
        if (constants_.oracleMapping > X16) revert FluidDexError(ErrorTypes.DexT1__OracleMappingOverflow);
        TOTAL_ORACLE_MAPPING = constants_.oracleMapping;
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
interface IHook {
    /// @notice Hook function to check for liquidation opportunities before external swaps
    /// @dev The primary use of this hook is to check if a particular pair vault has liquidation available.
    ///      If liquidation is available, it gives priority to the liquidation process before allowing external swaps.
    ///      In most cases, this hook will not be set.
    /// @param id_ Identifier for the operation type: 1 for swap, 2 for internal arbitrage
    /// @param swap0to1_ Direction of the swap: true if swapping token0 for token1, false otherwise
    /// @param token0_ Address of the first token in the pair
    /// @param token1_ Address of the second token in the pair
    /// @param price_ The price ratio of token1 to token0, expressed with 27 decimal places
    /// @return isOk_ Boolean indicating whether the operation should proceed
    function dexPrice(
        uint id_,
        bool swap0to1_,
        address token0_,
        address token1_,
        uint price_
    ) external returns (bool isOk_);
}
interface ICenterPrice {
    /// @notice Retrieves the center price for the pool
    /// @dev This function is marked as non-constant (potentially state-changing) to allow flexibility in price fetching mechanisms.
    ///      While typically used as a read-only operation, this design permits write operations if needed for certain token pairs
    ///      (e.g., fetching up-to-date exchange rates that may require state changes).
    /// @return price The current price ratio of token1 to token0, expressed with 27 decimal places
    function centerPrice() external returns (uint price);
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
abstract contract Structs {
    struct PricesAndExchangePrice {
        uint lastStoredPrice; // last stored price in 1e27 decimals
        uint centerPrice; // last stored price in 1e27 decimals
        uint upperRange; // price at upper range in 1e27 decimals
        uint lowerRange; // price at lower range in 1e27 decimals
        uint geometricMean; // geometric mean of upper range & lower range in 1e27 decimals
        uint supplyToken0ExchangePrice;
        uint borrowToken0ExchangePrice;
        uint supplyToken1ExchangePrice;
        uint borrowToken1ExchangePrice;
    }
    struct ExchangePrices {
        uint supplyToken0ExchangePrice;
        uint borrowToken0ExchangePrice;
        uint supplyToken1ExchangePrice;
        uint borrowToken1ExchangePrice;
    }
    struct CollateralReserves {
        uint token0RealReserves;
        uint token1RealReserves;
        uint token0ImaginaryReserves;
        uint token1ImaginaryReserves;
    }
    struct CollateralReservesSwap {
        uint tokenInRealReserves;
        uint tokenOutRealReserves;
        uint tokenInImaginaryReserves;
        uint tokenOutImaginaryReserves;
    }
    struct DebtReserves {
        uint token0Debt;
        uint token1Debt;
        uint token0RealReserves;
        uint token1RealReserves;
        uint token0ImaginaryReserves;
        uint token1ImaginaryReserves;
    }
    struct DebtReservesSwap {
        uint tokenInDebt;
        uint tokenOutDebt;
        uint tokenInRealReserves;
        uint tokenOutRealReserves;
        uint tokenInImaginaryReserves;
        uint tokenOutImaginaryReserves;
    }
    struct SwapInMemory {
        address tokenIn;
        address tokenOut;
        uint256 amtInAdjusted;
        address withdrawTo;
        address borrowTo;
        uint price; // price of pool after swap
        uint fee; // fee of pool
        uint revenueCut; // revenue cut of pool
        bool swap0to1;
        int swapRoutingAmt;
        bytes data; // just added to avoid stack-too-deep error
    }
    struct SwapOutMemory {
        address tokenIn;
        address tokenOut;
        uint256 amtOutAdjusted;
        address withdrawTo;
        address borrowTo;
        uint price; // price of pool after swap
        uint fee;
        uint revenueCut; // revenue cut of pool
        bool swap0to1;
        int swapRoutingAmt;
        bytes data; // just added to avoid stack-too-deep error
        uint msgValue;
    }
    struct DepositColMemory {
        uint256 token0AmtAdjusted;
        uint256 token1AmtAdjusted;
        uint256 token0ReservesInitial;
        uint256 token1ReservesInitial;
    }
    struct WithdrawColMemory {
        uint256 token0AmtAdjusted;
        uint256 token1AmtAdjusted;
        uint256 token0ReservesInitial;
        uint256 token1ReservesInitial;
        address to;
    }
    struct BorrowDebtMemory {
        uint256 token0AmtAdjusted;
        uint256 token1AmtAdjusted;
        uint256 token0DebtInitial;
        uint256 token1DebtInitial;
        address to;
    }
    struct PaybackDebtMemory {
        uint256 token0AmtAdjusted;
        uint256 token1AmtAdjusted;
        uint256 token0DebtInitial;
        uint256 token1DebtInitial;
    }
    struct OraclePriceMemory {
        uint lowestPrice1by0;
        uint highestPrice1by0;
        uint oracleSlot;
        uint oracleMap;
        uint oracle;
    }
    struct Oracle {
        uint twap1by0; // TWAP price
        uint lowestPrice1by0; // lowest price point
        uint highestPrice1by0; // highest price point
        uint twap0by1; // TWAP price
        uint lowestPrice0by1; // lowest price point
        uint highestPrice0by1; // highest price point
    }
    struct Implementations {
        address shift;
        address admin;
        address colOperations;
        address debtOperations;
        address perfectOperationsAndSwapOut;
    }
    struct ConstantViews {
        uint256 dexId;
        address liquidity;
        address factory;
        Implementations implementations;
        address deployerContract;
        address token0;
        address token1;
        bytes32 supplyToken0Slot;
        bytes32 borrowToken0Slot;
        bytes32 supplyToken1Slot;
        bytes32 borrowToken1Slot;
        bytes32 exchangePriceToken0Slot;
        bytes32 exchangePriceToken1Slot;
        uint256 oracleMapping;
    }
    struct ConstantViews2 {
        uint token0NumeratorPrecision;
        uint token0DenominatorPrecision;
        uint token1NumeratorPrecision;
        uint token1DenominatorPrecision;
    }
}
// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity >=0.8.0;
/// @notice Arithmetic library with operations for fixed-point numbers.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/FixedPointMathLib.sol)
/// @author Inspired by USM (https://github.com/usmfum/USM/blob/master/contracts/WadMath.sol)
library FixedPointMathLib {
    /*//////////////////////////////////////////////////////////////
                    SIMPLIFIED FIXED POINT OPERATIONS
    //////////////////////////////////////////////////////////////*/
    uint256 internal constant MAX_UINT256 = 2**256 - 1;
    uint256 internal constant WAD = 1e18; // The scalar of ETH and most ERC20s.
    function mulWadDown(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivDown(x, y, WAD); // Equivalent to (x * y) / WAD rounded down.
    }
    function mulWadUp(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivUp(x, y, WAD); // Equivalent to (x * y) / WAD rounded up.
    }
    function divWadDown(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivDown(x, WAD, y); // Equivalent to (x * WAD) / y rounded down.
    }
    function divWadUp(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivUp(x, WAD, y); // Equivalent to (x * WAD) / y rounded up.
    }
    /*//////////////////////////////////////////////////////////////
                    LOW LEVEL FIXED POINT OPERATIONS
    //////////////////////////////////////////////////////////////*/
    function mulDivDown(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Equivalent to require(denominator != 0 && (y == 0 || x <= type(uint256).max / y))
            if iszero(mul(denominator, iszero(mul(y, gt(x, div(MAX_UINT256, y)))))) {
                revert(0, 0)
            }
            // Divide x * y by the denominator.
            z := div(mul(x, y), denominator)
        }
    }
    function mulDivUp(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Equivalent to require(denominator != 0 && (y == 0 || x <= type(uint256).max / y))
            if iszero(mul(denominator, iszero(mul(y, gt(x, div(MAX_UINT256, y)))))) {
                revert(0, 0)
            }
            // If x * y modulo the denominator is strictly greater than 0,
            // 1 is added to round up the division of x * y by the denominator.
            z := add(gt(mod(mul(x, y), denominator), 0), div(mul(x, y), denominator))
        }
    }
    function rpow(
        uint256 x,
        uint256 n,
        uint256 scalar
    ) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            switch x
            case 0 {
                switch n
                case 0 {
                    // 0 ** 0 = 1
                    z := scalar
                }
                default {
                    // 0 ** n = 0
                    z := 0
                }
            }
            default {
                switch mod(n, 2)
                case 0 {
                    // If n is even, store scalar in z for now.
                    z := scalar
                }
                default {
                    // If n is odd, store x in z for now.
                    z := x
                }
                // Shifting right by 1 is like dividing by 2.
                let half := shr(1, scalar)
                for {
                    // Shift n right by 1 before looping to halve it.
                    n := shr(1, n)
                } n {
                    // Shift n right by 1 each iteration to halve it.
                    n := shr(1, n)
                } {
                    // Revert immediately if x ** 2 would overflow.
                    // Equivalent to iszero(eq(div(xx, x), x)) here.
                    if shr(128, x) {
                        revert(0, 0)
                    }
                    // Store x squared.
                    let xx := mul(x, x)
                    // Round to the nearest number.
                    let xxRound := add(xx, half)
                    // Revert if xx + half overflowed.
                    if lt(xxRound, xx) {
                        revert(0, 0)
                    }
                    // Set x to scaled xxRound.
                    x := div(xxRound, scalar)
                    // If n is even:
                    if mod(n, 2) {
                        // Compute z * x.
                        let zx := mul(z, x)
                        // If z * x overflowed:
                        if iszero(eq(div(zx, x), z)) {
                            // Revert if x is non-zero.
                            if iszero(iszero(x)) {
                                revert(0, 0)
                            }
                        }
                        // Round to the nearest number.
                        let zxRound := add(zx, half)
                        // Revert if zx + half overflowed.
                        if lt(zxRound, zx) {
                            revert(0, 0)
                        }
                        // Return properly scaled zxRound.
                        z := div(zxRound, scalar)
                    }
                }
            }
        }
    }
    /*//////////////////////////////////////////////////////////////
                        GENERAL NUMBER UTILITIES
    //////////////////////////////////////////////////////////////*/
    function sqrt(uint256 x) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            let y := x // We start y at x, which will help us make our initial estimate.
            z := 181 // The "correct" value is 1, but this saves a multiplication later.
            // This segment is to get a reasonable initial estimate for the Babylonian method. With a bad
            // start, the correct # of bits increases ~linearly each iteration instead of ~quadratically.
            // We check y >= 2^(k + 8) but shift right by k bits
            // each branch to ensure that if x >= 256, then y >= 256.
            if iszero(lt(y, 0x10000000000000000000000000000000000)) {
                y := shr(128, y)
                z := shl(64, z)
            }
            if iszero(lt(y, 0x1000000000000000000)) {
                y := shr(64, y)
                z := shl(32, z)
            }
            if iszero(lt(y, 0x10000000000)) {
                y := shr(32, y)
                z := shl(16, z)
            }
            if iszero(lt(y, 0x1000000)) {
                y := shr(16, y)
                z := shl(8, z)
            }
            // Goal was to get z*z*y within a small factor of x. More iterations could
            // get y in a tighter range. Currently, we will have y in [256, 256*2^16).
            // We ensured y >= 256 so that the relative difference between y and y+1 is small.
            // That's not possible if x < 256 but we can just verify those cases exhaustively.
            // Now, z*z*y <= x < z*z*(y+1), and y <= 2^(16+8), and either y >= 256, or x < 256.
            // Correctness can be checked exhaustively for x < 256, so we assume y >= 256.
            // Then z*sqrt(y) is within sqrt(257)/sqrt(256) of sqrt(x), or about 20bps.
            // For s in the range [1/256, 256], the estimate f(s) = (181/1024) * (s+1) is in the range
            // (1/2.84 * sqrt(s), 2.84 * sqrt(s)), with largest error when s = 1 and when s = 256 or 1/256.
            // Since y is in [256, 256*2^16), let a = y/65536, so that a is in [1/256, 256). Then we can estimate
            // sqrt(y) using sqrt(65536) * 181/1024 * (a + 1) = 181/4 * (y + 65536)/65536 = 181 * (y + 65536)/2^18.
            // There is no overflow risk here since y < 2^136 after the first branch above.
            z := shr(18, mul(z, add(y, 65536))) // A mul() is saved from starting z at 181.
            // Given the worst case multiplicative error of 2.84 above, 7 iterations should be enough.
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            // If x+1 is a perfect square, the Babylonian method cycles between
            // floor(sqrt(x)) and ceil(sqrt(x)). This statement ensures we return floor.
            // See: https://en.wikipedia.org/wiki/Integer_square_root#Using_only_integer_division
            // Since the ceil is rare, we save gas on the assignment and repeat division in the rare case.
            // If you don't care whether the floor or ceil square root is returned, you can remove this statement.
            z := sub(z, lt(div(x, z), z))
        }
    }
    function unsafeMod(uint256 x, uint256 y) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Mod x by y. Note this will return
            // 0 instead of reverting if y is zero.
            z := mod(x, y)
        }
    }
    function unsafeDiv(uint256 x, uint256 y) internal pure returns (uint256 r) {
        /// @solidity memory-safe-assembly
        assembly {
            // Divide x by y. Note this will return
            // 0 instead of reverting if y is zero.
            r := div(x, y)
        }
    }
    function unsafeDivUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Add 1 to x * y if x % y > 0. Note this will
            // return 0 instead of reverting if y is zero.
            z := add(gt(mod(x, y), 0), div(x, y))
        }
    }
}

// SPDX-FileCopyrightText: © 2023 Dai Foundation <www.daifoundation.org>
// SPDX-License-Identifier: AGPL-3.0-or-later
//
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU Affero General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU Affero General Public License for more details.
//
// You should have received a copy of the GNU Affero General Public License
// along with this program.  If not, see <https://www.gnu.org/licenses/>.
pragma solidity ^0.8.16;
interface VatLike {
    function frob(bytes32, address, address, address, int256, int256) external;
    function hope(address) external;
    function ilks(bytes32) external view returns (uint256, uint256, uint256, uint256, uint256);
    function debt() external view returns (uint256);
    function Line() external view returns (uint256);
    function urns(bytes32, address) external view returns (uint256, uint256);
    function live() external view returns (uint256);
}
interface GemLike {
    function balanceOf(address) external view returns (uint256);
    function decimals() external view returns (uint8);
    function approve(address, uint256) external;
    function transfer(address, uint256) external;
    function transferFrom(address, address, uint256) external;
}
interface DaiJoinLike {
    function dai() external view returns (address);
    function vat() external view returns (address);
    function exit(address, uint256) external;
    function join(address, uint256) external;
}
/**
 * @title A lightweight PSM implementation.
 * @notice Swaps Dai for `gem` at a 1:1 exchange rate.
 * @notice Fees `tin` and `tout` might apply.
 * @dev `gem` balance is kept in `pocket` instead of this contract.
 * @dev A few assumptions are made:
 *      1. There are no other urns for the same `ilk`
 *      2. Stability fee is always zero for the `ilk`
 *      3. The `spot` price for gem is always 1 (`10**27`).
 *      4. The `spotter.par` (Dai parity) is always 1 (`10**27`).
 *      5. This contract can freely transfer `gem` on behalf of `pocket`.
 */
contract DssLitePsm {
    /// @notice Special value for `tin` and/or `tout` to indicate swaps are halted.
    /// @dev Setting `tin` or `tout` to `type(uint256).max` will cause sell gem and buy gem functions respectively to revert.
    uint256 public constant HALTED = type(uint256).max;
    /// @notice Collateral type identifier.
    bytes32 public immutable ilk;
    /// @notice Maker Protocol core engine.
    VatLike public immutable vat;
    /// @notice Dai adapter.
    DaiJoinLike public immutable daiJoin;
    /// @notice Dai token.
    GemLike public immutable dai;
    /// @notice Gem to exchange with Dai.
    GemLike public immutable gem;
    /// @notice Precision conversion factor for `gem`, since Dai is expected to always have 18 decimals.
    uint256 public immutable to18ConversionFactor;
    /// @notice The ultimate holder of the gems.
    /// @dev This contract should be able to freely transfer `gem` on behalf of `pocket`.
    address public immutable pocket;
    /// @notice Addresses with admin access on this contract. `wards[usr]`.
    mapping(address => uint256) public wards;
    /// @notice Addresses with permission to swap with no fees. `bud[usr]`.
    mapping(address => uint256) public bud;
    /// @notice Maker Protocol balance sheet.
    address public vow;
    /// @notice Fee for selling gems.
    /// @dev `wad` precision. 1 * WAD means a 100% fee.
    uint256 public tin;
    /// @notice Fee for buying gems.
    /// @dev `wad` precision. 1 * WAD means a 100% fee.
    uint256 public tout;
    /// @notice Buffer for pre-minted Dai.
    /// @dev `wad` precision.
    uint256 public buf;
    /// @dev `wad` precision.
    uint256 internal constant WAD = 10 ** 18;
    /// @dev `ray` precision for `vat` manipulation.
    uint256 internal constant RAY = 10 ** 27;
    /// @dev Workaround to explicitly revert with an arithmetic error.
    string internal constant ARITHMETIC_ERROR = string(abi.encodeWithSignature("Panic(uint256)", 0x11));
    /**
     * @notice `usr` was granted admin access.
     * @param usr The user address.
     */
    event Rely(address indexed usr);
    /**
     * @notice `usr` admin access was revoked.
     * @param usr The user address.
     */
    event Deny(address indexed usr);
    /**
     * @notice `usr` was granted permission to swap without any fees.
     * @param usr The user address.
     */
    event Kiss(address indexed usr);
    /**
     * @notice Permission revoked for `usr` to swap without any fees.
     * @param usr The user address.
     */
    event Diss(address indexed usr);
    /**
     * @notice A contract parameter was updated.
     * @param what The changed parameter name. ["vow"].
     * @param data The new value of the parameter.
     */
    event File(bytes32 indexed what, address data);
    /**
     * @notice A contract parameter was updated.
     * @param what The changed parameter name. ["tin", "tout", "buf"].
     * @param data The new value of the parameter.
     */
    event File(bytes32 indexed what, uint256 data);
    /**
     * @notice A user sold `gem` for Dai.
     * @param owner The address receiving Dai.
     * @param value The amount of `gem` sold. [`gem` precision].
     * @param fee The fee in Dai paid by the user. [`wad`].
     */
    event SellGem(address indexed owner, uint256 value, uint256 fee);
    /**
     * @notice A user bought `gem` with Dai.
     * @param owner The address receiving `gem`.
     * @param value The amount of `gem` bought. [`gem` precision].
     * @param fee The fee in Dai paid by the user. [`wad`].
     */
    event BuyGem(address indexed owner, uint256 value, uint256 fee);
    /**
     * @notice The contract was filled with Dai.
     * @param wad The amount of Dai filled.
     */
    event Fill(uint256 wad);
    /**
     * @notice The contract was trimmed of excess Dai.
     * @param wad The amount of Dai trimmed.
     */
    event Trim(uint256 wad);
    /**
     * @notice Dai accumulated as swap fees was added to the surplus buffer.
     * @param wad The amount of Dai added.
     */
    event Chug(uint256 wad);
    modifier auth() {
        require(wards[msg.sender] == 1, "DssLitePsm/not-authorized");
        _;
    }
    modifier toll() {
        require(bud[msg.sender] == 1, "DssLitePsm/not-whitelisted");
        _;
    }
    /**
     * @param ilk_ The collateral type identifier.
     * @param gem_ The gem to exchange with Dai.
     * @param daiJoin_ The Dai adapter.
     * @param pocket_ The ultimate holder of `gem`.
     */
    constructor(bytes32 ilk_, address gem_, address daiJoin_, address pocket_) {
        ilk = ilk_;
        gem = GemLike(gem_);
        daiJoin = DaiJoinLike(daiJoin_);
        vat = VatLike(daiJoin.vat());
        dai = GemLike(daiJoin.dai());
        pocket = pocket_;
        to18ConversionFactor = 10 ** (18 - gem.decimals());
        dai.approve(daiJoin_, type(uint256).max);
        vat.hope(daiJoin_);
        wards[msg.sender] = 1;
        emit Rely(msg.sender);
    }
    /*//////////////////////////////////
                    Math
    //////////////////////////////////*/
    ///@dev Safely converts `uint256` to `int256`. Reverts if it overflows.
    function _int256(uint256 x) internal pure returns (int256 y) {
        require((y = int256(x)) >= 0, ARITHMETIC_ERROR);
    }
    ///@dev Returns the min between `x` and `y`.
    function _min(uint256 x, uint256 y) internal pure returns (uint256 z) {
        return x < y ? x : y;
    }
    ///@dev Returns the max between `x` and `y`.
    function _max(uint256 x, uint256 y) internal pure returns (uint256 z) {
        return x > y ? x : y;
    }
    ///@dev Returns the difference between `x` and `y` if `x > y` or zero otherwise.
    function _subcap(uint256 x, uint256 y) internal pure returns (uint256 z) {
        unchecked {
            z = x > y ? x - y : 0;
        }
    }
    /*//////////////////////////////////
               Administration
    //////////////////////////////////*/
    /**
     * @notice Grants `usr` admin access to this contract.
     * @param usr The user address.
     */
    function rely(address usr) external auth {
        wards[usr] = 1;
        emit Rely(usr);
    }
    /**
     * @notice Revokes `usr` admin access from this contract.
     * @param usr The user address.
     */
    function deny(address usr) external auth {
        wards[usr] = 0;
        emit Deny(usr);
    }
    /**
     * @notice Grants `usr` permission to swap without any fees.
     * @param usr The user address.
     */
    function kiss(address usr) external auth {
        bud[usr] = 1;
        emit Kiss(usr);
    }
    /**
     * @notice Revokes `usr` permission to swap without any fees.
     * @param usr The user address.
     */
    function diss(address usr) external auth {
        bud[usr] = 0;
        emit Diss(usr);
    }
    /**
     * @notice Updates a contract parameter.
     * @param what The changed parameter name. ["vow"].
     * @param data The new value of the parameter.
     */
    function file(bytes32 what, address data) external auth {
        if (what == "vow") {
            vow = data;
        } else {
            revert("DssLitePsm/file-unrecognized-param");
        }
        emit File(what, data);
    }
    /**
     * @notice Updates a contract parameter.
     * @dev Swapping fees may not apply due to rounding errors for small swaps where
     *      `gemAmt < 10**gem.decimals() / tin` or
     *      `gemAmt < 10**gem.decimals() / tout`.
     * @dev Setting `tin` or `tout` to `HALTED` effectively disables selling and buying gems respectively.
     * @param what The changed parameter name. ["tin", "tout", "buf"].
     * @param data The new value of the parameter.
     */
    function file(bytes32 what, uint256 data) external auth {
        if (what == "tin") {
            require(data == HALTED || data <= WAD, "DssLitePsm/tin-out-of-range");
            tin = data;
        } else if (what == "tout") {
            require(data == HALTED || data <= WAD, "DssLitePsm/tout-out-of-range");
            tout = data;
        } else if (what == "buf") {
            buf = data;
        } else {
            revert("DssLitePsm/file-unrecognized-param");
        }
        emit File(what, data);
    }
    /*//////////////////////////////////
                  Swapping
    //////////////////////////////////*/
    /**
     * @notice Function that swaps `gem` into Dai.
     * @dev Reverts if `tin` is set to `HALTED`.
     * @param usr The destination of the bought Dai.
     * @param gemAmt The amount of gem to sell. [`gem` precision].
     * @return daiOutWad The amount of Dai bought.
     */
    function sellGem(address usr, uint256 gemAmt) external returns (uint256 daiOutWad) {
        uint256 tin_ = tin;
        require(tin_ != HALTED, "DssLitePsm/sell-gem-halted");
        daiOutWad = _sellGem(usr, gemAmt, tin_);
    }
    /**
     * @notice Function that swaps `gem` into Dai without any fees.
     * @dev Only users whitelisted through `kiss()` can call this function.
     *      Reverts if `tin` is set to `HALTED`.
     * @param usr The destination of the bought Dai.
     * @param gemAmt The amount of gem to sell. [`gem` precision].
     * @return daiOutWad The amount of Dai bought.
     */
    function sellGemNoFee(address usr, uint256 gemAmt) external toll returns (uint256 daiOutWad) {
        require(tin != HALTED, "DssLitePsm/sell-gem-halted");
        daiOutWad = _sellGem(usr, gemAmt, 0);
    }
    /**
     * @notice Internal function that implements the logic to swaps `gem` into Dai.
     * @param usr The destination of the bought Dai.
     * @param gemAmt The amount of gem to sell. [`gem` precision].
     * @param tin_ The fee rate applicable to the swap [`1 * WAD` = 100%].
     * @return daiOutWad The amount of Dai bought.
     */
    function _sellGem(address usr, uint256 gemAmt, uint256 tin_) internal returns (uint256 daiOutWad) {
        daiOutWad = gemAmt * to18ConversionFactor;
        uint256 fee;
        if (tin_ > 0) {
            fee = daiOutWad * tin_ / WAD;
            // At this point, `tin_ <= 1 WAD`, so an underflow is not possible.
            unchecked {
                daiOutWad -= fee;
            }
        }
        gem.transferFrom(msg.sender, pocket, gemAmt);
        // This can consume the whole balance including system fees not withdrawn.
        dai.transfer(usr, daiOutWad);
        emit SellGem(usr, gemAmt, fee);
    }
    /**
     * @notice Function that swaps Dai into `gem`.
     * @dev Reverts if `tout` is set to `HALTED`.
     * @param usr The destination of the bought gems.
     * @param gemAmt The amount of gem to buy. [`gem` precision].
     * @return daiInWad The amount of Dai required to sell.
     */
    function buyGem(address usr, uint256 gemAmt) external returns (uint256 daiInWad) {
        uint256 tout_ = tout;
        require(tout_ != HALTED, "DssLitePsm/buy-gem-halted");
        daiInWad = _buyGem(usr, gemAmt, tout_);
    }
    /**
     * @notice Function that swaps Dai into `gem` without any fees.
     * @dev Only users whitelisted through `kiss()` can call this function.
     *      Reverts if `tout` is set to `HALTED`.
     * @param usr The destination of the bought gems.
     * @param gemAmt The amount of gem to buy. [`gem` precision].
     * @return daiInWad The amount of Dai required to sell.
     */
    function buyGemNoFee(address usr, uint256 gemAmt) external toll returns (uint256 daiInWad) {
        require(tout != HALTED, "DssLitePsm/buy-gem-halted");
        daiInWad = _buyGem(usr, gemAmt, 0);
    }
    /**
     * @notice Internal function implementing the logic that swaps Dai into `gem`.
     * @param usr The destination of the bought gems.
     * @param gemAmt The amount of gem to buy. [`gem` precision].
     * @param tout_ The fee rate applicable to the swap [`1 * WAD` = 100%].
     * @return daiInWad The amount of Dai required to sell.
     */
    function _buyGem(address usr, uint256 gemAmt, uint256 tout_) internal returns (uint256 daiInWad) {
        daiInWad = gemAmt * to18ConversionFactor;
        uint256 fee;
        if (tout_ > 0) {
            fee = daiInWad * tout_ / WAD;
            daiInWad += fee;
        }
        dai.transferFrom(msg.sender, address(this), daiInWad);
        gem.transferFrom(pocket, usr, gemAmt);
        emit BuyGem(usr, gemAmt, fee);
    }
    /*//////////////////////////////////
                Bookkeeping
    //////////////////////////////////*/
    /**
     * @notice Mints Dai into this contract.
     * @dev Both `buf`, the local and global debt ceilings limit the actual minted amount.
     *      Notice that `gem` donations or extraneous debt repayments can also affect the amount.
     * @return wad The amount of Dai minted.
     */
    function fill() external returns (uint256 wad) {
        wad = rush();
        require(wad > 0, "DssLitePsm/nothing-to-fill");
        // The `urn` for this contract in the `Vat` is expected to have "unlimited" `ink`.
        vat.frob(ilk, address(this), address(0), address(this), 0, _int256(wad));
        daiJoin.exit(address(this), wad);
        emit Fill(wad);
    }
    /**
     * @notice Burns any excess of Dai from this contract.
     * @dev The total outstanding debt can still be larger than the debt ceiling after `trim`.
     *      Additional `buyGem` calls will enable further `trim` calls.
     * @return wad The amount of Dai burned.
     */
    function trim() external returns (uint256 wad) {
        wad = gush();
        require(wad > 0, "DssLitePsm/nothing-to-trim");
        daiJoin.join(address(this), wad);
        // The `urn` for this contract in the `Vat` is expected to have "unlimited" `ink`.
        vat.frob(ilk, address(this), address(0), address(this), 0, -_int256(wad));
        emit Trim(wad);
    }
    /**
     * @notice Incorporates any outstanding accumulated fees into the surplus buffer.
     * @return wad The amount added to the surplus buffer.
     */
    function chug() external returns (uint256 wad) {
        address vow_ = vow;
        require(vow_ != address(0), "DssLitePsm/chug-missing-vow");
        wad = cut();
        require(wad > 0, "DssLitePsm/nothing-to-chug");
        daiJoin.join(vow_, wad);
        emit Chug(wad);
    }
    /*//////////////////////////////////
                  Getters
    //////////////////////////////////*/
    /**
     * @notice Returns the missing Dai that can be filled into this contract.
     * @return wad The amount of Dai.
     */
    function rush() public view returns (uint256 wad) {
        (uint256 Art, uint256 rate,, uint256 line,) = vat.ilks(ilk);
        require(rate == RAY, "DssLitePsm/rate-not-RAY");
        uint256 tArt = gem.balanceOf(pocket) * to18ConversionFactor + buf;
        wad = _min(
            _min(
                // To avoid two extra SLOADs it assumes urn.art == ilk.Art.
                _subcap(tArt, Art),
                _subcap(line / RAY, Art)
            ),
            _subcap(vat.Line(), vat.debt()) / RAY
        );
    }
    /**
     * @notice Returns the excess Dai that can be trimmed from this contract.
     * @return wad The amount of Dai.
     */
    function gush() public view returns (uint256 wad) {
        (uint256 Art, uint256 rate,, uint256 line,) = vat.ilks(ilk);
        require(rate == RAY, "DssLitePsm/rate-not-RAY");
        uint256 tArt = gem.balanceOf(pocket) * to18ConversionFactor + buf;
        wad = _min(
            _max(
                // To avoid two extra SLOADs it assumes urn.art == ilk.Art.
                _subcap(Art, tArt),
                _subcap(Art, line / RAY)
            ),
            // Cannot burn more than the current balance.
            dai.balanceOf(address(this))
        );
    }
    /**
     * @notice Returns the amount of swapping fees that can be chugged by this contract.
     * @dev To keep `_sellGem` gas usage low, it allows users to take pre-minted Dai up to the whole balance, regardless
     *      if part of it consist of collected fees.
     *      If there is not enough balance, it will need to wait for new pre-minted Dai to be generated or Dai swapped
     *      back to complete the withdrawal of fees.
     * @return wad The amount of Dai.
     */
    function cut() public view returns (uint256 wad) {
        (, uint256 art) = vat.urns(ilk, address(this));
        uint256 cash = dai.balanceOf(address(this));
        wad = _min(cash, cash + gem.balanceOf(pocket) * to18ConversionFactor - art);
    }
    /*//////////////////////////////////
            Compatibility Layer
    //////////////////////////////////*/
    /**
     * @notice Returns the address of the LitePsm contract itself.
     * @dev LitePsm does not have an external gem join. All logic is handled internally.
     *      This function is required because there are some dependencies that assume every PSM has a gem join.
     * @return The address of this contract.
     */
    function gemJoin() external view returns (address) {
        return address(this);
    }
    /**
     * @notice Returns the number of decimals for `gem`.
     * @return The number of decimals for `gem`.
     */
    function dec() external view returns (uint256) {
        return gem.decimals();
    }
    /**
     * @notice Returns whether the contract is live or not.
     * @return Whether the contract is live or not.
     */
    function live() external view returns (uint256) {
        return vat.live();
    }
}

// hevm: flattened sources of /nix/store/8xb41r4qd0cjb63wcrxf1qmfg88p0961-dss-6fd7de0/src/dai.sol
pragma solidity =0.5.12;

////// /nix/store/8xb41r4qd0cjb63wcrxf1qmfg88p0961-dss-6fd7de0/src/lib.sol
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

/* pragma solidity 0.5.12; */

contract LibNote {
    event LogNote(
        bytes4   indexed  sig,
        address  indexed  usr,
        bytes32  indexed  arg1,
        bytes32  indexed  arg2,
        bytes             data
    ) anonymous;

    modifier note {
        _;
        assembly {
            // log an 'anonymous' event with a constant 6 words of calldata
            // and four indexed topics: selector, caller, arg1 and arg2
            let mark := msize                         // end of memory ensures zero
            mstore(0x40, add(mark, 288))              // update free memory pointer
            mstore(mark, 0x20)                        // bytes type data offset
            mstore(add(mark, 0x20), 224)              // bytes size (padded)
            calldatacopy(add(mark, 0x40), 0, 224)     // bytes payload
            log4(mark, 288,                           // calldata
                 shl(224, shr(224, calldataload(0))), // msg.sig
                 caller,                              // msg.sender
                 calldataload(4),                     // arg1
                 calldataload(36)                     // arg2
                )
        }
    }
}

////// /nix/store/8xb41r4qd0cjb63wcrxf1qmfg88p0961-dss-6fd7de0/src/dai.sol
// Copyright (C) 2017, 2018, 2019 dbrock, rain, mrchico

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU Affero General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU Affero General Public License for more details.
//
// You should have received a copy of the GNU Affero General Public License
// along with this program.  If not, see <https://www.gnu.org/licenses/>.

/* pragma solidity 0.5.12; */

/* import "./lib.sol"; */

contract Dai is LibNote {
    // --- Auth ---
    mapping (address => uint) public wards;
    function rely(address guy) external note auth { wards[guy] = 1; }
    function deny(address guy) external note auth { wards[guy] = 0; }
    modifier auth {
        require(wards[msg.sender] == 1, "Dai/not-authorized");
        _;
    }

    // --- ERC20 Data ---
    string  public constant name     = "Dai Stablecoin";
    string  public constant symbol   = "DAI";
    string  public constant version  = "1";
    uint8   public constant decimals = 18;
    uint256 public totalSupply;

    mapping (address => uint)                      public balanceOf;
    mapping (address => mapping (address => uint)) public allowance;
    mapping (address => uint)                      public nonces;

    event Approval(address indexed src, address indexed guy, uint wad);
    event Transfer(address indexed src, address indexed dst, uint wad);

    // --- Math ---
    function add(uint x, uint y) internal pure returns (uint z) {
        require((z = x + y) >= x);
    }
    function sub(uint x, uint y) internal pure returns (uint z) {
        require((z = x - y) <= x);
    }

    // --- EIP712 niceties ---
    bytes32 public DOMAIN_SEPARATOR;
    // bytes32 public constant PERMIT_TYPEHASH = keccak256("Permit(address holder,address spender,uint256 nonce,uint256 expiry,bool allowed)");
    bytes32 public constant PERMIT_TYPEHASH = 0xea2aa0a1be11a07ed86d755c93467f4f82362b452371d1ba94d1715123511acb;

    constructor(uint256 chainId_) public {
        wards[msg.sender] = 1;
        DOMAIN_SEPARATOR = keccak256(abi.encode(
            keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)"),
            keccak256(bytes(name)),
            keccak256(bytes(version)),
            chainId_,
            address(this)
        ));
    }

    // --- Token ---
    function transfer(address dst, uint wad) external returns (bool) {
        return transferFrom(msg.sender, dst, wad);
    }
    function transferFrom(address src, address dst, uint wad)
        public returns (bool)
    {
        require(balanceOf[src] >= wad, "Dai/insufficient-balance");
        if (src != msg.sender && allowance[src][msg.sender] != uint(-1)) {
            require(allowance[src][msg.sender] >= wad, "Dai/insufficient-allowance");
            allowance[src][msg.sender] = sub(allowance[src][msg.sender], wad);
        }
        balanceOf[src] = sub(balanceOf[src], wad);
        balanceOf[dst] = add(balanceOf[dst], wad);
        emit Transfer(src, dst, wad);
        return true;
    }
    function mint(address usr, uint wad) external auth {
        balanceOf[usr] = add(balanceOf[usr], wad);
        totalSupply    = add(totalSupply, wad);
        emit Transfer(address(0), usr, wad);
    }
    function burn(address usr, uint wad) external {
        require(balanceOf[usr] >= wad, "Dai/insufficient-balance");
        if (usr != msg.sender && allowance[usr][msg.sender] != uint(-1)) {
            require(allowance[usr][msg.sender] >= wad, "Dai/insufficient-allowance");
            allowance[usr][msg.sender] = sub(allowance[usr][msg.sender], wad);
        }
        balanceOf[usr] = sub(balanceOf[usr], wad);
        totalSupply    = sub(totalSupply, wad);
        emit Transfer(usr, address(0), wad);
    }
    function approve(address usr, uint wad) external returns (bool) {
        allowance[msg.sender][usr] = wad;
        emit Approval(msg.sender, usr, wad);
        return true;
    }

    // --- Alias ---
    function push(address usr, uint wad) external {
        transferFrom(msg.sender, usr, wad);
    }
    function pull(address usr, uint wad) external {
        transferFrom(usr, msg.sender, wad);
    }
    function move(address src, address dst, uint wad) external {
        transferFrom(src, dst, wad);
    }

    // --- Approve by signature ---
    function permit(address holder, address spender, uint256 nonce, uint256 expiry,
                    bool allowed, uint8 v, bytes32 r, bytes32 s) external
    {
        bytes32 digest =
            keccak256(abi.encodePacked(
                "\x19\x01",
                DOMAIN_SEPARATOR,
                keccak256(abi.encode(PERMIT_TYPEHASH,
                                     holder,
                                     spender,
                                     nonce,
                                     expiry,
                                     allowed))
        ));

        require(holder != address(0), "Dai/invalid-address-0");
        require(holder == ecrecover(digest, v, r, s), "Dai/invalid-permit");
        require(expiry == 0 || now <= expiry, "Dai/permit-expired");
        require(nonce == nonces[holder]++, "Dai/invalid-nonce");
        uint wad = allowed ? uint(-1) : 0;
        allowance[holder][spender] = wad;
        emit Approval(holder, spender, wad);
    }
}

