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0xAC0dCbe1296ae5aE69351a05e6b5803C3eab644E

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IPOR Protocol: Deployer at txn 0x38bd2cdf09d2eabb6d16ebd0e42a8ce655aa4e4b62094c223ff10c1c8a1fdc18

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Latest 1 from a total of 1 transactions

	Transaction Hash	Method	Block		From		To
	0x38bd2cdf09d2eabb6d16ebd0e42a8ce655aa4e4b62094c223ff10c1c8a1fdc18	0x60a06040	17129452	2023-04-26 9:15:47	507 days ago	1682500547	IPOR Protocol: Deployer	IN	Create: LiquidityMining	0 ETH$0.00	0.18701287	35

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Contract Source Code Verified (Exact Match)

Contract Name:

LiquidityMining

Compiler Version

v0.8.17+commit.8df45f5f

Optimization Enabled:

Yes with 400 runs

Other Settings:

default evmVersion, BSD-3-Clause license

Contract Source Code (Solidity)

IDE

/**
 *Submitted for verification at Etherscan.io on 2023-04-26
*/

// SPDX-License-Identifier: BSD-3-Clause
// File: @openzeppelin/contracts/token/ERC20/IERC20.sol


// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

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

    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

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

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

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

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

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

// File: contracts/interfaces/IStakedToken.sol


pragma solidity 0.8.17;


/// @title Interface of the Staked Token.
interface IStakedToken is IERC20 {
    /**
     * @dev Contract id.
     * The keccak-256 hash of "io.ipor.IporToken" decreased by 1
     */
    function getContractId() external pure returns (bytes32);
}

// File: contracts/interfaces/types/PowerTokenTypes.sol


pragma solidity 0.8.17;

/// @title Struct used across Liquidity Mining.
library PowerTokenTypes {
    struct PwTokenCooldown {
        // @dev The timestamp when the account can redeem Power Tokens
        uint256 endTimestamp;
        // @dev The amount of Power Tokens which can be redeemed without fee when the cooldown reaches `endTimestamp`
        uint256 pwTokenAmount;
    }
}

// File: contracts/interfaces/IPowerTokenInternal.sol


pragma solidity 0.8.17;


/// @title PowerToken smart contract interface
interface IPowerTokenInternal {
    /// @notice Returns the current version of the PowerToken smart contract
    /// @return Current PowerToken smart contract version
    function getVersion() external pure returns (uint256);

    /// @notice Gets the total supply base amount
    /// @return total supply base amount, represented with 18 decimals
    function totalSupplyBase() external view returns (uint256);

    /// @notice Calculates the internal exchange rate between the Staked Token and total supply of a base amount
    /// @return Current exchange rate between the Staked Token and the total supply of a base amount, represented with 18 decimals.
    function calculateExchangeRate() external view returns (uint256);

    /// @notice Method for seting up the unstaking fee
    /// @param unstakeWithoutCooldownFee fee percentage, represented with 18 decimals.
    function setUnstakeWithoutCooldownFee(uint256 unstakeWithoutCooldownFee) external;

    /// @notice method allowing for claiming of the rewards
    /// @param account - address of user claiming rewards
    /// @param rewardsAmount - amount of rewards, represented with 18 decimals.
    function receiveRewardsFromLiquidityMining(address account, uint256 rewardsAmount) external;

    /// @notice method returning address of liquidity rewards contract - the LiquidityMining
    function getLiquidityMining() external view returns (address);

    /// @notice method returning address of the Staked Token
    function getStakedToken() external view returns (address);

    /// @notice Gets the Pause Manager's address
    /// @return Pause Manager's address
    function getPauseManager() external view returns (address);

    /// @notice method for setting up the address of LiquidityMining
    /// @param liquidityMining - the new address of the LiquidityMining contract
    function setLiquidityMining(address liquidityMining) external;

    /// @notice Sets the new Pause Manager address
    /// @param newPauseManagerAddr - new Pause Manager's address
    function setPauseManager(address newPauseManagerAddr) external;

    /// @notice Pauses the smart contract, it can only be executed by the Owner
    /// @dev Emits {Paused} event.
    function pause() external;

