Contract

Contract Source Code (Solidity Standard Json-Input format)

IDE

• Blockscan IDE
• 🤖 Code ReaderBeta
• Remix IDE

More Options

• Similar
• Sol2Uml
• Submit Audit
• Compare

// SPDX-License-Identifier: MIT
pragma solidity 0.8.15;

import { OwnableUpgradeable } from "@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol";
import { ISemver } from "src/universal/ISemver.sol";
import { ResourceMetering } from "src/L1/ResourceMetering.sol";
import { Storage } from "src/libraries/Storage.sol";
import { Constants } from "src/libraries/Constants.sol";

/// @title SystemConfig
/// @notice The SystemConfig contract is used to manage configuration of an Optimism network.
///         All configuration is stored on L1 and picked up by L2 as part of the derviation of
///         the L2 chain.
contract SystemConfig is OwnableUpgradeable, ISemver {
    /// @notice Enum representing different types of updates.
    /// @custom:value BATCHER              Represents an update to the batcher hash.
    /// @custom:value GAS_CONFIG           Represents an update to txn fee config on L2.
    /// @custom:value GAS_LIMIT            Represents an update to gas limit on L2.
    /// @custom:value UNSAFE_BLOCK_SIGNER  Represents an update to the signer key for unsafe
    ///                                    block distrubution.
    enum UpdateType {
        BATCHER,
        GAS_CONFIG,
        GAS_LIMIT,
        UNSAFE_BLOCK_SIGNER
    }

    /// @notice Struct representing the addresses of L1 system contracts. These should be the
    ///         proxies and will differ for each OP Stack chain.
    struct Addresses {
        address l1CrossDomainMessenger;
        address l1ERC721Bridge;
        address l1StandardBridge;
        address l2OutputOracle;
        address optimismPortal;
        address optimismMintableERC20Factory;
    }

    /// @notice Version identifier, used for upgrades.
    uint256 public constant VERSION = 0;

    /// @notice Storage slot that the unsafe block signer is stored at.
    ///         Storing it at this deterministic storage slot allows for decoupling the storage
    ///         layout from the way that `solc` lays out storage. The `op-node` uses a storage
    ///         proof to fetch this value.
    /// @dev    NOTE: this value will be migrated to another storage slot in a future version.
    ///         User input should not be placed in storage in this contract until this migration
    ///         happens. It is unlikely that keccak second preimage resistance will be broken,
    ///         but it is better to be safe than sorry.
    bytes32 public constant UNSAFE_BLOCK_SIGNER_SLOT = keccak256("systemconfig.unsafeblocksigner");

    /// @notice Storage slot that the L1CrossDomainMessenger address is stored at.
    bytes32 public constant L1_CROSS_DOMAIN_MESSENGER_SLOT =
        bytes32(uint256(keccak256("systemconfig.l1crossdomainmessenger")) - 1);

    /// @notice Storage slot that the L1ERC721Bridge address is stored at.
    bytes32 public constant L1_ERC_721_BRIDGE_SLOT = bytes32(uint256(keccak256("systemconfig.l1erc721bridge")) - 1);

    /// @notice Storage slot that the L1StandardBridge address is stored at.
    bytes32 public constant L1_STANDARD_BRIDGE_SLOT = bytes32(uint256(keccak256("systemconfig.l1standardbridge")) - 1);

    /// @notice Storage slot that the L2OutputOracle address is stored at.
    bytes32 public constant L2_OUTPUT_ORACLE_SLOT = bytes32(uint256(keccak256("systemconfig.l2outputoracle")) - 1);

    /// @notice Storage slot that the OptimismPortal address is stored at.
    bytes32 public constant OPTIMISM_PORTAL_SLOT = bytes32(uint256(keccak256("systemconfig.optimismportal")) - 1);

    /// @notice Storage slot that the OptimismMintableERC20Factory address is stored at.
    bytes32 public constant OPTIMISM_MINTABLE_ERC20_FACTORY_SLOT =
        bytes32(uint256(keccak256("systemconfig.optimismmintableerc20factory")) - 1);

    /// @notice Storage slot that the batch inbox address is stored at.
    bytes32 public constant BATCH_INBOX_SLOT = bytes32(uint256(keccak256("systemconfig.batchinbox")) - 1);

    /// @notice Fixed L2 gas overhead. Used as part of the L2 fee calculation.
    uint256 public overhead;

    /// @notice Dynamic L2 gas overhead. Used as part of the L2 fee calculation.
    uint256 public scalar;

    /// @notice Identifier for the batcher.
    ///         For version 1 of this configuration, this is represented as an address left-padded
    ///         with zeros to 32 bytes.
    bytes32 public batcherHash;

    /// @notice L2 block gas limit.
    uint64 public gasLimit;

    /// @notice The configuration for the deposit fee market.
    ///         Used by the OptimismPortal to meter the cost of buying L2 gas on L1.
    ///         Set as internal with a getter so that the struct is returned instead of a tuple.
    ResourceMetering.ResourceConfig internal _resourceConfig;

    /// @notice Emitted when configuration is updated.
    /// @param version    SystemConfig version.
    /// @param updateType Type of update.
    /// @param data       Encoded update data.
    event ConfigUpdate(uint256 indexed version, UpdateType indexed updateType, bytes data);

    /// @notice The block at which the op-node can start searching for logs from.
    uint256 public startBlock;

    /// @notice Semantic version.
    /// @custom:semver 1.10.0
    string public constant version = "1.10.0";

    /// @notice Constructs the SystemConfig contract. Cannot set
    ///         the owner to `address(0)` due to the Ownable contract's
    ///         implementation, so set it to `address(0xdEaD)`
    constructor() {
        initialize({
            _owner: address(0xdEaD),
            _overhead: 0,
            _scalar: 0,
            _batcherHash: bytes32(0),
            _gasLimit: 1,
            _unsafeBlockSigner: address(0),
            _config: ResourceMetering.ResourceConfig({
                maxResourceLimit: 1,
                elasticityMultiplier: 1,
                baseFeeMaxChangeDenominator: 2,
                minimumBaseFee: 0,
                systemTxMaxGas: 0,
                maximumBaseFee: 0
            }),
            _startBlock: type(uint256).max,
            _batchInbox: address(0),
            _addresses: SystemConfig.Addresses({
                l1CrossDomainMessenger: address(0),
                l1ERC721Bridge: address(0),
                l1StandardBridge: address(0),
                l2OutputOracle: address(0),
                optimismPortal: address(0),
                optimismMintableERC20Factory: address(0)
            })
        });
    }