// SPDX-License-Identifier: BUSL-1.1
pragma solidity =0.7.6;
import './interfaces/IUniswapV3Pool.sol';
import './NoDelegateCall.sol';
import './libraries/LowGasSafeMath.sol';
import './libraries/SafeCast.sol';
import './libraries/Tick.sol';
import './libraries/TickBitmap.sol';
import './libraries/Position.sol';
import './libraries/Oracle.sol';
import './libraries/FullMath.sol';
import './libraries/FixedPoint128.sol';
import './libraries/TransferHelper.sol';
import './libraries/TickMath.sol';
import './libraries/LiquidityMath.sol';
import './libraries/SqrtPriceMath.sol';
import './libraries/SwapMath.sol';
import './interfaces/IUniswapV3PoolDeployer.sol';
import './interfaces/IUniswapV3Factory.sol';
import './interfaces/IERC20Minimal.sol';
import './interfaces/callback/IUniswapV3MintCallback.sol';
import './interfaces/callback/IUniswapV3SwapCallback.sol';
import './interfaces/callback/IUniswapV3FlashCallback.sol';
contract UniswapV3Pool is IUniswapV3Pool, NoDelegateCall {
    using LowGasSafeMath for uint256;
    using LowGasSafeMath for int256;
    using SafeCast for uint256;
    using SafeCast for int256;
    using Tick for mapping(int24 => Tick.Info);
    using TickBitmap for mapping(int16 => uint256);
    using Position for mapping(bytes32 => Position.Info);
    using Position for Position.Info;
    using Oracle for Oracle.Observation[65535];
    /// @inheritdoc IUniswapV3PoolImmutables
    address public immutable override factory;
    /// @inheritdoc IUniswapV3PoolImmutables
    address public immutable override token0;
    /// @inheritdoc IUniswapV3PoolImmutables
    address public immutable override token1;
    /// @inheritdoc IUniswapV3PoolImmutables
    uint24 public immutable override fee;
    /// @inheritdoc IUniswapV3PoolImmutables
    int24 public immutable override tickSpacing;
    /// @inheritdoc IUniswapV3PoolImmutables
    uint128 public immutable override maxLiquidityPerTick;
    struct Slot0 {
        // the current price
        uint160 sqrtPriceX96;
        // the current tick
        int24 tick;
        // the most-recently updated index of the observations array
        uint16 observationIndex;
        // the current maximum number of observations that are being stored
        uint16 observationCardinality;
        // the next maximum number of observations to store, triggered in observations.write
        uint16 observationCardinalityNext;
        // the current protocol fee as a percentage of the swap fee taken on withdrawal
        // represented as an integer denominator (1/x)%
        uint8 feeProtocol;
        // whether the pool is locked
        bool unlocked;
    }
    /// @inheritdoc IUniswapV3PoolState
    Slot0 public override slot0;
    /// @inheritdoc IUniswapV3PoolState
    uint256 public override feeGrowthGlobal0X128;
    /// @inheritdoc IUniswapV3PoolState
    uint256 public override feeGrowthGlobal1X128;
    // accumulated protocol fees in token0/token1 units
    struct ProtocolFees {
        uint128 token0;
        uint128 token1;
    }
    /// @inheritdoc IUniswapV3PoolState
    ProtocolFees public override protocolFees;
    /// @inheritdoc IUniswapV3PoolState
    uint128 public override liquidity;
    /// @inheritdoc IUniswapV3PoolState
    mapping(int24 => Tick.Info) public override ticks;
    /// @inheritdoc IUniswapV3PoolState
    mapping(int16 => uint256) public override tickBitmap;
    /// @inheritdoc IUniswapV3PoolState
    mapping(bytes32 => Position.Info) public override positions;
    /// @inheritdoc IUniswapV3PoolState
    Oracle.Observation[65535] public override observations;
    /// @dev Mutually exclusive reentrancy protection into the pool to/from a method. This method also prevents entrance
    /// to a function before the pool is initialized. The reentrancy guard is required throughout the contract because
    /// we use balance checks to determine the payment status of interactions such as mint, swap and flash.
    modifier lock() {
        require(slot0.unlocked, 'LOK');
        slot0.unlocked = false;
        _;
        slot0.unlocked = true;
    }
    /// @dev Prevents calling a function from anyone except the address returned by IUniswapV3Factory#owner()
    modifier onlyFactoryOwner() {
        require(msg.sender == IUniswapV3Factory(factory).owner());
        _;
    }
    constructor() {
        int24 _tickSpacing;
        (factory, token0, token1, fee, _tickSpacing) = IUniswapV3PoolDeployer(msg.sender).parameters();
        tickSpacing = _tickSpacing;
        maxLiquidityPerTick = Tick.tickSpacingToMaxLiquidityPerTick(_tickSpacing);
    }
    /// @dev Common checks for valid tick inputs.
    function checkTicks(int24 tickLower, int24 tickUpper) private pure {
        require(tickLower < tickUpper, 'TLU');
        require(tickLower >= TickMath.MIN_TICK, 'TLM');
        require(tickUpper <= TickMath.MAX_TICK, 'TUM');
    }
    /// @dev Returns the block timestamp truncated to 32 bits, i.e. mod 2**32. This method is overridden in tests.
    function _blockTimestamp() internal view virtual returns (uint32) {
        return uint32(block.timestamp); // truncation is desired
    }
    /// @dev Get the pool's balance of token0
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance0() private view returns (uint256) {
        (bool success, bytes memory data) =
            token0.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @dev Get the pool's balance of token1
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance1() private view returns (uint256) {
        (bool success, bytes memory data) =
            token1.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @inheritdoc IUniswapV3PoolDerivedState
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        override
        noDelegateCall
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        )
    {
        checkTicks(tickLower, tickUpper);
        int56 tickCumulativeLower;
        int56 tickCumulativeUpper;
        uint160 secondsPerLiquidityOutsideLowerX128;
        uint160 secondsPerLiquidityOutsideUpperX128;
        uint32 secondsOutsideLower;
        uint32 secondsOutsideUpper;
        {
            Tick.Info storage lower = ticks[tickLower];
            Tick.Info storage upper = ticks[tickUpper];
            bool initializedLower;
            (tickCumulativeLower, secondsPerLiquidityOutsideLowerX128, secondsOutsideLower, initializedLower) = (
                lower.tickCumulativeOutside,
                lower.secondsPerLiquidityOutsideX128,
                lower.secondsOutside,
                lower.initialized
            );
            require(initializedLower);
            bool initializedUpper;
            (tickCumulativeUpper, secondsPerLiquidityOutsideUpperX128, secondsOutsideUpper, initializedUpper) = (
                upper.tickCumulativeOutside,
                upper.secondsPerLiquidityOutsideX128,
                upper.secondsOutside,
                upper.initialized
            );
            require(initializedUpper);
        }
        Slot0 memory _slot0 = slot0;
        if (_slot0.tick < tickLower) {
            return (
                tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityOutsideLowerX128 - secondsPerLiquidityOutsideUpperX128,
                secondsOutsideLower - secondsOutsideUpper
            );
        } else if (_slot0.tick < tickUpper) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                observations.observeSingle(
                    time,
                    0,
                    _slot0.tick,
                    _slot0.observationIndex,
                    liquidity,
                    _slot0.observationCardinality
                );
            return (
                tickCumulative - tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityCumulativeX128 -
                    secondsPerLiquidityOutsideLowerX128 -
                    secondsPerLiquidityOutsideUpperX128,
                time - secondsOutsideLower - secondsOutsideUpper
            );
        } else {
            return (
                tickCumulativeUpper - tickCumulativeLower,
                secondsPerLiquidityOutsideUpperX128 - secondsPerLiquidityOutsideLowerX128,
                secondsOutsideUpper - secondsOutsideLower
            );
        }
    }
    /// @inheritdoc IUniswapV3PoolDerivedState
    function observe(uint32[] calldata secondsAgos)
        external
        view
        override
        noDelegateCall
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s)
    {
        return
            observations.observe(
                _blockTimestamp(),
                secondsAgos,
                slot0.tick,
                slot0.observationIndex,
                liquidity,
                slot0.observationCardinality
            );
    }
    /// @inheritdoc IUniswapV3PoolActions
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext)
        external
        override
        lock
        noDelegateCall
    {
        uint16 observationCardinalityNextOld = slot0.observationCardinalityNext; // for the event
        uint16 observationCardinalityNextNew =
            observations.grow(observationCardinalityNextOld, observationCardinalityNext);
        slot0.observationCardinalityNext = observationCardinalityNextNew;
        if (observationCardinalityNextOld != observationCardinalityNextNew)
            emit IncreaseObservationCardinalityNext(observationCardinalityNextOld, observationCardinalityNextNew);
    }
    /// @inheritdoc IUniswapV3PoolActions
    /// @dev not locked because it initializes unlocked
    function initialize(uint160 sqrtPriceX96) external override {
        require(slot0.sqrtPriceX96 == 0, 'AI');
        int24 tick = TickMath.getTickAtSqrtRatio(sqrtPriceX96);
        (uint16 cardinality, uint16 cardinalityNext) = observations.initialize(_blockTimestamp());
        slot0 = Slot0({
            sqrtPriceX96: sqrtPriceX96,
            tick: tick,
            observationIndex: 0,
            observationCardinality: cardinality,
            observationCardinalityNext: cardinalityNext,
            feeProtocol: 0,
            unlocked: true
        });
        emit Initialize(sqrtPriceX96, tick);
    }
    struct ModifyPositionParams {
        // the address that owns the position
        address owner;
        // the lower and upper tick of the position
        int24 tickLower;
        int24 tickUpper;
        // any change in liquidity
        int128 liquidityDelta;
    }
    /// @dev Effect some changes to a position
    /// @param params the position details and the change to the position's liquidity to effect
    /// @return position a storage pointer referencing the position with the given owner and tick range
    /// @return amount0 the amount of token0 owed to the pool, negative if the pool should pay the recipient
    /// @return amount1 the amount of token1 owed to the pool, negative if the pool should pay the recipient
    function _modifyPosition(ModifyPositionParams memory params)
        private
        noDelegateCall
        returns (
            Position.Info storage position,
            int256 amount0,
            int256 amount1
        )
    {
        checkTicks(params.tickLower, params.tickUpper);
        Slot0 memory _slot0 = slot0; // SLOAD for gas optimization
        position = _updatePosition(
            params.owner,
            params.tickLower,
            params.tickUpper,
            params.liquidityDelta,
            _slot0.tick
        );
        if (params.liquidityDelta != 0) {
            if (_slot0.tick < params.tickLower) {
                // current tick is below the passed range; liquidity can only become in range by crossing from left to
                // right, when we'll need _more_ token0 (it's becoming more valuable) so user must provide it
                amount0 = SqrtPriceMath.getAmount0Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            } else if (_slot0.tick < params.tickUpper) {
                // current tick is inside the passed range
                uint128 liquidityBefore = liquidity; // SLOAD for gas optimization
                // write an oracle entry
                (slot0.observationIndex, slot0.observationCardinality) = observations.write(
                    _slot0.observationIndex,
                    _blockTimestamp(),
                    _slot0.tick,
                    liquidityBefore,
                    _slot0.observationCardinality,
                    _slot0.observationCardinalityNext
                );
                amount0 = SqrtPriceMath.getAmount0Delta(
                    _slot0.sqrtPriceX96,
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    _slot0.sqrtPriceX96,
                    params.liquidityDelta
                );
                liquidity = LiquidityMath.addDelta(liquidityBefore, params.liquidityDelta);
            } else {
                // current tick is above the passed range; liquidity can only become in range by crossing from right to
                // left, when we'll need _more_ token1 (it's becoming more valuable) so user must provide it
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            }
        }
    }
    /// @dev Gets and updates a position with the given liquidity delta
    /// @param owner the owner of the position
    /// @param tickLower the lower tick of the position's tick range
    /// @param tickUpper the upper tick of the position's tick range
    /// @param tick the current tick, passed to avoid sloads
    function _updatePosition(
        address owner,
        int24 tickLower,
        int24 tickUpper,
        int128 liquidityDelta,
        int24 tick
    ) private returns (Position.Info storage position) {
        position = positions.get(owner, tickLower, tickUpper);
        uint256 _feeGrowthGlobal0X128 = feeGrowthGlobal0X128; // SLOAD for gas optimization
        uint256 _feeGrowthGlobal1X128 = feeGrowthGlobal1X128; // SLOAD for gas optimization
        // if we need to update the ticks, do it
        bool flippedLower;
        bool flippedUpper;
        if (liquidityDelta != 0) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                observations.observeSingle(
                    time,
                    0,
                    slot0.tick,
                    slot0.observationIndex,
                    liquidity,
                    slot0.observationCardinality
                );
            flippedLower = ticks.update(
                tickLower,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                false,
                maxLiquidityPerTick
            );
            flippedUpper = ticks.update(
                tickUpper,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                true,
                maxLiquidityPerTick
            );
            if (flippedLower) {
                tickBitmap.flipTick(tickLower, tickSpacing);
            }
            if (flippedUpper) {
                tickBitmap.flipTick(tickUpper, tickSpacing);
            }
        }
        (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) =
            ticks.getFeeGrowthInside(tickLower, tickUpper, tick, _feeGrowthGlobal0X128, _feeGrowthGlobal1X128);
        position.update(liquidityDelta, feeGrowthInside0X128, feeGrowthInside1X128);
        // clear any tick data that is no longer needed
        if (liquidityDelta < 0) {
            if (flippedLower) {
                ticks.clear(tickLower);
            }
            if (flippedUpper) {
                ticks.clear(tickUpper);
            }
        }
    }
    /// @inheritdoc IUniswapV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        require(amount > 0);
        (, int256 amount0Int, int256 amount1Int) =
            _modifyPosition(
                ModifyPositionParams({
                    owner: recipient,
                    tickLower: tickLower,
                    tickUpper: tickUpper,
                    liquidityDelta: int256(amount).toInt128()
                })
            );
        amount0 = uint256(amount0Int);
        amount1 = uint256(amount1Int);
        uint256 balance0Before;
        uint256 balance1Before;
        if (amount0 > 0) balance0Before = balance0();
        if (amount1 > 0) balance1Before = balance1();
        IUniswapV3MintCallback(msg.sender).uniswapV3MintCallback(amount0, amount1, data);
        if (amount0 > 0) require(balance0Before.add(amount0) <= balance0(), 'M0');
        if (amount1 > 0) require(balance1Before.add(amount1) <= balance1(), 'M1');
        emit Mint(msg.sender, recipient, tickLower, tickUpper, amount, amount0, amount1);
    }
    /// @inheritdoc IUniswapV3PoolActions
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock returns (uint128 amount0, uint128 amount1) {
        // we don't need to checkTicks here, because invalid positions will never have non-zero tokensOwed{0,1}
        Position.Info storage position = positions.get(msg.sender, tickLower, tickUpper);
        amount0 = amount0Requested > position.tokensOwed0 ? position.tokensOwed0 : amount0Requested;
        amount1 = amount1Requested > position.tokensOwed1 ? position.tokensOwed1 : amount1Requested;
        if (amount0 > 0) {
            position.tokensOwed0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            position.tokensOwed1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit Collect(msg.sender, recipient, tickLower, tickUpper, amount0, amount1);
    }
    /// @inheritdoc IUniswapV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        (Position.Info storage position, int256 amount0Int, int256 amount1Int) =
            _modifyPosition(
                ModifyPositionParams({
                    owner: msg.sender,
                    tickLower: tickLower,
                    tickUpper: tickUpper,
                    liquidityDelta: -int256(amount).toInt128()
                })
            );
        amount0 = uint256(-amount0Int);
        amount1 = uint256(-amount1Int);
        if (amount0 > 0 || amount1 > 0) {
            (position.tokensOwed0, position.tokensOwed1) = (
                position.tokensOwed0 + uint128(amount0),
                position.tokensOwed1 + uint128(amount1)
            );
        }
        emit Burn(msg.sender, tickLower, tickUpper, amount, amount0, amount1);
    }
    struct SwapCache {
        // the protocol fee for the input token
        uint8 feeProtocol;
        // liquidity at the beginning of the swap
        uint128 liquidityStart;
        // the timestamp of the current block
        uint32 blockTimestamp;
        // the current value of the tick accumulator, computed only if we cross an initialized tick
        int56 tickCumulative;
        // the current value of seconds per liquidity accumulator, computed only if we cross an initialized tick
        uint160 secondsPerLiquidityCumulativeX128;
        // whether we've computed and cached the above two accumulators
        bool computedLatestObservation;
    }
    // the top level state of the swap, the results of which are recorded in storage at the end
    struct SwapState {
        // the amount remaining to be swapped in/out of the input/output asset
        int256 amountSpecifiedRemaining;
        // the amount already swapped out/in of the output/input asset
        int256 amountCalculated;
        // current sqrt(price)
        uint160 sqrtPriceX96;
        // the tick associated with the current price
        int24 tick;
        // the global fee growth of the input token
        uint256 feeGrowthGlobalX128;
        // amount of input token paid as protocol fee
        uint128 protocolFee;
        // the current liquidity in range
        uint128 liquidity;
    }
    struct StepComputations {
        // the price at the beginning of the step
        uint160 sqrtPriceStartX96;
        // the next tick to swap to from the current tick in the swap direction
        int24 tickNext;
        // whether tickNext is initialized or not
        bool initialized;
        // sqrt(price) for the next tick (1/0)
        uint160 sqrtPriceNextX96;
        // how much is being swapped in in this step
        uint256 amountIn;
        // how much is being swapped out
        uint256 amountOut;
        // how much fee is being paid in
        uint256 feeAmount;
    }
    /// @inheritdoc IUniswapV3PoolActions
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external override noDelegateCall returns (int256 amount0, int256 amount1) {
        require(amountSpecified != 0, 'AS');
        Slot0 memory slot0Start = slot0;
        require(slot0Start.unlocked, 'LOK');
        require(
            zeroForOne
                ? sqrtPriceLimitX96 < slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 > TickMath.MIN_SQRT_RATIO
                : sqrtPriceLimitX96 > slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 < TickMath.MAX_SQRT_RATIO,
            'SPL'
        );
        slot0.unlocked = false;
        SwapCache memory cache =
            SwapCache({
                liquidityStart: liquidity,
                blockTimestamp: _blockTimestamp(),
                feeProtocol: zeroForOne ? (slot0Start.feeProtocol % 16) : (slot0Start.feeProtocol >> 4),
                secondsPerLiquidityCumulativeX128: 0,
                tickCumulative: 0,
                computedLatestObservation: false
            });
        bool exactInput = amountSpecified > 0;
        SwapState memory state =
            SwapState({
                amountSpecifiedRemaining: amountSpecified,
                amountCalculated: 0,
                sqrtPriceX96: slot0Start.sqrtPriceX96,
                tick: slot0Start.tick,
                feeGrowthGlobalX128: zeroForOne ? feeGrowthGlobal0X128 : feeGrowthGlobal1X128,
                protocolFee: 0,
                liquidity: cache.liquidityStart
            });
        // continue swapping as long as we haven't used the entire input/output and haven't reached the price limit
        while (state.amountSpecifiedRemaining != 0 && state.sqrtPriceX96 != sqrtPriceLimitX96) {
            StepComputations memory step;
            step.sqrtPriceStartX96 = state.sqrtPriceX96;
            (step.tickNext, step.initialized) = tickBitmap.nextInitializedTickWithinOneWord(
                state.tick,
                tickSpacing,
                zeroForOne
            );
            // ensure that we do not overshoot the min/max tick, as the tick bitmap is not aware of these bounds
            if (step.tickNext < TickMath.MIN_TICK) {
                step.tickNext = TickMath.MIN_TICK;
            } else if (step.tickNext > TickMath.MAX_TICK) {
                step.tickNext = TickMath.MAX_TICK;
            }
            // get the price for the next tick
            step.sqrtPriceNextX96 = TickMath.getSqrtRatioAtTick(step.tickNext);
            // compute values to swap to the target tick, price limit, or point where input/output amount is exhausted
            (state.sqrtPriceX96, step.amountIn, step.amountOut, step.feeAmount) = SwapMath.computeSwapStep(
                state.sqrtPriceX96,
                (zeroForOne ? step.sqrtPriceNextX96 < sqrtPriceLimitX96 : step.sqrtPriceNextX96 > sqrtPriceLimitX96)
                    ? sqrtPriceLimitX96
                    : step.sqrtPriceNextX96,
                state.liquidity,
                state.amountSpecifiedRemaining,
                fee
            );
            if (exactInput) {
                state.amountSpecifiedRemaining -= (step.amountIn + step.feeAmount).toInt256();
                state.amountCalculated = state.amountCalculated.sub(step.amountOut.toInt256());
            } else {
                state.amountSpecifiedRemaining += step.amountOut.toInt256();
                state.amountCalculated = state.amountCalculated.add((step.amountIn + step.feeAmount).toInt256());
            }
            // if the protocol fee is on, calculate how much is owed, decrement feeAmount, and increment protocolFee
            if (cache.feeProtocol > 0) {
                uint256 delta = step.feeAmount / cache.feeProtocol;
                step.feeAmount -= delta;
                state.protocolFee += uint128(delta);
            }
            // update global fee tracker
            if (state.liquidity > 0)
                state.feeGrowthGlobalX128 += FullMath.mulDiv(step.feeAmount, FixedPoint128.Q128, state.liquidity);
            // shift tick if we reached the next price
            if (state.sqrtPriceX96 == step.sqrtPriceNextX96) {
                // if the tick is initialized, run the tick transition
                if (step.initialized) {
                    // check for the placeholder value, which we replace with the actual value the first time the swap
                    // crosses an initialized tick
                    if (!cache.computedLatestObservation) {
                        (cache.tickCumulative, cache.secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                            cache.blockTimestamp,
                            0,
                            slot0Start.tick,
                            slot0Start.observationIndex,
                            cache.liquidityStart,
                            slot0Start.observationCardinality
                        );
                        cache.computedLatestObservation = true;
                    }
                    int128 liquidityNet =
                        ticks.cross(
                            step.tickNext,
                            (zeroForOne ? state.feeGrowthGlobalX128 : feeGrowthGlobal0X128),
                            (zeroForOne ? feeGrowthGlobal1X128 : state.feeGrowthGlobalX128),
                            cache.secondsPerLiquidityCumulativeX128,
                            cache.tickCumulative,
                            cache.blockTimestamp
                        );
                    // if we're moving leftward, we interpret liquidityNet as the opposite sign
                    // safe because liquidityNet cannot be type(int128).min
                    if (zeroForOne) liquidityNet = -liquidityNet;
                    state.liquidity = LiquidityMath.addDelta(state.liquidity, liquidityNet);
                }
                state.tick = zeroForOne ? step.tickNext - 1 : step.tickNext;
            } else if (state.sqrtPriceX96 != step.sqrtPriceStartX96) {
                // recompute unless we're on a lower tick boundary (i.e. already transitioned ticks), and haven't moved
                state.tick = TickMath.getTickAtSqrtRatio(state.sqrtPriceX96);
            }
        }
        // update tick and write an oracle entry if the tick change
        if (state.tick != slot0Start.tick) {
            (uint16 observationIndex, uint16 observationCardinality) =
                observations.write(
                    slot0Start.observationIndex,
                    cache.blockTimestamp,
                    slot0Start.tick,
                    cache.liquidityStart,
                    slot0Start.observationCardinality,
                    slot0Start.observationCardinalityNext
                );
            (slot0.sqrtPriceX96, slot0.tick, slot0.observationIndex, slot0.observationCardinality) = (
                state.sqrtPriceX96,
                state.tick,
                observationIndex,
                observationCardinality
            );
        } else {
            // otherwise just update the price
            slot0.sqrtPriceX96 = state.sqrtPriceX96;
        }
        // update liquidity if it changed
        if (cache.liquidityStart != state.liquidity) liquidity = state.liquidity;
        // update fee growth global and, if necessary, protocol fees
        // overflow is acceptable, protocol has to withdraw before it hits type(uint128).max fees
        if (zeroForOne) {
            feeGrowthGlobal0X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token0 += state.protocolFee;
        } else {
            feeGrowthGlobal1X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token1 += state.protocolFee;
        }
        (amount0, amount1) = zeroForOne == exactInput
            ? (amountSpecified - state.amountSpecifiedRemaining, state.amountCalculated)
            : (state.amountCalculated, amountSpecified - state.amountSpecifiedRemaining);
        // do the transfers and collect payment
        if (zeroForOne) {
            if (amount1 < 0) TransferHelper.safeTransfer(token1, recipient, uint256(-amount1));
            uint256 balance0Before = balance0();
            IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
            require(balance0Before.add(uint256(amount0)) <= balance0(), 'IIA');
        } else {
            if (amount0 < 0) TransferHelper.safeTransfer(token0, recipient, uint256(-amount0));
            uint256 balance1Before = balance1();
            IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
            require(balance1Before.add(uint256(amount1)) <= balance1(), 'IIA');
        }
        emit Swap(msg.sender, recipient, amount0, amount1, state.sqrtPriceX96, state.liquidity, state.tick);
        slot0.unlocked = true;
    }
    /// @inheritdoc IUniswapV3PoolActions
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external override lock noDelegateCall {
        uint128 _liquidity = liquidity;
        require(_liquidity > 0, 'L');
        uint256 fee0 = FullMath.mulDivRoundingUp(amount0, fee, 1e6);
        uint256 fee1 = FullMath.mulDivRoundingUp(amount1, fee, 1e6);
        uint256 balance0Before = balance0();
        uint256 balance1Before = balance1();
        if (amount0 > 0) TransferHelper.safeTransfer(token0, recipient, amount0);
        if (amount1 > 0) TransferHelper.safeTransfer(token1, recipient, amount1);
        IUniswapV3FlashCallback(msg.sender).uniswapV3FlashCallback(fee0, fee1, data);
        uint256 balance0After = balance0();
        uint256 balance1After = balance1();
        require(balance0Before.add(fee0) <= balance0After, 'F0');
        require(balance1Before.add(fee1) <= balance1After, 'F1');
        // sub is safe because we know balanceAfter is gt balanceBefore by at least fee
        uint256 paid0 = balance0After - balance0Before;
        uint256 paid1 = balance1After - balance1Before;
        if (paid0 > 0) {
            uint8 feeProtocol0 = slot0.feeProtocol % 16;
            uint256 fees0 = feeProtocol0 == 0 ? 0 : paid0 / feeProtocol0;
            if (uint128(fees0) > 0) protocolFees.token0 += uint128(fees0);
            feeGrowthGlobal0X128 += FullMath.mulDiv(paid0 - fees0, FixedPoint128.Q128, _liquidity);
        }
        if (paid1 > 0) {
            uint8 feeProtocol1 = slot0.feeProtocol >> 4;
            uint256 fees1 = feeProtocol1 == 0 ? 0 : paid1 / feeProtocol1;
            if (uint128(fees1) > 0) protocolFees.token1 += uint128(fees1);
            feeGrowthGlobal1X128 += FullMath.mulDiv(paid1 - fees1, FixedPoint128.Q128, _liquidity);
        }
        emit Flash(msg.sender, recipient, amount0, amount1, paid0, paid1);
    }
    /// @inheritdoc IUniswapV3PoolOwnerActions
    function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external override lock onlyFactoryOwner {
        require(
            (feeProtocol0 == 0 || (feeProtocol0 >= 4 && feeProtocol0 <= 10)) &&
                (feeProtocol1 == 0 || (feeProtocol1 >= 4 && feeProtocol1 <= 10))
        );
        uint8 feeProtocolOld = slot0.feeProtocol;
        slot0.feeProtocol = feeProtocol0 + (feeProtocol1 << 4);
        emit SetFeeProtocol(feeProtocolOld % 16, feeProtocolOld >> 4, feeProtocol0, feeProtocol1);
    }
    /// @inheritdoc IUniswapV3PoolOwnerActions
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock onlyFactoryOwner returns (uint128 amount0, uint128 amount1) {
        amount0 = amount0Requested > protocolFees.token0 ? protocolFees.token0 : amount0Requested;
        amount1 = amount1Requested > protocolFees.token1 ? protocolFees.token1 : amount1Requested;
        if (amount0 > 0) {
            if (amount0 == protocolFees.token0) amount0--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            if (amount1 == protocolFees.token1) amount1--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit CollectProtocol(msg.sender, recipient, amount0, amount1);
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './pool/IUniswapV3PoolImmutables.sol';
import './pool/IUniswapV3PoolState.sol';
import './pool/IUniswapV3PoolDerivedState.sol';
import './pool/IUniswapV3PoolActions.sol';
import './pool/IUniswapV3PoolOwnerActions.sol';
import './pool/IUniswapV3PoolEvents.sol';
/// @title The interface for a Uniswap V3 Pool
/// @notice A Uniswap pool facilitates swapping and automated market making between any two assets that strictly conform
/// to the ERC20 specification
/// @dev The pool interface is broken up into many smaller pieces
interface IUniswapV3Pool is
    IUniswapV3PoolImmutables,
    IUniswapV3PoolState,
    IUniswapV3PoolDerivedState,
    IUniswapV3PoolActions,
    IUniswapV3PoolOwnerActions,
    IUniswapV3PoolEvents
{
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity =0.7.6;
/// @title Prevents delegatecall to a contract
/// @notice Base contract that provides a modifier for preventing delegatecall to methods in a child contract
abstract contract NoDelegateCall {
    /// @dev The original address of this contract
    address private immutable original;
    constructor() {
        // Immutables are computed in the init code of the contract, and then inlined into the deployed bytecode.
        // In other words, this variable won't change when it's checked at runtime.
        original = address(this);
    }
    /// @dev Private method is used instead of inlining into modifier because modifiers are copied into each method,
    ///     and the use of immutable means the address bytes are copied in every place the modifier is used.
    function checkNotDelegateCall() private view {
        require(address(this) == original);
    }
    /// @notice Prevents delegatecall into the modified method
    modifier noDelegateCall() {
        checkNotDelegateCall();
        _;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.7.0;
/// @title Optimized overflow and underflow safe math operations
/// @notice Contains methods for doing math operations that revert on overflow or underflow for minimal gas cost
library LowGasSafeMath {
    /// @notice Returns x + y, reverts if sum overflows uint256
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x + y) >= x);
    }
    /// @notice Returns x - y, reverts if underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x - y) <= x);
    }
    /// @notice Returns x * y, reverts if overflows
    /// @param x The multiplicand
    /// @param y The multiplier
    /// @return z The product of x and y
    function mul(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require(x == 0 || (z = x * y) / x == y);
    }
    /// @notice Returns x + y, reverts if overflows or underflows
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x + y) >= x == (y >= 0));
    }
    /// @notice Returns x - y, reverts if overflows or underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x - y) <= x == (y >= 0));
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Safe casting methods
/// @notice Contains methods for safely casting between types
library SafeCast {
    /// @notice Cast a uint256 to a uint160, revert on overflow
    /// @param y The uint256 to be downcasted
    /// @return z The downcasted integer, now type uint160
    function toUint160(uint256 y) internal pure returns (uint160 z) {
        require((z = uint160(y)) == y);
    }
    /// @notice Cast a int256 to a int128, revert on overflow or underflow
    /// @param y The int256 to be downcasted
    /// @return z The downcasted integer, now type int128
    function toInt128(int256 y) internal pure returns (int128 z) {
        require((z = int128(y)) == y);
    }
    /// @notice Cast a uint256 to a int256, revert on overflow
    /// @param y The uint256 to be casted
    /// @return z The casted integer, now type int256
    function toInt256(uint256 y) internal pure returns (int256 z) {
        require(y < 2**255);
        z = int256(y);
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './TickMath.sol';
import './LiquidityMath.sol';
/// @title Tick
/// @notice Contains functions for managing tick processes and relevant calculations
library Tick {
    using LowGasSafeMath for int256;
    using SafeCast for int256;
    // info stored for each initialized individual tick
    struct Info {
        // the total position liquidity that references this tick
        uint128 liquidityGross;
        // amount of net liquidity added (subtracted) when tick is crossed from left to right (right to left),
        int128 liquidityNet;
        // fee growth per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint256 feeGrowthOutside0X128;
        uint256 feeGrowthOutside1X128;
        // the cumulative tick value on the other side of the tick
        int56 tickCumulativeOutside;
        // the seconds per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint160 secondsPerLiquidityOutsideX128;
        // the seconds spent on the other side of the tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint32 secondsOutside;
        // true iff the tick is initialized, i.e. the value is exactly equivalent to the expression liquidityGross != 0
        // these 8 bits are set to prevent fresh sstores when crossing newly initialized ticks
        bool initialized;
    }
    /// @notice Derives max liquidity per tick from given tick spacing
    /// @dev Executed within the pool constructor
    /// @param tickSpacing The amount of required tick separation, realized in multiples of `tickSpacing`
    ///     e.g., a tickSpacing of 3 requires ticks to be initialized every 3rd tick i.e., ..., -6, -3, 0, 3, 6, ...
    /// @return The max liquidity per tick
    function tickSpacingToMaxLiquidityPerTick(int24 tickSpacing) internal pure returns (uint128) {
        int24 minTick = (TickMath.MIN_TICK / tickSpacing) * tickSpacing;
        int24 maxTick = (TickMath.MAX_TICK / tickSpacing) * tickSpacing;
        uint24 numTicks = uint24((maxTick - minTick) / tickSpacing) + 1;
        return type(uint128).max / numTicks;
    }
    /// @notice Retrieves fee growth data
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @param tickCurrent The current tick
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @return feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @return feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function getFeeGrowthInside(
        mapping(int24 => Tick.Info) storage self,
        int24 tickLower,
        int24 tickUpper,
        int24 tickCurrent,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128
    ) internal view returns (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) {
        Info storage lower = self[tickLower];
        Info storage upper = self[tickUpper];
        // calculate fee growth below
        uint256 feeGrowthBelow0X128;
        uint256 feeGrowthBelow1X128;
        if (tickCurrent >= tickLower) {
            feeGrowthBelow0X128 = lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = lower.feeGrowthOutside1X128;
        } else {
            feeGrowthBelow0X128 = feeGrowthGlobal0X128 - lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = feeGrowthGlobal1X128 - lower.feeGrowthOutside1X128;
        }
        // calculate fee growth above
        uint256 feeGrowthAbove0X128;
        uint256 feeGrowthAbove1X128;
        if (tickCurrent < tickUpper) {
            feeGrowthAbove0X128 = upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = upper.feeGrowthOutside1X128;
        } else {
            feeGrowthAbove0X128 = feeGrowthGlobal0X128 - upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = feeGrowthGlobal1X128 - upper.feeGrowthOutside1X128;
        }
        feeGrowthInside0X128 = feeGrowthGlobal0X128 - feeGrowthBelow0X128 - feeGrowthAbove0X128;
        feeGrowthInside1X128 = feeGrowthGlobal1X128 - feeGrowthBelow1X128 - feeGrowthAbove1X128;
    }
    /// @notice Updates a tick and returns true if the tick was flipped from initialized to uninitialized, or vice versa
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The tick that will be updated
    /// @param tickCurrent The current tick
    /// @param liquidityDelta A new amount of liquidity to be added (subtracted) when tick is crossed from left to right (right to left)
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The all-time seconds per max(1, liquidity) of the pool
    /// @param time The current block timestamp cast to a uint32
    /// @param upper true for updating a position's upper tick, or false for updating a position's lower tick
    /// @param maxLiquidity The maximum liquidity allocation for a single tick
    /// @return flipped Whether the tick was flipped from initialized to uninitialized, or vice versa
    function update(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        int24 tickCurrent,
        int128 liquidityDelta,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time,
        bool upper,
        uint128 maxLiquidity
    ) internal returns (bool flipped) {
        Tick.Info storage info = self[tick];
        uint128 liquidityGrossBefore = info.liquidityGross;
        uint128 liquidityGrossAfter = LiquidityMath.addDelta(liquidityGrossBefore, liquidityDelta);
        require(liquidityGrossAfter <= maxLiquidity, 'LO');
        flipped = (liquidityGrossAfter == 0) != (liquidityGrossBefore == 0);
        if (liquidityGrossBefore == 0) {
            // by convention, we assume that all growth before a tick was initialized happened _below_ the tick
            if (tick <= tickCurrent) {
                info.feeGrowthOutside0X128 = feeGrowthGlobal0X128;
                info.feeGrowthOutside1X128 = feeGrowthGlobal1X128;
                info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128;
                info.tickCumulativeOutside = tickCumulative;
                info.secondsOutside = time;
            }
            info.initialized = true;
        }
        info.liquidityGross = liquidityGrossAfter;
        // when the lower (upper) tick is crossed left to right (right to left), liquidity must be added (removed)
        info.liquidityNet = upper
            ? int256(info.liquidityNet).sub(liquidityDelta).toInt128()
            : int256(info.liquidityNet).add(liquidityDelta).toInt128();
    }
    /// @notice Clears tick data
    /// @param self The mapping containing all initialized tick information for initialized ticks
    /// @param tick The tick that will be cleared
    function clear(mapping(int24 => Tick.Info) storage self, int24 tick) internal {
        delete self[tick];
    }
    /// @notice Transitions to next tick as needed by price movement
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The destination tick of the transition
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The current seconds per liquidity
    /// @param time The current block.timestamp
    /// @return liquidityNet The amount of liquidity added (subtracted) when tick is crossed from left to right (right to left)
    function cross(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time
    ) internal returns (int128 liquidityNet) {
        Tick.Info storage info = self[tick];
        info.feeGrowthOutside0X128 = feeGrowthGlobal0X128 - info.feeGrowthOutside0X128;
        info.feeGrowthOutside1X128 = feeGrowthGlobal1X128 - info.feeGrowthOutside1X128;
        info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128 - info.secondsPerLiquidityOutsideX128;
        info.tickCumulativeOutside = tickCumulative - info.tickCumulativeOutside;
        info.secondsOutside = time - info.secondsOutside;
        liquidityNet = info.liquidityNet;
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './BitMath.sol';
/// @title Packed tick initialized state library
/// @notice Stores a packed mapping of tick index to its initialized state
/// @dev The mapping uses int16 for keys since ticks are represented as int24 and there are 256 (2^8) values per word.
library TickBitmap {
    /// @notice Computes the position in the mapping where the initialized bit for a tick lives
    /// @param tick The tick for which to compute the position
    /// @return wordPos The key in the mapping containing the word in which the bit is stored
    /// @return bitPos The bit position in the word where the flag is stored
    function position(int24 tick) private pure returns (int16 wordPos, uint8 bitPos) {
        wordPos = int16(tick >> 8);
        bitPos = uint8(tick % 256);
    }
    /// @notice Flips the initialized state for a given tick from false to true, or vice versa
    /// @param self The mapping in which to flip the tick
    /// @param tick The tick to flip
    /// @param tickSpacing The spacing between usable ticks
    function flipTick(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing
    ) internal {
        require(tick % tickSpacing == 0); // ensure that the tick is spaced
        (int16 wordPos, uint8 bitPos) = position(tick / tickSpacing);
        uint256 mask = 1 << bitPos;
        self[wordPos] ^= mask;
    }
    /// @notice Returns the next initialized tick contained in the same word (or adjacent word) as the tick that is either
    /// to the left (less than or equal to) or right (greater than) of the given tick
    /// @param self The mapping in which to compute the next initialized tick
    /// @param tick The starting tick
    /// @param tickSpacing The spacing between usable ticks
    /// @param lte Whether to search for the next initialized tick to the left (less than or equal to the starting tick)
    /// @return next The next initialized or uninitialized tick up to 256 ticks away from the current tick
    /// @return initialized Whether the next tick is initialized, as the function only searches within up to 256 ticks
    function nextInitializedTickWithinOneWord(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing,
        bool lte
    ) internal view returns (int24 next, bool initialized) {
        int24 compressed = tick / tickSpacing;
        if (tick < 0 && tick % tickSpacing != 0) compressed--; // round towards negative infinity
        if (lte) {
            (int16 wordPos, uint8 bitPos) = position(compressed);
            // all the 1s at or to the right of the current bitPos
            uint256 mask = (1 << bitPos) - 1 + (1 << bitPos);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the right of or at the current tick, return rightmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed - int24(bitPos - BitMath.mostSignificantBit(masked))) * tickSpacing
                : (compressed - int24(bitPos)) * tickSpacing;
        } else {
            // start from the word of the next tick, since the current tick state doesn't matter
            (int16 wordPos, uint8 bitPos) = position(compressed + 1);
            // all the 1s at or to the left of the bitPos
            uint256 mask = ~((1 << bitPos) - 1);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the left of the current tick, return leftmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed + 1 + int24(BitMath.leastSignificantBit(masked) - bitPos)) * tickSpacing
                : (compressed + 1 + int24(type(uint8).max - bitPos)) * tickSpacing;
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './FullMath.sol';
import './FixedPoint128.sol';
import './LiquidityMath.sol';
/// @title Position
/// @notice Positions represent an owner address' liquidity between a lower and upper tick boundary
/// @dev Positions store additional state for tracking fees owed to the position
library Position {
    // info stored for each user's position
    struct Info {
        // the amount of liquidity owned by this position
        uint128 liquidity;
        // fee growth per unit of liquidity as of the last update to liquidity or fees owed
        uint256 feeGrowthInside0LastX128;
        uint256 feeGrowthInside1LastX128;
        // the fees owed to the position owner in token0/token1
        uint128 tokensOwed0;
        uint128 tokensOwed1;
    }
    /// @notice Returns the Info struct of a position, given an owner and position boundaries
    /// @param self The mapping containing all user positions
    /// @param owner The address of the position owner
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @return position The position info struct of the given owners' position
    function get(
        mapping(bytes32 => Info) storage self,
        address owner,
        int24 tickLower,
        int24 tickUpper
    ) internal view returns (Position.Info storage position) {
        position = self[keccak256(abi.encodePacked(owner, tickLower, tickUpper))];
    }
    /// @notice Credits accumulated fees to a user's position
    /// @param self The individual position to update
    /// @param liquidityDelta The change in pool liquidity as a result of the position update
    /// @param feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @param feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function update(
        Info storage self,
        int128 liquidityDelta,
        uint256 feeGrowthInside0X128,
        uint256 feeGrowthInside1X128
    ) internal {
        Info memory _self = self;
        uint128 liquidityNext;
        if (liquidityDelta == 0) {
            require(_self.liquidity > 0, 'NP'); // disallow pokes for 0 liquidity positions
            liquidityNext = _self.liquidity;
        } else {
            liquidityNext = LiquidityMath.addDelta(_self.liquidity, liquidityDelta);
        }
        // calculate accumulated fees
        uint128 tokensOwed0 =
            uint128(
                FullMath.mulDiv(
                    feeGrowthInside0X128 - _self.feeGrowthInside0LastX128,
                    _self.liquidity,
                    FixedPoint128.Q128
                )
            );
        uint128 tokensOwed1 =
            uint128(
                FullMath.mulDiv(
                    feeGrowthInside1X128 - _self.feeGrowthInside1LastX128,
                    _self.liquidity,
                    FixedPoint128.Q128
                )
            );
        // update the position
        if (liquidityDelta != 0) self.liquidity = liquidityNext;
        self.feeGrowthInside0LastX128 = feeGrowthInside0X128;
        self.feeGrowthInside1LastX128 = feeGrowthInside1X128;
        if (tokensOwed0 > 0 || tokensOwed1 > 0) {
            // overflow is acceptable, have to withdraw before you hit type(uint128).max fees
            self.tokensOwed0 += tokensOwed0;
            self.tokensOwed1 += tokensOwed1;
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
/// @title Oracle
/// @notice Provides price and liquidity data useful for a wide variety of system designs
/// @dev Instances of stored oracle data, "observations", are collected in the oracle array
/// Every pool is initialized with an oracle array length of 1. Anyone can pay the SSTOREs to increase the
/// maximum length of the oracle array. New slots will be added when the array is fully populated.
/// Observations are overwritten when the full length of the oracle array is populated.
/// The most recent observation is available, independent of the length of the oracle array, by passing 0 to observe()
library Oracle {
    struct Observation {
        // the block timestamp of the observation
        uint32 blockTimestamp;
        // the tick accumulator, i.e. tick * time elapsed since the pool was first initialized
        int56 tickCumulative;
        // the seconds per liquidity, i.e. seconds elapsed / max(1, liquidity) since the pool was first initialized
        uint160 secondsPerLiquidityCumulativeX128;
        // whether or not the observation is initialized
        bool initialized;
    }
    /// @notice Transforms a previous observation into a new observation, given the passage of time and the current tick and liquidity values
    /// @dev blockTimestamp _must_ be chronologically equal to or greater than last.blockTimestamp, safe for 0 or 1 overflows
    /// @param last The specified observation to be transformed
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @return Observation The newly populated observation
    function transform(
        Observation memory last,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity
    ) private pure returns (Observation memory) {
        uint32 delta = blockTimestamp - last.blockTimestamp;
        return
            Observation({
                blockTimestamp: blockTimestamp,
                tickCumulative: last.tickCumulative + int56(tick) * delta,
                secondsPerLiquidityCumulativeX128: last.secondsPerLiquidityCumulativeX128 +
                    ((uint160(delta) << 128) / (liquidity > 0 ? liquidity : 1)),
                initialized: true
            });
    }
    /// @notice Initialize the oracle array by writing the first slot. Called once for the lifecycle of the observations array
    /// @param self The stored oracle array
    /// @param time The time of the oracle initialization, via block.timestamp truncated to uint32
    /// @return cardinality The number of populated elements in the oracle array
    /// @return cardinalityNext The new length of the oracle array, independent of population
    function initialize(Observation[65535] storage self, uint32 time)
        internal
        returns (uint16 cardinality, uint16 cardinalityNext)
    {
        self[0] = Observation({
            blockTimestamp: time,
            tickCumulative: 0,
            secondsPerLiquidityCumulativeX128: 0,
            initialized: true
        });
        return (1, 1);
    }
    /// @notice Writes an oracle observation to the array
    /// @dev Writable at most once per block. Index represents the most recently written element. cardinality and index must be tracked externally.
    /// If the index is at the end of the allowable array length (according to cardinality), and the next cardinality
    /// is greater than the current one, cardinality may be increased. This restriction is created to preserve ordering.
    /// @param self The stored oracle array
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @param cardinality The number of populated elements in the oracle array
    /// @param cardinalityNext The new length of the oracle array, independent of population
    /// @return indexUpdated The new index of the most recently written element in the oracle array
    /// @return cardinalityUpdated The new cardinality of the oracle array
    function write(
        Observation[65535] storage self,
        uint16 index,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity,
        uint16 cardinality,
        uint16 cardinalityNext
    ) internal returns (uint16 indexUpdated, uint16 cardinalityUpdated) {
        Observation memory last = self[index];
        // early return if we've already written an observation this block
        if (last.blockTimestamp == blockTimestamp) return (index, cardinality);
        // if the conditions are right, we can bump the cardinality
        if (cardinalityNext > cardinality && index == (cardinality - 1)) {
            cardinalityUpdated = cardinalityNext;
        } else {
            cardinalityUpdated = cardinality;
        }
        indexUpdated = (index + 1) % cardinalityUpdated;
        self[indexUpdated] = transform(last, blockTimestamp, tick, liquidity);
    }
    /// @notice Prepares the oracle array to store up to `next` observations
    /// @param self The stored oracle array
    /// @param current The current next cardinality of the oracle array
    /// @param next The proposed next cardinality which will be populated in the oracle array
    /// @return next The next cardinality which will be populated in the oracle array
    function grow(
        Observation[65535] storage self,
        uint16 current,
        uint16 next
    ) internal returns (uint16) {
        require(current > 0, 'I');
        // no-op if the passed next value isn't greater than the current next value
        if (next <= current) return current;
        // store in each slot to prevent fresh SSTOREs in swaps
        // this data will not be used because the initialized boolean is still false
        for (uint16 i = current; i < next; i++) self[i].blockTimestamp = 1;
        return next;
    }
    /// @notice comparator for 32-bit timestamps
    /// @dev safe for 0 or 1 overflows, a and b _must_ be chronologically before or equal to time
    /// @param time A timestamp truncated to 32 bits
    /// @param a A comparison timestamp from which to determine the relative position of `time`
    /// @param b From which to determine the relative position of `time`
    /// @return bool Whether `a` is chronologically <= `b`
    function lte(
        uint32 time,
        uint32 a,
        uint32 b
    ) private pure returns (bool) {
        // if there hasn't been overflow, no need to adjust
        if (a <= time && b <= time) return a <= b;
        uint256 aAdjusted = a > time ? a : a + 2**32;
        uint256 bAdjusted = b > time ? b : b + 2**32;
        return aAdjusted <= bAdjusted;
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a target, i.e. where [beforeOrAt, atOrAfter] is satisfied.
    /// The result may be the same observation, or adjacent observations.
    /// @dev The answer must be contained in the array, used when the target is located within the stored observation
    /// boundaries: older than the most recent observation and younger, or the same age as, the oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation recorded before, or at, the target
    /// @return atOrAfter The observation recorded at, or after, the target
    function binarySearch(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        uint16 index,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        uint256 l = (index + 1) % cardinality; // oldest observation
        uint256 r = l + cardinality - 1; // newest observation
        uint256 i;
        while (true) {
            i = (l + r) / 2;
            beforeOrAt = self[i % cardinality];
            // we've landed on an uninitialized tick, keep searching higher (more recently)
            if (!beforeOrAt.initialized) {
                l = i + 1;
                continue;
            }
            atOrAfter = self[(i + 1) % cardinality];
            bool targetAtOrAfter = lte(time, beforeOrAt.blockTimestamp, target);
            // check if we've found the answer!
            if (targetAtOrAfter && lte(time, target, atOrAfter.blockTimestamp)) break;
            if (!targetAtOrAfter) r = i - 1;
            else l = i + 1;
        }
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a given target, i.e. where [beforeOrAt, atOrAfter] is satisfied
    /// @dev Assumes there is at least 1 initialized observation.
    /// Used by observeSingle() to compute the counterfactual accumulator values as of a given block timestamp.
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param tick The active tick at the time of the returned or simulated observation
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The total pool liquidity at the time of the call
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation which occurred at, or before, the given timestamp
    /// @return atOrAfter The observation which occurred at, or after, the given timestamp
    function getSurroundingObservations(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        // optimistically set before to the newest observation
        beforeOrAt = self[index];
        // if the target is chronologically at or after the newest observation, we can early return
        if (lte(time, beforeOrAt.blockTimestamp, target)) {
            if (beforeOrAt.blockTimestamp == target) {
                // if newest observation equals target, we're in the same block, so we can ignore atOrAfter
                return (beforeOrAt, atOrAfter);
            } else {
                // otherwise, we need to transform
                return (beforeOrAt, transform(beforeOrAt, target, tick, liquidity));
            }
        }
        // now, set before to the oldest observation
        beforeOrAt = self[(index + 1) % cardinality];
        if (!beforeOrAt.initialized) beforeOrAt = self[0];
        // ensure that the target is chronologically at or after the oldest observation
        require(lte(time, beforeOrAt.blockTimestamp, target), 'OLD');
        // if we've reached this point, we have to binary search
        return binarySearch(self, time, target, index, cardinality);
    }
    /// @dev Reverts if an observation at or before the desired observation timestamp does not exist.
    /// 0 may be passed as `secondsAgo' to return the current cumulative values.
    /// If called with a timestamp falling between two observations, returns the counterfactual accumulator values
    /// at exactly the timestamp between the two observations.
    /// @param self The stored oracle array
    /// @param time The current block timestamp
    /// @param secondsAgo The amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulative The tick * time elapsed since the pool was first initialized, as of `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128 The time elapsed / max(1, liquidity) since the pool was first initialized, as of `secondsAgo`
    function observeSingle(
        Observation[65535] storage self,
        uint32 time,
        uint32 secondsAgo,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) {
        if (secondsAgo == 0) {
            Observation memory last = self[index];
            if (last.blockTimestamp != time) last = transform(last, time, tick, liquidity);
            return (last.tickCumulative, last.secondsPerLiquidityCumulativeX128);
        }
        uint32 target = time - secondsAgo;
        (Observation memory beforeOrAt, Observation memory atOrAfter) =
            getSurroundingObservations(self, time, target, tick, index, liquidity, cardinality);
        if (target == beforeOrAt.blockTimestamp) {
            // we're at the left boundary
            return (beforeOrAt.tickCumulative, beforeOrAt.secondsPerLiquidityCumulativeX128);
        } else if (target == atOrAfter.blockTimestamp) {
            // we're at the right boundary
            return (atOrAfter.tickCumulative, atOrAfter.secondsPerLiquidityCumulativeX128);
        } else {
            // we're in the middle
            uint32 observationTimeDelta = atOrAfter.blockTimestamp - beforeOrAt.blockTimestamp;
            uint32 targetDelta = target - beforeOrAt.blockTimestamp;
            return (
                beforeOrAt.tickCumulative +
                    ((atOrAfter.tickCumulative - beforeOrAt.tickCumulative) / observationTimeDelta) *
                    targetDelta,
                beforeOrAt.secondsPerLiquidityCumulativeX128 +
                    uint160(
                        (uint256(
                            atOrAfter.secondsPerLiquidityCumulativeX128 - beforeOrAt.secondsPerLiquidityCumulativeX128
                        ) * targetDelta) / observationTimeDelta
                    )
            );
        }
    }
    /// @notice Returns the accumulator values as of each time seconds ago from the given time in the array of `secondsAgos`
    /// @dev Reverts if `secondsAgos` > oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param secondsAgos Each amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulatives The tick * time elapsed since the pool was first initialized, as of each `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128s The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of each `secondsAgo`
    function observe(
        Observation[65535] storage self,
        uint32 time,
        uint32[] memory secondsAgos,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s) {
        require(cardinality > 0, 'I');
        tickCumulatives = new int56[](secondsAgos.length);
        secondsPerLiquidityCumulativeX128s = new uint160[](secondsAgos.length);
        for (uint256 i = 0; i < secondsAgos.length; i++) {
            (tickCumulatives[i], secondsPerLiquidityCumulativeX128s[i]) = observeSingle(
                self,
                time,
                secondsAgos[i],
                tick,
                index,
                liquidity,
                cardinality
            );
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.4.0;
/// @title Contains 512-bit math functions
/// @notice Facilitates multiplication and division that can have overflow of an intermediate value without any loss of precision
/// @dev Handles "phantom overflow" i.e., allows multiplication and division where an intermediate value overflows 256 bits
library FullMath {
    /// @notice Calculates floor(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
    function mulDiv(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        // 512-bit multiply [prod1 prod0] = a * b
        // Compute the product mod 2**256 and mod 2**256 - 1
        // then use the Chinese Remainder Theorem to reconstruct
        // the 512 bit result. The result is stored in two 256
        // variables such that product = prod1 * 2**256 + prod0
        uint256 prod0; // Least significant 256 bits of the product
        uint256 prod1; // Most significant 256 bits of the product
        assembly {
            let mm := mulmod(a, b, not(0))
            prod0 := mul(a, b)
            prod1 := sub(sub(mm, prod0), lt(mm, prod0))
        }
        // Handle non-overflow cases, 256 by 256 division
        if (prod1 == 0) {
            require(denominator > 0);
            assembly {
                result := div(prod0, denominator)
            }
            return result;
        }
        // Make sure the result is less than 2**256.
        // Also prevents denominator == 0
        require(denominator > prod1);
        ///////////////////////////////////////////////
        // 512 by 256 division.
        ///////////////////////////////////////////////
        // Make division exact by subtracting the remainder from [prod1 prod0]
        // Compute remainder using mulmod
        uint256 remainder;
        assembly {
            remainder := mulmod(a, b, denominator)
        }
        // Subtract 256 bit number from 512 bit number
        assembly {
            prod1 := sub(prod1, gt(remainder, prod0))
            prod0 := sub(prod0, remainder)
        }
        // Factor powers of two out of denominator
        // Compute largest power of two divisor of denominator.
        // Always >= 1.
        uint256 twos = -denominator & denominator;
        // Divide denominator by power of two
        assembly {
            denominator := div(denominator, twos)
        }
        // Divide [prod1 prod0] by the factors of two
        assembly {
            prod0 := div(prod0, twos)
        }
        // Shift in bits from prod1 into prod0. For this we need
        // to flip `twos` such that it is 2**256 / twos.
        // If twos is zero, then it becomes one
        assembly {
            twos := add(div(sub(0, twos), twos), 1)
        }
        prod0 |= prod1 * twos;
        // Invert denominator mod 2**256
        // Now that denominator is an odd number, it has an inverse
        // modulo 2**256 such that denominator * inv = 1 mod 2**256.
        // Compute the inverse by starting with a seed that is correct
        // correct for four bits. That is, denominator * inv = 1 mod 2**4
        uint256 inv = (3 * denominator) ^ 2;
        // Now use Newton-Raphson iteration to improve the precision.
        // Thanks to Hensel's lifting lemma, this also works in modular
        // arithmetic, doubling the correct bits in each step.
        inv *= 2 - denominator * inv; // inverse mod 2**8
        inv *= 2 - denominator * inv; // inverse mod 2**16
        inv *= 2 - denominator * inv; // inverse mod 2**32
        inv *= 2 - denominator * inv; // inverse mod 2**64
        inv *= 2 - denominator * inv; // inverse mod 2**128
        inv *= 2 - denominator * inv; // inverse mod 2**256
        // Because the division is now exact we can divide by multiplying
        // with the modular inverse of denominator. This will give us the
        // correct result modulo 2**256. Since the precoditions guarantee
        // that the outcome is less than 2**256, this is the final result.
        // We don't need to compute the high bits of the result and prod1
        // is no longer required.
        result = prod0 * inv;
        return result;
    }
    /// @notice Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    function mulDivRoundingUp(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        result = mulDiv(a, b, denominator);
        if (mulmod(a, b, denominator) > 0) {
            require(result < type(uint256).max);
            result++;
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0;
/// @title FixedPoint128
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
library FixedPoint128 {
    uint256 internal constant Q128 = 0x100000000000000000000000000000000;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.6.0;
import '../interfaces/IERC20Minimal.sol';
/// @title TransferHelper
/// @notice Contains helper methods for interacting with ERC20 tokens that do not consistently return true/false
library TransferHelper {
    /// @notice Transfers tokens from msg.sender to a recipient
    /// @dev Calls transfer on token contract, errors with TF if transfer fails
    /// @param token The contract address of the token which will be transferred
    /// @param to The recipient of the transfer
    /// @param value The value of the transfer
    function safeTransfer(
        address token,
        address to,
        uint256 value
    ) internal {
        (bool success, bytes memory data) =
            token.call(abi.encodeWithSelector(IERC20Minimal.transfer.selector, to, value));
        require(success && (data.length == 0 || abi.decode(data, (bool))), 'TF');
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math library for computing sqrt prices from ticks and vice versa
/// @notice Computes sqrt price for ticks of size 1.0001, i.e. sqrt(1.0001^tick) as fixed point Q64.96 numbers. Supports
/// prices between 2**-128 and 2**128
library TickMath {
    /// @dev The minimum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**-128
    int24 internal constant MIN_TICK = -887272;
    /// @dev The maximum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**128
    int24 internal constant MAX_TICK = -MIN_TICK;
    /// @dev The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
    uint160 internal constant MIN_SQRT_RATIO = 4295128739;
    /// @dev The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
    uint160 internal constant MAX_SQRT_RATIO = 1461446703485210103287273052203988822378723970342;
    /// @notice Calculates sqrt(1.0001^tick) * 2^96
    /// @dev Throws if |tick| > max tick
    /// @param tick The input tick for the above formula
    /// @return sqrtPriceX96 A Fixed point Q64.96 number representing the sqrt of the ratio of the two assets (token1/token0)
    /// at the given tick
    function getSqrtRatioAtTick(int24 tick) internal pure returns (uint160 sqrtPriceX96) {
        uint256 absTick = tick < 0 ? uint256(-int256(tick)) : uint256(int256(tick));
        require(absTick <= uint256(MAX_TICK), 'T');
        uint256 ratio = absTick & 0x1 != 0 ? 0xfffcb933bd6fad37aa2d162d1a594001 : 0x100000000000000000000000000000000;
        if (absTick & 0x2 != 0) ratio = (ratio * 0xfff97272373d413259a46990580e213a) >> 128;
        if (absTick & 0x4 != 0) ratio = (ratio * 0xfff2e50f5f656932ef12357cf3c7fdcc) >> 128;
        if (absTick & 0x8 != 0) ratio = (ratio * 0xffe5caca7e10e4e61c3624eaa0941cd0) >> 128;
        if (absTick & 0x10 != 0) ratio = (ratio * 0xffcb9843d60f6159c9db58835c926644) >> 128;
        if (absTick & 0x20 != 0) ratio = (ratio * 0xff973b41fa98c081472e6896dfb254c0) >> 128;
        if (absTick & 0x40 != 0) ratio = (ratio * 0xff2ea16466c96a3843ec78b326b52861) >> 128;
        if (absTick & 0x80 != 0) ratio = (ratio * 0xfe5dee046a99a2a811c461f1969c3053) >> 128;
        if (absTick & 0x100 != 0) ratio = (ratio * 0xfcbe86c7900a88aedcffc83b479aa3a4) >> 128;
        if (absTick & 0x200 != 0) ratio = (ratio * 0xf987a7253ac413176f2b074cf7815e54) >> 128;
        if (absTick & 0x400 != 0) ratio = (ratio * 0xf3392b0822b70005940c7a398e4b70f3) >> 128;
        if (absTick & 0x800 != 0) ratio = (ratio * 0xe7159475a2c29b7443b29c7fa6e889d9) >> 128;
        if (absTick & 0x1000 != 0) ratio = (ratio * 0xd097f3bdfd2022b8845ad8f792aa5825) >> 128;
        if (absTick & 0x2000 != 0) ratio = (ratio * 0xa9f746462d870fdf8a65dc1f90e061e5) >> 128;
        if (absTick & 0x4000 != 0) ratio = (ratio * 0x70d869a156d2a1b890bb3df62baf32f7) >> 128;
        if (absTick & 0x8000 != 0) ratio = (ratio * 0x31be135f97d08fd981231505542fcfa6) >> 128;
        if (absTick & 0x10000 != 0) ratio = (ratio * 0x9aa508b5b7a84e1c677de54f3e99bc9) >> 128;
        if (absTick & 0x20000 != 0) ratio = (ratio * 0x5d6af8dedb81196699c329225ee604) >> 128;
        if (absTick & 0x40000 != 0) ratio = (ratio * 0x2216e584f5fa1ea926041bedfe98) >> 128;
        if (absTick & 0x80000 != 0) ratio = (ratio * 0x48a170391f7dc42444e8fa2) >> 128;
        if (tick > 0) ratio = type(uint256).max / ratio;
        // this divides by 1<<32 rounding up to go from a Q128.128 to a Q128.96.
        // we then downcast because we know the result always fits within 160 bits due to our tick input constraint
        // we round up in the division so getTickAtSqrtRatio of the output price is always consistent
        sqrtPriceX96 = uint160((ratio >> 32) + (ratio % (1 << 32) == 0 ? 0 : 1));
    }
    /// @notice Calculates the greatest tick value such that getRatioAtTick(tick) <= ratio
    /// @dev Throws in case sqrtPriceX96 < MIN_SQRT_RATIO, as MIN_SQRT_RATIO is the lowest value getRatioAtTick may
    /// ever return.
    /// @param sqrtPriceX96 The sqrt ratio for which to compute the tick as a Q64.96
    /// @return tick The greatest tick for which the ratio is less than or equal to the input ratio
    function getTickAtSqrtRatio(uint160 sqrtPriceX96) internal pure returns (int24 tick) {
        // second inequality must be < because the price can never reach the price at the max tick
        require(sqrtPriceX96 >= MIN_SQRT_RATIO && sqrtPriceX96 < MAX_SQRT_RATIO, 'R');
        uint256 ratio = uint256(sqrtPriceX96) << 32;
        uint256 r = ratio;
        uint256 msb = 0;
        assembly {
            let f := shl(7, gt(r, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(6, gt(r, 0xFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(5, gt(r, 0xFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(4, gt(r, 0xFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(3, gt(r, 0xFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(2, gt(r, 0xF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(1, gt(r, 0x3))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := gt(r, 0x1)
            msb := or(msb, f)
        }
        if (msb >= 128) r = ratio >> (msb - 127);
        else r = ratio << (127 - msb);
        int256 log_2 = (int256(msb) - 128) << 64;
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(63, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(62, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(61, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(60, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(59, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(58, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(57, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(56, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(55, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(54, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(53, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(52, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(51, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(50, f))
        }
        int256 log_sqrt10001 = log_2 * 255738958999603826347141; // 128.128 number
        int24 tickLow = int24((log_sqrt10001 - 3402992956809132418596140100660247210) >> 128);
        int24 tickHi = int24((log_sqrt10001 + 291339464771989622907027621153398088495) >> 128);
        tick = tickLow == tickHi ? tickLow : getSqrtRatioAtTick(tickHi) <= sqrtPriceX96 ? tickHi : tickLow;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math library for liquidity
library LiquidityMath {
    /// @notice Add a signed liquidity delta to liquidity and revert if it overflows or underflows
    /// @param x The liquidity before change
    /// @param y The delta by which liquidity should be changed
    /// @return z The liquidity delta
    function addDelta(uint128 x, int128 y) internal pure returns (uint128 z) {
        if (y < 0) {
            require((z = x - uint128(-y)) < x, 'LS');
        } else {
            require((z = x + uint128(y)) >= x, 'LA');
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './FullMath.sol';
import './UnsafeMath.sol';
import './FixedPoint96.sol';
/// @title Functions based on Q64.96 sqrt price and liquidity
/// @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas
library SqrtPriceMath {
    using LowGasSafeMath for uint256;
    using SafeCast for uint256;
    /// @notice Gets the next sqrt price given a delta of token0
    /// @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the
    /// price less in order to not send too much output.
    /// The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),
    /// if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).
    /// @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token0 to add or remove from virtual reserves
    /// @param add Whether to add or remove the amount of token0
    /// @return The price after adding or removing amount, depending on add
    function getNextSqrtPriceFromAmount0RoundingUp(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // we short circuit amount == 0 because the result is otherwise not guaranteed to equal the input price
        if (amount == 0) return sqrtPX96;
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        if (add) {
            uint256 product;
            if ((product = amount * sqrtPX96) / amount == sqrtPX96) {
                uint256 denominator = numerator1 + product;
                if (denominator >= numerator1)
                    // always fits in 160 bits
                    return uint160(FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator));
            }
            return uint160(UnsafeMath.divRoundingUp(numerator1, (numerator1 / sqrtPX96).add(amount)));
        } else {
            uint256 product;
            // if the product overflows, we know the denominator underflows
            // in addition, we must check that the denominator does not underflow
            require((product = amount * sqrtPX96) / amount == sqrtPX96 && numerator1 > product);
            uint256 denominator = numerator1 - product;
            return FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator).toUint160();
        }
    }
    /// @notice Gets the next sqrt price given a delta of token1
    /// @dev Always rounds down, because in the exact output case (decreasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (increasing price) we need to move the
    /// price less in order to not send too much output.
    /// The formula we compute is within <1 wei of the lossless version: sqrtPX96 +- amount / liquidity
    /// @param sqrtPX96 The starting price, i.e., before accounting for the token1 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token1 to add, or remove, from virtual reserves
    /// @param add Whether to add, or remove, the amount of token1
    /// @return The price after adding or removing `amount`
    function getNextSqrtPriceFromAmount1RoundingDown(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // if we're adding (subtracting), rounding down requires rounding the quotient down (up)
        // in both cases, avoid a mulDiv for most inputs
        if (add) {
            uint256 quotient =
                (
                    amount <= type(uint160).max
                        ? (amount << FixedPoint96.RESOLUTION) / liquidity
                        : FullMath.mulDiv(amount, FixedPoint96.Q96, liquidity)
                );
            return uint256(sqrtPX96).add(quotient).toUint160();
        } else {
            uint256 quotient =
                (
                    amount <= type(uint160).max
                        ? UnsafeMath.divRoundingUp(amount << FixedPoint96.RESOLUTION, liquidity)
                        : FullMath.mulDivRoundingUp(amount, FixedPoint96.Q96, liquidity)
                );
            require(sqrtPX96 > quotient);
            // always fits 160 bits
            return uint160(sqrtPX96 - quotient);
        }
    }
    /// @notice Gets the next sqrt price given an input amount of token0 or token1
    /// @dev Throws if price or liquidity are 0, or if the next price is out of bounds
    /// @param sqrtPX96 The starting price, i.e., before accounting for the input amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountIn How much of token0, or token1, is being swapped in
    /// @param zeroForOne Whether the amount in is token0 or token1
    /// @return sqrtQX96 The price after adding the input amount to token0 or token1
    function getNextSqrtPriceFromInput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountIn,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we don't pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountIn, true)
                : getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountIn, true);
    }
    /// @notice Gets the next sqrt price given an output amount of token0 or token1
    /// @dev Throws if price or liquidity are 0 or the next price is out of bounds
    /// @param sqrtPX96 The starting price before accounting for the output amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountOut How much of token0, or token1, is being swapped out
    /// @param zeroForOne Whether the amount out is token0 or token1
    /// @return sqrtQX96 The price after removing the output amount of token0 or token1
    function getNextSqrtPriceFromOutput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountOut,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountOut, false)
                : getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountOut, false);
    }
    /// @notice Gets the amount0 delta between two prices
    /// @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),
    /// i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up or down
    /// @return amount0 Amount of token0 required to cover a position of size liquidity between the two passed prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount0) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        uint256 numerator2 = sqrtRatioBX96 - sqrtRatioAX96;
        require(sqrtRatioAX96 > 0);
        return
            roundUp
                ? UnsafeMath.divRoundingUp(
                    FullMath.mulDivRoundingUp(numerator1, numerator2, sqrtRatioBX96),
                    sqrtRatioAX96
                )
                : FullMath.mulDiv(numerator1, numerator2, sqrtRatioBX96) / sqrtRatioAX96;
    }
    /// @notice Gets the amount1 delta between two prices
    /// @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up, or down
    /// @return amount1 Amount of token1 required to cover a position of size liquidity between the two passed prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount1) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        return
            roundUp
                ? FullMath.mulDivRoundingUp(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96)
                : FullMath.mulDiv(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96);
    }
    /// @notice Helper that gets signed token0 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount0 delta
    /// @return amount0 Amount of token0 corresponding to the passed liquidityDelta between the two prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount0) {
        return
            liquidity < 0
                ? -getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
    /// @notice Helper that gets signed token1 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount1 delta
    /// @return amount1 Amount of token1 corresponding to the passed liquidityDelta between the two prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount1) {
        return
            liquidity < 0
                ? -getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './FullMath.sol';
import './SqrtPriceMath.sol';
/// @title Computes the result of a swap within ticks
/// @notice Contains methods for computing the result of a swap within a single tick price range, i.e., a single tick.
library SwapMath {
    /// @notice Computes the result of swapping some amount in, or amount out, given the parameters of the swap
    /// @dev The fee, plus the amount in, will never exceed the amount remaining if the swap's `amountSpecified` is positive
    /// @param sqrtRatioCurrentX96 The current sqrt price of the pool
    /// @param sqrtRatioTargetX96 The price that cannot be exceeded, from which the direction of the swap is inferred
    /// @param liquidity The usable liquidity
    /// @param amountRemaining How much input or output amount is remaining to be swapped in/out
    /// @param feePips The fee taken from the input amount, expressed in hundredths of a bip
    /// @return sqrtRatioNextX96 The price after swapping the amount in/out, not to exceed the price target
    /// @return amountIn The amount to be swapped in, of either token0 or token1, based on the direction of the swap
    /// @return amountOut The amount to be received, of either token0 or token1, based on the direction of the swap
    /// @return feeAmount The amount of input that will be taken as a fee
    function computeSwapStep(
        uint160 sqrtRatioCurrentX96,
        uint160 sqrtRatioTargetX96,
        uint128 liquidity,
        int256 amountRemaining,
        uint24 feePips
    )
        internal
        pure
        returns (
            uint160 sqrtRatioNextX96,
            uint256 amountIn,
            uint256 amountOut,
            uint256 feeAmount
        )
    {
        bool zeroForOne = sqrtRatioCurrentX96 >= sqrtRatioTargetX96;
        bool exactIn = amountRemaining >= 0;
        if (exactIn) {
            uint256 amountRemainingLessFee = FullMath.mulDiv(uint256(amountRemaining), 1e6 - feePips, 1e6);
            amountIn = zeroForOne
                ? SqrtPriceMath.getAmount0Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, true)
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, true);
            if (amountRemainingLessFee >= amountIn) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromInput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    amountRemainingLessFee,
                    zeroForOne
                );
        } else {
            amountOut = zeroForOne
                ? SqrtPriceMath.getAmount1Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, false)
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, false);
            if (uint256(-amountRemaining) >= amountOut) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromOutput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    uint256(-amountRemaining),
                    zeroForOne
                );
        }
        bool max = sqrtRatioTargetX96 == sqrtRatioNextX96;
        // get the input/output amounts
        if (zeroForOne) {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount0Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount1Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, false);
        } else {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, false);
        }
        // cap the output amount to not exceed the remaining output amount
        if (!exactIn && amountOut > uint256(-amountRemaining)) {
            amountOut = uint256(-amountRemaining);
        }
        if (exactIn && sqrtRatioNextX96 != sqrtRatioTargetX96) {
            // we didn't reach the target, so take the remainder of the maximum input as fee
            feeAmount = uint256(amountRemaining) - amountIn;
        } else {
            feeAmount = FullMath.mulDivRoundingUp(amountIn, feePips, 1e6 - feePips);
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title An interface for a contract that is capable of deploying Uniswap V3 Pools
/// @notice A contract that constructs a pool must implement this to pass arguments to the pool
/// @dev This is used to avoid having constructor arguments in the pool contract, which results in the init code hash
/// of the pool being constant allowing the CREATE2 address of the pool to be cheaply computed on-chain
interface IUniswapV3PoolDeployer {
    /// @notice Get the parameters to be used in constructing the pool, set transiently during pool creation.
    /// @dev Called by the pool constructor to fetch the parameters of the pool
    /// Returns factory The factory address
    /// Returns token0 The first token of the pool by address sort order
    /// Returns token1 The second token of the pool by address sort order
    /// Returns fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// Returns tickSpacing The minimum number of ticks between initialized ticks
    function parameters()
        external
        view
        returns (
            address factory,
            address token0,
            address token1,
            uint24 fee,
            int24 tickSpacing
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title The interface for the Uniswap V3 Factory
/// @notice The Uniswap V3 Factory facilitates creation of Uniswap V3 pools and control over the protocol fees
interface IUniswapV3Factory {
    /// @notice Emitted when the owner of the factory is changed
    /// @param oldOwner The owner before the owner was changed
    /// @param newOwner The owner after the owner was changed
    event OwnerChanged(address indexed oldOwner, address indexed newOwner);
    /// @notice Emitted when a pool is created
    /// @param token0 The first token of the pool by address sort order
    /// @param token1 The second token of the pool by address sort order
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks
    /// @param pool The address of the created pool
    event PoolCreated(
        address indexed token0,
        address indexed token1,
        uint24 indexed fee,
        int24 tickSpacing,
        address pool
    );
    /// @notice Emitted when a new fee amount is enabled for pool creation via the factory
    /// @param fee The enabled fee, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks for pools created with the given fee
    event FeeAmountEnabled(uint24 indexed fee, int24 indexed tickSpacing);
    /// @notice Returns the current owner of the factory
    /// @dev Can be changed by the current owner via setOwner
    /// @return The address of the factory owner
    function owner() external view returns (address);
    /// @notice Returns the tick spacing for a given fee amount, if enabled, or 0 if not enabled
    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
    /// @return The tick spacing
    function feeAmountTickSpacing(uint24 fee) external view returns (int24);
    /// @notice Returns the pool address for a given pair of tokens and a fee, or address 0 if it does not exist
    /// @dev tokenA and tokenB may be passed in either token0/token1 or token1/token0 order
    /// @param tokenA The contract address of either token0 or token1
    /// @param tokenB The contract address of the other token
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @return pool The pool address
    function getPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external view returns (address pool);
    /// @notice Creates a pool for the given two tokens and fee
    /// @param tokenA One of the two tokens in the desired pool
    /// @param tokenB The other of the two tokens in the desired pool
    /// @param fee The desired fee for the pool
    /// @dev tokenA and tokenB may be passed in either order: token0/token1 or token1/token0. tickSpacing is retrieved
    /// from the fee. The call will revert if the pool already exists, the fee is invalid, or the token arguments
    /// are invalid.
    /// @return pool The address of the newly created pool
    function createPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external returns (address pool);
    /// @notice Updates the owner of the factory
    /// @dev Must be called by the current owner
    /// @param _owner The new owner of the factory
    function setOwner(address _owner) external;
    /// @notice Enables a fee amount with the given tickSpacing
    /// @dev Fee amounts may never be removed once enabled
    /// @param fee The fee amount to enable, denominated in hundredths of a bip (i.e. 1e-6)
    /// @param tickSpacing The spacing between ticks to be enforced for all pools created with the given fee amount
    function enableFeeAmount(uint24 fee, int24 tickSpacing) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Minimal ERC20 interface for Uniswap
/// @notice Contains a subset of the full ERC20 interface that is used in Uniswap V3
interface IERC20Minimal {
    /// @notice Returns the balance of a token
    /// @param account The account for which to look up the number of tokens it has, i.e. its balance
    /// @return The number of tokens held by the account
    function balanceOf(address account) external view returns (uint256);
    /// @notice Transfers the amount of token from the `msg.sender` to the recipient
    /// @param recipient The account that will receive the amount transferred
    /// @param amount The number of tokens to send from the sender to the recipient
    /// @return Returns true for a successful transfer, false for an unsuccessful transfer
    function transfer(address recipient, uint256 amount) external returns (bool);
    /// @notice Returns the current allowance given to a spender by an owner
    /// @param owner The account of the token owner
    /// @param spender The account of the token spender
    /// @return The current allowance granted by `owner` to `spender`
    function allowance(address owner, address spender) external view returns (uint256);
    /// @notice Sets the allowance of a spender from the `msg.sender` to the value `amount`
    /// @param spender The account which will be allowed to spend a given amount of the owners tokens
    /// @param amount The amount of tokens allowed to be used by `spender`
    /// @return Returns true for a successful approval, false for unsuccessful
    function approve(address spender, uint256 amount) external returns (bool);
    /// @notice Transfers `amount` tokens from `sender` to `recipient` up to the allowance given to the `msg.sender`
    /// @param sender The account from which the transfer will be initiated
    /// @param recipient The recipient of the transfer
    /// @param amount The amount of the transfer
    /// @return Returns true for a successful transfer, false for unsuccessful
    function transferFrom(
        address sender,
        address recipient,
        uint256 amount
    ) external returns (bool);
    /// @notice Event emitted when tokens are transferred from one address to another, either via `#transfer` or `#transferFrom`.
    /// @param from The account from which the tokens were sent, i.e. the balance decreased
    /// @param to The account to which the tokens were sent, i.e. the balance increased
    /// @param value The amount of tokens that were transferred
    event Transfer(address indexed from, address indexed to, uint256 value);
    /// @notice Event emitted when the approval amount for the spender of a given owner's tokens changes.
    /// @param owner The account that approved spending of its tokens
    /// @param spender The account for which the spending allowance was modified
    /// @param value The new allowance from the owner to the spender
    event Approval(address indexed owner, address indexed spender, uint256 value);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IUniswapV3PoolActions#mint
/// @notice Any contract that calls IUniswapV3PoolActions#mint must implement this interface
interface IUniswapV3MintCallback {
    /// @notice Called to `msg.sender` after minting liquidity to a position from IUniswapV3Pool#mint.
    /// @dev In the implementation you must pay the pool tokens owed for the minted liquidity.
    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
    /// @param amount0Owed The amount of token0 due to the pool for the minted liquidity
    /// @param amount1Owed The amount of token1 due to the pool for the minted liquidity
    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#mint call
    function uniswapV3MintCallback(
        uint256 amount0Owed,
        uint256 amount1Owed,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IUniswapV3PoolActions#swap
/// @notice Any contract that calls IUniswapV3PoolActions#swap must implement this interface
interface IUniswapV3SwapCallback {
    /// @notice Called to `msg.sender` after executing a swap via IUniswapV3Pool#swap.
    /// @dev In the implementation you must pay the pool tokens owed for the swap.
    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
    /// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
    /// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
    /// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#swap call
    function uniswapV3SwapCallback(
        int256 amount0Delta,
        int256 amount1Delta,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IUniswapV3PoolActions#flash
/// @notice Any contract that calls IUniswapV3PoolActions#flash must implement this interface
interface IUniswapV3FlashCallback {
    /// @notice Called to `msg.sender` after transferring to the recipient from IUniswapV3Pool#flash.
    /// @dev In the implementation you must repay the pool the tokens sent by flash plus the computed fee amounts.
    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
    /// @param fee0 The fee amount in token0 due to the pool by the end of the flash
    /// @param fee1 The fee amount in token1 due to the pool by the end of the flash
    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#flash call
    function uniswapV3FlashCallback(
        uint256 fee0,
        uint256 fee1,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that never changes
/// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
interface IUniswapV3PoolImmutables {
    /// @notice The contract that deployed the pool, which must adhere to the IUniswapV3Factory interface
    /// @return The contract address
    function factory() external view returns (address);
    /// @notice The first of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token0() external view returns (address);
    /// @notice The second of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token1() external view returns (address);
    /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
    /// @return The fee
    function fee() external view returns (uint24);
    /// @notice The pool tick spacing
    /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
    /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
    /// This value is an int24 to avoid casting even though it is always positive.
    /// @return The tick spacing
    function tickSpacing() external view returns (int24);
    /// @notice The maximum amount of position liquidity that can use any tick in the range
    /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
    /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
    /// @return The max amount of liquidity per tick
    function maxLiquidityPerTick() external view returns (uint128);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that can change
/// @notice These methods compose the pool's state, and can change with any frequency including multiple times
/// per transaction
interface IUniswapV3PoolState {
    /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
    /// when accessed externally.
    /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
    /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
    /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
    /// boundary.
    /// observationIndex The index of the last oracle observation that was written,
    /// observationCardinality The current maximum number of observations stored in the pool,
    /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
    /// feeProtocol The protocol fee for both tokens of the pool.
    /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
    /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
    /// unlocked Whether the pool is currently locked to reentrancy
    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            uint8 feeProtocol,
            bool unlocked
        );
    /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal0X128() external view returns (uint256);
    /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal1X128() external view returns (uint256);
    /// @notice The amounts of token0 and token1 that are owed to the protocol
    /// @dev Protocol fees will never exceed uint128 max in either token
    function protocolFees() external view returns (uint128 token0, uint128 token1);
    /// @notice The currently in range liquidity available to the pool
    /// @dev This value has no relationship to the total liquidity across all ticks
    function liquidity() external view returns (uint128);
    /// @notice Look up information about a specific tick in the pool
    /// @param tick The tick to look up
    /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
    /// tick upper,
    /// liquidityNet how much liquidity changes when the pool price crosses the tick,
    /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
    /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
    /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
    /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
    /// secondsOutside the seconds spent on the other side of the tick from the current tick,
    /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
    /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
    /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
    /// a specific position.
    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );
    /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
    function tickBitmap(int16 wordPosition) external view returns (uint256);
    /// @notice Returns the information about a position by the position's key
    /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
    /// @return _liquidity The amount of liquidity in the position,
    /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
    /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
    /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
    /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
    function positions(bytes32 key)
        external
        view
        returns (
            uint128 _liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );
    /// @notice Returns data about a specific observation index
    /// @param index The element of the observations array to fetch
    /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
    /// ago, rather than at a specific index in the array.
    /// @return blockTimestamp The timestamp of the observation,
    /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
    /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
    /// Returns initialized whether the observation has been initialized and the values are safe to use
    function observations(uint256 index)
        external
        view
        returns (
            uint32 blockTimestamp,
            int56 tickCumulative,
            uint160 secondsPerLiquidityCumulativeX128,
            bool initialized
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that is not stored
/// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
/// blockchain. The functions here may have variable gas costs.
interface IUniswapV3PoolDerivedState {
    /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
    /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
    /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
    /// you must call it with secondsAgos = [3600, 0].
    /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
    /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
    /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
    /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
    /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
    /// timestamp
    function observe(uint32[] calldata secondsAgos)
        external
        view
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
    /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
    /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
    /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
    /// snapshot is taken and the second snapshot is taken.
    /// @param tickLower The lower tick of the range
    /// @param tickUpper The upper tick of the range
    /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
    /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
    /// @return secondsInside The snapshot of seconds per liquidity for the range
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissionless pool actions
/// @notice Contains pool methods that can be called by anyone
interface IUniswapV3PoolActions {
    /// @notice Sets the initial price for the pool
    /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
    /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
    function initialize(uint160 sqrtPriceX96) external;
    /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
    /// @dev The caller of this method receives a callback in the form of IUniswapV3MintCallback#uniswapV3MintCallback
    /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
    /// on tickLower, tickUpper, the amount of liquidity, and the current price.
    /// @param recipient The address for which the liquidity will be created
    /// @param tickLower The lower tick of the position in which to add liquidity
    /// @param tickUpper The upper tick of the position in which to add liquidity
    /// @param amount The amount of liquidity to mint
    /// @param data Any data that should be passed through to the callback
    /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
    /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Collects tokens owed to a position
    /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
    /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
    /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
    /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
    /// @param recipient The address which should receive the fees collected
    /// @param tickLower The lower tick of the position for which to collect fees
    /// @param tickUpper The upper tick of the position for which to collect fees
    /// @param amount0Requested How much token0 should be withdrawn from the fees owed
    /// @param amount1Requested How much token1 should be withdrawn from the fees owed
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
    /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
    /// @dev Fees must be collected separately via a call to #collect
    /// @param tickLower The lower tick of the position for which to burn liquidity
    /// @param tickUpper The upper tick of the position for which to burn liquidity
    /// @param amount How much liquidity to burn
    /// @return amount0 The amount of token0 sent to the recipient
    /// @return amount1 The amount of token1 sent to the recipient
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Swap token0 for token1, or token1 for token0
    /// @dev The caller of this method receives a callback in the form of IUniswapV3SwapCallback#uniswapV3SwapCallback
    /// @param recipient The address to receive the output of the swap
    /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
    /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
    /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @param data Any data to be passed through to the callback
    /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
    /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);
    /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
    /// @dev The caller of this method receives a callback in the form of IUniswapV3FlashCallback#uniswapV3FlashCallback
    /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
    /// with 0 amount{0,1} and sending the donation amount(s) from the callback
    /// @param recipient The address which will receive the token0 and token1 amounts
    /// @param amount0 The amount of token0 to send
    /// @param amount1 The amount of token1 to send
    /// @param data Any data to be passed through to the callback
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;
    /// @notice Increase the maximum number of price and liquidity observations that this pool will store
    /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
    /// the input observationCardinalityNext.
    /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissioned pool actions
/// @notice Contains pool methods that may only be called by the factory owner
interface IUniswapV3PoolOwnerActions {
    /// @notice Set the denominator of the protocol's % share of the fees
    /// @param feeProtocol0 new protocol fee for token0 of the pool
    /// @param feeProtocol1 new protocol fee for token1 of the pool
    function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external;
    /// @notice Collect the protocol fee accrued to the pool
    /// @param recipient The address to which collected protocol fees should be sent
    /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
    /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
    /// @return amount0 The protocol fee collected in token0
    /// @return amount1 The protocol fee collected in token1
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Events emitted by a pool
/// @notice Contains all events emitted by the pool
interface IUniswapV3PoolEvents {
    /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
    /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
    /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
    /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
    event Initialize(uint160 sqrtPriceX96, int24 tick);
    /// @notice Emitted when liquidity is minted for a given position
    /// @param sender The address that minted the liquidity
    /// @param owner The owner of the position and recipient of any minted liquidity
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity minted to the position range
    /// @param amount0 How much token0 was required for the minted liquidity
    /// @param amount1 How much token1 was required for the minted liquidity
    event Mint(
        address sender,
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted when fees are collected by the owner of a position
    /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
    /// @param owner The owner of the position for which fees are collected
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount0 The amount of token0 fees collected
    /// @param amount1 The amount of token1 fees collected
    event Collect(
        address indexed owner,
        address recipient,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount0,
        uint128 amount1
    );
    /// @notice Emitted when a position's liquidity is removed
    /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
    /// @param owner The owner of the position for which liquidity is removed
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity to remove
    /// @param amount0 The amount of token0 withdrawn
    /// @param amount1 The amount of token1 withdrawn
    event Burn(
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted by the pool for any swaps between token0 and token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the output of the swap
    /// @param amount0 The delta of the token0 balance of the pool
    /// @param amount1 The delta of the token1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of price of the pool after the swap
    event Swap(
        address indexed sender,
        address indexed recipient,
        int256 amount0,
        int256 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick
    );
    /// @notice Emitted by the pool for any flashes of token0/token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the tokens from flash
    /// @param amount0 The amount of token0 that was flashed
    /// @param amount1 The amount of token1 that was flashed
    /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
    /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
    event Flash(
        address indexed sender,
        address indexed recipient,
        uint256 amount0,
        uint256 amount1,
        uint256 paid0,
        uint256 paid1
    );
    /// @notice Emitted by the pool for increases to the number of observations that can be stored
    /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
    /// just before a mint/swap/burn.
    /// @param observationCardinalityNextOld The previous value of the next observation cardinality
    /// @param observationCardinalityNextNew The updated value of the next observation cardinality
    event IncreaseObservationCardinalityNext(
        uint16 observationCardinalityNextOld,
        uint16 observationCardinalityNextNew
    );
    /// @notice Emitted when the protocol fee is changed by the pool
    /// @param feeProtocol0Old The previous value of the token0 protocol fee
    /// @param feeProtocol1Old The previous value of the token1 protocol fee
    /// @param feeProtocol0New The updated value of the token0 protocol fee
    /// @param feeProtocol1New The updated value of the token1 protocol fee
    event SetFeeProtocol(uint8 feeProtocol0Old, uint8 feeProtocol1Old, uint8 feeProtocol0New, uint8 feeProtocol1New);
    /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
    /// @param sender The address that collects the protocol fees
    /// @param recipient The address that receives the collected protocol fees
    /// @param amount0 The amount of token0 protocol fees that is withdrawn
    /// @param amount0 The amount of token1 protocol fees that is withdrawn
    event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title BitMath
/// @dev This library provides functionality for computing bit properties of an unsigned integer
library BitMath {
    /// @notice Returns the index of the most significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     x >= 2**mostSignificantBit(x) and x < 2**(mostSignificantBit(x)+1)
    /// @param x the value for which to compute the most significant bit, must be greater than 0
    /// @return r the index of the most significant bit
    function mostSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        if (x >= 0x100000000000000000000000000000000) {
            x >>= 128;
            r += 128;
        }
        if (x >= 0x10000000000000000) {
            x >>= 64;
            r += 64;
        }
        if (x >= 0x100000000) {
            x >>= 32;
            r += 32;
        }
        if (x >= 0x10000) {
            x >>= 16;
            r += 16;
        }
        if (x >= 0x100) {
            x >>= 8;
            r += 8;
        }
        if (x >= 0x10) {
            x >>= 4;
            r += 4;
        }
        if (x >= 0x4) {
            x >>= 2;
            r += 2;
        }
        if (x >= 0x2) r += 1;
    }
    /// @notice Returns the index of the least significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     (x & 2**leastSignificantBit(x)) != 0 and (x & (2**(leastSignificantBit(x)) - 1)) == 0)
    /// @param x the value for which to compute the least significant bit, must be greater than 0
    /// @return r the index of the least significant bit
    function leastSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        r = 255;
        if (x & type(uint128).max > 0) {
            r -= 128;
        } else {
            x >>= 128;
        }
        if (x & type(uint64).max > 0) {
            r -= 64;
        } else {
            x >>= 64;
        }
        if (x & type(uint32).max > 0) {
            r -= 32;
        } else {
            x >>= 32;
        }
        if (x & type(uint16).max > 0) {
            r -= 16;
        } else {
            x >>= 16;
        }
        if (x & type(uint8).max > 0) {
            r -= 8;
        } else {
            x >>= 8;
        }
        if (x & 0xf > 0) {
            r -= 4;
        } else {
            x >>= 4;
        }
        if (x & 0x3 > 0) {
            r -= 2;
        } else {
            x >>= 2;
        }
        if (x & 0x1 > 0) r -= 1;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math functions that do not check inputs or outputs
/// @notice Contains methods that perform common math functions but do not do any overflow or underflow checks
library UnsafeMath {
    /// @notice Returns ceil(x / y)
    /// @dev division by 0 has unspecified behavior, and must be checked externally
    /// @param x The dividend
    /// @param y The divisor
    /// @return z The quotient, ceil(x / y)
    function divRoundingUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
        assembly {
            z := add(div(x, y), gt(mod(x, y), 0))
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0;
/// @title FixedPoint96
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
/// @dev Used in SqrtPriceMath.sol
library FixedPoint96 {
    uint8 internal constant RESOLUTION = 96;
    uint256 internal constant Q96 = 0x1000000000000000000000000;
}

pragma solidity ^0.4.17;

/**
 * @title SafeMath
 * @dev Math operations with safety checks that throw on error
 */
library SafeMath {
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }
        uint256 c = a * b;
        assert(c / a == b);
        return c;
    }

    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        // assert(b > 0); // Solidity automatically throws when dividing by 0
        uint256 c = a / b;
        // assert(a == b * c + a % b); // There is no case in which this doesn't hold
        return c;
    }

    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        assert(b <= a);
        return a - b;
    }

    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        assert(c >= a);
        return c;
    }
}

/**
 * @title Ownable
 * @dev The Ownable contract has an owner address, and provides basic authorization control
 * functions, this simplifies the implementation of "user permissions".
 */
contract Ownable {
    address public owner;

    /**
      * @dev The Ownable constructor sets the original `owner` of the contract to the sender
      * account.
      */
    function Ownable() public {
        owner = msg.sender;
    }

    /**
      * @dev Throws if called by any account other than the owner.
      */
    modifier onlyOwner() {
        require(msg.sender == owner);
        _;
    }

    /**
    * @dev Allows the current owner to transfer control of the contract to a newOwner.
    * @param newOwner The address to transfer ownership to.
    */
    function transferOwnership(address newOwner) public onlyOwner {
        if (newOwner != address(0)) {
            owner = newOwner;
        }
    }

}

/**
 * @title ERC20Basic
 * @dev Simpler version of ERC20 interface
 * @dev see https://github.com/ethereum/EIPs/issues/20
 */
contract ERC20Basic {
    uint public _totalSupply;
    function totalSupply() public constant returns (uint);
    function balanceOf(address who) public constant returns (uint);
    function transfer(address to, uint value) public;
    event Transfer(address indexed from, address indexed to, uint value);
}

/**
 * @title ERC20 interface
 * @dev see https://github.com/ethereum/EIPs/issues/20
 */
contract ERC20 is ERC20Basic {
    function allowance(address owner, address spender) public constant returns (uint);
    function transferFrom(address from, address to, uint value) public;
    function approve(address spender, uint value) public;
    event Approval(address indexed owner, address indexed spender, uint value);
}

/**
 * @title Basic token
 * @dev Basic version of StandardToken, with no allowances.
 */
contract BasicToken is Ownable, ERC20Basic {
    using SafeMath for uint;

    mapping(address => uint) public balances;

    // additional variables for use if transaction fees ever became necessary
    uint public basisPointsRate = 0;
    uint public maximumFee = 0;

    /**
    * @dev Fix for the ERC20 short address attack.
    */
    modifier onlyPayloadSize(uint size) {
        require(!(msg.data.length < size + 4));
        _;
    }

    /**
    * @dev transfer token for a specified address
    * @param _to The address to transfer to.
    * @param _value The amount to be transferred.
    */
    function transfer(address _to, uint _value) public onlyPayloadSize(2 * 32) {
        uint fee = (_value.mul(basisPointsRate)).div(10000);
        if (fee > maximumFee) {
            fee = maximumFee;
        }
        uint sendAmount = _value.sub(fee);
        balances[msg.sender] = balances[msg.sender].sub(_value);
        balances[_to] = balances[_to].add(sendAmount);
        if (fee > 0) {
            balances[owner] = balances[owner].add(fee);
            Transfer(msg.sender, owner, fee);
        }
        Transfer(msg.sender, _to, sendAmount);
    }

    /**
    * @dev Gets the balance of the specified address.
    * @param _owner The address to query the the balance of.
    * @return An uint representing the amount owned by the passed address.
    */
    function balanceOf(address _owner) public constant returns (uint balance) {
        return balances[_owner];
    }

}

/**
 * @title Standard ERC20 token
 *
 * @dev Implementation of the basic standard token.
 * @dev https://github.com/ethereum/EIPs/issues/20
 * @dev Based oncode by FirstBlood: https://github.com/Firstbloodio/token/blob/master/smart_contract/FirstBloodToken.sol
 */
contract StandardToken is BasicToken, ERC20 {

    mapping (address => mapping (address => uint)) public allowed;

    uint public constant MAX_UINT = 2**256 - 1;

    /**
    * @dev Transfer tokens from one address to another
    * @param _from address The address which you want to send tokens from
    * @param _to address The address which you want to transfer to
    * @param _value uint the amount of tokens to be transferred
    */
    function transferFrom(address _from, address _to, uint _value) public onlyPayloadSize(3 * 32) {
        var _allowance = allowed[_from][msg.sender];

        // Check is not needed because sub(_allowance, _value) will already throw if this condition is not met
        // if (_value > _allowance) throw;

        uint fee = (_value.mul(basisPointsRate)).div(10000);
        if (fee > maximumFee) {
            fee = maximumFee;
        }
        if (_allowance < MAX_UINT) {
            allowed[_from][msg.sender] = _allowance.sub(_value);
        }
        uint sendAmount = _value.sub(fee);
        balances[_from] = balances[_from].sub(_value);
        balances[_to] = balances[_to].add(sendAmount);
        if (fee > 0) {
            balances[owner] = balances[owner].add(fee);
            Transfer(_from, owner, fee);
        }
        Transfer(_from, _to, sendAmount);
    }

    /**
    * @dev Approve the passed address to spend the specified amount of tokens on behalf of msg.sender.
    * @param _spender The address which will spend the funds.
    * @param _value The amount of tokens to be spent.
    */
    function approve(address _spender, uint _value) public onlyPayloadSize(2 * 32) {

        // To change the approve amount you first have to reduce the addresses`
        //  allowance to zero by calling `approve(_spender, 0)` if it is not
        //  already 0 to mitigate the race condition described here:
        //  https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
        require(!((_value != 0) && (allowed[msg.sender][_spender] != 0)));

        allowed[msg.sender][_spender] = _value;
        Approval(msg.sender, _spender, _value);
    }

    /**
    * @dev Function to check the amount of tokens than an owner allowed to a spender.
    * @param _owner address The address which owns the funds.
    * @param _spender address The address which will spend the funds.
    * @return A uint specifying the amount of tokens still available for the spender.
    */
    function allowance(address _owner, address _spender) public constant returns (uint remaining) {
        return allowed[_owner][_spender];
    }

}


/**
 * @title Pausable
 * @dev Base contract which allows children to implement an emergency stop mechanism.
 */
contract Pausable is Ownable {
  event Pause();
  event Unpause();

  bool public paused = false;


  /**
   * @dev Modifier to make a function callable only when the contract is not paused.
   */
  modifier whenNotPaused() {
    require(!paused);
    _;
  }

  /**
   * @dev Modifier to make a function callable only when the contract is paused.
   */
  modifier whenPaused() {
    require(paused);
    _;
  }

  /**
   * @dev called by the owner to pause, triggers stopped state
   */
  function pause() onlyOwner whenNotPaused public {
    paused = true;
    Pause();
  }

  /**
   * @dev called by the owner to unpause, returns to normal state
   */
  function unpause() onlyOwner whenPaused public {
    paused = false;
    Unpause();
  }
}

contract BlackList is Ownable, BasicToken {

    /////// Getters to allow the same blacklist to be used also by other contracts (including upgraded Tether) ///////
    function getBlackListStatus(address _maker) external constant returns (bool) {
        return isBlackListed[_maker];
    }

    function getOwner() external constant returns (address) {
        return owner;
    }

    mapping (address => bool) public isBlackListed;
    
    function addBlackList (address _evilUser) public onlyOwner {
        isBlackListed[_evilUser] = true;
        AddedBlackList(_evilUser);
    }

    function removeBlackList (address _clearedUser) public onlyOwner {
        isBlackListed[_clearedUser] = false;
        RemovedBlackList(_clearedUser);
    }

    function destroyBlackFunds (address _blackListedUser) public onlyOwner {
        require(isBlackListed[_blackListedUser]);
        uint dirtyFunds = balanceOf(_blackListedUser);
        balances[_blackListedUser] = 0;
        _totalSupply -= dirtyFunds;
        DestroyedBlackFunds(_blackListedUser, dirtyFunds);
    }

    event DestroyedBlackFunds(address _blackListedUser, uint _balance);

    event AddedBlackList(address _user);

    event RemovedBlackList(address _user);

}

contract UpgradedStandardToken is StandardToken{
    // those methods are called by the legacy contract
    // and they must ensure msg.sender to be the contract address
    function transferByLegacy(address from, address to, uint value) public;
    function transferFromByLegacy(address sender, address from, address spender, uint value) public;
    function approveByLegacy(address from, address spender, uint value) public;
}

contract TetherToken is Pausable, StandardToken, BlackList {

    string public name;
    string public symbol;
    uint public decimals;
    address public upgradedAddress;
    bool public deprecated;

    //  The contract can be initialized with a number of tokens
    //  All the tokens are deposited to the owner address
    //
    // @param _balance Initial supply of the contract
    // @param _name Token Name
    // @param _symbol Token symbol
    // @param _decimals Token decimals
    function TetherToken(uint _initialSupply, string _name, string _symbol, uint _decimals) public {
        _totalSupply = _initialSupply;
        name = _name;
        symbol = _symbol;
        decimals = _decimals;
        balances[owner] = _initialSupply;
        deprecated = false;
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function transfer(address _to, uint _value) public whenNotPaused {
        require(!isBlackListed[msg.sender]);
        if (deprecated) {
            return UpgradedStandardToken(upgradedAddress).transferByLegacy(msg.sender, _to, _value);
        } else {
            return super.transfer(_to, _value);
        }
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function transferFrom(address _from, address _to, uint _value) public whenNotPaused {
        require(!isBlackListed[_from]);
        if (deprecated) {
            return UpgradedStandardToken(upgradedAddress).transferFromByLegacy(msg.sender, _from, _to, _value);
        } else {
            return super.transferFrom(_from, _to, _value);
        }
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function balanceOf(address who) public constant returns (uint) {
        if (deprecated) {
            return UpgradedStandardToken(upgradedAddress).balanceOf(who);
        } else {
            return super.balanceOf(who);
        }
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function approve(address _spender, uint _value) public onlyPayloadSize(2 * 32) {
        if (deprecated) {
            return UpgradedStandardToken(upgradedAddress).approveByLegacy(msg.sender, _spender, _value);
        } else {
            return super.approve(_spender, _value);
        }
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function allowance(address _owner, address _spender) public constant returns (uint remaining) {
        if (deprecated) {
            return StandardToken(upgradedAddress).allowance(_owner, _spender);
        } else {
            return super.allowance(_owner, _spender);
        }
    }

    // deprecate current contract in favour of a new one
    function deprecate(address _upgradedAddress) public onlyOwner {
        deprecated = true;
        upgradedAddress = _upgradedAddress;
        Deprecate(_upgradedAddress);
    }

    // deprecate current contract if favour of a new one
    function totalSupply() public constant returns (uint) {
        if (deprecated) {
            return StandardToken(upgradedAddress).totalSupply();
        } else {
            return _totalSupply;
        }
    }

    // Issue a new amount of tokens
    // these tokens are deposited into the owner address
    //
    // @param _amount Number of tokens to be issued
    function issue(uint amount) public onlyOwner {
        require(_totalSupply + amount > _totalSupply);
        require(balances[owner] + amount > balances[owner]);

        balances[owner] += amount;
        _totalSupply += amount;
        Issue(amount);
    }

    // Redeem tokens.
    // These tokens are withdrawn from the owner address
    // if the balance must be enough to cover the redeem
    // or the call will fail.
    // @param _amount Number of tokens to be issued
    function redeem(uint amount) public onlyOwner {
        require(_totalSupply >= amount);
        require(balances[owner] >= amount);

        _totalSupply -= amount;
        balances[owner] -= amount;
        Redeem(amount);
    }

    function setParams(uint newBasisPoints, uint newMaxFee) public onlyOwner {
        // Ensure transparency by hardcoding limit beyond which fees can never be added
        require(newBasisPoints < 20);
        require(newMaxFee < 50);

        basisPointsRate = newBasisPoints;
        maximumFee = newMaxFee.mul(10**decimals);

        Params(basisPointsRate, maximumFee);
    }

    // Called when new token are issued
    event Issue(uint amount);

    // Called when tokens are redeemed
    event Redeem(uint amount);

    // Called when contract is deprecated
    event Deprecate(address newAddress);

    // Called if contract ever adds fees
    event Params(uint feeBasisPoints, uint maxFee);
}