    /// @notice Unpauses the smart contract, it can only be executed by the Owner
    /// @dev Emits {Unpaused}.
    function unpause() external;

    /// @notice Emitted when the user receives rewards from the LiquidityMining
    /// @dev Receiving rewards does not change Internal Exchange Rate of Power Tokens in PowerToken smart contract.
    /// @param account address
    /// @param rewardsAmount amount of Power Tokens received from LiquidityMining
    event RewardsReceived(address account, uint256 rewardsAmount);

    /// @notice Emitted when the fee for immediate unstaking is modified.
    /// @param changedBy account address that changed the configuration
    /// @param oldFee old value of the fee, represented with 18 decimals
    /// @param newFee new value of the fee, represented with 18 decimals
    event UnstakeWithoutCooldownFeeChanged(
        address indexed changedBy,
        uint256 oldFee,
        uint256 newFee
    );

    /// @notice Emmited when PauseManager's address had been changed by its owner.
    /// @param changedBy account address that has changed the LiquidityMining's address
    /// @param oldLiquidityMining PauseManager's old address
    /// @param newLiquidityMining PauseManager's new address
    event LiquidityMiningChanged(
        address indexed changedBy,
        address indexed oldLiquidityMining,
        address indexed newLiquidityMining
    );

    /// @notice Emmited when the PauseManager's address is changed by its owner.
    /// @param changedBy account address that has changed the LiquidityMining's address
    /// @param oldPauseManager PauseManager's old address
    /// @param newPauseManager PauseManager's new address
    event PauseManagerChanged(
        address indexed changedBy,
        address indexed oldPauseManager,
        address indexed newPauseManager
    );
}

// File: contracts/interfaces/IPowerToken.sol


pragma solidity 0.8.17;


/// @title The Interface for the interaction with the PowerToken - smart contract responsible
/// for managing Power Token (pwToken), Swapping Staked Token for Power Tokens, and
/// delegating Power Tokens to other components.
interface IPowerToken {
    /// @notice Gets the name of the Power Token
    /// @return Returns the name of the Power Token.
    function name() external pure returns (string memory);

    /// @notice Contract ID. The keccak-256 hash of "io.ipor.PowerToken" decreased by 1
    /// @return Returns the ID of the contract
    function getContractId() external pure returns (bytes32);

    /// @notice Gets the symbol of the Power Token.
    /// @return Returns the symbol of the Power Token.
    function symbol() external pure returns (string memory);

    /// @notice Returns the number of the decimals used by Power Token. By default it's 18 decimals.
    /// @return Returns the number of decimals: 18.
    function decimals() external pure returns (uint8);

    /// @notice Gets the total supply of the Power Token.
    /// @dev Value is calculated in runtime using baseTotalSupply and internal exchange rate.
    /// @return Total supply of Power tokens, represented with 18 decimals
    function totalSupply() external view returns (uint256);

    /// @notice Gets the balance of Power Tokens for a given account
    /// @param account account address for which the balance of Power Tokens is fetched
    /// @return Returns the amount of the Power Tokens owned by the `account`.
    function balanceOf(address account) external view returns (uint256);

    /// @notice Gets the delegated balance of the Power Tokens for a given account.
    /// Tokens are delegated from PowerToken to LiquidityMining smart contract (reponsible for rewards distribution).
    /// @param account account address for which the balance of delegated Power Tokens is checked
    /// @return  Returns the amount of the Power Tokens owned by the `account` and delegated to the LiquidityMining contracts.
    function delegatedToLiquidityMiningBalanceOf(address account) external view returns (uint256);

    /// @notice Gets the rate of the fee from the configuration. This fee is applied when the owner of Power Tokens wants to unstake them immediately.
    /// @dev Fee value represented in as a percentage with 18 decimals
    /// @return value, a percentage represented with 18 decimal
    function getUnstakeWithoutCooldownFee() external view returns (uint256);