    /// @notice Initializer.
    ///         The resource config must be set before the require check.
    /// @param _owner             Initial owner of the contract.
    /// @param _overhead          Initial overhead value.
    /// @param _scalar            Initial scalar value.
    /// @param _batcherHash       Initial batcher hash.
    /// @param _gasLimit          Initial gas limit.
    /// @param _unsafeBlockSigner Initial unsafe block signer address.
    /// @param _config            Initial ResourceConfig.
    /// @param _startBlock        Starting block for the op-node to search for logs from.
    ///                           Contracts that were deployed before this field existed
    ///                           need to have this field set manually via an override.
    ///                           Newly deployed contracts should set this value to uint256(0).
    /// @param _batchInbox        Batch inbox address. An identifier for the op-node to find
    ///                           canonical data.
    /// @param _addresses         Set of L1 contract addresses. These should be the proxies.
    function initialize(
        address _owner,
        uint256 _overhead,
        uint256 _scalar,
        bytes32 _batcherHash,
        uint64 _gasLimit,
        address _unsafeBlockSigner,
        ResourceMetering.ResourceConfig memory _config,
        uint256 _startBlock,
        address _batchInbox,
        SystemConfig.Addresses memory _addresses
    )
        public
        reinitializer(Constants.INITIALIZER)
    {
        __Ownable_init();
        transferOwnership(_owner);

        // These are set in ascending order of their UpdateTypes.
        _setBatcherHash(_batcherHash);
        _setGasConfig({ _overhead: _overhead, _scalar: _scalar });
        _setGasLimit(_gasLimit);
        _setUnsafeBlockSigner(_unsafeBlockSigner);

        Storage.setAddress(BATCH_INBOX_SLOT, _batchInbox);
        Storage.setAddress(L1_CROSS_DOMAIN_MESSENGER_SLOT, _addresses.l1CrossDomainMessenger);
        Storage.setAddress(L1_ERC_721_BRIDGE_SLOT, _addresses.l1ERC721Bridge);
        Storage.setAddress(L1_STANDARD_BRIDGE_SLOT, _addresses.l1StandardBridge);
        Storage.setAddress(L2_OUTPUT_ORACLE_SLOT, _addresses.l2OutputOracle);
        Storage.setAddress(OPTIMISM_PORTAL_SLOT, _addresses.optimismPortal);
        Storage.setAddress(OPTIMISM_MINTABLE_ERC20_FACTORY_SLOT, _addresses.optimismMintableERC20Factory);

        _setStartBlock(_startBlock);

        _setResourceConfig(_config);
        require(_gasLimit >= minimumGasLimit(), "SystemConfig: gas limit too low");
    }

    /// @notice Returns the minimum L2 gas limit that can be safely set for the system to
    ///         operate. The L2 gas limit must be larger than or equal to the amount of
    ///         gas that is allocated for deposits per block plus the amount of gas that
    ///         is allocated for the system transaction.
    ///         This function is used to determine if changes to parameters are safe.
    /// @return uint64 Minimum gas limit.
    function minimumGasLimit() public view returns (uint64) {
        return uint64(_resourceConfig.maxResourceLimit) + uint64(_resourceConfig.systemTxMaxGas);
    }

    /// @notice High level getter for the unsafe block signer address.
    ///         Unsafe blocks can be propagated across the p2p network if they are signed by the
    ///         key corresponding to this address.
    /// @return addr_ Address of the unsafe block signer.
    // solhint-disable-next-line ordering
    function unsafeBlockSigner() public view returns (address addr_) {
        addr_ = Storage.getAddress(UNSAFE_BLOCK_SIGNER_SLOT);
    }

    /// @notice Getter for the L1CrossDomainMessenger address.
    function l1CrossDomainMessenger() external view returns (address addr_) {
        addr_ = Storage.getAddress(L1_CROSS_DOMAIN_MESSENGER_SLOT);
    }

    /// @notice Getter for the L1ERC721Bridge address.
    function l1ERC721Bridge() external view returns (address addr_) {
        addr_ = Storage.getAddress(L1_ERC_721_BRIDGE_SLOT);
    }

    /// @notice Getter for the L1StandardBridge address.
    function l1StandardBridge() external view returns (address addr_) {
        addr_ = Storage.getAddress(L1_STANDARD_BRIDGE_SLOT);
    }

    /// @notice Getter for the L2OutputOracle address.
    function l2OutputOracle() external view returns (address addr_) {
        addr_ = Storage.getAddress(L2_OUTPUT_ORACLE_SLOT);
    }

    /// @notice Getter for the OptimismPortal address.
    function optimismPortal() external view returns (address addr_) {
        addr_ = Storage.getAddress(OPTIMISM_PORTAL_SLOT);
    }

    /// @notice Getter for the OptimismMintableERC20Factory address.
    function optimismMintableERC20Factory() external view returns (address addr_) {
        addr_ = Storage.getAddress(OPTIMISM_MINTABLE_ERC20_FACTORY_SLOT);
    }

    /// @notice Getter for the BatchInbox address.
    function batchInbox() external view returns (address addr_) {
        addr_ = Storage.getAddress(BATCH_INBOX_SLOT);
    }

    /// @notice Sets the start block in a backwards compatible way. Proxies
    ///         that were initialized before the startBlock existed in storage
    ///         can have their start block set by a user provided override.
    ///         A start block of 0 indicates that there is no override and the
    ///         start block will be set by `block.number`.
    /// @dev    This logic is used to patch legacy deployments with new storage values.
    ///         Use the override if it is provided as a non zero value and the value
    ///         has not already been set in storage. Use `block.number` if the value
    ///         has already been set in storage
    /// @param  _startBlock The start block override to set in storage.
    function _setStartBlock(uint256 _startBlock) internal {
        if (_startBlock != 0 && startBlock == 0) {
            // There is an override and it is not already set, this is for legacy chains.
            startBlock = _startBlock;
        } else if (startBlock == 0) {
            // There is no override and it is not set in storage. Set it to the block number.
            // This is for newly deployed chains.
            startBlock = block.number;
        }
    }

    /// @notice Updates the unsafe block signer address. Can only be called by the owner.
    /// @param _unsafeBlockSigner New unsafe block signer address.
    function setUnsafeBlockSigner(address _unsafeBlockSigner) external onlyOwner {
        _setUnsafeBlockSigner(_unsafeBlockSigner);
    }

    /// @notice Updates the unsafe block signer address.
    /// @param _unsafeBlockSigner New unsafe block signer address.
    function _setUnsafeBlockSigner(address _unsafeBlockSigner) internal {
        Storage.setAddress(UNSAFE_BLOCK_SIGNER_SLOT, _unsafeBlockSigner);

        bytes memory data = abi.encode(_unsafeBlockSigner);
        emit ConfigUpdate(VERSION, UpdateType.UNSAFE_BLOCK_SIGNER, data);
    }

    /// @notice Updates the batcher hash. Can only be called by the owner.
    /// @param _batcherHash New batcher hash.
    function setBatcherHash(bytes32 _batcherHash) external onlyOwner {
        _setBatcherHash(_batcherHash);
    }

    /// @notice Internal function for updating the batcher hash.
    /// @param _batcherHash New batcher hash.
    function _setBatcherHash(bytes32 _batcherHash) internal {
        batcherHash = _batcherHash;

        bytes memory data = abi.encode(_batcherHash);
        emit ConfigUpdate(VERSION, UpdateType.BATCHER, data);
    }

    /// @notice Updates gas config. Can only be called by the owner.
    /// @param _overhead New overhead value.
    /// @param _scalar   New scalar value.
    function setGasConfig(uint256 _overhead, uint256 _scalar) external onlyOwner {
        _setGasConfig(_overhead, _scalar);
    }