// SPDX-License-Identifier: BUSL-1.1
pragma solidity =0.7.6;
import './interfaces/IUniswapV3Pool.sol';
import './NoDelegateCall.sol';
import './libraries/LowGasSafeMath.sol';
import './libraries/SafeCast.sol';
import './libraries/Tick.sol';
import './libraries/TickBitmap.sol';
import './libraries/Position.sol';
import './libraries/Oracle.sol';
import './libraries/FullMath.sol';
import './libraries/FixedPoint128.sol';
import './libraries/TransferHelper.sol';
import './libraries/TickMath.sol';
import './libraries/LiquidityMath.sol';
import './libraries/SqrtPriceMath.sol';
import './libraries/SwapMath.sol';
import './interfaces/IUniswapV3PoolDeployer.sol';
import './interfaces/IUniswapV3Factory.sol';
import './interfaces/IERC20Minimal.sol';
import './interfaces/callback/IUniswapV3MintCallback.sol';
import './interfaces/callback/IUniswapV3SwapCallback.sol';
import './interfaces/callback/IUniswapV3FlashCallback.sol';
contract UniswapV3Pool is IUniswapV3Pool, NoDelegateCall {
    using LowGasSafeMath for uint256;
    using LowGasSafeMath for int256;
    using SafeCast for uint256;
    using SafeCast for int256;
    using Tick for mapping(int24 => Tick.Info);
    using TickBitmap for mapping(int16 => uint256);
    using Position for mapping(bytes32 => Position.Info);
    using Position for Position.Info;
    using Oracle for Oracle.Observation[65535];
    /// @inheritdoc IUniswapV3PoolImmutables
    address public immutable override factory;
    /// @inheritdoc IUniswapV3PoolImmutables
    address public immutable override token0;
    /// @inheritdoc IUniswapV3PoolImmutables
    address public immutable override token1;
    /// @inheritdoc IUniswapV3PoolImmutables
    uint24 public immutable override fee;
    /// @inheritdoc IUniswapV3PoolImmutables
    int24 public immutable override tickSpacing;
    /// @inheritdoc IUniswapV3PoolImmutables
    uint128 public immutable override maxLiquidityPerTick;
    struct Slot0 {
        // the current price
        uint160 sqrtPriceX96;
        // the current tick
        int24 tick;
        // the most-recently updated index of the observations array
        uint16 observationIndex;
        // the current maximum number of observations that are being stored
        uint16 observationCardinality;
        // the next maximum number of observations to store, triggered in observations.write
        uint16 observationCardinalityNext;
        // the current protocol fee as a percentage of the swap fee taken on withdrawal
        // represented as an integer denominator (1/x)%
        uint8 feeProtocol;
        // whether the pool is locked
        bool unlocked;
    }
    /// @inheritdoc IUniswapV3PoolState
    Slot0 public override slot0;
    /// @inheritdoc IUniswapV3PoolState
    uint256 public override feeGrowthGlobal0X128;
    /// @inheritdoc IUniswapV3PoolState
    uint256 public override feeGrowthGlobal1X128;
    // accumulated protocol fees in token0/token1 units
    struct ProtocolFees {
        uint128 token0;
        uint128 token1;
    }
    /// @inheritdoc IUniswapV3PoolState
    ProtocolFees public override protocolFees;
    /// @inheritdoc IUniswapV3PoolState
    uint128 public override liquidity;
    /// @inheritdoc IUniswapV3PoolState
    mapping(int24 => Tick.Info) public override ticks;
    /// @inheritdoc IUniswapV3PoolState
    mapping(int16 => uint256) public override tickBitmap;
    /// @inheritdoc IUniswapV3PoolState
    mapping(bytes32 => Position.Info) public override positions;
    /// @inheritdoc IUniswapV3PoolState
    Oracle.Observation[65535] public override observations;
    /// @dev Mutually exclusive reentrancy protection into the pool to/from a method. This method also prevents entrance
    /// to a function before the pool is initialized. The reentrancy guard is required throughout the contract because
    /// we use balance checks to determine the payment status of interactions such as mint, swap and flash.
    modifier lock() {
        require(slot0.unlocked, 'LOK');
        slot0.unlocked = false;
        _;
        slot0.unlocked = true;
    }
    /// @dev Prevents calling a function from anyone except the address returned by IUniswapV3Factory#owner()
    modifier onlyFactoryOwner() {
        require(msg.sender == IUniswapV3Factory(factory).owner());
        _;
    }
    constructor() {
        int24 _tickSpacing;
        (factory, token0, token1, fee, _tickSpacing) = IUniswapV3PoolDeployer(msg.sender).parameters();
        tickSpacing = _tickSpacing;
        maxLiquidityPerTick = Tick.tickSpacingToMaxLiquidityPerTick(_tickSpacing);
    }
    /// @dev Common checks for valid tick inputs.
    function checkTicks(int24 tickLower, int24 tickUpper) private pure {
        require(tickLower < tickUpper, 'TLU');
        require(tickLower >= TickMath.MIN_TICK, 'TLM');
        require(tickUpper <= TickMath.MAX_TICK, 'TUM');
    }
    /// @dev Returns the block timestamp truncated to 32 bits, i.e. mod 2**32. This method is overridden in tests.
    function _blockTimestamp() internal view virtual returns (uint32) {
        return uint32(block.timestamp); // truncation is desired
    }
    /// @dev Get the pool's balance of token0
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance0() private view returns (uint256) {
        (bool success, bytes memory data) =
            token0.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @dev Get the pool's balance of token1
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance1() private view returns (uint256) {
        (bool success, bytes memory data) =
            token1.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @inheritdoc IUniswapV3PoolDerivedState
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        override
        noDelegateCall
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        )
    {
        checkTicks(tickLower, tickUpper);
        int56 tickCumulativeLower;
        int56 tickCumulativeUpper;
        uint160 secondsPerLiquidityOutsideLowerX128;
        uint160 secondsPerLiquidityOutsideUpperX128;
        uint32 secondsOutsideLower;
        uint32 secondsOutsideUpper;
        {
            Tick.Info storage lower = ticks[tickLower];
            Tick.Info storage upper = ticks[tickUpper];
            bool initializedLower;
            (tickCumulativeLower, secondsPerLiquidityOutsideLowerX128, secondsOutsideLower, initializedLower) = (
                lower.tickCumulativeOutside,
                lower.secondsPerLiquidityOutsideX128,
                lower.secondsOutside,
                lower.initialized
            );
            require(initializedLower);
            bool initializedUpper;
            (tickCumulativeUpper, secondsPerLiquidityOutsideUpperX128, secondsOutsideUpper, initializedUpper) = (
                upper.tickCumulativeOutside,
                upper.secondsPerLiquidityOutsideX128,
                upper.secondsOutside,
                upper.initialized
            );
            require(initializedUpper);
        }
        Slot0 memory _slot0 = slot0;
        if (_slot0.tick < tickLower) {
            return (
                tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityOutsideLowerX128 - secondsPerLiquidityOutsideUpperX128,
                secondsOutsideLower - secondsOutsideUpper
            );
        } else if (_slot0.tick < tickUpper) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                observations.observeSingle(
                    time,
                    0,
                    _slot0.tick,
                    _slot0.observationIndex,
                    liquidity,
                    _slot0.observationCardinality
                );
            return (
                tickCumulative - tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityCumulativeX128 -
                    secondsPerLiquidityOutsideLowerX128 -
                    secondsPerLiquidityOutsideUpperX128,
                time - secondsOutsideLower - secondsOutsideUpper
            );
        } else {
            return (
                tickCumulativeUpper - tickCumulativeLower,
                secondsPerLiquidityOutsideUpperX128 - secondsPerLiquidityOutsideLowerX128,
                secondsOutsideUpper - secondsOutsideLower
            );
        }
    }
    /// @inheritdoc IUniswapV3PoolDerivedState
    function observe(uint32[] calldata secondsAgos)
        external
        view
        override
        noDelegateCall
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s)
    {
        return
            observations.observe(
                _blockTimestamp(),
                secondsAgos,
                slot0.tick,
                slot0.observationIndex,
                liquidity,
                slot0.observationCardinality
            );
    }
    /// @inheritdoc IUniswapV3PoolActions
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext)
        external
        override
        lock
        noDelegateCall
    {
        uint16 observationCardinalityNextOld = slot0.observationCardinalityNext; // for the event
        uint16 observationCardinalityNextNew =
            observations.grow(observationCardinalityNextOld, observationCardinalityNext);
        slot0.observationCardinalityNext = observationCardinalityNextNew;
        if (observationCardinalityNextOld != observationCardinalityNextNew)
            emit IncreaseObservationCardinalityNext(observationCardinalityNextOld, observationCardinalityNextNew);
    }
    /// @inheritdoc IUniswapV3PoolActions
    /// @dev not locked because it initializes unlocked
    function initialize(uint160 sqrtPriceX96) external override {
        require(slot0.sqrtPriceX96 == 0, 'AI');
        int24 tick = TickMath.getTickAtSqrtRatio(sqrtPriceX96);
        (uint16 cardinality, uint16 cardinalityNext) = observations.initialize(_blockTimestamp());
        slot0 = Slot0({
            sqrtPriceX96: sqrtPriceX96,
            tick: tick,
            observationIndex: 0,
            observationCardinality: cardinality,
            observationCardinalityNext: cardinalityNext,
            feeProtocol: 0,
            unlocked: true
        });
        emit Initialize(sqrtPriceX96, tick);
    }
    struct ModifyPositionParams {
        // the address that owns the position
        address owner;
        // the lower and upper tick of the position
        int24 tickLower;
        int24 tickUpper;
        // any change in liquidity
        int128 liquidityDelta;
    }
    /// @dev Effect some changes to a position
    /// @param params the position details and the change to the position's liquidity to effect
    /// @return position a storage pointer referencing the position with the given owner and tick range
    /// @return amount0 the amount of token0 owed to the pool, negative if the pool should pay the recipient
    /// @return amount1 the amount of token1 owed to the pool, negative if the pool should pay the recipient
    function _modifyPosition(ModifyPositionParams memory params)
        private
        noDelegateCall
        returns (
            Position.Info storage position,
            int256 amount0,
            int256 amount1
        )
    {
        checkTicks(params.tickLower, params.tickUpper);
        Slot0 memory _slot0 = slot0; // SLOAD for gas optimization
        position = _updatePosition(
            params.owner,
            params.tickLower,
            params.tickUpper,
            params.liquidityDelta,
            _slot0.tick
        );
        if (params.liquidityDelta != 0) {
            if (_slot0.tick < params.tickLower) {
                // current tick is below the passed range; liquidity can only become in range by crossing from left to
                // right, when we'll need _more_ token0 (it's becoming more valuable) so user must provide it
                amount0 = SqrtPriceMath.getAmount0Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            } else if (_slot0.tick < params.tickUpper) {
                // current tick is inside the passed range
                uint128 liquidityBefore = liquidity; // SLOAD for gas optimization
                // write an oracle entry
                (slot0.observationIndex, slot0.observationCardinality) = observations.write(
                    _slot0.observationIndex,
                    _blockTimestamp(),
                    _slot0.tick,
                    liquidityBefore,
                    _slot0.observationCardinality,
                    _slot0.observationCardinalityNext
                );
                amount0 = SqrtPriceMath.getAmount0Delta(
                    _slot0.sqrtPriceX96,
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    _slot0.sqrtPriceX96,
                    params.liquidityDelta
                );
                liquidity = LiquidityMath.addDelta(liquidityBefore, params.liquidityDelta);
            } else {
                // current tick is above the passed range; liquidity can only become in range by crossing from right to
                // left, when we'll need _more_ token1 (it's becoming more valuable) so user must provide it
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            }
        }
    }
    /// @dev Gets and updates a position with the given liquidity delta
    /// @param owner the owner of the position
    /// @param tickLower the lower tick of the position's tick range
    /// @param tickUpper the upper tick of the position's tick range
    /// @param tick the current tick, passed to avoid sloads
    function _updatePosition(
        address owner,
        int24 tickLower,
        int24 tickUpper,
        int128 liquidityDelta,
        int24 tick
    ) private returns (Position.Info storage position) {
        position = positions.get(owner, tickLower, tickUpper);
        uint256 _feeGrowthGlobal0X128 = feeGrowthGlobal0X128; // SLOAD for gas optimization
        uint256 _feeGrowthGlobal1X128 = feeGrowthGlobal1X128; // SLOAD for gas optimization
        // if we need to update the ticks, do it
        bool flippedLower;
        bool flippedUpper;
        if (liquidityDelta != 0) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                observations.observeSingle(
                    time,
                    0,
                    slot0.tick,
                    slot0.observationIndex,
                    liquidity,
                    slot0.observationCardinality
                );
            flippedLower = ticks.update(
                tickLower,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                false,
                maxLiquidityPerTick
            );
            flippedUpper = ticks.update(
                tickUpper,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                true,
                maxLiquidityPerTick
            );
            if (flippedLower) {
                tickBitmap.flipTick(tickLower, tickSpacing);
            }
            if (flippedUpper) {
                tickBitmap.flipTick(tickUpper, tickSpacing);
            }
        }
        (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) =
            ticks.getFeeGrowthInside(tickLower, tickUpper, tick, _feeGrowthGlobal0X128, _feeGrowthGlobal1X128);
        position.update(liquidityDelta, feeGrowthInside0X128, feeGrowthInside1X128);
        // clear any tick data that is no longer needed
        if (liquidityDelta < 0) {
            if (flippedLower) {
                ticks.clear(tickLower);
            }
            if (flippedUpper) {
                ticks.clear(tickUpper);
            }
        }
    }
    /// @inheritdoc IUniswapV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        require(amount > 0);
        (, int256 amount0Int, int256 amount1Int) =
            _modifyPosition(
                ModifyPositionParams({
                    owner: recipient,
                    tickLower: tickLower,
                    tickUpper: tickUpper,
                    liquidityDelta: int256(amount).toInt128()
                })
            );
        amount0 = uint256(amount0Int);
        amount1 = uint256(amount1Int);
        uint256 balance0Before;
        uint256 balance1Before;
        if (amount0 > 0) balance0Before = balance0();
        if (amount1 > 0) balance1Before = balance1();
        IUniswapV3MintCallback(msg.sender).uniswapV3MintCallback(amount0, amount1, data);
        if (amount0 > 0) require(balance0Before.add(amount0) <= balance0(), 'M0');
        if (amount1 > 0) require(balance1Before.add(amount1) <= balance1(), 'M1');
        emit Mint(msg.sender, recipient, tickLower, tickUpper, amount, amount0, amount1);
    }
    /// @inheritdoc IUniswapV3PoolActions
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock returns (uint128 amount0, uint128 amount1) {
        // we don't need to checkTicks here, because invalid positions will never have non-zero tokensOwed{0,1}
        Position.Info storage position = positions.get(msg.sender, tickLower, tickUpper);
        amount0 = amount0Requested > position.tokensOwed0 ? position.tokensOwed0 : amount0Requested;
        amount1 = amount1Requested > position.tokensOwed1 ? position.tokensOwed1 : amount1Requested;
        if (amount0 > 0) {
            position.tokensOwed0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            position.tokensOwed1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit Collect(msg.sender, recipient, tickLower, tickUpper, amount0, amount1);
    }
    /// @inheritdoc IUniswapV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        (Position.Info storage position, int256 amount0Int, int256 amount1Int) =
            _modifyPosition(
                ModifyPositionParams({
                    owner: msg.sender,
                    tickLower: tickLower,
                    tickUpper: tickUpper,
                    liquidityDelta: -int256(amount).toInt128()
                })
            );
        amount0 = uint256(-amount0Int);
        amount1 = uint256(-amount1Int);
        if (amount0 > 0 || amount1 > 0) {
            (position.tokensOwed0, position.tokensOwed1) = (
                position.tokensOwed0 + uint128(amount0),
                position.tokensOwed1 + uint128(amount1)
            );
        }
        emit Burn(msg.sender, tickLower, tickUpper, amount, amount0, amount1);
    }
    struct SwapCache {
        // the protocol fee for the input token
        uint8 feeProtocol;
        // liquidity at the beginning of the swap
        uint128 liquidityStart;
        // the timestamp of the current block
        uint32 blockTimestamp;
        // the current value of the tick accumulator, computed only if we cross an initialized tick
        int56 tickCumulative;
        // the current value of seconds per liquidity accumulator, computed only if we cross an initialized tick
        uint160 secondsPerLiquidityCumulativeX128;
        // whether we've computed and cached the above two accumulators
        bool computedLatestObservation;
    }
    // the top level state of the swap, the results of which are recorded in storage at the end
    struct SwapState {
        // the amount remaining to be swapped in/out of the input/output asset
        int256 amountSpecifiedRemaining;
        // the amount already swapped out/in of the output/input asset
        int256 amountCalculated;
        // current sqrt(price)
        uint160 sqrtPriceX96;
        // the tick associated with the current price
        int24 tick;
        // the global fee growth of the input token
        uint256 feeGrowthGlobalX128;
        // amount of input token paid as protocol fee
        uint128 protocolFee;
        // the current liquidity in range
        uint128 liquidity;
    }
    struct StepComputations {
        // the price at the beginning of the step
        uint160 sqrtPriceStartX96;
        // the next tick to swap to from the current tick in the swap direction
        int24 tickNext;
        // whether tickNext is initialized or not
        bool initialized;
        // sqrt(price) for the next tick (1/0)
        uint160 sqrtPriceNextX96;
        // how much is being swapped in in this step
        uint256 amountIn;
        // how much is being swapped out
        uint256 amountOut;
        // how much fee is being paid in
        uint256 feeAmount;
    }
    /// @inheritdoc IUniswapV3PoolActions
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external override noDelegateCall returns (int256 amount0, int256 amount1) {
        require(amountSpecified != 0, 'AS');
        Slot0 memory slot0Start = slot0;
        require(slot0Start.unlocked, 'LOK');
        require(
            zeroForOne
                ? sqrtPriceLimitX96 < slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 > TickMath.MIN_SQRT_RATIO
                : sqrtPriceLimitX96 > slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 < TickMath.MAX_SQRT_RATIO,
            'SPL'
        );
        slot0.unlocked = false;
        SwapCache memory cache =
            SwapCache({
                liquidityStart: liquidity,
                blockTimestamp: _blockTimestamp(),
                feeProtocol: zeroForOne ? (slot0Start.feeProtocol % 16) : (slot0Start.feeProtocol >> 4),
                secondsPerLiquidityCumulativeX128: 0,
                tickCumulative: 0,
                computedLatestObservation: false
            });
        bool exactInput = amountSpecified > 0;
        SwapState memory state =
            SwapState({
                amountSpecifiedRemaining: amountSpecified,
                amountCalculated: 0,
                sqrtPriceX96: slot0Start.sqrtPriceX96,
                tick: slot0Start.tick,
                feeGrowthGlobalX128: zeroForOne ? feeGrowthGlobal0X128 : feeGrowthGlobal1X128,
                protocolFee: 0,
                liquidity: cache.liquidityStart
            });
        // continue swapping as long as we haven't used the entire input/output and haven't reached the price limit
        while (state.amountSpecifiedRemaining != 0 && state.sqrtPriceX96 != sqrtPriceLimitX96) {
            StepComputations memory step;
            step.sqrtPriceStartX96 = state.sqrtPriceX96;
            (step.tickNext, step.initialized) = tickBitmap.nextInitializedTickWithinOneWord(
                state.tick,
                tickSpacing,
                zeroForOne
            );
            // ensure that we do not overshoot the min/max tick, as the tick bitmap is not aware of these bounds
            if (step.tickNext < TickMath.MIN_TICK) {
                step.tickNext = TickMath.MIN_TICK;
            } else if (step.tickNext > TickMath.MAX_TICK) {
                step.tickNext = TickMath.MAX_TICK;
            }
            // get the price for the next tick
            step.sqrtPriceNextX96 = TickMath.getSqrtRatioAtTick(step.tickNext);
            // compute values to swap to the target tick, price limit, or point where input/output amount is exhausted
            (state.sqrtPriceX96, step.amountIn, step.amountOut, step.feeAmount) = SwapMath.computeSwapStep(
                state.sqrtPriceX96,
                (zeroForOne ? step.sqrtPriceNextX96 < sqrtPriceLimitX96 : step.sqrtPriceNextX96 > sqrtPriceLimitX96)
                    ? sqrtPriceLimitX96
                    : step.sqrtPriceNextX96,
                state.liquidity,
                state.amountSpecifiedRemaining,
                fee
            );
            if (exactInput) {
                state.amountSpecifiedRemaining -= (step.amountIn + step.feeAmount).toInt256();
                state.amountCalculated = state.amountCalculated.sub(step.amountOut.toInt256());
            } else {
                state.amountSpecifiedRemaining += step.amountOut.toInt256();
                state.amountCalculated = state.amountCalculated.add((step.amountIn + step.feeAmount).toInt256());
            }
            // if the protocol fee is on, calculate how much is owed, decrement feeAmount, and increment protocolFee
            if (cache.feeProtocol > 0) {
                uint256 delta = step.feeAmount / cache.feeProtocol;
                step.feeAmount -= delta;
                state.protocolFee += uint128(delta);
            }
            // update global fee tracker
            if (state.liquidity > 0)
                state.feeGrowthGlobalX128 += FullMath.mulDiv(step.feeAmount, FixedPoint128.Q128, state.liquidity);
            // shift tick if we reached the next price
            if (state.sqrtPriceX96 == step.sqrtPriceNextX96) {
                // if the tick is initialized, run the tick transition
                if (step.initialized) {
                    // check for the placeholder value, which we replace with the actual value the first time the swap
                    // crosses an initialized tick
                    if (!cache.computedLatestObservation) {
                        (cache.tickCumulative, cache.secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                            cache.blockTimestamp,
                            0,
                            slot0Start.tick,
                            slot0Start.observationIndex,
                            cache.liquidityStart,
                            slot0Start.observationCardinality
                        );
                        cache.computedLatestObservation = true;
                    }
                    int128 liquidityNet =
                        ticks.cross(
                            step.tickNext,
                            (zeroForOne ? state.feeGrowthGlobalX128 : feeGrowthGlobal0X128),
                            (zeroForOne ? feeGrowthGlobal1X128 : state.feeGrowthGlobalX128),
                            cache.secondsPerLiquidityCumulativeX128,
                            cache.tickCumulative,
                            cache.blockTimestamp
                        );
                    // if we're moving leftward, we interpret liquidityNet as the opposite sign
                    // safe because liquidityNet cannot be type(int128).min
                    if (zeroForOne) liquidityNet = -liquidityNet;
                    state.liquidity = LiquidityMath.addDelta(state.liquidity, liquidityNet);
                }
                state.tick = zeroForOne ? step.tickNext - 1 : step.tickNext;
            } else if (state.sqrtPriceX96 != step.sqrtPriceStartX96) {
                // recompute unless we're on a lower tick boundary (i.e. already transitioned ticks), and haven't moved
                state.tick = TickMath.getTickAtSqrtRatio(state.sqrtPriceX96);
            }
        }
        // update tick and write an oracle entry if the tick change
        if (state.tick != slot0Start.tick) {
            (uint16 observationIndex, uint16 observationCardinality) =
                observations.write(
                    slot0Start.observationIndex,
                    cache.blockTimestamp,
                    slot0Start.tick,
                    cache.liquidityStart,
                    slot0Start.observationCardinality,
                    slot0Start.observationCardinalityNext
                );
            (slot0.sqrtPriceX96, slot0.tick, slot0.observationIndex, slot0.observationCardinality) = (
                state.sqrtPriceX96,
                state.tick,
                observationIndex,
                observationCardinality
            );
        } else {
            // otherwise just update the price
            slot0.sqrtPriceX96 = state.sqrtPriceX96;
        }
        // update liquidity if it changed
        if (cache.liquidityStart != state.liquidity) liquidity = state.liquidity;
        // update fee growth global and, if necessary, protocol fees
        // overflow is acceptable, protocol has to withdraw before it hits type(uint128).max fees
        if (zeroForOne) {
            feeGrowthGlobal0X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token0 += state.protocolFee;
        } else {
            feeGrowthGlobal1X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token1 += state.protocolFee;
        }
        (amount0, amount1) = zeroForOne == exactInput
            ? (amountSpecified - state.amountSpecifiedRemaining, state.amountCalculated)
            : (state.amountCalculated, amountSpecified - state.amountSpecifiedRemaining);
        // do the transfers and collect payment
        if (zeroForOne) {
            if (amount1 < 0) TransferHelper.safeTransfer(token1, recipient, uint256(-amount1));
            uint256 balance0Before = balance0();
            IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
            require(balance0Before.add(uint256(amount0)) <= balance0(), 'IIA');
        } else {
            if (amount0 < 0) TransferHelper.safeTransfer(token0, recipient, uint256(-amount0));
            uint256 balance1Before = balance1();
            IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
            require(balance1Before.add(uint256(amount1)) <= balance1(), 'IIA');
        }
        emit Swap(msg.sender, recipient, amount0, amount1, state.sqrtPriceX96, state.liquidity, state.tick);
        slot0.unlocked = true;
    }
    /// @inheritdoc IUniswapV3PoolActions
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external override lock noDelegateCall {
        uint128 _liquidity = liquidity;
        require(_liquidity > 0, 'L');
        uint256 fee0 = FullMath.mulDivRoundingUp(amount0, fee, 1e6);
        uint256 fee1 = FullMath.mulDivRoundingUp(amount1, fee, 1e6);
        uint256 balance0Before = balance0();
        uint256 balance1Before = balance1();
        if (amount0 > 0) TransferHelper.safeTransfer(token0, recipient, amount0);
        if (amount1 > 0) TransferHelper.safeTransfer(token1, recipient, amount1);
        IUniswapV3FlashCallback(msg.sender).uniswapV3FlashCallback(fee0, fee1, data);
        uint256 balance0After = balance0();
        uint256 balance1After = balance1();
        require(balance0Before.add(fee0) <= balance0After, 'F0');
        require(balance1Before.add(fee1) <= balance1After, 'F1');
        // sub is safe because we know balanceAfter is gt balanceBefore by at least fee
        uint256 paid0 = balance0After - balance0Before;
        uint256 paid1 = balance1After - balance1Before;
        if (paid0 > 0) {
            uint8 feeProtocol0 = slot0.feeProtocol % 16;
            uint256 fees0 = feeProtocol0 == 0 ? 0 : paid0 / feeProtocol0;
            if (uint128(fees0) > 0) protocolFees.token0 += uint128(fees0);
            feeGrowthGlobal0X128 += FullMath.mulDiv(paid0 - fees0, FixedPoint128.Q128, _liquidity);
        }
        if (paid1 > 0) {
            uint8 feeProtocol1 = slot0.feeProtocol >> 4;
            uint256 fees1 = feeProtocol1 == 0 ? 0 : paid1 / feeProtocol1;
            if (uint128(fees1) > 0) protocolFees.token1 += uint128(fees1);
            feeGrowthGlobal1X128 += FullMath.mulDiv(paid1 - fees1, FixedPoint128.Q128, _liquidity);
        }
        emit Flash(msg.sender, recipient, amount0, amount1, paid0, paid1);
    }
    /// @inheritdoc IUniswapV3PoolOwnerActions
    function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external override lock onlyFactoryOwner {
        require(
            (feeProtocol0 == 0 || (feeProtocol0 >= 4 && feeProtocol0 <= 10)) &&
                (feeProtocol1 == 0 || (feeProtocol1 >= 4 && feeProtocol1 <= 10))
        );
        uint8 feeProtocolOld = slot0.feeProtocol;
        slot0.feeProtocol = feeProtocol0 + (feeProtocol1 << 4);
        emit SetFeeProtocol(feeProtocolOld % 16, feeProtocolOld >> 4, feeProtocol0, feeProtocol1);
    }
    /// @inheritdoc IUniswapV3PoolOwnerActions
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock onlyFactoryOwner returns (uint128 amount0, uint128 amount1) {
        amount0 = amount0Requested > protocolFees.token0 ? protocolFees.token0 : amount0Requested;
        amount1 = amount1Requested > protocolFees.token1 ? protocolFees.token1 : amount1Requested;
        if (amount0 > 0) {
            if (amount0 == protocolFees.token0) amount0--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            if (amount1 == protocolFees.token1) amount1--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit CollectProtocol(msg.sender, recipient, amount0, amount1);
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './pool/IUniswapV3PoolImmutables.sol';
import './pool/IUniswapV3PoolState.sol';
import './pool/IUniswapV3PoolDerivedState.sol';
import './pool/IUniswapV3PoolActions.sol';
import './pool/IUniswapV3PoolOwnerActions.sol';
import './pool/IUniswapV3PoolEvents.sol';
/// @title The interface for a Uniswap V3 Pool
/// @notice A Uniswap pool facilitates swapping and automated market making between any two assets that strictly conform
/// to the ERC20 specification
/// @dev The pool interface is broken up into many smaller pieces
interface IUniswapV3Pool is
    IUniswapV3PoolImmutables,
    IUniswapV3PoolState,
    IUniswapV3PoolDerivedState,
    IUniswapV3PoolActions,
    IUniswapV3PoolOwnerActions,
    IUniswapV3PoolEvents
{
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity =0.7.6;
/// @title Prevents delegatecall to a contract
/// @notice Base contract that provides a modifier for preventing delegatecall to methods in a child contract
abstract contract NoDelegateCall {
    /// @dev The original address of this contract
    address private immutable original;
    constructor() {
        // Immutables are computed in the init code of the contract, and then inlined into the deployed bytecode.
        // In other words, this variable won't change when it's checked at runtime.
        original = address(this);
    }
    /// @dev Private method is used instead of inlining into modifier because modifiers are copied into each method,
    ///     and the use of immutable means the address bytes are copied in every place the modifier is used.
    function checkNotDelegateCall() private view {
        require(address(this) == original);
    }
    /// @notice Prevents delegatecall into the modified method
    modifier noDelegateCall() {
        checkNotDelegateCall();
        _;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.7.0;
/// @title Optimized overflow and underflow safe math operations
/// @notice Contains methods for doing math operations that revert on overflow or underflow for minimal gas cost
library LowGasSafeMath {
    /// @notice Returns x + y, reverts if sum overflows uint256
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x + y) >= x);
    }
    /// @notice Returns x - y, reverts if underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x - y) <= x);
    }
    /// @notice Returns x * y, reverts if overflows
    /// @param x The multiplicand
    /// @param y The multiplier
    /// @return z The product of x and y
    function mul(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require(x == 0 || (z = x * y) / x == y);
    }
    /// @notice Returns x + y, reverts if overflows or underflows
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x + y) >= x == (y >= 0));
    }
    /// @notice Returns x - y, reverts if overflows or underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x - y) <= x == (y >= 0));
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Safe casting methods
/// @notice Contains methods for safely casting between types
library SafeCast {
    /// @notice Cast a uint256 to a uint160, revert on overflow
    /// @param y The uint256 to be downcasted
    /// @return z The downcasted integer, now type uint160
    function toUint160(uint256 y) internal pure returns (uint160 z) {
        require((z = uint160(y)) == y);
    }
    /// @notice Cast a int256 to a int128, revert on overflow or underflow
    /// @param y The int256 to be downcasted
    /// @return z The downcasted integer, now type int128
    function toInt128(int256 y) internal pure returns (int128 z) {
        require((z = int128(y)) == y);
    }
    /// @notice Cast a uint256 to a int256, revert on overflow
    /// @param y The uint256 to be casted
    /// @return z The casted integer, now type int256
    function toInt256(uint256 y) internal pure returns (int256 z) {
        require(y < 2**255);
        z = int256(y);
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './TickMath.sol';
import './LiquidityMath.sol';
/// @title Tick
/// @notice Contains functions for managing tick processes and relevant calculations
library Tick {
    using LowGasSafeMath for int256;
    using SafeCast for int256;
    // info stored for each initialized individual tick
    struct Info {
        // the total position liquidity that references this tick
        uint128 liquidityGross;
        // amount of net liquidity added (subtracted) when tick is crossed from left to right (right to left),
        int128 liquidityNet;
        // fee growth per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint256 feeGrowthOutside0X128;
        uint256 feeGrowthOutside1X128;
        // the cumulative tick value on the other side of the tick
        int56 tickCumulativeOutside;
        // the seconds per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint160 secondsPerLiquidityOutsideX128;
        // the seconds spent on the other side of the tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint32 secondsOutside;
        // true iff the tick is initialized, i.e. the value is exactly equivalent to the expression liquidityGross != 0
        // these 8 bits are set to prevent fresh sstores when crossing newly initialized ticks
        bool initialized;
    }
    /// @notice Derives max liquidity per tick from given tick spacing
    /// @dev Executed within the pool constructor
    /// @param tickSpacing The amount of required tick separation, realized in multiples of `tickSpacing`
    ///     e.g., a tickSpacing of 3 requires ticks to be initialized every 3rd tick i.e., ..., -6, -3, 0, 3, 6, ...
    /// @return The max liquidity per tick
    function tickSpacingToMaxLiquidityPerTick(int24 tickSpacing) internal pure returns (uint128) {
        int24 minTick = (TickMath.MIN_TICK / tickSpacing) * tickSpacing;
        int24 maxTick = (TickMath.MAX_TICK / tickSpacing) * tickSpacing;
        uint24 numTicks = uint24((maxTick - minTick) / tickSpacing) + 1;
        return type(uint128).max / numTicks;
    }
    /// @notice Retrieves fee growth data
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @param tickCurrent The current tick
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @return feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @return feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function getFeeGrowthInside(
        mapping(int24 => Tick.Info) storage self,
        int24 tickLower,
        int24 tickUpper,
        int24 tickCurrent,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128
    ) internal view returns (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) {
        Info storage lower = self[tickLower];
        Info storage upper = self[tickUpper];
        // calculate fee growth below
        uint256 feeGrowthBelow0X128;
        uint256 feeGrowthBelow1X128;
        if (tickCurrent >= tickLower) {
            feeGrowthBelow0X128 = lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = lower.feeGrowthOutside1X128;
        } else {
            feeGrowthBelow0X128 = feeGrowthGlobal0X128 - lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = feeGrowthGlobal1X128 - lower.feeGrowthOutside1X128;
        }
        // calculate fee growth above
        uint256 feeGrowthAbove0X128;
        uint256 feeGrowthAbove1X128;
        if (tickCurrent < tickUpper) {
            feeGrowthAbove0X128 = upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = upper.feeGrowthOutside1X128;
        } else {
            feeGrowthAbove0X128 = feeGrowthGlobal0X128 - upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = feeGrowthGlobal1X128 - upper.feeGrowthOutside1X128;
        }
        feeGrowthInside0X128 = feeGrowthGlobal0X128 - feeGrowthBelow0X128 - feeGrowthAbove0X128;
        feeGrowthInside1X128 = feeGrowthGlobal1X128 - feeGrowthBelow1X128 - feeGrowthAbove1X128;
    }
    /// @notice Updates a tick and returns true if the tick was flipped from initialized to uninitialized, or vice versa
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The tick that will be updated
    /// @param tickCurrent The current tick
    /// @param liquidityDelta A new amount of liquidity to be added (subtracted) when tick is crossed from left to right (right to left)
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The all-time seconds per max(1, liquidity) of the pool
    /// @param time The current block timestamp cast to a uint32
    /// @param upper true for updating a position's upper tick, or false for updating a position's lower tick
    /// @param maxLiquidity The maximum liquidity allocation for a single tick
    /// @return flipped Whether the tick was flipped from initialized to uninitialized, or vice versa
    function update(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        int24 tickCurrent,
        int128 liquidityDelta,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time,
        bool upper,
        uint128 maxLiquidity
    ) internal returns (bool flipped) {
        Tick.Info storage info = self[tick];
        uint128 liquidityGrossBefore = info.liquidityGross;
        uint128 liquidityGrossAfter = LiquidityMath.addDelta(liquidityGrossBefore, liquidityDelta);
        require(liquidityGrossAfter <= maxLiquidity, 'LO');
        flipped = (liquidityGrossAfter == 0) != (liquidityGrossBefore == 0);
        if (liquidityGrossBefore == 0) {
            // by convention, we assume that all growth before a tick was initialized happened _below_ the tick
            if (tick <= tickCurrent) {
                info.feeGrowthOutside0X128 = feeGrowthGlobal0X128;
                info.feeGrowthOutside1X128 = feeGrowthGlobal1X128;
                info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128;
                info.tickCumulativeOutside = tickCumulative;
                info.secondsOutside = time;
            }
            info.initialized = true;
        }
        info.liquidityGross = liquidityGrossAfter;
        // when the lower (upper) tick is crossed left to right (right to left), liquidity must be added (removed)
        info.liquidityNet = upper
            ? int256(info.liquidityNet).sub(liquidityDelta).toInt128()
            : int256(info.liquidityNet).add(liquidityDelta).toInt128();
    }
    /// @notice Clears tick data
    /// @param self The mapping containing all initialized tick information for initialized ticks
    /// @param tick The tick that will be cleared
    function clear(mapping(int24 => Tick.Info) storage self, int24 tick) internal {
        delete self[tick];
    }
    /// @notice Transitions to next tick as needed by price movement
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The destination tick of the transition
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The current seconds per liquidity
    /// @param time The current block.timestamp
    /// @return liquidityNet The amount of liquidity added (subtracted) when tick is crossed from left to right (right to left)
    function cross(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time
    ) internal returns (int128 liquidityNet) {
        Tick.Info storage info = self[tick];
        info.feeGrowthOutside0X128 = feeGrowthGlobal0X128 - info.feeGrowthOutside0X128;
        info.feeGrowthOutside1X128 = feeGrowthGlobal1X128 - info.feeGrowthOutside1X128;
        info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128 - info.secondsPerLiquidityOutsideX128;
        info.tickCumulativeOutside = tickCumulative - info.tickCumulativeOutside;
        info.secondsOutside = time - info.secondsOutside;
        liquidityNet = info.liquidityNet;
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './BitMath.sol';
/// @title Packed tick initialized state library
/// @notice Stores a packed mapping of tick index to its initialized state
/// @dev The mapping uses int16 for keys since ticks are represented as int24 and there are 256 (2^8) values per word.
library TickBitmap {
    /// @notice Computes the position in the mapping where the initialized bit for a tick lives
    /// @param tick The tick for which to compute the position
    /// @return wordPos The key in the mapping containing the word in which the bit is stored
    /// @return bitPos The bit position in the word where the flag is stored
    function position(int24 tick) private pure returns (int16 wordPos, uint8 bitPos) {
        wordPos = int16(tick >> 8);
        bitPos = uint8(tick % 256);
    }
    /// @notice Flips the initialized state for a given tick from false to true, or vice versa
    /// @param self The mapping in which to flip the tick
    /// @param tick The tick to flip
    /// @param tickSpacing The spacing between usable ticks
    function flipTick(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing
    ) internal {
        require(tick % tickSpacing == 0); // ensure that the tick is spaced
        (int16 wordPos, uint8 bitPos) = position(tick / tickSpacing);
        uint256 mask = 1 << bitPos;
        self[wordPos] ^= mask;
    }
    /// @notice Returns the next initialized tick contained in the same word (or adjacent word) as the tick that is either
    /// to the left (less than or equal to) or right (greater than) of the given tick
    /// @param self The mapping in which to compute the next initialized tick
    /// @param tick The starting tick
    /// @param tickSpacing The spacing between usable ticks
    /// @param lte Whether to search for the next initialized tick to the left (less than or equal to the starting tick)
    /// @return next The next initialized or uninitialized tick up to 256 ticks away from the current tick
    /// @return initialized Whether the next tick is initialized, as the function only searches within up to 256 ticks
    function nextInitializedTickWithinOneWord(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing,
        bool lte
    ) internal view returns (int24 next, bool initialized) {
        int24 compressed = tick / tickSpacing;
        if (tick < 0 && tick % tickSpacing != 0) compressed--; // round towards negative infinity
        if (lte) {
            (int16 wordPos, uint8 bitPos) = position(compressed);
            // all the 1s at or to the right of the current bitPos
            uint256 mask = (1 << bitPos) - 1 + (1 << bitPos);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the right of or at the current tick, return rightmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed - int24(bitPos - BitMath.mostSignificantBit(masked))) * tickSpacing
                : (compressed - int24(bitPos)) * tickSpacing;
        } else {
            // start from the word of the next tick, since the current tick state doesn't matter
            (int16 wordPos, uint8 bitPos) = position(compressed + 1);
            // all the 1s at or to the left of the bitPos
            uint256 mask = ~((1 << bitPos) - 1);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the left of the current tick, return leftmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed + 1 + int24(BitMath.leastSignificantBit(masked) - bitPos)) * tickSpacing
                : (compressed + 1 + int24(type(uint8).max - bitPos)) * tickSpacing;
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './FullMath.sol';
import './FixedPoint128.sol';
import './LiquidityMath.sol';
/// @title Position
/// @notice Positions represent an owner address' liquidity between a lower and upper tick boundary
/// @dev Positions store additional state for tracking fees owed to the position
library Position {
    // info stored for each user's position
    struct Info {
        // the amount of liquidity owned by this position
        uint128 liquidity;
        // fee growth per unit of liquidity as of the last update to liquidity or fees owed
        uint256 feeGrowthInside0LastX128;
        uint256 feeGrowthInside1LastX128;
        // the fees owed to the position owner in token0/token1
        uint128 tokensOwed0;
        uint128 tokensOwed1;
    }
    /// @notice Returns the Info struct of a position, given an owner and position boundaries
    /// @param self The mapping containing all user positions
    /// @param owner The address of the position owner
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @return position The position info struct of the given owners' position
    function get(
        mapping(bytes32 => Info) storage self,
        address owner,
        int24 tickLower,
        int24 tickUpper
    ) internal view returns (Position.Info storage position) {
        position = self[keccak256(abi.encodePacked(owner, tickLower, tickUpper))];
    }
    /// @notice Credits accumulated fees to a user's position
    /// @param self The individual position to update
    /// @param liquidityDelta The change in pool liquidity as a result of the position update
    /// @param feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @param feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function update(
        Info storage self,
        int128 liquidityDelta,
        uint256 feeGrowthInside0X128,
        uint256 feeGrowthInside1X128
    ) internal {
        Info memory _self = self;
        uint128 liquidityNext;
        if (liquidityDelta == 0) {
            require(_self.liquidity > 0, 'NP'); // disallow pokes for 0 liquidity positions
            liquidityNext = _self.liquidity;
        } else {
            liquidityNext = LiquidityMath.addDelta(_self.liquidity, liquidityDelta);
        }
        // calculate accumulated fees
        uint128 tokensOwed0 =
            uint128(
                FullMath.mulDiv(
                    feeGrowthInside0X128 - _self.feeGrowthInside0LastX128,
                    _self.liquidity,
                    FixedPoint128.Q128
                )
            );
        uint128 tokensOwed1 =
            uint128(
                FullMath.mulDiv(
                    feeGrowthInside1X128 - _self.feeGrowthInside1LastX128,
                    _self.liquidity,
                    FixedPoint128.Q128
                )
            );
        // update the position
        if (liquidityDelta != 0) self.liquidity = liquidityNext;
        self.feeGrowthInside0LastX128 = feeGrowthInside0X128;
        self.feeGrowthInside1LastX128 = feeGrowthInside1X128;
        if (tokensOwed0 > 0 || tokensOwed1 > 0) {
            // overflow is acceptable, have to withdraw before you hit type(uint128).max fees
            self.tokensOwed0 += tokensOwed0;
            self.tokensOwed1 += tokensOwed1;
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
/// @title Oracle
/// @notice Provides price and liquidity data useful for a wide variety of system designs
/// @dev Instances of stored oracle data, "observations", are collected in the oracle array
/// Every pool is initialized with an oracle array length of 1. Anyone can pay the SSTOREs to increase the
/// maximum length of the oracle array. New slots will be added when the array is fully populated.
/// Observations are overwritten when the full length of the oracle array is populated.
/// The most recent observation is available, independent of the length of the oracle array, by passing 0 to observe()
library Oracle {
    struct Observation {
        // the block timestamp of the observation
        uint32 blockTimestamp;
        // the tick accumulator, i.e. tick * time elapsed since the pool was first initialized
        int56 tickCumulative;
        // the seconds per liquidity, i.e. seconds elapsed / max(1, liquidity) since the pool was first initialized
        uint160 secondsPerLiquidityCumulativeX128;
        // whether or not the observation is initialized
        bool initialized;
    }
    /// @notice Transforms a previous observation into a new observation, given the passage of time and the current tick and liquidity values
    /// @dev blockTimestamp _must_ be chronologically equal to or greater than last.blockTimestamp, safe for 0 or 1 overflows
    /// @param last The specified observation to be transformed
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @return Observation The newly populated observation
    function transform(
        Observation memory last,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity
    ) private pure returns (Observation memory) {
        uint32 delta = blockTimestamp - last.blockTimestamp;
        return
            Observation({
                blockTimestamp: blockTimestamp,
                tickCumulative: last.tickCumulative + int56(tick) * delta,
                secondsPerLiquidityCumulativeX128: last.secondsPerLiquidityCumulativeX128 +
                    ((uint160(delta) << 128) / (liquidity > 0 ? liquidity : 1)),
                initialized: true
            });
    }
    /// @notice Initialize the oracle array by writing the first slot. Called once for the lifecycle of the observations array
    /// @param self The stored oracle array
    /// @param time The time of the oracle initialization, via block.timestamp truncated to uint32
    /// @return cardinality The number of populated elements in the oracle array
    /// @return cardinalityNext The new length of the oracle array, independent of population
    function initialize(Observation[65535] storage self, uint32 time)
        internal
        returns (uint16 cardinality, uint16 cardinalityNext)
    {
        self[0] = Observation({
            blockTimestamp: time,
            tickCumulative: 0,
            secondsPerLiquidityCumulativeX128: 0,
            initialized: true
        });
        return (1, 1);
    }
    /// @notice Writes an oracle observation to the array
    /// @dev Writable at most once per block. Index represents the most recently written element. cardinality and index must be tracked externally.
    /// If the index is at the end of the allowable array length (according to cardinality), and the next cardinality
    /// is greater than the current one, cardinality may be increased. This restriction is created to preserve ordering.
    /// @param self The stored oracle array
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @param cardinality The number of populated elements in the oracle array
    /// @param cardinalityNext The new length of the oracle array, independent of population
    /// @return indexUpdated The new index of the most recently written element in the oracle array
    /// @return cardinalityUpdated The new cardinality of the oracle array
    function write(
        Observation[65535] storage self,
        uint16 index,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity,
        uint16 cardinality,
        uint16 cardinalityNext
    ) internal returns (uint16 indexUpdated, uint16 cardinalityUpdated) {
        Observation memory last = self[index];
        // early return if we've already written an observation this block
        if (last.blockTimestamp == blockTimestamp) return (index, cardinality);
        // if the conditions are right, we can bump the cardinality
        if (cardinalityNext > cardinality && index == (cardinality - 1)) {
            cardinalityUpdated = cardinalityNext;
        } else {
            cardinalityUpdated = cardinality;
        }
        indexUpdated = (index + 1) % cardinalityUpdated;
        self[indexUpdated] = transform(last, blockTimestamp, tick, liquidity);
    }
    /// @notice Prepares the oracle array to store up to `next` observations
    /// @param self The stored oracle array
    /// @param current The current next cardinality of the oracle array
    /// @param next The proposed next cardinality which will be populated in the oracle array
    /// @return next The next cardinality which will be populated in the oracle array
    function grow(
        Observation[65535] storage self,
        uint16 current,
        uint16 next
    ) internal returns (uint16) {
        require(current > 0, 'I');
        // no-op if the passed next value isn't greater than the current next value
        if (next <= current) return current;
        // store in each slot to prevent fresh SSTOREs in swaps
        // this data will not be used because the initialized boolean is still false
        for (uint16 i = current; i < next; i++) self[i].blockTimestamp = 1;
        return next;
    }
    /// @notice comparator for 32-bit timestamps
    /// @dev safe for 0 or 1 overflows, a and b _must_ be chronologically before or equal to time
    /// @param time A timestamp truncated to 32 bits
    /// @param a A comparison timestamp from which to determine the relative position of `time`
    /// @param b From which to determine the relative position of `time`
    /// @return bool Whether `a` is chronologically <= `b`
    function lte(
        uint32 time,
        uint32 a,
        uint32 b
    ) private pure returns (bool) {
        // if there hasn't been overflow, no need to adjust
        if (a <= time && b <= time) return a <= b;
        uint256 aAdjusted = a > time ? a : a + 2**32;
        uint256 bAdjusted = b > time ? b : b + 2**32;
        return aAdjusted <= bAdjusted;
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a target, i.e. where [beforeOrAt, atOrAfter] is satisfied.
    /// The result may be the same observation, or adjacent observations.
    /// @dev The answer must be contained in the array, used when the target is located within the stored observation
    /// boundaries: older than the most recent observation and younger, or the same age as, the oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation recorded before, or at, the target
    /// @return atOrAfter The observation recorded at, or after, the target
    function binarySearch(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        uint16 index,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        uint256 l = (index + 1) % cardinality; // oldest observation
        uint256 r = l + cardinality - 1; // newest observation
        uint256 i;
        while (true) {
            i = (l + r) / 2;
            beforeOrAt = self[i % cardinality];
            // we've landed on an uninitialized tick, keep searching higher (more recently)
            if (!beforeOrAt.initialized) {
                l = i + 1;
                continue;
            }
            atOrAfter = self[(i + 1) % cardinality];
            bool targetAtOrAfter = lte(time, beforeOrAt.blockTimestamp, target);
            // check if we've found the answer!
            if (targetAtOrAfter && lte(time, target, atOrAfter.blockTimestamp)) break;
            if (!targetAtOrAfter) r = i - 1;
            else l = i + 1;
        }
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a given target, i.e. where [beforeOrAt, atOrAfter] is satisfied
    /// @dev Assumes there is at least 1 initialized observation.
    /// Used by observeSingle() to compute the counterfactual accumulator values as of a given block timestamp.
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param tick The active tick at the time of the returned or simulated observation
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The total pool liquidity at the time of the call
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation which occurred at, or before, the given timestamp
    /// @return atOrAfter The observation which occurred at, or after, the given timestamp
    function getSurroundingObservations(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        // optimistically set before to the newest observation
        beforeOrAt = self[index];
        // if the target is chronologically at or after the newest observation, we can early return
        if (lte(time, beforeOrAt.blockTimestamp, target)) {
            if (beforeOrAt.blockTimestamp == target) {
                // if newest observation equals target, we're in the same block, so we can ignore atOrAfter
                return (beforeOrAt, atOrAfter);
            } else {
                // otherwise, we need to transform
                return (beforeOrAt, transform(beforeOrAt, target, tick, liquidity));
            }
        }
        // now, set before to the oldest observation
        beforeOrAt = self[(index + 1) % cardinality];
        if (!beforeOrAt.initialized) beforeOrAt = self[0];
        // ensure that the target is chronologically at or after the oldest observation
        require(lte(time, beforeOrAt.blockTimestamp, target), 'OLD');
        // if we've reached this point, we have to binary search
        return binarySearch(self, time, target, index, cardinality);
    }
    /// @dev Reverts if an observation at or before the desired observation timestamp does not exist.
    /// 0 may be passed as `secondsAgo' to return the current cumulative values.
    /// If called with a timestamp falling between two observations, returns the counterfactual accumulator values
    /// at exactly the timestamp between the two observations.
    /// @param self The stored oracle array
    /// @param time The current block timestamp
    /// @param secondsAgo The amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulative The tick * time elapsed since the pool was first initialized, as of `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128 The time elapsed / max(1, liquidity) since the pool was first initialized, as of `secondsAgo`
    function observeSingle(
        Observation[65535] storage self,
        uint32 time,
        uint32 secondsAgo,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) {
        if (secondsAgo == 0) {
            Observation memory last = self[index];
            if (last.blockTimestamp != time) last = transform(last, time, tick, liquidity);
            return (last.tickCumulative, last.secondsPerLiquidityCumulativeX128);
        }
        uint32 target = time - secondsAgo;
        (Observation memory beforeOrAt, Observation memory atOrAfter) =
            getSurroundingObservations(self, time, target, tick, index, liquidity, cardinality);
        if (target == beforeOrAt.blockTimestamp) {
            // we're at the left boundary
            return (beforeOrAt.tickCumulative, beforeOrAt.secondsPerLiquidityCumulativeX128);
        } else if (target == atOrAfter.blockTimestamp) {
            // we're at the right boundary
            return (atOrAfter.tickCumulative, atOrAfter.secondsPerLiquidityCumulativeX128);
        } else {
            // we're in the middle
            uint32 observationTimeDelta = atOrAfter.blockTimestamp - beforeOrAt.blockTimestamp;
            uint32 targetDelta = target - beforeOrAt.blockTimestamp;
            return (
                beforeOrAt.tickCumulative +
                    ((atOrAfter.tickCumulative - beforeOrAt.tickCumulative) / observationTimeDelta) *
                    targetDelta,
                beforeOrAt.secondsPerLiquidityCumulativeX128 +
                    uint160(
                        (uint256(
                            atOrAfter.secondsPerLiquidityCumulativeX128 - beforeOrAt.secondsPerLiquidityCumulativeX128
                        ) * targetDelta) / observationTimeDelta
                    )
            );
        }
    }
    /// @notice Returns the accumulator values as of each time seconds ago from the given time in the array of `secondsAgos`
    /// @dev Reverts if `secondsAgos` > oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param secondsAgos Each amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulatives The tick * time elapsed since the pool was first initialized, as of each `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128s The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of each `secondsAgo`
    function observe(
        Observation[65535] storage self,
        uint32 time,
        uint32[] memory secondsAgos,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s) {
        require(cardinality > 0, 'I');
        tickCumulatives = new int56[](secondsAgos.length);
        secondsPerLiquidityCumulativeX128s = new uint160[](secondsAgos.length);
        for (uint256 i = 0; i < secondsAgos.length; i++) {
            (tickCumulatives[i], secondsPerLiquidityCumulativeX128s[i]) = observeSingle(
                self,
                time,
                secondsAgos[i],
                tick,
                index,
                liquidity,
                cardinality
            );
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.4.0;
/// @title Contains 512-bit math functions
/// @notice Facilitates multiplication and division that can have overflow of an intermediate value without any loss of precision
/// @dev Handles "phantom overflow" i.e., allows multiplication and division where an intermediate value overflows 256 bits
library FullMath {
    /// @notice Calculates floor(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
    function mulDiv(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        // 512-bit multiply [prod1 prod0] = a * b
        // Compute the product mod 2**256 and mod 2**256 - 1
        // then use the Chinese Remainder Theorem to reconstruct
        // the 512 bit result. The result is stored in two 256
        // variables such that product = prod1 * 2**256 + prod0
        uint256 prod0; // Least significant 256 bits of the product
        uint256 prod1; // Most significant 256 bits of the product
        assembly {
            let mm := mulmod(a, b, not(0))
            prod0 := mul(a, b)
            prod1 := sub(sub(mm, prod0), lt(mm, prod0))
        }
        // Handle non-overflow cases, 256 by 256 division
        if (prod1 == 0) {
            require(denominator > 0);
            assembly {
                result := div(prod0, denominator)
            }
            return result;
        }
        // Make sure the result is less than 2**256.
        // Also prevents denominator == 0
        require(denominator > prod1);
        ///////////////////////////////////////////////
        // 512 by 256 division.
        ///////////////////////////////////////////////
        // Make division exact by subtracting the remainder from [prod1 prod0]
        // Compute remainder using mulmod
        uint256 remainder;
        assembly {
            remainder := mulmod(a, b, denominator)
        }
        // Subtract 256 bit number from 512 bit number
        assembly {
            prod1 := sub(prod1, gt(remainder, prod0))
            prod0 := sub(prod0, remainder)
        }
        // Factor powers of two out of denominator
        // Compute largest power of two divisor of denominator.
        // Always >= 1.
        uint256 twos = -denominator & denominator;
        // Divide denominator by power of two
        assembly {
            denominator := div(denominator, twos)
        }
        // Divide [prod1 prod0] by the factors of two
        assembly {
            prod0 := div(prod0, twos)
        }
        // Shift in bits from prod1 into prod0. For this we need
        // to flip `twos` such that it is 2**256 / twos.
        // If twos is zero, then it becomes one
        assembly {
            twos := add(div(sub(0, twos), twos), 1)
        }
        prod0 |= prod1 * twos;
        // Invert denominator mod 2**256
        // Now that denominator is an odd number, it has an inverse
        // modulo 2**256 such that denominator * inv = 1 mod 2**256.
        // Compute the inverse by starting with a seed that is correct
        // correct for four bits. That is, denominator * inv = 1 mod 2**4
        uint256 inv = (3 * denominator) ^ 2;
        // Now use Newton-Raphson iteration to improve the precision.
        // Thanks to Hensel's lifting lemma, this also works in modular
        // arithmetic, doubling the correct bits in each step.
        inv *= 2 - denominator * inv; // inverse mod 2**8
        inv *= 2 - denominator * inv; // inverse mod 2**16
        inv *= 2 - denominator * inv; // inverse mod 2**32
        inv *= 2 - denominator * inv; // inverse mod 2**64
        inv *= 2 - denominator * inv; // inverse mod 2**128
        inv *= 2 - denominator * inv; // inverse mod 2**256
        // Because the division is now exact we can divide by multiplying
        // with the modular inverse of denominator. This will give us the
        // correct result modulo 2**256. Since the precoditions guarantee
        // that the outcome is less than 2**256, this is the final result.
        // We don't need to compute the high bits of the result and prod1
        // is no longer required.
        result = prod0 * inv;
        return result;
    }
    /// @notice Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    function mulDivRoundingUp(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        result = mulDiv(a, b, denominator);
        if (mulmod(a, b, denominator) > 0) {
            require(result < type(uint256).max);
            result++;
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0;
/// @title FixedPoint128
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
library FixedPoint128 {
    uint256 internal constant Q128 = 0x100000000000000000000000000000000;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.6.0;
import '../interfaces/IERC20Minimal.sol';
/// @title TransferHelper
/// @notice Contains helper methods for interacting with ERC20 tokens that do not consistently return true/false
library TransferHelper {
    /// @notice Transfers tokens from msg.sender to a recipient
    /// @dev Calls transfer on token contract, errors with TF if transfer fails
    /// @param token The contract address of the token which will be transferred
    /// @param to The recipient of the transfer
    /// @param value The value of the transfer
    function safeTransfer(
        address token,
        address to,
        uint256 value
    ) internal {
        (bool success, bytes memory data) =
            token.call(abi.encodeWithSelector(IERC20Minimal.transfer.selector, to, value));
        require(success && (data.length == 0 || abi.decode(data, (bool))), 'TF');
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math library for computing sqrt prices from ticks and vice versa
/// @notice Computes sqrt price for ticks of size 1.0001, i.e. sqrt(1.0001^tick) as fixed point Q64.96 numbers. Supports
/// prices between 2**-128 and 2**128
library TickMath {
    /// @dev The minimum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**-128
    int24 internal constant MIN_TICK = -887272;
    /// @dev The maximum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**128
    int24 internal constant MAX_TICK = -MIN_TICK;
    /// @dev The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
    uint160 internal constant MIN_SQRT_RATIO = 4295128739;
    /// @dev The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
    uint160 internal constant MAX_SQRT_RATIO = 1461446703485210103287273052203988822378723970342;
    /// @notice Calculates sqrt(1.0001^tick) * 2^96
    /// @dev Throws if |tick| > max tick
    /// @param tick The input tick for the above formula
    /// @return sqrtPriceX96 A Fixed point Q64.96 number representing the sqrt of the ratio of the two assets (token1/token0)
    /// at the given tick
    function getSqrtRatioAtTick(int24 tick) internal pure returns (uint160 sqrtPriceX96) {
        uint256 absTick = tick < 0 ? uint256(-int256(tick)) : uint256(int256(tick));
        require(absTick <= uint256(MAX_TICK), 'T');
        uint256 ratio = absTick & 0x1 != 0 ? 0xfffcb933bd6fad37aa2d162d1a594001 : 0x100000000000000000000000000000000;
        if (absTick & 0x2 != 0) ratio = (ratio * 0xfff97272373d413259a46990580e213a) >> 128;
        if (absTick & 0x4 != 0) ratio = (ratio * 0xfff2e50f5f656932ef12357cf3c7fdcc) >> 128;
        if (absTick & 0x8 != 0) ratio = (ratio * 0xffe5caca7e10e4e61c3624eaa0941cd0) >> 128;
        if (absTick & 0x10 != 0) ratio = (ratio * 0xffcb9843d60f6159c9db58835c926644) >> 128;
        if (absTick & 0x20 != 0) ratio = (ratio * 0xff973b41fa98c081472e6896dfb254c0) >> 128;
        if (absTick & 0x40 != 0) ratio = (ratio * 0xff2ea16466c96a3843ec78b326b52861) >> 128;
        if (absTick & 0x80 != 0) ratio = (ratio * 0xfe5dee046a99a2a811c461f1969c3053) >> 128;
        if (absTick & 0x100 != 0) ratio = (ratio * 0xfcbe86c7900a88aedcffc83b479aa3a4) >> 128;
        if (absTick & 0x200 != 0) ratio = (ratio * 0xf987a7253ac413176f2b074cf7815e54) >> 128;
        if (absTick & 0x400 != 0) ratio = (ratio * 0xf3392b0822b70005940c7a398e4b70f3) >> 128;
        if (absTick & 0x800 != 0) ratio = (ratio * 0xe7159475a2c29b7443b29c7fa6e889d9) >> 128;
        if (absTick & 0x1000 != 0) ratio = (ratio * 0xd097f3bdfd2022b8845ad8f792aa5825) >> 128;
        if (absTick & 0x2000 != 0) ratio = (ratio * 0xa9f746462d870fdf8a65dc1f90e061e5) >> 128;
        if (absTick & 0x4000 != 0) ratio = (ratio * 0x70d869a156d2a1b890bb3df62baf32f7) >> 128;
        if (absTick & 0x8000 != 0) ratio = (ratio * 0x31be135f97d08fd981231505542fcfa6) >> 128;
        if (absTick & 0x10000 != 0) ratio = (ratio * 0x9aa508b5b7a84e1c677de54f3e99bc9) >> 128;
        if (absTick & 0x20000 != 0) ratio = (ratio * 0x5d6af8dedb81196699c329225ee604) >> 128;
        if (absTick & 0x40000 != 0) ratio = (ratio * 0x2216e584f5fa1ea926041bedfe98) >> 128;
        if (absTick & 0x80000 != 0) ratio = (ratio * 0x48a170391f7dc42444e8fa2) >> 128;
        if (tick > 0) ratio = type(uint256).max / ratio;
        // this divides by 1<<32 rounding up to go from a Q128.128 to a Q128.96.
        // we then downcast because we know the result always fits within 160 bits due to our tick input constraint
        // we round up in the division so getTickAtSqrtRatio of the output price is always consistent
        sqrtPriceX96 = uint160((ratio >> 32) + (ratio % (1 << 32) == 0 ? 0 : 1));
    }
    /// @notice Calculates the greatest tick value such that getRatioAtTick(tick) <= ratio
    /// @dev Throws in case sqrtPriceX96 < MIN_SQRT_RATIO, as MIN_SQRT_RATIO is the lowest value getRatioAtTick may
    /// ever return.
    /// @param sqrtPriceX96 The sqrt ratio for which to compute the tick as a Q64.96
    /// @return tick The greatest tick for which the ratio is less than or equal to the input ratio
    function getTickAtSqrtRatio(uint160 sqrtPriceX96) internal pure returns (int24 tick) {
        // second inequality must be < because the price can never reach the price at the max tick
        require(sqrtPriceX96 >= MIN_SQRT_RATIO && sqrtPriceX96 < MAX_SQRT_RATIO, 'R');
        uint256 ratio = uint256(sqrtPriceX96) << 32;
        uint256 r = ratio;
        uint256 msb = 0;
        assembly {
            let f := shl(7, gt(r, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(6, gt(r, 0xFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(5, gt(r, 0xFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(4, gt(r, 0xFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(3, gt(r, 0xFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(2, gt(r, 0xF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(1, gt(r, 0x3))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := gt(r, 0x1)
            msb := or(msb, f)
        }
        if (msb >= 128) r = ratio >> (msb - 127);
        else r = ratio << (127 - msb);
        int256 log_2 = (int256(msb) - 128) << 64;
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(63, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(62, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(61, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(60, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(59, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(58, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(57, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(56, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(55, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(54, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(53, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(52, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(51, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(50, f))
        }
        int256 log_sqrt10001 = log_2 * 255738958999603826347141; // 128.128 number
        int24 tickLow = int24((log_sqrt10001 - 3402992956809132418596140100660247210) >> 128);
        int24 tickHi = int24((log_sqrt10001 + 291339464771989622907027621153398088495) >> 128);
        tick = tickLow == tickHi ? tickLow : getSqrtRatioAtTick(tickHi) <= sqrtPriceX96 ? tickHi : tickLow;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math library for liquidity
library LiquidityMath {
    /// @notice Add a signed liquidity delta to liquidity and revert if it overflows or underflows
    /// @param x The liquidity before change
    /// @param y The delta by which liquidity should be changed
    /// @return z The liquidity delta
    function addDelta(uint128 x, int128 y) internal pure returns (uint128 z) {
        if (y < 0) {
            require((z = x - uint128(-y)) < x, 'LS');
        } else {
            require((z = x + uint128(y)) >= x, 'LA');
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './FullMath.sol';
import './UnsafeMath.sol';
import './FixedPoint96.sol';
/// @title Functions based on Q64.96 sqrt price and liquidity
/// @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas
library SqrtPriceMath {
    using LowGasSafeMath for uint256;
    using SafeCast for uint256;
    /// @notice Gets the next sqrt price given a delta of token0
    /// @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the
    /// price less in order to not send too much output.
    /// The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),
    /// if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).
    /// @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token0 to add or remove from virtual reserves
    /// @param add Whether to add or remove the amount of token0
    /// @return The price after adding or removing amount, depending on add
    function getNextSqrtPriceFromAmount0RoundingUp(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // we short circuit amount == 0 because the result is otherwise not guaranteed to equal the input price
        if (amount == 0) return sqrtPX96;
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        if (add) {
            uint256 product;
            if ((product = amount * sqrtPX96) / amount == sqrtPX96) {
                uint256 denominator = numerator1 + product;
                if (denominator >= numerator1)
                    // always fits in 160 bits
                    return uint160(FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator));
            }
            return uint160(UnsafeMath.divRoundingUp(numerator1, (numerator1 / sqrtPX96).add(amount)));
        } else {
            uint256 product;
            // if the product overflows, we know the denominator underflows
            // in addition, we must check that the denominator does not underflow
            require((product = amount * sqrtPX96) / amount == sqrtPX96 && numerator1 > product);
            uint256 denominator = numerator1 - product;
            return FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator).toUint160();
        }
    }
    /// @notice Gets the next sqrt price given a delta of token1
    /// @dev Always rounds down, because in the exact output case (decreasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (increasing price) we need to move the
    /// price less in order to not send too much output.
    /// The formula we compute is within <1 wei of the lossless version: sqrtPX96 +- amount / liquidity
    /// @param sqrtPX96 The starting price, i.e., before accounting for the token1 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token1 to add, or remove, from virtual reserves
    /// @param add Whether to add, or remove, the amount of token1
    /// @return The price after adding or removing `amount`
    function getNextSqrtPriceFromAmount1RoundingDown(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // if we're adding (subtracting), rounding down requires rounding the quotient down (up)
        // in both cases, avoid a mulDiv for most inputs
        if (add) {
            uint256 quotient =
                (
                    amount <= type(uint160).max
                        ? (amount << FixedPoint96.RESOLUTION) / liquidity
                        : FullMath.mulDiv(amount, FixedPoint96.Q96, liquidity)
                );
            return uint256(sqrtPX96).add(quotient).toUint160();
        } else {
            uint256 quotient =
                (
                    amount <= type(uint160).max
                        ? UnsafeMath.divRoundingUp(amount << FixedPoint96.RESOLUTION, liquidity)
                        : FullMath.mulDivRoundingUp(amount, FixedPoint96.Q96, liquidity)
                );
            require(sqrtPX96 > quotient);
            // always fits 160 bits
            return uint160(sqrtPX96 - quotient);
        }
    }
    /// @notice Gets the next sqrt price given an input amount of token0 or token1
    /// @dev Throws if price or liquidity are 0, or if the next price is out of bounds
    /// @param sqrtPX96 The starting price, i.e., before accounting for the input amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountIn How much of token0, or token1, is being swapped in
    /// @param zeroForOne Whether the amount in is token0 or token1
    /// @return sqrtQX96 The price after adding the input amount to token0 or token1
    function getNextSqrtPriceFromInput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountIn,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we don't pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountIn, true)
                : getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountIn, true);
    }
    /// @notice Gets the next sqrt price given an output amount of token0 or token1
    /// @dev Throws if price or liquidity are 0 or the next price is out of bounds
    /// @param sqrtPX96 The starting price before accounting for the output amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountOut How much of token0, or token1, is being swapped out
    /// @param zeroForOne Whether the amount out is token0 or token1
    /// @return sqrtQX96 The price after removing the output amount of token0 or token1
    function getNextSqrtPriceFromOutput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountOut,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountOut, false)
                : getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountOut, false);
    }
    /// @notice Gets the amount0 delta between two prices
    /// @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),
    /// i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up or down
    /// @return amount0 Amount of token0 required to cover a position of size liquidity between the two passed prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount0) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        uint256 numerator2 = sqrtRatioBX96 - sqrtRatioAX96;
        require(sqrtRatioAX96 > 0);
        return
            roundUp
                ? UnsafeMath.divRoundingUp(
                    FullMath.mulDivRoundingUp(numerator1, numerator2, sqrtRatioBX96),
                    sqrtRatioAX96
                )
                : FullMath.mulDiv(numerator1, numerator2, sqrtRatioBX96) / sqrtRatioAX96;
    }
    /// @notice Gets the amount1 delta between two prices
    /// @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up, or down
    /// @return amount1 Amount of token1 required to cover a position of size liquidity between the two passed prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount1) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        return
            roundUp
                ? FullMath.mulDivRoundingUp(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96)
                : FullMath.mulDiv(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96);
    }
    /// @notice Helper that gets signed token0 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount0 delta
    /// @return amount0 Amount of token0 corresponding to the passed liquidityDelta between the two prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount0) {
        return
            liquidity < 0
                ? -getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
    /// @notice Helper that gets signed token1 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount1 delta
    /// @return amount1 Amount of token1 corresponding to the passed liquidityDelta between the two prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount1) {
        return
            liquidity < 0
                ? -getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './FullMath.sol';
import './SqrtPriceMath.sol';
/// @title Computes the result of a swap within ticks
/// @notice Contains methods for computing the result of a swap within a single tick price range, i.e., a single tick.
library SwapMath {
    /// @notice Computes the result of swapping some amount in, or amount out, given the parameters of the swap
    /// @dev The fee, plus the amount in, will never exceed the amount remaining if the swap's `amountSpecified` is positive
    /// @param sqrtRatioCurrentX96 The current sqrt price of the pool
    /// @param sqrtRatioTargetX96 The price that cannot be exceeded, from which the direction of the swap is inferred
    /// @param liquidity The usable liquidity
    /// @param amountRemaining How much input or output amount is remaining to be swapped in/out
    /// @param feePips The fee taken from the input amount, expressed in hundredths of a bip
    /// @return sqrtRatioNextX96 The price after swapping the amount in/out, not to exceed the price target
    /// @return amountIn The amount to be swapped in, of either token0 or token1, based on the direction of the swap
    /// @return amountOut The amount to be received, of either token0 or token1, based on the direction of the swap
    /// @return feeAmount The amount of input that will be taken as a fee
    function computeSwapStep(
        uint160 sqrtRatioCurrentX96,
        uint160 sqrtRatioTargetX96,
        uint128 liquidity,
        int256 amountRemaining,
        uint24 feePips
    )
        internal
        pure
        returns (
            uint160 sqrtRatioNextX96,
            uint256 amountIn,
            uint256 amountOut,
            uint256 feeAmount
        )
    {
        bool zeroForOne = sqrtRatioCurrentX96 >= sqrtRatioTargetX96;
        bool exactIn = amountRemaining >= 0;
        if (exactIn) {
            uint256 amountRemainingLessFee = FullMath.mulDiv(uint256(amountRemaining), 1e6 - feePips, 1e6);
            amountIn = zeroForOne
                ? SqrtPriceMath.getAmount0Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, true)
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, true);
            if (amountRemainingLessFee >= amountIn) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromInput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    amountRemainingLessFee,
                    zeroForOne
                );
        } else {
            amountOut = zeroForOne
                ? SqrtPriceMath.getAmount1Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, false)
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, false);
            if (uint256(-amountRemaining) >= amountOut) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromOutput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    uint256(-amountRemaining),
                    zeroForOne
                );
        }
        bool max = sqrtRatioTargetX96 == sqrtRatioNextX96;
        // get the input/output amounts
        if (zeroForOne) {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount0Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount1Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, false);
        } else {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, false);
        }
        // cap the output amount to not exceed the remaining output amount
        if (!exactIn && amountOut > uint256(-amountRemaining)) {
            amountOut = uint256(-amountRemaining);
        }
        if (exactIn && sqrtRatioNextX96 != sqrtRatioTargetX96) {
            // we didn't reach the target, so take the remainder of the maximum input as fee
            feeAmount = uint256(amountRemaining) - amountIn;
        } else {
            feeAmount = FullMath.mulDivRoundingUp(amountIn, feePips, 1e6 - feePips);
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title An interface for a contract that is capable of deploying Uniswap V3 Pools
/// @notice A contract that constructs a pool must implement this to pass arguments to the pool
/// @dev This is used to avoid having constructor arguments in the pool contract, which results in the init code hash
/// of the pool being constant allowing the CREATE2 address of the pool to be cheaply computed on-chain
interface IUniswapV3PoolDeployer {
    /// @notice Get the parameters to be used in constructing the pool, set transiently during pool creation.
    /// @dev Called by the pool constructor to fetch the parameters of the pool
    /// Returns factory The factory address
    /// Returns token0 The first token of the pool by address sort order
    /// Returns token1 The second token of the pool by address sort order
    /// Returns fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// Returns tickSpacing The minimum number of ticks between initialized ticks
    function parameters()
        external
        view
        returns (
            address factory,
            address token0,
            address token1,
            uint24 fee,
            int24 tickSpacing
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title The interface for the Uniswap V3 Factory
/// @notice The Uniswap V3 Factory facilitates creation of Uniswap V3 pools and control over the protocol fees
interface IUniswapV3Factory {
    /// @notice Emitted when the owner of the factory is changed
    /// @param oldOwner The owner before the owner was changed
    /// @param newOwner The owner after the owner was changed
    event OwnerChanged(address indexed oldOwner, address indexed newOwner);
    /// @notice Emitted when a pool is created
    /// @param token0 The first token of the pool by address sort order
    /// @param token1 The second token of the pool by address sort order
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks
    /// @param pool The address of the created pool
    event PoolCreated(
        address indexed token0,
        address indexed token1,
        uint24 indexed fee,
        int24 tickSpacing,
        address pool
    );
    /// @notice Emitted when a new fee amount is enabled for pool creation via the factory
    /// @param fee The enabled fee, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks for pools created with the given fee
    event FeeAmountEnabled(uint24 indexed fee, int24 indexed tickSpacing);
    /// @notice Returns the current owner of the factory
    /// @dev Can be changed by the current owner via setOwner
    /// @return The address of the factory owner
    function owner() external view returns (address);
    /// @notice Returns the tick spacing for a given fee amount, if enabled, or 0 if not enabled
    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
    /// @return The tick spacing
    function feeAmountTickSpacing(uint24 fee) external view returns (int24);
    /// @notice Returns the pool address for a given pair of tokens and a fee, or address 0 if it does not exist
    /// @dev tokenA and tokenB may be passed in either token0/token1 or token1/token0 order
    /// @param tokenA The contract address of either token0 or token1
    /// @param tokenB The contract address of the other token
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @return pool The pool address
    function getPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external view returns (address pool);
    /// @notice Creates a pool for the given two tokens and fee
    /// @param tokenA One of the two tokens in the desired pool
    /// @param tokenB The other of the two tokens in the desired pool
    /// @param fee The desired fee for the pool
    /// @dev tokenA and tokenB may be passed in either order: token0/token1 or token1/token0. tickSpacing is retrieved
    /// from the fee. The call will revert if the pool already exists, the fee is invalid, or the token arguments
    /// are invalid.
    /// @return pool The address of the newly created pool
    function createPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external returns (address pool);
    /// @notice Updates the owner of the factory
    /// @dev Must be called by the current owner
    /// @param _owner The new owner of the factory
    function setOwner(address _owner) external;
    /// @notice Enables a fee amount with the given tickSpacing
    /// @dev Fee amounts may never be removed once enabled
    /// @param fee The fee amount to enable, denominated in hundredths of a bip (i.e. 1e-6)
    /// @param tickSpacing The spacing between ticks to be enforced for all pools created with the given fee amount
    function enableFeeAmount(uint24 fee, int24 tickSpacing) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Minimal ERC20 interface for Uniswap
/// @notice Contains a subset of the full ERC20 interface that is used in Uniswap V3
interface IERC20Minimal {
    /// @notice Returns the balance of a token
    /// @param account The account for which to look up the number of tokens it has, i.e. its balance
    /// @return The number of tokens held by the account
    function balanceOf(address account) external view returns (uint256);
    /// @notice Transfers the amount of token from the `msg.sender` to the recipient
    /// @param recipient The account that will receive the amount transferred
    /// @param amount The number of tokens to send from the sender to the recipient
    /// @return Returns true for a successful transfer, false for an unsuccessful transfer
    function transfer(address recipient, uint256 amount) external returns (bool);
    /// @notice Returns the current allowance given to a spender by an owner
    /// @param owner The account of the token owner
    /// @param spender The account of the token spender
    /// @return The current allowance granted by `owner` to `spender`
    function allowance(address owner, address spender) external view returns (uint256);
    /// @notice Sets the allowance of a spender from the `msg.sender` to the value `amount`
    /// @param spender The account which will be allowed to spend a given amount of the owners tokens
    /// @param amount The amount of tokens allowed to be used by `spender`
    /// @return Returns true for a successful approval, false for unsuccessful
    function approve(address spender, uint256 amount) external returns (bool);
    /// @notice Transfers `amount` tokens from `sender` to `recipient` up to the allowance given to the `msg.sender`
    /// @param sender The account from which the transfer will be initiated
    /// @param recipient The recipient of the transfer
    /// @param amount The amount of the transfer
    /// @return Returns true for a successful transfer, false for unsuccessful
    function transferFrom(
        address sender,
        address recipient,
        uint256 amount
    ) external returns (bool);
    /// @notice Event emitted when tokens are transferred from one address to another, either via `#transfer` or `#transferFrom`.
    /// @param from The account from which the tokens were sent, i.e. the balance decreased
    /// @param to The account to which the tokens were sent, i.e. the balance increased
    /// @param value The amount of tokens that were transferred
    event Transfer(address indexed from, address indexed to, uint256 value);
    /// @notice Event emitted when the approval amount for the spender of a given owner's tokens changes.
    /// @param owner The account that approved spending of its tokens
    /// @param spender The account for which the spending allowance was modified
    /// @param value The new allowance from the owner to the spender
    event Approval(address indexed owner, address indexed spender, uint256 value);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IUniswapV3PoolActions#mint
/// @notice Any contract that calls IUniswapV3PoolActions#mint must implement this interface
interface IUniswapV3MintCallback {
    /// @notice Called to `msg.sender` after minting liquidity to a position from IUniswapV3Pool#mint.
    /// @dev In the implementation you must pay the pool tokens owed for the minted liquidity.
    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
    /// @param amount0Owed The amount of token0 due to the pool for the minted liquidity
    /// @param amount1Owed The amount of token1 due to the pool for the minted liquidity
    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#mint call
    function uniswapV3MintCallback(
        uint256 amount0Owed,
        uint256 amount1Owed,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IUniswapV3PoolActions#swap
/// @notice Any contract that calls IUniswapV3PoolActions#swap must implement this interface
interface IUniswapV3SwapCallback {
    /// @notice Called to `msg.sender` after executing a swap via IUniswapV3Pool#swap.
    /// @dev In the implementation you must pay the pool tokens owed for the swap.
    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
    /// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
    /// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
    /// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#swap call
    function uniswapV3SwapCallback(
        int256 amount0Delta,
        int256 amount1Delta,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IUniswapV3PoolActions#flash
/// @notice Any contract that calls IUniswapV3PoolActions#flash must implement this interface
interface IUniswapV3FlashCallback {
    /// @notice Called to `msg.sender` after transferring to the recipient from IUniswapV3Pool#flash.
    /// @dev In the implementation you must repay the pool the tokens sent by flash plus the computed fee amounts.
    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
    /// @param fee0 The fee amount in token0 due to the pool by the end of the flash
    /// @param fee1 The fee amount in token1 due to the pool by the end of the flash
    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#flash call
    function uniswapV3FlashCallback(
        uint256 fee0,
        uint256 fee1,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that never changes
/// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
interface IUniswapV3PoolImmutables {
    /// @notice The contract that deployed the pool, which must adhere to the IUniswapV3Factory interface
    /// @return The contract address
    function factory() external view returns (address);
    /// @notice The first of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token0() external view returns (address);
    /// @notice The second of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token1() external view returns (address);
    /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
    /// @return The fee
    function fee() external view returns (uint24);
    /// @notice The pool tick spacing
    /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
    /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
    /// This value is an int24 to avoid casting even though it is always positive.
    /// @return The tick spacing
    function tickSpacing() external view returns (int24);
    /// @notice The maximum amount of position liquidity that can use any tick in the range
    /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
    /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
    /// @return The max amount of liquidity per tick
    function maxLiquidityPerTick() external view returns (uint128);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that can change
/// @notice These methods compose the pool's state, and can change with any frequency including multiple times
/// per transaction
interface IUniswapV3PoolState {
    /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
    /// when accessed externally.
    /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
    /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
    /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
    /// boundary.
    /// observationIndex The index of the last oracle observation that was written,
    /// observationCardinality The current maximum number of observations stored in the pool,
    /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
    /// feeProtocol The protocol fee for both tokens of the pool.
    /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
    /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
    /// unlocked Whether the pool is currently locked to reentrancy
    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            uint8 feeProtocol,
            bool unlocked
        );
    /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal0X128() external view returns (uint256);
    /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal1X128() external view returns (uint256);
    /// @notice The amounts of token0 and token1 that are owed to the protocol
    /// @dev Protocol fees will never exceed uint128 max in either token
    function protocolFees() external view returns (uint128 token0, uint128 token1);
    /// @notice The currently in range liquidity available to the pool
    /// @dev This value has no relationship to the total liquidity across all ticks
    function liquidity() external view returns (uint128);
    /// @notice Look up information about a specific tick in the pool
    /// @param tick The tick to look up
    /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
    /// tick upper,
    /// liquidityNet how much liquidity changes when the pool price crosses the tick,
    /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
    /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
    /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
    /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
    /// secondsOutside the seconds spent on the other side of the tick from the current tick,
    /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
    /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
    /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
    /// a specific position.
    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );
    /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
    function tickBitmap(int16 wordPosition) external view returns (uint256);
    /// @notice Returns the information about a position by the position's key
    /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
    /// @return _liquidity The amount of liquidity in the position,
    /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
    /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
    /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
    /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
    function positions(bytes32 key)
        external
        view
        returns (
            uint128 _liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );
    /// @notice Returns data about a specific observation index
    /// @param index The element of the observations array to fetch
    /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
    /// ago, rather than at a specific index in the array.
    /// @return blockTimestamp The timestamp of the observation,
    /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
    /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
    /// Returns initialized whether the observation has been initialized and the values are safe to use
    function observations(uint256 index)
        external
        view
        returns (
            uint32 blockTimestamp,
            int56 tickCumulative,
            uint160 secondsPerLiquidityCumulativeX128,
            bool initialized
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that is not stored
/// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
/// blockchain. The functions here may have variable gas costs.
interface IUniswapV3PoolDerivedState {
    /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
    /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
    /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
    /// you must call it with secondsAgos = [3600, 0].
    /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
    /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
    /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
    /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
    /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
    /// timestamp
    function observe(uint32[] calldata secondsAgos)
        external
        view
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
    /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
    /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
    /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
    /// snapshot is taken and the second snapshot is taken.
    /// @param tickLower The lower tick of the range
    /// @param tickUpper The upper tick of the range
    /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
    /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
    /// @return secondsInside The snapshot of seconds per liquidity for the range
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissionless pool actions
/// @notice Contains pool methods that can be called by anyone
interface IUniswapV3PoolActions {
    /// @notice Sets the initial price for the pool
    /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
    /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
    function initialize(uint160 sqrtPriceX96) external;
    /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
    /// @dev The caller of this method receives a callback in the form of IUniswapV3MintCallback#uniswapV3MintCallback
    /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
    /// on tickLower, tickUpper, the amount of liquidity, and the current price.
    /// @param recipient The address for which the liquidity will be created
    /// @param tickLower The lower tick of the position in which to add liquidity
    /// @param tickUpper The upper tick of the position in which to add liquidity
    /// @param amount The amount of liquidity to mint
    /// @param data Any data that should be passed through to the callback
    /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
    /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Collects tokens owed to a position
    /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
    /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
    /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
    /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
    /// @param recipient The address which should receive the fees collected
    /// @param tickLower The lower tick of the position for which to collect fees
    /// @param tickUpper The upper tick of the position for which to collect fees
    /// @param amount0Requested How much token0 should be withdrawn from the fees owed
    /// @param amount1Requested How much token1 should be withdrawn from the fees owed
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
    /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
    /// @dev Fees must be collected separately via a call to #collect
    /// @param tickLower The lower tick of the position for which to burn liquidity
    /// @param tickUpper The upper tick of the position for which to burn liquidity
    /// @param amount How much liquidity to burn
    /// @return amount0 The amount of token0 sent to the recipient
    /// @return amount1 The amount of token1 sent to the recipient
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Swap token0 for token1, or token1 for token0
    /// @dev The caller of this method receives a callback in the form of IUniswapV3SwapCallback#uniswapV3SwapCallback
    /// @param recipient The address to receive the output of the swap
    /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
    /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
    /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @param data Any data to be passed through to the callback
    /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
    /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);
    /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
    /// @dev The caller of this method receives a callback in the form of IUniswapV3FlashCallback#uniswapV3FlashCallback
    /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
    /// with 0 amount{0,1} and sending the donation amount(s) from the callback
    /// @param recipient The address which will receive the token0 and token1 amounts
    /// @param amount0 The amount of token0 to send
    /// @param amount1 The amount of token1 to send
    /// @param data Any data to be passed through to the callback
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;
    /// @notice Increase the maximum number of price and liquidity observations that this pool will store
    /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
    /// the input observationCardinalityNext.
    /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissioned pool actions
/// @notice Contains pool methods that may only be called by the factory owner
interface IUniswapV3PoolOwnerActions {
    /// @notice Set the denominator of the protocol's % share of the fees
    /// @param feeProtocol0 new protocol fee for token0 of the pool
    /// @param feeProtocol1 new protocol fee for token1 of the pool
    function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external;
    /// @notice Collect the protocol fee accrued to the pool
    /// @param recipient The address to which collected protocol fees should be sent
    /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
    /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
    /// @return amount0 The protocol fee collected in token0
    /// @return amount1 The protocol fee collected in token1
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Events emitted by a pool
/// @notice Contains all events emitted by the pool
interface IUniswapV3PoolEvents {
    /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
    /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
    /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
    /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
    event Initialize(uint160 sqrtPriceX96, int24 tick);
    /// @notice Emitted when liquidity is minted for a given position
    /// @param sender The address that minted the liquidity
    /// @param owner The owner of the position and recipient of any minted liquidity
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity minted to the position range
    /// @param amount0 How much token0 was required for the minted liquidity
    /// @param amount1 How much token1 was required for the minted liquidity
    event Mint(
        address sender,
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted when fees are collected by the owner of a position
    /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
    /// @param owner The owner of the position for which fees are collected
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount0 The amount of token0 fees collected
    /// @param amount1 The amount of token1 fees collected
    event Collect(
        address indexed owner,
        address recipient,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount0,
        uint128 amount1
    );
    /// @notice Emitted when a position's liquidity is removed
    /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
    /// @param owner The owner of the position for which liquidity is removed
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity to remove
    /// @param amount0 The amount of token0 withdrawn
    /// @param amount1 The amount of token1 withdrawn
    event Burn(
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted by the pool for any swaps between token0 and token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the output of the swap
    /// @param amount0 The delta of the token0 balance of the pool
    /// @param amount1 The delta of the token1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of price of the pool after the swap
    event Swap(
        address indexed sender,
        address indexed recipient,
        int256 amount0,
        int256 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick
    );
    /// @notice Emitted by the pool for any flashes of token0/token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the tokens from flash
    /// @param amount0 The amount of token0 that was flashed
    /// @param amount1 The amount of token1 that was flashed
    /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
    /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
    event Flash(
        address indexed sender,
        address indexed recipient,
        uint256 amount0,
        uint256 amount1,
        uint256 paid0,
        uint256 paid1
    );
    /// @notice Emitted by the pool for increases to the number of observations that can be stored
    /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
    /// just before a mint/swap/burn.
    /// @param observationCardinalityNextOld The previous value of the next observation cardinality
    /// @param observationCardinalityNextNew The updated value of the next observation cardinality
    event IncreaseObservationCardinalityNext(
        uint16 observationCardinalityNextOld,
        uint16 observationCardinalityNextNew
    );
    /// @notice Emitted when the protocol fee is changed by the pool
    /// @param feeProtocol0Old The previous value of the token0 protocol fee
    /// @param feeProtocol1Old The previous value of the token1 protocol fee
    /// @param feeProtocol0New The updated value of the token0 protocol fee
    /// @param feeProtocol1New The updated value of the token1 protocol fee
    event SetFeeProtocol(uint8 feeProtocol0Old, uint8 feeProtocol1Old, uint8 feeProtocol0New, uint8 feeProtocol1New);
    /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
    /// @param sender The address that collects the protocol fees
    /// @param recipient The address that receives the collected protocol fees
    /// @param amount0 The amount of token0 protocol fees that is withdrawn
    /// @param amount0 The amount of token1 protocol fees that is withdrawn
    event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title BitMath
/// @dev This library provides functionality for computing bit properties of an unsigned integer
library BitMath {
    /// @notice Returns the index of the most significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     x >= 2**mostSignificantBit(x) and x < 2**(mostSignificantBit(x)+1)
    /// @param x the value for which to compute the most significant bit, must be greater than 0
    /// @return r the index of the most significant bit
    function mostSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        if (x >= 0x100000000000000000000000000000000) {
            x >>= 128;
            r += 128;
        }
        if (x >= 0x10000000000000000) {
            x >>= 64;
            r += 64;
        }
        if (x >= 0x100000000) {
            x >>= 32;
            r += 32;
        }
        if (x >= 0x10000) {
            x >>= 16;
            r += 16;
        }
        if (x >= 0x100) {
            x >>= 8;
            r += 8;
        }
        if (x >= 0x10) {
            x >>= 4;
            r += 4;
        }
        if (x >= 0x4) {
            x >>= 2;
            r += 2;
        }
        if (x >= 0x2) r += 1;
    }
    /// @notice Returns the index of the least significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     (x & 2**leastSignificantBit(x)) != 0 and (x & (2**(leastSignificantBit(x)) - 1)) == 0)
    /// @param x the value for which to compute the least significant bit, must be greater than 0
    /// @return r the index of the least significant bit
    function leastSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        r = 255;
        if (x & type(uint128).max > 0) {
            r -= 128;
        } else {
            x >>= 128;
        }
        if (x & type(uint64).max > 0) {
            r -= 64;
        } else {
            x >>= 64;
        }
        if (x & type(uint32).max > 0) {
            r -= 32;
        } else {
            x >>= 32;
        }
        if (x & type(uint16).max > 0) {
            r -= 16;
        } else {
            x >>= 16;
        }
        if (x & type(uint8).max > 0) {
            r -= 8;
        } else {
            x >>= 8;
        }
        if (x & 0xf > 0) {
            r -= 4;
        } else {
            x >>= 4;
        }
        if (x & 0x3 > 0) {
            r -= 2;
        } else {
            x >>= 2;
        }
        if (x & 0x1 > 0) r -= 1;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math functions that do not check inputs or outputs
/// @notice Contains methods that perform common math functions but do not do any overflow or underflow checks
library UnsafeMath {
    /// @notice Returns ceil(x / y)
    /// @dev division by 0 has unspecified behavior, and must be checked externally
    /// @param x The dividend
    /// @param y The divisor
    /// @return z The quotient, ceil(x / y)
    function divRoundingUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
        assembly {
            z := add(div(x, y), gt(mod(x, y), 0))
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0;
/// @title FixedPoint96
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
/// @dev Used in SqrtPriceMath.sol
library FixedPoint96 {
    uint8 internal constant RESOLUTION = 96;
    uint256 internal constant Q96 = 0x1000000000000000000000000;
}

// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
interface IPancakeV3LmPool {
  function accumulateReward(uint32 currTimestamp) external;
  function crossLmTick(int24 tick, bool zeroForOne) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IPancakeV3PoolActions#flash
/// @notice Any contract that calls IPancakeV3PoolActions#flash must implement this interface
interface IPancakeV3FlashCallback {
    /// @notice Called to `msg.sender` after transferring to the recipient from IPancakeV3Pool#flash.
    /// @dev In the implementation you must repay the pool the tokens sent by flash plus the computed fee amounts.
    /// The caller of this method must be checked to be a PancakeV3Pool deployed by the canonical PancakeV3Factory.
    /// @param fee0 The fee amount in token0 due to the pool by the end of the flash
    /// @param fee1 The fee amount in token1 due to the pool by the end of the flash
    /// @param data Any data passed through by the caller via the IPancakeV3PoolActions#flash call
    function pancakeV3FlashCallback(
        uint256 fee0,
        uint256 fee1,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IPancakeV3PoolActions#mint
/// @notice Any contract that calls IPancakeV3PoolActions#mint must implement this interface
interface IPancakeV3MintCallback {
    /// @notice Called to `msg.sender` after minting liquidity to a position from IPancakeV3Pool#mint.
    /// @dev In the implementation you must pay the pool tokens owed for the minted liquidity.
    /// The caller of this method must be checked to be a PancakeV3Pool deployed by the canonical PancakeV3Factory.
    /// @param amount0Owed The amount of token0 due to the pool for the minted liquidity
    /// @param amount1Owed The amount of token1 due to the pool for the minted liquidity
    /// @param data Any data passed through by the caller via the IPancakeV3PoolActions#mint call
    function pancakeV3MintCallback(
        uint256 amount0Owed,
        uint256 amount1Owed,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IPancakeV3PoolActions#swap
/// @notice Any contract that calls IPancakeV3PoolActions#swap must implement this interface
interface IPancakeV3SwapCallback {
    /// @notice Called to `msg.sender` after executing a swap via IPancakeV3Pool#swap.
    /// @dev In the implementation you must pay the pool tokens owed for the swap.
    /// The caller of this method must be checked to be a PancakeV3Pool deployed by the canonical PancakeV3Factory.
    /// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
    /// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
    /// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
    /// @param data Any data passed through by the caller via the IPancakeV3PoolActions#swap call
    function pancakeV3SwapCallback(
        int256 amount0Delta,
        int256 amount1Delta,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Minimal ERC20 interface for PancakeSwap
/// @notice Contains a subset of the full ERC20 interface that is used in PancakeSwap V3
interface IERC20Minimal {
    /// @notice Returns the balance of a token
    /// @param account The account for which to look up the number of tokens it has, i.e. its balance
    /// @return The number of tokens held by the account
    function balanceOf(address account) external view returns (uint256);
    /// @notice Transfers the amount of token from the `msg.sender` to the recipient
    /// @param recipient The account that will receive the amount transferred
    /// @param amount The number of tokens to send from the sender to the recipient
    /// @return Returns true for a successful transfer, false for an unsuccessful transfer
    function transfer(address recipient, uint256 amount) external returns (bool);
    /// @notice Returns the current allowance given to a spender by an owner
    /// @param owner The account of the token owner
    /// @param spender The account of the token spender
    /// @return The current allowance granted by `owner` to `spender`
    function allowance(address owner, address spender) external view returns (uint256);
    /// @notice Sets the allowance of a spender from the `msg.sender` to the value `amount`
    /// @param spender The account which will be allowed to spend a given amount of the owners tokens
    /// @param amount The amount of tokens allowed to be used by `spender`
    /// @return Returns true for a successful approval, false for unsuccessful
    function approve(address spender, uint256 amount) external returns (bool);
    /// @notice Transfers `amount` tokens from `sender` to `recipient` up to the allowance given to the `msg.sender`
    /// @param sender The account from which the transfer will be initiated
    /// @param recipient The recipient of the transfer
    /// @param amount The amount of the transfer
    /// @return Returns true for a successful transfer, false for unsuccessful
    function transferFrom(
        address sender,
        address recipient,
        uint256 amount
    ) external returns (bool);
    /// @notice Event emitted when tokens are transferred from one address to another, either via `#transfer` or `#transferFrom`.
    /// @param from The account from which the tokens were sent, i.e. the balance decreased
    /// @param to The account to which the tokens were sent, i.e. the balance increased
    /// @param value The amount of tokens that were transferred
    event Transfer(address indexed from, address indexed to, uint256 value);
    /// @notice Event emitted when the approval amount for the spender of a given owner's tokens changes.
    /// @param owner The account that approved spending of its tokens
    /// @param spender The account for which the spending allowance was modified
    /// @param value The new allowance from the owner to the spender
    event Approval(address indexed owner, address indexed spender, uint256 value);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title The interface for the PancakeSwap V3 Factory
/// @notice The PancakeSwap V3 Factory facilitates creation of PancakeSwap V3 pools and control over the protocol fees
interface IPancakeV3Factory {
    struct TickSpacingExtraInfo {
        bool whitelistRequested;
        bool enabled;
    }
    /// @notice Emitted when the owner of the factory is changed
    /// @param oldOwner The owner before the owner was changed
    /// @param newOwner The owner after the owner was changed
    event OwnerChanged(address indexed oldOwner, address indexed newOwner);
    /// @notice Emitted when a pool is created
    /// @param token0 The first token of the pool by address sort order
    /// @param token1 The second token of the pool by address sort order
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks
    /// @param pool The address of the created pool
    event PoolCreated(
        address indexed token0,
        address indexed token1,
        uint24 indexed fee,
        int24 tickSpacing,
        address pool
    );
    /// @notice Emitted when a new fee amount is enabled for pool creation via the factory
    /// @param fee The enabled fee, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks for pools created with the given fee
    event FeeAmountEnabled(uint24 indexed fee, int24 indexed tickSpacing);
    event FeeAmountExtraInfoUpdated(uint24 indexed fee, bool whitelistRequested, bool enabled);
    event WhiteListAdded(address indexed user, bool verified);
    /// @notice Emitted when LM pool deployer is set
    event SetLmPoolDeployer(address indexed lmPoolDeployer);
    /// @notice Returns the current owner of the factory
    /// @dev Can be changed by the current owner via setOwner
    /// @return The address of the factory owner
    function owner() external view returns (address);
    /// @notice Returns the tick spacing for a given fee amount, if enabled, or 0 if not enabled
    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
    /// @return The tick spacing
    function feeAmountTickSpacing(uint24 fee) external view returns (int24);
    /// @notice Returns the tick spacing extra info
    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
    /// @return whitelistRequested The flag whether should be created by white list users only
    function feeAmountTickSpacingExtraInfo(uint24 fee) external view returns (bool whitelistRequested, bool enabled);
    /// @notice Returns the pool address for a given pair of tokens and a fee, or address 0 if it does not exist
    /// @dev tokenA and tokenB may be passed in either token0/token1 or token1/token0 order
    /// @param tokenA The contract address of either token0 or token1
    /// @param tokenB The contract address of the other token
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @return pool The pool address
    function getPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external view returns (address pool);
    /// @notice Creates a pool for the given two tokens and fee
    /// @param tokenA One of the two tokens in the desired pool
    /// @param tokenB The other of the two tokens in the desired pool
    /// @param fee The desired fee for the pool
    /// @dev tokenA and tokenB may be passed in either order: token0/token1 or token1/token0. tickSpacing is retrieved
    /// from the fee. The call will revert if the pool already exists, the fee is invalid, or the token arguments
    /// are invalid.
    /// @return pool The address of the newly created pool
    function createPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external returns (address pool);
    /// @notice Updates the owner of the factory
    /// @dev Must be called by the current owner
    /// @param _owner The new owner of the factory
    function setOwner(address _owner) external;
    /// @notice Enables a fee amount with the given tickSpacing
    /// @dev Fee amounts may never be removed once enabled
    /// @param fee The fee amount to enable, denominated in hundredths of a bip (i.e. 1e-6)
    /// @param tickSpacing The spacing between ticks to be enforced for all pools created with the given fee amount
    function enableFeeAmount(uint24 fee, int24 tickSpacing) external;
    /// @notice Set an address into white list
    /// @dev Address can be updated by owner with boolean value false
    /// @param user The user address that add into white list
    function setWhiteListAddress(address user, bool verified) external;
    /// @notice Set a fee amount extra info
    /// @dev Fee amounts can be updated by owner with extra info
    /// @param whitelistRequested The flag whether should be created by owner only
    /// @param enabled The flag is the fee is enabled or not
    function setFeeAmountExtraInfo(
        uint24 fee,
        bool whitelistRequested,
        bool enabled
    ) external;
    function setLmPoolDeployer(address _lmPoolDeployer) external;
    function setFeeProtocol(address pool, uint32 feeProtocol0, uint32 feeProtocol1) external;
    function collectProtocol(
        address pool,
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    function setLmPool(address pool, address lmPool) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './pool/IPancakeV3PoolImmutables.sol';
import './pool/IPancakeV3PoolState.sol';
import './pool/IPancakeV3PoolDerivedState.sol';
import './pool/IPancakeV3PoolActions.sol';
import './pool/IPancakeV3PoolOwnerActions.sol';
import './pool/IPancakeV3PoolEvents.sol';
/// @title The interface for a PancakeSwap V3 Pool
/// @notice A PancakeSwap pool facilitates swapping and automated market making between any two assets that strictly conform
/// to the ERC20 specification
/// @dev The pool interface is broken up into many smaller pieces
interface IPancakeV3Pool is
    IPancakeV3PoolImmutables,
    IPancakeV3PoolState,
    IPancakeV3PoolDerivedState,
    IPancakeV3PoolActions,
    IPancakeV3PoolOwnerActions,
    IPancakeV3PoolEvents
{
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title An interface for a contract that is capable of deploying PancakeSwap V3 Pools
/// @notice A contract that constructs a pool must implement this to pass arguments to the pool
/// @dev This is used to avoid having constructor arguments in the pool contract, which results in the init code hash
/// of the pool being constant allowing the CREATE2 address of the pool to be cheaply computed on-chain
interface IPancakeV3PoolDeployer {
    /// @notice Get the parameters to be used in constructing the pool, set transiently during pool creation.
    /// @dev Called by the pool constructor to fetch the parameters of the pool
    /// Returns factory The factory address
    /// Returns token0 The first token of the pool by address sort order
    /// Returns token1 The second token of the pool by address sort order
    /// Returns fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// Returns tickSpacing The minimum number of ticks between initialized ticks
    function parameters()
        external
        view
        returns (
            address factory,
            address token0,
            address token1,
            uint24 fee,
            int24 tickSpacing
        );
    function deploy(
        address factory,
        address token0,
        address token1,
        uint24 fee,
        int24 tickSpacing
    ) external returns (address pool);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissionless pool actions
/// @notice Contains pool methods that can be called by anyone
interface IPancakeV3PoolActions {
    /// @notice Sets the initial price for the pool
    /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
    /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
    function initialize(uint160 sqrtPriceX96) external;
    /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
    /// @dev The caller of this method receives a callback in the form of IPancakeV3MintCallback#pancakeV3MintCallback
    /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
    /// on tickLower, tickUpper, the amount of liquidity, and the current price.
    /// @param recipient The address for which the liquidity will be created
    /// @param tickLower The lower tick of the position in which to add liquidity
    /// @param tickUpper The upper tick of the position in which to add liquidity
    /// @param amount The amount of liquidity to mint
    /// @param data Any data that should be passed through to the callback
    /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
    /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Collects tokens owed to a position
    /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
    /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
    /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
    /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
    /// @param recipient The address which should receive the fees collected
    /// @param tickLower The lower tick of the position for which to collect fees
    /// @param tickUpper The upper tick of the position for which to collect fees
    /// @param amount0Requested How much token0 should be withdrawn from the fees owed
    /// @param amount1Requested How much token1 should be withdrawn from the fees owed
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
    /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
    /// @dev Fees must be collected separately via a call to #collect
    /// @param tickLower The lower tick of the position for which to burn liquidity
    /// @param tickUpper The upper tick of the position for which to burn liquidity
    /// @param amount How much liquidity to burn
    /// @return amount0 The amount of token0 sent to the recipient
    /// @return amount1 The amount of token1 sent to the recipient
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Swap token0 for token1, or token1 for token0
    /// @dev The caller of this method receives a callback in the form of IPancakeV3SwapCallback#pancakeV3SwapCallback
    /// @param recipient The address to receive the output of the swap
    /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
    /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
    /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @param data Any data to be passed through to the callback
    /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
    /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);
    /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
    /// @dev The caller of this method receives a callback in the form of IPancakeV3FlashCallback#pancakeV3FlashCallback
    /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
    /// with 0 amount{0,1} and sending the donation amount(s) from the callback
    /// @param recipient The address which will receive the token0 and token1 amounts
    /// @param amount0 The amount of token0 to send
    /// @param amount1 The amount of token1 to send
    /// @param data Any data to be passed through to the callback
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;
    /// @notice Increase the maximum number of price and liquidity observations that this pool will store
    /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
    /// the input observationCardinalityNext.
    /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that is not stored
/// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
/// blockchain. The functions here may have variable gas costs.
interface IPancakeV3PoolDerivedState {
    /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
    /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
    /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
    /// you must call it with secondsAgos = [3600, 0].
    /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
    /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
    /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
    /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
    /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
    /// timestamp
    function observe(uint32[] calldata secondsAgos)
        external
        view
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
    /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
    /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
    /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
    /// snapshot is taken and the second snapshot is taken.
    /// @param tickLower The lower tick of the range
    /// @param tickUpper The upper tick of the range
    /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
    /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
    /// @return secondsInside The snapshot of seconds per liquidity for the range
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Events emitted by a pool
/// @notice Contains all events emitted by the pool
interface IPancakeV3PoolEvents {
    /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
    /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
    /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
    /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
    event Initialize(uint160 sqrtPriceX96, int24 tick);
    /// @notice Emitted when liquidity is minted for a given position
    /// @param sender The address that minted the liquidity
    /// @param owner The owner of the position and recipient of any minted liquidity
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity minted to the position range
    /// @param amount0 How much token0 was required for the minted liquidity
    /// @param amount1 How much token1 was required for the minted liquidity
    event Mint(
        address sender,
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted when fees are collected by the owner of a position
    /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
    /// @param owner The owner of the position for which fees are collected
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount0 The amount of token0 fees collected
    /// @param amount1 The amount of token1 fees collected
    event Collect(
        address indexed owner,
        address recipient,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount0,
        uint128 amount1
    );
    /// @notice Emitted when a position's liquidity is removed
    /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
    /// @param owner The owner of the position for which liquidity is removed
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity to remove
    /// @param amount0 The amount of token0 withdrawn
    /// @param amount1 The amount of token1 withdrawn
    event Burn(
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted by the pool for any swaps between token0 and token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the output of the swap
    /// @param amount0 The delta of the token0 balance of the pool
    /// @param amount1 The delta of the token1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of price of the pool after the swap
    /// @param protocolFeesToken0 The protocol fee of token0 in the swap
    /// @param protocolFeesToken1 The protocol fee of token1 in the swap
    event Swap(
        address indexed sender,
        address indexed recipient,
        int256 amount0,
        int256 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick,
        uint128 protocolFeesToken0,
        uint128 protocolFeesToken1
    );
    /// @notice Emitted by the pool for any flashes of token0/token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the tokens from flash
    /// @param amount0 The amount of token0 that was flashed
    /// @param amount1 The amount of token1 that was flashed
    /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
    /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
    event Flash(
        address indexed sender,
        address indexed recipient,
        uint256 amount0,
        uint256 amount1,
        uint256 paid0,
        uint256 paid1
    );
    /// @notice Emitted by the pool for increases to the number of observations that can be stored
    /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
    /// just before a mint/swap/burn.
    /// @param observationCardinalityNextOld The previous value of the next observation cardinality
    /// @param observationCardinalityNextNew The updated value of the next observation cardinality
    event IncreaseObservationCardinalityNext(
        uint16 observationCardinalityNextOld,
        uint16 observationCardinalityNextNew
    );
    /// @notice Emitted when the protocol fee is changed by the pool
    /// @param feeProtocol0Old The previous value of the token0 protocol fee
    /// @param feeProtocol1Old The previous value of the token1 protocol fee
    /// @param feeProtocol0New The updated value of the token0 protocol fee
    /// @param feeProtocol1New The updated value of the token1 protocol fee
    event SetFeeProtocol(
        uint32 feeProtocol0Old,
        uint32 feeProtocol1Old,
        uint32 feeProtocol0New,
        uint32 feeProtocol1New
    );
    /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
    /// @param sender The address that collects the protocol fees
    /// @param recipient The address that receives the collected protocol fees
    /// @param amount0 The amount of token0 protocol fees that is withdrawn
    /// @param amount0 The amount of token1 protocol fees that is withdrawn
    event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that never changes
/// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
interface IPancakeV3PoolImmutables {
    /// @notice The contract that deployed the pool, which must adhere to the IPancakeV3Factory interface
    /// @return The contract address
    function factory() external view returns (address);
    /// @notice The first of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token0() external view returns (address);
    /// @notice The second of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token1() external view returns (address);
    /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
    /// @return The fee
    function fee() external view returns (uint24);
    /// @notice The pool tick spacing
    /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
    /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
    /// This value is an int24 to avoid casting even though it is always positive.
    /// @return The tick spacing
    function tickSpacing() external view returns (int24);
    /// @notice The maximum amount of position liquidity that can use any tick in the range
    /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
    /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
    /// @return The max amount of liquidity per tick
    function maxLiquidityPerTick() external view returns (uint128);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissioned pool actions
/// @notice Contains pool methods that may only be called by the factory owner
interface IPancakeV3PoolOwnerActions {
    /// @notice Set the denominator of the protocol's % share of the fees
    /// @param feeProtocol0 new protocol fee for token0 of the pool
    /// @param feeProtocol1 new protocol fee for token1 of the pool
    function setFeeProtocol(uint32 feeProtocol0, uint32 feeProtocol1) external;
    /// @notice Collect the protocol fee accrued to the pool
    /// @param recipient The address to which collected protocol fees should be sent
    /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
    /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
    /// @return amount0 The protocol fee collected in token0
    /// @return amount1 The protocol fee collected in token1
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Set the LM pool to enable liquidity mining
    function setLmPool(address lmPool) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that can change
/// @notice These methods compose the pool's state, and can change with any frequency including multiple times
/// per transaction
interface IPancakeV3PoolState {
    /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
    /// when accessed externally.
    /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
    /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
    /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
    /// boundary.
    /// observationIndex The index of the last oracle observation that was written,
    /// observationCardinality The current maximum number of observations stored in the pool,
    /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
    /// feeProtocol The protocol fee for both tokens of the pool.
    /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
    /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
    /// unlocked Whether the pool is currently locked to reentrancy
    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            uint32 feeProtocol,
            bool unlocked
        );
    /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal0X128() external view returns (uint256);
    /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal1X128() external view returns (uint256);
    /// @notice The amounts of token0 and token1 that are owed to the protocol
    /// @dev Protocol fees will never exceed uint128 max in either token
    function protocolFees() external view returns (uint128 token0, uint128 token1);
    /// @notice The currently in range liquidity available to the pool
    /// @dev This value has no relationship to the total liquidity across all ticks
    function liquidity() external view returns (uint128);
    /// @notice Look up information about a specific tick in the pool
    /// @param tick The tick to look up
    /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
    /// tick upper,
    /// liquidityNet how much liquidity changes when the pool price crosses the tick,
    /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
    /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
    /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
    /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
    /// secondsOutside the seconds spent on the other side of the tick from the current tick,
    /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
    /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
    /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
    /// a specific position.
    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );
    /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
    function tickBitmap(int16 wordPosition) external view returns (uint256);
    /// @notice Returns the information about a position by the position's key
    /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
    /// @return _liquidity The amount of liquidity in the position,
    /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
    /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
    /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
    /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
    function positions(bytes32 key)
        external
        view
        returns (
            uint128 _liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );
    /// @notice Returns data about a specific observation index
    /// @param index The element of the observations array to fetch
    /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
    /// ago, rather than at a specific index in the array.
    /// @return blockTimestamp The timestamp of the observation,
    /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
    /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
    /// Returns initialized whether the observation has been initialized and the values are safe to use
    function observations(uint256 index)
        external
        view
        returns (
            uint32 blockTimestamp,
            int56 tickCumulative,
            uint160 secondsPerLiquidityCumulativeX128,
            bool initialized
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title BitMath
/// @dev This library provides functionality for computing bit properties of an unsigned integer
library BitMath {
    /// @notice Returns the index of the most significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     x >= 2**mostSignificantBit(x) and x < 2**(mostSignificantBit(x)+1)
    /// @param x the value for which to compute the most significant bit, must be greater than 0
    /// @return r the index of the most significant bit
    function mostSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        if (x >= 0x100000000000000000000000000000000) {
            x >>= 128;
            r += 128;
        }
        if (x >= 0x10000000000000000) {
            x >>= 64;
            r += 64;
        }
        if (x >= 0x100000000) {
            x >>= 32;
            r += 32;
        }
        if (x >= 0x10000) {
            x >>= 16;
            r += 16;
        }
        if (x >= 0x100) {
            x >>= 8;
            r += 8;
        }
        if (x >= 0x10) {
            x >>= 4;
            r += 4;
        }
        if (x >= 0x4) {
            x >>= 2;
            r += 2;
        }
        if (x >= 0x2) r += 1;
    }
    /// @notice Returns the index of the least significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     (x & 2**leastSignificantBit(x)) != 0 and (x & (2**(leastSignificantBit(x)) - 1)) == 0)
    /// @param x the value for which to compute the least significant bit, must be greater than 0
    /// @return r the index of the least significant bit
    function leastSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        r = 255;
        if (x & type(uint128).max > 0) {
            r -= 128;
        } else {
            x >>= 128;
        }
        if (x & type(uint64).max > 0) {
            r -= 64;
        } else {
            x >>= 64;
        }
        if (x & type(uint32).max > 0) {
            r -= 32;
        } else {
            x >>= 32;
        }
        if (x & type(uint16).max > 0) {
            r -= 16;
        } else {
            x >>= 16;
        }
        if (x & type(uint8).max > 0) {
            r -= 8;
        } else {
            x >>= 8;
        }
        if (x & 0xf > 0) {
            r -= 4;
        } else {
            x >>= 4;
        }
        if (x & 0x3 > 0) {
            r -= 2;
        } else {
            x >>= 2;
        }
        if (x & 0x1 > 0) r -= 1;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0;
/// @title FixedPoint128
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
library FixedPoint128 {
    uint256 internal constant Q128 = 0x100000000000000000000000000000000;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0;
/// @title FixedPoint96
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
/// @dev Used in SqrtPriceMath.sol
library FixedPoint96 {
    uint8 internal constant RESOLUTION = 96;
    uint256 internal constant Q96 = 0x1000000000000000000000000;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0 <0.8.0;
/// @title Contains 512-bit math functions
/// @notice Facilitates multiplication and division that can have overflow of an intermediate value without any loss of precision
/// @dev Handles "phantom overflow" i.e., allows multiplication and division where an intermediate value overflows 256 bits
library FullMath {
    /// @notice Calculates floor(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
    function mulDiv(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        // 512-bit multiply [prod1 prod0] = a * b
        // Compute the product mod 2**256 and mod 2**256 - 1
        // then use the Chinese Remainder Theorem to reconstruct
        // the 512 bit result. The result is stored in two 256
        // variables such that product = prod1 * 2**256 + prod0
        uint256 prod0; // Least significant 256 bits of the product
        uint256 prod1; // Most significant 256 bits of the product
        assembly {
            let mm := mulmod(a, b, not(0))
            prod0 := mul(a, b)
            prod1 := sub(sub(mm, prod0), lt(mm, prod0))
        }
        // Handle non-overflow cases, 256 by 256 division
        if (prod1 == 0) {
            require(denominator > 0);
            assembly {
                result := div(prod0, denominator)
            }
            return result;
        }
        // Make sure the result is less than 2**256.
        // Also prevents denominator == 0
        require(denominator > prod1);
        ///////////////////////////////////////////////
        // 512 by 256 division.
        ///////////////////////////////////////////////
        // Make division exact by subtracting the remainder from [prod1 prod0]
        // Compute remainder using mulmod
        uint256 remainder;
        assembly {
            remainder := mulmod(a, b, denominator)
        }
        // Subtract 256 bit number from 512 bit number
        assembly {
            prod1 := sub(prod1, gt(remainder, prod0))
            prod0 := sub(prod0, remainder)
        }
        // Factor powers of two out of denominator
        // Compute largest power of two divisor of denominator.
        // Always >= 1.
        uint256 twos = -denominator & denominator;
        // Divide denominator by power of two
        assembly {
            denominator := div(denominator, twos)
        }
        // Divide [prod1 prod0] by the factors of two
        assembly {
            prod0 := div(prod0, twos)
        }
        // Shift in bits from prod1 into prod0. For this we need
        // to flip `twos` such that it is 2**256 / twos.
        // If twos is zero, then it becomes one
        assembly {
            twos := add(div(sub(0, twos), twos), 1)
        }
        prod0 |= prod1 * twos;
        // Invert denominator mod 2**256
        // Now that denominator is an odd number, it has an inverse
        // modulo 2**256 such that denominator * inv = 1 mod 2**256.
        // Compute the inverse by starting with a seed that is correct
        // correct for four bits. That is, denominator * inv = 1 mod 2**4
        uint256 inv = (3 * denominator) ^ 2;
        // Now use Newton-Raphson iteration to improve the precision.
        // Thanks to Hensel's lifting lemma, this also works in modular
        // arithmetic, doubling the correct bits in each step.
        inv *= 2 - denominator * inv; // inverse mod 2**8
        inv *= 2 - denominator * inv; // inverse mod 2**16
        inv *= 2 - denominator * inv; // inverse mod 2**32
        inv *= 2 - denominator * inv; // inverse mod 2**64
        inv *= 2 - denominator * inv; // inverse mod 2**128
        inv *= 2 - denominator * inv; // inverse mod 2**256
        // Because the division is now exact we can divide by multiplying
        // with the modular inverse of denominator. This will give us the
        // correct result modulo 2**256. Since the precoditions guarantee
        // that the outcome is less than 2**256, this is the final result.
        // We don't need to compute the high bits of the result and prod1
        // is no longer required.
        result = prod0 * inv;
        return result;
    }
    /// @notice Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    function mulDivRoundingUp(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        result = mulDiv(a, b, denominator);
        if (mulmod(a, b, denominator) > 0) {
            require(result < type(uint256).max);
            result++;
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math library for liquidity
library LiquidityMath {
    /// @notice Add a signed liquidity delta to liquidity and revert if it overflows or underflows
    /// @param x The liquidity before change
    /// @param y The delta by which liquidity should be changed
    /// @return z The liquidity delta
    function addDelta(uint128 x, int128 y) internal pure returns (uint128 z) {
        if (y < 0) {
            require((z = x - uint128(-y)) < x, 'LS');
        } else {
            require((z = x + uint128(y)) >= x, 'LA');
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.7.0;
/// @title Optimized overflow and underflow safe math operations
/// @notice Contains methods for doing math operations that revert on overflow or underflow for minimal gas cost
library LowGasSafeMath {
    /// @notice Returns x + y, reverts if sum overflows uint256
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x + y) >= x);
    }
    /// @notice Returns x - y, reverts if underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x - y) <= x);
    }
    /// @notice Returns x * y, reverts if overflows
    /// @param x The multiplicand
    /// @param y The multiplier
    /// @return z The product of x and y
    function mul(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require(x == 0 || (z = x * y) / x == y);
    }
    /// @notice Returns x + y, reverts if overflows or underflows
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x + y) >= x == (y >= 0));
    }
    /// @notice Returns x - y, reverts if overflows or underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x - y) <= x == (y >= 0));
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <0.8.0;
/// @title Oracle
/// @notice Provides price and liquidity data useful for a wide variety of system designs
/// @dev Instances of stored oracle data, "observations", are collected in the oracle array
/// Every pool is initialized with an oracle array length of 1. Anyone can pay the SSTOREs to increase the
/// maximum length of the oracle array. New slots will be added when the array is fully populated.
/// Observations are overwritten when the full length of the oracle array is populated.
/// The most recent observation is available, independent of the length of the oracle array, by passing 0 to observe()
library Oracle {
    struct Observation {
        // the block timestamp of the observation
        uint32 blockTimestamp;
        // the tick accumulator, i.e. tick * time elapsed since the pool was first initialized
        int56 tickCumulative;
        // the seconds per liquidity, i.e. seconds elapsed / max(1, liquidity) since the pool was first initialized
        uint160 secondsPerLiquidityCumulativeX128;
        // whether or not the observation is initialized
        bool initialized;
    }
    /// @notice Transforms a previous observation into a new observation, given the passage of time and the current tick and liquidity values
    /// @dev blockTimestamp _must_ be chronologically equal to or greater than last.blockTimestamp, safe for 0 or 1 overflows
    /// @param last The specified observation to be transformed
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @return Observation The newly populated observation
    function transform(
        Observation memory last,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity
    ) private pure returns (Observation memory) {
        uint32 delta = blockTimestamp - last.blockTimestamp;
        return
            Observation({
                blockTimestamp: blockTimestamp,
                tickCumulative: last.tickCumulative + int56(tick) * delta,
                secondsPerLiquidityCumulativeX128: last.secondsPerLiquidityCumulativeX128 +
                    ((uint160(delta) << 128) / (liquidity > 0 ? liquidity : 1)),
                initialized: true
            });
    }
    /// @notice Initialize the oracle array by writing the first slot. Called once for the lifecycle of the observations array
    /// @param self The stored oracle array
    /// @param time The time of the oracle initialization, via block.timestamp truncated to uint32
    /// @return cardinality The number of populated elements in the oracle array
    /// @return cardinalityNext The new length of the oracle array, independent of population
    function initialize(Observation[65535] storage self, uint32 time)
        internal
        returns (uint16 cardinality, uint16 cardinalityNext)
    {
        self[0] = Observation({
            blockTimestamp: time,
            tickCumulative: 0,
            secondsPerLiquidityCumulativeX128: 0,
            initialized: true
        });
        return (1, 1);
    }
    /// @notice Writes an oracle observation to the array
    /// @dev Writable at most once per block. Index represents the most recently written element. cardinality and index must be tracked externally.
    /// If the index is at the end of the allowable array length (according to cardinality), and the next cardinality
    /// is greater than the current one, cardinality may be increased. This restriction is created to preserve ordering.
    /// @param self The stored oracle array
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @param cardinality The number of populated elements in the oracle array
    /// @param cardinalityNext The new length of the oracle array, independent of population
    /// @return indexUpdated The new index of the most recently written element in the oracle array
    /// @return cardinalityUpdated The new cardinality of the oracle array
    function write(
        Observation[65535] storage self,
        uint16 index,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity,
        uint16 cardinality,
        uint16 cardinalityNext
    ) internal returns (uint16 indexUpdated, uint16 cardinalityUpdated) {
        Observation memory last = self[index];
        // early return if we've already written an observation this block
        if (last.blockTimestamp == blockTimestamp) return (index, cardinality);
        // if the conditions are right, we can bump the cardinality
        if (cardinalityNext > cardinality && index == (cardinality - 1)) {
            cardinalityUpdated = cardinalityNext;
        } else {
            cardinalityUpdated = cardinality;
        }
        indexUpdated = (index + 1) % cardinalityUpdated;
        self[indexUpdated] = transform(last, blockTimestamp, tick, liquidity);
    }
    /// @notice Prepares the oracle array to store up to `next` observations
    /// @param self The stored oracle array
    /// @param current The current next cardinality of the oracle array
    /// @param next The proposed next cardinality which will be populated in the oracle array
    /// @return next The next cardinality which will be populated in the oracle array
    function grow(
        Observation[65535] storage self,
        uint16 current,
        uint16 next
    ) internal returns (uint16) {
        require(current > 0, 'I');
        // no-op if the passed next value isn't greater than the current next value
        if (next <= current) return current;
        // store in each slot to prevent fresh SSTOREs in swaps
        // this data will not be used because the initialized boolean is still false
        for (uint16 i = current; i < next; i++) self[i].blockTimestamp = 1;
        return next;
    }
    /// @notice comparator for 32-bit timestamps
    /// @dev safe for 0 or 1 overflows, a and b _must_ be chronologically before or equal to time
    /// @param time A timestamp truncated to 32 bits
    /// @param a A comparison timestamp from which to determine the relative position of `time`
    /// @param b From which to determine the relative position of `time`
    /// @return bool Whether `a` is chronologically <= `b`
    function lte(
        uint32 time,
        uint32 a,
        uint32 b
    ) private pure returns (bool) {
        // if there hasn't been overflow, no need to adjust
        if (a <= time && b <= time) return a <= b;
        uint256 aAdjusted = a > time ? a : a + 2**32;
        uint256 bAdjusted = b > time ? b : b + 2**32;
        return aAdjusted <= bAdjusted;
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a target, i.e. where [beforeOrAt, atOrAfter] is satisfied.
    /// The result may be the same observation, or adjacent observations.
    /// @dev The answer must be contained in the array, used when the target is located within the stored observation
    /// boundaries: older than the most recent observation and younger, or the same age as, the oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation recorded before, or at, the target
    /// @return atOrAfter The observation recorded at, or after, the target
    function binarySearch(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        uint16 index,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        uint256 l = (index + 1) % cardinality; // oldest observation
        uint256 r = l + cardinality - 1; // newest observation
        uint256 i;
        while (true) {
            i = (l + r) / 2;
            beforeOrAt = self[i % cardinality];
            // we've landed on an uninitialized tick, keep searching higher (more recently)
            if (!beforeOrAt.initialized) {
                l = i + 1;
                continue;
            }
            atOrAfter = self[(i + 1) % cardinality];
            bool targetAtOrAfter = lte(time, beforeOrAt.blockTimestamp, target);
            // check if we've found the answer!
            if (targetAtOrAfter && lte(time, target, atOrAfter.blockTimestamp)) break;
            if (!targetAtOrAfter) r = i - 1;
            else l = i + 1;
        }
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a given target, i.e. where [beforeOrAt, atOrAfter] is satisfied
    /// @dev Assumes there is at least 1 initialized observation.
    /// Used by observeSingle() to compute the counterfactual accumulator values as of a given block timestamp.
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param tick The active tick at the time of the returned or simulated observation
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The total pool liquidity at the time of the call
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation which occurred at, or before, the given timestamp
    /// @return atOrAfter The observation which occurred at, or after, the given timestamp
    function getSurroundingObservations(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        // optimistically set before to the newest observation
        beforeOrAt = self[index];
        // if the target is chronologically at or after the newest observation, we can early return
        if (lte(time, beforeOrAt.blockTimestamp, target)) {
            if (beforeOrAt.blockTimestamp == target) {
                // if newest observation equals target, we're in the same block, so we can ignore atOrAfter
                return (beforeOrAt, atOrAfter);
            } else {
                // otherwise, we need to transform
                return (beforeOrAt, transform(beforeOrAt, target, tick, liquidity));
            }
        }
        // now, set before to the oldest observation
        beforeOrAt = self[(index + 1) % cardinality];
        if (!beforeOrAt.initialized) beforeOrAt = self[0];
        // ensure that the target is chronologically at or after the oldest observation
        require(lte(time, beforeOrAt.blockTimestamp, target), 'OLD');
        // if we've reached this point, we have to binary search
        return binarySearch(self, time, target, index, cardinality);
    }
    /// @dev Reverts if an observation at or before the desired observation timestamp does not exist.
    /// 0 may be passed as `secondsAgo' to return the current cumulative values.
    /// If called with a timestamp falling between two observations, returns the counterfactual accumulator values
    /// at exactly the timestamp between the two observations.
    /// @param self The stored oracle array
    /// @param time The current block timestamp
    /// @param secondsAgo The amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulative The tick * time elapsed since the pool was first initialized, as of `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128 The time elapsed / max(1, liquidity) since the pool was first initialized, as of `secondsAgo`
    function observeSingle(
        Observation[65535] storage self,
        uint32 time,
        uint32 secondsAgo,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) {
        if (secondsAgo == 0) {
            Observation memory last = self[index];
            if (last.blockTimestamp != time) last = transform(last, time, tick, liquidity);
            return (last.tickCumulative, last.secondsPerLiquidityCumulativeX128);
        }
        uint32 target = time - secondsAgo;
        (Observation memory beforeOrAt, Observation memory atOrAfter) = getSurroundingObservations(
            self,
            time,
            target,
            tick,
            index,
            liquidity,
            cardinality
        );
        if (target == beforeOrAt.blockTimestamp) {
            // we're at the left boundary
            return (beforeOrAt.tickCumulative, beforeOrAt.secondsPerLiquidityCumulativeX128);
        } else if (target == atOrAfter.blockTimestamp) {
            // we're at the right boundary
            return (atOrAfter.tickCumulative, atOrAfter.secondsPerLiquidityCumulativeX128);
        } else {
            // we're in the middle
            uint32 observationTimeDelta = atOrAfter.blockTimestamp - beforeOrAt.blockTimestamp;
            uint32 targetDelta = target - beforeOrAt.blockTimestamp;
            return (
                beforeOrAt.tickCumulative +
                    ((atOrAfter.tickCumulative - beforeOrAt.tickCumulative) / observationTimeDelta) *
                    targetDelta,
                beforeOrAt.secondsPerLiquidityCumulativeX128 +
                    uint160(
                        (uint256(
                            atOrAfter.secondsPerLiquidityCumulativeX128 - beforeOrAt.secondsPerLiquidityCumulativeX128
                        ) * targetDelta) / observationTimeDelta
                    )
            );
        }
    }
    /// @notice Returns the accumulator values as of each time seconds ago from the given time in the array of `secondsAgos`
    /// @dev Reverts if `secondsAgos` > oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param secondsAgos Each amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulatives The tick * time elapsed since the pool was first initialized, as of each `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128s The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of each `secondsAgo`
    function observe(
        Observation[65535] storage self,
        uint32 time,
        uint32[] memory secondsAgos,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s) {
        require(cardinality > 0, 'I');
        tickCumulatives = new int56[](secondsAgos.length);
        secondsPerLiquidityCumulativeX128s = new uint160[](secondsAgos.length);
        for (uint256 i = 0; i < secondsAgos.length; i++) {
            (tickCumulatives[i], secondsPerLiquidityCumulativeX128s[i]) = observeSingle(
                self,
                time,
                secondsAgos[i],
                tick,
                index,
                liquidity,
                cardinality
            );
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <0.8.0;
import './FullMath.sol';
import './FixedPoint128.sol';
import './LiquidityMath.sol';
/// @title Position
/// @notice Positions represent an owner address' liquidity between a lower and upper tick boundary
/// @dev Positions store additional state for tracking fees owed to the position
library Position {
    // info stored for each user's position
    struct Info {
        // the amount of liquidity owned by this position
        uint128 liquidity;
        // fee growth per unit of liquidity as of the last update to liquidity or fees owed
        uint256 feeGrowthInside0LastX128;
        uint256 feeGrowthInside1LastX128;
        // the fees owed to the position owner in token0/token1
        uint128 tokensOwed0;
        uint128 tokensOwed1;
    }
    /// @notice Returns the Info struct of a position, given an owner and position boundaries
    /// @param self The mapping containing all user positions
    /// @param owner The address of the position owner
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @return position The position info struct of the given owners' position
    function get(
        mapping(bytes32 => Info) storage self,
        address owner,
        int24 tickLower,
        int24 tickUpper
    ) internal view returns (Position.Info storage position) {
        position = self[keccak256(abi.encodePacked(owner, tickLower, tickUpper))];
    }
    /// @notice Credits accumulated fees to a user's position
    /// @param self The individual position to update
    /// @param liquidityDelta The change in pool liquidity as a result of the position update
    /// @param feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @param feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function update(
        Info storage self,
        int128 liquidityDelta,
        uint256 feeGrowthInside0X128,
        uint256 feeGrowthInside1X128
    ) internal {
        Info memory _self = self;
        uint128 liquidityNext;
        if (liquidityDelta == 0) {
            require(_self.liquidity > 0, 'NP'); // disallow pokes for 0 liquidity positions
            liquidityNext = _self.liquidity;
        } else {
            liquidityNext = LiquidityMath.addDelta(_self.liquidity, liquidityDelta);
        }
        // calculate accumulated fees
        uint128 tokensOwed0 = uint128(
            FullMath.mulDiv(feeGrowthInside0X128 - _self.feeGrowthInside0LastX128, _self.liquidity, FixedPoint128.Q128)
        );
        uint128 tokensOwed1 = uint128(
            FullMath.mulDiv(feeGrowthInside1X128 - _self.feeGrowthInside1LastX128, _self.liquidity, FixedPoint128.Q128)
        );
        // update the position
        if (liquidityDelta != 0) self.liquidity = liquidityNext;
        self.feeGrowthInside0LastX128 = feeGrowthInside0X128;
        self.feeGrowthInside1LastX128 = feeGrowthInside1X128;
        if (tokensOwed0 > 0 || tokensOwed1 > 0) {
            // overflow is acceptable, have to withdraw before you hit type(uint128).max fees
            self.tokensOwed0 += tokensOwed0;
            self.tokensOwed1 += tokensOwed1;
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Safe casting methods
/// @notice Contains methods for safely casting between types
library SafeCast {
    /// @notice Cast a uint256 to a uint160, revert on overflow
    /// @param y The uint256 to be downcasted
    /// @return z The downcasted integer, now type uint160
    function toUint160(uint256 y) internal pure returns (uint160 z) {
        require((z = uint160(y)) == y);
    }
    /// @notice Cast a int256 to a int128, revert on overflow or underflow
    /// @param y The int256 to be downcasted
    /// @return z The downcasted integer, now type int128
    function toInt128(int256 y) internal pure returns (int128 z) {
        require((z = int128(y)) == y);
    }
    /// @notice Cast a uint256 to a int256, revert on overflow
    /// @param y The uint256 to be casted
    /// @return z The casted integer, now type int256
    function toInt256(uint256 y) internal pure returns (int256 z) {
        require(y < 2**255);
        z = int256(y);
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './FullMath.sol';
import './UnsafeMath.sol';
import './FixedPoint96.sol';
/// @title Functions based on Q64.96 sqrt price and liquidity
/// @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas
library SqrtPriceMath {
    using LowGasSafeMath for uint256;
    using SafeCast for uint256;
    /// @notice Gets the next sqrt price given a delta of token0
    /// @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the
    /// price less in order to not send too much output.
    /// The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),
    /// if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).
    /// @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token0 to add or remove from virtual reserves
    /// @param add Whether to add or remove the amount of token0
    /// @return The price after adding or removing amount, depending on add
    function getNextSqrtPriceFromAmount0RoundingUp(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // we short circuit amount == 0 because the result is otherwise not guaranteed to equal the input price
        if (amount == 0) return sqrtPX96;
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        if (add) {
            uint256 product;
            if ((product = amount * sqrtPX96) / amount == sqrtPX96) {
                uint256 denominator = numerator1 + product;
                if (denominator >= numerator1)
                    // always fits in 160 bits
                    return uint160(FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator));
            }
            return uint160(UnsafeMath.divRoundingUp(numerator1, (numerator1 / sqrtPX96).add(amount)));
        } else {
            uint256 product;
            // if the product overflows, we know the denominator underflows
            // in addition, we must check that the denominator does not underflow
            require((product = amount * sqrtPX96) / amount == sqrtPX96 && numerator1 > product);
            uint256 denominator = numerator1 - product;
            return FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator).toUint160();
        }
    }
    /// @notice Gets the next sqrt price given a delta of token1
    /// @dev Always rounds down, because in the exact output case (decreasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (increasing price) we need to move the
    /// price less in order to not send too much output.
    /// The formula we compute is within <1 wei of the lossless version: sqrtPX96 +- amount / liquidity
    /// @param sqrtPX96 The starting price, i.e., before accounting for the token1 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token1 to add, or remove, from virtual reserves
    /// @param add Whether to add, or remove, the amount of token1
    /// @return The price after adding or removing `amount`
    function getNextSqrtPriceFromAmount1RoundingDown(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // if we're adding (subtracting), rounding down requires rounding the quotient down (up)
        // in both cases, avoid a mulDiv for most inputs
        if (add) {
            uint256 quotient = (
                amount <= type(uint160).max
                    ? (amount << FixedPoint96.RESOLUTION) / liquidity
                    : FullMath.mulDiv(amount, FixedPoint96.Q96, liquidity)
            );
            return uint256(sqrtPX96).add(quotient).toUint160();
        } else {
            uint256 quotient = (
                amount <= type(uint160).max
                    ? UnsafeMath.divRoundingUp(amount << FixedPoint96.RESOLUTION, liquidity)
                    : FullMath.mulDivRoundingUp(amount, FixedPoint96.Q96, liquidity)
            );
            require(sqrtPX96 > quotient);
            // always fits 160 bits
            return uint160(sqrtPX96 - quotient);
        }
    }
    /// @notice Gets the next sqrt price given an input amount of token0 or token1
    /// @dev Throws if price or liquidity are 0, or if the next price is out of bounds
    /// @param sqrtPX96 The starting price, i.e., before accounting for the input amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountIn How much of token0, or token1, is being swapped in
    /// @param zeroForOne Whether the amount in is token0 or token1
    /// @return sqrtQX96 The price after adding the input amount to token0 or token1
    function getNextSqrtPriceFromInput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountIn,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we don't pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountIn, true)
                : getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountIn, true);
    }
    /// @notice Gets the next sqrt price given an output amount of token0 or token1
    /// @dev Throws if price or liquidity are 0 or the next price is out of bounds
    /// @param sqrtPX96 The starting price before accounting for the output amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountOut How much of token0, or token1, is being swapped out
    /// @param zeroForOne Whether the amount out is token0 or token1
    /// @return sqrtQX96 The price after removing the output amount of token0 or token1
    function getNextSqrtPriceFromOutput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountOut,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountOut, false)
                : getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountOut, false);
    }
    /// @notice Gets the amount0 delta between two prices
    /// @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),
    /// i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up or down
    /// @return amount0 Amount of token0 required to cover a position of size liquidity between the two passed prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount0) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        uint256 numerator2 = sqrtRatioBX96 - sqrtRatioAX96;
        require(sqrtRatioAX96 > 0);
        return
            roundUp
                ? UnsafeMath.divRoundingUp(
                    FullMath.mulDivRoundingUp(numerator1, numerator2, sqrtRatioBX96),
                    sqrtRatioAX96
                )
                : FullMath.mulDiv(numerator1, numerator2, sqrtRatioBX96) / sqrtRatioAX96;
    }
    /// @notice Gets the amount1 delta between two prices
    /// @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up, or down
    /// @return amount1 Amount of token1 required to cover a position of size liquidity between the two passed prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount1) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        return
            roundUp
                ? FullMath.mulDivRoundingUp(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96)
                : FullMath.mulDiv(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96);
    }
    /// @notice Helper that gets signed token0 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount0 delta
    /// @return amount0 Amount of token0 corresponding to the passed liquidityDelta between the two prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount0) {
        return
            liquidity < 0
                ? -getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
    /// @notice Helper that gets signed token1 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount1 delta
    /// @return amount1 Amount of token1 corresponding to the passed liquidityDelta between the two prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount1) {
        return
            liquidity < 0
                ? -getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './FullMath.sol';
import './SqrtPriceMath.sol';
/// @title Computes the result of a swap within ticks
/// @notice Contains methods for computing the result of a swap within a single tick price range, i.e., a single tick.
library SwapMath {
    /// @notice Computes the result of swapping some amount in, or amount out, given the parameters of the swap
    /// @dev The fee, plus the amount in, will never exceed the amount remaining if the swap's `amountSpecified` is positive
    /// @param sqrtRatioCurrentX96 The current sqrt price of the pool
    /// @param sqrtRatioTargetX96 The price that cannot be exceeded, from which the direction of the swap is inferred
    /// @param liquidity The usable liquidity
    /// @param amountRemaining How much input or output amount is remaining to be swapped in/out
    /// @param feePips The fee taken from the input amount, expressed in hundredths of a bip
    /// @return sqrtRatioNextX96 The price after swapping the amount in/out, not to exceed the price target
    /// @return amountIn The amount to be swapped in, of either token0 or token1, based on the direction of the swap
    /// @return amountOut The amount to be received, of either token0 or token1, based on the direction of the swap
    /// @return feeAmount The amount of input that will be taken as a fee
    function computeSwapStep(
        uint160 sqrtRatioCurrentX96,
        uint160 sqrtRatioTargetX96,
        uint128 liquidity,
        int256 amountRemaining,
        uint24 feePips
    )
        internal
        pure
        returns (
            uint160 sqrtRatioNextX96,
            uint256 amountIn,
            uint256 amountOut,
            uint256 feeAmount
        )
    {
        bool zeroForOne = sqrtRatioCurrentX96 >= sqrtRatioTargetX96;
        bool exactIn = amountRemaining >= 0;
        if (exactIn) {
            uint256 amountRemainingLessFee = FullMath.mulDiv(uint256(amountRemaining), 1e6 - feePips, 1e6);
            amountIn = zeroForOne
                ? SqrtPriceMath.getAmount0Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, true)
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, true);
            if (amountRemainingLessFee >= amountIn) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromInput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    amountRemainingLessFee,
                    zeroForOne
                );
        } else {
            amountOut = zeroForOne
                ? SqrtPriceMath.getAmount1Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, false)
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, false);
            if (uint256(-amountRemaining) >= amountOut) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromOutput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    uint256(-amountRemaining),
                    zeroForOne
                );
        }
        bool max = sqrtRatioTargetX96 == sqrtRatioNextX96;
        // get the input/output amounts
        if (zeroForOne) {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount0Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount1Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, false);
        } else {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, false);
        }
        // cap the output amount to not exceed the remaining output amount
        if (!exactIn && amountOut > uint256(-amountRemaining)) {
            amountOut = uint256(-amountRemaining);
        }
        if (exactIn && sqrtRatioNextX96 != sqrtRatioTargetX96) {
            // we didn't reach the target, so take the remainder of the maximum input as fee
            feeAmount = uint256(amountRemaining) - amountIn;
        } else {
            feeAmount = FullMath.mulDivRoundingUp(amountIn, feePips, 1e6 - feePips);
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <0.8.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './TickMath.sol';
import './LiquidityMath.sol';
/// @title Tick
/// @notice Contains functions for managing tick processes and relevant calculations
library Tick {
    using LowGasSafeMath for int256;
    using SafeCast for int256;
    // info stored for each initialized individual tick
    struct Info {
        // the total position liquidity that references this tick
        uint128 liquidityGross;
        // amount of net liquidity added (subtracted) when tick is crossed from left to right (right to left),
        int128 liquidityNet;
        // fee growth per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint256 feeGrowthOutside0X128;
        uint256 feeGrowthOutside1X128;
        // the cumulative tick value on the other side of the tick
        int56 tickCumulativeOutside;
        // the seconds per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint160 secondsPerLiquidityOutsideX128;
        // the seconds spent on the other side of the tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint32 secondsOutside;
        // true iff the tick is initialized, i.e. the value is exactly equivalent to the expression liquidityGross != 0
        // these 8 bits are set to prevent fresh sstores when crossing newly initialized ticks
        bool initialized;
    }
    /// @notice Derives max liquidity per tick from given tick spacing
    /// @dev Executed within the pool constructor
    /// @param tickSpacing The amount of required tick separation, realized in multiples of `tickSpacing`
    ///     e.g., a tickSpacing of 3 requires ticks to be initialized every 3rd tick i.e., ..., -6, -3, 0, 3, 6, ...
    /// @return The max liquidity per tick
    function tickSpacingToMaxLiquidityPerTick(int24 tickSpacing) internal pure returns (uint128) {
        int24 minTick = (TickMath.MIN_TICK / tickSpacing) * tickSpacing;
        int24 maxTick = (TickMath.MAX_TICK / tickSpacing) * tickSpacing;
        uint24 numTicks = uint24((maxTick - minTick) / tickSpacing) + 1;
        return type(uint128).max / numTicks;
    }
    /// @notice Retrieves fee growth data
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @param tickCurrent The current tick
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @return feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @return feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function getFeeGrowthInside(
        mapping(int24 => Tick.Info) storage self,
        int24 tickLower,
        int24 tickUpper,
        int24 tickCurrent,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128
    ) internal view returns (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) {
        Info storage lower = self[tickLower];
        Info storage upper = self[tickUpper];
        // calculate fee growth below
        uint256 feeGrowthBelow0X128;
        uint256 feeGrowthBelow1X128;
        if (tickCurrent >= tickLower) {
            feeGrowthBelow0X128 = lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = lower.feeGrowthOutside1X128;
        } else {
            feeGrowthBelow0X128 = feeGrowthGlobal0X128 - lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = feeGrowthGlobal1X128 - lower.feeGrowthOutside1X128;
        }
        // calculate fee growth above
        uint256 feeGrowthAbove0X128;
        uint256 feeGrowthAbove1X128;
        if (tickCurrent < tickUpper) {
            feeGrowthAbove0X128 = upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = upper.feeGrowthOutside1X128;
        } else {
            feeGrowthAbove0X128 = feeGrowthGlobal0X128 - upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = feeGrowthGlobal1X128 - upper.feeGrowthOutside1X128;
        }
        feeGrowthInside0X128 = feeGrowthGlobal0X128 - feeGrowthBelow0X128 - feeGrowthAbove0X128;
        feeGrowthInside1X128 = feeGrowthGlobal1X128 - feeGrowthBelow1X128 - feeGrowthAbove1X128;
    }
    /// @notice Updates a tick and returns true if the tick was flipped from initialized to uninitialized, or vice versa
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The tick that will be updated
    /// @param tickCurrent The current tick
    /// @param liquidityDelta A new amount of liquidity to be added (subtracted) when tick is crossed from left to right (right to left)
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The all-time seconds per max(1, liquidity) of the pool
    /// @param tickCumulative The tick * time elapsed since the pool was first initialized
    /// @param time The current block timestamp cast to a uint32
    /// @param upper true for updating a position's upper tick, or false for updating a position's lower tick
    /// @param maxLiquidity The maximum liquidity allocation for a single tick
    /// @return flipped Whether the tick was flipped from initialized to uninitialized, or vice versa
    function update(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        int24 tickCurrent,
        int128 liquidityDelta,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time,
        bool upper,
        uint128 maxLiquidity
    ) internal returns (bool flipped) {
        Tick.Info storage info = self[tick];
        uint128 liquidityGrossBefore = info.liquidityGross;
        uint128 liquidityGrossAfter = LiquidityMath.addDelta(liquidityGrossBefore, liquidityDelta);
        require(liquidityGrossAfter <= maxLiquidity, 'LO');
        flipped = (liquidityGrossAfter == 0) != (liquidityGrossBefore == 0);
        if (liquidityGrossBefore == 0) {
            // by convention, we assume that all growth before a tick was initialized happened _below_ the tick
            if (tick <= tickCurrent) {
                info.feeGrowthOutside0X128 = feeGrowthGlobal0X128;
                info.feeGrowthOutside1X128 = feeGrowthGlobal1X128;
                info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128;
                info.tickCumulativeOutside = tickCumulative;
                info.secondsOutside = time;
            }
            info.initialized = true;
        }
        info.liquidityGross = liquidityGrossAfter;
        // when the lower (upper) tick is crossed left to right (right to left), liquidity must be added (removed)
        info.liquidityNet = upper
            ? int256(info.liquidityNet).sub(liquidityDelta).toInt128()
            : int256(info.liquidityNet).add(liquidityDelta).toInt128();
    }
    /// @notice Clears tick data
    /// @param self The mapping containing all initialized tick information for initialized ticks
    /// @param tick The tick that will be cleared
    function clear(mapping(int24 => Tick.Info) storage self, int24 tick) internal {
        delete self[tick];
    }
    /// @notice Transitions to next tick as needed by price movement
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The destination tick of the transition
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The current seconds per liquidity
    /// @param tickCumulative The tick * time elapsed since the pool was first initialized
    /// @param time The current block.timestamp
    /// @return liquidityNet The amount of liquidity added (subtracted) when tick is crossed from left to right (right to left)
    function cross(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time
    ) internal returns (int128 liquidityNet) {
        Tick.Info storage info = self[tick];
        info.feeGrowthOutside0X128 = feeGrowthGlobal0X128 - info.feeGrowthOutside0X128;
        info.feeGrowthOutside1X128 = feeGrowthGlobal1X128 - info.feeGrowthOutside1X128;
        info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128 - info.secondsPerLiquidityOutsideX128;
        info.tickCumulativeOutside = tickCumulative - info.tickCumulativeOutside;
        info.secondsOutside = time - info.secondsOutside;
        liquidityNet = info.liquidityNet;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './BitMath.sol';
/// @title Packed tick initialized state library
/// @notice Stores a packed mapping of tick index to its initialized state
/// @dev The mapping uses int16 for keys since ticks are represented as int24 and there are 256 (2^8) values per word.
library TickBitmap {
    /// @notice Computes the position in the mapping where the initialized bit for a tick lives
    /// @param tick The tick for which to compute the position
    /// @return wordPos The key in the mapping containing the word in which the bit is stored
    /// @return bitPos The bit position in the word where the flag is stored
    function position(int24 tick) private pure returns (int16 wordPos, uint8 bitPos) {
        wordPos = int16(tick >> 8);
        bitPos = uint8(tick % 256);
    }
    /// @notice Flips the initialized state for a given tick from false to true, or vice versa
    /// @param self The mapping in which to flip the tick
    /// @param tick The tick to flip
    /// @param tickSpacing The spacing between usable ticks
    function flipTick(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing
    ) internal {
        require(tick % tickSpacing == 0); // ensure that the tick is spaced
        (int16 wordPos, uint8 bitPos) = position(tick / tickSpacing);
        uint256 mask = 1 << bitPos;
        self[wordPos] ^= mask;
    }
    /// @notice Returns the next initialized tick contained in the same word (or adjacent word) as the tick that is either
    /// to the left (less than or equal to) or right (greater than) of the given tick
    /// @param self The mapping in which to compute the next initialized tick
    /// @param tick The starting tick
    /// @param tickSpacing The spacing between usable ticks
    /// @param lte Whether to search for the next initialized tick to the left (less than or equal to the starting tick)
    /// @return next The next initialized or uninitialized tick up to 256 ticks away from the current tick
    /// @return initialized Whether the next tick is initialized, as the function only searches within up to 256 ticks
    function nextInitializedTickWithinOneWord(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing,
        bool lte
    ) internal view returns (int24 next, bool initialized) {
        int24 compressed = tick / tickSpacing;
        if (tick < 0 && tick % tickSpacing != 0) compressed--; // round towards negative infinity
        if (lte) {
            (int16 wordPos, uint8 bitPos) = position(compressed);
            // all the 1s at or to the right of the current bitPos
            uint256 mask = (1 << bitPos) - 1 + (1 << bitPos);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the right of or at the current tick, return rightmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed - int24(bitPos - BitMath.mostSignificantBit(masked))) * tickSpacing
                : (compressed - int24(bitPos)) * tickSpacing;
        } else {
            // start from the word of the next tick, since the current tick state doesn't matter
            (int16 wordPos, uint8 bitPos) = position(compressed + 1);
            // all the 1s at or to the left of the bitPos
            uint256 mask = ~((1 << bitPos) - 1);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the left of the current tick, return leftmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed + 1 + int24(BitMath.leastSignificantBit(masked) - bitPos)) * tickSpacing
                : (compressed + 1 + int24(type(uint8).max - bitPos)) * tickSpacing;
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <0.8.0;
/// @title Math library for computing sqrt prices from ticks and vice versa
/// @notice Computes sqrt price for ticks of size 1.0001, i.e. sqrt(1.0001^tick) as fixed point Q64.96 numbers. Supports
/// prices between 2**-128 and 2**128
library TickMath {
    /// @dev The minimum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**-128
    int24 internal constant MIN_TICK = -887272;
    /// @dev The maximum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**128
    int24 internal constant MAX_TICK = -MIN_TICK;
    /// @dev The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
    uint160 internal constant MIN_SQRT_RATIO = 4295128739;
    /// @dev The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
    uint160 internal constant MAX_SQRT_RATIO = 1461446703485210103287273052203988822378723970342;
    /// @notice Calculates sqrt(1.0001^tick) * 2^96
    /// @dev Throws if |tick| > max tick
    /// @param tick The input tick for the above formula
    /// @return sqrtPriceX96 A Fixed point Q64.96 number representing the sqrt of the ratio of the two assets (token1/token0)
    /// at the given tick
    function getSqrtRatioAtTick(int24 tick) internal pure returns (uint160 sqrtPriceX96) {
        uint256 absTick = tick < 0 ? uint256(-int256(tick)) : uint256(int256(tick));
        require(absTick <= uint256(MAX_TICK), 'T');
        uint256 ratio = absTick & 0x1 != 0 ? 0xfffcb933bd6fad37aa2d162d1a594001 : 0x100000000000000000000000000000000;
        if (absTick & 0x2 != 0) ratio = (ratio * 0xfff97272373d413259a46990580e213a) >> 128;
        if (absTick & 0x4 != 0) ratio = (ratio * 0xfff2e50f5f656932ef12357cf3c7fdcc) >> 128;
        if (absTick & 0x8 != 0) ratio = (ratio * 0xffe5caca7e10e4e61c3624eaa0941cd0) >> 128;
        if (absTick & 0x10 != 0) ratio = (ratio * 0xffcb9843d60f6159c9db58835c926644) >> 128;
        if (absTick & 0x20 != 0) ratio = (ratio * 0xff973b41fa98c081472e6896dfb254c0) >> 128;
        if (absTick & 0x40 != 0) ratio = (ratio * 0xff2ea16466c96a3843ec78b326b52861) >> 128;
        if (absTick & 0x80 != 0) ratio = (ratio * 0xfe5dee046a99a2a811c461f1969c3053) >> 128;
        if (absTick & 0x100 != 0) ratio = (ratio * 0xfcbe86c7900a88aedcffc83b479aa3a4) >> 128;
        if (absTick & 0x200 != 0) ratio = (ratio * 0xf987a7253ac413176f2b074cf7815e54) >> 128;
        if (absTick & 0x400 != 0) ratio = (ratio * 0xf3392b0822b70005940c7a398e4b70f3) >> 128;
        if (absTick & 0x800 != 0) ratio = (ratio * 0xe7159475a2c29b7443b29c7fa6e889d9) >> 128;
        if (absTick & 0x1000 != 0) ratio = (ratio * 0xd097f3bdfd2022b8845ad8f792aa5825) >> 128;
        if (absTick & 0x2000 != 0) ratio = (ratio * 0xa9f746462d870fdf8a65dc1f90e061e5) >> 128;
        if (absTick & 0x4000 != 0) ratio = (ratio * 0x70d869a156d2a1b890bb3df62baf32f7) >> 128;
        if (absTick & 0x8000 != 0) ratio = (ratio * 0x31be135f97d08fd981231505542fcfa6) >> 128;
        if (absTick & 0x10000 != 0) ratio = (ratio * 0x9aa508b5b7a84e1c677de54f3e99bc9) >> 128;
        if (absTick & 0x20000 != 0) ratio = (ratio * 0x5d6af8dedb81196699c329225ee604) >> 128;
        if (absTick & 0x40000 != 0) ratio = (ratio * 0x2216e584f5fa1ea926041bedfe98) >> 128;
        if (absTick & 0x80000 != 0) ratio = (ratio * 0x48a170391f7dc42444e8fa2) >> 128;
        if (tick > 0) ratio = type(uint256).max / ratio;
        // this divides by 1<<32 rounding up to go from a Q128.128 to a Q128.96.
        // we then downcast because we know the result always fits within 160 bits due to our tick input constraint
        // we round up in the division so getTickAtSqrtRatio of the output price is always consistent
        sqrtPriceX96 = uint160((ratio >> 32) + (ratio % (1 << 32) == 0 ? 0 : 1));
    }
    /// @notice Calculates the greatest tick value such that getRatioAtTick(tick) <= ratio
    /// @dev Throws in case sqrtPriceX96 < MIN_SQRT_RATIO, as MIN_SQRT_RATIO is the lowest value getRatioAtTick may
    /// ever return.
    /// @param sqrtPriceX96 The sqrt ratio for which to compute the tick as a Q64.96
    /// @return tick The greatest tick for which the ratio is less than or equal to the input ratio
    function getTickAtSqrtRatio(uint160 sqrtPriceX96) internal pure returns (int24 tick) {
        // second inequality must be < because the price can never reach the price at the max tick
        require(sqrtPriceX96 >= MIN_SQRT_RATIO && sqrtPriceX96 < MAX_SQRT_RATIO, 'R');
        uint256 ratio = uint256(sqrtPriceX96) << 32;
        uint256 r = ratio;
        uint256 msb = 0;
        assembly {
            let f := shl(7, gt(r, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(6, gt(r, 0xFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(5, gt(r, 0xFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(4, gt(r, 0xFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(3, gt(r, 0xFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(2, gt(r, 0xF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(1, gt(r, 0x3))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := gt(r, 0x1)
            msb := or(msb, f)
        }
        if (msb >= 128) r = ratio >> (msb - 127);
        else r = ratio << (127 - msb);
        int256 log_2 = (int256(msb) - 128) << 64;
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(63, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(62, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(61, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(60, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(59, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(58, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(57, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(56, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(55, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(54, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(53, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(52, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(51, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(50, f))
        }
        int256 log_sqrt10001 = log_2 * 255738958999603826347141; // 128.128 number
        int24 tickLow = int24((log_sqrt10001 - 3402992956809132418596140100660247210) >> 128);
        int24 tickHi = int24((log_sqrt10001 + 291339464771989622907027621153398088495) >> 128);
        tick = tickLow == tickHi ? tickLow : getSqrtRatioAtTick(tickHi) <= sqrtPriceX96 ? tickHi : tickLow;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.6.0;
import '../interfaces/IERC20Minimal.sol';
/// @title TransferHelper
/// @notice Contains helper methods for interacting with ERC20 tokens that do not consistently return true/false
library TransferHelper {
    /// @notice Transfers tokens from msg.sender to a recipient
    /// @dev Calls transfer on token contract, errors with TF if transfer fails
    /// @param token The contract address of the token which will be transferred
    /// @param to The recipient of the transfer
    /// @param value The value of the transfer
    function safeTransfer(
        address token,
        address to,
        uint256 value
    ) internal {
        (bool success, bytes memory data) = token.call(
            abi.encodeWithSelector(IERC20Minimal.transfer.selector, to, value)
        );
        require(success && (data.length == 0 || abi.decode(data, (bool))), 'TF');
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math functions that do not check inputs or outputs
/// @notice Contains methods that perform common math functions but do not do any overflow or underflow checks
library UnsafeMath {
    /// @notice Returns ceil(x / y)
    /// @dev division by 0 has unspecified behavior, and must be checked externally
    /// @param x The dividend
    /// @param y The divisor
    /// @return z The quotient, ceil(x / y)
    function divRoundingUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
        assembly {
            z := add(div(x, y), gt(mod(x, y), 0))
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity =0.7.6;
import './interfaces/IPancakeV3Pool.sol';
import './libraries/LowGasSafeMath.sol';
import './libraries/SafeCast.sol';
import './libraries/Tick.sol';
import './libraries/TickBitmap.sol';
import './libraries/Position.sol';
import './libraries/Oracle.sol';
import './libraries/FullMath.sol';
import './libraries/FixedPoint128.sol';
import './libraries/TransferHelper.sol';
import './libraries/TickMath.sol';
import './libraries/LiquidityMath.sol';
import './libraries/SqrtPriceMath.sol';
import './libraries/SwapMath.sol';
import './interfaces/IPancakeV3PoolDeployer.sol';
import './interfaces/IPancakeV3Factory.sol';
import './interfaces/IERC20Minimal.sol';
import './interfaces/callback/IPancakeV3MintCallback.sol';
import './interfaces/callback/IPancakeV3SwapCallback.sol';
import './interfaces/callback/IPancakeV3FlashCallback.sol';
import '@pancakeswap/v3-lm-pool/contracts/interfaces/IPancakeV3LmPool.sol';
contract PancakeV3Pool is IPancakeV3Pool {
    using LowGasSafeMath for uint256;
    using LowGasSafeMath for int256;
    using SafeCast for uint256;
    using SafeCast for int256;
    using Tick for mapping(int24 => Tick.Info);
    using TickBitmap for mapping(int16 => uint256);
    using Position for mapping(bytes32 => Position.Info);
    using Position for Position.Info;
    using Oracle for Oracle.Observation[65535];
    /// @inheritdoc IPancakeV3PoolImmutables
    address public immutable override factory;
    /// @inheritdoc IPancakeV3PoolImmutables
    address public immutable override token0;
    /// @inheritdoc IPancakeV3PoolImmutables
    address public immutable override token1;
    /// @inheritdoc IPancakeV3PoolImmutables
    uint24 public immutable override fee;
    /// @inheritdoc IPancakeV3PoolImmutables
    int24 public immutable override tickSpacing;
    /// @inheritdoc IPancakeV3PoolImmutables
    uint128 public immutable override maxLiquidityPerTick;
    uint32  internal constant PROTOCOL_FEE_SP = 65536;
    uint256 internal constant PROTOCOL_FEE_DENOMINATOR = 10000;
    struct Slot0 {
        // the current price
        uint160 sqrtPriceX96;
        // the current tick
        int24 tick;
        // the most-recently updated index of the observations array
        uint16 observationIndex;
        // the current maximum number of observations that are being stored
        uint16 observationCardinality;
        // the next maximum number of observations to store, triggered in observations.write
        uint16 observationCardinalityNext;
        // the current protocol fee for token0 and token1,
        // 2 uint32 values store in a uint32 variable (fee/PROTOCOL_FEE_DENOMINATOR)
        uint32 feeProtocol;
        // whether the pool is locked
        bool unlocked;
    }
    /// @inheritdoc IPancakeV3PoolState
    Slot0 public override slot0;
    /// @inheritdoc IPancakeV3PoolState
    uint256 public override feeGrowthGlobal0X128;
    /// @inheritdoc IPancakeV3PoolState
    uint256 public override feeGrowthGlobal1X128;
    // accumulated protocol fees in token0/token1 units
    struct ProtocolFees {
        uint128 token0;
        uint128 token1;
    }
    /// @inheritdoc IPancakeV3PoolState
    ProtocolFees public override protocolFees;
    /// @inheritdoc IPancakeV3PoolState
    uint128 public override liquidity;
    /// @inheritdoc IPancakeV3PoolState
    mapping(int24 => Tick.Info) public override ticks;
    /// @inheritdoc IPancakeV3PoolState
    mapping(int16 => uint256) public override tickBitmap;
    /// @inheritdoc IPancakeV3PoolState
    mapping(bytes32 => Position.Info) public override positions;
    /// @inheritdoc IPancakeV3PoolState
    Oracle.Observation[65535] public override observations;
    // liquidity mining
    IPancakeV3LmPool public lmPool;
    event SetLmPoolEvent(address addr);
    /// @dev Mutually exclusive reentrancy protection into the pool to/from a method. This method also prevents entrance
    /// to a function before the pool is initialized. The reentrancy guard is required throughout the contract because
    /// we use balance checks to determine the payment status of interactions such as mint, swap and flash.
    modifier lock() {
        require(slot0.unlocked, 'LOK');
        slot0.unlocked = false;
        _;
        slot0.unlocked = true;
    }
    /// @dev Prevents calling a function from anyone except the factory or its
    /// owner
    modifier onlyFactoryOrFactoryOwner() {
        require(msg.sender == factory || msg.sender == IPancakeV3Factory(factory).owner());
        _;
    }
    constructor() {
        int24 _tickSpacing;
        (factory, token0, token1, fee, _tickSpacing) = IPancakeV3PoolDeployer(msg.sender).parameters();
        tickSpacing = _tickSpacing;
        maxLiquidityPerTick = Tick.tickSpacingToMaxLiquidityPerTick(_tickSpacing);
    }
    /// @dev Common checks for valid tick inputs.
    function checkTicks(int24 tickLower, int24 tickUpper) private pure {
        require(tickLower < tickUpper, 'TLU');
        require(tickLower >= TickMath.MIN_TICK, 'TLM');
        require(tickUpper <= TickMath.MAX_TICK, 'TUM');
    }
    /// @dev Returns the block timestamp truncated to 32 bits, i.e. mod 2**32. This method is overridden in tests.
    function _blockTimestamp() internal view virtual returns (uint32) {
        return uint32(block.timestamp); // truncation is desired
    }
    /// @dev Get the pool's balance of token0
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance0() private view returns (uint256) {
        (bool success, bytes memory data) = token0.staticcall(
            abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this))
        );
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @dev Get the pool's balance of token1
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance1() private view returns (uint256) {
        (bool success, bytes memory data) = token1.staticcall(
            abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this))
        );
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @inheritdoc IPancakeV3PoolDerivedState
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        override
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        )
    {
        checkTicks(tickLower, tickUpper);
        int56 tickCumulativeLower;
        int56 tickCumulativeUpper;
        uint160 secondsPerLiquidityOutsideLowerX128;
        uint160 secondsPerLiquidityOutsideUpperX128;
        uint32 secondsOutsideLower;
        uint32 secondsOutsideUpper;
        {
            Tick.Info storage lower = ticks[tickLower];
            Tick.Info storage upper = ticks[tickUpper];
            bool initializedLower;
            (tickCumulativeLower, secondsPerLiquidityOutsideLowerX128, secondsOutsideLower, initializedLower) = (
                lower.tickCumulativeOutside,
                lower.secondsPerLiquidityOutsideX128,
                lower.secondsOutside,
                lower.initialized
            );
            require(initializedLower);
            bool initializedUpper;
            (tickCumulativeUpper, secondsPerLiquidityOutsideUpperX128, secondsOutsideUpper, initializedUpper) = (
                upper.tickCumulativeOutside,
                upper.secondsPerLiquidityOutsideX128,
                upper.secondsOutside,
                upper.initialized
            );
            require(initializedUpper);
        }
        Slot0 memory _slot0 = slot0;
        if (_slot0.tick < tickLower) {
            return (
                tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityOutsideLowerX128 - secondsPerLiquidityOutsideUpperX128,
                secondsOutsideLower - secondsOutsideUpper
            );
        } else if (_slot0.tick < tickUpper) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                time,
                0,
                _slot0.tick,
                _slot0.observationIndex,
                liquidity,
                _slot0.observationCardinality
            );
            return (
                tickCumulative - tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityCumulativeX128 -
                    secondsPerLiquidityOutsideLowerX128 -
                    secondsPerLiquidityOutsideUpperX128,
                time - secondsOutsideLower - secondsOutsideUpper
            );
        } else {
            return (
                tickCumulativeUpper - tickCumulativeLower,
                secondsPerLiquidityOutsideUpperX128 - secondsPerLiquidityOutsideLowerX128,
                secondsOutsideUpper - secondsOutsideLower
            );
        }
    }
    /// @inheritdoc IPancakeV3PoolDerivedState
    function observe(uint32[] calldata secondsAgos)
        external
        view
        override
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s)
    {
        return
            observations.observe(
                _blockTimestamp(),
                secondsAgos,
                slot0.tick,
                slot0.observationIndex,
                liquidity,
                slot0.observationCardinality
            );
    }
    /// @inheritdoc IPancakeV3PoolActions
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext)
        external
        override
        lock
    {
        uint16 observationCardinalityNextOld = slot0.observationCardinalityNext; // for the event
        uint16 observationCardinalityNextNew = observations.grow(
            observationCardinalityNextOld,
            observationCardinalityNext
        );
        slot0.observationCardinalityNext = observationCardinalityNextNew;
        if (observationCardinalityNextOld != observationCardinalityNextNew)
            emit IncreaseObservationCardinalityNext(observationCardinalityNextOld, observationCardinalityNextNew);
    }
    /// @inheritdoc IPancakeV3PoolActions
    /// @dev not locked because it initializes unlocked
    function initialize(uint160 sqrtPriceX96) external override {
        require(slot0.sqrtPriceX96 == 0, 'AI');
        int24 tick = TickMath.getTickAtSqrtRatio(sqrtPriceX96);
        (uint16 cardinality, uint16 cardinalityNext) = observations.initialize(_blockTimestamp());
        slot0 = Slot0({
            sqrtPriceX96: sqrtPriceX96,
            tick: tick,
            observationIndex: 0,
            observationCardinality: cardinality,
            observationCardinalityNext: cardinalityNext,
            feeProtocol: 209718400, // default value for all pools, 3200:3200, store 2 uint32 inside
            unlocked: true
        });
        if (fee == 100) {
            slot0.feeProtocol = 216272100; // value for 3300:3300, store 2 uint32 inside
        } else if (fee == 500) {
            slot0.feeProtocol = 222825800; // value for 3400:3400, store 2 uint32 inside
        } else if (fee == 2500) {
            slot0.feeProtocol = 209718400; // value for 3200:3200, store 2 uint32 inside
        } else if (fee == 10000) {
            slot0.feeProtocol = 209718400; // value for 3200:3200, store 2 uint32 inside
        }
        emit Initialize(sqrtPriceX96, tick);
    }
    struct ModifyPositionParams {
        // the address that owns the position
        address owner;
        // the lower and upper tick of the position
        int24 tickLower;
        int24 tickUpper;
        // any change in liquidity
        int128 liquidityDelta;
    }
    /// @dev Effect some changes to a position
    /// @param params the position details and the change to the position's liquidity to effect
    /// @return position a storage pointer referencing the position with the given owner and tick range
    /// @return amount0 the amount of token0 owed to the pool, negative if the pool should pay the recipient
    /// @return amount1 the amount of token1 owed to the pool, negative if the pool should pay the recipient
    function _modifyPosition(ModifyPositionParams memory params)
        private
        returns (
            Position.Info storage position,
            int256 amount0,
            int256 amount1
        )
    {
        checkTicks(params.tickLower, params.tickUpper);
        Slot0 memory _slot0 = slot0; // SLOAD for gas optimization
        position = _updatePosition(
            params.owner,
            params.tickLower,
            params.tickUpper,
            params.liquidityDelta,
            _slot0.tick
        );
        if (params.liquidityDelta != 0) {
            if (_slot0.tick < params.tickLower) {
                // current tick is below the passed range; liquidity can only become in range by crossing from left to
                // right, when we'll need _more_ token0 (it's becoming more valuable) so user must provide it
                amount0 = SqrtPriceMath.getAmount0Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            } else if (_slot0.tick < params.tickUpper) {
                // current tick is inside the passed range
                uint128 liquidityBefore = liquidity; // SLOAD for gas optimization
                // write an oracle entry
                (slot0.observationIndex, slot0.observationCardinality) = observations.write(
                    _slot0.observationIndex,
                    _blockTimestamp(),
                    _slot0.tick,
                    liquidityBefore,
                    _slot0.observationCardinality,
                    _slot0.observationCardinalityNext
                );
                amount0 = SqrtPriceMath.getAmount0Delta(
                    _slot0.sqrtPriceX96,
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    _slot0.sqrtPriceX96,
                    params.liquidityDelta
                );
                liquidity = LiquidityMath.addDelta(liquidityBefore, params.liquidityDelta);
            } else {
                // current tick is above the passed range; liquidity can only become in range by crossing from right to
                // left, when we'll need _more_ token1 (it's becoming more valuable) so user must provide it
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            }
        }
    }
    /// @dev Gets and updates a position with the given liquidity delta
    /// @param owner the owner of the position
    /// @param tickLower the lower tick of the position's tick range
    /// @param tickUpper the upper tick of the position's tick range
    /// @param tick the current tick, passed to avoid sloads
    function _updatePosition(
        address owner,
        int24 tickLower,
        int24 tickUpper,
        int128 liquidityDelta,
        int24 tick
    ) private returns (Position.Info storage position) {
        position = positions.get(owner, tickLower, tickUpper);
        uint256 _feeGrowthGlobal0X128 = feeGrowthGlobal0X128; // SLOAD for gas optimization
        uint256 _feeGrowthGlobal1X128 = feeGrowthGlobal1X128; // SLOAD for gas optimization
        // if we need to update the ticks, do it
        bool flippedLower;
        bool flippedUpper;
        if (liquidityDelta != 0) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                time,
                0,
                slot0.tick,
                slot0.observationIndex,
                liquidity,
                slot0.observationCardinality
            );
            flippedLower = ticks.update(
                tickLower,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                false,
                maxLiquidityPerTick
            );
            flippedUpper = ticks.update(
                tickUpper,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                true,
                maxLiquidityPerTick
            );
            if (flippedLower) {
                tickBitmap.flipTick(tickLower, tickSpacing);
            }
            if (flippedUpper) {
                tickBitmap.flipTick(tickUpper, tickSpacing);
            }
        }
        (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) = ticks.getFeeGrowthInside(
            tickLower,
            tickUpper,
            tick,
            _feeGrowthGlobal0X128,
            _feeGrowthGlobal1X128
        );
        position.update(liquidityDelta, feeGrowthInside0X128, feeGrowthInside1X128);
        // clear any tick data that is no longer needed
        if (liquidityDelta < 0) {
            if (flippedLower) {
                ticks.clear(tickLower);
            }
            if (flippedUpper) {
                ticks.clear(tickUpper);
            }
        }
    }
    /// @inheritdoc IPancakeV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        require(amount > 0);
        (, int256 amount0Int, int256 amount1Int) = _modifyPosition(
            ModifyPositionParams({
                owner: recipient,
                tickLower: tickLower,
                tickUpper: tickUpper,
                liquidityDelta: int256(amount).toInt128()
            })
        );
        amount0 = uint256(amount0Int);
        amount1 = uint256(amount1Int);
        uint256 balance0Before;
        uint256 balance1Before;
        if (amount0 > 0) balance0Before = balance0();
        if (amount1 > 0) balance1Before = balance1();
        IPancakeV3MintCallback(msg.sender).pancakeV3MintCallback(amount0, amount1, data);
        if (amount0 > 0) require(balance0Before.add(amount0) <= balance0(), 'M0');
        if (amount1 > 0) require(balance1Before.add(amount1) <= balance1(), 'M1');
        emit Mint(msg.sender, recipient, tickLower, tickUpper, amount, amount0, amount1);
    }
    /// @inheritdoc IPancakeV3PoolActions
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock returns (uint128 amount0, uint128 amount1) {
        // we don't need to checkTicks here, because invalid positions will never have non-zero tokensOwed{0,1}
        Position.Info storage position = positions.get(msg.sender, tickLower, tickUpper);
        amount0 = amount0Requested > position.tokensOwed0 ? position.tokensOwed0 : amount0Requested;
        amount1 = amount1Requested > position.tokensOwed1 ? position.tokensOwed1 : amount1Requested;
        if (amount0 > 0) {
            position.tokensOwed0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            position.tokensOwed1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit Collect(msg.sender, recipient, tickLower, tickUpper, amount0, amount1);
    }
    /// @inheritdoc IPancakeV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        (Position.Info storage position, int256 amount0Int, int256 amount1Int) = _modifyPosition(
            ModifyPositionParams({
                owner: msg.sender,
                tickLower: tickLower,
                tickUpper: tickUpper,
                liquidityDelta: -int256(amount).toInt128()
            })
        );
        amount0 = uint256(-amount0Int);
        amount1 = uint256(-amount1Int);
        if (amount0 > 0 || amount1 > 0) {
            (position.tokensOwed0, position.tokensOwed1) = (
                position.tokensOwed0 + uint128(amount0),
                position.tokensOwed1 + uint128(amount1)
            );
        }
        emit Burn(msg.sender, tickLower, tickUpper, amount, amount0, amount1);
    }
    struct SwapCache {
        // the protocol fee for the input token
        uint32 feeProtocol;
        // liquidity at the beginning of the swap
        uint128 liquidityStart;
        // the timestamp of the current block
        uint32 blockTimestamp;
        // the current value of the tick accumulator, computed only if we cross an initialized tick
        int56 tickCumulative;
        // the current value of seconds per liquidity accumulator, computed only if we cross an initialized tick
        uint160 secondsPerLiquidityCumulativeX128;
        // whether we've computed and cached the above two accumulators
        bool computedLatestObservation;
    }
    // the top level state of the swap, the results of which are recorded in storage at the end
    struct SwapState {
        // the amount remaining to be swapped in/out of the input/output asset
        int256 amountSpecifiedRemaining;
        // the amount already swapped out/in of the output/input asset
        int256 amountCalculated;
        // current sqrt(price)
        uint160 sqrtPriceX96;
        // the tick associated with the current price
        int24 tick;
        // the global fee growth of the input token
        uint256 feeGrowthGlobalX128;
        // amount of input token paid as protocol fee
        uint128 protocolFee;
        // the current liquidity in range
        uint128 liquidity;
    }
    struct StepComputations {
        // the price at the beginning of the step
        uint160 sqrtPriceStartX96;
        // the next tick to swap to from the current tick in the swap direction
        int24 tickNext;
        // whether tickNext is initialized or not
        bool initialized;
        // sqrt(price) for the next tick (1/0)
        uint160 sqrtPriceNextX96;
        // how much is being swapped in in this step
        uint256 amountIn;
        // how much is being swapped out
        uint256 amountOut;
        // how much fee is being paid in
        uint256 feeAmount;
    }
    /// @inheritdoc IPancakeV3PoolActions
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external override returns (int256 amount0, int256 amount1) {
        require(amountSpecified != 0, 'AS');
        Slot0 memory slot0Start = slot0;
        require(slot0Start.unlocked, 'LOK');
        require(
            zeroForOne
                ? sqrtPriceLimitX96 < slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 > TickMath.MIN_SQRT_RATIO
                : sqrtPriceLimitX96 > slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 < TickMath.MAX_SQRT_RATIO,
            'SPL'
        );
        slot0.unlocked = false;
        SwapCache memory cache = SwapCache({
            liquidityStart: liquidity,
            blockTimestamp: _blockTimestamp(),
            feeProtocol: zeroForOne ? (slot0Start.feeProtocol % PROTOCOL_FEE_SP) : (slot0Start.feeProtocol >> 16),
            secondsPerLiquidityCumulativeX128: 0,
            tickCumulative: 0,
            computedLatestObservation: false
        });
        if (address(lmPool) != address(0)) {
          lmPool.accumulateReward(cache.blockTimestamp);
        }
        bool exactInput = amountSpecified > 0;
        SwapState memory state = SwapState({
            amountSpecifiedRemaining: amountSpecified,
            amountCalculated: 0,
            sqrtPriceX96: slot0Start.sqrtPriceX96,
            tick: slot0Start.tick,
            feeGrowthGlobalX128: zeroForOne ? feeGrowthGlobal0X128 : feeGrowthGlobal1X128,
            protocolFee: 0,
            liquidity: cache.liquidityStart
        });
        // continue swapping as long as we haven't used the entire input/output and haven't reached the price limit
        while (state.amountSpecifiedRemaining != 0 && state.sqrtPriceX96 != sqrtPriceLimitX96) {
            StepComputations memory step;
            step.sqrtPriceStartX96 = state.sqrtPriceX96;
            (step.tickNext, step.initialized) = tickBitmap.nextInitializedTickWithinOneWord(
                state.tick,
                tickSpacing,
                zeroForOne
            );
            // ensure that we do not overshoot the min/max tick, as the tick bitmap is not aware of these bounds
            if (step.tickNext < TickMath.MIN_TICK) {
                step.tickNext = TickMath.MIN_TICK;
            } else if (step.tickNext > TickMath.MAX_TICK) {
                step.tickNext = TickMath.MAX_TICK;
            }
            // get the price for the next tick
            step.sqrtPriceNextX96 = TickMath.getSqrtRatioAtTick(step.tickNext);
            // compute values to swap to the target tick, price limit, or point where input/output amount is exhausted
            (state.sqrtPriceX96, step.amountIn, step.amountOut, step.feeAmount) = SwapMath.computeSwapStep(
                state.sqrtPriceX96,
                (zeroForOne ? step.sqrtPriceNextX96 < sqrtPriceLimitX96 : step.sqrtPriceNextX96 > sqrtPriceLimitX96)
                    ? sqrtPriceLimitX96
                    : step.sqrtPriceNextX96,
                state.liquidity,
                state.amountSpecifiedRemaining,
                fee
            );
            if (exactInput) {
                state.amountSpecifiedRemaining -= (step.amountIn + step.feeAmount).toInt256();
                state.amountCalculated = state.amountCalculated.sub(step.amountOut.toInt256());
            } else {
                state.amountSpecifiedRemaining += step.amountOut.toInt256();
                state.amountCalculated = state.amountCalculated.add((step.amountIn + step.feeAmount).toInt256());
            }
            // if the protocol fee is on, calculate how much is owed, decrement feeAmount, and increment protocolFee
            if (cache.feeProtocol > 0) {
                uint256 delta = (step.feeAmount.mul(cache.feeProtocol)) / PROTOCOL_FEE_DENOMINATOR;
                step.feeAmount -= delta;
                state.protocolFee += uint128(delta);
            }
            // update global fee tracker
            if (state.liquidity > 0)
                state.feeGrowthGlobalX128 += FullMath.mulDiv(step.feeAmount, FixedPoint128.Q128, state.liquidity);
            // shift tick if we reached the next price
            if (state.sqrtPriceX96 == step.sqrtPriceNextX96) {
                // if the tick is initialized, run the tick transition
                if (step.initialized) {
                    // check for the placeholder value, which we replace with the actual value the first time the swap
                    // crosses an initialized tick
                    if (!cache.computedLatestObservation) {
                        (cache.tickCumulative, cache.secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                            cache.blockTimestamp,
                            0,
                            slot0Start.tick,
                            slot0Start.observationIndex,
                            cache.liquidityStart,
                            slot0Start.observationCardinality
                        );
                        cache.computedLatestObservation = true;
                    }
                    if (address(lmPool) != address(0)) {
                      lmPool.crossLmTick(step.tickNext, zeroForOne);
                    }
                    int128 liquidityNet = ticks.cross(
                        step.tickNext,
                        (zeroForOne ? state.feeGrowthGlobalX128 : feeGrowthGlobal0X128),
                        (zeroForOne ? feeGrowthGlobal1X128 : state.feeGrowthGlobalX128),
                        cache.secondsPerLiquidityCumulativeX128,
                        cache.tickCumulative,
                        cache.blockTimestamp
                    );
                    // if we're moving leftward, we interpret liquidityNet as the opposite sign
                    // safe because liquidityNet cannot be type(int128).min
                    if (zeroForOne) liquidityNet = -liquidityNet;
                    state.liquidity = LiquidityMath.addDelta(state.liquidity, liquidityNet);
                }
                state.tick = zeroForOne ? step.tickNext - 1 : step.tickNext;
            } else if (state.sqrtPriceX96 != step.sqrtPriceStartX96) {
                // recompute unless we're on a lower tick boundary (i.e. already transitioned ticks), and haven't moved
                state.tick = TickMath.getTickAtSqrtRatio(state.sqrtPriceX96);
            }
        }
        // update tick and write an oracle entry if the tick change
        if (state.tick != slot0Start.tick) {
            (uint16 observationIndex, uint16 observationCardinality) = observations.write(
                slot0Start.observationIndex,
                cache.blockTimestamp,
                slot0Start.tick,
                cache.liquidityStart,
                slot0Start.observationCardinality,
                slot0Start.observationCardinalityNext
            );
            (slot0.sqrtPriceX96, slot0.tick, slot0.observationIndex, slot0.observationCardinality) = (
                state.sqrtPriceX96,
                state.tick,
                observationIndex,
                observationCardinality
            );
        } else {
            // otherwise just update the price
            slot0.sqrtPriceX96 = state.sqrtPriceX96;
        }
        // update liquidity if it changed
        if (cache.liquidityStart != state.liquidity) liquidity = state.liquidity;
        uint128 protocolFeesToken0 = 0;
        uint128 protocolFeesToken1 = 0;
        // update fee growth global and, if necessary, protocol fees
        // overflow is acceptable, protocol has to withdraw before it hits type(uint128).max fees
        if (zeroForOne) {
            feeGrowthGlobal0X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token0 += state.protocolFee;
            protocolFeesToken0 = state.protocolFee;
        } else {
            feeGrowthGlobal1X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token1 += state.protocolFee;
            protocolFeesToken1 = state.protocolFee;
        }
        (amount0, amount1) = zeroForOne == exactInput
            ? (amountSpecified - state.amountSpecifiedRemaining, state.amountCalculated)
            : (state.amountCalculated, amountSpecified - state.amountSpecifiedRemaining);
        // do the transfers and collect payment
        if (zeroForOne) {
            if (amount1 < 0) TransferHelper.safeTransfer(token1, recipient, uint256(-amount1));
            uint256 balance0Before = balance0();
            IPancakeV3SwapCallback(msg.sender).pancakeV3SwapCallback(amount0, amount1, data);
            require(balance0Before.add(uint256(amount0)) <= balance0(), 'IIA');
        } else {
            if (amount0 < 0) TransferHelper.safeTransfer(token0, recipient, uint256(-amount0));
            uint256 balance1Before = balance1();
            IPancakeV3SwapCallback(msg.sender).pancakeV3SwapCallback(amount0, amount1, data);
            require(balance1Before.add(uint256(amount1)) <= balance1(), 'IIA');
        }
        emit Swap(msg.sender, recipient, amount0, amount1, state.sqrtPriceX96, state.liquidity, state.tick, protocolFeesToken0, protocolFeesToken1);
        slot0.unlocked = true;
    }
    /// @inheritdoc IPancakeV3PoolActions
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external override lock {
        uint128 _liquidity = liquidity;
        require(_liquidity > 0, 'L');
        uint256 fee0 = FullMath.mulDivRoundingUp(amount0, fee, 1e6);
        uint256 fee1 = FullMath.mulDivRoundingUp(amount1, fee, 1e6);
        uint256 balance0Before = balance0();
        uint256 balance1Before = balance1();
        if (amount0 > 0) TransferHelper.safeTransfer(token0, recipient, amount0);
        if (amount1 > 0) TransferHelper.safeTransfer(token1, recipient, amount1);
        IPancakeV3FlashCallback(msg.sender).pancakeV3FlashCallback(fee0, fee1, data);
        uint256 balance0After = balance0();
        uint256 balance1After = balance1();
        require(balance0Before.add(fee0) <= balance0After, 'F0');
        require(balance1Before.add(fee1) <= balance1After, 'F1');
        // sub is safe because we know balanceAfter is gt balanceBefore by at least fee
        uint256 paid0 = balance0After - balance0Before;
        uint256 paid1 = balance1After - balance1Before;
        if (paid0 > 0) {
            uint32 feeProtocol0 = slot0.feeProtocol % PROTOCOL_FEE_SP;
            uint256 fees0 = feeProtocol0 == 0 ? 0 : (paid0 * feeProtocol0) / PROTOCOL_FEE_DENOMINATOR;
            if (uint128(fees0) > 0) protocolFees.token0 += uint128(fees0);
            feeGrowthGlobal0X128 += FullMath.mulDiv(paid0 - fees0, FixedPoint128.Q128, _liquidity);
        }
        if (paid1 > 0) {
            uint32 feeProtocol1 = slot0.feeProtocol >> 16;
            uint256 fees1 = feeProtocol1 == 0 ? 0 : (paid1 * feeProtocol1) / PROTOCOL_FEE_DENOMINATOR;
            if (uint128(fees1) > 0) protocolFees.token1 += uint128(fees1);
            feeGrowthGlobal1X128 += FullMath.mulDiv(paid1 - fees1, FixedPoint128.Q128, _liquidity);
        }
        emit Flash(msg.sender, recipient, amount0, amount1, paid0, paid1);
    }
    /// @inheritdoc IPancakeV3PoolOwnerActions
    function setFeeProtocol(uint32 feeProtocol0, uint32 feeProtocol1) external override lock onlyFactoryOrFactoryOwner {
        require(
            (feeProtocol0 == 0 || (feeProtocol0 >= 1000 && feeProtocol0 <= 4000)) &&
            (feeProtocol1 == 0 || (feeProtocol1 >= 1000 && feeProtocol1 <= 4000))
        );
        uint32 feeProtocolOld = slot0.feeProtocol;
        slot0.feeProtocol = feeProtocol0 + (feeProtocol1 << 16);
        emit SetFeeProtocol(feeProtocolOld % PROTOCOL_FEE_SP, feeProtocolOld >> 16, feeProtocol0, feeProtocol1);
    }
    /// @inheritdoc IPancakeV3PoolOwnerActions
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock onlyFactoryOrFactoryOwner returns (uint128 amount0, uint128 amount1) {
        amount0 = amount0Requested > protocolFees.token0 ? protocolFees.token0 : amount0Requested;
        amount1 = amount1Requested > protocolFees.token1 ? protocolFees.token1 : amount1Requested;
        if (amount0 > 0) {
            if (amount0 == protocolFees.token0) amount0--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            if (amount1 == protocolFees.token1) amount1--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit CollectProtocol(msg.sender, recipient, amount0, amount1);
    }
    function setLmPool(address _lmPool) external override onlyFactoryOrFactoryOwner {
      lmPool = IPancakeV3LmPool(_lmPool);
      emit SetLmPoolEvent(address(_lmPool));
    }
}