    /// @notice Internal function for updating the gas config.
    /// @param _overhead New overhead value.
    /// @param _scalar   New scalar value.
    function _setGasConfig(uint256 _overhead, uint256 _scalar) internal {
        overhead = _overhead;
        scalar = _scalar;

        bytes memory data = abi.encode(_overhead, _scalar);
        emit ConfigUpdate(VERSION, UpdateType.GAS_CONFIG, data);
    }

    /// @notice Updates the L2 gas limit. Can only be called by the owner.
    /// @param _gasLimit New gas limit.
    function setGasLimit(uint64 _gasLimit) external onlyOwner {
        _setGasLimit(_gasLimit);
    }

    /// @notice Internal function for updating the L2 gas limit.
    /// @param _gasLimit New gas limit.
    function _setGasLimit(uint64 _gasLimit) internal {
        require(_gasLimit >= minimumGasLimit(), "SystemConfig: gas limit too low");
        gasLimit = _gasLimit;

        bytes memory data = abi.encode(_gasLimit);
        emit ConfigUpdate(VERSION, UpdateType.GAS_LIMIT, data);
    }

    /// @notice A getter for the resource config.
    ///         Ensures that the struct is returned instead of a tuple.
    /// @return ResourceConfig
    function resourceConfig() external view returns (ResourceMetering.ResourceConfig memory) {
        return _resourceConfig;
    }

    /// @notice An external setter for the resource config.
    ///         In the future, this method may emit an event that the `op-node` picks up
    ///         for when the resource config is changed.
    /// @param _config The new resource config values.
    function setResourceConfig(ResourceMetering.ResourceConfig memory _config) external onlyOwner {
        _setResourceConfig(_config);
    }

    /// @notice An internal setter for the resource config.
    ///         Ensures that the config is sane before storing it by checking for invariants.
    /// @param _config The new resource config.
    function _setResourceConfig(ResourceMetering.ResourceConfig memory _config) internal {
        // Min base fee must be less than or equal to max base fee.
        require(
            _config.minimumBaseFee <= _config.maximumBaseFee, "SystemConfig: min base fee must be less than max base"
        );
        // Base fee change denominator must be greater than 1.
        require(_config.baseFeeMaxChangeDenominator > 1, "SystemConfig: denominator must be larger than 1");
        // Max resource limit plus system tx gas must be less than or equal to the L2 gas limit.
        // The gas limit must be increased before these values can be increased.
        require(_config.maxResourceLimit + _config.systemTxMaxGas <= gasLimit, "SystemConfig: gas limit too low");
        // Elasticity multiplier must be greater than 0.
        require(_config.elasticityMultiplier > 0, "SystemConfig: elasticity multiplier cannot be 0");
        // No precision loss when computing target resource limit.
        require(
            ((_config.maxResourceLimit / _config.elasticityMultiplier) * _config.elasticityMultiplier)
                == _config.maxResourceLimit,
            "SystemConfig: precision loss with target resource limit"
        );

        _resourceConfig = _config;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

import "../utils/ContextUpgradeable.sol";
import "../proxy/utils/Initializable.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 OwnableUpgradeable is Initializable, ContextUpgradeable {
    address private _owner;

    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    function __Ownable_init() internal onlyInitializing {
        __Ownable_init_unchained();
    }

    function __Ownable_init_unchained() internal onlyInitializing {
        _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);
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[49] private __gap;
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

/// @title ISemver
/// @notice ISemver is a simple contract for ensuring that contracts are
///         versioned using semantic versioning.
interface ISemver {
    /// @notice Getter for the semantic version of the contract. This is not
    ///         meant to be used onchain but instead meant to be used by offchain
    ///         tooling.
    /// @return Semver contract version as a string.
    function version() external view returns (string memory);
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.15;

import { Initializable } from "@openzeppelin/contracts/proxy/utils/Initializable.sol";
import { Math } from "@openzeppelin/contracts/utils/math/Math.sol";
import { Burn } from "src/libraries/Burn.sol";
import { Arithmetic } from "src/libraries/Arithmetic.sol";

/// @custom:upgradeable
/// @title ResourceMetering
/// @notice ResourceMetering implements an EIP-1559 style resource metering system where pricing
///         updates automatically based on current demand.
abstract contract ResourceMetering is Initializable {
    /// @notice Represents the various parameters that control the way in which resources are
    ///         metered. Corresponds to the EIP-1559 resource metering system.
    /// @custom:field prevBaseFee   Base fee from the previous block(s).
    /// @custom:field prevBoughtGas Amount of gas bought so far in the current block.
    /// @custom:field prevBlockNum  Last block number that the base fee was updated.
    struct ResourceParams {
        uint128 prevBaseFee;
        uint64 prevBoughtGas;
        uint64 prevBlockNum;
    }

    /// @notice Represents the configuration for the EIP-1559 based curve for the deposit gas
    ///         market. These values should be set with care as it is possible to set them in
    ///         a way that breaks the deposit gas market. The target resource limit is defined as
    ///         maxResourceLimit / elasticityMultiplier. This struct was designed to fit within a
    ///         single word. There is additional space for additions in the future.
    /// @custom:field maxResourceLimit             Represents the maximum amount of deposit gas that
    ///                                            can be purchased per block.
    /// @custom:field elasticityMultiplier         Determines the target resource limit along with
    ///                                            the resource limit.
    /// @custom:field baseFeeMaxChangeDenominator  Determines max change on fee per block.
    /// @custom:field minimumBaseFee               The min deposit base fee, it is clamped to this
    ///                                            value.
    /// @custom:field systemTxMaxGas               The amount of gas supplied to the system
    ///                                            transaction. This should be set to the same
    ///                                            number that the op-node sets as the gas limit
    ///                                            for the system transaction.
    /// @custom:field maximumBaseFee               The max deposit base fee, it is clamped to this
    ///                                            value.
    struct ResourceConfig {
        uint32 maxResourceLimit;
        uint8 elasticityMultiplier;
        uint8 baseFeeMaxChangeDenominator;
        uint32 minimumBaseFee;
        uint32 systemTxMaxGas;
        uint128 maximumBaseFee;
    }

    /// @notice EIP-1559 style gas parameters.
    ResourceParams public params;

    /// @notice Reserve extra slots (to a total of 50) in the storage layout for future upgrades.
    uint256[48] private __gap;

    /// @notice Meters access to a function based an amount of a requested resource.
    /// @param _amount Amount of the resource requested.
    modifier metered(uint64 _amount) {
        // Record initial gas amount so we can refund for it later.
        uint256 initialGas = gasleft();

        // Run the underlying function.
        _;

        // Run the metering function.
        _metered(_amount, initialGas);
    }

    /// @notice An internal function that holds all of the logic for metering a resource.
    /// @param _amount     Amount of the resource requested.
    /// @param _initialGas The amount of gas before any modifier execution.
    function _metered(uint64 _amount, uint256 _initialGas) internal {
        // Update block number and base fee if necessary.
        uint256 blockDiff = block.number - params.prevBlockNum;

        ResourceConfig memory config = _resourceConfig();
        int256 targetResourceLimit =
            int256(uint256(config.maxResourceLimit)) / int256(uint256(config.elasticityMultiplier));

        if (blockDiff > 0) {
            // Handle updating EIP-1559 style gas parameters. We use EIP-1559 to restrict the rate
            // at which deposits can be created and therefore limit the potential for deposits to
            // spam the L2 system. Fee scheme is very similar to EIP-1559 with minor changes.
            int256 gasUsedDelta = int256(uint256(params.prevBoughtGas)) - targetResourceLimit;
            int256 baseFeeDelta = (int256(uint256(params.prevBaseFee)) * gasUsedDelta)
                / (targetResourceLimit * int256(uint256(config.baseFeeMaxChangeDenominator)));

            // Update base fee by adding the base fee delta and clamp the resulting value between
            // min and max.
            int256 newBaseFee = Arithmetic.clamp({
                _value: int256(uint256(params.prevBaseFee)) + baseFeeDelta,
                _min: int256(uint256(config.minimumBaseFee)),
                _max: int256(uint256(config.maximumBaseFee))
            });

            // If we skipped more than one block, we also need to account for every empty block.
            // Empty block means there was no demand for deposits in that block, so we should
            // reflect this lack of demand in the fee.
            if (blockDiff > 1) {
                // Update the base fee by repeatedly applying the exponent 1-(1/change_denominator)
                // blockDiff - 1 times. Simulates multiple empty blocks. Clamp the resulting value
                // between min and max.
                newBaseFee = Arithmetic.clamp({
                    _value: Arithmetic.cdexp({
                        _coefficient: newBaseFee,
                        _denominator: int256(uint256(config.baseFeeMaxChangeDenominator)),
                        _exponent: int256(blockDiff - 1)
                    }),
                    _min: int256(uint256(config.minimumBaseFee)),
                    _max: int256(uint256(config.maximumBaseFee))
                });
            }

            // Update new base fee, reset bought gas, and update block number.
            params.prevBaseFee = uint128(uint256(newBaseFee));
            params.prevBoughtGas = 0;
            params.prevBlockNum = uint64(block.number);
        }

        // Make sure we can actually buy the resource amount requested by the user.
        params.prevBoughtGas += _amount;
        require(
            int256(uint256(params.prevBoughtGas)) <= int256(uint256(config.maxResourceLimit)),
            "ResourceMetering: cannot buy more gas than available gas limit"
        );

        // Determine the amount of ETH to be paid.
        uint256 resourceCost = uint256(_amount) * uint256(params.prevBaseFee);

        // We currently charge for this ETH amount as an L1 gas burn, so we convert the ETH amount
        // into gas by dividing by the L1 base fee. We assume a minimum base fee of 1 gwei to avoid
        // division by zero for L1s that don't support 1559 or to avoid excessive gas burns during
        // periods of extremely low L1 demand. One-day average gas fee hasn't dipped below 1 gwei
        // during any 1 day period in the last 5 years, so should be fine.
        uint256 gasCost = resourceCost / Math.max(block.basefee, 1 gwei);

        // Give the user a refund based on the amount of gas they used to do all of the work up to
        // this point. Since we're at the end of the modifier, this should be pretty accurate. Acts
        // effectively like a dynamic stipend (with a minimum value).
        uint256 usedGas = _initialGas - gasleft();
        if (gasCost > usedGas) {
            Burn.gas(gasCost - usedGas);
        }
    }

    /// @notice Virtual function that returns the resource config.
    ///         Contracts that inherit this contract must implement this function.
    /// @return ResourceConfig
    function _resourceConfig() internal virtual returns (ResourceConfig memory);

    /// @notice Sets initial resource parameter values.
    ///         This function must either be called by the initializer function of an upgradeable
    ///         child contract.
    // solhint-disable-next-line func-name-mixedcase
    function __ResourceMetering_init() internal onlyInitializing {
        params = ResourceParams({ prevBaseFee: 1 gwei, prevBoughtGas: 0, prevBlockNum: uint64(block.number) });
    }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

/// @title Storage
/// @notice Storage handles reading and writing to arbitary storage locations
library Storage {
    /// @notice Returns an address stored in an arbitrary storage slot.
    ///         These storage slots decouple the storage layout from
    ///         solc's automation.
    /// @param _slot The storage slot to retrieve the address from.
    function getAddress(bytes32 _slot) internal view returns (address addr_) {
        assembly {
            addr_ := sload(_slot)
        }
    }

    /// @notice Stores an address in an arbitrary storage slot, `_slot`.
    /// @param _slot The storage slot to store the address in.
    /// @param _address The protocol version to store
    /// @dev WARNING! This function must be used cautiously, as it allows for overwriting addresses
    ///      in arbitrary storage slots.
    function setAddress(bytes32 _slot, address _address) internal {
        assembly {
            sstore(_slot, _address)
        }
    }

    /// @notice Returns a uint256 stored in an arbitrary storage slot.
    ///         These storage slots decouple the storage layout from
    ///         solc's automation.
    /// @param _slot The storage slot to retrieve the address from.
    function getUint(bytes32 _slot) internal view returns (uint256 value_) {
        assembly {
            value_ := sload(_slot)
        }
    }

    /// @notice Stores a value in an arbitrary storage slot, `_slot`.
    /// @param _slot The storage slot to store the address in.
    /// @param _value The protocol version to store
    /// @dev WARNING! This function must be used cautiously, as it allows for overwriting values
    ///      in arbitrary storage slots.
    function setUint(bytes32 _slot, uint256 _value) internal {
        assembly {
            sstore(_slot, _value)
        }
    }

    /// @notice Returns a bytes32 stored in an arbitrary storage slot.
    ///         These storage slots decouple the storage layout from
    ///         solc's automation.
    /// @param _slot The storage slot to retrieve the address from.
    function getBytes32(bytes32 _slot) internal view returns (bytes32 value_) {
        assembly {
            value_ := sload(_slot)
        }
    }

    /// @notice Stores a bytes32 value in an arbitrary storage slot, `_slot`.
    /// @param _slot The storage slot to store the address in.
    /// @param _value The protocol version to store
    /// @dev WARNING! This function must be used cautiously, as it allows for overwriting values
    ///      in arbitrary storage slots.
    function setBytes32(bytes32 _slot, bytes32 _value) internal {
        assembly {
            sstore(_slot, _value)
        }
    }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

import { ResourceMetering } from "../L1/ResourceMetering.sol";

/// @title Constants
/// @notice Constants is a library for storing constants. Simple! Don't put everything in here, just
///         the stuff used in multiple contracts. Constants that only apply to a single contract
///         should be defined in that contract instead.
library Constants {
    /// @notice Special address to be used as the tx origin for gas estimation calls in the
    ///         OptimismPortal and CrossDomainMessenger calls. You only need to use this address if
    ///         the minimum gas limit specified by the user is not actually enough to execute the
    ///         given message and you're attempting to estimate the actual necessary gas limit. We
    ///         use address(1) because it's the ecrecover precompile and therefore guaranteed to
    ///         never have any code on any EVM chain.
    address internal constant ESTIMATION_ADDRESS = address(1);