# @version 0.2.4
# (c) Curve.Fi, 2020
# Pool for DAI/USDC/USDT

from vyper.interfaces import ERC20

interface CurveToken:
    def totalSupply() -> uint256: view
    def mint(_to: address, _value: uint256) -> bool: nonpayable
    def burnFrom(_to: address, _value: uint256) -> bool: nonpayable


# Events
event TokenExchange:
    buyer: indexed(address)
    sold_id: int128
    tokens_sold: uint256
    bought_id: int128
    tokens_bought: uint256


event AddLiquidity:
    provider: indexed(address)
    token_amounts: uint256[N_COINS]
    fees: uint256[N_COINS]
    invariant: uint256
    token_supply: uint256

event RemoveLiquidity:
    provider: indexed(address)
    token_amounts: uint256[N_COINS]
    fees: uint256[N_COINS]
    token_supply: uint256

event RemoveLiquidityOne:
    provider: indexed(address)
    token_amount: uint256
    coin_amount: uint256

event RemoveLiquidityImbalance:
    provider: indexed(address)
    token_amounts: uint256[N_COINS]
    fees: uint256[N_COINS]
    invariant: uint256
    token_supply: uint256

event CommitNewAdmin:
    deadline: indexed(uint256)
    admin: indexed(address)

event NewAdmin:
    admin: indexed(address)


event CommitNewFee:
    deadline: indexed(uint256)
    fee: uint256
    admin_fee: uint256

event NewFee:
    fee: uint256
    admin_fee: uint256

event RampA:
    old_A: uint256
    new_A: uint256
    initial_time: uint256
    future_time: uint256

event StopRampA:
    A: uint256
    t: uint256


# This can (and needs to) be changed at compile time
N_COINS: constant(int128) = 3  # <- change

FEE_DENOMINATOR: constant(uint256) = 10 ** 10
LENDING_PRECISION: constant(uint256) = 10 ** 18
PRECISION: constant(uint256) = 10 ** 18  # The precision to convert to
PRECISION_MUL: constant(uint256[N_COINS]) = [1, 1000000000000, 1000000000000]
RATES: constant(uint256[N_COINS]) = [1000000000000000000, 1000000000000000000000000000000, 1000000000000000000000000000000]
FEE_INDEX: constant(int128) = 2  # Which coin may potentially have fees (USDT)

MAX_ADMIN_FEE: constant(uint256) = 10 * 10 ** 9
MAX_FEE: constant(uint256) = 5 * 10 ** 9
MAX_A: constant(uint256) = 10 ** 6
MAX_A_CHANGE: constant(uint256) = 10

ADMIN_ACTIONS_DELAY: constant(uint256) = 3 * 86400
MIN_RAMP_TIME: constant(uint256) = 86400

coins: public(address[N_COINS])
balances: public(uint256[N_COINS])
fee: public(uint256)  # fee * 1e10
admin_fee: public(uint256)  # admin_fee * 1e10

owner: public(address)
token: CurveToken

initial_A: public(uint256)
future_A: public(uint256)
initial_A_time: public(uint256)
future_A_time: public(uint256)

admin_actions_deadline: public(uint256)
transfer_ownership_deadline: public(uint256)
future_fee: public(uint256)
future_admin_fee: public(uint256)
future_owner: public(address)

is_killed: bool
kill_deadline: uint256
KILL_DEADLINE_DT: constant(uint256) = 2 * 30 * 86400


@external
def __init__(
    _owner: address,
    _coins: address[N_COINS],
    _pool_token: address,
    _A: uint256,
    _fee: uint256,
    _admin_fee: uint256
):
    """
    @notice Contract constructor
    @param _owner Contract owner address
    @param _coins Addresses of ERC20 conracts of coins
    @param _pool_token Address of the token representing LP share
    @param _A Amplification coefficient multiplied by n * (n - 1)
    @param _fee Fee to charge for exchanges
    @param _admin_fee Admin fee
    """
    for i in range(N_COINS):
        assert _coins[i] != ZERO_ADDRESS
    self.coins = _coins
    self.initial_A = _A
    self.future_A = _A
    self.fee = _fee
    self.admin_fee = _admin_fee
    self.owner = _owner
    self.kill_deadline = block.timestamp + KILL_DEADLINE_DT
    self.token = CurveToken(_pool_token)


@view
@internal
def _A() -> uint256:
    """
    Handle ramping A up or down
    """
    t1: uint256 = self.future_A_time
    A1: uint256 = self.future_A

    if block.timestamp < t1:
        A0: uint256 = self.initial_A
        t0: uint256 = self.initial_A_time
        # Expressions in uint256 cannot have negative numbers, thus "if"
        if A1 > A0:
            return A0 + (A1 - A0) * (block.timestamp - t0) / (t1 - t0)
        else:
            return A0 - (A0 - A1) * (block.timestamp - t0) / (t1 - t0)

    else:  # when t1 == 0 or block.timestamp >= t1
        return A1


@view
@external
def A() -> uint256:
    return self._A()


@view
@internal
def _xp() -> uint256[N_COINS]:
    result: uint256[N_COINS] = RATES
    for i in range(N_COINS):
        result[i] = result[i] * self.balances[i] / LENDING_PRECISION
    return result


@pure
@internal
def _xp_mem(_balances: uint256[N_COINS]) -> uint256[N_COINS]:
    result: uint256[N_COINS] = RATES
    for i in range(N_COINS):
        result[i] = result[i] * _balances[i] / PRECISION
    return result


@pure
@internal
def get_D(xp: uint256[N_COINS], amp: uint256) -> uint256:
    S: uint256 = 0
    for _x in xp:
        S += _x
    if S == 0:
        return 0

    Dprev: uint256 = 0
    D: uint256 = S
    Ann: uint256 = amp * N_COINS
    for _i in range(255):
        D_P: uint256 = D
        for _x in xp:
            D_P = D_P * D / (_x * N_COINS)  # If division by 0, this will be borked: only withdrawal will work. And that is good
        Dprev = D
        D = (Ann * S + D_P * N_COINS) * D / ((Ann - 1) * D + (N_COINS + 1) * D_P)
        # Equality with the precision of 1
        if D > Dprev:
            if D - Dprev <= 1:
                break
        else:
            if Dprev - D <= 1:
                break
    return D


@view
@internal
def get_D_mem(_balances: uint256[N_COINS], amp: uint256) -> uint256:
    return self.get_D(self._xp_mem(_balances), amp)


@view
@external
def get_virtual_price() -> uint256:
    """
    Returns portfolio virtual price (for calculating profit)
    scaled up by 1e18
    """
    D: uint256 = self.get_D(self._xp(), self._A())
    # D is in the units similar to DAI (e.g. converted to precision 1e18)
    # When balanced, D = n * x_u - total virtual value of the portfolio
    token_supply: uint256 = self.token.totalSupply()
    return D * PRECISION / token_supply


@view
@external
def calc_token_amount(amounts: uint256[N_COINS], deposit: bool) -> uint256:
    """
    Simplified method to calculate addition or reduction in token supply at
    deposit or withdrawal without taking fees into account (but looking at
    slippage).
    Needed to prevent front-running, not for precise calculations!
    """
    _balances: uint256[N_COINS] = self.balances
    amp: uint256 = self._A()
    D0: uint256 = self.get_D_mem(_balances, amp)
    for i in range(N_COINS):
        if deposit:
            _balances[i] += amounts[i]
        else:
            _balances[i] -= amounts[i]
    D1: uint256 = self.get_D_mem(_balances, amp)
    token_amount: uint256 = self.token.totalSupply()
    diff: uint256 = 0
    if deposit:
        diff = D1 - D0
    else:
        diff = D0 - D1
    return diff * token_amount / D0


@external
@nonreentrant('lock')
def add_liquidity(amounts: uint256[N_COINS], min_mint_amount: uint256):
    assert not self.is_killed  # dev: is killed

    fees: uint256[N_COINS] = empty(uint256[N_COINS])
    _fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
    _admin_fee: uint256 = self.admin_fee
    amp: uint256 = self._A()

    token_supply: uint256 = self.token.totalSupply()
    # Initial invariant
    D0: uint256 = 0
    old_balances: uint256[N_COINS] = self.balances
    if token_supply > 0:
        D0 = self.get_D_mem(old_balances, amp)
    new_balances: uint256[N_COINS] = old_balances

    for i in range(N_COINS):
        in_amount: uint256 = amounts[i]
        if token_supply == 0:
            assert in_amount > 0  # dev: initial deposit requires all coins
        in_coin: address = self.coins[i]

        # Take coins from the sender
        if in_amount > 0:
            if i == FEE_INDEX:
                in_amount = ERC20(in_coin).balanceOf(self)

            # "safeTransferFrom" which works for ERC20s which return bool or not
            _response: Bytes[32] = raw_call(
                in_coin,
                concat(
                    method_id("transferFrom(address,address,uint256)"),
                    convert(msg.sender, bytes32),
                    convert(self, bytes32),
                    convert(amounts[i], bytes32),
                ),
                max_outsize=32,
            )  # dev: failed transfer
            if len(_response) > 0:
                assert convert(_response, bool)  # dev: failed transfer

            if i == FEE_INDEX:
                in_amount = ERC20(in_coin).balanceOf(self) - in_amount

        new_balances[i] = old_balances[i] + in_amount

    # Invariant after change
    D1: uint256 = self.get_D_mem(new_balances, amp)
    assert D1 > D0

    # We need to recalculate the invariant accounting for fees
    # to calculate fair user's share
    D2: uint256 = D1
    if token_supply > 0:
        # Only account for fees if we are not the first to deposit
        for i in range(N_COINS):
            ideal_balance: uint256 = D1 * old_balances[i] / D0
            difference: uint256 = 0
            if ideal_balance > new_balances[i]:
                difference = ideal_balance - new_balances[i]
            else:
                difference = new_balances[i] - ideal_balance
            fees[i] = _fee * difference / FEE_DENOMINATOR
            self.balances[i] = new_balances[i] - (fees[i] * _admin_fee / FEE_DENOMINATOR)
            new_balances[i] -= fees[i]
        D2 = self.get_D_mem(new_balances, amp)
    else:
        self.balances = new_balances

    # Calculate, how much pool tokens to mint
    mint_amount: uint256 = 0
    if token_supply == 0:
        mint_amount = D1  # Take the dust if there was any
    else:
        mint_amount = token_supply * (D2 - D0) / D0

    assert mint_amount >= min_mint_amount, "Slippage screwed you"

    # Mint pool tokens
    self.token.mint(msg.sender, mint_amount)

    log AddLiquidity(msg.sender, amounts, fees, D1, token_supply + mint_amount)


@view
@internal
def get_y(i: int128, j: int128, x: uint256, xp_: uint256[N_COINS]) -> uint256:
    # x in the input is converted to the same price/precision

    assert i != j       # dev: same coin
    assert j >= 0       # dev: j below zero
    assert j < N_COINS  # dev: j above N_COINS

    # should be unreachable, but good for safety
    assert i >= 0
    assert i < N_COINS

    amp: uint256 = self._A()
    D: uint256 = self.get_D(xp_, amp)
    c: uint256 = D
    S_: uint256 = 0
    Ann: uint256 = amp * N_COINS

    _x: uint256 = 0
    for _i in range(N_COINS):
        if _i == i:
            _x = x
        elif _i != j:
            _x = xp_[_i]
        else:
            continue
        S_ += _x
        c = c * D / (_x * N_COINS)
    c = c * D / (Ann * N_COINS)
    b: uint256 = S_ + D / Ann  # - D
    y_prev: uint256 = 0
    y: uint256 = D
    for _i in range(255):
        y_prev = y
        y = (y*y + c) / (2 * y + b - D)
        # Equality with the precision of 1
        if y > y_prev:
            if y - y_prev <= 1:
                break
        else:
            if y_prev - y <= 1:
                break
    return y


@view
@external
def get_dy(i: int128, j: int128, dx: uint256) -> uint256:
    # dx and dy in c-units
    rates: uint256[N_COINS] = RATES
    xp: uint256[N_COINS] = self._xp()

    x: uint256 = xp[i] + (dx * rates[i] / PRECISION)
    y: uint256 = self.get_y(i, j, x, xp)
    dy: uint256 = (xp[j] - y - 1) * PRECISION / rates[j]
    _fee: uint256 = self.fee * dy / FEE_DENOMINATOR
    return dy - _fee


@view
@external
def get_dy_underlying(i: int128, j: int128, dx: uint256) -> uint256:
    # dx and dy in underlying units
    xp: uint256[N_COINS] = self._xp()
    precisions: uint256[N_COINS] = PRECISION_MUL

    x: uint256 = xp[i] + dx * precisions[i]
    y: uint256 = self.get_y(i, j, x, xp)
    dy: uint256 = (xp[j] - y - 1) / precisions[j]
    _fee: uint256 = self.fee * dy / FEE_DENOMINATOR
    return dy - _fee



@external
@nonreentrant('lock')
def exchange(i: int128, j: int128, dx: uint256, min_dy: uint256):
    assert not self.is_killed  # dev: is killed
    rates: uint256[N_COINS] = RATES

    old_balances: uint256[N_COINS] = self.balances
    xp: uint256[N_COINS] = self._xp_mem(old_balances)

    # Handling an unexpected charge of a fee on transfer (USDT, PAXG)
    dx_w_fee: uint256 = dx
    input_coin: address = self.coins[i]

    if i == FEE_INDEX:
        dx_w_fee = ERC20(input_coin).balanceOf(self)

    # "safeTransferFrom" which works for ERC20s which return bool or not
    _response: Bytes[32] = raw_call(
        input_coin,
        concat(
            method_id("transferFrom(address,address,uint256)"),
            convert(msg.sender, bytes32),
            convert(self, bytes32),
            convert(dx, bytes32),
        ),
        max_outsize=32,
    )  # dev: failed transfer
    if len(_response) > 0:
        assert convert(_response, bool)  # dev: failed transfer

    if i == FEE_INDEX:
        dx_w_fee = ERC20(input_coin).balanceOf(self) - dx_w_fee

    x: uint256 = xp[i] + dx_w_fee * rates[i] / PRECISION
    y: uint256 = self.get_y(i, j, x, xp)

    dy: uint256 = xp[j] - y - 1  # -1 just in case there were some rounding errors
    dy_fee: uint256 = dy * self.fee / FEE_DENOMINATOR

    # Convert all to real units
    dy = (dy - dy_fee) * PRECISION / rates[j]
    assert dy >= min_dy, "Exchange resulted in fewer coins than expected"

    dy_admin_fee: uint256 = dy_fee * self.admin_fee / FEE_DENOMINATOR
    dy_admin_fee = dy_admin_fee * PRECISION / rates[j]

    # Change balances exactly in same way as we change actual ERC20 coin amounts
    self.balances[i] = old_balances[i] + dx_w_fee
    # When rounding errors happen, we undercharge admin fee in favor of LP
    self.balances[j] = old_balances[j] - dy - dy_admin_fee

    # "safeTransfer" which works for ERC20s which return bool or not
    _response = raw_call(
        self.coins[j],
        concat(
            method_id("transfer(address,uint256)"),
            convert(msg.sender, bytes32),
            convert(dy, bytes32),
        ),
        max_outsize=32,
    )  # dev: failed transfer
    if len(_response) > 0:
        assert convert(_response, bool)  # dev: failed transfer

    log TokenExchange(msg.sender, i, dx, j, dy)


@external
@nonreentrant('lock')
def remove_liquidity(_amount: uint256, min_amounts: uint256[N_COINS]):
    total_supply: uint256 = self.token.totalSupply()
    amounts: uint256[N_COINS] = empty(uint256[N_COINS])
    fees: uint256[N_COINS] = empty(uint256[N_COINS])  # Fees are unused but we've got them historically in event

    for i in range(N_COINS):
        value: uint256 = self.balances[i] * _amount / total_supply
        assert value >= min_amounts[i], "Withdrawal resulted in fewer coins than expected"
        self.balances[i] -= value
        amounts[i] = value

        # "safeTransfer" which works for ERC20s which return bool or not
        _response: Bytes[32] = raw_call(
            self.coins[i],
            concat(
                method_id("transfer(address,uint256)"),
                convert(msg.sender, bytes32),
                convert(value, bytes32),
            ),
            max_outsize=32,
        )  # dev: failed transfer
        if len(_response) > 0:
            assert convert(_response, bool)  # dev: failed transfer

    self.token.burnFrom(msg.sender, _amount)  # dev: insufficient funds

    log RemoveLiquidity(msg.sender, amounts, fees, total_supply - _amount)


@external
@nonreentrant('lock')
def remove_liquidity_imbalance(amounts: uint256[N_COINS], max_burn_amount: uint256):
    assert not self.is_killed  # dev: is killed

    token_supply: uint256 = self.token.totalSupply()
    assert token_supply != 0  # dev: zero total supply
    _fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
    _admin_fee: uint256 = self.admin_fee
    amp: uint256 = self._A()

    old_balances: uint256[N_COINS] = self.balances
    new_balances: uint256[N_COINS] = old_balances
    D0: uint256 = self.get_D_mem(old_balances, amp)
    for i in range(N_COINS):
        new_balances[i] -= amounts[i]
    D1: uint256 = self.get_D_mem(new_balances, amp)
    fees: uint256[N_COINS] = empty(uint256[N_COINS])
    for i in range(N_COINS):
        ideal_balance: uint256 = D1 * old_balances[i] / D0
        difference: uint256 = 0
        if ideal_balance > new_balances[i]:
            difference = ideal_balance - new_balances[i]
        else:
            difference = new_balances[i] - ideal_balance
        fees[i] = _fee * difference / FEE_DENOMINATOR
        self.balances[i] = new_balances[i] - (fees[i] * _admin_fee / FEE_DENOMINATOR)
        new_balances[i] -= fees[i]
    D2: uint256 = self.get_D_mem(new_balances, amp)

    token_amount: uint256 = (D0 - D2) * token_supply / D0
    assert token_amount != 0  # dev: zero tokens burned
    token_amount += 1  # In case of rounding errors - make it unfavorable for the "attacker"
    assert token_amount <= max_burn_amount, "Slippage screwed you"

    self.token.burnFrom(msg.sender, token_amount)  # dev: insufficient funds
    for i in range(N_COINS):
        if amounts[i] != 0:

            # "safeTransfer" which works for ERC20s which return bool or not
            _response: Bytes[32] = raw_call(
                self.coins[i],
                concat(
                    method_id("transfer(address,uint256)"),
                    convert(msg.sender, bytes32),
                    convert(amounts[i], bytes32),
                ),
                max_outsize=32,
            )  # dev: failed transfer
            if len(_response) > 0:
                assert convert(_response, bool)  # dev: failed transfer

    log RemoveLiquidityImbalance(msg.sender, amounts, fees, D1, token_supply - token_amount)


@view
@internal
def get_y_D(A_: uint256, i: int128, xp: uint256[N_COINS], D: uint256) -> uint256:
    """
    Calculate x[i] if one reduces D from being calculated for xp to D

    Done by solving quadratic equation iteratively.
    x_1**2 + x1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A)
    x_1**2 + b*x_1 = c

    x_1 = (x_1**2 + c) / (2*x_1 + b)
    """
    # x in the input is converted to the same price/precision

    assert i >= 0  # dev: i below zero
    assert i < N_COINS  # dev: i above N_COINS

    c: uint256 = D
    S_: uint256 = 0
    Ann: uint256 = A_ * N_COINS

    _x: uint256 = 0
    for _i in range(N_COINS):
        if _i != i:
            _x = xp[_i]
        else:
            continue
        S_ += _x
        c = c * D / (_x * N_COINS)
    c = c * D / (Ann * N_COINS)
    b: uint256 = S_ + D / Ann
    y_prev: uint256 = 0
    y: uint256 = D
    for _i in range(255):
        y_prev = y
        y = (y*y + c) / (2 * y + b - D)
        # Equality with the precision of 1
        if y > y_prev:
            if y - y_prev <= 1:
                break
        else:
            if y_prev - y <= 1:
                break
    return y


@view
@internal
def _calc_withdraw_one_coin(_token_amount: uint256, i: int128) -> (uint256, uint256):
    # First, need to calculate
    # * Get current D
    # * Solve Eqn against y_i for D - _token_amount
    amp: uint256 = self._A()
    _fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
    precisions: uint256[N_COINS] = PRECISION_MUL
    total_supply: uint256 = self.token.totalSupply()

    xp: uint256[N_COINS] = self._xp()

    D0: uint256 = self.get_D(xp, amp)
    D1: uint256 = D0 - _token_amount * D0 / total_supply
    xp_reduced: uint256[N_COINS] = xp

    new_y: uint256 = self.get_y_D(amp, i, xp, D1)
    dy_0: uint256 = (xp[i] - new_y) / precisions[i]  # w/o fees

    for j in range(N_COINS):
        dx_expected: uint256 = 0
        if j == i:
            dx_expected = xp[j] * D1 / D0 - new_y
        else:
            dx_expected = xp[j] - xp[j] * D1 / D0
        xp_reduced[j] -= _fee * dx_expected / FEE_DENOMINATOR

    dy: uint256 = xp_reduced[i] - self.get_y_D(amp, i, xp_reduced, D1)
    dy = (dy - 1) / precisions[i]  # Withdraw less to account for rounding errors

    return dy, dy_0 - dy


@view
@external
def calc_withdraw_one_coin(_token_amount: uint256, i: int128) -> uint256:
    return self._calc_withdraw_one_coin(_token_amount, i)[0]


@external
@nonreentrant('lock')
def remove_liquidity_one_coin(_token_amount: uint256, i: int128, min_amount: uint256):
    """
    Remove _amount of liquidity all in a form of coin i
    """
    assert not self.is_killed  # dev: is killed

    dy: uint256 = 0
    dy_fee: uint256 = 0
    dy, dy_fee = self._calc_withdraw_one_coin(_token_amount, i)
    assert dy >= min_amount, "Not enough coins removed"

    self.balances[i] -= (dy + dy_fee * self.admin_fee / FEE_DENOMINATOR)
    self.token.burnFrom(msg.sender, _token_amount)  # dev: insufficient funds

    # "safeTransfer" which works for ERC20s which return bool or not
    _response: Bytes[32] = raw_call(
        self.coins[i],
        concat(
            method_id("transfer(address,uint256)"),
            convert(msg.sender, bytes32),
            convert(dy, bytes32),
        ),
        max_outsize=32,
    )  # dev: failed transfer
    if len(_response) > 0:
        assert convert(_response, bool)  # dev: failed transfer

    log RemoveLiquidityOne(msg.sender, _token_amount, dy)


### Admin functions ###
@external
def ramp_A(_future_A: uint256, _future_time: uint256):
    assert msg.sender == self.owner  # dev: only owner
    assert block.timestamp >= self.initial_A_time + MIN_RAMP_TIME
    assert _future_time >= block.timestamp + MIN_RAMP_TIME  # dev: insufficient time

    _initial_A: uint256 = self._A()
    assert (_future_A > 0) and (_future_A < MAX_A)
    assert ((_future_A >= _initial_A) and (_future_A <= _initial_A * MAX_A_CHANGE)) or\
           ((_future_A < _initial_A) and (_future_A * MAX_A_CHANGE >= _initial_A))
    self.initial_A = _initial_A
    self.future_A = _future_A
    self.initial_A_time = block.timestamp
    self.future_A_time = _future_time

    log RampA(_initial_A, _future_A, block.timestamp, _future_time)


@external
def stop_ramp_A():
    assert msg.sender == self.owner  # dev: only owner

    current_A: uint256 = self._A()
    self.initial_A = current_A
    self.future_A = current_A
    self.initial_A_time = block.timestamp
    self.future_A_time = block.timestamp
    # now (block.timestamp < t1) is always False, so we return saved A

    log StopRampA(current_A, block.timestamp)


@external
def commit_new_fee(new_fee: uint256, new_admin_fee: uint256):
    assert msg.sender == self.owner  # dev: only owner
    assert self.admin_actions_deadline == 0  # dev: active action
    assert new_fee <= MAX_FEE  # dev: fee exceeds maximum
    assert new_admin_fee <= MAX_ADMIN_FEE  # dev: admin fee exceeds maximum

    _deadline: uint256 = block.timestamp + ADMIN_ACTIONS_DELAY
    self.admin_actions_deadline = _deadline
    self.future_fee = new_fee
    self.future_admin_fee = new_admin_fee

    log CommitNewFee(_deadline, new_fee, new_admin_fee)


@external
def apply_new_fee():
    assert msg.sender == self.owner  # dev: only owner
    assert block.timestamp >= self.admin_actions_deadline  # dev: insufficient time
    assert self.admin_actions_deadline != 0  # dev: no active action

    self.admin_actions_deadline = 0
    _fee: uint256 = self.future_fee
    _admin_fee: uint256 = self.future_admin_fee
    self.fee = _fee
    self.admin_fee = _admin_fee

    log NewFee(_fee, _admin_fee)


@external
def revert_new_parameters():
    assert msg.sender == self.owner  # dev: only owner

    self.admin_actions_deadline = 0


@external
def commit_transfer_ownership(_owner: address):
    assert msg.sender == self.owner  # dev: only owner
    assert self.transfer_ownership_deadline == 0  # dev: active transfer

    _deadline: uint256 = block.timestamp + ADMIN_ACTIONS_DELAY
    self.transfer_ownership_deadline = _deadline
    self.future_owner = _owner

    log CommitNewAdmin(_deadline, _owner)


@external
def apply_transfer_ownership():
    assert msg.sender == self.owner  # dev: only owner
    assert block.timestamp >= self.transfer_ownership_deadline  # dev: insufficient time
    assert self.transfer_ownership_deadline != 0  # dev: no active transfer

    self.transfer_ownership_deadline = 0
    _owner: address = self.future_owner
    self.owner = _owner

    log NewAdmin(_owner)


@external
def revert_transfer_ownership():
    assert msg.sender == self.owner  # dev: only owner

    self.transfer_ownership_deadline = 0


@view
@external
def admin_balances(i: uint256) -> uint256:
    return ERC20(self.coins[i]).balanceOf(self) - self.balances[i]


@external
def withdraw_admin_fees():
    assert msg.sender == self.owner  # dev: only owner

    for i in range(N_COINS):
        c: address = self.coins[i]
        value: uint256 = ERC20(c).balanceOf(self) - self.balances[i]
        if value > 0:
            # "safeTransfer" which works for ERC20s which return bool or not
            _response: Bytes[32] = raw_call(
                c,
                concat(
                    method_id("transfer(address,uint256)"),
                    convert(msg.sender, bytes32),
                    convert(value, bytes32),
                ),
                max_outsize=32,
            )  # dev: failed transfer
            if len(_response) > 0:
                assert convert(_response, bool)  # dev: failed transfer


@external
def donate_admin_fees():
    assert msg.sender == self.owner  # dev: only owner
    for i in range(N_COINS):
        self.balances[i] = ERC20(self.coins[i]).balanceOf(self)


@external
def kill_me():
    assert msg.sender == self.owner  # dev: only owner
    assert self.kill_deadline > block.timestamp  # dev: deadline has passed
    self.is_killed = True


@external
def unkill_me():
    assert msg.sender == self.owner  # dev: only owner
    self.is_killed = False