    /// @notice Value used for the L2 sender storage slot in both the OptimismPortal and the
    ///         CrossDomainMessenger contracts before an actual sender is set. This value is
    ///         non-zero to reduce the gas cost of message passing transactions.
    address internal constant DEFAULT_L2_SENDER = 0x000000000000000000000000000000000000dEaD;

    /// @notice The storage slot that holds the address of a proxy implementation.
    /// @dev `bytes32(uint256(keccak256('eip1967.proxy.implementation')) - 1)`
    bytes32 internal constant PROXY_IMPLEMENTATION_ADDRESS =
        0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;

    /// @notice The storage slot that holds the address of the owner.
    /// @dev `bytes32(uint256(keccak256('eip1967.proxy.admin')) - 1)`
    bytes32 internal constant PROXY_OWNER_ADDRESS = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;

    /// @notice Returns the default values for the ResourceConfig. These are the recommended values
    ///         for a production network.
    function DEFAULT_RESOURCE_CONFIG() internal pure returns (ResourceMetering.ResourceConfig memory) {
        ResourceMetering.ResourceConfig memory config = ResourceMetering.ResourceConfig({
            maxResourceLimit: 20_000_000,
            elasticityMultiplier: 10,
            baseFeeMaxChangeDenominator: 8,
            minimumBaseFee: 1 gwei,
            systemTxMaxGas: 1_000_000,
            maximumBaseFee: type(uint128).max
        });
        return config;
    }

    /// @notice The `reinitailizer` input for upgradable contracts. This value must be updated
    ///         each time that the contracts are deployed.
    uint8 internal constant INITIALIZER = 3;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;
import "../proxy/utils/Initializable.sol";

/**
 * @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 ContextUpgradeable is Initializable {
    function __Context_init() internal onlyInitializing {
    }

    function __Context_init_unchained() internal onlyInitializing {
    }
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[50] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;

import "../../utils/AddressUpgradeable.sol";

/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
 * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
 * case an upgrade adds a module that needs to be initialized.
 *
 * For example:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * contract MyToken is ERC20Upgradeable {
 *     function initialize() initializer public {
 *         __ERC20_init("MyToken", "MTK");
 *     }
 * }
 * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
 *     function initializeV2() reinitializer(2) public {
 *         __ERC20Permit_init("MyToken");
 *     }
 * }
 * ```
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 *
 * [CAUTION]
 * ====
 * Avoid leaving a contract uninitialized.
 *
 * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
 * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
 * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * /// @custom:oz-upgrades-unsafe-allow constructor
 * constructor() {
 *     _disableInitializers();
 * }
 * ```
 * ====
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     * @custom:oz-retyped-from bool
     */
    uint8 private _initialized;

    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;

    /**
     * @dev Triggered when the contract has been initialized or reinitialized.
     */
    event Initialized(uint8 version);

    /**
     * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
     * `onlyInitializing` functions can be used to initialize parent contracts. Equivalent to `reinitializer(1)`.
     */
    modifier initializer() {
        bool isTopLevelCall = !_initializing;
        require(
            (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
            "Initializable: contract is already initialized"
        );
        _initialized = 1;
        if (isTopLevelCall) {
            _initializing = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
            emit Initialized(1);
        }
    }

    /**
     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
     * used to initialize parent contracts.
     *
     * `initializer` is equivalent to `reinitializer(1)`, so a reinitializer may be used after the original
     * initialization step. This is essential to configure modules that are added through upgrades and that require
     * initialization.
     *
     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
     * a contract, executing them in the right order is up to the developer or operator.
     */
    modifier reinitializer(uint8 version) {
        require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
        _initialized = version;
        _initializing = true;
        _;
        _initializing = false;
        emit Initialized(version);
    }

    /**
     * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
     * {initializer} and {reinitializer} modifiers, directly or indirectly.
     */
    modifier onlyInitializing() {
        require(_initializing, "Initializable: contract is not initializing");
        _;
    }

    /**
     * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
     * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
     * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
     * through proxies.
     */
    function _disableInitializers() internal virtual {
        require(!_initializing, "Initializable: contract is initializing");
        if (_initialized < type(uint8).max) {
            _initialized = type(uint8).max;
            emit Initialized(type(uint8).max);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;

import "../../utils/Address.sol";

/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
 * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
 * case an upgrade adds a module that needs to be initialized.
 *
 * For example:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * contract MyToken is ERC20Upgradeable {
 *     function initialize() initializer public {
 *         __ERC20_init("MyToken", "MTK");
 *     }
 * }
 * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
 *     function initializeV2() reinitializer(2) public {
 *         __ERC20Permit_init("MyToken");
 *     }
 * }
 * ```
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 *
 * [CAUTION]
 * ====
 * Avoid leaving a contract uninitialized.
 *
 * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
 * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
 * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * /// @custom:oz-upgrades-unsafe-allow constructor
 * constructor() {
 *     _disableInitializers();
 * }
 * ```
 * ====
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     * @custom:oz-retyped-from bool
     */
    uint8 private _initialized;

    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;

    /**
     * @dev Triggered when the contract has been initialized or reinitialized.
     */
    event Initialized(uint8 version);

    /**
     * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
     * `onlyInitializing` functions can be used to initialize parent contracts. Equivalent to `reinitializer(1)`.
     */
    modifier initializer() {
        bool isTopLevelCall = !_initializing;
        require(
            (isTopLevelCall && _initialized < 1) || (!Address.isContract(address(this)) && _initialized == 1),
            "Initializable: contract is already initialized"
        );
        _initialized = 1;
        if (isTopLevelCall) {
            _initializing = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
            emit Initialized(1);
        }
    }

    /**
     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
     * used to initialize parent contracts.
     *
     * `initializer` is equivalent to `reinitializer(1)`, so a reinitializer may be used after the original
     * initialization step. This is essential to configure modules that are added through upgrades and that require
     * initialization.
     *
     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
     * a contract, executing them in the right order is up to the developer or operator.
     */
    modifier reinitializer(uint8 version) {
        require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
        _initialized = version;
        _initializing = true;
        _;
        _initializing = false;
        emit Initialized(version);
    }

    /**
     * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
     * {initializer} and {reinitializer} modifiers, directly or indirectly.
     */
    modifier onlyInitializing() {
        require(_initializing, "Initializable: contract is not initializing");
        _;
    }

    /**
     * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
     * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
     * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
     * through proxies.
     */
    function _disableInitializers() internal virtual {
        require(!_initializing, "Initializable: contract is initializing");
        if (_initialized < type(uint8).max) {
            _initialized = type(uint8).max;
            emit Initialized(type(uint8).max);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (utils/math/Math.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    enum Rounding {
        Down, // Toward negative infinity
        Up, // Toward infinity
        Zero // Toward zero
    }

    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a >= b ? a : b;
    }

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

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

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds up instead
     * of rounding down.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

    /**
     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
     * with further edits by Uniswap Labs also under MIT license.
     */
    function mulDiv(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
            // 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(x, y, not(0))
                prod0 := mul(x, y)
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                return prod0 / denominator;
            }

            // 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].
            uint256 remainder;
            assembly {
                // Compute remainder using mulmod.
                remainder := mulmod(x, y, denominator)

                // Subtract 256 bit number from 512 bit number.
                prod1 := sub(prod1, gt(remainder, prod0))
                prod0 := sub(prod0, remainder)
            }

            // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
            // See https://cs.stackexchange.com/q/138556/92363.

            // Does not overflow because the denominator cannot be zero at this stage in the function.
            uint256 twos = denominator & (~denominator + 1);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

                // Divide [prod1 prod0] by twos.
                prod0 := div(prod0, twos)

                // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                twos := add(div(sub(0, twos), twos), 1)
            }

            // Shift in bits from prod1 into prod0.
            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 for
            // four bits. That is, denominator * inv = 1 mod 2^4.
            uint256 inverse = (3 * denominator) ^ 2;

            // Use the 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.
            inverse *= 2 - denominator * inverse; // inverse mod 2^8
            inverse *= 2 - denominator * inverse; // inverse mod 2^16
            inverse *= 2 - denominator * inverse; // inverse mod 2^32
            inverse *= 2 - denominator * inverse; // inverse mod 2^64
            inverse *= 2 - denominator * inverse; // inverse mod 2^128
            inverse *= 2 - denominator * inverse; // 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 preconditions 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 * inverse;
            return result;
        }
    }

    /**
     * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
     */
    function mulDiv(
        uint256 x,
        uint256 y,
        uint256 denominator,
        Rounding rounding
    ) internal pure returns (uint256) {
        uint256 result = mulDiv(x, y, denominator);
        if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
            result += 1;
        }
        return result;
    }

    /**
     * @dev Returns the square root of a number. It the number is not a perfect square, the value is rounded down.
     *
     * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
     */
    function sqrt(uint256 a) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }

        // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
        // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
        // `msb(a) <= a < 2*msb(a)`.
        // We also know that `k`, the position of the most significant bit, is such that `msb(a) = 2**k`.
        // This gives `2**k < a <= 2**(k+1)` → `2**(k/2) <= sqrt(a) < 2 ** (k/2+1)`.
        // Using an algorithm similar to the msb conmputation, we are able to compute `result = 2**(k/2)` which is a
        // good first aproximation of `sqrt(a)` with at least 1 correct bit.
        uint256 result = 1;
        uint256 x = a;
        if (x >> 128 > 0) {
            x >>= 128;
            result <<= 64;
        }
        if (x >> 64 > 0) {
            x >>= 64;
            result <<= 32;
        }
        if (x >> 32 > 0) {
            x >>= 32;
            result <<= 16;
        }
        if (x >> 16 > 0) {
            x >>= 16;
            result <<= 8;
        }
        if (x >> 8 > 0) {
            x >>= 8;
            result <<= 4;
        }
        if (x >> 4 > 0) {
            x >>= 4;
            result <<= 2;
        }
        if (x >> 2 > 0) {
            result <<= 1;
        }

        // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
        // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
        // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
        // into the expected uint128 result.
        unchecked {
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            return min(result, a / result);
        }
    }

    /**
     * @notice Calculates sqrt(a), following the selected rounding direction.
     */
    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
        uint256 result = sqrt(a);
        if (rounding == Rounding.Up && result * result < a) {
            result += 1;
        }
        return result;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.15;

/// @title Burn
/// @notice Utilities for burning stuff.
library Burn {
    /// @notice Burns a given amount of ETH.
    /// @param _amount Amount of ETH to burn.
    function eth(uint256 _amount) internal {
        new Burner{ value: _amount }();
    }

    /// @notice Burns a given amount of gas.
    /// @param _amount Amount of gas to burn.
    function gas(uint256 _amount) internal view {
        uint256 i = 0;
        uint256 initialGas = gasleft();
        while (initialGas - gasleft() < _amount) {
            ++i;
        }
    }
}

/// @title Burner
/// @notice Burner self-destructs on creation and sends all ETH to itself, removing all ETH given to
///         the contract from the circulating supply. Self-destructing is the only way to remove ETH
///         from the circulating supply.
contract Burner {
    constructor() payable {
        selfdestruct(payable(address(this)));
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.15;

import { SignedMath } from "@openzeppelin/contracts/utils/math/SignedMath.sol";
import { FixedPointMathLib } from "@rari-capital/solmate/src/utils/FixedPointMathLib.sol";

/// @title Arithmetic
/// @notice Even more math than before.
library Arithmetic {
    /// @notice Clamps a value between a minimum and maximum.
    /// @param _value The value to clamp.
    /// @param _min   The minimum value.
    /// @param _max   The maximum value.
    /// @return The clamped value.
    function clamp(int256 _value, int256 _min, int256 _max) internal pure returns (int256) {
        return SignedMath.min(SignedMath.max(_value, _min), _max);
    }

    /// @notice (c)oefficient (d)enominator (exp)onentiation function.
    ///         Returns the result of: c * (1 - 1/d)^exp.
    /// @param _coefficient Coefficient of the function.
    /// @param _denominator Fractional denominator.
    /// @param _exponent    Power function exponent.
    /// @return Result of c * (1 - 1/d)^exp.
    function cdexp(int256 _coefficient, int256 _denominator, int256 _exponent) internal pure returns (int256) {
        return (_coefficient * (FixedPointMathLib.powWad(1e18 - (1e18 / _denominator), _exponent * 1e18))) / 1e18;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library AddressUpgradeable {
    /**
     * @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 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");

        (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");

        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason 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 {
            // 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 (last updated v4.7.0) (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 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");

        (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");

        (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");

        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason 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 {
            // 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 (last updated v4.5.0) (utils/math/SignedMath.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard signed math utilities missing in the Solidity language.
 */
library SignedMath {
    /**
     * @dev Returns the largest of two signed numbers.
     */
    function max(int256 a, int256 b) internal pure returns (int256) {
        return a >= b ? a : b;
    }

    /**
     * @dev Returns the smallest of two signed numbers.
     */
    function min(int256 a, int256 b) internal pure returns (int256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two signed numbers without overflow.
     * The result is rounded towards zero.
     */
    function average(int256 a, int256 b) internal pure returns (int256) {
        // Formula from the book "Hacker's Delight"
        int256 x = (a & b) + ((a ^ b) >> 1);
        return x + (int256(uint256(x) >> 255) & (a ^ b));
    }

    /**
     * @dev Returns the absolute unsigned value of a signed value.
     */
    function abs(int256 n) internal pure returns (uint256) {
        unchecked {
            // must be unchecked in order to support `n = type(int256).min`
            return uint256(n >= 0 ? n : -n);
        }
    }
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.8.0;

/// @notice Arithmetic library with operations for fixed-point numbers.
/// @author Solmate (https://github.com/Rari-Capital/solmate/blob/main/src/utils/FixedPointMathLib.sol)
library FixedPointMathLib {
    /*//////////////////////////////////////////////////////////////
                    SIMPLIFIED FIXED POINT OPERATIONS
    //////////////////////////////////////////////////////////////*/