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (interfaces/IERC20.sol)
pragma solidity ^0.8.0;
import "../token/ERC20/IERC20.sol";
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
pragma solidity ^0.8.0;
/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @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);
    /**
     * @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 `to`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address to, 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 `from` to `to` 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 from,
        address to,
        uint256 amount
    ) external returns (bool);
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
/// @title library that represents a number in BigNumber(coefficient and exponent) format to store in smaller bits.
/// @notice the number is divided into two parts: a coefficient and an exponent. This comes at a cost of losing some precision
/// at the end of the number because the exponent simply fills it with zeroes. This precision is oftentimes negligible and can
/// result in significant gas cost reduction due to storage space reduction.
/// Also note, a valid big number is as follows: if the exponent is > 0, then coefficient last bits should be occupied to have max precision.
/// @dev roundUp is more like a increase 1, which happens everytime for the same number.
/// roundDown simply sets trailing digits after coefficientSize to zero (floor), only once for the same number.
library BigMathMinified {
    /// @dev constants to use for `roundUp` input param to increase readability
    bool internal constant ROUND_DOWN = false;
    bool internal constant ROUND_UP = true;
    /// @dev converts `normal` number to BigNumber with `exponent` and `coefficient` (or precision).
    /// e.g.:
    /// 5035703444687813576399599 (normal) = (coefficient[32bits], exponent[8bits])[40bits]
    /// 5035703444687813576399599 (decimal) => 10000101010010110100000011111011110010100110100000000011100101001101001101011101111 (binary)
    ///                                     => 10000101010010110100000011111011000000000000000000000000000000000000000000000000000
    ///                                                                        ^-------------------- 51(exponent) -------------- ^
    /// coefficient = 1000,0101,0100,1011,0100,0000,1111,1011               (2236301563)
    /// exponent =                                            0011,0011     (51)
    /// bigNumber =   1000,0101,0100,1011,0100,0000,1111,1011,0011,0011     (572493200179)
    ///
    /// @param normal number which needs to be converted into Big Number
    /// @param coefficientSize at max how many bits of precision there should be (64 = uint64 (64 bits precision))
    /// @param exponentSize at max how many bits of exponent there should be (8 = uint8 (8 bits exponent))
    /// @param roundUp signals if result should be rounded down or up
    /// @return bigNumber converted bigNumber (coefficient << exponent)
    function toBigNumber(
        uint256 normal,
        uint256 coefficientSize,
        uint256 exponentSize,
        bool roundUp
    ) internal pure returns (uint256 bigNumber) {
        assembly {
            let lastBit_
            let number_ := normal
            if gt(number_, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) {
                number_ := shr(0x80, number_)
                lastBit_ := 0x80
            }
            if gt(number_, 0xFFFFFFFFFFFFFFFF) {
                number_ := shr(0x40, number_)
                lastBit_ := add(lastBit_, 0x40)
            }
            if gt(number_, 0xFFFFFFFF) {
                number_ := shr(0x20, number_)
                lastBit_ := add(lastBit_, 0x20)
            }
            if gt(number_, 0xFFFF) {
                number_ := shr(0x10, number_)
                lastBit_ := add(lastBit_, 0x10)
            }
            if gt(number_, 0xFF) {
                number_ := shr(0x8, number_)
                lastBit_ := add(lastBit_, 0x8)
            }
            if gt(number_, 0xF) {
                number_ := shr(0x4, number_)
                lastBit_ := add(lastBit_, 0x4)
            }
            if gt(number_, 0x3) {
                number_ := shr(0x2, number_)
                lastBit_ := add(lastBit_, 0x2)
            }
            if gt(number_, 0x1) {
                lastBit_ := add(lastBit_, 1)
            }
            if gt(number_, 0) {
                lastBit_ := add(lastBit_, 1)
            }
            if lt(lastBit_, coefficientSize) {
                // for throw exception
                lastBit_ := coefficientSize
            }
            let exponent := sub(lastBit_, coefficientSize)
            let coefficient := shr(exponent, normal)
            if and(roundUp, gt(exponent, 0)) {
                // rounding up is only needed if exponent is > 0, as otherwise the coefficient fully holds the original number
                coefficient := add(coefficient, 1)
                if eq(shl(coefficientSize, 1), coefficient) {
                    // case were coefficient was e.g. 111, with adding 1 it became 1000 (in binary) and coefficientSize 3 bits
                    // final coefficient would exceed it's size. -> reduce coefficent to 100 and increase exponent by 1.
                    coefficient := shl(sub(coefficientSize, 1), 1)
                    exponent := add(exponent, 1)
                }
            }
            if iszero(lt(exponent, shl(exponentSize, 1))) {
                // if exponent is >= exponentSize, the normal number is too big to fit within
                // BigNumber with too small sizes for coefficient and exponent
                revert(0, 0)
            }
            bigNumber := shl(exponentSize, coefficient)
            bigNumber := add(bigNumber, exponent)
        }
    }
    /// @dev get `normal` number from `bigNumber`, `exponentSize` and `exponentMask`
    function fromBigNumber(
        uint256 bigNumber,
        uint256 exponentSize,
        uint256 exponentMask
    ) internal pure returns (uint256 normal) {
        assembly {
            let coefficient := shr(exponentSize, bigNumber)
            let exponent := and(bigNumber, exponentMask)
            normal := shl(exponent, coefficient)
        }
    }
    /// @dev gets the most significant bit `lastBit` of a `normal` number (length of given number of binary format).
    /// e.g.
    /// 5035703444687813576399599 = 10000101010010110100000011111011110010100110100000000011100101001101001101011101111
    /// lastBit =                   ^---------------------------------   83   ----------------------------------------^
    function mostSignificantBit(uint256 normal) internal pure returns (uint lastBit) {
        assembly {
            let number_ := normal
            if gt(normal, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) {
                number_ := shr(0x80, number_)
                lastBit := 0x80
            }
            if gt(number_, 0xFFFFFFFFFFFFFFFF) {
                number_ := shr(0x40, number_)
                lastBit := add(lastBit, 0x40)
            }
            if gt(number_, 0xFFFFFFFF) {
                number_ := shr(0x20, number_)
                lastBit := add(lastBit, 0x20)
            }
            if gt(number_, 0xFFFF) {
                number_ := shr(0x10, number_)
                lastBit := add(lastBit, 0x10)
            }
            if gt(number_, 0xFF) {
                number_ := shr(0x8, number_)
                lastBit := add(lastBit, 0x8)
            }
            if gt(number_, 0xF) {
                number_ := shr(0x4, number_)
                lastBit := add(lastBit, 0x4)
            }
            if gt(number_, 0x3) {
                number_ := shr(0x2, number_)
                lastBit := add(lastBit, 0x2)
            }
            if gt(number_, 0x1) {
                lastBit := add(lastBit, 1)
            }
            if gt(number_, 0) {
                lastBit := add(lastBit, 1)
            }
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
library LibsErrorTypes {
    /***********************************|
    |         LiquidityCalcs            | 
    |__________________________________*/
    /// @notice thrown when supply or borrow exchange price is zero at calc token data (token not configured yet)
    uint256 internal constant LiquidityCalcs__ExchangePriceZero = 70001;
    /// @notice thrown when rate data is set to a version that is not implemented
    uint256 internal constant LiquidityCalcs__UnsupportedRateVersion = 70002;
    /// @notice thrown when the calculated borrow rate turns negative. This should never happen.
    uint256 internal constant LiquidityCalcs__BorrowRateNegative = 70003;
    /***********************************|
    |           SafeTransfer            | 
    |__________________________________*/
    /// @notice thrown when safe transfer from for an ERC20 fails
    uint256 internal constant SafeTransfer__TransferFromFailed = 71001;
    /// @notice thrown when safe transfer for an ERC20 fails
    uint256 internal constant SafeTransfer__TransferFailed = 71002;
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { LibsErrorTypes as ErrorTypes } from "./errorTypes.sol";
import { LiquiditySlotsLink } from "./liquiditySlotsLink.sol";
import { BigMathMinified } from "./bigMathMinified.sol";
/// @notice implements calculation methods used for Fluid liquidity such as updated exchange prices,
/// borrow rate, withdrawal / borrow limits, revenue amount.
library LiquidityCalcs {
    error FluidLiquidityCalcsError(uint256 errorId_);
    /// @notice emitted if the calculated borrow rate surpassed max borrow rate (16 bits) and was capped at maximum value 65535
    event BorrowRateMaxCap();
    /// @dev constants as from Liquidity variables.sol
    uint256 internal constant EXCHANGE_PRICES_PRECISION = 1e12;
    /// @dev Ignoring leap years
    uint256 internal constant SECONDS_PER_YEAR = 365 days;
    // constants used for BigMath conversion from and to storage
    uint256 internal constant DEFAULT_EXPONENT_SIZE = 8;
    uint256 internal constant DEFAULT_EXPONENT_MASK = 0xFF;
    uint256 internal constant FOUR_DECIMALS = 1e4;
    uint256 internal constant TWELVE_DECIMALS = 1e12;
    uint256 internal constant X14 = 0x3fff;
    uint256 internal constant X15 = 0x7fff;
    uint256 internal constant X16 = 0xffff;
    uint256 internal constant X18 = 0x3ffff;
    uint256 internal constant X24 = 0xffffff;
    uint256 internal constant X33 = 0x1ffffffff;
    uint256 internal constant X64 = 0xffffffffffffffff;
    ///////////////////////////////////////////////////////////////////////////
    //////////                  CALC EXCHANGE PRICES                  /////////
    ///////////////////////////////////////////////////////////////////////////
    /// @dev calculates interest (exchange prices) for a token given its' exchangePricesAndConfig from storage.
    /// @param exchangePricesAndConfig_ exchange prices and config packed uint256 read from storage
    /// @return supplyExchangePrice_ updated supplyExchangePrice
    /// @return borrowExchangePrice_ updated borrowExchangePrice
    function calcExchangePrices(
        uint256 exchangePricesAndConfig_
    ) internal view returns (uint256 supplyExchangePrice_, uint256 borrowExchangePrice_) {
        // Extracting exchange prices
        supplyExchangePrice_ =
            (exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_SUPPLY_EXCHANGE_PRICE) &
            X64;
        borrowExchangePrice_ =
            (exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_BORROW_EXCHANGE_PRICE) &
            X64;
        if (supplyExchangePrice_ == 0 || borrowExchangePrice_ == 0) {
            revert FluidLiquidityCalcsError(ErrorTypes.LiquidityCalcs__ExchangePriceZero);
        }
        uint256 temp_ = exchangePricesAndConfig_ & X16; // temp_ = borrowRate
        unchecked {
            // last timestamp can not be > current timestamp
            uint256 secondsSinceLastUpdate_ = block.timestamp -
                ((exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_LAST_TIMESTAMP) & X33);
            uint256 borrowRatio_ = (exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_BORROW_RATIO) &
                X15;
            if (secondsSinceLastUpdate_ == 0 || temp_ == 0 || borrowRatio_ == 1) {
                // if no time passed, borrow rate is 0, or no raw borrowings: no exchange price update needed
                // (if borrowRatio_ == 1 means there is only borrowInterestFree, as first bit is 1 and rest is 0)
                return (supplyExchangePrice_, borrowExchangePrice_);
            }
            // calculate new borrow exchange price.
            // formula borrowExchangePriceIncrease: previous price * borrow rate * secondsSinceLastUpdate_.
            // nominator is max uint112 (uint64 * uint16 * uint32). Divisor can not be 0.
            borrowExchangePrice_ +=
                (borrowExchangePrice_ * temp_ * secondsSinceLastUpdate_) /
                (SECONDS_PER_YEAR * FOUR_DECIMALS);
            // FOR SUPPLY EXCHANGE PRICE:
            // all yield paid by borrowers (in mode with interest) goes to suppliers in mode with interest.
            // formula: previous price * supply rate * secondsSinceLastUpdate_.
            // where supply rate = (borrow rate  - revenueFee%) * ratioSupplyYield. And
            // ratioSupplyYield = utilization * supplyRatio * borrowRatio
            //
            // Example:
            // supplyRawInterest is 80, supplyInterestFree is 20. totalSupply is 100. BorrowedRawInterest is 50.
            // BorrowInterestFree is 10. TotalBorrow is 60. borrow rate 40%, revenueFee 10%.
            // yield is 10 (so half a year must have passed).
            // supplyRawInterest must become worth 89. totalSupply must become 109. BorrowedRawInterest must become 60.
            // borrowInterestFree must still be 10. supplyInterestFree still 20. totalBorrow 70.
            // supplyExchangePrice would have to go from 1 to 1,125 (+ 0.125). borrowExchangePrice from 1 to 1,2 (+0.2).
            // utilization is 60%. supplyRatio = 20 / 80 = 25% (only 80% of lenders receiving yield).
            // borrowRatio = 10 / 50 = 20% (only 83,333% of borrowers paying yield):
            // x of borrowers paying yield = 100% - (20 / (100 + 20)) = 100% - 16.6666666% = 83,333%.
            // ratioSupplyYield = 60% * 83,33333% * (100% + 20%) = 62,5%
            // supplyRate = (40% * (100% - 10%)) * = 36% * 62,5% = 22.5%
            // increase in supplyExchangePrice, assuming 100 as previous price.
            // 100 * 22,5% * 1/2 (half a year) = 0,1125.
            // cross-check supplyRawInterest worth = 80 * 1.1125 = 89. totalSupply worth = 89 + 20.
            // -------------- 1. calculate ratioSupplyYield --------------------------------
            // step1: utilization * supplyRatio (or actually part of lenders receiving yield)
            // temp_ => supplyRatio (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
            // if first bit 0 then ratio is supplyInterestFree / supplyWithInterest (supplyWithInterest is bigger)
            // else ratio is supplyWithInterest / supplyInterestFree (supplyInterestFree is bigger)
            temp_ = (exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_SUPPLY_RATIO) & X15;
            if (temp_ == 1) {
                // if no raw supply: no exchange price update needed
                // (if supplyRatio_ == 1 means there is only supplyInterestFree, as first bit is 1 and rest is 0)
                return (supplyExchangePrice_, borrowExchangePrice_);
            }
            // ratioSupplyYield precision is 1e27 as 100% for increased precision when supplyInterestFree > supplyWithInterest
            if (temp_ & 1 == 1) {
                // ratio is supplyWithInterest / supplyInterestFree (supplyInterestFree is bigger)
                temp_ = temp_ >> 1;
                // Note: case where temp_ == 0 (only supplyInterestFree, no yield) already covered by early return
                // in the if statement a little above.
                // based on above example but supplyRawInterest is 20, supplyInterestFree is 80. no fee.
                // supplyRawInterest must become worth 30. totalSupply must become 110.
                // supplyExchangePrice would have to go from 1 to 1,5. borrowExchangePrice from 1 to 1,2.
                // so ratioSupplyYield must come out as 2.5 (250%).
                // supplyRatio would be (20 * 10_000 / 80) = 2500. but must be inverted.
                temp_ = (1e27 * FOUR_DECIMALS) / temp_; // e.g. 1e31 / 2500 = 4e27. (* 1e27 for precision)
                // e.g. 5_000 * (1e27 + 4e27) / 1e27 = 25_000 (=250%).
                temp_ =
                    // utilization * (100% + 100% / supplyRatio)
                    (((exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_UTILIZATION) & X14) *
                        (1e27 + temp_)) / // extract utilization (max 16_383 so there is no way this can overflow).
                    (FOUR_DECIMALS);
                // max possible value of temp_ here is 16383 * (1e27 + 1e31) / 1e4 = ~1.64e31
            } else {
                // ratio is supplyInterestFree / supplyWithInterest (supplyWithInterest is bigger)
                temp_ = temp_ >> 1;
                // if temp_ == 0 then only supplyWithInterest => full yield. temp_ is already 0
                // e.g. 5_000 * 10_000 + (20 * 10_000 / 80) / 10_000 = 5000 * 12500 / 10000 = 6250 (=62.5%).
                temp_ =
                    // 1e27 * utilization * (100% + supplyRatio) / 100%
                    (1e27 *
                        ((exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_UTILIZATION) & X14) * // extract utilization (max 16_383 so there is no way this can overflow).
                        (FOUR_DECIMALS + temp_)) /
                    (FOUR_DECIMALS * FOUR_DECIMALS);
                // max possible temp_ value: 1e27 * 16383 * 2e4 / 1e8 = 3.2766e27
            }
            // from here temp_ => ratioSupplyYield (utilization * supplyRatio part) scaled by 1e27. max possible value ~1.64e31
            // step2 of ratioSupplyYield: add borrowRatio (only x% of borrowers paying yield)
            if (borrowRatio_ & 1 == 1) {
                // ratio is borrowWithInterest / borrowInterestFree (borrowInterestFree is bigger)
                borrowRatio_ = borrowRatio_ >> 1;
                // borrowRatio_ => x of total bororwers paying yield. scale to 1e27.
                // Note: case where borrowRatio_ == 0 (only borrowInterestFree, no yield) already covered
                // at the beginning of the method by early return if `borrowRatio_ == 1`.
                // based on above example but borrowRawInterest is 10, borrowInterestFree is 50. no fee. borrowRatio = 20%.
                // so only 16.66% of borrowers are paying yield. so the 100% - part of the formula is not needed.
                // x of borrowers paying yield = (borrowRatio / (100 + borrowRatio)) = 16.6666666%
                // borrowRatio_ => x of total bororwers paying yield. scale to 1e27.
                borrowRatio_ = (borrowRatio_ * 1e27) / (FOUR_DECIMALS + borrowRatio_);
                // max value here for borrowRatio_ is (1e31 / (1e4 + 1e4))= 5e26 (= 50% of borrowers paying yield).
            } else {
                // ratio is borrowInterestFree / borrowWithInterest (borrowWithInterest is bigger)
                borrowRatio_ = borrowRatio_ >> 1;
                // borrowRatio_ => x of total bororwers paying yield. scale to 1e27.
                // x of borrowers paying yield = 100% - (borrowRatio / (100 + borrowRatio)) = 100% - 16.6666666% = 83,333%.
                borrowRatio_ = (1e27 - ((borrowRatio_ * 1e27) / (FOUR_DECIMALS + borrowRatio_)));
                // borrowRatio can never be > 100%. so max subtraction can be 100% - 100% / 200%.
                // or if borrowRatio_ is 0 -> 100% - 0. or if borrowRatio_ is 1 -> 100% - 1 / 101.
                // max value here for borrowRatio_ is 1e27 - 0 = 1e27 (= 100% of borrowers paying yield).
            }
            // temp_ => ratioSupplyYield. scaled down from 1e25 = 1% each to normal percent precision 1e2 = 1%.
            // max nominator value is ~1.64e31 * 1e27 = 1.64e58. max result = 1.64e8
            temp_ = (FOUR_DECIMALS * temp_ * borrowRatio_) / 1e54;
            // 2. calculate supply rate
            // temp_ => supply rate (borrow rate  - revenueFee%) * ratioSupplyYield.
            // division part is done in next step to increase precision. (divided by 2x FOUR_DECIMALS, fee + borrowRate)
            // Note that all calculation divisions for supplyExchangePrice are rounded down.
            // Note supply rate can be bigger than the borrowRate, e.g. if there are only few lenders with interest
            // but more suppliers not earning interest.
            temp_ = ((exchangePricesAndConfig_ & X16) * // borrow rate
                temp_ * // ratioSupplyYield
                (FOUR_DECIMALS - ((exchangePricesAndConfig_ >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_FEE) & X14))); // revenueFee
            // fee can not be > 100%. max possible = 65535 * ~1.64e8 * 1e4 =~1.074774e17.
            // 3. calculate increase in supply exchange price
            supplyExchangePrice_ += ((supplyExchangePrice_ * temp_ * secondsSinceLastUpdate_) /
                (SECONDS_PER_YEAR * FOUR_DECIMALS * FOUR_DECIMALS * FOUR_DECIMALS));
            // max possible nominator = max uint 64 * 1.074774e17 * max uint32 = ~8.52e45. Denominator can not be 0.
        }
    }
    ///////////////////////////////////////////////////////////////////////////
    //////////                     CALC REVENUE                       /////////
    ///////////////////////////////////////////////////////////////////////////
    /// @dev gets the `revenueAmount_` for a token given its' totalAmounts and exchangePricesAndConfig from storage
    /// and the current balance of the Fluid liquidity contract for the token.
    /// @param totalAmounts_ total amounts packed uint256 read from storage
    /// @param exchangePricesAndConfig_ exchange prices and config packed uint256 read from storage
    /// @param liquidityTokenBalance_   current balance of Liquidity contract (IERC20(token_).balanceOf(address(this)))
    /// @return revenueAmount_ collectable revenue amount
    function calcRevenue(
        uint256 totalAmounts_,
        uint256 exchangePricesAndConfig_,
        uint256 liquidityTokenBalance_
    ) internal view returns (uint256 revenueAmount_) {
        // @dev no need to super-optimize this method as it is only used by admin
        // calculate the new exchange prices based on earned interest
        (uint256 supplyExchangePrice_, uint256 borrowExchangePrice_) = calcExchangePrices(exchangePricesAndConfig_);
        // total supply = interest free + with interest converted from raw
        uint256 totalSupply_ = getTotalSupply(totalAmounts_, supplyExchangePrice_);
        if (totalSupply_ > 0) {
            // available revenue: balanceOf(token) + totalBorrowings - totalLendings.
            revenueAmount_ = liquidityTokenBalance_ + getTotalBorrow(totalAmounts_, borrowExchangePrice_);
            // ensure there is no possible case because of rounding etc. where this would revert,
            // explicitly check if >
            revenueAmount_ = revenueAmount_ > totalSupply_ ? revenueAmount_ - totalSupply_ : 0;
            // Note: if utilization > 100% (totalSupply < totalBorrow), then all the amount above 100% utilization
            // can only be revenue.
        } else {
            // if supply is 0, then rest of balance can be withdrawn as revenue so that no amounts get stuck
            revenueAmount_ = liquidityTokenBalance_;
        }
    }
    ///////////////////////////////////////////////////////////////////////////
    //////////                      CALC LIMITS                       /////////
    ///////////////////////////////////////////////////////////////////////////
    /// @dev calculates withdrawal limit before an operate execution:
    /// amount of user supply that must stay supplied (not amount that can be withdrawn).
    /// i.e. if user has supplied 100m and can withdraw 5M, this method returns the 95M, not the withdrawable amount 5M
    /// @param userSupplyData_ user supply data packed uint256 from storage
    /// @param userSupply_ current user supply amount already extracted from `userSupplyData_` and converted from BigMath
    /// @return currentWithdrawalLimit_ current withdrawal limit updated for expansion since last interaction.
    ///         returned value is in raw for with interest mode, normal amount for interest free mode!
    function calcWithdrawalLimitBeforeOperate(
        uint256 userSupplyData_,
        uint256 userSupply_
    ) internal view returns (uint256 currentWithdrawalLimit_) {
        // @dev must support handling the case where timestamp is 0 (config is set but no interactions yet).
        // first tx where timestamp is 0 will enter `if (lastWithdrawalLimit_ == 0)` because lastWithdrawalLimit_ is not set yet.
        // returning max withdrawal allowed, which is not exactly right but doesn't matter because the first interaction must be
        // a deposit anyway. Important is that it would not revert.
        // Note the first time a deposit brings the user supply amount to above the base withdrawal limit, the active limit
        // is the fully expanded limit immediately.
        // extract last set withdrawal limit
        uint256 lastWithdrawalLimit_ = (userSupplyData_ >>
            LiquiditySlotsLink.BITS_USER_SUPPLY_PREVIOUS_WITHDRAWAL_LIMIT) & X64;
        lastWithdrawalLimit_ =
            (lastWithdrawalLimit_ >> DEFAULT_EXPONENT_SIZE) <<
            (lastWithdrawalLimit_ & DEFAULT_EXPONENT_MASK);
        if (lastWithdrawalLimit_ == 0) {
            // withdrawal limit is not activated. Max withdrawal allowed
            return 0;
        }
        uint256 maxWithdrawableLimit_;
        uint256 temp_;
        unchecked {
            // extract max withdrawable percent of user supply and
            // calculate maximum withdrawable amount expandPercentage of user supply at full expansion duration elapsed
            // e.g.: if 10% expandPercentage, meaning 10% is withdrawable after full expandDuration has elapsed.
            // userSupply_ needs to be atleast 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            maxWithdrawableLimit_ =
                (((userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_EXPAND_PERCENT) & X14) * userSupply_) /
                FOUR_DECIMALS;
            // time elapsed since last withdrawal limit was set (in seconds)
            // @dev last process timestamp is guaranteed to exist for withdrawal, as a supply must have happened before.
            // last timestamp can not be > current timestamp
            temp_ =
                block.timestamp -
                ((userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_LAST_UPDATE_TIMESTAMP) & X33);
        }
        // calculate withdrawable amount of expandPercent that is elapsed of expandDuration.
        // e.g. if 60% of expandDuration has elapsed, then user should be able to withdraw 6% of user supply, down to 94%.
        // Note: no explicit check for this needed, it is covered by setting minWithdrawalLimit_ if needed.
        temp_ =
            (maxWithdrawableLimit_ * temp_) /
            // extract expand duration: After this, decrement won't happen (user can withdraw 100% of withdraw limit)
            ((userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_EXPAND_DURATION) & X24); // expand duration can never be 0
        // calculate expanded withdrawal limit: last withdrawal limit - withdrawable amount.
        // Note: withdrawable amount here can grow bigger than userSupply if timeElapsed is a lot bigger than expandDuration,
        // which would cause the subtraction `lastWithdrawalLimit_ - withdrawableAmount_` to revert. In that case, set 0
        // which will cause minimum (fully expanded) withdrawal limit to be set in lines below.
        unchecked {
            // underflow explicitly checked & handled
            currentWithdrawalLimit_ = lastWithdrawalLimit_ > temp_ ? lastWithdrawalLimit_ - temp_ : 0;
            // calculate minimum withdrawal limit: minimum amount of user supply that must stay supplied at full expansion.
            // subtraction can not underflow as maxWithdrawableLimit_ is a percentage amount (<=100%) of userSupply_
            temp_ = userSupply_ - maxWithdrawableLimit_;
        }
        // if withdrawal limit is decreased below minimum then set minimum
        // (e.g. when more than expandDuration time has elapsed)
        if (temp_ > currentWithdrawalLimit_) {
            currentWithdrawalLimit_ = temp_;
        }
    }
    /// @dev calculates withdrawal limit after an operate execution:
    /// amount of user supply that must stay supplied (not amount that can be withdrawn).
    /// i.e. if user has supplied 100m and can withdraw 5M, this method returns the 95M, not the withdrawable amount 5M
    /// @param userSupplyData_ user supply data packed uint256 from storage
    /// @param userSupply_ current user supply amount already extracted from `userSupplyData_` and added / subtracted with the executed operate amount
    /// @param newWithdrawalLimit_ current withdrawal limit updated for expansion since last interaction, result from `calcWithdrawalLimitBeforeOperate`
    /// @return withdrawalLimit_ updated withdrawal limit that should be written to storage. returned value is in
    ///                          raw for with interest mode, normal amount for interest free mode!
    function calcWithdrawalLimitAfterOperate(
        uint256 userSupplyData_,
        uint256 userSupply_,
        uint256 newWithdrawalLimit_
    ) internal pure returns (uint256) {
        // temp_ => base withdrawal limit. below this, maximum withdrawals are allowed
        uint256 temp_ = (userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_BASE_WITHDRAWAL_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        // if user supply is below base limit then max withdrawals are allowed
        if (userSupply_ < temp_) {
            return 0;
        }
        // temp_ => withdrawal limit expandPercent (is in 1e2 decimals)
        temp_ = (userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_EXPAND_PERCENT) & X14;
        unchecked {
            // temp_ => minimum withdrawal limit: userSupply - max withdrawable limit (userSupply * expandPercent))
            // userSupply_ needs to be atleast 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            // subtraction can not underflow as maxWithdrawableLimit_ is a percentage amount (<=100%) of userSupply_
            temp_ = userSupply_ - ((userSupply_ * temp_) / FOUR_DECIMALS);
        }
        // if new (before operation) withdrawal limit is less than minimum limit then set minimum limit.
        // e.g. can happen on new deposits. withdrawal limit is instantly fully expanded in a scenario where
        // increased deposit amount outpaces withrawals.
        if (temp_ > newWithdrawalLimit_) {
            return temp_;
        }
        return newWithdrawalLimit_;
    }
    /// @dev calculates borrow limit before an operate execution:
    /// total amount user borrow can reach (not borrowable amount in current operation).
    /// i.e. if user has borrowed 50M and can still borrow 5M, this method returns the total 55M, not the borrowable amount 5M
    /// @param userBorrowData_ user borrow data packed uint256 from storage
    /// @param userBorrow_ current user borrow amount already extracted from `userBorrowData_`
    /// @return currentBorrowLimit_ current borrow limit updated for expansion since last interaction. returned value is in
    ///                             raw for with interest mode, normal amount for interest free mode!
    function calcBorrowLimitBeforeOperate(
        uint256 userBorrowData_,
        uint256 userBorrow_
    ) internal view returns (uint256 currentBorrowLimit_) {
        // @dev must support handling the case where timestamp is 0 (config is set but no interactions yet) -> base limit.
        // first tx where timestamp is 0 will enter `if (maxExpandedBorrowLimit_ < baseBorrowLimit_)` because `userBorrow_` and thus
        // `maxExpansionLimit_` and thus `maxExpandedBorrowLimit_` is 0 and `baseBorrowLimit_` can not be 0.
        // temp_ = extract borrow expand percent (is in 1e2 decimals)
        uint256 temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_EXPAND_PERCENT) & X14;
        uint256 maxExpansionLimit_;
        uint256 maxExpandedBorrowLimit_;
        unchecked {
            // calculate max expansion limit: Max amount limit can expand to since last interaction
            // userBorrow_ needs to be atleast 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            maxExpansionLimit_ = ((userBorrow_ * temp_) / FOUR_DECIMALS);
            // calculate max borrow limit: Max point limit can increase to since last interaction
            maxExpandedBorrowLimit_ = userBorrow_ + maxExpansionLimit_;
        }
        // currentBorrowLimit_ = extract base borrow limit
        currentBorrowLimit_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_BASE_BORROW_LIMIT) & X18;
        currentBorrowLimit_ =
            (currentBorrowLimit_ >> DEFAULT_EXPONENT_SIZE) <<
            (currentBorrowLimit_ & DEFAULT_EXPONENT_MASK);
        if (maxExpandedBorrowLimit_ < currentBorrowLimit_) {
            return currentBorrowLimit_;
        }
        // time elapsed since last borrow limit was set (in seconds)
        unchecked {
            // temp_ = timeElapsed_ (last timestamp can not be > current timestamp)
            temp_ =
                block.timestamp -
                ((userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_LAST_UPDATE_TIMESTAMP) & X33); // extract last update timestamp
        }
        // currentBorrowLimit_ = expandedBorrowableAmount + extract last set borrow limit
        currentBorrowLimit_ =
            // calculate borrow limit expansion since last interaction for `expandPercent` that is elapsed of `expandDuration`.
            // divisor is extract expand duration (after this, full expansion to expandPercentage happened).
            ((maxExpansionLimit_ * temp_) /
                ((userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_EXPAND_DURATION) & X24)) + // expand duration can never be 0
            //  extract last set borrow limit
            BigMathMinified.fromBigNumber(
                (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_PREVIOUS_BORROW_LIMIT) & X64,
                DEFAULT_EXPONENT_SIZE,
                DEFAULT_EXPONENT_MASK
            );
        // if timeElapsed is bigger than expandDuration, new borrow limit would be > max expansion,
        // so set to `maxExpandedBorrowLimit_` in that case.
        // also covers the case where last process timestamp = 0 (timeElapsed would simply be very big)
        if (currentBorrowLimit_ > maxExpandedBorrowLimit_) {
            currentBorrowLimit_ = maxExpandedBorrowLimit_;
        }
        // temp_ = extract hard max borrow limit. Above this user can never borrow (not expandable above)
        temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_MAX_BORROW_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        if (currentBorrowLimit_ > temp_) {
            currentBorrowLimit_ = temp_;
        }
    }
    /// @dev calculates borrow limit after an operate execution:
    /// total amount user borrow can reach (not borrowable amount in current operation).
    /// i.e. if user has borrowed 50M and can still borrow 5M, this method returns the total 55M, not the borrowable amount 5M
    /// @param userBorrowData_ user borrow data packed uint256 from storage
    /// @param userBorrow_ current user borrow amount already extracted from `userBorrowData_` and added / subtracted with the executed operate amount
    /// @param newBorrowLimit_ current borrow limit updated for expansion since last interaction, result from `calcBorrowLimitBeforeOperate`
    /// @return borrowLimit_ updated borrow limit that should be written to storage.
    ///                      returned value is in raw for with interest mode, normal amount for interest free mode!
    function calcBorrowLimitAfterOperate(
        uint256 userBorrowData_,
        uint256 userBorrow_,
        uint256 newBorrowLimit_
    ) internal pure returns (uint256 borrowLimit_) {
        // temp_ = extract borrow expand percent
        uint256 temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_EXPAND_PERCENT) & X14; // (is in 1e2 decimals)
        unchecked {
            // borrowLimit_ = calculate maximum borrow limit at full expansion.
            // userBorrow_ needs to be at least 1e73 to overflow max limit of ~1e77 in uint256 (no token in existence where this is possible).
            borrowLimit_ = userBorrow_ + ((userBorrow_ * temp_) / FOUR_DECIMALS);
        }
        // temp_ = extract base borrow limit
        temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_BASE_BORROW_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        if (borrowLimit_ < temp_) {
            // below base limit, borrow limit is always base limit
            return temp_;
        }
        // temp_ = extract hard max borrow limit. Above this user can never borrow (not expandable above)
        temp_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_MAX_BORROW_LIMIT) & X18;
        temp_ = (temp_ >> DEFAULT_EXPONENT_SIZE) << (temp_ & DEFAULT_EXPONENT_MASK);
        // make sure fully expanded borrow limit is not above hard max borrow limit
        if (borrowLimit_ > temp_) {
            borrowLimit_ = temp_;
        }
        // if new borrow limit (from before operate) is > max borrow limit, set max borrow limit.
        // (e.g. on a repay shrinking instantly to fully expanded borrow limit from new borrow amount. shrinking is instant)
        if (newBorrowLimit_ > borrowLimit_) {
            return borrowLimit_;
        }
        return newBorrowLimit_;
    }
    ///////////////////////////////////////////////////////////////////////////
    //////////                      CALC RATES                        /////////
    ///////////////////////////////////////////////////////////////////////////
    /// @dev Calculates new borrow rate from utilization for a token
    /// @param rateData_ rate data packed uint256 from storage for the token
    /// @param utilization_ totalBorrow / totalSupply. 1e4 = 100% utilization
    /// @return rate_ rate for that particular token in 1e2 precision (e.g. 5% rate = 500)
    function calcBorrowRateFromUtilization(uint256 rateData_, uint256 utilization_) internal returns (uint256 rate_) {
        // extract rate version: 4 bits (0xF) starting from bit 0
        uint256 rateVersion_ = (rateData_ & 0xF);
        if (rateVersion_ == 1) {
            rate_ = calcRateV1(rateData_, utilization_);
        } else if (rateVersion_ == 2) {
            rate_ = calcRateV2(rateData_, utilization_);
        } else {
            revert FluidLiquidityCalcsError(ErrorTypes.LiquidityCalcs__UnsupportedRateVersion);
        }
        if (rate_ > X16) {
            // hard cap for borrow rate at maximum value 16 bits (65535) to make sure it does not overflow storage space.
            // this is unlikely to ever happen if configs stay within expected levels.
            rate_ = X16;
            // emit event to more easily become aware
            emit BorrowRateMaxCap();
        }
    }
    /// @dev calculates the borrow rate based on utilization for rate data version 1 (with one kink) in 1e2 precision
    /// @param rateData_ rate data packed uint256 from storage for the token
    /// @param utilization_  in 1e2 (100% = 1e4)
    /// @return rate_ rate in 1e2 precision
    function calcRateV1(uint256 rateData_, uint256 utilization_) internal pure returns (uint256 rate_) {
        /// For rate v1 (one kink) ------------------------------------------------------
        /// Next 16  bits =>  4 - 19 => Rate at utilization 0% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  20- 35 => Utilization at kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  36- 51 => Rate at utilization kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  52- 67 => Rate at utilization 100% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Last 188 bits =>  68-255 => blank, might come in use in future
        // y = mx + c.
        // y is borrow rate
        // x is utilization
        // m = slope (m can also be negative for declining rates)
        // c is constant (c can be negative)
        uint256 y1_;
        uint256 y2_;
        uint256 x1_;
        uint256 x2_;
        // extract kink1: 16 bits (0xFFFF) starting from bit 20
        // kink is in 1e2, same as utilization, so no conversion needed for direct comparison of the two
        uint256 kink1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_UTILIZATION_AT_KINK) & X16;
        if (utilization_ < kink1_) {
            // if utilization is less than kink
            y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_ZERO) & X16;
            y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_KINK) & X16;
            x1_ = 0; // 0%
            x2_ = kink1_;
        } else {
            // else utilization is greater than kink
            y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_KINK) & X16;
            y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_MAX) & X16;
            x1_ = kink1_;
            x2_ = FOUR_DECIMALS; // 100%
        }
        int256 constant_;
        int256 slope_;
        unchecked {
            // calculating slope with twelve decimal precision. m = (y2 - y1) / (x2 - x1).
            // utilization of x2 can not be <= utilization of x1 (so no underflow or 0 divisor)
            // y is in 1e2 so can not overflow when multiplied with TWELVE_DECIMALS
            slope_ = (int256(y2_ - y1_) * int256(TWELVE_DECIMALS)) / int256((x2_ - x1_));
            // calculating constant at 12 decimal precision. slope is already in 12 decimal hence only multiple with y1. c = y - mx.
            // maximum y1_ value is 65535. 65535 * 1e12 can not overflow int256
            // maximum slope is 65535 - 0 * TWELVE_DECIMALS / 1 = 65535 * 1e12;
            // maximum x1_ is 100% (9_999 actually) => slope_ * x1_ can not overflow int256
            // subtraction most extreme case would be  0 - max value slope_ * x1_ => can not underflow int256
            constant_ = int256(y1_ * TWELVE_DECIMALS) - (slope_ * int256(x1_));
            // calculating new borrow rate
            // - slope_ max value is 65535 * 1e12,
            // - utilization max value is let's say 500% (extreme case where borrow rate increases borrow amount without new supply)
            // - constant max value is 65535 * 1e12
            // so max values are 65535 * 1e12 * 50_000 + 65535 * 1e12 -> 3.2768*10^21, which easily fits int256
            // divisor TWELVE_DECIMALS can not be 0
            slope_ = (slope_ * int256(utilization_)) + constant_; // reusing `slope_` as variable for gas savings
            if (slope_ < 0) {
                revert FluidLiquidityCalcsError(ErrorTypes.LiquidityCalcs__BorrowRateNegative);
            }
            rate_ = uint256(slope_) / TWELVE_DECIMALS;
        }
    }
    /// @dev calculates the borrow rate based on utilization for rate data version 2 (with two kinks) in 1e4 precision
    /// @param rateData_ rate data packed uint256 from storage for the token
    /// @param utilization_  in 1e2 (100% = 1e4)
    /// @return rate_ rate in 1e4 precision
    function calcRateV2(uint256 rateData_, uint256 utilization_) internal pure returns (uint256 rate_) {
        /// For rate v2 (two kinks) -----------------------------------------------------
        /// Next 16  bits =>  4 - 19 => Rate at utilization 0% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  20- 35 => Utilization at kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  36- 51 => Rate at utilization kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  52- 67 => Utilization at kink2 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  68- 83 => Rate at utilization kink2 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Next 16  bits =>  84- 99 => Rate at utilization 100% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
        /// Last 156 bits => 100-255 => blank, might come in use in future
        // y = mx + c.
        // y is borrow rate
        // x is utilization
        // m = slope (m can also be negative for declining rates)
        // c is constant (c can be negative)
        uint256 y1_;
        uint256 y2_;
        uint256 x1_;
        uint256 x2_;
        // extract kink1: 16 bits (0xFFFF) starting from bit 20
        // kink is in 1e2, same as utilization, so no conversion needed for direct comparison of the two
        uint256 kink1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_UTILIZATION_AT_KINK1) & X16;
        if (utilization_ < kink1_) {
            // if utilization is less than kink1
            y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_ZERO) & X16;
            y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK1) & X16;
            x1_ = 0; // 0%
            x2_ = kink1_;
        } else {
            // extract kink2: 16 bits (0xFFFF) starting from bit 52
            uint256 kink2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_UTILIZATION_AT_KINK2) & X16;
            if (utilization_ < kink2_) {
                // if utilization is less than kink2
                y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK1) & X16;
                y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK2) & X16;
                x1_ = kink1_;
                x2_ = kink2_;
            } else {
                // else utilization is greater than kink2
                y1_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK2) & X16;
                y2_ = (rateData_ >> LiquiditySlotsLink.BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_MAX) & X16;
                x1_ = kink2_;
                x2_ = FOUR_DECIMALS;
            }
        }
        int256 constant_;
        int256 slope_;
        unchecked {
            // calculating slope with twelve decimal precision. m = (y2 - y1) / (x2 - x1).
            // utilization of x2 can not be <= utilization of x1 (so no underflow or 0 divisor)
            // y is in 1e2 so can not overflow when multiplied with TWELVE_DECIMALS
            slope_ = (int256(y2_ - y1_) * int256(TWELVE_DECIMALS)) / int256((x2_ - x1_));
            // calculating constant at 12 decimal precision. slope is already in 12 decimal hence only multiple with y1. c = y - mx.
            // maximum y1_ value is 65535. 65535 * 1e12 can not overflow int256
            // maximum slope is 65535 - 0 * TWELVE_DECIMALS / 1 = 65535 * 1e12;
            // maximum x1_ is 100% (9_999 actually) => slope_ * x1_ can not overflow int256
            // subtraction most extreme case would be  0 - max value slope_ * x1_ => can not underflow int256
            constant_ = int256(y1_ * TWELVE_DECIMALS) - (slope_ * int256(x1_));
            // calculating new borrow rate
            // - slope_ max value is 65535 * 1e12,
            // - utilization max value is let's say 500% (extreme case where borrow rate increases borrow amount without new supply)
            // - constant max value is 65535 * 1e12
            // so max values are 65535 * 1e12 * 50_000 + 65535 * 1e12 -> 3.2768*10^21, which easily fits int256
            // divisor TWELVE_DECIMALS can not be 0
            slope_ = (slope_ * int256(utilization_)) + constant_; // reusing `slope_` as variable for gas savings
            if (slope_ < 0) {
                revert FluidLiquidityCalcsError(ErrorTypes.LiquidityCalcs__BorrowRateNegative);
            }
            rate_ = uint256(slope_) / TWELVE_DECIMALS;
        }
    }
    /// @dev reads the total supply out of Liquidity packed storage `totalAmounts_` for `supplyExchangePrice_`
    function getTotalSupply(
        uint256 totalAmounts_,
        uint256 supplyExchangePrice_
    ) internal pure returns (uint256 totalSupply_) {
        // totalSupply_ => supplyInterestFree
        totalSupply_ = (totalAmounts_ >> LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_SUPPLY_INTEREST_FREE) & X64;
        totalSupply_ = (totalSupply_ >> DEFAULT_EXPONENT_SIZE) << (totalSupply_ & DEFAULT_EXPONENT_MASK);
        uint256 totalSupplyRaw_ = totalAmounts_ & X64; // no shifting as supplyRaw is first 64 bits
        totalSupplyRaw_ = (totalSupplyRaw_ >> DEFAULT_EXPONENT_SIZE) << (totalSupplyRaw_ & DEFAULT_EXPONENT_MASK);
        // totalSupply = supplyInterestFree + supplyRawInterest normalized from raw
        totalSupply_ += ((totalSupplyRaw_ * supplyExchangePrice_) / EXCHANGE_PRICES_PRECISION);
    }
    /// @dev reads the total borrow out of Liquidity packed storage `totalAmounts_` for `borrowExchangePrice_`
    function getTotalBorrow(
        uint256 totalAmounts_,
        uint256 borrowExchangePrice_
    ) internal pure returns (uint256 totalBorrow_) {
        // totalBorrow_ => borrowInterestFree
        // no & mask needed for borrow interest free as it occupies the last bits in the storage slot
        totalBorrow_ = (totalAmounts_ >> LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_BORROW_INTEREST_FREE);
        totalBorrow_ = (totalBorrow_ >> DEFAULT_EXPONENT_SIZE) << (totalBorrow_ & DEFAULT_EXPONENT_MASK);
        uint256 totalBorrowRaw_ = (totalAmounts_ >> LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_BORROW_WITH_INTEREST) & X64;
        totalBorrowRaw_ = (totalBorrowRaw_ >> DEFAULT_EXPONENT_SIZE) << (totalBorrowRaw_ & DEFAULT_EXPONENT_MASK);
        // totalBorrow = borrowInterestFree + borrowRawInterest normalized from raw
        totalBorrow_ += ((totalBorrowRaw_ * borrowExchangePrice_) / EXCHANGE_PRICES_PRECISION);
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
/// @notice library that helps in reading / working with storage slot data of Fluid Liquidity.
/// @dev as all data for Fluid Liquidity is internal, any data must be fetched directly through manual
/// slot reading through this library or, if gas usage is less important, through the FluidLiquidityResolver.
library LiquiditySlotsLink {
    /// @dev storage slot for status at Liquidity
    uint256 internal constant LIQUIDITY_STATUS_SLOT = 1;
    /// @dev storage slot for auths mapping at Liquidity
    uint256 internal constant LIQUIDITY_AUTHS_MAPPING_SLOT = 2;
    /// @dev storage slot for guardians mapping at Liquidity
    uint256 internal constant LIQUIDITY_GUARDIANS_MAPPING_SLOT = 3;
    /// @dev storage slot for user class mapping at Liquidity
    uint256 internal constant LIQUIDITY_USER_CLASS_MAPPING_SLOT = 4;
    /// @dev storage slot for exchangePricesAndConfig mapping at Liquidity
    uint256 internal constant LIQUIDITY_EXCHANGE_PRICES_MAPPING_SLOT = 5;
    /// @dev storage slot for rateData mapping at Liquidity
    uint256 internal constant LIQUIDITY_RATE_DATA_MAPPING_SLOT = 6;
    /// @dev storage slot for totalAmounts mapping at Liquidity
    uint256 internal constant LIQUIDITY_TOTAL_AMOUNTS_MAPPING_SLOT = 7;
    /// @dev storage slot for user supply double mapping at Liquidity
    uint256 internal constant LIQUIDITY_USER_SUPPLY_DOUBLE_MAPPING_SLOT = 8;
    /// @dev storage slot for user borrow double mapping at Liquidity
    uint256 internal constant LIQUIDITY_USER_BORROW_DOUBLE_MAPPING_SLOT = 9;
    /// @dev storage slot for listed tokens array at Liquidity
    uint256 internal constant LIQUIDITY_LISTED_TOKENS_ARRAY_SLOT = 10;
    /// @dev storage slot for listed tokens array at Liquidity
    uint256 internal constant LIQUIDITY_CONFIGS2_MAPPING_SLOT = 11;
    // --------------------------------
    // @dev stacked uint256 storage slots bits position data for each:
    // ExchangePricesAndConfig
    uint256 internal constant BITS_EXCHANGE_PRICES_BORROW_RATE = 0;
    uint256 internal constant BITS_EXCHANGE_PRICES_FEE = 16;
    uint256 internal constant BITS_EXCHANGE_PRICES_UTILIZATION = 30;
    uint256 internal constant BITS_EXCHANGE_PRICES_UPDATE_THRESHOLD = 44;
    uint256 internal constant BITS_EXCHANGE_PRICES_LAST_TIMESTAMP = 58;
    uint256 internal constant BITS_EXCHANGE_PRICES_SUPPLY_EXCHANGE_PRICE = 91;
    uint256 internal constant BITS_EXCHANGE_PRICES_BORROW_EXCHANGE_PRICE = 155;
    uint256 internal constant BITS_EXCHANGE_PRICES_SUPPLY_RATIO = 219;
    uint256 internal constant BITS_EXCHANGE_PRICES_BORROW_RATIO = 234;
    uint256 internal constant BITS_EXCHANGE_PRICES_USES_CONFIGS2 = 249;
    // RateData:
    uint256 internal constant BITS_RATE_DATA_VERSION = 0;
    // RateData: V1
    uint256 internal constant BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_ZERO = 4;
    uint256 internal constant BITS_RATE_DATA_V1_UTILIZATION_AT_KINK = 20;
    uint256 internal constant BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_KINK = 36;
    uint256 internal constant BITS_RATE_DATA_V1_RATE_AT_UTILIZATION_MAX = 52;
    // RateData: V2
    uint256 internal constant BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_ZERO = 4;
    uint256 internal constant BITS_RATE_DATA_V2_UTILIZATION_AT_KINK1 = 20;
    uint256 internal constant BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK1 = 36;
    uint256 internal constant BITS_RATE_DATA_V2_UTILIZATION_AT_KINK2 = 52;
    uint256 internal constant BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_KINK2 = 68;
    uint256 internal constant BITS_RATE_DATA_V2_RATE_AT_UTILIZATION_MAX = 84;
    // TotalAmounts
    uint256 internal constant BITS_TOTAL_AMOUNTS_SUPPLY_WITH_INTEREST = 0;
    uint256 internal constant BITS_TOTAL_AMOUNTS_SUPPLY_INTEREST_FREE = 64;
    uint256 internal constant BITS_TOTAL_AMOUNTS_BORROW_WITH_INTEREST = 128;
    uint256 internal constant BITS_TOTAL_AMOUNTS_BORROW_INTEREST_FREE = 192;
    // UserSupplyData
    uint256 internal constant BITS_USER_SUPPLY_MODE = 0;
    uint256 internal constant BITS_USER_SUPPLY_AMOUNT = 1;
    uint256 internal constant BITS_USER_SUPPLY_PREVIOUS_WITHDRAWAL_LIMIT = 65;
    uint256 internal constant BITS_USER_SUPPLY_LAST_UPDATE_TIMESTAMP = 129;
    uint256 internal constant BITS_USER_SUPPLY_EXPAND_PERCENT = 162;
    uint256 internal constant BITS_USER_SUPPLY_EXPAND_DURATION = 176;
    uint256 internal constant BITS_USER_SUPPLY_BASE_WITHDRAWAL_LIMIT = 200;
    uint256 internal constant BITS_USER_SUPPLY_IS_PAUSED = 255;
    // UserBorrowData
    uint256 internal constant BITS_USER_BORROW_MODE = 0;
    uint256 internal constant BITS_USER_BORROW_AMOUNT = 1;
    uint256 internal constant BITS_USER_BORROW_PREVIOUS_BORROW_LIMIT = 65;
    uint256 internal constant BITS_USER_BORROW_LAST_UPDATE_TIMESTAMP = 129;
    uint256 internal constant BITS_USER_BORROW_EXPAND_PERCENT = 162;
    uint256 internal constant BITS_USER_BORROW_EXPAND_DURATION = 176;
    uint256 internal constant BITS_USER_BORROW_BASE_BORROW_LIMIT = 200;
    uint256 internal constant BITS_USER_BORROW_MAX_BORROW_LIMIT = 218;
    uint256 internal constant BITS_USER_BORROW_IS_PAUSED = 255;
    // Configs2
    uint256 internal constant BITS_CONFIGS2_MAX_UTILIZATION = 0;
    // --------------------------------
    /// @notice Calculating the slot ID for Liquidity contract for single mapping at `slot_` for `key_`
    function calculateMappingStorageSlot(uint256 slot_, address key_) internal pure returns (bytes32) {
        return keccak256(abi.encode(key_, slot_));
    }
    /// @notice Calculating the slot ID for Liquidity contract for double mapping at `slot_` for `key1_` and `key2_`
    function calculateDoubleMappingStorageSlot(
        uint256 slot_,
        address key1_,
        address key2_
    ) internal pure returns (bytes32) {
        bytes32 intermediateSlot_ = keccak256(abi.encode(key1_, slot_));
        return keccak256(abi.encode(key2_, intermediateSlot_));
    }
}
// SPDX-License-Identifier: MIT OR Apache-2.0
pragma solidity 0.8.21;
import { LibsErrorTypes as ErrorTypes } from "./errorTypes.sol";
/// @notice provides minimalistic methods for safe transfers, e.g. ERC20 safeTransferFrom
library SafeTransfer {
    uint256 internal constant MAX_NATIVE_TRANSFER_GAS = 20000; // pass max. 20k gas for native transfers
    error FluidSafeTransferError(uint256 errorId_);
    /// @dev Transfer `amount_` of `token_` from `from_` to `to_`, spending the approval given by `from_` to the
    /// calling contract. If `token_` returns no value, non-reverting calls are assumed to be successful.
    /// Minimally modified from Solmate SafeTransferLib (address as input param for token, Custom Error):
    /// https://github.com/transmissions11/solmate/blob/50e15bb566f98b7174da9b0066126a4c3e75e0fd/src/utils/SafeTransferLib.sol#L31-L63
    function safeTransferFrom(address token_, address from_, address to_, uint256 amount_) internal {
        bool success_;
        /// @solidity memory-safe-assembly
        assembly {
            // Get a pointer to some free memory.
            let freeMemoryPointer := mload(0x40)
            // Write the abi-encoded calldata into memory, beginning with the function selector.
            mstore(freeMemoryPointer, 0x23b872dd00000000000000000000000000000000000000000000000000000000)
            mstore(add(freeMemoryPointer, 4), and(from_, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "from_" argument.
            mstore(add(freeMemoryPointer, 36), and(to_, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "to_" argument.
            mstore(add(freeMemoryPointer, 68), amount_) // Append the "amount_" argument. Masking not required as it's a full 32 byte type.
            success_ := and(
                // Set success to whether the call reverted, if not we check it either
                // returned exactly 1 (can't just be non-zero data), or had no return data.
                or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                // We use 100 because the length of our calldata totals up like so: 4 + 32 * 3.
                // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                // Counterintuitively, this call must be positioned second to the or() call in the
                // surrounding and() call or else returndatasize() will be zero during the computation.
                call(gas(), token_, 0, freeMemoryPointer, 100, 0, 32)
            )
        }
        if (!success_) {
            revert FluidSafeTransferError(ErrorTypes.SafeTransfer__TransferFromFailed);
        }
    }
    /// @dev Transfer `amount_` of `token_` to `to_`.
    /// If `token_` returns no value, non-reverting calls are assumed to be successful.
    /// Minimally modified from Solmate SafeTransferLib (address as input param for token, Custom Error):
    /// https://github.com/transmissions11/solmate/blob/50e15bb566f98b7174da9b0066126a4c3e75e0fd/src/utils/SafeTransferLib.sol#L65-L95
    function safeTransfer(address token_, address to_, uint256 amount_) internal {
        bool success_;
        /// @solidity memory-safe-assembly
        assembly {
            // Get a pointer to some free memory.
            let freeMemoryPointer := mload(0x40)
            // Write the abi-encoded calldata into memory, beginning with the function selector.
            mstore(freeMemoryPointer, 0xa9059cbb00000000000000000000000000000000000000000000000000000000)
            mstore(add(freeMemoryPointer, 4), and(to_, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "to_" argument.
            mstore(add(freeMemoryPointer, 36), amount_) // Append the "amount_" argument. Masking not required as it's a full 32 byte type.
            success_ := and(
                // Set success to whether the call reverted, if not we check it either
                // returned exactly 1 (can't just be non-zero data), or had no return data.
                or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                // Counterintuitively, this call must be positioned second to the or() call in the
                // surrounding and() call or else returndatasize() will be zero during the computation.
                call(gas(), token_, 0, freeMemoryPointer, 68, 0, 32)
            )
        }
        if (!success_) {
            revert FluidSafeTransferError(ErrorTypes.SafeTransfer__TransferFailed);
        }
    }
    /// @dev Transfer `amount_` of ` native token to `to_`.
    /// Minimally modified from Solmate SafeTransferLib (Custom Error):
    /// https://github.com/transmissions11/solmate/blob/50e15bb566f98b7174da9b0066126a4c3e75e0fd/src/utils/SafeTransferLib.sol#L15-L25
    function safeTransferNative(address to_, uint256 amount_) internal {
        bool success_;
        /// @solidity memory-safe-assembly
        assembly {
            // Transfer the ETH and store if it succeeded or not. Pass limited gas
            success_ := call(MAX_NATIVE_TRANSFER_GAS, to_, amount_, 0, 0, 0, 0)
        }
        if (!success_) {
            revert FluidSafeTransferError(ErrorTypes.SafeTransfer__TransferFailed);
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { Variables } from "./variables.sol";
import { ErrorTypes } from "../errorTypes.sol";
import { Error } from "../error.sol";
/// @dev ReentrancyGuard based on OpenZeppelin implementation.
/// https://github.com/OpenZeppelin/openzeppelin-contracts/blob/release-v4.8/contracts/security/ReentrancyGuard.sol
abstract contract ReentrancyGuard is Variables, Error {
    uint8 internal constant REENTRANCY_NOT_ENTERED = 1;
    uint8 internal constant REENTRANCY_ENTERED = 2;
    constructor() {
        // on logic contracts, switch reentrancy to entered so no call is possible (forces delegatecall)
        _status = REENTRANCY_ENTERED; 
    }
    /// @dev Prevents a contract from calling itself, directly or indirectly.
    /// See OpenZeppelin implementation for more info
    modifier reentrancy() {
        // On the first call to nonReentrant, _status will be NOT_ENTERED
        if (_status == REENTRANCY_ENTERED) {
            revert FluidLiquidityError(ErrorTypes.LiquidityHelpers__Reentrancy);
        }
        // Any calls to nonReentrant after this point will fail
        _status = REENTRANCY_ENTERED;
        _;
        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = REENTRANCY_NOT_ENTERED;
    }
}
abstract contract CommonHelpers is ReentrancyGuard {
    /// @dev Returns the current admin (governance).
    function _getGovernanceAddr() internal view returns (address governance_) {
        assembly {
            governance_ := sload(GOVERNANCE_SLOT)
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
contract ConstantVariables {
    /// @dev Storage slot with the admin of the contract. Logic from "proxy.sol".
    /// This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1, and is validated in the constructor.
    bytes32 internal constant GOVERNANCE_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;
    uint256 internal constant EXCHANGE_PRICES_PRECISION = 1e12;
    /// @dev address that is mapped to the chain native token
    address internal constant NATIVE_TOKEN_ADDRESS = 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE;
    /// @dev decimals for native token
    // !! Double check compatibility with all code if this ever changes for a deployment !!
    uint8 internal constant NATIVE_TOKEN_DECIMALS = 18;
    /// @dev Minimum token decimals for any token that can be listed at Liquidity (inclusive)
    uint8 internal constant MIN_TOKEN_DECIMALS = 6;
    /// @dev Maximum token decimals for any token that can be listed at Liquidity (inclusive)
    uint8 internal constant MAX_TOKEN_DECIMALS = 18;
    /// @dev Ignoring leap years
    uint256 internal constant SECONDS_PER_YEAR = 365 days;
    /// @dev limit any total amount to be half of type(uint128).max (~3.4e38) at type(int128).max (~1.7e38) as safety
    /// measure for any potential overflows / unexpected outcomes. This is checked for total borrow / supply.
    uint256 internal constant MAX_TOKEN_AMOUNT_CAP = uint256(uint128(type(int128).max));
    /// @dev limit for triggering a revert if sent along excess input amount diff is bigger than this percentage (in 1e2)
    uint256 internal constant MAX_INPUT_AMOUNT_EXCESS = 100; // 1%
    /// @dev if this bytes32 is set in the calldata, then token transfers are skipped as long as Liquidity layer is on the winning side.
    bytes32 internal constant SKIP_TRANSFERS = keccak256(bytes("SKIP_TRANSFERS"));
    /// @dev time after which a write to storage of exchangePricesAndConfig will happen always.
    uint256 internal constant FORCE_STORAGE_WRITE_AFTER_TIME = 1 days;
    /// @dev constants used for BigMath conversion from and to storage
    uint256 internal constant SMALL_COEFFICIENT_SIZE = 10;
    uint256 internal constant DEFAULT_COEFFICIENT_SIZE = 56;
    uint256 internal constant DEFAULT_EXPONENT_SIZE = 8;
    uint256 internal constant DEFAULT_EXPONENT_MASK = 0xFF;
    /// @dev constants to increase readability for using bit masks
    uint256 internal constant FOUR_DECIMALS = 1e4;
    uint256 internal constant TWELVE_DECIMALS = 1e12;
    uint256 internal constant X8 = 0xff;
    uint256 internal constant X14 = 0x3fff;
    uint256 internal constant X15 = 0x7fff;
    uint256 internal constant X16 = 0xffff;
    uint256 internal constant X18 = 0x3ffff;
    uint256 internal constant X24 = 0xffffff;
    uint256 internal constant X33 = 0x1ffffffff;
    uint256 internal constant X64 = 0xffffffffffffffff;
}
contract Variables is ConstantVariables {
    /// @dev address of contract that gets sent the revenue. Configurable by governance
    address internal _revenueCollector;
    // 12 bytes empty
    // ----- storage slot 1 ------
    /// @dev paused status: status = 1 -> normal. status = 2 -> paused.
    /// not tightly packed with revenueCollector address to allow for potential changes later that improve gas more
    /// (revenueCollector is only rarely used by admin methods, where optimization is not as important).
    /// to be replaced with transient storage once EIP-1153 Transient storage becomes available with dencun upgrade.
    uint256 internal _status;
    // ----- storage slot 2 ------
    /// @dev Auths can set most config values. E.g. contracts that automate certain flows like e.g. adding a new fToken.
    /// Governance can add/remove auths.
    /// Governance is auth by default
    mapping(address => uint256) internal _isAuth;
    // ----- storage slot 3 ------
    /// @dev Guardians can pause lower class users
    /// Governance can add/remove guardians
    /// Governance is guardian by default
    mapping(address => uint256) internal _isGuardian;
    // ----- storage slot 4 ------
    /// @dev class defines which protocols can be paused by guardians
    /// Currently there are 2 classes: 0 can be paused by guardians. 1 cannot be paused by guardians.
    /// New protocols are added as class 0 and will be upgraded to 1 over time.
    mapping(address => uint256) internal _userClass;
    // ----- storage slot 5 ------
    /// @dev exchange prices and token config per token: token -> exchange prices & config
    /// First 16 bits =>   0- 15 => borrow rate (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next  14 bits =>  16- 29 => fee on interest from borrowers to lenders (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383). configurable.
    /// Next  14 bits =>  30- 43 => last stored utilization (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
    /// Next  14 bits =>  44- 57 => update on storage threshold (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383). configurable.
    /// Next  33 bits =>  58- 90 => last update timestamp (enough until 16 March 2242 -> max value 8589934591)
    /// Next  64 bits =>  91-154 => supply exchange price (1e12 -> max value 18_446_744,073709551615)
    /// Next  64 bits => 155-218 => borrow exchange price (1e12 -> max value 18_446_744,073709551615)
    /// Next   1 bit  => 219-219 => if 0 then ratio is supplyInterestFree / supplyWithInterest else ratio is supplyWithInterest / supplyInterestFree
    /// Next  14 bits => 220-233 => supplyRatio: supplyInterestFree / supplyWithInterest (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
    /// Next   1 bit  => 234-234 => if 0 then ratio is borrowInterestFree / borrowWithInterest else ratio is borrowWithInterest / borrowInterestFree
    /// Next  14 bits => 235-248 => borrowRatio: borrowInterestFree / borrowWithInterest (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
    /// Next   1 bit  => 249-249 => flag for token uses config storage slot 2. (signals SLOAD for additional config slot is needed during execution)
    /// Last   6 bits => 250-255 => empty for future use
    ///                             if more free bits are needed in the future, update on storage threshold bits could be reduced to 7 bits
    ///                             (can plan to add `MAX_TOKEN_CONFIG_UPDATE_THRESHOLD` but need to adjust more bits)
    ///                             if more bits absolutely needed then we can convert fee, utilization, update on storage threshold,
    ///                             supplyRatio & borrowRatio from 14 bits to 10bits (1023 max number) where 1000 = 100% & 1 = 0.1%
    mapping(address => uint256) internal _exchangePricesAndConfig;
    // ----- storage slot 6 ------
    /// @dev Rate related data per token: token -> rate data
    /// READ (SLOAD): all actions; WRITE (SSTORE): only on set config admin actions
    /// token => rate related data
    /// First 4 bits  =>     0-3 => rate version
    /// rest of the bits are rate dependent:
    /// For rate v1 (one kink) ------------------------------------------------------
    /// Next 16  bits =>  4 - 19 => Rate at utilization 0% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next 16  bits =>  20- 35 => Utilization at kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next 16  bits =>  36- 51 => Rate at utilization kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next 16  bits =>  52- 67 => Rate at utilization 100% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Last 188 bits =>  68-255 => empty for future use
    /// For rate v2 (two kinks) -----------------------------------------------------
    /// Next 16  bits =>  4 - 19 => Rate at utilization 0% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next 16  bits =>  20- 35 => Utilization at kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next 16  bits =>  36- 51 => Rate at utilization kink1 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next 16  bits =>  52- 67 => Utilization at kink2 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next 16  bits =>  68- 83 => Rate at utilization kink2 (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next 16  bits =>  84- 99 => Rate at utilization 100% (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Last 156 bits => 100-255 => empty for future use
    mapping(address => uint256) internal _rateData;
    // ----- storage slot 7 ------
    /// @dev total supply / borrow amounts for with / without interest per token: token -> amounts
    /// First  64 bits =>   0- 63 => total supply with interest in raw (totalSupply = totalSupplyRaw * supplyExchangePrice); BigMath: 56 | 8
    /// Next   64 bits =>  64-127 => total interest free supply in normal token amount (totalSupply = totalSupply); BigMath: 56 | 8
    /// Next   64 bits => 128-191 => total borrow with interest in raw (totalBorrow = totalBorrowRaw * borrowExchangePrice); BigMath: 56 | 8
    /// Next   64 bits => 192-255 => total interest free borrow in normal token amount (totalBorrow = totalBorrow); BigMath: 56 | 8
    mapping(address => uint256) internal _totalAmounts;
    // ----- storage slot 8 ------
    /// @dev user supply data per token: user -> token -> data
    /// First  1 bit  =>       0 => mode: user supply with or without interest
    ///                             0 = without, amounts are in normal (i.e. no need to multiply with exchange price)
    ///                             1 = with interest, amounts are in raw (i.e. must multiply with exchange price to get actual token amounts)
    /// Next  64 bits =>   1- 64 => user supply amount (normal or raw depends on 1st bit); BigMath: 56 | 8
    /// Next  64 bits =>  65-128 => previous user withdrawal limit (normal or raw depends on 1st bit); BigMath: 56 | 8
    /// Next  33 bits => 129-161 => last triggered process timestamp (enough until 16 March 2242 -> max value 8589934591)
    /// Next  14 bits => 162-175 => expand withdrawal limit percentage (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383).
    ///                             @dev shrinking is instant
    /// Next  24 bits => 176-199 => withdrawal limit expand duration in seconds.(Max value 16_777_215; ~4_660 hours, ~194 days)
    /// Next  18 bits => 200-217 => base withdrawal limit: below this, 100% withdrawals can be done (normal or raw depends on 1st bit); BigMath: 10 | 8
    /// Next  37 bits => 218-254 => empty for future use
    /// Last     bit  => 255-255 => is user paused (1 = paused, 0 = not paused)
    mapping(address => mapping(address => uint256)) internal _userSupplyData;
    // ----- storage slot 9 ------
    /// @dev user borrow data per token: user -> token -> data
    /// First  1 bit  =>       0 => mode: user borrow with or without interest
    ///                             0 = without, amounts are in normal (i.e. no need to multiply with exchange price)
    ///                             1 = with interest, amounts are in raw (i.e. must multiply with exchange price to get actual token amounts)
    /// Next  64 bits =>   1- 64 => user borrow amount (normal or raw depends on 1st bit); BigMath: 56 | 8
    /// Next  64 bits =>  65-128 => previous user debt ceiling (normal or raw depends on 1st bit); BigMath: 56 | 8
    /// Next  33 bits => 129-161 => last triggered process timestamp (enough until 16 March 2242 -> max value 8589934591)
    /// Next  14 bits => 162-175 => expand debt ceiling percentage (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
    ///                             @dev shrinking is instant
    /// Next  24 bits => 176-199 => debt ceiling expand duration in seconds (Max value 16_777_215; ~4_660 hours, ~194 days)
    /// Next  18 bits => 200-217 => base debt ceiling: below this, there's no debt ceiling limits (normal or raw depends on 1st bit); BigMath: 10 | 8
    /// Next  18 bits => 218-235 => max debt ceiling: absolute maximum debt ceiling can expand to (normal or raw depends on 1st bit); BigMath: 10 | 8
    /// Next  19 bits => 236-254 => empty for future use
    /// Last     bit  => 255-255 => is user paused (1 = paused, 0 = not paused)
    mapping(address => mapping(address => uint256)) internal _userBorrowData;
    // ----- storage slot 10 ------
    /// @dev list of allowed tokens at Liquidity. tokens that are once configured can never be completely removed. so this
    ///      array is append-only.
    address[] internal _listedTokens;
    // ----- storage slot 11 ------
    /// @dev expanded token configs per token: token -> config data slot 2.
    ///      Use of this is signaled by `_exchangePricesAndConfig` bit 249.
    /// First 14 bits =>   0- 13 => max allowed utilization (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383). configurable.
    /// Last 242 bits =>  14-255 => empty for future use
    mapping(address => uint256) internal _configs2;
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
contract Error {
    error FluidLiquidityError(uint256 errorId_);
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
library ErrorTypes {
    /***********************************|
    |         Admin Module              | 
    |__________________________________*/
    /// @notice thrown when an input address is zero
    uint256 internal constant AdminModule__AddressZero = 10001;
    /// @notice thrown when msg.sender is not governance
    uint256 internal constant AdminModule__OnlyGovernance = 10002;
    /// @notice thrown when msg.sender is not auth
    uint256 internal constant AdminModule__OnlyAuths = 10003;
    /// @notice thrown when msg.sender is not guardian
    uint256 internal constant AdminModule__OnlyGuardians = 10004;
    /// @notice thrown when base withdrawal limit, base debt limit or max withdrawal limit is sent as 0
    uint256 internal constant AdminModule__LimitZero = 10005;
    /// @notice thrown whenever an invalid input param is given
    uint256 internal constant AdminModule__InvalidParams = 10006;
    /// @notice thrown if user class 1 is paused (can not be paused)
    uint256 internal constant AdminModule__UserNotPausable = 10007;
    /// @notice thrown if user is tried to be unpaused but is not paused in the first place
    uint256 internal constant AdminModule__UserNotPaused = 10008;
    /// @notice thrown if user is not defined yet: Governance didn't yet set any config for this user on a particular token
    uint256 internal constant AdminModule__UserNotDefined = 10009;
    /// @notice thrown if a token is configured in an invalid order:  1. Set rate config for token 2. Set token config 3. allow any user.
    uint256 internal constant AdminModule__InvalidConfigOrder = 10010;
    /// @notice thrown if revenue is collected when revenue collector address is not set
    uint256 internal constant AdminModule__RevenueCollectorNotSet = 10011;
    /// @notice all ValueOverflow errors below are thrown if a certain input param overflows the allowed storage size
    uint256 internal constant AdminModule__ValueOverflow__RATE_AT_UTIL_ZERO = 10012;
    uint256 internal constant AdminModule__ValueOverflow__RATE_AT_UTIL_KINK = 10013;
    uint256 internal constant AdminModule__ValueOverflow__RATE_AT_UTIL_MAX = 10014;
    uint256 internal constant AdminModule__ValueOverflow__RATE_AT_UTIL_KINK1 = 10015;
    uint256 internal constant AdminModule__ValueOverflow__RATE_AT_UTIL_KINK2 = 10016;
    uint256 internal constant AdminModule__ValueOverflow__RATE_AT_UTIL_MAX_V2 = 10017;
    uint256 internal constant AdminModule__ValueOverflow__FEE = 10018;
    uint256 internal constant AdminModule__ValueOverflow__THRESHOLD = 10019;
    uint256 internal constant AdminModule__ValueOverflow__EXPAND_PERCENT = 10020;
    uint256 internal constant AdminModule__ValueOverflow__EXPAND_DURATION = 10021;
    uint256 internal constant AdminModule__ValueOverflow__EXPAND_PERCENT_BORROW = 10022;
    uint256 internal constant AdminModule__ValueOverflow__EXPAND_DURATION_BORROW = 10023;
    uint256 internal constant AdminModule__ValueOverflow__EXCHANGE_PRICES = 10024;
    uint256 internal constant AdminModule__ValueOverflow__UTILIZATION = 10025;
    /// @notice thrown when an address is not a contract
    uint256 internal constant AdminModule__AddressNotAContract = 10026;
    uint256 internal constant AdminModule__ValueOverflow__MAX_UTILIZATION = 10027;
    /// @notice thrown if a token that is being listed has not between 6 and 18 decimals
    uint256 internal constant AdminModule__TokenInvalidDecimalsRange = 10028;
    /***********************************|
    |          User Module              | 
    |__________________________________*/
    /// @notice thrown when user operations are paused for an interacted token
    uint256 internal constant UserModule__UserNotDefined = 11001;
    /// @notice thrown when user operations are paused for an interacted token
    uint256 internal constant UserModule__UserPaused = 11002;
    /// @notice thrown when user's try to withdraw below withdrawal limit
    uint256 internal constant UserModule__WithdrawalLimitReached = 11003;
    /// @notice thrown when user's try to borrow above borrow limit
    uint256 internal constant UserModule__BorrowLimitReached = 11004;
    /// @notice thrown when user sent supply/withdraw and borrow/payback both as 0
    uint256 internal constant UserModule__OperateAmountsZero = 11005;
    /// @notice thrown when user sent supply/withdraw or borrow/payback both as bigger than 2**128
    uint256 internal constant UserModule__OperateAmountOutOfBounds = 11006;
    /// @notice thrown when the operate amount for supply / withdraw / borrow / payback is below the minimum amount
    /// that would cause a storage difference after BigMath & rounding imprecision. Extremely unlikely to ever happen
    /// for all normal use-cases.
    uint256 internal constant UserModule__OperateAmountInsufficient = 11007;
    /// @notice thrown when withdraw or borrow is executed but withdrawTo or borrowTo is the zero address
    uint256 internal constant UserModule__ReceiverNotDefined = 11008;
    /// @notice thrown when user did send excess or insufficient amount (beyond rounding issues)
    uint256 internal constant UserModule__TransferAmountOutOfBounds = 11009;
    /// @notice thrown when user sent msg.value along for an operation not for the native token
    uint256 internal constant UserModule__MsgValueForNonNativeToken = 11010;
    /// @notice thrown when a borrow operation is done when utilization is above 100%
    uint256 internal constant UserModule__MaxUtilizationReached = 11011;
    /// @notice all ValueOverflow errors below are thrown if a certain input param or calc result overflows the allowed storage size
    uint256 internal constant UserModule__ValueOverflow__EXCHANGE_PRICES = 11012;
    uint256 internal constant UserModule__ValueOverflow__UTILIZATION = 11013;
    uint256 internal constant UserModule__ValueOverflow__TOTAL_SUPPLY = 11014;
    uint256 internal constant UserModule__ValueOverflow__TOTAL_BORROW = 11015;
    /// @notice thrown when SKIP_TRANSFERS is set but the input params are invalid for skipping transfers
    uint256 internal constant UserModule__SkipTransfersInvalid = 11016;
    /***********************************|
    |         LiquidityHelpers          | 
    |__________________________________*/
    /// @notice thrown when a reentrancy happens
    uint256 internal constant LiquidityHelpers__Reentrancy = 12001;
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
contract Events {
    /// @notice emitted on any `operate()` execution: deposit / supply / withdraw / borrow.
    /// includes info related to the executed operation, new total amounts (packed uint256 of BigMath numbers as in storage)
    /// and exchange prices (packed uint256 as in storage).
    /// @param user protocol that triggered this operation (e.g. via an fToken or via Vault protocol)
    /// @param token token address for which this operation was executed
    /// @param supplyAmount supply amount for the operation. if >0 then a deposit happened, if <0 then a withdrawal happened.
    ///                     if 0 then nothing.
    /// @param borrowAmount borrow amount for the operation. if >0 then a borrow happened, if <0 then a payback happened.
    ///                     if 0 then nothing.
    /// @param withdrawTo   address that funds where withdrawn to (if supplyAmount <0)
    /// @param borrowTo     address that funds where borrowed to (if borrowAmount >0)
    /// @param totalAmounts updated total amounts, stacked uint256 as written to storage:
    /// First  64 bits =>   0- 63 => total supply with interest in raw (totalSupply = totalSupplyRaw * supplyExchangePrice); BigMath: 56 | 8
    /// Next   64 bits =>  64-127 => total interest free supply in normal token amount (totalSupply = totalSupply); BigMath: 56 | 8
    /// Next   64 bits => 128-191 => total borrow with interest in raw (totalBorrow = totalBorrowRaw * borrowExchangePrice); BigMath: 56 | 8
    /// Next   64 bits => 192-255 => total interest free borrow in normal token amount (totalBorrow = totalBorrow); BigMath: 56 | 8
    /// @param exchangePricesAndConfig updated exchange prices and configs storage slot. Contains updated supply & borrow exchange price:
    /// First 16 bits =>   0- 15 => borrow rate (in 1e2: 100% = 10_000; 1% = 100 -> max value 65535)
    /// Next  14 bits =>  16- 29 => fee on interest from borrowers to lenders (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383). configurable.
    /// Next  14 bits =>  30- 43 => last stored utilization (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
    /// Next  14 bits =>  44- 57 => update on storage threshold (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383). configurable.
    /// Next  33 bits =>  58- 90 => last update timestamp (enough until 16 March 2242 -> max value 8589934591)
    /// Next  64 bits =>  91-154 => supply exchange price (1e12 -> max value 18_446_744,073709551615)
    /// Next  64 bits => 155-218 => borrow exchange price (1e12 -> max value 18_446_744,073709551615)
    /// Next   1 bit  => 219-219 => if 0 then ratio is supplyInterestFree / supplyWithInterest else ratio is supplyWithInterest / supplyInterestFree
    /// Next  14 bits => 220-233 => supplyRatio: supplyInterestFree / supplyWithInterest (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
    /// Next   1 bit  => 234-234 => if 0 then ratio is borrowInterestFree / borrowWithInterest else ratio is borrowWithInterest / borrowInterestFree
    /// Next  14 bits => 235-248 => borrowRatio: borrowInterestFree / borrowWithInterest (in 1e2: 100% = 10_000; 1% = 100 -> max value 16_383)
    event LogOperate(
        address indexed user,
        address indexed token,
        int256 supplyAmount,
        int256 borrowAmount,
        address withdrawTo,
        address borrowTo,
        uint256 totalAmounts,
        uint256 exchangePricesAndConfig
    );
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.21;
import { IERC20 } from "@openzeppelin/contracts/interfaces/IERC20.sol";
import { FixedPointMathLib } from "solmate/src/utils/FixedPointMathLib.sol";
import { BigMathMinified } from "../../libraries/bigMathMinified.sol";
import { LiquidityCalcs } from "../../libraries/liquidityCalcs.sol";
import { LiquiditySlotsLink } from "../../libraries/liquiditySlotsLink.sol";
import { SafeTransfer } from "../../libraries/safeTransfer.sol";
import { CommonHelpers } from "../common/helpers.sol";
import { Events } from "./events.sol";
import { ErrorTypes } from "../errorTypes.sol";
import { Error } from "../error.sol";
interface IProtocol {
    function liquidityCallback(address token_, uint256 amount_, bytes calldata data_) external;
}
abstract contract CoreInternals is Error, CommonHelpers, Events {
    using BigMathMinified for uint256;
    /// @dev supply or withdraw for both with interest & interest free.
    /// positive `amount_` is deposit, negative `amount_` is withdraw.
    function _supplyOrWithdraw(
        address token_,
        int256 amount_,
        uint256 supplyExchangePrice_
    ) internal returns (int256 newSupplyInterestRaw_, int256 newSupplyInterestFree_) {
        uint256 userSupplyData_ = _userSupplyData[msg.sender][token_];
        if (userSupplyData_ == 0) {
            revert FluidLiquidityError(ErrorTypes.UserModule__UserNotDefined);
        }
        if ((userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_IS_PAUSED) & 1 == 1) {
            revert FluidLiquidityError(ErrorTypes.UserModule__UserPaused);
        }
        // extract user supply amount
        uint256 userSupply_ = (userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_AMOUNT) & X64;
        userSupply_ = (userSupply_ >> DEFAULT_EXPONENT_SIZE) << (userSupply_ & DEFAULT_EXPONENT_MASK);
        // calculate current, updated (expanded etc.) withdrawal limit
        uint256 newWithdrawalLimit_ = LiquidityCalcs.calcWithdrawalLimitBeforeOperate(userSupplyData_, userSupply_);
        // calculate updated user supply amount
        if (userSupplyData_ & 1 == 1) {
            // mode: with interest
            if (amount_ > 0) {
                // convert amount from normal to raw (divide by exchange price) -> round down for deposit
                newSupplyInterestRaw_ = (amount_ * int256(EXCHANGE_PRICES_PRECISION)) / int256(supplyExchangePrice_);
                userSupply_ = userSupply_ + uint256(newSupplyInterestRaw_);
            } else {
                // convert amount from normal to raw (divide by exchange price) -> round up for withdraw
                newSupplyInterestRaw_ = -int256(
                    FixedPointMathLib.mulDivUp(uint256(-amount_), EXCHANGE_PRICES_PRECISION, supplyExchangePrice_)
                );
                // if withdrawal is more than user's supply then solidity will throw here
                userSupply_ = userSupply_ - uint256(-newSupplyInterestRaw_);
            }
        } else {
            // mode: without interest
            newSupplyInterestFree_ = amount_;
            if (newSupplyInterestFree_ > 0) {
                userSupply_ = userSupply_ + uint256(newSupplyInterestFree_);
            } else {
                // if withdrawal is more than user's supply then solidity will throw here
                userSupply_ = userSupply_ - uint256(-newSupplyInterestFree_);
            }
        }
        if (amount_ < 0 && userSupply_ < newWithdrawalLimit_) {
            // if withdraw, then check the user supply after withdrawal is above withdrawal limit
            revert FluidLiquidityError(ErrorTypes.UserModule__WithdrawalLimitReached);
        }
        // calculate withdrawal limit to store as previous withdrawal limit in storage
        newWithdrawalLimit_ = LiquidityCalcs.calcWithdrawalLimitAfterOperate(
            userSupplyData_,
            userSupply_,
            newWithdrawalLimit_
        );
        // Converting user's supply into BigNumber
        userSupply_ = userSupply_.toBigNumber(
            DEFAULT_COEFFICIENT_SIZE,
            DEFAULT_EXPONENT_SIZE,
            BigMathMinified.ROUND_DOWN
        );
        if (((userSupplyData_ >> LiquiditySlotsLink.BITS_USER_SUPPLY_AMOUNT) & X64) == userSupply_) {
            // make sure that operate amount is not so small that it wouldn't affect storage update. if a difference
            // is present then rounding will be in the right direction to avoid any potential manipulation.
            revert FluidLiquidityError(ErrorTypes.UserModule__OperateAmountInsufficient);
        }
        // Converting withdrawal limit into BigNumber
        newWithdrawalLimit_ = newWithdrawalLimit_.toBigNumber(
            DEFAULT_COEFFICIENT_SIZE,
            DEFAULT_EXPONENT_SIZE,
            BigMathMinified.ROUND_DOWN
        );
        // Updating on storage
        _userSupplyData[msg.sender][token_] =
            // mask to update bits 1-161 (supply amount, withdrawal limit, timestamp)
            (userSupplyData_ & 0xfffffffffffffffffffffffc0000000000000000000000000000000000000001) |
            (userSupply_ << LiquiditySlotsLink.BITS_USER_SUPPLY_AMOUNT) | // converted to BigNumber can not overflow
            (newWithdrawalLimit_ << LiquiditySlotsLink.BITS_USER_SUPPLY_PREVIOUS_WITHDRAWAL_LIMIT) | // converted to BigNumber can not overflow
            (block.timestamp << LiquiditySlotsLink.BITS_USER_SUPPLY_LAST_UPDATE_TIMESTAMP);
    }
    /// @dev borrow or payback for both with interest & interest free.
    /// positive `amount_` is borrow, negative `amount_` is payback.
    function _borrowOrPayback(
        address token_,
        int256 amount_,
        uint256 borrowExchangePrice_
    ) internal returns (int256 newBorrowInterestRaw_, int256 newBorrowInterestFree_) {
        uint256 userBorrowData_ = _userBorrowData[msg.sender][token_];
        if (userBorrowData_ == 0) {
            revert FluidLiquidityError(ErrorTypes.UserModule__UserNotDefined);
        }
        if ((userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_IS_PAUSED) & 1 == 1) {
            revert FluidLiquidityError(ErrorTypes.UserModule__UserPaused);
        }
        // extract user borrow amount
        uint256 userBorrow_ = (userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_AMOUNT) & X64;
        userBorrow_ = (userBorrow_ >> DEFAULT_EXPONENT_SIZE) << (userBorrow_ & DEFAULT_EXPONENT_MASK);
        // calculate current, updated (expanded etc.) borrow limit
        uint256 newBorrowLimit_ = LiquidityCalcs.calcBorrowLimitBeforeOperate(userBorrowData_, userBorrow_);
        // calculate updated user borrow amount
        if (userBorrowData_ & 1 == 1) {
            // with interest
            if (amount_ > 0) {
                // convert amount normal to raw (divide by exchange price) -> round up for borrow
                newBorrowInterestRaw_ = int256(
                    FixedPointMathLib.mulDivUp(uint256(amount_), EXCHANGE_PRICES_PRECISION, borrowExchangePrice_)
                );
                userBorrow_ = userBorrow_ + uint256(newBorrowInterestRaw_);
            } else {
                // convert amount from normal to raw (divide by exchange price) -> round down for payback
                newBorrowInterestRaw_ = (amount_ * int256(EXCHANGE_PRICES_PRECISION)) / int256(borrowExchangePrice_);
                userBorrow_ = userBorrow_ - uint256(-newBorrowInterestRaw_);
            }
        } else {
            // without interest
            newBorrowInterestFree_ = amount_;
            if (newBorrowInterestFree_ > 0) {
                // borrowing
                userBorrow_ = userBorrow_ + uint256(newBorrowInterestFree_);
            } else {
                // payback
                userBorrow_ = userBorrow_ - uint256(-newBorrowInterestFree_);
            }
        }
        if (amount_ > 0 && userBorrow_ > newBorrowLimit_) {
            // if borrow, then check the user borrow amount after borrowing is below borrow limit
            revert FluidLiquidityError(ErrorTypes.UserModule__BorrowLimitReached);
        }
        // calculate borrow limit to store as previous borrow limit in storage
        newBorrowLimit_ = LiquidityCalcs.calcBorrowLimitAfterOperate(userBorrowData_, userBorrow_, newBorrowLimit_);
        // Converting user's borrowings into bignumber
        userBorrow_ = userBorrow_.toBigNumber(
            DEFAULT_COEFFICIENT_SIZE,
            DEFAULT_EXPONENT_SIZE,
            BigMathMinified.ROUND_UP
        );
        if (((userBorrowData_ >> LiquiditySlotsLink.BITS_USER_BORROW_AMOUNT) & X64) == userBorrow_) {
            // make sure that operate amount is not so small that it wouldn't affect storage update. if a difference
            // is present then rounding will be in the right direction to avoid any potential manipulation.
            revert FluidLiquidityError(ErrorTypes.UserModule__OperateAmountInsufficient);
        }
        // Converting borrow limit into bignumber
        newBorrowLimit_ = newBorrowLimit_.toBigNumber(
            DEFAULT_COEFFICIENT_SIZE,
            DEFAULT_EXPONENT_SIZE,
            BigMathMinified.ROUND_DOWN
        );
        // Updating on storage
        _userBorrowData[msg.sender][token_] =
            // mask to update bits 1-161 (borrow amount, borrow limit, timestamp)
            (userBorrowData_ & 0xfffffffffffffffffffffffc0000000000000000000000000000000000000001) |
            (userBorrow_ << LiquiditySlotsLink.BITS_USER_BORROW_AMOUNT) | // converted to BigNumber can not overflow
            (newBorrowLimit_ << LiquiditySlotsLink.BITS_USER_BORROW_PREVIOUS_BORROW_LIMIT) | // converted to BigNumber can not overflow
            (block.timestamp << LiquiditySlotsLink.BITS_USER_BORROW_LAST_UPDATE_TIMESTAMP);
    }
    /// @dev checks if `supplyAmount_` & `borrowAmount_` amounts transfers can be skipped (DEX-protocol use-case).
    /// -   Requirements:
    /// -  ` callbackData_` MUST be encoded so that "from" address is the last 20 bytes in the last 32 bytes slot,
    ///     also for native token operations where liquidityCallback is not triggered!
    ///     from address must come at last position if there is more data. I.e. encode like:
    ///     abi.encode(otherVar1, otherVar2, FROM_ADDRESS). Note dynamic types used with abi.encode come at the end
    ///     so if dynamic types are needed, you must use abi.encodePacked to ensure the from address is at the end.
    /// -   this "from" address must match withdrawTo_ or borrowTo_ and must be == `msg.sender`
    /// -   `callbackData_` must in addition to the from address as described above include bytes32 SKIP_TRANSFERS
    ///     in the slot before (bytes 32 to 63)
    /// -   `msg.value` must be 0.
    /// -   Amounts must be either:
    ///     -  supply(+) == borrow(+), withdraw(-) == payback(-).
    ///     -  Liquidity must be on the winning side (deposit < borrow OR payback < withdraw).
    function _isInOutBalancedOut(
        int256 supplyAmount_,
        int256 borrowAmount_,
        address withdrawTo_,
        address borrowTo_,
        bytes memory callbackData_
    ) internal view returns (bool) {
        // callbackData_ being at least > 63 in length is already verified before calling this method.
        // 1. SKIP_TRANSFERS must be set in callbackData_ 32 bytes before last 32 bytes
        bytes32 skipTransfers_;
        assembly {
            skipTransfers_ := mload(
                add(
                    // add padding for length as present for dynamic arrays in memory
                    add(callbackData_, 32),
                    // Load from memory offset of 2 slots (64 bytes): 1 slot: bytes32 skipTransfers_ + 2 slot: address inFrom_
                    sub(mload(callbackData_), 64)
                )
            )
        }
        if (skipTransfers_ != SKIP_TRANSFERS) {
            return false;
        }
        // after here, if invalid, protocol intended to skip transfers, but something is invalid. so we don't just
        // NOT skip transfers, we actually revert because there must be something wrong on protocol side.
        // 2. amounts must be
        // a) equal: supply(+) == borrow(+), withdraw(-) == payback(-) OR
        // b) Liquidity must be on the winning side.
        // EITHER:
        // deposit and borrow, both positive. there must be more borrow than deposit.
        // so supply amount must be less, e.g. 80 deposit and 100 borrow.
        // OR:
        // withdraw and payback, both negative. there must be more withdraw than payback.
        // so supplyAmount must be less (e.g. -100 withdraw and -80 payback )
        if (
            msg.value != 0 || // no msg.value should be sent along when trying to skip transfers.
            supplyAmount_ == 0 ||
            borrowAmount_ == 0 || // it must be a 2 actions operation, not just e.g. only deposit or only payback.
            supplyAmount_ > borrowAmount_ // allow case a) and b): supplyAmount must be <=
        ) {
            revert FluidLiquidityError(ErrorTypes.UserModule__SkipTransfersInvalid);
        }
        // 3. inFrom_ must be in last 32 bytes and must match receiver
        address inFrom_;
        assembly {
            inFrom_ := mload(
                add(
                    // add padding for length as present for dynamic arrays in memory
                    add(callbackData_, 32),
                    // assembly expects address with leading zeros / left padded so need to use 32 as length here
                    sub(mload(callbackData_), 32)
                )
            )
        }
        if (supplyAmount_ > 0) {
            // deposit and borrow
            if (!(inFrom_ == borrowTo_ && inFrom_ == msg.sender)) {
                revert FluidLiquidityError(ErrorTypes.UserModule__SkipTransfersInvalid);
            }
        } else {
            // withdraw and payback
            if (!(inFrom_ == withdrawTo_ && inFrom_ == msg.sender)) {
                revert FluidLiquidityError(ErrorTypes.UserModule__SkipTransfersInvalid);
            }
        }
        return true;
    }
}
interface IZtakingPool {
    ///@notice Stake a specified amount of a particular supported token into the Ztaking Pool
    ///@param _token The token to deposit/stake in the Ztaking Pool
    ///@param _for The user to deposit/stake on behalf of
    ///@param _amount The amount of token to deposit/stake into the Ztaking Pool
    function depositFor(address _token, address _for, uint256 _amount) external;
    ///@notice Withdraw a specified amount of a particular supported token previously staked into the Ztaking Pool
    ///@param _token The token to withdraw from the Ztaking Pool
    ///@param _amount The amount of token to withdraw from the Ztaking Pool
    function withdraw(address _token, uint256 _amount) external;
}
/// @title  Fluid Liquidity UserModule
/// @notice Fluid Liquidity public facing endpoint logic contract that implements the `operate()` method.
///         operate can be used to deposit, withdraw, borrow & payback funds, given that they have the necessary
///         user config allowance. Interacting users must be allowed via the Fluid Liquidity AdminModule first.
///         Intended users are thus allow-listed protocols, e.g. the Lending protocol (fTokens), Vault protocol etc.
/// @dev For view methods / accessing data, use the "LiquidityResolver" periphery contract.
contract FluidLiquidityUserModule is CoreInternals {
    using BigMathMinified for uint256;
    address private constant WEETH = 0xCd5fE23C85820F7B72D0926FC9b05b43E359b7ee;
    address private constant WEETHS = 0x917ceE801a67f933F2e6b33fC0cD1ED2d5909D88;
    IZtakingPool private constant ZIRCUIT = IZtakingPool(0xF047ab4c75cebf0eB9ed34Ae2c186f3611aEAfa6);
    /// @dev struct for vars used in operate() that would otherwise cause a Stack too deep error
    struct OperateMemoryVars {
        bool skipTransfers;
        uint256 supplyExchangePrice;
        uint256 borrowExchangePrice;
        uint256 supplyRawInterest;
        uint256 supplyInterestFree;
        uint256 borrowRawInterest;
        uint256 borrowInterestFree;
        uint256 totalAmounts;
        uint256 exchangePricesAndConfig;
    }
    /// @notice inheritdoc IFluidLiquidity
    function operate(
        address token_,
        int256 supplyAmount_,
        int256 borrowAmount_,
        address withdrawTo_,
        address borrowTo_,
        bytes calldata callbackData_
    ) external payable reentrancy returns (uint256 memVar3_, uint256 memVar4_) {
        if (supplyAmount_ == 0 && borrowAmount_ == 0) {
            revert FluidLiquidityError(ErrorTypes.UserModule__OperateAmountsZero);
        }
        if (
            supplyAmount_ < type(int128).min ||
            supplyAmount_ > type(int128).max ||
            borrowAmount_ < type(int128).min ||
            borrowAmount_ > type(int128).max
        ) {
            revert FluidLiquidityError(ErrorTypes.UserModule__OperateAmountOutOfBounds);
        }
        if ((supplyAmount_ < 0 && withdrawTo_ == address(0)) || (borrowAmount_ > 0 && borrowTo_ == address(0))) {
            revert FluidLiquidityError(ErrorTypes.UserModule__ReceiverNotDefined);
        }
        if (token_ != NATIVE_TOKEN_ADDRESS && msg.value > 0) {
            // revert: there should not be msg.value if the token is not the native token
            revert FluidLiquidityError(ErrorTypes.UserModule__MsgValueForNonNativeToken);
        }
        OperateMemoryVars memory o_;
        // @dev temporary memory variables used as helper in between to avoid assigning new memory variables
        uint256 memVar_;
        // memVar2_ => operateAmountIn: deposit + payback
        uint256 memVar2_ = uint256((supplyAmount_ > 0 ? supplyAmount_ : int256(0))) +
            uint256((borrowAmount_ < 0 ? -borrowAmount_ : int256(0)));
        // check if token transfers can be skipped. see `_isInOutBalancedOut` for details.
        if (
            callbackData_.length > 63 &&
            _isInOutBalancedOut(supplyAmount_, borrowAmount_, withdrawTo_, borrowTo_, callbackData_)
        ) {
            memVar2_ = 0; // set to 0 to skip transfers IN
            o_.skipTransfers = true; // set flag to true to skip transfers OUT
        }
        if (token_ == NATIVE_TOKEN_ADDRESS) {
            unchecked {
                // check supply and payback amount is covered by available sent msg.value and
                // protection that msg.value is not unintentionally way more than actually used in operate()
                if (
                    memVar2_ > msg.value ||
                    msg.value > (memVar2_ * (FOUR_DECIMALS + MAX_INPUT_AMOUNT_EXCESS)) / FOUR_DECIMALS
                ) {
                    revert FluidLiquidityError(ErrorTypes.UserModule__TransferAmountOutOfBounds);
                }
            }
            memVar2_ = 0; // set to 0 to skip transfers IN more gas efficient. No need for native token.
        }
        // if supply or payback or both -> transfer token amount from sender to here.
        // for native token this is already covered by msg.value checks in operate(). memVar2_ is set to 0
        // for same amounts in same operate(): supply(+) == borrow(+), withdraw(-) == payback(-). memVar2_ is set to 0
        if (memVar2_ > 0) {
            // memVar_ => initial token balance of this contract
            memVar_ = IERC20(token_).balanceOf(address(this));
            // trigger protocol to send token amount and pass callback data
            IProtocol(msg.sender).liquidityCallback(token_, memVar2_, callbackData_);
            // memVar_ => current token balance of this contract - initial balance
            memVar_ = IERC20(token_).balanceOf(address(this)) - memVar_;
            unchecked {
                if (
                    memVar_ < memVar2_ ||
                    memVar_ > (memVar2_ * (FOUR_DECIMALS + MAX_INPUT_AMOUNT_EXCESS)) / FOUR_DECIMALS
                ) {
                    // revert if protocol did not send enough to cover supply / payback
                    // or if protocol sent more than expected, with 1% tolerance for any potential rounding issues (and for DEX revenue cut)
                    revert FluidLiquidityError(ErrorTypes.UserModule__TransferAmountOutOfBounds);
                }
            }
            // ---------- temporary code start -----------------------
            // temporary addition for weETH & weETHs: if token is weETH or weETHs -> deposit to Zircuit
            if (token_ == WEETH) {
                if (IERC20(WEETH).allowance(address(this), address(ZIRCUIT)) > 0) {
                    ZIRCUIT.depositFor(WEETH, address(this), memVar_);
                }
            } else if (token_ == WEETHS) {
                if ((IERC20(WEETHS).allowance(address(this), address(ZIRCUIT)) > 0)) {
                    ZIRCUIT.depositFor(WEETHS, address(this), memVar_);
                }
            }
            // temporary code also includes: WEETH, WEETHS & ZIRCUIT constant, IZtakingPool interface
            // ---------- temporary code end -----------------------
        }
        o_.exchangePricesAndConfig = _exchangePricesAndConfig[token_];
        // calculate updated exchange prices
        (o_.supplyExchangePrice, o_.borrowExchangePrice) = LiquidityCalcs.calcExchangePrices(
            o_.exchangePricesAndConfig
        );
        // Extract total supply / borrow amounts for the token
        o_.totalAmounts = _totalAmounts[token_];
        memVar_ = o_.totalAmounts & X64;
        o_.supplyRawInterest = (memVar_ >> DEFAULT_EXPONENT_SIZE) << (memVar_ & DEFAULT_EXPONENT_MASK);
        memVar_ = (o_.totalAmounts >> LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_SUPPLY_INTEREST_FREE) & X64;
        o_.supplyInterestFree = (memVar_ >> DEFAULT_EXPONENT_SIZE) << (memVar_ & DEFAULT_EXPONENT_MASK);
        memVar_ = (o_.totalAmounts >> LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_BORROW_WITH_INTEREST) & X64;
        o_.borrowRawInterest = (memVar_ >> DEFAULT_EXPONENT_SIZE) << (memVar_ & DEFAULT_EXPONENT_MASK);
        // no & mask needed for borrow interest free as it occupies the last bits in the storage slot
        memVar_ = (o_.totalAmounts >> LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_BORROW_INTEREST_FREE);
        o_.borrowInterestFree = (memVar_ >> DEFAULT_EXPONENT_SIZE) << (memVar_ & DEFAULT_EXPONENT_MASK);
        if (supplyAmount_ != 0) {
            // execute supply or withdraw and update total amounts
            {
                uint256 totalAmountsBefore_ = o_.totalAmounts;
                (int256 newSupplyInterestRaw_, int256 newSupplyInterestFree_) = _supplyOrWithdraw(
                    token_,
                    supplyAmount_,
                    o_.supplyExchangePrice
                );
                // update total amounts. this is done here so that values are only written to storage once
                // if a borrow / payback also happens in the same `operate()` call
                if (newSupplyInterestFree_ == 0) {
                    // Note newSupplyInterestFree_ can ONLY be 0 if mode is with interest,
                    // easy to check as that variable is NOT the result of a dvision etc.
                    // supply or withdraw with interest -> raw amount
                    if (newSupplyInterestRaw_ > 0) {
                        o_.supplyRawInterest += uint256(newSupplyInterestRaw_);
                    } else {
                        unchecked {
                            o_.supplyRawInterest = o_.supplyRawInterest > uint256(-newSupplyInterestRaw_)
                                ? o_.supplyRawInterest - uint256(-newSupplyInterestRaw_)
                                : 0; // withdraw amount is > total supply -> withdraw total supply down to 0
                            // Note no risk here as if the user withdraws more than supplied it would revert already
                            // earlier. Total amounts can end up < sum of user amounts because of rounding
                        }
                    }
                    // Note check for revert {UserModule}__ValueOverflow__TOTAL_SUPPLY is further down when we anyway
                    // calculate the normal amount from raw
                    // Converting the updated total amount into big number for storage
                    memVar_ = o_.supplyRawInterest.toBigNumber(
                        DEFAULT_COEFFICIENT_SIZE,
                        DEFAULT_EXPONENT_SIZE,
                        BigMathMinified.ROUND_DOWN
                    );
                    // update total supply with interest at total amounts in storage (only update changed values)
                    o_.totalAmounts =
                        // mask to update bits 0-63
                        (o_.totalAmounts & 0xffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000) |
                        memVar_; // converted to BigNumber can not overflow
                } else {
                    // supply or withdraw interest free -> normal amount
                    if (newSupplyInterestFree_ > 0) {
                        o_.supplyInterestFree += uint256(newSupplyInterestFree_);
                    } else {
                        unchecked {
                            o_.supplyInterestFree = o_.supplyInterestFree > uint256(-newSupplyInterestFree_)
                                ? o_.supplyInterestFree - uint256(-newSupplyInterestFree_)
                                : 0; // withdraw amount is > total supply -> withdraw total supply down to 0
                            // Note no risk here as if the user withdraws more than supplied it would revert already
                            // earlier. Total amounts can end up < sum of user amounts because of rounding
                        }
                    }
                    if (o_.supplyInterestFree > MAX_TOKEN_AMOUNT_CAP) {
                        // only withdrawals allowed if total supply interest free reaches MAX_TOKEN_AMOUNT_CAP
                        revert FluidLiquidityError(ErrorTypes.UserModule__ValueOverflow__TOTAL_SUPPLY);
                    }
                    // Converting the updated total amount into big number for storage
                    memVar_ = o_.supplyInterestFree.toBigNumber(
                        DEFAULT_COEFFICIENT_SIZE,
                        DEFAULT_EXPONENT_SIZE,
                        BigMathMinified.ROUND_DOWN
                    );
                    // update total supply interest free at total amounts in storage (only update changed values)
                    o_.totalAmounts =
                        // mask to update bits 64-127
                        (o_.totalAmounts & 0xffffffffffffffffffffffffffffffff0000000000000000ffffffffffffffff) |
                        (memVar_ << LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_SUPPLY_INTEREST_FREE); // converted to BigNumber can not overflow
                }
                if (totalAmountsBefore_ == o_.totalAmounts) {
                    // make sure that operate amount is not so small that it wouldn't affect storage update. if a difference
                    // is present then rounding will be in the right direction to avoid any potential manipulation.
                    revert FluidLiquidityError(ErrorTypes.UserModule__OperateAmountInsufficient);
                }
            }
        }
        if (borrowAmount_ != 0) {
            // execute borrow or payback and update total amounts
            {
                uint256 totalAmountsBefore_ = o_.totalAmounts;
                (int256 newBorrowInterestRaw_, int256 newBorrowInterestFree_) = _borrowOrPayback(
                    token_,
                    borrowAmount_,
                    o_.borrowExchangePrice
                );
                // update total amounts. this is done here so that values are only written to storage once
                // if a supply / withdraw also happens in the same `operate()` call
                if (newBorrowInterestFree_ == 0) {
                    // Note newBorrowInterestFree_ can ONLY be 0 if mode is with interest,
                    // easy to check as that variable is NOT the result of a dvision etc.
                    // borrow or payback with interest -> raw amount
                    if (newBorrowInterestRaw_ > 0) {
                        o_.borrowRawInterest += uint256(newBorrowInterestRaw_);
                    } else {
                        unchecked {
                            o_.borrowRawInterest = o_.borrowRawInterest > uint256(-newBorrowInterestRaw_)
                                ? o_.borrowRawInterest - uint256(-newBorrowInterestRaw_)
                                : 0; // payback amount is > total borrow -> payback total borrow down to 0
                        }
                    }
                    // Note check for revert UserModule__ValueOverflow__TOTAL_BORROW is further down when we anyway
                    // calculate the normal amount from raw
                    // Converting the updated total amount into big number for storage
                    memVar_ = o_.borrowRawInterest.toBigNumber(
                        DEFAULT_COEFFICIENT_SIZE,
                        DEFAULT_EXPONENT_SIZE,
                        BigMathMinified.ROUND_UP
                    );
                    // update total borrow with interest at total amounts in storage (only update changed values)
                    o_.totalAmounts =
                        // mask to update bits 128-191
                        (o_.totalAmounts & 0xffffffffffffffff0000000000000000ffffffffffffffffffffffffffffffff) |
                        (memVar_ << LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_BORROW_WITH_INTEREST); // converted to BigNumber can not overflow
                } else {
                    // borrow or payback interest free -> normal amount
                    if (newBorrowInterestFree_ > 0) {
                        o_.borrowInterestFree += uint256(newBorrowInterestFree_);
                    } else {
                        unchecked {
                            o_.borrowInterestFree = o_.borrowInterestFree > uint256(-newBorrowInterestFree_)
                                ? o_.borrowInterestFree - uint256(-newBorrowInterestFree_)
                                : 0; // payback amount is > total borrow -> payback total borrow down to 0
                        }
                    }
                    if (o_.borrowInterestFree > MAX_TOKEN_AMOUNT_CAP) {
                        // only payback allowed if total borrow interest free reaches MAX_TOKEN_AMOUNT_CAP
                        revert FluidLiquidityError(ErrorTypes.UserModule__ValueOverflow__TOTAL_BORROW);
                    }
                    // Converting the updated total amount into big number for storage
                    memVar_ = o_.borrowInterestFree.toBigNumber(
                        DEFAULT_COEFFICIENT_SIZE,
                        DEFAULT_EXPONENT_SIZE,
                        BigMathMinified.ROUND_UP
                    );
                    // update total borrow interest free at total amounts in storage (only update changed values)
                    o_.totalAmounts =
                        // mask to update bits 192-255
                        (o_.totalAmounts & 0x0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffff) |
                        (memVar_ << LiquiditySlotsLink.BITS_TOTAL_AMOUNTS_BORROW_INTEREST_FREE); // converted to BigNumber can not overflow
                }
                if (totalAmountsBefore_ == o_.totalAmounts) {
                    // make sure that operate amount is not so small that it wouldn't affect storage update. if a difference
                    // is present then rounding will be in the right direction to avoid any potential manipulation.
                    revert FluidLiquidityError(ErrorTypes.UserModule__OperateAmountInsufficient);
                }
            }
        }
        // Updating total amounts on storage
        _totalAmounts[token_] = o_.totalAmounts;
        {
            // update exchange prices / utilization / ratios
            // exchangePricesAndConfig is only written to storage if either utilization, supplyRatio or borrowRatio
            // change is above the required storageUpdateThreshold config value or if the last write was > 1 day ago.
            // 1. calculate new supply ratio, borrow ratio & utilization.
            // 2. check if last storage write was > 1 day ago.
            // 3. If false -> check if utilization is above update threshold
            // 4. If false -> check if supply ratio is above update threshold
            // 5. If false -> check if borrow ratio is above update threshold
            // 6. If any true, then update on storage
            // ########## calculating supply ratio ##########
            // supplyWithInterest in normal amount
            memVar3_ = ((o_.supplyRawInterest * o_.supplyExchangePrice) / EXCHANGE_PRICES_PRECISION);
            if (memVar3_ > MAX_TOKEN_AMOUNT_CAP && supplyAmount_ > 0) {
                // only withdrawals allowed if total supply raw reaches MAX_TOKEN_AMOUNT_CAP
                revert FluidLiquidityError(ErrorTypes.UserModule__ValueOverflow__TOTAL_SUPPLY);
            }
            // memVar_ => total supply. set here so supplyWithInterest (memVar3_) is only calculated once. For utilization
            memVar_ = o_.supplyInterestFree + memVar3_;
            if (memVar3_ > o_.supplyInterestFree) {
                // memVar3_ is ratio with 1 bit as 0 as supply interest raw is bigger
                memVar3_ = ((o_.supplyInterestFree * FOUR_DECIMALS) / memVar3_) << 1;
                // because of checking to divide by bigger amount, ratio can never be > 100%
            } else if (memVar3_ < o_.supplyInterestFree) {
                // memVar3_ is ratio with 1 bit as 1 as supply interest free is bigger
                memVar3_ = (((memVar3_ * FOUR_DECIMALS) / o_.supplyInterestFree) << 1) | 1;
                // because of checking to divide by bigger amount, ratio can never be > 100%
            } else if (memVar_ > 0) {
                // supplies match exactly (memVar3_  == o_.supplyInterestFree) and total supplies are not 0
                // -> set ratio to 1 (with first bit set to 0, doesn't matter)
                memVar3_ = FOUR_DECIMALS << 1;
            } // else if total supply = 0, memVar3_ (supplyRatio) is already 0.
            // ########## calculating borrow ratio ##########
            // borrowWithInterest in normal amount
            memVar4_ = ((o_.borrowRawInterest * o_.borrowExchangePrice) / EXCHANGE_PRICES_PRECISION);
            if (memVar4_ > MAX_TOKEN_AMOUNT_CAP && borrowAmount_ > 0) {
                // only payback allowed if total borrow raw reaches MAX_TOKEN_AMOUNT_CAP
                revert FluidLiquidityError(ErrorTypes.UserModule__ValueOverflow__TOTAL_BORROW);
            }
            // memVar2_ => total borrow. set here so borrowWithInterest (memVar4_) is only calculated once. For utilization
            memVar2_ = o_.borrowInterestFree + memVar4_;
            if (memVar4_ > o_.borrowInterestFree) {
                // memVar4_ is ratio with 1 bit as 0 as borrow interest raw is bigger
                memVar4_ = ((o_.borrowInterestFree * FOUR_DECIMALS) / memVar4_) << 1;
                // because of checking to divide by bigger amount, ratio can never be > 100%
            } else if (memVar4_ < o_.borrowInterestFree) {
                // memVar4_ is ratio with 1 bit as 1 as borrow interest free is bigger
                memVar4_ = (((memVar4_ * FOUR_DECIMALS) / o_.borrowInterestFree) << 1) | 1;
                // because of checking to divide by bigger amount, ratio can never be > 100%
            } else if (memVar2_ > 0) {
                // borrows match exactly (memVar4_  == o_.borrowInterestFree) and total borrows are not 0
                // -> set ratio to 1 (with first bit set to 0, doesn't matter)
                memVar4_ = FOUR_DECIMALS << 1;
            } // else if total borrow = 0, memVar4_ (borrowRatio) is already 0.
            // calculate utilization. If there is no supply, utilization must be 0 (avoid division by 0)
            uint256 utilization_;
            if (memVar_ > 0) {
                utilization_ = ((memVar2_ * FOUR_DECIMALS) / memVar_);
                // for borrow operations, ensure max utilization is not reached
                if (borrowAmount_ > 0) {
                    // memVar_ => max utilization
                    // if any max utilization other than 100% is set, the flag usesConfigs2 in
                    // exchangePricesAndConfig is 1. (optimized to avoid SLOAD if not needed).
                    memVar_ = (o_.exchangePricesAndConfig >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_USES_CONFIGS2) &
                        1 ==
                        1
                        ? (_configs2[token_] & X14) // read configured max utilization
                        : FOUR_DECIMALS; // default max utilization = 100%
                    if (utilization_ > memVar_) {
                        revert FluidLiquidityError(ErrorTypes.UserModule__MaxUtilizationReached);
                    }
                }
            }
            // check if time difference is big enough (> 1 day)
            unchecked {
                if (
                    block.timestamp >
                    // extract last update timestamp + 1 day
                    (((o_.exchangePricesAndConfig >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_LAST_TIMESTAMP) & X33) +
                        FORCE_STORAGE_WRITE_AFTER_TIME)
                ) {
                    memVar_ = 1; // set write to storage flag
                } else {
                    memVar_ = 0;
                }
            }
            if (memVar_ == 0) {
                // time difference is not big enough to cause storage write -> check utilization
                // memVar_ => extract last utilization
                memVar_ = (o_.exchangePricesAndConfig >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_UTILIZATION) & X14;
                // memVar2_ => storage update threshold in percent
                memVar2_ =
                    (o_.exchangePricesAndConfig >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_UPDATE_THRESHOLD) &
                    X14;
                unchecked {
                    // set memVar_ to 1 if current utilization to previous utilization difference is > update storage threshold
                    memVar_ = (utilization_ > memVar_ ? utilization_ - memVar_ : memVar_ - utilization_) > memVar2_
                        ? 1
                        : 0;
                    if (memVar_ == 0) {
                        // utilization & time difference is not big enough -> check supplyRatio difference
                        // memVar_ => extract last supplyRatio
                        memVar_ =
                            (o_.exchangePricesAndConfig >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_SUPPLY_RATIO) &
                            X15;
                        // set memVar_ to 1 if current supplyRatio to previous supplyRatio difference is > update storage threshold
                        if ((memVar_ & 1) == (memVar3_ & 1)) {
                            memVar_ = memVar_ >> 1;
                            memVar_ = (
                                (memVar3_ >> 1) > memVar_ ? (memVar3_ >> 1) - memVar_ : memVar_ - (memVar3_ >> 1)
                            ) > memVar2_
                                ? 1
                                : 0; // memVar3_ = supplyRatio, memVar_ = previous supplyRatio, memVar2_ = update storage threshold
                        } else {
                            // if inverse bit is changing then always update on storage
                            memVar_ = 1;
                        }
                        if (memVar_ == 0) {
                            // utilization, time, and supplyRatio difference is not big enough -> check borrowRatio difference
                            // memVar_ => extract last borrowRatio
                            memVar_ =
                                (o_.exchangePricesAndConfig >> LiquiditySlotsLink.BITS_EXCHANGE_PRICES_BORROW_RATIO) &
                                X15;
                            // set memVar_ to 1 if current borrowRatio to previous borrowRatio difference is > update storage threshold
                            if ((memVar_ & 1) == (memVar4_ & 1)) {
                                memVar_ = memVar_ >> 1;
                                memVar_ = (
                                    (memVar4_ >> 1) > memVar_ ? (memVar4_ >> 1) - memVar_ : memVar_ - (memVar4_ >> 1)
                                ) > memVar2_
                                    ? 1
                                    : 0; // memVar4_ = borrowRatio, memVar_ = previous borrowRatio, memVar2_ = update storage threshold
                            } else {
                                // if inverse bit is changing then always update on storage
                                memVar_ = 1;
                            }
                        }
                    }
                }
            }
            // memVar_ is 1 if either time diff was enough or if
            // utilization, supplyRatio or borrowRatio difference was > update storage threshold
            if (memVar_ == 1) {
                // memVar_ => calculate new borrow rate for utilization. includes value overflow check.
                memVar_ = LiquidityCalcs.calcBorrowRateFromUtilization(_rateData[token_], utilization_);
                // ensure values written to storage do not exceed the dedicated bit space in packed uint256 slots
                if (o_.supplyExchangePrice > X64 || o_.borrowExchangePrice > X64) {
                    revert FluidLiquidityError(ErrorTypes.UserModule__ValueOverflow__EXCHANGE_PRICES);
                }
                if (utilization_ > X14) {
                    revert FluidLiquidityError(ErrorTypes.UserModule__ValueOverflow__UTILIZATION);
                }
                o_.exchangePricesAndConfig =
                    (o_.exchangePricesAndConfig &
                        // mask to update bits: 0-15 (borrow rate), 30-43 (utilization), 58-248 (timestamp, exchange prices, ratios)
                        0xfe000000000000000000000000000000000000000000000003fff0003fff0000) |
                    memVar_ | // calcBorrowRateFromUtilization already includes an overflow check
                    (utilization_ << LiquiditySlotsLink.BITS_EXCHANGE_PRICES_UTILIZATION) |
                    (block.timestamp << LiquiditySlotsLink.BITS_EXCHANGE_PRICES_LAST_TIMESTAMP) |
                    (o_.supplyExchangePrice << LiquiditySlotsLink.BITS_EXCHANGE_PRICES_SUPPLY_EXCHANGE_PRICE) |
                    (o_.borrowExchangePrice << LiquiditySlotsLink.BITS_EXCHANGE_PRICES_BORROW_EXCHANGE_PRICE) |
                    // ratios can never be > 100%, no overflow check needed
                    (memVar3_ << LiquiditySlotsLink.BITS_EXCHANGE_PRICES_SUPPLY_RATIO) | // supplyRatio (memVar3_ holds that value)
                    (memVar4_ << LiquiditySlotsLink.BITS_EXCHANGE_PRICES_BORROW_RATIO); // borrowRatio (memVar4_ holds that value)
                // Updating on storage
                _exchangePricesAndConfig[token_] = o_.exchangePricesAndConfig;
            } else {
                // do not update in storage but update o_.exchangePricesAndConfig for updated exchange prices at
                // event emit of LogOperate
                o_.exchangePricesAndConfig =
                    (o_.exchangePricesAndConfig &
                        // mask to update bits: 91-218 (exchange prices)
                        0xfffffffffc00000000000000000000000000000007ffffffffffffffffffffff) |
                    (o_.supplyExchangePrice << LiquiditySlotsLink.BITS_EXCHANGE_PRICES_SUPPLY_EXCHANGE_PRICE) |
                    (o_.borrowExchangePrice << LiquiditySlotsLink.BITS_EXCHANGE_PRICES_BORROW_EXCHANGE_PRICE);
            }
        }
        // sending tokens to user at the end after updating everything
        // only transfer to user in case of withdraw or borrow.
        // do not transfer for same amounts in same operate(): supply(+) == borrow(+), withdraw(-) == payback(-). (DEX protocol use-case)
        if ((supplyAmount_ < 0 || borrowAmount_ > 0) && !o_.skipTransfers) {
            // sending tokens to user at the end after updating everything
            // set memVar2_ to borrowAmount (if borrow) or reset memVar2_ var to 0 because
            // it is used with > 0 check below to transfer withdraw / borrow / both
            memVar2_ = borrowAmount_ > 0 ? uint256(borrowAmount_) : 0;
            if (supplyAmount_ < 0) {
                unchecked {
                    memVar_ = uint256(-supplyAmount_);
                }
            } else {
                memVar_ = 0;
            }
            if (memVar_ > 0 && memVar2_ > 0 && withdrawTo_ == borrowTo_) {
                // if user is doing borrow & withdraw together and address for both is the same
                // then transfer tokens of borrow & withdraw together to save on gas
                if (token_ == NATIVE_TOKEN_ADDRESS) {
                    SafeTransfer.safeTransferNative(withdrawTo_, memVar_ + memVar2_);
                } else {
                    SafeTransfer.safeTransfer(token_, withdrawTo_, memVar_ + memVar2_);
                }
            } else {
                if (token_ == NATIVE_TOKEN_ADDRESS) {
                    // if withdraw
                    if (memVar_ > 0) {
                        SafeTransfer.safeTransferNative(withdrawTo_, memVar_);
                    }
                    // if borrow
                    if (memVar2_ > 0) {
                        SafeTransfer.safeTransferNative(borrowTo_, memVar2_);
                    }
                } else {
                    // if withdraw
                    if (memVar_ > 0) {
                        // ---------- temporary code start -----------------------
                        // temporary addition for weETH & weETHs: if token is weETH or weETHs -> withdraw from Zircuit
                        if (token_ == WEETH) {
                            if ((IERC20(WEETH).balanceOf(address(this)) < memVar_)) {
                                ZIRCUIT.withdraw(WEETH, memVar_);
                            }
                        } else if (token_ == WEETHS) {
                            if ((IERC20(WEETHS).balanceOf(address(this)) < memVar_)) {
                                ZIRCUIT.withdraw(WEETHS, memVar_);
                            }
                        }
                        // temporary code also includes: WEETH, WEETHS & ZIRCUIT constant, IZtakingPool interface
                        // ---------- temporary code end -----------------------
                        SafeTransfer.safeTransfer(token_, withdrawTo_, memVar_);
                    }
                    // if borrow
                    if (memVar2_ > 0) {
                        SafeTransfer.safeTransfer(token_, borrowTo_, memVar2_);
                    }
                }
            }
        }
        // emit Operate event
        emit LogOperate(
            msg.sender,
            token_,
            supplyAmount_,
            borrowAmount_,
            withdrawTo_,
            borrowTo_,
            o_.totalAmounts,
            o_.exchangePricesAndConfig
        );
        // set return values
        memVar3_ = o_.supplyExchangePrice;
        memVar4_ = o_.borrowExchangePrice;
    }
}
// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity >=0.8.0;
/// @notice Arithmetic library with operations for fixed-point numbers.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/FixedPointMathLib.sol)
/// @author Inspired by USM (https://github.com/usmfum/USM/blob/master/contracts/WadMath.sol)
library FixedPointMathLib {
    /*//////////////////////////////////////////////////////////////
                    SIMPLIFIED FIXED POINT OPERATIONS
    //////////////////////////////////////////////////////////////*/
    uint256 internal constant MAX_UINT256 = 2**256 - 1;
    uint256 internal constant WAD = 1e18; // The scalar of ETH and most ERC20s.
    function mulWadDown(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivDown(x, y, WAD); // Equivalent to (x * y) / WAD rounded down.
    }
    function mulWadUp(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivUp(x, y, WAD); // Equivalent to (x * y) / WAD rounded up.
    }
    function divWadDown(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivDown(x, WAD, y); // Equivalent to (x * WAD) / y rounded down.
    }
    function divWadUp(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivUp(x, WAD, y); // Equivalent to (x * WAD) / y rounded up.
    }
    /*//////////////////////////////////////////////////////////////
                    LOW LEVEL FIXED POINT OPERATIONS
    //////////////////////////////////////////////////////////////*/
    function mulDivDown(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Equivalent to require(denominator != 0 && (y == 0 || x <= type(uint256).max / y))
            if iszero(mul(denominator, iszero(mul(y, gt(x, div(MAX_UINT256, y)))))) {
                revert(0, 0)
            }
            // Divide x * y by the denominator.
            z := div(mul(x, y), denominator)
        }
    }
    function mulDivUp(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Equivalent to require(denominator != 0 && (y == 0 || x <= type(uint256).max / y))
            if iszero(mul(denominator, iszero(mul(y, gt(x, div(MAX_UINT256, y)))))) {
                revert(0, 0)
            }
            // If x * y modulo the denominator is strictly greater than 0,
            // 1 is added to round up the division of x * y by the denominator.
            z := add(gt(mod(mul(x, y), denominator), 0), div(mul(x, y), denominator))
        }
    }
    function rpow(
        uint256 x,
        uint256 n,
        uint256 scalar
    ) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            switch x
            case 0 {
                switch n
                case 0 {
                    // 0 ** 0 = 1
                    z := scalar
                }
                default {
                    // 0 ** n = 0
                    z := 0
                }
            }
            default {
                switch mod(n, 2)
                case 0 {
                    // If n is even, store scalar in z for now.
                    z := scalar
                }
                default {
                    // If n is odd, store x in z for now.
                    z := x
                }
                // Shifting right by 1 is like dividing by 2.
                let half := shr(1, scalar)
                for {
                    // Shift n right by 1 before looping to halve it.
                    n := shr(1, n)
                } n {
                    // Shift n right by 1 each iteration to halve it.
                    n := shr(1, n)
                } {
                    // Revert immediately if x ** 2 would overflow.
                    // Equivalent to iszero(eq(div(xx, x), x)) here.
                    if shr(128, x) {
                        revert(0, 0)
                    }
                    // Store x squared.
                    let xx := mul(x, x)
                    // Round to the nearest number.
                    let xxRound := add(xx, half)
                    // Revert if xx + half overflowed.
                    if lt(xxRound, xx) {
                        revert(0, 0)
                    }
                    // Set x to scaled xxRound.
                    x := div(xxRound, scalar)
                    // If n is even:
                    if mod(n, 2) {
                        // Compute z * x.
                        let zx := mul(z, x)
                        // If z * x overflowed:
                        if iszero(eq(div(zx, x), z)) {
                            // Revert if x is non-zero.
                            if iszero(iszero(x)) {
                                revert(0, 0)
                            }
                        }
                        // Round to the nearest number.
                        let zxRound := add(zx, half)
                        // Revert if zx + half overflowed.
                        if lt(zxRound, zx) {
                            revert(0, 0)
                        }
                        // Return properly scaled zxRound.
                        z := div(zxRound, scalar)
                    }
                }
            }
        }
    }
    /*//////////////////////////////////////////////////////////////
                        GENERAL NUMBER UTILITIES
    //////////////////////////////////////////////////////////////*/
    function sqrt(uint256 x) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            let y := x // We start y at x, which will help us make our initial estimate.
            z := 181 // The "correct" value is 1, but this saves a multiplication later.
            // This segment is to get a reasonable initial estimate for the Babylonian method. With a bad
            // start, the correct # of bits increases ~linearly each iteration instead of ~quadratically.
            // We check y >= 2^(k + 8) but shift right by k bits
            // each branch to ensure that if x >= 256, then y >= 256.
            if iszero(lt(y, 0x10000000000000000000000000000000000)) {
                y := shr(128, y)
                z := shl(64, z)
            }
            if iszero(lt(y, 0x1000000000000000000)) {
                y := shr(64, y)
                z := shl(32, z)
            }
            if iszero(lt(y, 0x10000000000)) {
                y := shr(32, y)
                z := shl(16, z)
            }
            if iszero(lt(y, 0x1000000)) {
                y := shr(16, y)
                z := shl(8, z)
            }
            // Goal was to get z*z*y within a small factor of x. More iterations could
            // get y in a tighter range. Currently, we will have y in [256, 256*2^16).
            // We ensured y >= 256 so that the relative difference between y and y+1 is small.
            // That's not possible if x < 256 but we can just verify those cases exhaustively.
            // Now, z*z*y <= x < z*z*(y+1), and y <= 2^(16+8), and either y >= 256, or x < 256.
            // Correctness can be checked exhaustively for x < 256, so we assume y >= 256.
            // Then z*sqrt(y) is within sqrt(257)/sqrt(256) of sqrt(x), or about 20bps.
            // For s in the range [1/256, 256], the estimate f(s) = (181/1024) * (s+1) is in the range
            // (1/2.84 * sqrt(s), 2.84 * sqrt(s)), with largest error when s = 1 and when s = 256 or 1/256.
            // Since y is in [256, 256*2^16), let a = y/65536, so that a is in [1/256, 256). Then we can estimate
            // sqrt(y) using sqrt(65536) * 181/1024 * (a + 1) = 181/4 * (y + 65536)/65536 = 181 * (y + 65536)/2^18.
            // There is no overflow risk here since y < 2^136 after the first branch above.
            z := shr(18, mul(z, add(y, 65536))) // A mul() is saved from starting z at 181.
            // Given the worst case multiplicative error of 2.84 above, 7 iterations should be enough.
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            z := shr(1, add(z, div(x, z)))
            // If x+1 is a perfect square, the Babylonian method cycles between
            // floor(sqrt(x)) and ceil(sqrt(x)). This statement ensures we return floor.
            // See: https://en.wikipedia.org/wiki/Integer_square_root#Using_only_integer_division
            // Since the ceil is rare, we save gas on the assignment and repeat division in the rare case.
            // If you don't care whether the floor or ceil square root is returned, you can remove this statement.
            z := sub(z, lt(div(x, z), z))
        }
    }
    function unsafeMod(uint256 x, uint256 y) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Mod x by y. Note this will return
            // 0 instead of reverting if y is zero.
            z := mod(x, y)
        }
    }
    function unsafeDiv(uint256 x, uint256 y) internal pure returns (uint256 r) {
        /// @solidity memory-safe-assembly
        assembly {
            // Divide x by y. Note this will return
            // 0 instead of reverting if y is zero.
            r := div(x, y)
        }
    }
    function unsafeDivUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
        /// @solidity memory-safe-assembly
        assembly {
            // Add 1 to x * y if x % y > 0. Note this will
            // return 0 instead of reverting if y is zero.
            z := add(gt(mod(x, y), 0), div(x, y))
        }
    }
}