    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.
    }

    function powWad(int256 x, int256 y) internal pure returns (int256) {
        // Equivalent to x to the power of y because x ** y = (e ** ln(x)) ** y = e ** (ln(x) * y)
        return expWad((lnWad(x) * y) / int256(WAD)); // Using ln(x) means x must be greater than 0.
    }

    function expWad(int256 x) internal pure returns (int256 r) {
        unchecked {
            // When the result is < 0.5 we return zero. This happens when
            // x <= floor(log(0.5e18) * 1e18) ~ -42e18
            if (x <= -42139678854452767551) return 0;

            // When the result is > (2**255 - 1) / 1e18 we can not represent it as an
            // int. This happens when x >= floor(log((2**255 - 1) / 1e18) * 1e18) ~ 135.
            if (x >= 135305999368893231589) revert("EXP_OVERFLOW");

            // x is now in the range (-42, 136) * 1e18. Convert to (-42, 136) * 2**96
            // for more intermediate precision and a binary basis. This base conversion
            // is a multiplication by 1e18 / 2**96 = 5**18 / 2**78.
            x = (x << 78) / 5**18;

            // Reduce range of x to (-½ ln 2, ½ ln 2) * 2**96 by factoring out powers
            // of two such that exp(x) = exp(x') * 2**k, where k is an integer.
            // Solving this gives k = round(x / log(2)) and x' = x - k * log(2).
            int256 k = ((x << 96) / 54916777467707473351141471128 + 2**95) >> 96;
            x = x - k * 54916777467707473351141471128;

            // k is in the range [-61, 195].

            // Evaluate using a (6, 7)-term rational approximation.
            // p is made monic, we'll multiply by a scale factor later.
            int256 y = x + 1346386616545796478920950773328;
            y = ((y * x) >> 96) + 57155421227552351082224309758442;
            int256 p = y + x - 94201549194550492254356042504812;
            p = ((p * y) >> 96) + 28719021644029726153956944680412240;
            p = p * x + (4385272521454847904659076985693276 << 96);

            // We leave p in 2**192 basis so we don't need to scale it back up for the division.
            int256 q = x - 2855989394907223263936484059900;
            q = ((q * x) >> 96) + 50020603652535783019961831881945;
            q = ((q * x) >> 96) - 533845033583426703283633433725380;
            q = ((q * x) >> 96) + 3604857256930695427073651918091429;
            q = ((q * x) >> 96) - 14423608567350463180887372962807573;
            q = ((q * x) >> 96) + 26449188498355588339934803723976023;

            assembly {
                // Div in assembly because solidity adds a zero check despite the unchecked.
                // The q polynomial won't have zeros in the domain as all its roots are complex.
                // No scaling is necessary because p is already 2**96 too large.
                r := sdiv(p, q)
            }

            // r should be in the range (0.09, 0.25) * 2**96.

            // We now need to multiply r by:
            // * the scale factor s = ~6.031367120.
            // * the 2**k factor from the range reduction.
            // * the 1e18 / 2**96 factor for base conversion.
            // We do this all at once, with an intermediate result in 2**213
            // basis, so the final right shift is always by a positive amount.
            r = int256((uint256(r) * 3822833074963236453042738258902158003155416615667) >> uint256(195 - k));
        }
    }

    function lnWad(int256 x) internal pure returns (int256 r) {
        unchecked {
            require(x > 0, "UNDEFINED");

            // We want to convert x from 10**18 fixed point to 2**96 fixed point.
            // We do this by multiplying by 2**96 / 10**18. But since
            // ln(x * C) = ln(x) + ln(C), we can simply do nothing here
            // and add ln(2**96 / 10**18) at the end.

            // Reduce range of x to (1, 2) * 2**96
            // ln(2^k * x) = k * ln(2) + ln(x)
            int256 k = int256(log2(uint256(x))) - 96;
            x <<= uint256(159 - k);
            x = int256(uint256(x) >> 159);

            // Evaluate using a (8, 8)-term rational approximation.
            // p is made monic, we will multiply by a scale factor later.
            int256 p = x + 3273285459638523848632254066296;
            p = ((p * x) >> 96) + 24828157081833163892658089445524;
            p = ((p * x) >> 96) + 43456485725739037958740375743393;
            p = ((p * x) >> 96) - 11111509109440967052023855526967;
            p = ((p * x) >> 96) - 45023709667254063763336534515857;
            p = ((p * x) >> 96) - 14706773417378608786704636184526;
            p = p * x - (795164235651350426258249787498 << 96);

            // We leave p in 2**192 basis so we don't need to scale it back up for the division.
            // q is monic by convention.
            int256 q = x + 5573035233440673466300451813936;
            q = ((q * x) >> 96) + 71694874799317883764090561454958;
            q = ((q * x) >> 96) + 283447036172924575727196451306956;
            q = ((q * x) >> 96) + 401686690394027663651624208769553;
            q = ((q * x) >> 96) + 204048457590392012362485061816622;
            q = ((q * x) >> 96) + 31853899698501571402653359427138;
            q = ((q * x) >> 96) + 909429971244387300277376558375;
            assembly {
                // Div in assembly because solidity adds a zero check despite the unchecked.
                // The q polynomial is known not to have zeros in the domain.
                // No scaling required because p is already 2**96 too large.
                r := sdiv(p, q)
            }

            // r is in the range (0, 0.125) * 2**96

            // Finalization, we need to:
            // * multiply by the scale factor s = 5.549…
            // * add ln(2**96 / 10**18)
            // * add k * ln(2)
            // * multiply by 10**18 / 2**96 = 5**18 >> 78

            // mul s * 5e18 * 2**96, base is now 5**18 * 2**192
            r *= 1677202110996718588342820967067443963516166;
            // add ln(2) * k * 5e18 * 2**192
            r += 16597577552685614221487285958193947469193820559219878177908093499208371 * k;
            // add ln(2**96 / 10**18) * 5e18 * 2**192
            r += 600920179829731861736702779321621459595472258049074101567377883020018308;
            // base conversion: mul 2**18 / 2**192
            r >>= 174;
        }
    }

    /*//////////////////////////////////////////////////////////////
                    LOW LEVEL FIXED POINT OPERATIONS
    //////////////////////////////////////////////////////////////*/

    function mulDivDown(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 z) {
        assembly {
            // Store x * y in z for now.
            z := mul(x, y)

            // Equivalent to require(denominator != 0 && (x == 0 || (x * y) / x == y))
            if iszero(and(iszero(iszero(denominator)), or(iszero(x), eq(div(z, x), y)))) {
                revert(0, 0)
            }

            // Divide z by the denominator.
            z := div(z, denominator)
        }
    }

    function mulDivUp(
        uint256 x,
        uint256 y,
        uint256 denominator
    ) internal pure returns (uint256 z) {
        assembly {
            // Store x * y in z for now.
            z := mul(x, y)

            // Equivalent to require(denominator != 0 && (x == 0 || (x * y) / x == y))
            if iszero(and(iszero(iszero(denominator)), or(iszero(x), eq(div(z, x), y)))) {
                revert(0, 0)
            }