/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { EIP712Domain } from "./EIP712Domain.sol"; // solhint-disable-line no-unused-import
import { Blacklistable } from "../v1/Blacklistable.sol"; // solhint-disable-line no-unused-import
import { FiatTokenV1 } from "../v1/FiatTokenV1.sol"; // solhint-disable-line no-unused-import
import { FiatTokenV2 } from "./FiatTokenV2.sol"; // solhint-disable-line no-unused-import
import { FiatTokenV2_1 } from "./FiatTokenV2_1.sol";
import { EIP712 } from "../util/EIP712.sol";
// solhint-disable func-name-mixedcase
/**
 * @title FiatToken V2.2
 * @notice ERC20 Token backed by fiat reserves, version 2.2
 */
contract FiatTokenV2_2 is FiatTokenV2_1 {
    /**
     * @notice Initialize v2.2
     * @param accountsToBlacklist   A list of accounts to migrate from the old blacklist
     * @param newSymbol             New token symbol
     * data structure to the new blacklist data structure.
     */
    function initializeV2_2(
        address[] calldata accountsToBlacklist,
        string calldata newSymbol
    ) external {
        // solhint-disable-next-line reason-string
        require(_initializedVersion == 2);
        // Update fiat token symbol
        symbol = newSymbol;
        // Add previously blacklisted accounts to the new blacklist data structure
        // and remove them from the old blacklist data structure.
        for (uint256 i = 0; i < accountsToBlacklist.length; i++) {
            require(
                _deprecatedBlacklisted[accountsToBlacklist[i]],
                "FiatTokenV2_2: Blacklisting previously unblacklisted account!"
            );
            _blacklist(accountsToBlacklist[i]);
            delete _deprecatedBlacklisted[accountsToBlacklist[i]];
        }
        _blacklist(address(this));
        delete _deprecatedBlacklisted[address(this)];
        _initializedVersion = 3;
    }
    /**
     * @dev Internal function to get the current chain id.
     * @return The current chain id.
     */
    function _chainId() internal virtual view returns (uint256) {
        uint256 chainId;
        assembly {
            chainId := chainid()
        }
        return chainId;
    }
    /**
     * @inheritdoc EIP712Domain
     */
    function _domainSeparator() internal override view returns (bytes32) {
        return EIP712.makeDomainSeparator(name, "2", _chainId());
    }
    /**
     * @notice Update allowance with a signed permit
     * @dev EOA wallet signatures should be packed in the order of r, s, v.
     * @param owner       Token owner's address (Authorizer)
     * @param spender     Spender's address
     * @param value       Amount of allowance
     * @param deadline    The time at which the signature expires (unix time), or max uint256 value to signal no expiration
     * @param signature   Signature bytes signed by an EOA wallet or a contract wallet
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        bytes memory signature
    ) external whenNotPaused {
        _permit(owner, spender, value, deadline, signature);
    }
    /**
     * @notice Execute a transfer with a signed authorization
     * @dev EOA wallet signatures should be packed in the order of r, s, v.
     * @param from          Payer's address (Authorizer)
     * @param to            Payee's address
     * @param value         Amount to be transferred
     * @param validAfter    The time after which this is valid (unix time)
     * @param validBefore   The time before which this is valid (unix time)
     * @param nonce         Unique nonce
     * @param signature     Signature bytes signed by an EOA wallet or a contract wallet
     */
    function transferWithAuthorization(
        address from,
        address to,
        uint256 value,
        uint256 validAfter,
        uint256 validBefore,
        bytes32 nonce,
        bytes memory signature
    ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
        _transferWithAuthorization(
            from,
            to,
            value,
            validAfter,
            validBefore,
            nonce,
            signature
        );
    }
    /**
     * @notice Receive a transfer with a signed authorization from the payer
     * @dev This has an additional check to ensure that the payee's address
     * matches the caller of this function to prevent front-running attacks.
     * EOA wallet signatures should be packed in the order of r, s, v.
     * @param from          Payer's address (Authorizer)
     * @param to            Payee's address
     * @param value         Amount to be transferred
     * @param validAfter    The time after which this is valid (unix time)
     * @param validBefore   The time before which this is valid (unix time)
     * @param nonce         Unique nonce
     * @param signature     Signature bytes signed by an EOA wallet or a contract wallet
     */
    function receiveWithAuthorization(
        address from,
        address to,
        uint256 value,
        uint256 validAfter,
        uint256 validBefore,
        bytes32 nonce,
        bytes memory signature
    ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
        _receiveWithAuthorization(
            from,
            to,
            value,
            validAfter,
            validBefore,
            nonce,
            signature
        );
    }
    /**
     * @notice Attempt to cancel an authorization
     * @dev Works only if the authorization is not yet used.
     * EOA wallet signatures should be packed in the order of r, s, v.
     * @param authorizer    Authorizer's address
     * @param nonce         Nonce of the authorization
     * @param signature     Signature bytes signed by an EOA wallet or a contract wallet
     */
    function cancelAuthorization(
        address authorizer,
        bytes32 nonce,
        bytes memory signature
    ) external whenNotPaused {
        _cancelAuthorization(authorizer, nonce, signature);
    }
    /**
     * @dev Helper method that sets the blacklist state of an account on balanceAndBlacklistStates.
     * If _shouldBlacklist is true, we apply a (1 << 255) bitmask with an OR operation on the
     * account's balanceAndBlacklistState. This flips the high bit for the account to 1,
     * indicating that the account is blacklisted.
     *
     * If _shouldBlacklist if false, we reset the account's balanceAndBlacklistStates to their
     * balances. This clears the high bit for the account, indicating that the account is unblacklisted.
     * @param _account         The address of the account.
     * @param _shouldBlacklist True if the account should be blacklisted, false if the account should be unblacklisted.
     */
    function _setBlacklistState(address _account, bool _shouldBlacklist)
        internal
        override
    {
        balanceAndBlacklistStates[_account] = _shouldBlacklist
            ? balanceAndBlacklistStates[_account] | (1 << 255)
            : _balanceOf(_account);
    }
    /**
     * @dev Helper method that sets the balance of an account on balanceAndBlacklistStates.
     * Since balances are stored in the last 255 bits of the balanceAndBlacklistStates value,
     * we need to ensure that the updated balance does not exceed (2^255 - 1).
     * Since blacklisted accounts' balances cannot be updated, the method will also
     * revert if the account is blacklisted
     * @param _account The address of the account.
     * @param _balance The new fiat token balance of the account (max: (2^255 - 1)).
     */
    function _setBalance(address _account, uint256 _balance) internal override {
        require(
            _balance <= ((1 << 255) - 1),
            "FiatTokenV2_2: Balance exceeds (2^255 - 1)"
        );
        require(
            !_isBlacklisted(_account),
            "FiatTokenV2_2: Account is blacklisted"
        );
        balanceAndBlacklistStates[_account] = _balance;
    }
    /**
     * @inheritdoc Blacklistable
     */
    function _isBlacklisted(address _account)
        internal
        override
        view
        returns (bool)
    {
        return balanceAndBlacklistStates[_account] >> 255 == 1;
    }
    /**
     * @dev Helper method to obtain the balance of an account. Since balances
     * are stored in the last 255 bits of the balanceAndBlacklistStates value,
     * we apply a ((1 << 255) - 1) bit bitmask with an AND operation on the
     * balanceAndBlacklistState to obtain the balance.
     * @param _account  The address of the account.
     * @return          The fiat token balance of the account.
     */
    function _balanceOf(address _account)
        internal
        override
        view
        returns (uint256)
    {
        return balanceAndBlacklistStates[_account] & ((1 << 255) - 1);
    }
    /**
     * @inheritdoc FiatTokenV1
     */
    function approve(address spender, uint256 value)
        external
        override
        whenNotPaused
        returns (bool)
    {
        _approve(msg.sender, spender, value);
        return true;
    }
    /**
     * @inheritdoc FiatTokenV2
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external override whenNotPaused {
        _permit(owner, spender, value, deadline, v, r, s);
    }
    /**
     * @inheritdoc FiatTokenV2
     */
    function increaseAllowance(address spender, uint256 increment)
        external
        override
        whenNotPaused
        returns (bool)
    {
        _increaseAllowance(msg.sender, spender, increment);
        return true;
    }
    /**
     * @inheritdoc FiatTokenV2
     */
    function decreaseAllowance(address spender, uint256 decrement)
        external
        override
        whenNotPaused
        returns (bool)
    {
        _decreaseAllowance(msg.sender, spender, decrement);
        return true;
    }
}
// SPDX-License-Identifier: MIT
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);
            }
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.6.0 <0.8.0;
import "./IERC20.sol";
import "../../math/SafeMath.sol";
import "../../utils/Address.sol";
/**
 * @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");
        }
    }
}
// SPDX-License-Identifier: MIT
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);
}
// SPDX-License-Identifier: MIT
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;
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { FiatTokenV2 } from "./FiatTokenV2.sol";
// solhint-disable func-name-mixedcase
/**
 * @title FiatToken V2.1
 * @notice ERC20 Token backed by fiat reserves, version 2.1
 */
contract FiatTokenV2_1 is FiatTokenV2 {
    /**
     * @notice Initialize v2.1
     * @param lostAndFound  The address to which the locked funds are sent
     */
    function initializeV2_1(address lostAndFound) external {
        // solhint-disable-next-line reason-string
        require(_initializedVersion == 1);
        uint256 lockedAmount = _balanceOf(address(this));
        if (lockedAmount > 0) {
            _transfer(address(this), lostAndFound, lockedAmount);
        }
        _blacklist(address(this));
        _initializedVersion = 2;
    }
    /**
     * @notice Version string for the EIP712 domain separator
     * @return Version string
     */
    function version() external pure returns (string memory) {
        return "2";
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { FiatTokenV1_1 } from "../v1.1/FiatTokenV1_1.sol";
import { EIP712 } from "../util/EIP712.sol";
import { EIP3009 } from "./EIP3009.sol";
import { EIP2612 } from "./EIP2612.sol";
/**
 * @title FiatToken V2
 * @notice ERC20 Token backed by fiat reserves, version 2
 */
contract FiatTokenV2 is FiatTokenV1_1, EIP3009, EIP2612 {
    uint8 internal _initializedVersion;
    /**
     * @notice Initialize v2
     * @param newName   New token name
     */
    function initializeV2(string calldata newName) external {
        // solhint-disable-next-line reason-string
        require(initialized && _initializedVersion == 0);
        name = newName;
        _DEPRECATED_CACHED_DOMAIN_SEPARATOR = EIP712.makeDomainSeparator(
            newName,
            "2"
        );
        _initializedVersion = 1;
    }
    /**
     * @notice Increase the allowance by a given increment
     * @param spender   Spender's address
     * @param increment Amount of increase in allowance
     * @return True if successful
     */
    function increaseAllowance(address spender, uint256 increment)
        external
        virtual
        whenNotPaused
        notBlacklisted(msg.sender)
        notBlacklisted(spender)
        returns (bool)
    {
        _increaseAllowance(msg.sender, spender, increment);
        return true;
    }
    /**
     * @notice Decrease the allowance by a given decrement
     * @param spender   Spender's address
     * @param decrement Amount of decrease in allowance
     * @return True if successful
     */
    function decreaseAllowance(address spender, uint256 decrement)
        external
        virtual
        whenNotPaused
        notBlacklisted(msg.sender)
        notBlacklisted(spender)
        returns (bool)
    {
        _decreaseAllowance(msg.sender, spender, decrement);
        return true;
    }
    /**
     * @notice Execute a transfer with a signed authorization
     * @param from          Payer's address (Authorizer)
     * @param to            Payee's address
     * @param value         Amount to be transferred
     * @param validAfter    The time after which this is valid (unix time)
     * @param validBefore   The time before which this is valid (unix time)
     * @param nonce         Unique nonce
     * @param v             v of the signature
     * @param r             r of the signature
     * @param s             s of the signature
     */
    function transferWithAuthorization(
        address from,
        address to,
        uint256 value,
        uint256 validAfter,
        uint256 validBefore,
        bytes32 nonce,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
        _transferWithAuthorization(
            from,
            to,
            value,
            validAfter,
            validBefore,
            nonce,
            v,
            r,
            s
        );
    }
    /**
     * @notice Receive a transfer with a signed authorization from the payer
     * @dev This has an additional check to ensure that the payee's address
     * matches the caller of this function to prevent front-running attacks.
     * @param from          Payer's address (Authorizer)
     * @param to            Payee's address
     * @param value         Amount to be transferred
     * @param validAfter    The time after which this is valid (unix time)
     * @param validBefore   The time before which this is valid (unix time)
     * @param nonce         Unique nonce
     * @param v             v of the signature
     * @param r             r of the signature
     * @param s             s of the signature
     */
    function receiveWithAuthorization(
        address from,
        address to,
        uint256 value,
        uint256 validAfter,
        uint256 validBefore,
        bytes32 nonce,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
        _receiveWithAuthorization(
            from,
            to,
            value,
            validAfter,
            validBefore,
            nonce,
            v,
            r,
            s
        );
    }
    /**
     * @notice Attempt to cancel an authorization
     * @dev Works only if the authorization is not yet used.
     * @param authorizer    Authorizer's address
     * @param nonce         Nonce of the authorization
     * @param v             v of the signature
     * @param r             r of the signature
     * @param s             s of the signature
     */
    function cancelAuthorization(
        address authorizer,
        bytes32 nonce,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external whenNotPaused {
        _cancelAuthorization(authorizer, nonce, v, r, s);
    }
    /**
     * @notice Update allowance with a signed permit
     * @param owner       Token owner's address (Authorizer)
     * @param spender     Spender's address
     * @param value       Amount of allowance
     * @param deadline    The time at which the signature expires (unix time), or max uint256 value to signal no expiration
     * @param v           v of the signature
     * @param r           r of the signature
     * @param s           s of the signature
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    )
        external
        virtual
        whenNotPaused
        notBlacklisted(owner)
        notBlacklisted(spender)
    {
        _permit(owner, spender, value, deadline, v, r, s);
    }
    /**
     * @dev Internal function to increase the allowance by a given increment
     * @param owner     Token owner's address
     * @param spender   Spender's address
     * @param increment Amount of increase
     */
    function _increaseAllowance(
        address owner,
        address spender,
        uint256 increment
    ) internal override {
        _approve(owner, spender, allowed[owner][spender].add(increment));
    }
    /**
     * @dev Internal function to decrease the allowance by a given decrement
     * @param owner     Token owner's address
     * @param spender   Spender's address
     * @param decrement Amount of decrease
     */
    function _decreaseAllowance(
        address owner,
        address spender,
        uint256 decrement
    ) internal override {
        _approve(
            owner,
            spender,
            allowed[owner][spender].sub(
                decrement,
                "ERC20: decreased allowance below zero"
            )
        );
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
// solhint-disable func-name-mixedcase
/**
 * @title EIP712 Domain
 */
contract EIP712Domain {
    // was originally DOMAIN_SEPARATOR
    // but that has been moved to a method so we can override it in V2_2+
    bytes32 internal _DEPRECATED_CACHED_DOMAIN_SEPARATOR;
    /**
     * @notice Get the EIP712 Domain Separator.
     * @return The bytes32 EIP712 domain separator.
     */
    function DOMAIN_SEPARATOR() external view returns (bytes32) {
        return _domainSeparator();
    }
    /**
     * @dev Internal method to get the EIP712 Domain Separator.
     * @return The bytes32 EIP712 domain separator.
     */
    function _domainSeparator() internal virtual view returns (bytes32) {
        return _DEPRECATED_CACHED_DOMAIN_SEPARATOR;
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { AbstractFiatTokenV2 } from "./AbstractFiatTokenV2.sol";
import { EIP712Domain } from "./EIP712Domain.sol";
import { SignatureChecker } from "../util/SignatureChecker.sol";
import { MessageHashUtils } from "../util/MessageHashUtils.sol";
/**
 * @title EIP-3009
 * @notice Provide internal implementation for gas-abstracted transfers
 * @dev Contracts that inherit from this must wrap these with publicly
 * accessible functions, optionally adding modifiers where necessary
 */
abstract contract EIP3009 is AbstractFiatTokenV2, EIP712Domain {
    // keccak256("TransferWithAuthorization(address from,address to,uint256 value,uint256 validAfter,uint256 validBefore,bytes32 nonce)")
    bytes32
        public constant TRANSFER_WITH_AUTHORIZATION_TYPEHASH = 0x7c7c6cdb67a18743f49ec6fa9b35f50d52ed05cbed4cc592e13b44501c1a2267;
    // keccak256("ReceiveWithAuthorization(address from,address to,uint256 value,uint256 validAfter,uint256 validBefore,bytes32 nonce)")
    bytes32
        public constant RECEIVE_WITH_AUTHORIZATION_TYPEHASH = 0xd099cc98ef71107a616c4f0f941f04c322d8e254fe26b3c6668db87aae413de8;
    // keccak256("CancelAuthorization(address authorizer,bytes32 nonce)")
    bytes32
        public constant CANCEL_AUTHORIZATION_TYPEHASH = 0x158b0a9edf7a828aad02f63cd515c68ef2f50ba807396f6d12842833a1597429;
    /**
     * @dev authorizer address => nonce => bool (true if nonce is used)
     */
    mapping(address => mapping(bytes32 => bool)) private _authorizationStates;
    event AuthorizationUsed(address indexed authorizer, bytes32 indexed nonce);
    event AuthorizationCanceled(
        address indexed authorizer,
        bytes32 indexed nonce
    );
    /**
     * @notice Returns the state of an authorization
     * @dev Nonces are randomly generated 32-byte data unique to the
     * authorizer's address
     * @param authorizer    Authorizer's address
     * @param nonce         Nonce of the authorization
     * @return True if the nonce is used
     */
    function authorizationState(address authorizer, bytes32 nonce)
        external
        view
        returns (bool)
    {
        return _authorizationStates[authorizer][nonce];
    }
    /**
     * @notice Execute a transfer with a signed authorization
     * @param from          Payer's address (Authorizer)
     * @param to            Payee's address
     * @param value         Amount to be transferred
     * @param validAfter    The time after which this is valid (unix time)
     * @param validBefore   The time before which this is valid (unix time)
     * @param nonce         Unique nonce
     * @param v             v of the signature
     * @param r             r of the signature
     * @param s             s of the signature
     */
    function _transferWithAuthorization(
        address from,
        address to,
        uint256 value,
        uint256 validAfter,
        uint256 validBefore,
        bytes32 nonce,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        _transferWithAuthorization(
            from,
            to,
            value,
            validAfter,
            validBefore,
            nonce,
            abi.encodePacked(r, s, v)
        );
    }
    /**
     * @notice Execute a transfer with a signed authorization
     * @dev EOA wallet signatures should be packed in the order of r, s, v.
     * @param from          Payer's address (Authorizer)
     * @param to            Payee's address
     * @param value         Amount to be transferred
     * @param validAfter    The time after which this is valid (unix time)
     * @param validBefore   The time before which this is valid (unix time)
     * @param nonce         Unique nonce
     * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
     */
    function _transferWithAuthorization(
        address from,
        address to,
        uint256 value,
        uint256 validAfter,
        uint256 validBefore,
        bytes32 nonce,
        bytes memory signature
    ) internal {
        _requireValidAuthorization(from, nonce, validAfter, validBefore);
        _requireValidSignature(
            from,
            keccak256(
                abi.encode(
                    TRANSFER_WITH_AUTHORIZATION_TYPEHASH,
                    from,
                    to,
                    value,
                    validAfter,
                    validBefore,
                    nonce
                )
            ),
            signature
        );
        _markAuthorizationAsUsed(from, nonce);
        _transfer(from, to, value);
    }
    /**
     * @notice Receive a transfer with a signed authorization from the payer
     * @dev This has an additional check to ensure that the payee's address
     * matches the caller of this function to prevent front-running attacks.
     * @param from          Payer's address (Authorizer)
     * @param to            Payee's address
     * @param value         Amount to be transferred
     * @param validAfter    The time after which this is valid (unix time)
     * @param validBefore   The time before which this is valid (unix time)
     * @param nonce         Unique nonce
     * @param v             v of the signature
     * @param r             r of the signature
     * @param s             s of the signature
     */
    function _receiveWithAuthorization(
        address from,
        address to,
        uint256 value,
        uint256 validAfter,
        uint256 validBefore,
        bytes32 nonce,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        _receiveWithAuthorization(
            from,
            to,
            value,
            validAfter,
            validBefore,
            nonce,
            abi.encodePacked(r, s, v)
        );
    }
    /**
     * @notice Receive a transfer with a signed authorization from the payer
     * @dev This has an additional check to ensure that the payee's address
     * matches the caller of this function to prevent front-running attacks.
     * EOA wallet signatures should be packed in the order of r, s, v.
     * @param from          Payer's address (Authorizer)
     * @param to            Payee's address
     * @param value         Amount to be transferred
     * @param validAfter    The time after which this is valid (unix time)
     * @param validBefore   The time before which this is valid (unix time)
     * @param nonce         Unique nonce
     * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
     */
    function _receiveWithAuthorization(
        address from,
        address to,
        uint256 value,
        uint256 validAfter,
        uint256 validBefore,
        bytes32 nonce,
        bytes memory signature
    ) internal {
        require(to == msg.sender, "FiatTokenV2: caller must be the payee");
        _requireValidAuthorization(from, nonce, validAfter, validBefore);
        _requireValidSignature(
            from,
            keccak256(
                abi.encode(
                    RECEIVE_WITH_AUTHORIZATION_TYPEHASH,
                    from,
                    to,
                    value,
                    validAfter,
                    validBefore,
                    nonce
                )
            ),
            signature
        );
        _markAuthorizationAsUsed(from, nonce);
        _transfer(from, to, value);
    }
    /**
     * @notice Attempt to cancel an authorization
     * @param authorizer    Authorizer's address
     * @param nonce         Nonce of the authorization
     * @param v             v of the signature
     * @param r             r of the signature
     * @param s             s of the signature
     */
    function _cancelAuthorization(
        address authorizer,
        bytes32 nonce,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        _cancelAuthorization(authorizer, nonce, abi.encodePacked(r, s, v));
    }
    /**
     * @notice Attempt to cancel an authorization
     * @dev EOA wallet signatures should be packed in the order of r, s, v.
     * @param authorizer    Authorizer's address
     * @param nonce         Nonce of the authorization
     * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
     */
    function _cancelAuthorization(
        address authorizer,
        bytes32 nonce,
        bytes memory signature
    ) internal {
        _requireUnusedAuthorization(authorizer, nonce);
        _requireValidSignature(
            authorizer,
            keccak256(
                abi.encode(CANCEL_AUTHORIZATION_TYPEHASH, authorizer, nonce)
            ),
            signature
        );
        _authorizationStates[authorizer][nonce] = true;
        emit AuthorizationCanceled(authorizer, nonce);
    }
    /**
     * @notice Validates that signature against input data struct
     * @param signer        Signer's address
     * @param dataHash      Hash of encoded data struct
     * @param signature     Signature byte array produced by an EOA wallet or a contract wallet
     */
    function _requireValidSignature(
        address signer,
        bytes32 dataHash,
        bytes memory signature
    ) private view {
        require(
            SignatureChecker.isValidSignatureNow(
                signer,
                MessageHashUtils.toTypedDataHash(_domainSeparator(), dataHash),
                signature
            ),
            "FiatTokenV2: invalid signature"
        );
    }
    /**
     * @notice Check that an authorization is unused
     * @param authorizer    Authorizer's address
     * @param nonce         Nonce of the authorization
     */
    function _requireUnusedAuthorization(address authorizer, bytes32 nonce)
        private
        view
    {
        require(
            !_authorizationStates[authorizer][nonce],
            "FiatTokenV2: authorization is used or canceled"
        );
    }
    /**
     * @notice Check that authorization is valid
     * @param authorizer    Authorizer's address
     * @param nonce         Nonce of the authorization
     * @param validAfter    The time after which this is valid (unix time)
     * @param validBefore   The time before which this is valid (unix time)
     */
    function _requireValidAuthorization(
        address authorizer,
        bytes32 nonce,
        uint256 validAfter,
        uint256 validBefore
    ) private view {
        require(
            now > validAfter,
            "FiatTokenV2: authorization is not yet valid"
        );
        require(now < validBefore, "FiatTokenV2: authorization is expired");
        _requireUnusedAuthorization(authorizer, nonce);
    }
    /**
     * @notice Mark an authorization as used
     * @param authorizer    Authorizer's address
     * @param nonce         Nonce of the authorization
     */
    function _markAuthorizationAsUsed(address authorizer, bytes32 nonce)
        private
    {
        _authorizationStates[authorizer][nonce] = true;
        emit AuthorizationUsed(authorizer, nonce);
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { AbstractFiatTokenV2 } from "./AbstractFiatTokenV2.sol";
import { EIP712Domain } from "./EIP712Domain.sol";
import { MessageHashUtils } from "../util/MessageHashUtils.sol";
import { SignatureChecker } from "../util/SignatureChecker.sol";
/**
 * @title EIP-2612
 * @notice Provide internal implementation for gas-abstracted approvals
 */
abstract contract EIP2612 is AbstractFiatTokenV2, EIP712Domain {
    // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)")
    bytes32
        public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
    mapping(address => uint256) private _permitNonces;
    /**
     * @notice Nonces for permit
     * @param owner Token owner's address (Authorizer)
     * @return Next nonce
     */
    function nonces(address owner) external view returns (uint256) {
        return _permitNonces[owner];
    }
    /**
     * @notice Verify a signed approval permit and execute if valid
     * @param owner     Token owner's address (Authorizer)
     * @param spender   Spender's address
     * @param value     Amount of allowance
     * @param deadline  The time at which the signature expires (unix time), or max uint256 value to signal no expiration
     * @param v         v of the signature
     * @param r         r of the signature
     * @param s         s of the signature
     */
    function _permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        _permit(owner, spender, value, deadline, abi.encodePacked(r, s, v));
    }
    /**
     * @notice Verify a signed approval permit and execute if valid
     * @dev EOA wallet signatures should be packed in the order of r, s, v.
     * @param owner      Token owner's address (Authorizer)
     * @param spender    Spender's address
     * @param value      Amount of allowance
     * @param deadline   The time at which the signature expires (unix time), or max uint256 value to signal no expiration
     * @param signature  Signature byte array signed by an EOA wallet or a contract wallet
     */
    function _permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        bytes memory signature
    ) internal {
        require(
            deadline == type(uint256).max || deadline >= now,
            "FiatTokenV2: permit is expired"
        );
        bytes32 typedDataHash = MessageHashUtils.toTypedDataHash(
            _domainSeparator(),
            keccak256(
                abi.encode(
                    PERMIT_TYPEHASH,
                    owner,
                    spender,
                    value,
                    _permitNonces[owner]++,
                    deadline
                )
            )
        );
        require(
            SignatureChecker.isValidSignatureNow(
                owner,
                typedDataHash,
                signature
            ),
            "EIP2612: invalid signature"
        );
        _approve(owner, spender, value);
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { AbstractFiatTokenV1 } from "../v1/AbstractFiatTokenV1.sol";
abstract contract AbstractFiatTokenV2 is AbstractFiatTokenV1 {
    function _increaseAllowance(
        address owner,
        address spender,
        uint256 increment
    ) internal virtual;
    function _decreaseAllowance(
        address owner,
        address spender,
        uint256 decrement
    ) internal virtual;
}
/**
 * SPDX-License-Identifier: MIT
 *
 * Copyright (c) 2016 Smart Contract Solutions, Inc.
 * Copyright (c) 2018-2020 CENTRE SECZ
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to deal
 * in the Software without restriction, including without limitation the rights
 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in
 * copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
 * SOFTWARE.
 */
pragma solidity 0.6.12;
import { Ownable } from "./Ownable.sol";
/**
 * @notice Base contract which allows children to implement an emergency stop
 * mechanism
 * @dev Forked from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/feb665136c0dae9912e08397c1a21c4af3651ef3/contracts/lifecycle/Pausable.sol
 * Modifications:
 * 1. Added pauser role, switched pause/unpause to be onlyPauser (6/14/2018)
 * 2. Removed whenNotPause/whenPaused from pause/unpause (6/14/2018)
 * 3. Removed whenPaused (6/14/2018)
 * 4. Switches ownable library to use ZeppelinOS (7/12/18)
 * 5. Remove constructor (7/13/18)
 * 6. Reformat, conform to Solidity 0.6 syntax and add error messages (5/13/20)
 * 7. Make public functions external (5/27/20)
 */
contract Pausable is Ownable {
    event Pause();
    event Unpause();
    event PauserChanged(address indexed newAddress);
    address public pauser;
    bool public paused = false;
    /**
     * @dev Modifier to make a function callable only when the contract is not paused.
     */
    modifier whenNotPaused() {
        require(!paused, "Pausable: paused");
        _;
    }
    /**
     * @dev throws if called by any account other than the pauser
     */
    modifier onlyPauser() {
        require(msg.sender == pauser, "Pausable: caller is not the pauser");
        _;
    }
    /**
     * @dev called by the owner to pause, triggers stopped state
     */
    function pause() external onlyPauser {
        paused = true;
        emit Pause();
    }
    /**
     * @dev called by the owner to unpause, returns to normal state
     */
    function unpause() external onlyPauser {
        paused = false;
        emit Unpause();
    }
    /**
     * @notice Updates the pauser address.
     * @param _newPauser The address of the new pauser.
     */
    function updatePauser(address _newPauser) external onlyOwner {
        require(
            _newPauser != address(0),
            "Pausable: new pauser is the zero address"
        );
        pauser = _newPauser;
        emit PauserChanged(pauser);
    }
}
/**
 * SPDX-License-Identifier: MIT
 *
 * Copyright (c) 2018 zOS Global Limited.
 * Copyright (c) 2018-2020 CENTRE SECZ
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to deal
 * in the Software without restriction, including without limitation the rights
 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in
 * copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
 * SOFTWARE.
 */
pragma solidity 0.6.12;
/**
 * @notice The Ownable contract has an owner address, and provides basic
 * authorization control functions
 * @dev Forked from https://github.com/OpenZeppelin/openzeppelin-labs/blob/3887ab77b8adafba4a26ace002f3a684c1a3388b/upgradeability_ownership/contracts/ownership/Ownable.sol
 * Modifications:
 * 1. Consolidate OwnableStorage into this contract (7/13/18)
 * 2. Reformat, conform to Solidity 0.6 syntax, and add error messages (5/13/20)
 * 3. Make public functions external (5/27/20)
 */
contract Ownable {
    // Owner of the contract
    address private _owner;
    /**
     * @dev Event to show ownership has been transferred
     * @param previousOwner representing the address of the previous owner
     * @param newOwner representing the address of the new owner
     */
    event OwnershipTransferred(address previousOwner, address newOwner);
    /**
     * @dev The constructor sets the original owner of the contract to the sender account.
     */
    constructor() public {
        setOwner(msg.sender);
    }
    /**
     * @dev Tells the address of the owner
     * @return the address of the owner
     */
    function owner() external view returns (address) {
        return _owner;
    }
    /**
     * @dev Sets a new owner address
     */
    function setOwner(address newOwner) internal {
        _owner = newOwner;
    }
    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(msg.sender == _owner, "Ownable: caller is not the owner");
        _;
    }
    /**
     * @dev Allows the current owner to transfer control of the contract to a newOwner.
     * @param newOwner The address to transfer ownership to.
     */
    function transferOwnership(address newOwner) external onlyOwner {
        require(
            newOwner != address(0),
            "Ownable: new owner is the zero address"
        );
        emit OwnershipTransferred(_owner, newOwner);
        setOwner(newOwner);
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { SafeMath } from "@openzeppelin/contracts/math/SafeMath.sol";
import { AbstractFiatTokenV1 } from "./AbstractFiatTokenV1.sol";
import { Ownable } from "./Ownable.sol";
import { Pausable } from "./Pausable.sol";
import { Blacklistable } from "./Blacklistable.sol";
/**
 * @title FiatToken
 * @dev ERC20 Token backed by fiat reserves
 */
contract FiatTokenV1 is AbstractFiatTokenV1, Ownable, Pausable, Blacklistable {
    using SafeMath for uint256;
    string public name;
    string public symbol;
    uint8 public decimals;
    string public currency;
    address public masterMinter;
    bool internal initialized;
    /// @dev A mapping that stores the balance and blacklist states for a given address.
    /// The first bit defines whether the address is blacklisted (1 if blacklisted, 0 otherwise).
    /// The last 255 bits define the balance for the address.
    mapping(address => uint256) internal balanceAndBlacklistStates;
    mapping(address => mapping(address => uint256)) internal allowed;
    uint256 internal totalSupply_ = 0;
    mapping(address => bool) internal minters;
    mapping(address => uint256) internal minterAllowed;
    event Mint(address indexed minter, address indexed to, uint256 amount);
    event Burn(address indexed burner, uint256 amount);
    event MinterConfigured(address indexed minter, uint256 minterAllowedAmount);
    event MinterRemoved(address indexed oldMinter);
    event MasterMinterChanged(address indexed newMasterMinter);
    /**
     * @notice Initializes the fiat token contract.
     * @param tokenName       The name of the fiat token.
     * @param tokenSymbol     The symbol of the fiat token.
     * @param tokenCurrency   The fiat currency that the token represents.
     * @param tokenDecimals   The number of decimals that the token uses.
     * @param newMasterMinter The masterMinter address for the fiat token.
     * @param newPauser       The pauser address for the fiat token.
     * @param newBlacklister  The blacklister address for the fiat token.
     * @param newOwner        The owner of the fiat token.
     */
    function initialize(
        string memory tokenName,
        string memory tokenSymbol,
        string memory tokenCurrency,
        uint8 tokenDecimals,
        address newMasterMinter,
        address newPauser,
        address newBlacklister,
        address newOwner
    ) public {
        require(!initialized, "FiatToken: contract is already initialized");
        require(
            newMasterMinter != address(0),
            "FiatToken: new masterMinter is the zero address"
        );
        require(
            newPauser != address(0),
            "FiatToken: new pauser is the zero address"
        );
        require(
            newBlacklister != address(0),
            "FiatToken: new blacklister is the zero address"
        );
        require(
            newOwner != address(0),
            "FiatToken: new owner is the zero address"
        );
        name = tokenName;
        symbol = tokenSymbol;
        currency = tokenCurrency;
        decimals = tokenDecimals;
        masterMinter = newMasterMinter;
        pauser = newPauser;
        blacklister = newBlacklister;
        setOwner(newOwner);
        initialized = true;
    }
    /**
     * @dev Throws if called by any account other than a minter.
     */
    modifier onlyMinters() {
        require(minters[msg.sender], "FiatToken: caller is not a minter");
        _;
    }
    /**
     * @notice Mints fiat tokens to an address.
     * @param _to The address that will receive the minted tokens.
     * @param _amount The amount of tokens to mint. Must be less than or equal
     * to the minterAllowance of the caller.
     * @return True if the operation was successful.
     */
    function mint(address _to, uint256 _amount)
        external
        whenNotPaused
        onlyMinters
        notBlacklisted(msg.sender)
        notBlacklisted(_to)
        returns (bool)
    {
        require(_to != address(0), "FiatToken: mint to the zero address");
        require(_amount > 0, "FiatToken: mint amount not greater than 0");
        uint256 mintingAllowedAmount = minterAllowed[msg.sender];
        require(
            _amount <= mintingAllowedAmount,
            "FiatToken: mint amount exceeds minterAllowance"
        );
        totalSupply_ = totalSupply_.add(_amount);
        _setBalance(_to, _balanceOf(_to).add(_amount));
        minterAllowed[msg.sender] = mintingAllowedAmount.sub(_amount);
        emit Mint(msg.sender, _to, _amount);
        emit Transfer(address(0), _to, _amount);
        return true;
    }
    /**
     * @dev Throws if called by any account other than the masterMinter
     */
    modifier onlyMasterMinter() {
        require(
            msg.sender == masterMinter,
            "FiatToken: caller is not the masterMinter"
        );
        _;
    }
    /**
     * @notice Gets the minter allowance for an account.
     * @param minter The address to check.
     * @return The remaining minter allowance for the account.
     */
    function minterAllowance(address minter) external view returns (uint256) {
        return minterAllowed[minter];
    }
    /**
     * @notice Checks if an account is a minter.
     * @param account The address to check.
     * @return True if the account is a minter, false if the account is not a minter.
     */
    function isMinter(address account) external view returns (bool) {
        return minters[account];
    }
    /**
     * @notice Gets the remaining amount of fiat tokens a spender is allowed to transfer on
     * behalf of the token owner.
     * @param owner   The token owner's address.
     * @param spender The spender's address.
     * @return The remaining allowance.
     */
    function allowance(address owner, address spender)
        external
        override
        view
        returns (uint256)
    {
        return allowed[owner][spender];
    }
    /**
     * @notice Gets the totalSupply of the fiat token.
     * @return The totalSupply of the fiat token.
     */
    function totalSupply() external override view returns (uint256) {
        return totalSupply_;
    }
    /**
     * @notice Gets the fiat token balance of an account.
     * @param account  The address to check.
     * @return balance The fiat token balance of the account.
     */
    function balanceOf(address account)
        external
        override
        view
        returns (uint256)
    {
        return _balanceOf(account);
    }
    /**
     * @notice Sets a fiat token allowance for a spender to spend on behalf of the caller.
     * @param spender The spender's address.
     * @param value   The allowance amount.
     * @return True if the operation was successful.
     */
    function approve(address spender, uint256 value)
        external
        virtual
        override
        whenNotPaused
        notBlacklisted(msg.sender)
        notBlacklisted(spender)
        returns (bool)
    {
        _approve(msg.sender, spender, value);
        return true;
    }
    /**
     * @dev Internal function to set allowance.
     * @param owner     Token owner's address.
     * @param spender   Spender's address.
     * @param value     Allowance amount.
     */
    function _approve(
        address owner,
        address spender,
        uint256 value
    ) internal override {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");
        allowed[owner][spender] = value;
        emit Approval(owner, spender, value);
    }
    /**
     * @notice Transfers tokens from an address to another by spending the caller's allowance.
     * @dev The caller must have some fiat token allowance on the payer's tokens.
     * @param from  Payer's address.
     * @param to    Payee's address.
     * @param value Transfer amount.
     * @return True if the operation was successful.
     */
    function transferFrom(
        address from,
        address to,
        uint256 value
    )
        external
        override
        whenNotPaused
        notBlacklisted(msg.sender)
        notBlacklisted(from)
        notBlacklisted(to)
        returns (bool)
    {
        require(
            value <= allowed[from][msg.sender],
            "ERC20: transfer amount exceeds allowance"
        );
        _transfer(from, to, value);
        allowed[from][msg.sender] = allowed[from][msg.sender].sub(value);
        return true;
    }
    /**
     * @notice Transfers tokens from the caller.
     * @param to    Payee's address.
     * @param value Transfer amount.
     * @return True if the operation was successful.
     */
    function transfer(address to, uint256 value)
        external
        override
        whenNotPaused
        notBlacklisted(msg.sender)
        notBlacklisted(to)
        returns (bool)
    {
        _transfer(msg.sender, to, value);
        return true;
    }
    /**
     * @dev Internal function to process transfers.
     * @param from  Payer's address.
     * @param to    Payee's address.
     * @param value Transfer amount.
     */
    function _transfer(
        address from,
        address to,
        uint256 value
    ) internal override {
        require(from != address(0), "ERC20: transfer from the zero address");
        require(to != address(0), "ERC20: transfer to the zero address");
        require(
            value <= _balanceOf(from),
            "ERC20: transfer amount exceeds balance"
        );
        _setBalance(from, _balanceOf(from).sub(value));
        _setBalance(to, _balanceOf(to).add(value));
        emit Transfer(from, to, value);
    }
    /**
     * @notice Adds or updates a new minter with a mint allowance.
     * @param minter The address of the minter.
     * @param minterAllowedAmount The minting amount allowed for the minter.
     * @return True if the operation was successful.
     */
    function configureMinter(address minter, uint256 minterAllowedAmount)
        external
        whenNotPaused
        onlyMasterMinter
        returns (bool)
    {
        minters[minter] = true;
        minterAllowed[minter] = minterAllowedAmount;
        emit MinterConfigured(minter, minterAllowedAmount);
        return true;
    }
    /**
     * @notice Removes a minter.
     * @param minter The address of the minter to remove.
     * @return True if the operation was successful.
     */
    function removeMinter(address minter)
        external
        onlyMasterMinter
        returns (bool)
    {
        minters[minter] = false;
        minterAllowed[minter] = 0;
        emit MinterRemoved(minter);
        return true;
    }
    /**
     * @notice Allows a minter to burn some of its own tokens.
     * @dev The caller must be a minter, must not be blacklisted, and the amount to burn
     * should be less than or equal to the account's balance.
     * @param _amount the amount of tokens to be burned.
     */
    function burn(uint256 _amount)
        external
        whenNotPaused
        onlyMinters
        notBlacklisted(msg.sender)
    {
        uint256 balance = _balanceOf(msg.sender);
        require(_amount > 0, "FiatToken: burn amount not greater than 0");
        require(balance >= _amount, "FiatToken: burn amount exceeds balance");
        totalSupply_ = totalSupply_.sub(_amount);
        _setBalance(msg.sender, balance.sub(_amount));
        emit Burn(msg.sender, _amount);
        emit Transfer(msg.sender, address(0), _amount);
    }
    /**
     * @notice Updates the master minter address.
     * @param _newMasterMinter The address of the new master minter.
     */
    function updateMasterMinter(address _newMasterMinter) external onlyOwner {
        require(
            _newMasterMinter != address(0),
            "FiatToken: new masterMinter is the zero address"
        );
        masterMinter = _newMasterMinter;
        emit MasterMinterChanged(masterMinter);
    }
    /**
     * @inheritdoc Blacklistable
     */
    function _blacklist(address _account) internal override {
        _setBlacklistState(_account, true);
    }
    /**
     * @inheritdoc Blacklistable
     */
    function _unBlacklist(address _account) internal override {
        _setBlacklistState(_account, false);
    }
    /**
     * @dev Helper method that sets the blacklist state of an account.
     * @param _account         The address of the account.
     * @param _shouldBlacklist True if the account should be blacklisted, false if the account should be unblacklisted.
     */
    function _setBlacklistState(address _account, bool _shouldBlacklist)
        internal
        virtual
    {
        _deprecatedBlacklisted[_account] = _shouldBlacklist;
    }
    /**
     * @dev Helper method that sets the balance of an account.
     * @param _account The address of the account.
     * @param _balance The new fiat token balance of the account.
     */
    function _setBalance(address _account, uint256 _balance) internal virtual {
        balanceAndBlacklistStates[_account] = _balance;
    }
    /**
     * @inheritdoc Blacklistable
     */
    function _isBlacklisted(address _account)
        internal
        virtual
        override
        view
        returns (bool)
    {
        return _deprecatedBlacklisted[_account];
    }
    /**
     * @dev Helper method to obtain the balance of an account.
     * @param _account  The address of the account.
     * @return          The fiat token balance of the account.
     */
    function _balanceOf(address _account)
        internal
        virtual
        view
        returns (uint256)
    {
        return balanceAndBlacklistStates[_account];
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { Ownable } from "./Ownable.sol";
/**
 * @title Blacklistable Token
 * @dev Allows accounts to be blacklisted by a "blacklister" role
 */
abstract contract Blacklistable is Ownable {
    address public blacklister;
    mapping(address => bool) internal _deprecatedBlacklisted;
    event Blacklisted(address indexed _account);
    event UnBlacklisted(address indexed _account);
    event BlacklisterChanged(address indexed newBlacklister);
    /**
     * @dev Throws if called by any account other than the blacklister.
     */
    modifier onlyBlacklister() {
        require(
            msg.sender == blacklister,
            "Blacklistable: caller is not the blacklister"
        );
        _;
    }
    /**
     * @dev Throws if argument account is blacklisted.
     * @param _account The address to check.
     */
    modifier notBlacklisted(address _account) {
        require(
            !_isBlacklisted(_account),
            "Blacklistable: account is blacklisted"
        );
        _;
    }
    /**
     * @notice Checks if account is blacklisted.
     * @param _account The address to check.
     * @return True if the account is blacklisted, false if the account is not blacklisted.
     */
    function isBlacklisted(address _account) external view returns (bool) {
        return _isBlacklisted(_account);
    }
    /**
     * @notice Adds account to blacklist.
     * @param _account The address to blacklist.
     */
    function blacklist(address _account) external onlyBlacklister {
        _blacklist(_account);
        emit Blacklisted(_account);
    }
    /**
     * @notice Removes account from blacklist.
     * @param _account The address to remove from the blacklist.
     */
    function unBlacklist(address _account) external onlyBlacklister {
        _unBlacklist(_account);
        emit UnBlacklisted(_account);
    }
    /**
     * @notice Updates the blacklister address.
     * @param _newBlacklister The address of the new blacklister.
     */
    function updateBlacklister(address _newBlacklister) external onlyOwner {
        require(
            _newBlacklister != address(0),
            "Blacklistable: new blacklister is the zero address"
        );
        blacklister = _newBlacklister;
        emit BlacklisterChanged(blacklister);
    }
    /**
     * @dev Checks if account is blacklisted.
     * @param _account The address to check.
     * @return true if the account is blacklisted, false otherwise.
     */
    function _isBlacklisted(address _account)
        internal
        virtual
        view
        returns (bool);
    /**
     * @dev Helper method that blacklists an account.
     * @param _account The address to blacklist.
     */
    function _blacklist(address _account) internal virtual;
    /**
     * @dev Helper method that unblacklists an account.
     * @param _account The address to unblacklist.
     */
    function _unBlacklist(address _account) internal virtual;
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
abstract contract AbstractFiatTokenV1 is IERC20 {
    function _approve(
        address owner,
        address spender,
        uint256 value
    ) internal virtual;
    function _transfer(
        address from,
        address to,
        uint256 value
    ) internal virtual;
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { Ownable } from "../v1/Ownable.sol";
import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/SafeERC20.sol";
contract Rescuable is Ownable {
    using SafeERC20 for IERC20;
    address private _rescuer;
    event RescuerChanged(address indexed newRescuer);
    /**
     * @notice Returns current rescuer
     * @return Rescuer's address
     */
    function rescuer() external view returns (address) {
        return _rescuer;
    }
    /**
     * @notice Revert if called by any account other than the rescuer.
     */
    modifier onlyRescuer() {
        require(msg.sender == _rescuer, "Rescuable: caller is not the rescuer");
        _;
    }
    /**
     * @notice Rescue ERC20 tokens locked up in this contract.
     * @param tokenContract ERC20 token contract address
     * @param to        Recipient address
     * @param amount    Amount to withdraw
     */
    function rescueERC20(
        IERC20 tokenContract,
        address to,
        uint256 amount
    ) external onlyRescuer {
        tokenContract.safeTransfer(to, amount);
    }
    /**
     * @notice Updates the rescuer address.
     * @param newRescuer The address of the new rescuer.
     */
    function updateRescuer(address newRescuer) external onlyOwner {
        require(
            newRescuer != address(0),
            "Rescuable: new rescuer is the zero address"
        );
        _rescuer = newRescuer;
        emit RescuerChanged(newRescuer);
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { FiatTokenV1 } from "../v1/FiatTokenV1.sol";
import { Rescuable } from "./Rescuable.sol";
/**
 * @title FiatTokenV1_1
 * @dev ERC20 Token backed by fiat reserves
 */
contract FiatTokenV1_1 is FiatTokenV1, Rescuable {
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
import { ECRecover } from "./ECRecover.sol";
import { IERC1271 } from "../interface/IERC1271.sol";
/**
 * @dev Signature verification helper that can be used instead of `ECRecover.recover` to seamlessly support both ECDSA
 * signatures from externally owned accounts (EOAs) as well as ERC1271 signatures from smart contract wallets.
 *
 * Adapted from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/21bb89ef5bfc789b9333eb05e3ba2b7b284ac77c/contracts/utils/cryptography/SignatureChecker.sol
 */
library SignatureChecker {
    /**
     * @dev Checks if a signature is valid for a given signer and data hash. If the signer is a smart contract, the
     * signature is validated against that smart contract using ERC1271, otherwise it's validated using `ECRecover.recover`.
     * @param signer        Address of the claimed signer
     * @param digest        Keccak-256 hash digest of the signed message
     * @param signature     Signature byte array associated with hash
     */
    function isValidSignatureNow(
        address signer,
        bytes32 digest,
        bytes memory signature
    ) external view returns (bool) {
        if (!isContract(signer)) {
            return ECRecover.recover(digest, signature) == signer;
        }
        return isValidERC1271SignatureNow(signer, digest, signature);
    }
    /**
     * @dev Checks if a signature is valid for a given signer and data hash. The signature is validated
     * against the signer smart contract using ERC1271.
     * @param signer        Address of the claimed signer
     * @param digest        Keccak-256 hash digest of the signed message
     * @param signature     Signature byte array associated with hash
     *
     * NOTE: Unlike ECDSA signatures, contract signatures are revocable, and the outcome of this function can thus
     * change through time. It could return true at block N and false at block N+1 (or the opposite).
     */
    function isValidERC1271SignatureNow(
        address signer,
        bytes32 digest,
        bytes memory signature
    ) internal view returns (bool) {
        (bool success, bytes memory result) = signer.staticcall(
            abi.encodeWithSelector(
                IERC1271.isValidSignature.selector,
                digest,
                signature
            )
        );
        return (success &&
            result.length >= 32 &&
            abi.decode(result, (bytes32)) ==
            bytes32(IERC1271.isValidSignature.selector));
    }
    /**
     * @dev Checks if the input address is a smart contract.
     */
    function isContract(address addr) internal view returns (bool) {
        uint256 size;
        assembly {
            size := extcodesize(addr)
        }
        return size > 0;
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
/**
 * @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.
 *
 * The library provides methods for generating a hash of a message that conforms to the
 * https://eips.ethereum.org/EIPS/eip-191[EIP 191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
 * specifications.
 */
library MessageHashUtils {
    /**
     * @dev Returns the keccak256 digest of an EIP-712 typed data (EIP-191 version `0x01`).
     * Adapted from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/21bb89ef5bfc789b9333eb05e3ba2b7b284ac77c/contracts/utils/cryptography/MessageHashUtils.sol
     *
     * The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with
     * `\\x19\\x01` and hashing the result. It corresponds to the hash signed by the
     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.
     *
     * @param domainSeparator    Domain separator
     * @param structHash         Hashed EIP-712 data struct
     * @return digest            The keccak256 digest of an EIP-712 typed data
     */
    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash)
        internal
        pure
        returns (bytes32 digest)
    {
        assembly {
            let ptr := mload(0x40)
            mstore(ptr, "\\x19\\x01")
            mstore(add(ptr, 0x02), domainSeparator)
            mstore(add(ptr, 0x22), structHash)
            digest := keccak256(ptr, 0x42)
        }
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
/**
 * @title EIP712
 * @notice A library that provides EIP712 helper functions
 */
library EIP712 {
    /**
     * @notice Make EIP712 domain separator
     * @param name      Contract name
     * @param version   Contract version
     * @param chainId   Blockchain ID
     * @return Domain separator
     */
    function makeDomainSeparator(
        string memory name,
        string memory version,
        uint256 chainId
    ) internal view returns (bytes32) {
        return
            keccak256(
                abi.encode(
                    // keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)")
                    0x8b73c3c69bb8fe3d512ecc4cf759cc79239f7b179b0ffacaa9a75d522b39400f,
                    keccak256(bytes(name)),
                    keccak256(bytes(version)),
                    chainId,
                    address(this)
                )
            );
    }
    /**
     * @notice Make EIP712 domain separator
     * @param name      Contract name
     * @param version   Contract version
     * @return Domain separator
     */
    function makeDomainSeparator(string memory name, string memory version)
        internal
        view
        returns (bytes32)
    {
        uint256 chainId;
        assembly {
            chainId := chainid()
        }
        return makeDomainSeparator(name, version, chainId);
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
/**
 * @title ECRecover
 * @notice A library that provides a safe ECDSA recovery function
 */
library ECRecover {
    /**
     * @notice Recover signer's address from a signed message
     * @dev Adapted from: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/65e4ffde586ec89af3b7e9140bdc9235d1254853/contracts/cryptography/ECDSA.sol
     * Modifications: Accept v, r, and s as separate arguments
     * @param digest    Keccak-256 hash digest of the signed message
     * @param v         v of the signature
     * @param r         r of the signature
     * @param s         s of the signature
     * @return Signer address
     */
    function recover(
        bytes32 digest,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal pure returns (address) {
        // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
        // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
        // the valid range for s in (281): 0 < s < secp256k1n ÷ 2 + 1, and for v in (282): v ∈ {27, 28}. Most
        // signatures from current libraries generate a unique signature with an s-value in the lower half order.
        //
        // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
        // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
        // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
        // these malleable signatures as well.
        if (
            uint256(s) >
            0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0
        ) {
            revert("ECRecover: invalid signature 's' value");
        }
        if (v != 27 && v != 28) {
            revert("ECRecover: invalid signature 'v' value");
        }
        // If the signature is valid (and not malleable), return the signer address
        address signer = ecrecover(digest, v, r, s);
        require(signer != address(0), "ECRecover: invalid signature");
        return signer;
    }
    /**
     * @notice Recover signer's address from a signed message
     * @dev Adapted from: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/0053ee040a7ff1dbc39691c9e67a69f564930a88/contracts/utils/cryptography/ECDSA.sol
     * @param digest    Keccak-256 hash digest of the signed message
     * @param signature Signature byte array associated with hash
     * @return Signer address
     */
    function recover(bytes32 digest, bytes memory signature)
        internal
        pure
        returns (address)
    {
        require(signature.length == 65, "ECRecover: invalid signature length");
        bytes32 r;
        bytes32 s;
        uint8 v;
        // ecrecover takes the signature parameters, and the only way to get them
        // currently is to use assembly.
        /// @solidity memory-safe-assembly
        assembly {
            r := mload(add(signature, 0x20))
            s := mload(add(signature, 0x40))
            v := byte(0, mload(add(signature, 0x60)))
        }
        return recover(digest, v, r, s);
    }
}
/**
 * SPDX-License-Identifier: Apache-2.0
 *
 * Copyright (c) 2023, Circle Internet Financial, LLC.
 *
 * 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
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
pragma solidity 0.6.12;
/**
 * @dev Interface of the ERC1271 standard signature validation method for
 * contracts as defined in https://eips.ethereum.org/EIPS/eip-1271[ERC-1271].
 */
interface IERC1271 {
    /**
     * @dev Should return whether the signature provided is valid for the provided data
     * @param hash          Hash of the data to be signed
     * @param signature     Signature byte array associated with the provided data hash
     * @return magicValue   bytes4 magic value 0x1626ba7e when function passes
     */
    function isValidSignature(bytes32 hash, bytes memory signature)
        external
        view
        returns (bytes4 magicValue);
}

// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './pool/IPancakeV3PoolImmutables.sol';
import './pool/IPancakeV3PoolState.sol';
import './pool/IPancakeV3PoolDerivedState.sol';
import './pool/IPancakeV3PoolActions.sol';
import './pool/IPancakeV3PoolOwnerActions.sol';
import './pool/IPancakeV3PoolEvents.sol';
/// @title The interface for a PancakeSwap V3 Pool
/// @notice A PancakeSwap pool facilitates swapping and automated market making between any two assets that strictly conform
/// to the ERC20 specification
/// @dev The pool interface is broken up into many smaller pieces
interface IPancakeV3Pool is
    IPancakeV3PoolImmutables,
    IPancakeV3PoolState,
    IPancakeV3PoolDerivedState,
    IPancakeV3PoolActions,
    IPancakeV3PoolOwnerActions,
    IPancakeV3PoolEvents
{
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissionless pool actions
/// @notice Contains pool methods that can be called by anyone
interface IPancakeV3PoolActions {
    /// @notice Sets the initial price for the pool
    /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
    /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
    function initialize(uint160 sqrtPriceX96) external;
    /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
    /// @dev The caller of this method receives a callback in the form of IPancakeV3MintCallback#pancakeV3MintCallback
    /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
    /// on tickLower, tickUpper, the amount of liquidity, and the current price.
    /// @param recipient The address for which the liquidity will be created
    /// @param tickLower The lower tick of the position in which to add liquidity
    /// @param tickUpper The upper tick of the position in which to add liquidity
    /// @param amount The amount of liquidity to mint
    /// @param data Any data that should be passed through to the callback
    /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
    /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Collects tokens owed to a position
    /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
    /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
    /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
    /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
    /// @param recipient The address which should receive the fees collected
    /// @param tickLower The lower tick of the position for which to collect fees
    /// @param tickUpper The upper tick of the position for which to collect fees
    /// @param amount0Requested How much token0 should be withdrawn from the fees owed
    /// @param amount1Requested How much token1 should be withdrawn from the fees owed
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
    /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
    /// @dev Fees must be collected separately via a call to #collect
    /// @param tickLower The lower tick of the position for which to burn liquidity
    /// @param tickUpper The upper tick of the position for which to burn liquidity
    /// @param amount How much liquidity to burn
    /// @return amount0 The amount of token0 sent to the recipient
    /// @return amount1 The amount of token1 sent to the recipient
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Swap token0 for token1, or token1 for token0
    /// @dev The caller of this method receives a callback in the form of IPancakeV3SwapCallback#pancakeV3SwapCallback
    /// @param recipient The address to receive the output of the swap
    /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
    /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
    /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @param data Any data to be passed through to the callback
    /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
    /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);
    /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
    /// @dev The caller of this method receives a callback in the form of IPancakeV3FlashCallback#pancakeV3FlashCallback
    /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
    /// with 0 amount{0,1} and sending the donation amount(s) from the callback
    /// @param recipient The address which will receive the token0 and token1 amounts
    /// @param amount0 The amount of token0 to send
    /// @param amount1 The amount of token1 to send
    /// @param data Any data to be passed through to the callback
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;
    /// @notice Increase the maximum number of price and liquidity observations that this pool will store
    /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
    /// the input observationCardinalityNext.
    /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that is not stored
/// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
/// blockchain. The functions here may have variable gas costs.
interface IPancakeV3PoolDerivedState {
    /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
    /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
    /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
    /// you must call it with secondsAgos = [3600, 0].
    /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
    /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
    /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
    /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
    /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
    /// timestamp
    function observe(uint32[] calldata secondsAgos)
        external
        view
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
    /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
    /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
    /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
    /// snapshot is taken and the second snapshot is taken.
    /// @param tickLower The lower tick of the range
    /// @param tickUpper The upper tick of the range
    /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
    /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
    /// @return secondsInside The snapshot of seconds per liquidity for the range
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Events emitted by a pool
/// @notice Contains all events emitted by the pool
interface IPancakeV3PoolEvents {
    /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
    /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
    /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
    /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
    event Initialize(uint160 sqrtPriceX96, int24 tick);
    /// @notice Emitted when liquidity is minted for a given position
    /// @param sender The address that minted the liquidity
    /// @param owner The owner of the position and recipient of any minted liquidity
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity minted to the position range
    /// @param amount0 How much token0 was required for the minted liquidity
    /// @param amount1 How much token1 was required for the minted liquidity
    event Mint(
        address sender,
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted when fees are collected by the owner of a position
    /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
    /// @param owner The owner of the position for which fees are collected
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount0 The amount of token0 fees collected
    /// @param amount1 The amount of token1 fees collected
    event Collect(
        address indexed owner,
        address recipient,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount0,
        uint128 amount1
    );
    /// @notice Emitted when a position's liquidity is removed
    /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
    /// @param owner The owner of the position for which liquidity is removed
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity to remove
    /// @param amount0 The amount of token0 withdrawn
    /// @param amount1 The amount of token1 withdrawn
    event Burn(
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted by the pool for any swaps between token0 and token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the output of the swap
    /// @param amount0 The delta of the token0 balance of the pool
    /// @param amount1 The delta of the token1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of price of the pool after the swap
    /// @param protocolFeesToken0 The protocol fee of token0 in the swap
    /// @param protocolFeesToken1 The protocol fee of token1 in the swap
    event Swap(
        address indexed sender,
        address indexed recipient,
        int256 amount0,
        int256 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick,
        uint128 protocolFeesToken0,
        uint128 protocolFeesToken1
    );
    /// @notice Emitted by the pool for any flashes of token0/token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the tokens from flash
    /// @param amount0 The amount of token0 that was flashed
    /// @param amount1 The amount of token1 that was flashed
    /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
    /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
    event Flash(
        address indexed sender,
        address indexed recipient,
        uint256 amount0,
        uint256 amount1,
        uint256 paid0,
        uint256 paid1
    );
    /// @notice Emitted by the pool for increases to the number of observations that can be stored
    /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
    /// just before a mint/swap/burn.
    /// @param observationCardinalityNextOld The previous value of the next observation cardinality
    /// @param observationCardinalityNextNew The updated value of the next observation cardinality
    event IncreaseObservationCardinalityNext(
        uint16 observationCardinalityNextOld,
        uint16 observationCardinalityNextNew
    );
    /// @notice Emitted when the protocol fee is changed by the pool
    /// @param feeProtocol0Old The previous value of the token0 protocol fee
    /// @param feeProtocol1Old The previous value of the token1 protocol fee
    /// @param feeProtocol0New The updated value of the token0 protocol fee
    /// @param feeProtocol1New The updated value of the token1 protocol fee
    event SetFeeProtocol(
        uint32 feeProtocol0Old,
        uint32 feeProtocol1Old,
        uint32 feeProtocol0New,
        uint32 feeProtocol1New
    );
    /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
    /// @param sender The address that collects the protocol fees
    /// @param recipient The address that receives the collected protocol fees
    /// @param amount0 The amount of token0 protocol fees that is withdrawn
    /// @param amount0 The amount of token1 protocol fees that is withdrawn
    event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that never changes
/// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
interface IPancakeV3PoolImmutables {
    /// @notice The contract that deployed the pool, which must adhere to the IPancakeV3Factory interface
    /// @return The contract address
    function factory() external view returns (address);
    /// @notice The first of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token0() external view returns (address);
    /// @notice The second of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token1() external view returns (address);
    /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
    /// @return The fee
    function fee() external view returns (uint24);
    /// @notice The pool tick spacing
    /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
    /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
    /// This value is an int24 to avoid casting even though it is always positive.
    /// @return The tick spacing
    function tickSpacing() external view returns (int24);
    /// @notice The maximum amount of position liquidity that can use any tick in the range
    /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
    /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
    /// @return The max amount of liquidity per tick
    function maxLiquidityPerTick() external view returns (uint128);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissioned pool actions
/// @notice Contains pool methods that may only be called by the factory owner
interface IPancakeV3PoolOwnerActions {
    /// @notice Set the denominator of the protocol's % share of the fees
    /// @param feeProtocol0 new protocol fee for token0 of the pool
    /// @param feeProtocol1 new protocol fee for token1 of the pool
    function setFeeProtocol(uint32 feeProtocol0, uint32 feeProtocol1) external;
    /// @notice Collect the protocol fee accrued to the pool
    /// @param recipient The address to which collected protocol fees should be sent
    /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
    /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
    /// @return amount0 The protocol fee collected in token0
    /// @return amount1 The protocol fee collected in token1
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Set the LM pool to enable liquidity mining
    function setLmPool(address lmPool) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that can change
/// @notice These methods compose the pool's state, and can change with any frequency including multiple times
/// per transaction
interface IPancakeV3PoolState {
    /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
    /// when accessed externally.
    /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
    /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
    /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
    /// boundary.
    /// observationIndex The index of the last oracle observation that was written,
    /// observationCardinality The current maximum number of observations stored in the pool,
    /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
    /// feeProtocol The protocol fee for both tokens of the pool.
    /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
    /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
    /// unlocked Whether the pool is currently locked to reentrancy
    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            uint32 feeProtocol,
            bool unlocked
        );
    /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal0X128() external view returns (uint256);
    /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal1X128() external view returns (uint256);
    /// @notice The amounts of token0 and token1 that are owed to the protocol
    /// @dev Protocol fees will never exceed uint128 max in either token
    function protocolFees() external view returns (uint128 token0, uint128 token1);
    /// @notice The currently in range liquidity available to the pool
    /// @dev This value has no relationship to the total liquidity across all ticks
    function liquidity() external view returns (uint128);
    /// @notice Look up information about a specific tick in the pool
    /// @param tick The tick to look up
    /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
    /// tick upper,
    /// liquidityNet how much liquidity changes when the pool price crosses the tick,
    /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
    /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
    /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
    /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
    /// secondsOutside the seconds spent on the other side of the tick from the current tick,
    /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
    /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
    /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
    /// a specific position.
    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );
    /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
    function tickBitmap(int16 wordPosition) external view returns (uint256);
    /// @notice Returns the information about a position by the position's key
    /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
    /// @return _liquidity The amount of liquidity in the position,
    /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
    /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
    /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
    /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
    function positions(bytes32 key)
        external
        view
        returns (
            uint128 _liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );
    /// @notice Returns data about a specific observation index
    /// @param index The element of the observations array to fetch
    /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
    /// ago, rather than at a specific index in the array.
    /// @return blockTimestamp The timestamp of the observation,
    /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
    /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
    /// Returns initialized whether the observation has been initialized and the values are safe to use
    function observations(uint256 index)
        external
        view
        returns (
            uint32 blockTimestamp,
            int56 tickCumulative,
            uint160 secondsPerLiquidityCumulativeX128,
            bool initialized
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0;
/// @title FixedPoint128
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
library FixedPoint128 {
    uint256 internal constant Q128 = 0x100000000000000000000000000000000;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0 <0.8.0;
/// @title Contains 512-bit math functions
/// @notice Facilitates multiplication and division that can have overflow of an intermediate value without any loss of precision
/// @dev Handles "phantom overflow" i.e., allows multiplication and division where an intermediate value overflows 256 bits
library FullMath {
    /// @notice Calculates floor(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
    function mulDiv(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        // 512-bit multiply [prod1 prod0] = a * b
        // Compute the product mod 2**256 and mod 2**256 - 1
        // then use the Chinese Remainder Theorem to reconstruct
        // the 512 bit result. The result is stored in two 256
        // variables such that product = prod1 * 2**256 + prod0
        uint256 prod0; // Least significant 256 bits of the product
        uint256 prod1; // Most significant 256 bits of the product
        assembly {
            let mm := mulmod(a, b, not(0))
            prod0 := mul(a, b)
            prod1 := sub(sub(mm, prod0), lt(mm, prod0))
        }
        // Handle non-overflow cases, 256 by 256 division
        if (prod1 == 0) {
            require(denominator > 0);
            assembly {
                result := div(prod0, denominator)
            }
            return result;
        }
        // Make sure the result is less than 2**256.
        // Also prevents denominator == 0
        require(denominator > prod1);
        ///////////////////////////////////////////////
        // 512 by 256 division.
        ///////////////////////////////////////////////
        // Make division exact by subtracting the remainder from [prod1 prod0]
        // Compute remainder using mulmod
        uint256 remainder;
        assembly {
            remainder := mulmod(a, b, denominator)
        }
        // Subtract 256 bit number from 512 bit number
        assembly {
            prod1 := sub(prod1, gt(remainder, prod0))
            prod0 := sub(prod0, remainder)
        }
        // Factor powers of two out of denominator
        // Compute largest power of two divisor of denominator.
        // Always >= 1.
        uint256 twos = -denominator & denominator;
        // Divide denominator by power of two
        assembly {
            denominator := div(denominator, twos)
        }
        // Divide [prod1 prod0] by the factors of two
        assembly {
            prod0 := div(prod0, twos)
        }
        // Shift in bits from prod1 into prod0. For this we need
        // to flip `twos` such that it is 2**256 / twos.
        // If twos is zero, then it becomes one
        assembly {
            twos := add(div(sub(0, twos), twos), 1)
        }
        prod0 |= prod1 * twos;
        // Invert denominator mod 2**256
        // Now that denominator is an odd number, it has an inverse
        // modulo 2**256 such that denominator * inv = 1 mod 2**256.
        // Compute the inverse by starting with a seed that is correct
        // correct for four bits. That is, denominator * inv = 1 mod 2**4
        uint256 inv = (3 * denominator) ^ 2;
        // Now use Newton-Raphson iteration to improve the precision.
        // Thanks to Hensel's lifting lemma, this also works in modular
        // arithmetic, doubling the correct bits in each step.
        inv *= 2 - denominator * inv; // inverse mod 2**8
        inv *= 2 - denominator * inv; // inverse mod 2**16
        inv *= 2 - denominator * inv; // inverse mod 2**32
        inv *= 2 - denominator * inv; // inverse mod 2**64
        inv *= 2 - denominator * inv; // inverse mod 2**128
        inv *= 2 - denominator * inv; // inverse mod 2**256
        // Because the division is now exact we can divide by multiplying
        // with the modular inverse of denominator. This will give us the
        // correct result modulo 2**256. Since the precoditions guarantee
        // that the outcome is less than 2**256, this is the final result.
        // We don't need to compute the high bits of the result and prod1
        // is no longer required.
        result = prod0 * inv;
        return result;
    }
    /// @notice Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    function mulDivRoundingUp(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        result = mulDiv(a, b, denominator);
        if (mulmod(a, b, denominator) > 0) {
            require(result < type(uint256).max);
            result++;
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math library for liquidity
library LiquidityMath {
    /// @notice Add a signed liquidity delta to liquidity and revert if it overflows or underflows
    /// @param x The liquidity before change
    /// @param y The delta by which liquidity should be changed
    /// @return z The liquidity delta
    function addDelta(uint128 x, int128 y) internal pure returns (uint128 z) {
        if (y < 0) {
            require((z = x - uint128(-y)) < x, 'LS');
        } else {
            require((z = x + uint128(y)) >= x, 'LA');
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.7.0;
/// @title Optimized overflow and underflow safe math operations
/// @notice Contains methods for doing math operations that revert on overflow or underflow for minimal gas cost
library LowGasSafeMath {
    /// @notice Returns x + y, reverts if sum overflows uint256
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x + y) >= x);
    }
    /// @notice Returns x - y, reverts if underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x - y) <= x);
    }
    /// @notice Returns x * y, reverts if overflows
    /// @param x The multiplicand
    /// @param y The multiplier
    /// @return z The product of x and y
    function mul(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require(x == 0 || (z = x * y) / x == y);
    }
    /// @notice Returns x + y, reverts if overflows or underflows
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x + y) >= x == (y >= 0));
    }
    /// @notice Returns x - y, reverts if overflows or underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x - y) <= x == (y >= 0));
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Safe casting methods
/// @notice Contains methods for safely casting between types
library SafeCast {
    /// @notice Cast a uint256 to a uint160, revert on overflow
    /// @param y The uint256 to be downcasted
    /// @return z The downcasted integer, now type uint160
    function toUint160(uint256 y) internal pure returns (uint160 z) {
        require((z = uint160(y)) == y);
    }
    /// @notice Cast a int256 to a int128, revert on overflow or underflow
    /// @param y The int256 to be downcasted
    /// @return z The downcasted integer, now type int128
    function toInt128(int256 y) internal pure returns (int128 z) {
        require((z = int128(y)) == y);
    }
    /// @notice Cast a uint256 to a int256, revert on overflow
    /// @param y The uint256 to be casted
    /// @return z The casted integer, now type int256
    function toInt256(uint256 y) internal pure returns (int256 z) {
        require(y < 2**255);
        z = int256(y);
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <0.8.0;
/// @title Math library for computing sqrt prices from ticks and vice versa
/// @notice Computes sqrt price for ticks of size 1.0001, i.e. sqrt(1.0001^tick) as fixed point Q64.96 numbers. Supports
/// prices between 2**-128 and 2**128
library TickMath {
    /// @dev The minimum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**-128
    int24 internal constant MIN_TICK = -887272;
    /// @dev The maximum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**128
    int24 internal constant MAX_TICK = -MIN_TICK;
    /// @dev The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
    uint160 internal constant MIN_SQRT_RATIO = 4295128739;
    /// @dev The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
    uint160 internal constant MAX_SQRT_RATIO = 1461446703485210103287273052203988822378723970342;
    /// @notice Calculates sqrt(1.0001^tick) * 2^96
    /// @dev Throws if |tick| > max tick
    /// @param tick The input tick for the above formula
    /// @return sqrtPriceX96 A Fixed point Q64.96 number representing the sqrt of the ratio of the two assets (token1/token0)
    /// at the given tick
    function getSqrtRatioAtTick(int24 tick) internal pure returns (uint160 sqrtPriceX96) {
        uint256 absTick = tick < 0 ? uint256(-int256(tick)) : uint256(int256(tick));
        require(absTick <= uint256(MAX_TICK), 'T');
        uint256 ratio = absTick & 0x1 != 0 ? 0xfffcb933bd6fad37aa2d162d1a594001 : 0x100000000000000000000000000000000;
        if (absTick & 0x2 != 0) ratio = (ratio * 0xfff97272373d413259a46990580e213a) >> 128;
        if (absTick & 0x4 != 0) ratio = (ratio * 0xfff2e50f5f656932ef12357cf3c7fdcc) >> 128;
        if (absTick & 0x8 != 0) ratio = (ratio * 0xffe5caca7e10e4e61c3624eaa0941cd0) >> 128;
        if (absTick & 0x10 != 0) ratio = (ratio * 0xffcb9843d60f6159c9db58835c926644) >> 128;
        if (absTick & 0x20 != 0) ratio = (ratio * 0xff973b41fa98c081472e6896dfb254c0) >> 128;
        if (absTick & 0x40 != 0) ratio = (ratio * 0xff2ea16466c96a3843ec78b326b52861) >> 128;
        if (absTick & 0x80 != 0) ratio = (ratio * 0xfe5dee046a99a2a811c461f1969c3053) >> 128;
        if (absTick & 0x100 != 0) ratio = (ratio * 0xfcbe86c7900a88aedcffc83b479aa3a4) >> 128;
        if (absTick & 0x200 != 0) ratio = (ratio * 0xf987a7253ac413176f2b074cf7815e54) >> 128;
        if (absTick & 0x400 != 0) ratio = (ratio * 0xf3392b0822b70005940c7a398e4b70f3) >> 128;
        if (absTick & 0x800 != 0) ratio = (ratio * 0xe7159475a2c29b7443b29c7fa6e889d9) >> 128;
        if (absTick & 0x1000 != 0) ratio = (ratio * 0xd097f3bdfd2022b8845ad8f792aa5825) >> 128;
        if (absTick & 0x2000 != 0) ratio = (ratio * 0xa9f746462d870fdf8a65dc1f90e061e5) >> 128;
        if (absTick & 0x4000 != 0) ratio = (ratio * 0x70d869a156d2a1b890bb3df62baf32f7) >> 128;
        if (absTick & 0x8000 != 0) ratio = (ratio * 0x31be135f97d08fd981231505542fcfa6) >> 128;
        if (absTick & 0x10000 != 0) ratio = (ratio * 0x9aa508b5b7a84e1c677de54f3e99bc9) >> 128;
        if (absTick & 0x20000 != 0) ratio = (ratio * 0x5d6af8dedb81196699c329225ee604) >> 128;
        if (absTick & 0x40000 != 0) ratio = (ratio * 0x2216e584f5fa1ea926041bedfe98) >> 128;
        if (absTick & 0x80000 != 0) ratio = (ratio * 0x48a170391f7dc42444e8fa2) >> 128;
        if (tick > 0) ratio = type(uint256).max / ratio;
        // this divides by 1<<32 rounding up to go from a Q128.128 to a Q128.96.
        // we then downcast because we know the result always fits within 160 bits due to our tick input constraint
        // we round up in the division so getTickAtSqrtRatio of the output price is always consistent
        sqrtPriceX96 = uint160((ratio >> 32) + (ratio % (1 << 32) == 0 ? 0 : 1));
    }
    /// @notice Calculates the greatest tick value such that getRatioAtTick(tick) <= ratio
    /// @dev Throws in case sqrtPriceX96 < MIN_SQRT_RATIO, as MIN_SQRT_RATIO is the lowest value getRatioAtTick may
    /// ever return.
    /// @param sqrtPriceX96 The sqrt ratio for which to compute the tick as a Q64.96
    /// @return tick The greatest tick for which the ratio is less than or equal to the input ratio
    function getTickAtSqrtRatio(uint160 sqrtPriceX96) internal pure returns (int24 tick) {
        // second inequality must be < because the price can never reach the price at the max tick
        require(sqrtPriceX96 >= MIN_SQRT_RATIO && sqrtPriceX96 < MAX_SQRT_RATIO, 'R');
        uint256 ratio = uint256(sqrtPriceX96) << 32;
        uint256 r = ratio;
        uint256 msb = 0;
        assembly {
            let f := shl(7, gt(r, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(6, gt(r, 0xFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(5, gt(r, 0xFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(4, gt(r, 0xFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(3, gt(r, 0xFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(2, gt(r, 0xF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(1, gt(r, 0x3))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := gt(r, 0x1)
            msb := or(msb, f)
        }
        if (msb >= 128) r = ratio >> (msb - 127);
        else r = ratio << (127 - msb);
        int256 log_2 = (int256(msb) - 128) << 64;
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(63, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(62, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(61, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(60, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(59, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(58, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(57, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(56, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(55, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(54, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(53, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(52, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(51, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(50, f))
        }
        int256 log_sqrt10001 = log_2 * 255738958999603826347141; // 128.128 number
        int24 tickLow = int24((log_sqrt10001 - 3402992956809132418596140100660247210) >> 128);
        int24 tickHi = int24((log_sqrt10001 + 291339464771989622907027621153398088495) >> 128);
        tick = tickLow == tickHi ? tickLow : getSqrtRatioAtTick(tickHi) <= sqrtPriceX96 ? tickHi : tickLow;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
interface ILMPool {
    function lmTicks(int24) external view returns (uint128, int128, uint256);
    function rewardGrowthGlobalX128() external view returns (uint256);
    function lmLiquidity() external view returns (uint128);
    function lastRewardTimestamp() external view returns (uint32);
    function getRewardGrowthInside(int24 tickLower, int24 tickUpper) external view returns (uint256);
    function OldLMPool() external view returns (address);
    function lmTicksFlag(int24 tick) external view returns (bool);
    function negativeRewardGrowthInsideFlag(int24 tickLower, int24 tickUpper) external view returns (bool);
    function negativeRewardGrowthInsideInitValue(int24 tickLower, int24 tickUpper) external view returns (uint256);
    function checkNegativeFlag(int24 tickLower, int24 tickUpper) external view returns (bool);
    function checkSecondLMPool(int24 tickLower, int24 tickUpper) external view returns (bool);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity =0.7.6;
interface IMasterChefV3 {
    function nonfungiblePositionManager() external view returns (address);
    function getLatestPeriodInfo(address _v3Pool) external view returns (uint256 cakePerSecond, uint256 endTime);
    function poolInfo(uint256 pid) external view returns (uint256, address, address, address, uint24, uint256, uint256);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
interface IPancakeV3LmPool {
    function accumulateReward(uint32 currTimestamp) external;
    function crossLmTick(int24 tick, bool zeroForOne) external;
    function initialize() external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
interface IPancakeV3LmPoolDeveloper {
    function parameters()
        external
        view
        returns (address pool, address masterChef, address firstLMPool, address secondLMPool, address thirdLMPool);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <0.8.0;
import '@pancakeswap/v3-core/contracts/libraries/LowGasSafeMath.sol';
import '@pancakeswap/v3-core/contracts/libraries/SafeCast.sol';
import '@pancakeswap/v3-core/contracts/libraries/TickMath.sol';
import '@pancakeswap/v3-core/contracts/libraries/LiquidityMath.sol';
/// @title LmTick
/// @notice Contains functions for managing tick processes and relevant calculations
library LmTick {
    using LowGasSafeMath for int256;
    using SafeCast for int256;
    // info stored for each initialized individual tick
    struct Info {
        // the total position liquidity that references this tick
        uint128 liquidityGross;
        // amount of net liquidity added (subtracted) when tick is crossed from left to right (right to left),
        int128 liquidityNet;
        // reward growth per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint256 rewardGrowthOutsideX128;
    }
    /// @notice Retrieves reward growth data
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @param tickCurrent The current tick
    /// @param rewardGrowthGlobalX128 The all-time global reward growth, per unit of liquidity
    /// @return rewardGrowthInsideX128 The all-time reward growth, per unit of liquidity, inside the position's tick boundaries
    function getRewardGrowthInside(
        mapping(int24 => LmTick.Info) storage self,
        int24 tickLower,
        int24 tickUpper,
        int24 tickCurrent,
        uint256 rewardGrowthGlobalX128
    ) internal view returns (uint256 rewardGrowthInsideX128) {
        Info storage lower = self[tickLower];
        Info storage upper = self[tickUpper];
        // calculate reward growth below
        uint256 rewardGrowthBelowX128;
        if (tickCurrent >= tickLower) {
            rewardGrowthBelowX128 = lower.rewardGrowthOutsideX128;
        } else {
            rewardGrowthBelowX128 = rewardGrowthGlobalX128 - lower.rewardGrowthOutsideX128;
        }
        // calculate reward growth above
        uint256 rewardGrowthAboveX128;
        if (tickCurrent < tickUpper) {
            rewardGrowthAboveX128 = upper.rewardGrowthOutsideX128;
        } else {
            rewardGrowthAboveX128 = rewardGrowthGlobalX128 - upper.rewardGrowthOutsideX128;
        }
        rewardGrowthInsideX128 = rewardGrowthGlobalX128 - rewardGrowthBelowX128 - rewardGrowthAboveX128;
    }
    /// @notice Updates a tick and returns true if the tick was flipped from initialized to uninitialized, or vice versa
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The tick that will be updated
    /// @param tickCurrent The current tick
    /// @param liquidityDelta A new amount of liquidity to be added (subtracted) when tick is crossed from left to right (right to left)
    /// @param rewardGrowthGlobalX128 The all-time global reward growth, per unit of liquidity
    /// @param upper true for updating a position's upper tick, or false for updating a position's lower tick
    /// @param maxLiquidity The maximum liquidity allocation for a single tick
    /// @return flipped Whether the tick was flipped from initialized to uninitialized, or vice versa
    function update(
        mapping(int24 => LmTick.Info) storage self,
        int24 tick,
        int24 tickCurrent,
        int128 liquidityDelta,
        uint256 rewardGrowthGlobalX128,
        bool upper,
        uint128 maxLiquidity
    ) internal returns (bool flipped) {
        LmTick.Info storage info = self[tick];
        uint128 liquidityGrossBefore = info.liquidityGross;
        uint128 liquidityGrossAfter = LiquidityMath.addDelta(liquidityGrossBefore, liquidityDelta);
        require(liquidityGrossAfter <= maxLiquidity, 'LO');
        flipped = (liquidityGrossAfter == 0) != (liquidityGrossBefore == 0);
        if (liquidityGrossBefore == 0) {
            // by convention, we assume that all growth before a tick was initialized happened _below_ the tick
            if (tick <= tickCurrent) {
                info.rewardGrowthOutsideX128 = rewardGrowthGlobalX128;
            }
        }
        info.liquidityGross = liquidityGrossAfter;
        // when the lower (upper) tick is crossed left to right (right to left), liquidity must be added (removed)
        info.liquidityNet = upper
            ? int256(info.liquidityNet).sub(liquidityDelta).toInt128()
            : int256(info.liquidityNet).add(liquidityDelta).toInt128();
    }
    /// @notice Clears tick data
    /// @param self The mapping containing all initialized tick information for initialized ticks
    /// @param tick The tick that will be cleared
    function clear(mapping(int24 => LmTick.Info) storage self, int24 tick) internal {
        delete self[tick];
    }
    /// @notice Transitions to next tick as needed by price movement
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The destination tick of the transition
    /// @param rewardGrowthGlobalX128 The all-time global reward growth, per unit of liquidity, in token0
    /// @return liquidityNet The amount of liquidity added (subtracted) when tick is crossed from left to right (right to left)
    function cross(
        mapping(int24 => LmTick.Info) storage self,
        int24 tick,
        uint256 rewardGrowthGlobalX128
    ) internal returns (int128 liquidityNet) {
        LmTick.Info storage info = self[tick];
        info.rewardGrowthOutsideX128 = rewardGrowthGlobalX128 - info.rewardGrowthOutsideX128;
        liquidityNet = info.liquidityNet;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity =0.7.6;
import '@pancakeswap/v3-core/contracts/libraries/LowGasSafeMath.sol';
import '@pancakeswap/v3-core/contracts/libraries/SafeCast.sol';
import '@pancakeswap/v3-core/contracts/libraries/FullMath.sol';
import '@pancakeswap/v3-core/contracts/libraries/FixedPoint128.sol';
import '@pancakeswap/v3-core/contracts/interfaces/IPancakeV3Pool.sol';
import './libraries/LmTick.sol';
import './interfaces/IPancakeV3LmPool.sol';
import './interfaces/ILMPool.sol';
import './interfaces/IMasterChefV3.sol';
import './interfaces/IPancakeV3LmPoolDeveloper.sol';
contract PancakeV3LmPool is IPancakeV3LmPool {
    using LowGasSafeMath for uint256;
    using LowGasSafeMath for int256;
    using SafeCast for uint256;
    using SafeCast for int256;
    using LmTick for mapping(int24 => LmTick.Info);
    uint256 public constant REWARD_PRECISION = 1e12;
    IPancakeV3Pool public immutable pool;
    IMasterChefV3 public immutable masterChef;
    // The first version LMPool.
    ILMPool public immutable firstLMPool;
    // The second version LMPool.
    ILMPool public immutable secondLMPool;
    // The third version LMPool.
    ILMPool public immutable thirdLMPool;
    mapping(int24 => bool) public lmTicksFlag;
    uint256 public rewardGrowthGlobalX128;
    mapping(int24 => LmTick.Info) public lmTicks;
    uint128 public lmLiquidity;
    uint32 public lastRewardTimestamp;
    // Need to initialize the LMPool when first call from v3 pool or MCV3.
    bool public initialization;
    // Record the first negative RewardGrowthInside value.
    mapping(int24 => mapping(int24 => uint256)) public negativeRewardGrowthInsideInitValue;
    // Read old negativeRewardGrowthInsideInitValue data from thirdLMPool.
    mapping(int24 => mapping(int24 => bool)) public checkThirdLMPool;
    modifier onlyPool() {
        require(msg.sender == address(pool), 'Not pool');
        _;
    }
    modifier onlyMasterChef() {
        require(msg.sender == address(masterChef), 'Not MC');
        _;
    }
    modifier onlyPoolOrMasterChef() {
        require(msg.sender == address(pool) || msg.sender == address(masterChef), 'Not pool or MC');
        _;
    }
    constructor() {
        (
            address poolAddress,
            address masterChefAddress,
            address firstLMPoolAddress,
            address secondLMPoolAddress,
            address thirdLMPoolAddress
        ) = IPancakeV3LmPoolDeveloper(msg.sender).parameters();
        pool = IPancakeV3Pool(poolAddress);
        masterChef = IMasterChefV3(masterChefAddress);
        lastRewardTimestamp = uint32(block.timestamp);
        firstLMPool = ILMPool(firstLMPoolAddress);
        secondLMPool = ILMPool(secondLMPoolAddress);
        thirdLMPool = ILMPool(thirdLMPoolAddress);
    }
    /// @notice Will trigger this once when the first call from MasterChefV3 or V3 pool,
    /// this will update the latest global information from old LMPool.
    /// Because we will deploy new LMPool and set LMPool in v3 pool in the same transaction, so we can call initialize at the same tx.
    function initialize() external override {
        if (!initialization) {
            initialization = true;
            rewardGrowthGlobalX128 = thirdLMPool.rewardGrowthGlobalX128();
            lmLiquidity = thirdLMPool.lmLiquidity();
            lastRewardTimestamp = thirdLMPool.lastRewardTimestamp();
        }
    }
    function _getLMTicks(int24 tick) internal view returns (LmTick.Info memory info) {
        // When tick had updated in thirdLMPool , read tick info from third LMPool, or read from second LMPool , if not , read from firstLMPool.
        if (thirdLMPool.lmTicksFlag(tick)) {
            (info.liquidityGross, info.liquidityNet, info.rewardGrowthOutsideX128) = thirdLMPool.lmTicks(tick);
        } else if (secondLMPool.lmTicksFlag(tick)) {
            (info.liquidityGross, info.liquidityNet, info.rewardGrowthOutsideX128) = secondLMPool.lmTicks(tick);
        } else {
            (info.liquidityGross, info.liquidityNet, info.rewardGrowthOutsideX128) = firstLMPool.lmTicks(tick);
        }
    }
    /// @notice Update tick information from old LMPool when need to update the tick information at the first time.
    /// @dev Old LMPool ticks information can be compatible.
    function _updateLMTicks(int24 tick) internal {
        if (!lmTicksFlag[tick]) {
            lmTicksFlag[tick] = true;
            lmTicks[tick] = _getLMTicks(tick);
        }
    }
    function accumulateReward(uint32 currTimestamp) external override onlyPoolOrMasterChef {
        if (currTimestamp <= lastRewardTimestamp) {
            return;
        }
        if (lmLiquidity != 0) {
            (uint256 rewardPerSecond, uint256 endTime) = masterChef.getLatestPeriodInfo(address(pool));
            uint32 endTimestamp = uint32(endTime);
            uint32 duration;
            if (endTimestamp > currTimestamp) {
                duration = currTimestamp - lastRewardTimestamp;
            } else if (endTimestamp > lastRewardTimestamp) {
                duration = endTimestamp - lastRewardTimestamp;
            }
            if (duration != 0) {
                rewardGrowthGlobalX128 += FullMath.mulDiv(
                    duration,
                    FullMath.mulDiv(rewardPerSecond, FixedPoint128.Q128, REWARD_PRECISION),
                    lmLiquidity
                );
            }
        }
        lastRewardTimestamp = currTimestamp;
    }
    function crossLmTick(int24 tick, bool zeroForOne) external override onlyPool {
        // Update the lmTicks state from the secondLMPool.
        _updateLMTicks(tick);
        if (lmTicks[tick].liquidityGross == 0) {
            return;
        }
        int128 lmLiquidityNet = lmTicks.cross(tick, rewardGrowthGlobalX128);
        if (zeroForOne) {
            lmLiquidityNet = -lmLiquidityNet;
        }
        lmLiquidity = LiquidityMath.addDelta(lmLiquidity, lmLiquidityNet);
    }
    /// @notice Get the current negativeRewardGrowthInsideInitValue based on all old LMPools.
    function _getNegativeRewardGrowthInsideInitValue(
        int24 tickLower,
        int24 tickUpper
    ) internal view returns (uint256 initValue) {
        // If already chekced third LMPool , use current negativeRewardGrowthInsideInitValue.
        if (checkThirdLMPool[tickLower][tickUpper]) {
            initValue = negativeRewardGrowthInsideInitValue[tickLower][tickUpper];
        } else {
            bool checkSecondLMPoolFlagInThirdLMPool = thirdLMPool.checkSecondLMPool(tickLower, tickUpper);
            // If already checked second LMPool , use third LMPool negativeRewardGrowthInsideInitValue.
            if (checkSecondLMPoolFlagInThirdLMPool) {
                initValue = thirdLMPool.negativeRewardGrowthInsideInitValue(tickLower, tickUpper);
            } else {
                // If not checked second LMPool , use second LMPool negativeRewardGrowthInsideInitValue.
                initValue = secondLMPool.negativeRewardGrowthInsideInitValue(tickLower, tickUpper);
            }
        }
    }
    /// @notice This will check the whether the range RewardGrowthInside is negative when the range ticks were initialized.
    /// @dev This is for fixing the issues that rewardGrowthInsideX128 can be underflow on purpose.
    /// If the rewardGrowthInsideX128 is negative , we will process it as a positive number.
    /// Because the RewardGrowthInside is self-incrementing, so we record the initial value as zero point.
    function _checkNegativeRewardGrowthInside(int24 tickLower, int24 tickUpper) internal {
        (uint256 rewardGrowthInsideX128, bool isNegative) = _getRewardGrowthInsideInternal(tickLower, tickUpper);
        uint256 initValue = _getNegativeRewardGrowthInsideInitValue(tickLower, tickUpper);
        // Only need to check third LMPool once , and initialize negativeRewardGrowthInsideInitValue.
        if (!checkThirdLMPool[tickLower][tickUpper]) {
            checkThirdLMPool[tickLower][tickUpper] = true;
            negativeRewardGrowthInsideInitValue[tickLower][tickUpper] = initValue;
        }
        if (isNegative) {
            if (initValue == 0 || initValue > rewardGrowthInsideX128) {
                negativeRewardGrowthInsideInitValue[tickLower][tickUpper] = rewardGrowthInsideX128;
            }
        }
    }
    /// @notice Need to rest Negative Tick info when tick flipped.
    function _clearNegativeTickInfo(int24 tickLower, int24 tickUpper) internal {
        negativeRewardGrowthInsideInitValue[tickLower][tickUpper] = 0;
        // No need to check thirdLMPool after tick flipped.
        if (!checkThirdLMPool[tickLower][tickUpper]) checkThirdLMPool[tickLower][tickUpper] = true;
    }
    function updatePosition(int24 tickLower, int24 tickUpper, int128 liquidityDelta) external onlyMasterChef {
        // Update the lmTicks state from the secondLMPool.
        _updateLMTicks(tickLower);
        _updateLMTicks(tickUpper);
        (, int24 tick, , , , , ) = pool.slot0();
        uint128 maxLiquidityPerTick = pool.maxLiquidityPerTick();
        uint256 _rewardGrowthGlobalX128 = rewardGrowthGlobalX128;
        bool flippedLower;
        bool flippedUpper;
        if (liquidityDelta != 0) {
            flippedLower = lmTicks.update(
                tickLower,
                tick,
                liquidityDelta,
                _rewardGrowthGlobalX128,
                false,
                maxLiquidityPerTick
            );
            flippedUpper = lmTicks.update(
                tickUpper,
                tick,
                liquidityDelta,
                _rewardGrowthGlobalX128,
                true,
                maxLiquidityPerTick
            );
        }
        if (tick >= tickLower && tick < tickUpper) {
            lmLiquidity = LiquidityMath.addDelta(lmLiquidity, liquidityDelta);
        }
        if (liquidityDelta < 0) {
            if (flippedLower) {
                lmTicks.clear(tickLower);
            }
            if (flippedUpper) {
                lmTicks.clear(tickUpper);
            }
        }
        // Need to rest Negative Tick info when tick flipped.
        if (liquidityDelta < 0 && (flippedLower || flippedUpper)) {
            _clearNegativeTickInfo(tickLower, tickUpper);
        } else {
            _checkNegativeRewardGrowthInside(tickLower, tickUpper);
        }
    }
    function getRewardGrowthInside(
        int24 tickLower,
        int24 tickUpper
    ) external view returns (uint256 rewardGrowthInsideX128) {
        (rewardGrowthInsideX128, ) = _getRewardGrowthInsideInternal(tickLower, tickUpper);
        uint256 initValue = _getNegativeRewardGrowthInsideInitValue(tickLower, tickUpper);
        rewardGrowthInsideX128 = rewardGrowthInsideX128 - initValue;
    }
    function _getRewardGrowthInsideInternal(
        int24 tickLower,
        int24 tickUpper
    ) internal view returns (uint256 rewardGrowthInsideX128, bool isNegative) {
        (, int24 tick, , , , , ) = pool.slot0();
        LmTick.Info memory lower;
        if (lmTicksFlag[tickLower]) {
            lower = lmTicks[tickLower];
        } else {
            lower = _getLMTicks(tickLower);
        }
        LmTick.Info memory upper;
        if (lmTicksFlag[tickUpper]) {
            upper = lmTicks[tickUpper];
        } else {
            upper = _getLMTicks(tickUpper);
        }
        // calculate reward growth below
        uint256 rewardGrowthBelowX128;
        if (tick >= tickLower) {
            rewardGrowthBelowX128 = lower.rewardGrowthOutsideX128;
        } else {
            rewardGrowthBelowX128 = rewardGrowthGlobalX128 - lower.rewardGrowthOutsideX128;
        }
        // calculate reward growth above
        uint256 rewardGrowthAboveX128;
        if (tick < tickUpper) {
            rewardGrowthAboveX128 = upper.rewardGrowthOutsideX128;
        } else {
            rewardGrowthAboveX128 = rewardGrowthGlobalX128 - upper.rewardGrowthOutsideX128;
        }
        rewardGrowthInsideX128 = rewardGrowthGlobalX128 - rewardGrowthBelowX128 - rewardGrowthAboveX128;
        isNegative = (rewardGrowthBelowX128 + rewardGrowthAboveX128) > rewardGrowthGlobalX128;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)
pragma solidity ^0.8.0;
import "../utils/Context.sol";
/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;
    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor() {
        _transferOwnership(_msgSender());
    }
    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        _checkOwner();
        _;
    }
    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }
    /**
     * @dev Throws if the sender is not the owner.
     */
    function _checkOwner() internal view virtual {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
    }
    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        _transferOwnership(address(0));
    }
    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        _transferOwnership(newOwner);
    }
    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual {
        address oldOwner = _owner;
        _owner = newOwner;
        emit OwnershipTransferred(oldOwner, newOwner);
    }
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (security/ReentrancyGuard.sol)
pragma solidity ^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() {
        _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 making it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        _nonReentrantBefore();
        _;
        _nonReentrantAfter();
    }
    function _nonReentrantBefore() private {
        // On the first call to nonReentrant, _status will be _NOT_ENTERED
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");
        // Any calls to nonReentrant after this point will fail
        _status = _ENTERED;
    }
    function _nonReentrantAfter() private {
        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = _NOT_ENTERED;
    }
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/draft-IERC20Permit.sol)
pragma solidity ^0.8.0;
/**
 * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 */
interface IERC20Permit {
    /**
     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
     * given ``owner``'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;
    /**
     * @dev Returns the current nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases ``owner``'s nonce by one. This
     * prevents a signature from being used multiple times.
     */
    function nonces(address owner) external view returns (uint256);
    /**
     * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view returns (bytes32);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)
pragma solidity ^0.8.0;
/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @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);
    /**
     * @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 `to`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address to, 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 `from` to `to` 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 from,
        address to,
        uint256 amount
    ) external returns (bool);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC20/utils/SafeERC20.sol)
pragma solidity ^0.8.0;
import "../IERC20.sol";
import "../extensions/draft-IERC20Permit.sol";
import "../../../utils/Address.sol";
/**
 * @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 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'
        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) + value;
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }
    function safeDecreaseAllowance(
        IERC20 token,
        address spender,
        uint256 value
    ) internal {
        unchecked {
            uint256 oldAllowance = token.allowance(address(this), spender);
            require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
            uint256 newAllowance = oldAllowance - value;
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
        }
    }
    function safePermit(
        IERC20Permit token,
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        uint256 nonceBefore = token.nonces(owner);
        token.permit(owner, spender, value, deadline, v, r, s);
        uint256 nonceAfter = token.nonces(owner);
        require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
    }
    /**
     * @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
            require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
        }
    }
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/IERC721.sol)
pragma solidity ^0.8.0;
import "../../utils/introspection/IERC165.sol";
/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721 is IERC165 {
    /**
     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
     */
    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);
    /**
     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
     */
    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);
    /**
     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
     */
    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
    /**
     * @dev Returns the number of tokens in ``owner``'s account.
     */
    function balanceOf(address owner) external view returns (uint256 balance);
    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) external view returns (address owner);
    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId,
        bytes calldata data
    ) external;
    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;
    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(
        address from,
        address to,
        uint256 tokenId
    ) external;
    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;
    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool _approved) external;
    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);
    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/Address.sol)
pragma solidity ^0.8.1;
/**
 * @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
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.
        return account.code.length > 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");
        (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 functionCallWithValue(target, data, 0, "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");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, 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) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, 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) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }
    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }
    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }
    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // 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
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)
pragma solidity ^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 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) {
        return msg.sender;
    }
    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)
pragma solidity ^0.8.0;
/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.10;
/**
 * @notice This codes were copied from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/token/ERC721/extensions/ERC721Enumerable.sol, and did some changes.
 * @dev This implements an optional extension of defined in the EIP that adds
 * enumerability of all the token ids in the contract as well as all token ids owned by each
 * account.
 */
abstract contract Enumerable {
    // Mapping owner address to token count
    mapping(address => uint256) private _balances;
    // Mapping from owner to list of owned token IDs
    mapping(address => mapping(uint256 => uint256)) private _ownedTokens;
    // Mapping from token ID to index of the owner tokens list
    mapping(uint256 => uint256) private _ownedTokensIndex;
    function tokenOfOwnerByIndex(address owner, uint256 index) public view returns (uint256) {
        require(index < _balances[owner], "Enumerable: owner index out of bounds");
        return _ownedTokens[owner][index];
    }
    function balanceOf(address owner) public view returns (uint256) {
        require(owner != address(0), "Enumerable: address zero is not a valid owner");
        return _balances[owner];
    }
    function addToken(address from, uint256 tokenId) internal {
        _addTokenToOwnerEnumeration(from, tokenId);
        unchecked {
            _balances[from] += 1;
        }
    }
    function removeToken(address from, uint256 tokenId) internal {
        _removeTokenFromOwnerEnumeration(from, tokenId);
        unchecked {
            _balances[from] -= 1;
        }
    }
    /**
     * @dev Private function to add a token to this extension's ownership-tracking data structures.
     * @param to address representing the new owner of the given token ID
     * @param tokenId uint256 ID of the token to be added to the tokens list of the given address
     */
    function _addTokenToOwnerEnumeration(address to, uint256 tokenId) private {
        uint256 length = _balances[to];
        _ownedTokens[to][length] = tokenId;
        _ownedTokensIndex[tokenId] = length;
    }
    /**
     * @dev Private function to remove a token from this extension's ownership-tracking data structures. Note that
     * while the token is not assigned a new owner, the `_ownedTokensIndex` mapping is _not_ updated: this allows for
     * gas optimizations e.g. when performing a transfer operation (avoiding double writes).
     * This has O(1) time complexity, but alters the order of the _ownedTokens array.
     * @param from address representing the previous owner of the given token ID
     * @param tokenId uint256 ID of the token to be removed from the tokens list of the given address
     */
    function _removeTokenFromOwnerEnumeration(address from, uint256 tokenId) private {
        // To prevent a gap in from's tokens array, we store the last token in the index of the token to delete, and
        // then delete the last slot (swap and pop).
        uint256 lastTokenIndex = _balances[from] - 1;
        uint256 tokenIndex = _ownedTokensIndex[tokenId];
        require(tokenId == _ownedTokens[from][tokenIndex], "Invalid tokenId");
        // When the token to delete is the last token, the swap operation is unnecessary
        if (tokenIndex != lastTokenIndex) {
            uint256 lastTokenId = _ownedTokens[from][lastTokenIndex];
            _ownedTokens[from][tokenIndex] = lastTokenId; // Move the last token to the slot of the to-delete token
            _ownedTokensIndex[lastTokenId] = tokenIndex; // Update the moved token's index
        }
        // This also deletes the contents at the last position of the array
        delete _ownedTokensIndex[tokenId];
        delete _ownedTokens[from][lastTokenIndex];
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.10;
interface IFarmBooster {
    function getUserMultiplier(uint256 _tokenId) external view returns (uint256);
    function whiteList(uint256 _pid) external view returns (bool);
    function updatePositionBoostMultiplier(uint256 _tokenId) external returns (uint256 _multiplier);
    function removeBoostMultiplier(address _user, uint256 _tokenId, uint256 _pid) external;
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.10;
interface ILMPool {
    function updatePosition(int24 tickLower, int24 tickUpper, int128 liquidityDelta) external;
    function getRewardGrowthInside(
        int24 tickLower,
        int24 tickUpper
    ) external view returns (uint256 rewardGrowthInsideX128);
    function accumulateReward(uint32 currTimestamp) external;
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.10;
import "./IPancakeV3Pool.sol";
import "./ILMPool.sol";
interface ILMPoolDeployer {
    function deploy(IPancakeV3Pool pool) external returns (ILMPool lmPool);
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.10;
interface IMasterChefV2 {
    function deposit(uint256 _pid, uint256 _amount) external;
    function withdraw(uint256 _pid, uint256 _amount) external;
    function pendingCake(uint256 _pid, address _user) external view returns (uint256);
    function userInfo(uint256 _pid, address _user) external view returns (uint256, uint256, uint256);
    function emergencyWithdraw(uint256 _pid) external;
    function updateBoostMultiplier(address _user, uint256 _pid, uint256 _newBoostMulti) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.10;
import "@openzeppelin/contracts/token/ERC721/IERC721.sol";
import "./INonfungiblePositionManagerStruct.sol";
interface INonfungiblePositionManager is INonfungiblePositionManagerStruct, IERC721 {
    /// @notice Returns the position information associated with a given token ID.
    /// @dev Throws if the token ID is not valid.
    /// @param tokenId The ID of the token that represents the position
    /// @return nonce The nonce for permits
    /// @return operator The address that is approved for spending
    /// @return token0 The address of the token0 for a specific pool
    /// @return token1 The address of the token1 for a specific pool
    /// @return fee The fee associated with the pool
    /// @return tickLower The lower end of the tick range for the position
    /// @return tickUpper The higher end of the tick range for the position
    /// @return liquidity The liquidity of the position
    /// @return feeGrowthInside0LastX128 The fee growth of token0 as of the last action on the individual position
    /// @return feeGrowthInside1LastX128 The fee growth of token1 as of the last action on the individual position
    /// @return tokensOwed0 The uncollected amount of token0 owed to the position as of the last computation
    /// @return tokensOwed1 The uncollected amount of token1 owed to the position as of the last computation
    function positions(
        uint256 tokenId
    )
        external
        view
        returns (
            uint96 nonce,
            address operator,
            address token0,
            address token1,
            uint24 fee,
            int24 tickLower,
            int24 tickUpper,
            uint128 liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );
    /// @notice Increases the amount of liquidity in a position, with tokens paid by the `msg.sender`
    /// @param params tokenId The ID of the token for which liquidity is being increased,
    /// amount0Desired The desired amount of token0 to be spent,
    /// amount1Desired The desired amount of token1 to be spent,
    /// amount0Min The minimum amount of token0 to spend, which serves as a slippage check,
    /// amount1Min The minimum amount of token1 to spend, which serves as a slippage check,
    /// deadline The time by which the transaction must be included to effect the change
    /// @return liquidity The new liquidity amount as a result of the increase
    /// @return amount0 The amount of token0 to acheive resulting liquidity
    /// @return amount1 The amount of token1 to acheive resulting liquidity
    function increaseLiquidity(
        IncreaseLiquidityParams calldata params
    ) external payable returns (uint128 liquidity, uint256 amount0, uint256 amount1);
    /// @notice Decreases the amount of liquidity in a position and accounts it to the position
    /// @param params tokenId The ID of the token for which liquidity is being decreased,
    /// amount The amount by which liquidity will be decreased,
    /// amount0Min The minimum amount of token0 that should be accounted for the burned liquidity,
    /// amount1Min The minimum amount of token1 that should be accounted for the burned liquidity,
    /// deadline The time by which the transaction must be included to effect the change
    /// @return amount0 The amount of token0 accounted to the position's tokens owed
    /// @return amount1 The amount of token1 accounted to the position's tokens owed
    function decreaseLiquidity(
        DecreaseLiquidityParams calldata params
    ) external payable returns (uint256 amount0, uint256 amount1);
    /// @notice Collects up to a maximum amount of fees owed to a specific position to the recipient
    /// @param params tokenId The ID of the NFT for which tokens are being collected,
    /// recipient The account that should receive the tokens,
    /// amount0Max The maximum amount of token0 to collect,
    /// amount1Max The maximum amount of token1 to collect
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(CollectParams calldata params) external payable returns (uint256 amount0, uint256 amount1);
    /// @notice Burns a token ID, which deletes it from the NFT contract. The token must have 0 liquidity and all tokens
    /// must be collected first.
    /// @param tokenId The ID of the token that is being burned
    function burn(uint256 tokenId) external payable;
    function refundETH() external payable;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.10;
interface INonfungiblePositionManagerStruct {
    struct IncreaseLiquidityParams {
        uint256 tokenId;
        uint256 amount0Desired;
        uint256 amount1Desired;
        uint256 amount0Min;
        uint256 amount1Min;
        uint256 deadline;
    }
    struct DecreaseLiquidityParams {
        uint256 tokenId;
        uint128 liquidity;
        uint256 amount0Min;
        uint256 amount1Min;
        uint256 deadline;
    }
    struct CollectParams {
        uint256 tokenId;
        address recipient;
        uint128 amount0Max;
        uint128 amount1Max;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.10;
interface IPancakeV3Pool {
    function factory() external view returns (address);
    function token0() external view returns (address);
    function token1() external view returns (address);
    function fee() external view returns (uint24);
    function lmPool() external view returns (address);
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.10;
import "@openzeppelin/contracts/token/ERC20/IERC20.sol";
/// @title Interface for WETH9
interface IWETH is IERC20 {
    /// @notice Deposit ether to get wrapped ether
    function deposit() external payable;
    /// @notice Withdraw wrapped ether to get ether
    function withdraw(uint256) external;
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.10;
/**
 * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such 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.
 *
 * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
 * all math on `uint256` and `int256` and then downcasting.
 */
library SafeCast {
    /**
     * @dev Returns the downcasted uint128 from uint256, reverting on
     * overflow (when the input is greater than largest uint128).
     *
     * Counterpart to Solidity's `uint128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     */
    function toUint128(uint256 value) internal pure returns (uint128) {
        require(value < 2 ** 128, "SafeCast: value doesn't fit in 128 bits");
        return uint128(value);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.10;
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/security/ReentrancyGuard.sol";
import "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import "./libraries/SafeCast.sol";
import "./interfaces/INonfungiblePositionManager.sol";
import "./interfaces/INonfungiblePositionManagerStruct.sol";
import "./interfaces/IPancakeV3Pool.sol";
import "./interfaces/IMasterChefV2.sol";
import "./interfaces/ILMPool.sol";
import "./interfaces/ILMPoolDeployer.sol";
import "./interfaces/IFarmBooster.sol";
import "./interfaces/IWETH.sol";
import "./utils/Multicall.sol";
import "./Enumerable.sol";
contract MasterChefV3 is INonfungiblePositionManagerStruct, Multicall, Ownable, ReentrancyGuard, Enumerable {
    using SafeERC20 for IERC20;
    using SafeCast for uint256;
    struct PoolInfo {
        uint256 allocPoint;
        // V3 pool address
        IPancakeV3Pool v3Pool;
        // V3 pool token0 address
        address token0;
        // V3 pool token1 address
        address token1;
        // V3 pool fee
        uint24 fee;
        // total liquidity staking in the pool
        uint256 totalLiquidity;
        // total boost liquidity staking in the pool
        uint256 totalBoostLiquidity;
    }
    struct UserPositionInfo {
        uint128 liquidity;
        uint128 boostLiquidity;
        int24 tickLower;
        int24 tickUpper;
        uint256 rewardGrowthInside;
        uint256 reward;
        address user;
        uint256 pid;
        uint256 boostMultiplier;
    }
    uint256 public poolLength;
    /// @notice Info of each MCV3 pool.
    mapping(uint256 => PoolInfo) public poolInfo;
    /// @notice userPositionInfos[tokenId] => UserPositionInfo
    /// @dev TokenId is unique, and we can query the pid by tokenId.
    mapping(uint256 => UserPositionInfo) public userPositionInfos;
    /// @notice v3PoolPid[token0][token1][fee] => pid
    mapping(address => mapping(address => mapping(uint24 => uint256))) v3PoolPid;
    /// @notice v3PoolAddressPid[v3PoolAddress] => pid
    mapping(address => uint256) public v3PoolAddressPid;
    /// @notice Address of CAKE contract.
    IERC20 public immutable CAKE;
    /// @notice Address of WETH contract.
    address public immutable WETH;
    /// @notice Address of Receiver contract.
    address public receiver;
    INonfungiblePositionManager public immutable nonfungiblePositionManager;
    /// @notice Address of liquidity mining pool deployer contract.
    ILMPoolDeployer public LMPoolDeployer;
    /// @notice Address of farm booster contract.
    IFarmBooster public FARM_BOOSTER;
    /// @notice Only use for emergency situations.
    bool public emergency;
    /// @notice Total allocation points. Must be the sum of all pools' allocation points.
    uint256 public totalAllocPoint;
    uint256 public latestPeriodNumber;
    uint256 public latestPeriodStartTime;
    uint256 public latestPeriodEndTime;
    uint256 public latestPeriodCakePerSecond;
    /// @notice Address of the operator.
    address public operatorAddress;
    /// @notice Default period duration.
    uint256 public PERIOD_DURATION = 1 days;
    uint256 public constant MAX_DURATION = 30 days;
    uint256 public constant MIN_DURATION = 1 days;
    uint256 public constant PRECISION = 1e12;
    /// @notice Basic boost factor, none boosted user's boost factor
    uint256 public constant BOOST_PRECISION = 100 * 1e10;
    /// @notice Hard limit for maxmium boost factor, it must greater than BOOST_PRECISION
    uint256 public constant MAX_BOOST_PRECISION = 200 * 1e10;
    uint256 constant Q128 = 0x100000000000000000000000000000000;
    uint256 constant MAX_U256 = type(uint256).max;
    /// @notice Record the cake amount belong to MasterChefV3.
    uint256 public cakeAmountBelongToMC;
    error ZeroAddress();
    error NotOwnerOrOperator();
    error NoBalance();
    error NotPancakeNFT();
    error InvalidNFT();
    error NotOwner();
    error NoLiquidity();
    error InvalidPeriodDuration();
    error NoLMPool();
    error InvalidPid();
    error DuplicatedPool(uint256 pid);
    error NotEmpty();
    error WrongReceiver();
    error InconsistentAmount();
    error InsufficientAmount();
    event AddPool(uint256 indexed pid, uint256 allocPoint, IPancakeV3Pool indexed v3Pool, ILMPool indexed lmPool);
    event SetPool(uint256 indexed pid, uint256 allocPoint);
    event Deposit(
        address indexed from,
        uint256 indexed pid,
        uint256 indexed tokenId,
        uint256 liquidity,
        int24 tickLower,
        int24 tickUpper
    );
    event Withdraw(address indexed from, address to, uint256 indexed pid, uint256 indexed tokenId);
    event UpdateLiquidity(
        address indexed from,
        uint256 indexed pid,
        uint256 indexed tokenId,
        int128 liquidity,
        int24 tickLower,
        int24 tickUpper
    );
    event NewOperatorAddress(address operator);
    event NewLMPoolDeployerAddress(address deployer);
    event NewReceiver(address receiver);
    event NewPeriodDuration(uint256 periodDuration);
    event Harvest(address indexed sender, address to, uint256 indexed pid, uint256 indexed tokenId, uint256 reward);
    event NewUpkeepPeriod(
        uint256 indexed periodNumber,
        uint256 startTime,
        uint256 endTime,
        uint256 cakePerSecond,
        uint256 cakeAmount
    );
    event UpdateUpkeepPeriod(
        uint256 indexed periodNumber,
        uint256 oldEndTime,
        uint256 newEndTime,
        uint256 remainingCake
    );
    event UpdateFarmBoostContract(address indexed farmBoostContract);
    event SetEmergency(bool emergency);
    modifier onlyOwnerOrOperator() {
        if (msg.sender != operatorAddress && msg.sender != owner()) revert NotOwnerOrOperator();
        _;
    }
    modifier onlyValidPid(uint256 _pid) {
        if (_pid == 0 || _pid > poolLength) revert InvalidPid();
        _;
    }
    modifier onlyReceiver() {
        require(receiver == msg.sender, "Not receiver");
        _;
    }
    /**
     * @dev Throws if caller is not the boost contract.
     */
    modifier onlyBoostContract() {
        require(address(FARM_BOOSTER) == msg.sender, "Not farm boost contract");
        _;
    }
    /// @param _CAKE The CAKE token contract address.
    /// @param _nonfungiblePositionManager the NFT position manager contract address.
    constructor(IERC20 _CAKE, INonfungiblePositionManager _nonfungiblePositionManager, address _WETH) {
        CAKE = _CAKE;
        nonfungiblePositionManager = _nonfungiblePositionManager;
        WETH = _WETH;
    }
    /// @notice Returns the cake per second , period end time.
    /// @param _pid The pool pid.
    /// @return cakePerSecond Cake reward per second.
    /// @return endTime Period end time.
    function getLatestPeriodInfoByPid(uint256 _pid) public view returns (uint256 cakePerSecond, uint256 endTime) {
        if (totalAllocPoint > 0) {
            cakePerSecond = (latestPeriodCakePerSecond * poolInfo[_pid].allocPoint) / totalAllocPoint;
        }
        endTime = latestPeriodEndTime;
    }
    /// @notice Returns the cake per second , period end time. This is for liquidity mining pool.
    /// @param _v3Pool Address of the V3 pool.
    /// @return cakePerSecond Cake reward per second.
    /// @return endTime Period end time.
    function getLatestPeriodInfo(address _v3Pool) public view returns (uint256 cakePerSecond, uint256 endTime) {
        if (totalAllocPoint > 0) {
            cakePerSecond =
                (latestPeriodCakePerSecond * poolInfo[v3PoolAddressPid[_v3Pool]].allocPoint) /
                totalAllocPoint;
        }
        endTime = latestPeriodEndTime;
    }
    /// @notice View function for checking pending CAKE rewards.
    /// @dev The pending cake amount is based on the last state in LMPool. The actual amount will happen whenever liquidity changes or harvest.
    /// @param _tokenId Token Id of NFT.
    /// @return reward Pending reward.
    function pendingCake(uint256 _tokenId) external view returns (uint256 reward) {
        UserPositionInfo memory positionInfo = userPositionInfos[_tokenId];
        if (positionInfo.pid != 0) {
            PoolInfo memory pool = poolInfo[positionInfo.pid];
            ILMPool LMPool = ILMPool(pool.v3Pool.lmPool());
            if (address(LMPool) != address(0)) {
                uint256 rewardGrowthInside = LMPool.getRewardGrowthInside(
                    positionInfo.tickLower,
                    positionInfo.tickUpper
                );
                if (
                    rewardGrowthInside > positionInfo.rewardGrowthInside &&
                    MAX_U256 / (rewardGrowthInside - positionInfo.rewardGrowthInside) > positionInfo.boostLiquidity
                )
                    reward =
                        ((rewardGrowthInside - positionInfo.rewardGrowthInside) * positionInfo.boostLiquidity) /
                        Q128;
            }
            reward += positionInfo.reward;
        }
    }
    /// @notice For emergency use only.
    function setEmergency(bool _emergency) external onlyOwner {
        emergency = _emergency;
        emit SetEmergency(emergency);
    }
    function setReceiver(address _receiver) external onlyOwner {
        if (_receiver == address(0)) revert ZeroAddress();
        if (CAKE.allowance(_receiver, address(this)) != type(uint256).max) revert();
        receiver = _receiver;
        emit NewReceiver(_receiver);
    }
    function setLMPoolDeployer(ILMPoolDeployer _LMPoolDeployer) external onlyOwner {
        if (address(_LMPoolDeployer) == address(0)) revert ZeroAddress();
        LMPoolDeployer = _LMPoolDeployer;
        emit NewLMPoolDeployerAddress(address(_LMPoolDeployer));
    }
    /// @notice Add a new pool. Can only be called by the owner.
    /// @notice One v3 pool can only create one pool.
    /// @param _allocPoint Number of allocation points for the new pool.
    /// @param _v3Pool Address of the V3 pool.
    /// @param _withUpdate Whether call "massUpdatePools" operation.
    function add(uint256 _allocPoint, IPancakeV3Pool _v3Pool, bool _withUpdate) external onlyOwner {
        if (_withUpdate) massUpdatePools();
        ILMPool lmPool = LMPoolDeployer.deploy(_v3Pool);
        totalAllocPoint += _allocPoint;
        address token0 = _v3Pool.token0();
        address token1 = _v3Pool.token1();
        uint24 fee = _v3Pool.fee();
        if (v3PoolPid[token0][token1][fee] != 0) revert DuplicatedPool(v3PoolPid[token0][token1][fee]);
        if (IERC20(token0).allowance(address(this), address(nonfungiblePositionManager)) == 0)
            IERC20(token0).safeApprove(address(nonfungiblePositionManager), type(uint256).max);
        if (IERC20(token1).allowance(address(this), address(nonfungiblePositionManager)) == 0)
            IERC20(token1).safeApprove(address(nonfungiblePositionManager), type(uint256).max);
        unchecked {
            poolLength++;
        }
        poolInfo[poolLength] = PoolInfo({
            allocPoint: _allocPoint,
            v3Pool: _v3Pool,
            token0: token0,
            token1: token1,
            fee: fee,
            totalLiquidity: 0,
            totalBoostLiquidity: 0
        });
        v3PoolPid[token0][token1][fee] = poolLength;
        v3PoolAddressPid[address(_v3Pool)] = poolLength;
        emit AddPool(poolLength, _allocPoint, _v3Pool, lmPool);
    }
    /// @notice Update the given pool's CAKE allocation point. Can only be called by the owner.
    /// @param _pid The id of the pool. See `poolInfo`.
    /// @param _allocPoint New number of allocation points for the pool.
    /// @param _withUpdate Whether call "massUpdatePools" operation.
    function set(uint256 _pid, uint256 _allocPoint, bool _withUpdate) external onlyOwner onlyValidPid(_pid) {
        uint32 currentTime = uint32(block.timestamp);
        PoolInfo storage pool = poolInfo[_pid];
        ILMPool LMPool = ILMPool(pool.v3Pool.lmPool());
        if (address(LMPool) != address(0)) {
            LMPool.accumulateReward(currentTime);
        }
        if (_withUpdate) massUpdatePools();
        totalAllocPoint = totalAllocPoint - pool.allocPoint + _allocPoint;
        pool.allocPoint = _allocPoint;
        emit SetPool(_pid, _allocPoint);
    }
    struct DepositCache {
        address token0;
        address token1;
        uint24 fee;
        int24 tickLower;
        int24 tickUpper;
        uint128 liquidity;
    }
    /// @notice Upon receiving a ERC721
    function onERC721Received(
        address,
        address _from,
        uint256 _tokenId,
        bytes calldata
    ) external nonReentrant returns (bytes4) {
        if (msg.sender != address(nonfungiblePositionManager)) revert NotPancakeNFT();
        DepositCache memory cache;
        (
            ,
            ,
            cache.token0,
            cache.token1,
            cache.fee,
            cache.tickLower,
            cache.tickUpper,
            cache.liquidity,
            ,
            ,
            ,
        ) = nonfungiblePositionManager.positions(_tokenId);
        if (cache.liquidity == 0) revert NoLiquidity();
        uint256 pid = v3PoolPid[cache.token0][cache.token1][cache.fee];
        if (pid == 0) revert InvalidNFT();
        PoolInfo memory pool = poolInfo[pid];
        ILMPool LMPool = ILMPool(pool.v3Pool.lmPool());
        if (address(LMPool) == address(0)) revert NoLMPool();
        UserPositionInfo storage positionInfo = userPositionInfos[_tokenId];
        positionInfo.tickLower = cache.tickLower;
        positionInfo.tickUpper = cache.tickUpper;
        positionInfo.user = _from;
        positionInfo.pid = pid;
        // Need to update LMPool.
        LMPool.accumulateReward(uint32(block.timestamp));
        updateLiquidityOperation(positionInfo, _tokenId, 0);
        positionInfo.rewardGrowthInside = LMPool.getRewardGrowthInside(cache.tickLower, cache.tickUpper);
        // Update Enumerable
        addToken(_from, _tokenId);
        emit Deposit(_from, pid, _tokenId, cache.liquidity, cache.tickLower, cache.tickUpper);
        return this.onERC721Received.selector;
    }
    /// @notice harvest cake from pool.
    /// @param _tokenId Token Id of NFT.
    /// @param _to Address to.
    /// @return reward Cake reward.
    function harvest(uint256 _tokenId, address _to) external nonReentrant returns (uint256 reward) {
        UserPositionInfo storage positionInfo = userPositionInfos[_tokenId];
        if (positionInfo.user != msg.sender) revert NotOwner();
        if (positionInfo.liquidity == 0 && positionInfo.reward == 0) revert NoLiquidity();
        reward = harvestOperation(positionInfo, _tokenId, _to);
    }
    function harvestOperation(
        UserPositionInfo storage positionInfo,
        uint256 _tokenId,
        address _to
    ) internal returns (uint256 reward) {
        PoolInfo memory pool = poolInfo[positionInfo.pid];
        ILMPool LMPool = ILMPool(pool.v3Pool.lmPool());
        if (address(LMPool) != address(0) && !emergency) {
            // Update rewardGrowthInside
            LMPool.accumulateReward(uint32(block.timestamp));
            uint256 rewardGrowthInside = LMPool.getRewardGrowthInside(positionInfo.tickLower, positionInfo.tickUpper);
            // Check overflow
            if (
                rewardGrowthInside > positionInfo.rewardGrowthInside &&
                MAX_U256 / (rewardGrowthInside - positionInfo.rewardGrowthInside) > positionInfo.boostLiquidity
            ) reward = ((rewardGrowthInside - positionInfo.rewardGrowthInside) * positionInfo.boostLiquidity) / Q128;
            positionInfo.rewardGrowthInside = rewardGrowthInside;
        }
        reward += positionInfo.reward;
        if (reward > 0) {
            if (_to != address(0)) {
                positionInfo.reward = 0;
                _safeTransfer(_to, reward);
                emit Harvest(msg.sender, _to, positionInfo.pid, _tokenId, reward);
            } else {
                positionInfo.reward = reward;
            }
        }
    }
    /// @notice Withdraw LP tokens from pool.
    /// @param _tokenId Token Id of NFT to deposit.
    /// @param _to Address to which NFT token to withdraw.
    /// @return reward Cake reward.
    function withdraw(uint256 _tokenId, address _to) external nonReentrant returns (uint256 reward) {
        if (_to == address(this) || _to == address(0)) revert WrongReceiver();
        UserPositionInfo storage positionInfo = userPositionInfos[_tokenId];
        if (positionInfo.user != msg.sender) revert NotOwner();
        reward = harvestOperation(positionInfo, _tokenId, _to);
        uint256 pid = positionInfo.pid;
        PoolInfo storage pool = poolInfo[pid];
        ILMPool LMPool = ILMPool(pool.v3Pool.lmPool());
        if (address(LMPool) != address(0) && !emergency) {
            // Remove all liquidity from liquidity mining pool.
            int128 liquidityDelta = -int128(positionInfo.boostLiquidity);
            LMPool.updatePosition(positionInfo.tickLower, positionInfo.tickUpper, liquidityDelta);
            emit UpdateLiquidity(
                msg.sender,
                pid,
                _tokenId,
                liquidityDelta,
                positionInfo.tickLower,
                positionInfo.tickUpper
            );
        }
        pool.totalLiquidity -= positionInfo.liquidity;
        pool.totalBoostLiquidity -= positionInfo.boostLiquidity;
        delete userPositionInfos[_tokenId];
        // Update Enumerable
        removeToken(msg.sender, _tokenId);
        // Remove boosted token id in farm booster.
        if (address(FARM_BOOSTER) != address(0)) FARM_BOOSTER.removeBoostMultiplier(msg.sender, _tokenId, pid);
        nonfungiblePositionManager.safeTransferFrom(address(this), _to, _tokenId);
        emit Withdraw(msg.sender, _to, pid, _tokenId);
    }
    /// @notice Update liquidity for the NFT position.
    /// @param _tokenId Token Id of NFT to update.
    function updateLiquidity(uint256 _tokenId) external nonReentrant {
        UserPositionInfo storage positionInfo = userPositionInfos[_tokenId];
        if (positionInfo.pid == 0) revert InvalidNFT();
        harvestOperation(positionInfo, _tokenId, address(0));
        updateLiquidityOperation(positionInfo, _tokenId, 0);
    }
    /// @notice Update farm boost multiplier for the NFT position.
    /// @param _tokenId Token Id of NFT to update.
    /// @param _newMultiplier New boost multiplier.
    function updateBoostMultiplier(uint256 _tokenId, uint256 _newMultiplier) external onlyBoostContract {
        UserPositionInfo storage positionInfo = userPositionInfos[_tokenId];
        if (positionInfo.pid == 0) revert InvalidNFT();
        harvestOperation(positionInfo, _tokenId, address(0));
        updateLiquidityOperation(positionInfo, _tokenId, _newMultiplier);
    }
    function updateLiquidityOperation(
        UserPositionInfo storage positionInfo,
        uint256 _tokenId,
        uint256 _newMultiplier
    ) internal {
        (, , , , , int24 tickLower, int24 tickUpper, uint128 liquidity, , , , ) = nonfungiblePositionManager.positions(
            _tokenId
        );
        PoolInfo storage pool = poolInfo[positionInfo.pid];
        if (positionInfo.liquidity != liquidity) {
            pool.totalLiquidity = pool.totalLiquidity - positionInfo.liquidity + liquidity;
            positionInfo.liquidity = liquidity;
        }
        uint256 boostMultiplier = BOOST_PRECISION;
        if (address(FARM_BOOSTER) != address(0) && _newMultiplier == 0) {
            // Get the latest boostMultiplier and update boostMultiplier in farm booster.
            boostMultiplier = FARM_BOOSTER.updatePositionBoostMultiplier(_tokenId);
        } else if (_newMultiplier != 0) {
            // Update boostMultiplier from farm booster call.
            boostMultiplier = _newMultiplier;
        }
        if (boostMultiplier < BOOST_PRECISION) {
            boostMultiplier = BOOST_PRECISION;
        } else if (boostMultiplier > MAX_BOOST_PRECISION) {
            boostMultiplier = MAX_BOOST_PRECISION;
        }
        positionInfo.boostMultiplier = boostMultiplier;
        uint128 boostLiquidity = ((uint256(liquidity) * boostMultiplier) / BOOST_PRECISION).toUint128();
        int128 liquidityDelta = int128(boostLiquidity) - int128(positionInfo.boostLiquidity);
        if (liquidityDelta != 0) {
            pool.totalBoostLiquidity = pool.totalBoostLiquidity - positionInfo.boostLiquidity + boostLiquidity;
            positionInfo.boostLiquidity = boostLiquidity;
            ILMPool LMPool = ILMPool(pool.v3Pool.lmPool());
            if (address(LMPool) == address(0)) revert NoLMPool();
            LMPool.updatePosition(tickLower, tickUpper, liquidityDelta);
            emit UpdateLiquidity(msg.sender, positionInfo.pid, _tokenId, liquidityDelta, tickLower, tickUpper);
        }
    }
    /// @notice Increases the amount of liquidity in a position, with tokens paid by the `msg.sender`
    /// @param params tokenId The ID of the token for which liquidity is being increased,
    /// amount0Desired The desired amount of token0 to be spent,
    /// amount1Desired The desired amount of token1 to be spent,
    /// amount0Min The minimum amount of token0 to spend, which serves as a slippage check,
    /// amount1Min The minimum amount of token1 to spend, which serves as a slippage check,
    /// deadline The time by which the transaction must be included to effect the change
    /// @return liquidity The new liquidity amount as a result of the increase
    /// @return amount0 The amount of token0 to acheive resulting liquidity
    /// @return amount1 The amount of token1 to acheive resulting liquidity
    function increaseLiquidity(
        IncreaseLiquidityParams memory params
    ) external payable nonReentrant returns (uint128 liquidity, uint256 amount0, uint256 amount1) {
        UserPositionInfo storage positionInfo = userPositionInfos[params.tokenId];
        if (positionInfo.pid == 0) revert InvalidNFT();
        PoolInfo memory pool = poolInfo[positionInfo.pid];
        pay(pool.token0, params.amount0Desired);
        pay(pool.token1, params.amount1Desired);
        if (pool.token0 != WETH && pool.token1 != WETH && msg.value > 0) revert();
        (liquidity, amount0, amount1) = nonfungiblePositionManager.increaseLiquidity{value: msg.value}(params);
        uint256 token0Left = params.amount0Desired - amount0;
        uint256 token1Left = params.amount1Desired - amount1;
        if (token0Left > 0) {
            refund(pool.token0, token0Left);
        }
        if (token1Left > 0) {
            refund(pool.token1, token1Left);
        }
        harvestOperation(positionInfo, params.tokenId, address(0));
        updateLiquidityOperation(positionInfo, params.tokenId, 0);
    }
    /// @notice Pay.
    /// @param _token The token to pay
    /// @param _amount The amount to pay
    function pay(address _token, uint256 _amount) internal {
        if (_token == WETH && msg.value > 0) {
            if (msg.value != _amount) revert InconsistentAmount();
        } else {
            IERC20(_token).safeTransferFrom(msg.sender, address(this), _amount);
        }
    }
    /// @notice Refund.
    /// @param _token The token to refund
    /// @param _amount The amount to refund
    function refund(address _token, uint256 _amount) internal {
        if (_token == WETH && msg.value > 0) {
            nonfungiblePositionManager.refundETH();
            safeTransferETH(msg.sender, address(this).balance);
        } else {
            IERC20(_token).safeTransfer(msg.sender, _amount);
        }
    }
    /// @notice Decreases the amount of liquidity in a position and accounts it to the position
    /// @param params tokenId The ID of the token for which liquidity is being decreased,
    /// amount The amount by which liquidity will be decreased,
    /// amount0Min The minimum amount of token0 that should be accounted for the burned liquidity,
    /// amount1Min The minimum amount of token1 that should be accounted for the burned liquidity,
    /// deadline The time by which the transaction must be included to effect the change
    /// @return amount0 The amount of token0 accounted to the position's tokens owed
    /// @return amount1 The amount of token1 accounted to the position's tokens owed
    function decreaseLiquidity(
        DecreaseLiquidityParams memory params
    ) external nonReentrant returns (uint256 amount0, uint256 amount1) {
        UserPositionInfo storage positionInfo = userPositionInfos[params.tokenId];
        if (positionInfo.user != msg.sender) revert NotOwner();
        (amount0, amount1) = nonfungiblePositionManager.decreaseLiquidity(params);
        harvestOperation(positionInfo, params.tokenId, address(0));
        updateLiquidityOperation(positionInfo, params.tokenId, 0);
    }
    /// @notice Collects up to a maximum amount of fees owed to a specific position to the recipient
    /// @param params tokenId The ID of the NFT for which tokens are being collected,
    /// recipient The account that should receive the tokens,
    /// @dev Warning!!! Please make sure to use multicall to call unwrapWETH9 or sweepToken when set recipient address(0), or you will lose your funds.
    /// amount0Max The maximum amount of token0 to collect,
    /// amount1Max The maximum amount of token1 to collect
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(CollectParams memory params) external nonReentrant returns (uint256 amount0, uint256 amount1) {
        UserPositionInfo memory positionInfo = userPositionInfos[params.tokenId];
        if (positionInfo.user != msg.sender) revert NotOwner();
        if (params.recipient == address(0)) params.recipient = address(this);
        (amount0, amount1) = nonfungiblePositionManager.collect(params);
    }
    /// @notice Collects up to a maximum amount of fees owed to a specific position to the recipient, then refund.
    /// @param params CollectParams.
    /// @param to Refund recipent.
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collectTo(
        CollectParams memory params,
        address to
    ) external nonReentrant returns (uint256 amount0, uint256 amount1) {
        UserPositionInfo memory positionInfo = userPositionInfos[params.tokenId];
        if (positionInfo.user != msg.sender) revert NotOwner();
        if (params.recipient == address(0)) params.recipient = address(this);
        (amount0, amount1) = nonfungiblePositionManager.collect(params);
        // Need to refund token to user when recipient is zero address
        if (params.recipient == address(this)) {
            PoolInfo memory pool = poolInfo[positionInfo.pid];
            if (to == address(0)) to = msg.sender;
            transferToken(pool.token0, to);
            transferToken(pool.token1, to);
        }
    }
    /// @notice Transfer token from MasterChef V3.
    /// @param _token The token to transfer.
    /// @param _to The to address.
    function transferToken(address _token, address _to) internal {
        uint256 balance = IERC20(_token).balanceOf(address(this));
        // Need to reduce cakeAmountBelongToMC.
        if (_token == address(CAKE)) {
            unchecked {
                // In fact balance should always be greater than or equal to cakeAmountBelongToMC, but in order to avoid any unknown issue, we added this check.
                if (balance >= cakeAmountBelongToMC) {
                    balance -= cakeAmountBelongToMC;
                } else {
                    // This should never happend.
                    cakeAmountBelongToMC = balance;
                    balance = 0;
                }
            }
        }
        if (balance > 0) {
            if (_token == WETH) {
                IWETH(WETH).withdraw(balance);
                safeTransferETH(_to, balance);
            } else {
                IERC20(_token).safeTransfer(_to, balance);
            }
        }
    }
    /// @notice Unwraps the contract's WETH9 balance and sends it to recipient as ETH.
    /// @dev The amountMinimum parameter prevents malicious contracts from stealing WETH9 from users.
    /// @param amountMinimum The minimum amount of WETH9 to unwrap
    /// @param recipient The address receiving ETH
    function unwrapWETH9(uint256 amountMinimum, address recipient) external nonReentrant {
        uint256 balanceWETH = IWETH(WETH).balanceOf(address(this));
        if (balanceWETH < amountMinimum) revert InsufficientAmount();
        if (balanceWETH > 0) {
            IWETH(WETH).withdraw(balanceWETH);
            safeTransferETH(recipient, balanceWETH);
        }
    }
    /// @notice Transfers the full amount of a token held by this contract to recipient
    /// @dev The amountMinimum parameter prevents malicious contracts from stealing the token from users
    /// @param token The contract address of the token which will be transferred to `recipient`
    /// @param amountMinimum The minimum amount of token required for a transfer
    /// @param recipient The destination address of the token
    function sweepToken(address token, uint256 amountMinimum, address recipient) external nonReentrant {
        uint256 balanceToken = IERC20(token).balanceOf(address(this));
        // Need to reduce cakeAmountBelongToMC.
        if (token == address(CAKE)) {
            unchecked {
                // In fact balance should always be greater than or equal to cakeAmountBelongToMC, but in order to avoid any unknown issue, we added this check.
                if (balanceToken >= cakeAmountBelongToMC) {
                    balanceToken -= cakeAmountBelongToMC;
                } else {
                    // This should never happend.
                    cakeAmountBelongToMC = balanceToken;
                    balanceToken = 0;
                }
            }
        }
        if (balanceToken < amountMinimum) revert InsufficientAmount();
        if (balanceToken > 0) {
            IERC20(token).safeTransfer(recipient, balanceToken);
        }
    }
    /// @notice Burns a token ID, which deletes it from the NFT contract. The token must have 0 liquidity and all tokens
    /// must be collected first.
    /// @param _tokenId The ID of the token that is being burned
    function burn(uint256 _tokenId) external nonReentrant {
        UserPositionInfo memory positionInfo = userPositionInfos[_tokenId];
        if (positionInfo.user != msg.sender) revert NotOwner();
        if (positionInfo.reward > 0 || positionInfo.liquidity > 0) revert NotEmpty();
        delete userPositionInfos[_tokenId];
        // Update Enumerable
        removeToken(msg.sender, _tokenId);
        // Remove boosted token id in farm booster.
        if (address(FARM_BOOSTER) != address(0))
            FARM_BOOSTER.removeBoostMultiplier(msg.sender, _tokenId, positionInfo.pid);
        nonfungiblePositionManager.burn(_tokenId);
        emit Withdraw(msg.sender, address(0), positionInfo.pid, _tokenId);
    }
    /// @notice Upkeep period.
    /// @param _amount The amount of cake injected.
    /// @param _duration The period duration.
    /// @param _withUpdate Whether call "massUpdatePools" operation.
    function upkeep(uint256 _amount, uint256 _duration, bool _withUpdate) external onlyReceiver {
        // Transfer cake token from receiver.
        CAKE.safeTransferFrom(receiver, address(this), _amount);
        // Update cakeAmountBelongToMC
        unchecked {
            cakeAmountBelongToMC += _amount;
        }
        if (_withUpdate) massUpdatePools();
        uint256 duration = PERIOD_DURATION;
        // Only use the _duration when _duration is between MIN_DURATION and MAX_DURATION.
        if (_duration >= MIN_DURATION && _duration <= MAX_DURATION) duration = _duration;
        uint256 currentTime = block.timestamp;
        uint256 endTime = currentTime + duration;
        uint256 cakePerSecond;
        uint256 cakeAmount = _amount;
        if (latestPeriodEndTime > currentTime) {
            uint256 remainingCake = ((latestPeriodEndTime - currentTime) * latestPeriodCakePerSecond) / PRECISION;
            emit UpdateUpkeepPeriod(latestPeriodNumber, latestPeriodEndTime, currentTime, remainingCake);
            cakeAmount += remainingCake;
        }
        cakePerSecond = (cakeAmount * PRECISION) / duration;
        unchecked {
            latestPeriodNumber++;
            latestPeriodStartTime = currentTime + 1;
            latestPeriodEndTime = endTime;
            latestPeriodCakePerSecond = cakePerSecond;
        }
        emit NewUpkeepPeriod(latestPeriodNumber, currentTime + 1, endTime, cakePerSecond, cakeAmount);
    }
    /// @notice Update cake reward for all the liquidity mining pool.
    function massUpdatePools() internal {
        uint32 currentTime = uint32(block.timestamp);
        for (uint256 pid = 1; pid <= poolLength; pid++) {
            PoolInfo memory pool = poolInfo[pid];
            ILMPool LMPool = ILMPool(pool.v3Pool.lmPool());
            if (pool.allocPoint != 0 && address(LMPool) != address(0)) {
                LMPool.accumulateReward(currentTime);
            }
        }
    }
    /// @notice Update cake reward for the liquidity mining pool.
    /// @dev Avoid too many pools, and a single transaction cannot be fully executed for all pools.
    function updatePools(uint256[] calldata pids) external onlyOwnerOrOperator {
        uint32 currentTime = uint32(block.timestamp);
        for (uint256 i = 0; i < pids.length; i++) {
            PoolInfo memory pool = poolInfo[pids[i]];
            ILMPool LMPool = ILMPool(pool.v3Pool.lmPool());
            if (pool.allocPoint != 0 && address(LMPool) != address(0)) {
                LMPool.accumulateReward(currentTime);
            }
        }
    }
    /// @notice Set operator address.
    /// @dev Callable by owner
    /// @param _operatorAddress New operator address.
    function setOperator(address _operatorAddress) external onlyOwner {
        if (_operatorAddress == address(0)) revert ZeroAddress();
        operatorAddress = _operatorAddress;
        emit NewOperatorAddress(_operatorAddress);
    }
    /// @notice Set period duration.
    /// @dev Callable by owner
    /// @param _periodDuration New period duration.
    function setPeriodDuration(uint256 _periodDuration) external onlyOwner {
        if (_periodDuration < MIN_DURATION || _periodDuration > MAX_DURATION) revert InvalidPeriodDuration();
        PERIOD_DURATION = _periodDuration;
        emit NewPeriodDuration(_periodDuration);
    }
    /// @notice Update farm boost contract address.
    /// @param _newFarmBoostContract The new farm booster address.
    function updateFarmBoostContract(address _newFarmBoostContract) external onlyOwner {
        // farm booster can be zero address when need to remove farm booster
        FARM_BOOSTER = IFarmBooster(_newFarmBoostContract);
        emit UpdateFarmBoostContract(_newFarmBoostContract);
    }
    /**
     * @notice Transfer ETH in a safe way
     * @param to: address to transfer ETH to
     * @param value: ETH amount to transfer (in wei)
     */
    function safeTransferETH(address to, uint256 value) internal {
        (bool success, ) = to.call{value: value}("");
        if (!success) revert();
    }
    /// @notice Safe Transfer CAKE.
    /// @param _to The CAKE receiver address.
    /// @param _amount Transfer CAKE amounts.
    function _safeTransfer(address _to, uint256 _amount) internal {
        if (_amount > 0) {
            uint256 balance = CAKE.balanceOf(address(this));
            if (balance < _amount) {
                _amount = balance;
            }
            // Update cakeAmountBelongToMC
            unchecked {
                if (cakeAmountBelongToMC >= _amount) {
                    cakeAmountBelongToMC -= _amount;
                } else {
                    cakeAmountBelongToMC = balance - _amount;
                }
            }
            CAKE.safeTransfer(_to, _amount);
        }
    }
    receive() external payable {
        if (msg.sender != address(nonfungiblePositionManager) && msg.sender != WETH) revert();
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.10;
/// @title Multicall
/// @notice Enables calling multiple methods in a single call to the contract
contract Multicall {
    function multicall(bytes[] calldata data) public payable returns (bytes[] memory results) {
        results = new bytes[](data.length);
        for (uint256 i = 0; i < data.length; i++) {
            (bool success, bytes memory result) = address(this).delegatecall(data[i]);
            if (!success) {
                // Next 5 lines from https://ethereum.stackexchange.com/a/83577
                if (result.length < 68) revert();
                assembly {
                    result := add(result, 0x04)
                }
                revert(abi.decode(result, (string)));
            }
            results[i] = result;
        }
    }
}

// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title The interface for the PancakeSwap V3 Factory
/// @notice The PancakeSwap V3 Factory facilitates creation of PancakeSwap V3 pools and control over the protocol fees
interface IPancakeV3Factory {
    struct TickSpacingExtraInfo {
        bool whitelistRequested;
        bool enabled;
    }
    /// @notice Emitted when the owner of the factory is changed
    /// @param oldOwner The owner before the owner was changed
    /// @param newOwner The owner after the owner was changed
    event OwnerChanged(address indexed oldOwner, address indexed newOwner);
    /// @notice Emitted when a pool is created
    /// @param token0 The first token of the pool by address sort order
    /// @param token1 The second token of the pool by address sort order
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks
    /// @param pool The address of the created pool
    event PoolCreated(
        address indexed token0,
        address indexed token1,
        uint24 indexed fee,
        int24 tickSpacing,
        address pool
    );
    /// @notice Emitted when a new fee amount is enabled for pool creation via the factory
    /// @param fee The enabled fee, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks for pools created with the given fee
    event FeeAmountEnabled(uint24 indexed fee, int24 indexed tickSpacing);
    event FeeAmountExtraInfoUpdated(uint24 indexed fee, bool whitelistRequested, bool enabled);
    event WhiteListAdded(address indexed user, bool verified);
    /// @notice Emitted when LM pool deployer is set
    event SetLmPoolDeployer(address indexed lmPoolDeployer);
    /// @notice Returns the current owner of the factory
    /// @dev Can be changed by the current owner via setOwner
    /// @return The address of the factory owner
    function owner() external view returns (address);
    /// @notice Returns the tick spacing for a given fee amount, if enabled, or 0 if not enabled
    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
    /// @return The tick spacing
    function feeAmountTickSpacing(uint24 fee) external view returns (int24);
    /// @notice Returns the tick spacing extra info
    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
    /// @return whitelistRequested The flag whether should be created by white list users only
    function feeAmountTickSpacingExtraInfo(uint24 fee) external view returns (bool whitelistRequested, bool enabled);
    /// @notice Returns the pool address for a given pair of tokens and a fee, or address 0 if it does not exist
    /// @dev tokenA and tokenB may be passed in either token0/token1 or token1/token0 order
    /// @param tokenA The contract address of either token0 or token1
    /// @param tokenB The contract address of the other token
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @return pool The pool address
    function getPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external view returns (address pool);
    /// @notice Creates a pool for the given two tokens and fee
    /// @param tokenA One of the two tokens in the desired pool
    /// @param tokenB The other of the two tokens in the desired pool
    /// @param fee The desired fee for the pool
    /// @dev tokenA and tokenB may be passed in either order: token0/token1 or token1/token0. tickSpacing is retrieved
    /// from the fee. The call will revert if the pool already exists, the fee is invalid, or the token arguments
    /// are invalid.
    /// @return pool The address of the newly created pool
    function createPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external returns (address pool);
    /// @notice Updates the owner of the factory
    /// @dev Must be called by the current owner
    /// @param _owner The new owner of the factory
    function setOwner(address _owner) external;
    /// @notice Enables a fee amount with the given tickSpacing
    /// @dev Fee amounts may never be removed once enabled
    /// @param fee The fee amount to enable, denominated in hundredths of a bip (i.e. 1e-6)
    /// @param tickSpacing The spacing between ticks to be enforced for all pools created with the given fee amount
    function enableFeeAmount(uint24 fee, int24 tickSpacing) external;
    /// @notice Set an address into white list
    /// @dev Address can be updated by owner with boolean value false
    /// @param user The user address that add into white list
    function setWhiteListAddress(address user, bool verified) external;
    /// @notice Set a fee amount extra info
    /// @dev Fee amounts can be updated by owner with extra info
    /// @param whitelistRequested The flag whether should be created by owner only
    /// @param enabled The flag is the fee is enabled or not
    function setFeeAmountExtraInfo(
        uint24 fee,
        bool whitelistRequested,
        bool enabled
    ) external;
    function setLmPoolDeployer(address _lmPoolDeployer) external;
    function setFeeProtocol(address pool, uint32 feeProtocol0, uint32 feeProtocol1) external;
    function collectProtocol(
        address pool,
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    function setLmPool(address pool, address lmPool) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './pool/IPancakeV3PoolImmutables.sol';
import './pool/IPancakeV3PoolState.sol';
import './pool/IPancakeV3PoolDerivedState.sol';
import './pool/IPancakeV3PoolActions.sol';
import './pool/IPancakeV3PoolOwnerActions.sol';
import './pool/IPancakeV3PoolEvents.sol';
/// @title The interface for a PancakeSwap V3 Pool
/// @notice A PancakeSwap pool facilitates swapping and automated market making between any two assets that strictly conform
/// to the ERC20 specification
/// @dev The pool interface is broken up into many smaller pieces
interface IPancakeV3Pool is
    IPancakeV3PoolImmutables,
    IPancakeV3PoolState,
    IPancakeV3PoolDerivedState,
    IPancakeV3PoolActions,
    IPancakeV3PoolOwnerActions,
    IPancakeV3PoolEvents
{
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title An interface for a contract that is capable of deploying PancakeSwap V3 Pools
/// @notice A contract that constructs a pool must implement this to pass arguments to the pool
/// @dev This is used to avoid having constructor arguments in the pool contract, which results in the init code hash
/// of the pool being constant allowing the CREATE2 address of the pool to be cheaply computed on-chain
interface IPancakeV3PoolDeployer {
    /// @notice Get the parameters to be used in constructing the pool, set transiently during pool creation.
    /// @dev Called by the pool constructor to fetch the parameters of the pool
    /// Returns factory The factory address
    /// Returns token0 The first token of the pool by address sort order
    /// Returns token1 The second token of the pool by address sort order
    /// Returns fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// Returns tickSpacing The minimum number of ticks between initialized ticks
    function parameters()
        external
        view
        returns (
            address factory,
            address token0,
            address token1,
            uint24 fee,
            int24 tickSpacing
        );
    function deploy(
        address factory,
        address token0,
        address token1,
        uint24 fee,
        int24 tickSpacing
    ) external returns (address pool);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissionless pool actions
/// @notice Contains pool methods that can be called by anyone
interface IPancakeV3PoolActions {
    /// @notice Sets the initial price for the pool
    /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
    /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
    function initialize(uint160 sqrtPriceX96) external;
    /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
    /// @dev The caller of this method receives a callback in the form of IPancakeV3MintCallback#pancakeV3MintCallback
    /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
    /// on tickLower, tickUpper, the amount of liquidity, and the current price.
    /// @param recipient The address for which the liquidity will be created
    /// @param tickLower The lower tick of the position in which to add liquidity
    /// @param tickUpper The upper tick of the position in which to add liquidity
    /// @param amount The amount of liquidity to mint
    /// @param data Any data that should be passed through to the callback
    /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
    /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Collects tokens owed to a position
    /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
    /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
    /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
    /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
    /// @param recipient The address which should receive the fees collected
    /// @param tickLower The lower tick of the position for which to collect fees
    /// @param tickUpper The upper tick of the position for which to collect fees
    /// @param amount0Requested How much token0 should be withdrawn from the fees owed
    /// @param amount1Requested How much token1 should be withdrawn from the fees owed
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
    /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
    /// @dev Fees must be collected separately via a call to #collect
    /// @param tickLower The lower tick of the position for which to burn liquidity
    /// @param tickUpper The upper tick of the position for which to burn liquidity
    /// @param amount How much liquidity to burn
    /// @return amount0 The amount of token0 sent to the recipient
    /// @return amount1 The amount of token1 sent to the recipient
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Swap token0 for token1, or token1 for token0
    /// @dev The caller of this method receives a callback in the form of IPancakeV3SwapCallback#pancakeV3SwapCallback
    /// @param recipient The address to receive the output of the swap
    /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
    /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
    /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @param data Any data to be passed through to the callback
    /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
    /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);
    /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
    /// @dev The caller of this method receives a callback in the form of IPancakeV3FlashCallback#pancakeV3FlashCallback
    /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
    /// with 0 amount{0,1} and sending the donation amount(s) from the callback
    /// @param recipient The address which will receive the token0 and token1 amounts
    /// @param amount0 The amount of token0 to send
    /// @param amount1 The amount of token1 to send
    /// @param data Any data to be passed through to the callback
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;
    /// @notice Increase the maximum number of price and liquidity observations that this pool will store
    /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
    /// the input observationCardinalityNext.
    /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that is not stored
/// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
/// blockchain. The functions here may have variable gas costs.
interface IPancakeV3PoolDerivedState {
    /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
    /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
    /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
    /// you must call it with secondsAgos = [3600, 0].
    /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
    /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
    /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
    /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
    /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
    /// timestamp
    function observe(uint32[] calldata secondsAgos)
        external
        view
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
    /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
    /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
    /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
    /// snapshot is taken and the second snapshot is taken.
    /// @param tickLower The lower tick of the range
    /// @param tickUpper The upper tick of the range
    /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
    /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
    /// @return secondsInside The snapshot of seconds per liquidity for the range
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Events emitted by a pool
/// @notice Contains all events emitted by the pool
interface IPancakeV3PoolEvents {
    /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
    /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
    /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
    /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
    event Initialize(uint160 sqrtPriceX96, int24 tick);
    /// @notice Emitted when liquidity is minted for a given position
    /// @param sender The address that minted the liquidity
    /// @param owner The owner of the position and recipient of any minted liquidity
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity minted to the position range
    /// @param amount0 How much token0 was required for the minted liquidity
    /// @param amount1 How much token1 was required for the minted liquidity
    event Mint(
        address sender,
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted when fees are collected by the owner of a position
    /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
    /// @param owner The owner of the position for which fees are collected
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount0 The amount of token0 fees collected
    /// @param amount1 The amount of token1 fees collected
    event Collect(
        address indexed owner,
        address recipient,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount0,
        uint128 amount1
    );
    /// @notice Emitted when a position's liquidity is removed
    /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
    /// @param owner The owner of the position for which liquidity is removed
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity to remove
    /// @param amount0 The amount of token0 withdrawn
    /// @param amount1 The amount of token1 withdrawn
    event Burn(
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted by the pool for any swaps between token0 and token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the output of the swap
    /// @param amount0 The delta of the token0 balance of the pool
    /// @param amount1 The delta of the token1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of price of the pool after the swap
    /// @param protocolFeesToken0 The protocol fee of token0 in the swap
    /// @param protocolFeesToken1 The protocol fee of token1 in the swap
    event Swap(
        address indexed sender,
        address indexed recipient,
        int256 amount0,
        int256 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick,
        uint128 protocolFeesToken0,
        uint128 protocolFeesToken1
    );
    /// @notice Emitted by the pool for any flashes of token0/token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the tokens from flash
    /// @param amount0 The amount of token0 that was flashed
    /// @param amount1 The amount of token1 that was flashed
    /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
    /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
    event Flash(
        address indexed sender,
        address indexed recipient,
        uint256 amount0,
        uint256 amount1,
        uint256 paid0,
        uint256 paid1
    );
    /// @notice Emitted by the pool for increases to the number of observations that can be stored
    /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
    /// just before a mint/swap/burn.
    /// @param observationCardinalityNextOld The previous value of the next observation cardinality
    /// @param observationCardinalityNextNew The updated value of the next observation cardinality
    event IncreaseObservationCardinalityNext(
        uint16 observationCardinalityNextOld,
        uint16 observationCardinalityNextNew
    );
    /// @notice Emitted when the protocol fee is changed by the pool
    /// @param feeProtocol0Old The previous value of the token0 protocol fee
    /// @param feeProtocol1Old The previous value of the token1 protocol fee
    /// @param feeProtocol0New The updated value of the token0 protocol fee
    /// @param feeProtocol1New The updated value of the token1 protocol fee
    event SetFeeProtocol(
        uint32 feeProtocol0Old,
        uint32 feeProtocol1Old,
        uint32 feeProtocol0New,
        uint32 feeProtocol1New
    );
    /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
    /// @param sender The address that collects the protocol fees
    /// @param recipient The address that receives the collected protocol fees
    /// @param amount0 The amount of token0 protocol fees that is withdrawn
    /// @param amount0 The amount of token1 protocol fees that is withdrawn
    event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that never changes
/// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
interface IPancakeV3PoolImmutables {
    /// @notice The contract that deployed the pool, which must adhere to the IPancakeV3Factory interface
    /// @return The contract address
    function factory() external view returns (address);
    /// @notice The first of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token0() external view returns (address);
    /// @notice The second of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token1() external view returns (address);
    /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
    /// @return The fee
    function fee() external view returns (uint24);
    /// @notice The pool tick spacing
    /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
    /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
    /// This value is an int24 to avoid casting even though it is always positive.
    /// @return The tick spacing
    function tickSpacing() external view returns (int24);
    /// @notice The maximum amount of position liquidity that can use any tick in the range
    /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
    /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
    /// @return The max amount of liquidity per tick
    function maxLiquidityPerTick() external view returns (uint128);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissioned pool actions
/// @notice Contains pool methods that may only be called by the factory owner
interface IPancakeV3PoolOwnerActions {
    /// @notice Set the denominator of the protocol's % share of the fees
    /// @param feeProtocol0 new protocol fee for token0 of the pool
    /// @param feeProtocol1 new protocol fee for token1 of the pool
    function setFeeProtocol(uint32 feeProtocol0, uint32 feeProtocol1) external;
    /// @notice Collect the protocol fee accrued to the pool
    /// @param recipient The address to which collected protocol fees should be sent
    /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
    /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
    /// @return amount0 The protocol fee collected in token0
    /// @return amount1 The protocol fee collected in token1
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Set the LM pool to enable liquidity mining
    function setLmPool(address lmPool) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that can change
/// @notice These methods compose the pool's state, and can change with any frequency including multiple times
/// per transaction
interface IPancakeV3PoolState {
    /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
    /// when accessed externally.
    /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
    /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
    /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
    /// boundary.
    /// observationIndex The index of the last oracle observation that was written,
    /// observationCardinality The current maximum number of observations stored in the pool,
    /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
    /// feeProtocol The protocol fee for both tokens of the pool.
    /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
    /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
    /// unlocked Whether the pool is currently locked to reentrancy
    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            uint32 feeProtocol,
            bool unlocked
        );
    /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal0X128() external view returns (uint256);
    /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal1X128() external view returns (uint256);
    /// @notice The amounts of token0 and token1 that are owed to the protocol
    /// @dev Protocol fees will never exceed uint128 max in either token
    function protocolFees() external view returns (uint128 token0, uint128 token1);
    /// @notice The currently in range liquidity available to the pool
    /// @dev This value has no relationship to the total liquidity across all ticks
    function liquidity() external view returns (uint128);
    /// @notice Look up information about a specific tick in the pool
    /// @param tick The tick to look up
    /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
    /// tick upper,
    /// liquidityNet how much liquidity changes when the pool price crosses the tick,
    /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
    /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
    /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
    /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
    /// secondsOutside the seconds spent on the other side of the tick from the current tick,
    /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
    /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
    /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
    /// a specific position.
    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );
    /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
    function tickBitmap(int16 wordPosition) external view returns (uint256);
    /// @notice Returns the information about a position by the position's key
    /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
    /// @return _liquidity The amount of liquidity in the position,
    /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
    /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
    /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
    /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
    function positions(bytes32 key)
        external
        view
        returns (
            uint128 _liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );
    /// @notice Returns data about a specific observation index
    /// @param index The element of the observations array to fetch
    /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
    /// ago, rather than at a specific index in the array.
    /// @return blockTimestamp The timestamp of the observation,
    /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
    /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
    /// Returns initialized whether the observation has been initialized and the values are safe to use
    function observations(uint256 index)
        external
        view
        returns (
            uint32 blockTimestamp,
            int56 tickCumulative,
            uint160 secondsPerLiquidityCumulativeX128,
            bool initialized
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity =0.7.6;
import './interfaces/IPancakeV3Factory.sol';
import "./interfaces/IPancakeV3PoolDeployer.sol";
import './interfaces/IPancakeV3Pool.sol';
/// @title Canonical PancakeSwap V3 factory
/// @notice Deploys PancakeSwap V3 pools and manages ownership and control over pool protocol fees
contract PancakeV3Factory is IPancakeV3Factory {
    /// @inheritdoc IPancakeV3Factory
    address public override owner;
    address public immutable poolDeployer;
    /// @inheritdoc IPancakeV3Factory
    mapping(uint24 => int24) public override feeAmountTickSpacing;
    /// @inheritdoc IPancakeV3Factory
    mapping(address => mapping(address => mapping(uint24 => address))) public override getPool;
    /// @inheritdoc IPancakeV3Factory
    mapping(uint24 => TickSpacingExtraInfo) public override feeAmountTickSpacingExtraInfo;
    mapping(address => bool) private _whiteListAddresses;
    address public lmPoolDeployer;
    modifier onlyOwner() {
        require(msg.sender == owner, "Not owner");
        _;
    }
    modifier onlyOwnerOrLmPoolDeployer() {
        require(msg.sender == owner || msg.sender == lmPoolDeployer, "Not owner or LM pool deployer");
        _;
    }
    constructor(address _poolDeployer) {
        poolDeployer = _poolDeployer;
        owner = msg.sender;
        emit OwnerChanged(address(0), msg.sender);
        feeAmountTickSpacing[100] = 1;
        feeAmountTickSpacingExtraInfo[100] = TickSpacingExtraInfo({whitelistRequested: false, enabled: true});
        emit FeeAmountEnabled(100, 1);
        emit FeeAmountExtraInfoUpdated(100, false, true);
        feeAmountTickSpacing[500] = 10;
        feeAmountTickSpacingExtraInfo[500] = TickSpacingExtraInfo({whitelistRequested: false, enabled: true});
        emit FeeAmountEnabled(500, 10);
        emit FeeAmountExtraInfoUpdated(500, false, true);
        feeAmountTickSpacing[2500] = 50;
        feeAmountTickSpacingExtraInfo[2500] = TickSpacingExtraInfo({whitelistRequested: false, enabled: true});
        emit FeeAmountEnabled(2500, 50);
        emit FeeAmountExtraInfoUpdated(2500, false, true);
        feeAmountTickSpacing[10000] = 200;
        feeAmountTickSpacingExtraInfo[10000] = TickSpacingExtraInfo({whitelistRequested: false, enabled: true});
        emit FeeAmountEnabled(10000, 200);
        emit FeeAmountExtraInfoUpdated(10000, false, true);
    }
    /// @inheritdoc IPancakeV3Factory
    function createPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external override returns (address pool) {
        require(tokenA != tokenB);
        (address token0, address token1) = tokenA < tokenB ? (tokenA, tokenB) : (tokenB, tokenA);
        require(token0 != address(0));
        int24 tickSpacing = feeAmountTickSpacing[fee];
        TickSpacingExtraInfo memory info = feeAmountTickSpacingExtraInfo[fee];
        require(tickSpacing != 0 && info.enabled, "fee is not available yet");
        if (info.whitelistRequested) {
            require(_whiteListAddresses[msg.sender], "user should be in the white list for this fee tier");
        }
        require(getPool[token0][token1][fee] == address(0));
        pool = IPancakeV3PoolDeployer(poolDeployer).deploy(address(this), token0, token1, fee, tickSpacing);
        getPool[token0][token1][fee] = pool;
        // populate mapping in the reverse direction, deliberate choice to avoid the cost of comparing addresses
        getPool[token1][token0][fee] = pool;
        emit PoolCreated(token0, token1, fee, tickSpacing, pool);
    }
    /// @inheritdoc IPancakeV3Factory
    function setOwner(address _owner) external override onlyOwner {
        emit OwnerChanged(owner, _owner);
        owner = _owner;
    }
    /// @inheritdoc IPancakeV3Factory
    function enableFeeAmount(uint24 fee, int24 tickSpacing) public override onlyOwner {
        require(fee < 1000000);
        // tick spacing is capped at 16384 to prevent the situation where tickSpacing is so large that
        // TickBitmap#nextInitializedTickWithinOneWord overflows int24 container from a valid tick
        // 16384 ticks represents a >5x price change with ticks of 1 bips
        require(tickSpacing > 0 && tickSpacing < 16384);
        require(feeAmountTickSpacing[fee] == 0);
        feeAmountTickSpacing[fee] = tickSpacing;
        feeAmountTickSpacingExtraInfo[fee] = TickSpacingExtraInfo({whitelistRequested: false, enabled: true});
        emit FeeAmountEnabled(fee, tickSpacing);
        emit FeeAmountExtraInfoUpdated(fee, false, true);
    }
    /// @inheritdoc IPancakeV3Factory
    function setWhiteListAddress(address user, bool verified) public override onlyOwner {
        require(_whiteListAddresses[user] != verified, "state not change");
        _whiteListAddresses[user] = verified;
        emit WhiteListAdded(user, verified);
    }
    /// @inheritdoc IPancakeV3Factory
    function setFeeAmountExtraInfo(
        uint24 fee,
        bool whitelistRequested,
        bool enabled
    ) public override onlyOwner {
        require(feeAmountTickSpacing[fee] != 0);
        feeAmountTickSpacingExtraInfo[fee] = TickSpacingExtraInfo({
            whitelistRequested: whitelistRequested,
            enabled: enabled
        });
        emit FeeAmountExtraInfoUpdated(fee, whitelistRequested, enabled);
    }
    function setLmPoolDeployer(address _lmPoolDeployer) external override onlyOwner {
        lmPoolDeployer = _lmPoolDeployer;
        emit SetLmPoolDeployer(_lmPoolDeployer);
    }
    function setFeeProtocol(address pool, uint32 feeProtocol0, uint32 feeProtocol1) external override onlyOwner {
        IPancakeV3Pool(pool).setFeeProtocol(feeProtocol0, feeProtocol1);
    }
    function collectProtocol(
        address pool,
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override onlyOwner returns (uint128 amount0, uint128 amount1) {
        return IPancakeV3Pool(pool).collectProtocol(recipient, amount0Requested, amount1Requested);
    }
    function setLmPool(address pool, address lmPool) external override onlyOwnerOrLmPoolDeployer {
        IPancakeV3Pool(pool).setLmPool(lmPool);
    }
}