            // First, divide z - 1 by the denominator and add 1.
            // We allow z - 1 to underflow if z is 0, because we multiply the
            // end result by 0 if z is zero, ensuring we return 0 if z is zero.
            z := mul(iszero(iszero(z)), add(div(sub(z, 1), denominator), 1))
        }
    }

    function rpow(
        uint256 x,
        uint256 n,
        uint256 scalar
    ) internal pure returns (uint256 z) {
        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) {
        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 log2(uint256 x) internal pure returns (uint256 r) {
        require(x > 0, "UNDEFINED");

        assembly {
            r := shl(7, lt(0xffffffffffffffffffffffffffffffff, x))
            r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, x))))
            r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
            r := or(r, shl(4, lt(0xffff, shr(r, x))))
            r := or(r, shl(3, lt(0xff, shr(r, x))))
            r := or(r, shl(2, lt(0xf, shr(r, x))))
            r := or(r, shl(1, lt(0x3, shr(r, x))))
            r := or(r, lt(0x1, shr(r, x)))
        }
    }
}

{
  "remappings": [
    "@cwia/=lib/clones-with-immutable-args/src/",
    "@openzeppelin/contracts-upgradeable/=lib/openzeppelin-contracts-upgradeable/contracts/",
    "@openzeppelin/contracts/=lib/openzeppelin-contracts/contracts/",
    "@rari-capital/solmate/=lib/solmate/",
    "clones-with-immutable-args/=lib/clones-with-immutable-args/src/",
    "ds-test/=lib/forge-std/lib/ds-test/src/",
    "forge-std/=lib/forge-std/src/",
    "openzeppelin-contracts-upgradeable/=lib/openzeppelin-contracts-upgradeable/",
    "openzeppelin-contracts/=lib/openzeppelin-contracts/",
    "safe-contracts/=lib/safe-contracts/contracts/",
    "solmate/=lib/solmate/src/"
  ],
  "optimizer": {
    "enabled": true,
    "runs": 999999
  },
  "metadata": {
    "bytecodeHash": "none"
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "evmVersion": "london",
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

[{"inputs":[],"stateMutability":"nonpayable","type":"constructor"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"uint256","name":"version","type":"uint256"},{"indexed":true,"internalType":"enum SystemConfig.UpdateType","name":"updateType","type":"uint8"},{"indexed":false,"internalType":"bytes","name":"data","type":"bytes"}],"name":"ConfigUpdate","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint8","name":"version","type":"uint8"}],"name":"Initialized","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"previousOwner","type":"address"},{"indexed":true,"internalType":"address","name":"newOwner","type":"address"}],"name":"OwnershipTransferred","type":"event"},{"inputs":[],"name":"BATCH_INBOX_SLOT","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"L1_CROSS_DOMAIN_MESSENGER_SLOT","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"L1_ERC_721_BRIDGE_SLOT","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"L1_STANDARD_BRIDGE_SLOT","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"L2_OUTPUT_ORACLE_SLOT","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"OPTIMISM_MINTABLE_ERC20_FACTORY_SLOT","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"OPTIMISM_PORTAL_SLOT","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"UNSAFE_BLOCK_SIGNER_SLOT","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"VERSION","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"batchInbox","outputs":[{"internalType":"address","name":"addr_","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"batcherHash","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"gasLimit","outputs":[{"internalType":"uint64","name":"","type":"uint64"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"_owner","type":"address"},{"internalType":"uint256","name":"_overhead","type":"uint256"},{"internalType":"uint256","name":"_scalar","type":"uint256"},{"internalType":"bytes32","name":"_batcherHash","type":"bytes32"},{"internalType":"uint64","name":"_gasLimit","type":"uint64"},{"internalType":"address","name":"_unsafeBlockSigner","type":"address"},{"components":[{"internalType":"uint32","name":"maxResourceLimit","type":"uint32"},{"internalType":"uint8","name":"elasticityMultiplier","type":"uint8"},{"internalType":"uint8","name":"baseFeeMaxChangeDenominator","type":"uint8"},{"internalType":"uint32","name":"minimumBaseFee","type":"uint32"},{"internalType":"uint32","name":"systemTxMaxGas","type":"uint32"},{"internalType":"uint128","name":"maximumBaseFee","type":"uint128"}],"internalType":"struct ResourceMetering.ResourceConfig","name":"_config","type":"tuple"},{"internalType":"uint256","name":"_startBlock","type":"uint256"},{"internalType":"address","name":"_batchInbox","type":"address"},{"components":[{"internalType":"address","name":"l1CrossDomainMessenger","type":"address"},{"internalType":"address","name":"l1ERC721Bridge","type":"address"},{"internalType":"address","name":"l1StandardBridge","type":"address"},{"internalType":"address","name":"l2OutputOracle","type":"address"},{"internalType":"address","name":"optimismPortal","type":"address"},{"internalType":"address","name":"optimismMintableERC20Factory","type":"address"}],"internalType":"struct SystemConfig.Addresses","name":"_addresses","type":"tuple"}],"name":"initialize","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"l1CrossDomainMessenger","outputs":[{"internalType":"address","name":"addr_","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"l1ERC721Bridge","outputs":[{"internalType":"address","name":"addr_","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"l1StandardBridge","outputs":[{"internalType":"address","name":"addr_","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"l2OutputOracle","outputs":[{"internalType":"address","name":"addr_","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"minimumGasLimit","outputs":[{"internalType":"uint64","name":"","type":"uint64"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"optimismMintableERC20Factory","outputs":[{"internalType":"address","name":"addr_","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"optimismPortal","outputs":[{"internalType":"address","name":"addr_","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"overhead","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"owner","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"renounceOwnership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"resourceConfig","outputs":[{"components":[{"internalType":"uint32","name":"maxResourceLimit","type":"uint32"},{"internalType":"uint8","name":"elasticityMultiplier","type":"uint8"},{"internalType":"uint8","name":"baseFeeMaxChangeDenominator","type":"uint8"},{"internalType":"uint32","name":"minimumBaseFee","type":"uint32"},{"internalType":"uint32","name":"systemTxMaxGas","type":"uint32"},{"internalType":"uint128","name":"maximumBaseFee","type":"uint128"}],"internalType":"struct ResourceMetering.ResourceConfig","name":"","type":"tuple"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"scalar","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes32","name":"_batcherHash","type":"bytes32"}],"name":"setBatcherHash","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"_overhead","type":"uint256"},{"internalType":"uint256","name":"_scalar","type":"uint256"}],"name":"setGasConfig","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint64","name":"_gasLimit","type":"uint64"}],"name":"setGasLimit","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"components":[{"internalType":"uint32","name":"maxResourceLimit","type":"uint32"},{"internalType":"uint8","name":"elasticityMultiplier","type":"uint8"},{"internalType":"uint8","name":"baseFeeMaxChangeDenominator","type":"uint8"},{"internalType":"uint32","name":"minimumBaseFee","type":"uint32"},{"internalType":"uint32","name":"systemTxMaxGas","type":"uint32"},{"internalType":"uint128","name":"maximumBaseFee","type":"uint128"}],"internalType":"struct ResourceMetering.ResourceConfig","name":"_config","type":"tuple"}],"name":"setResourceConfig","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"_unsafeBlockSigner","type":"address"}],"name":"setUnsafeBlockSigner","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"startBlock","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"newOwner","type":"address"}],"name":"transferOwnership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"unsafeBlockSigner","outputs":[{"internalType":"address","name":"addr_","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"version","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"}]

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