    /// @notice Gets the state of the active cooldown for the sender.
    /// @dev If PowerTokenTypes.PowerTokenCoolDown contains only zeros it represents no active cool down.
    /// Struct containing information on when the cooldown end and what is the quantity of the Power Tokens locked.
    /// @param account account address that owns Power Tokens in the cooldown
    /// @return Object PowerTokenTypes.PowerTokenCoolDown represents active cool down
    function getActiveCooldown(address account)
        external
        view
        returns (PowerTokenTypes.PwTokenCooldown memory);

    /// @notice Stakes [Staked] Tokens and mints Power Tokens (pwToken).
    /// @param stakedTokenAmount Tokens that sender staked to mint the Power Tokens
    function stake(uint256 stakedTokenAmount) external;

    /// @notice Unstakes Staked Tokens in the amount specified.
    /// @dev If the sender unstake tokens immediately (without the cooldown), then fee is applied by the PowerToken smart contract. See: `UnstakeWithoutCooldownFee`.
    /// @param pwTokenAmount Power Tokens amount which will be unstake or a given sender
    function unstake(uint256 pwTokenAmount) external;

    /// @notice Delegates the Power Tokens to the LiquidityMining
    /// @param lpTokens - list of lpTokens to which Power Tokens are delegated
    /// @param pwTokenAmounts - list of the amounts of Power Tokens delegated to corresponding lpTokens
    function delegateToLiquidityMining(
        address[] calldata lpTokens,
        uint256[] calldata pwTokenAmounts
    ) external;

    /// @notice Delegates Power Tokens and stakes lpTokens
    /// @dev Power Token amounts can equal zero. lpToken amounts can qual zero.
    /// @param lpTokens - list of lpTokens to which the sender delegates Power Tokens
    /// @param pwTokenAmounts - list of the amounts of Power Tokens delegated to correspondng lpTokens
    /// @param lpTokenAmounts - list of staked lpToken amounts
    function delegateAndStakeToLiquidityMining(
        address[] calldata lpTokens,
        uint256[] calldata pwTokenAmounts,
        uint256[] calldata lpTokenAmounts
    ) external;

    /// @notice Undelegates the Power Tokens from the LiquidityMining
    /// @dev Power Token amounts have to be higher than zero, otherwise transaction is reverted.
    /// @param lpTokens - list of the lpToken from which Power Tokens are undelegated
    /// @param pwTokenAmounts - list of the undelegated amounts of the Power Tokens
    function undelegateFromLiquidityMining(
        address[] calldata lpTokens,
        uint256[] calldata pwTokenAmounts
    ) external;

    /// @notice Resets the colldown of Power Tokens to the set duration of 2 weeks.
    /// @dev Power Tokens in cooldown cannot be unstaked without fee,
    /// when the cooldown is elapsed then Power Tokens can be unstaked without fee.
    /// Fee for immediate unstaking (without cooldown) is configured in param `_unstakeWithoutCooldownFee`
    /// Power Tokens can be redeemed for Staked Tokens in relation of 1:1.
    /// @param pwTokenAmount Power Token amount to be set in the cooldown
    function cooldown(uint256 pwTokenAmount) external;

    /// @notice Cancel the cooldown.
    /// @dev When this method is executed, all Power Tokens are released.
    function cancelCooldown() external;

    /// @notice The method allowing redemption of Power Tokens for the Staked Token after cooldown has passed.
    /// @dev Power Tokens are redeemable for Staked tokens at 1:1 ratio.
    /// @dev When the sender executes `redeem` method then the structure {PowerTokenTypes.PwTokenCoolDown} is cleared for a given sender in `_coolDowns` storage.
    function redeem() external;

    /// @notice Emitted when the account stakes [Staked] Tokens
    /// @param account account address that executed the staking
    /// @param stakedTokenAmount of Staked Token amount being staked into PowerToken contract
    /// @param internalExchangeRate internal exchange rate used to calculate the base amount
    /// @param baseAmount value calculated based on the stakedTokenAmount and the internalExchangeRate
    event Staked(
        address indexed account,
        uint256 stakedTokenAmount,
        uint256 internalExchangeRate,
        uint256 baseAmount
    );

    /// @notice Emitted when the account unstakes the Power Tokens
    /// @param account address that executed the unstaking
    /// @param pwTokenAmount amount of Power Tokens that were unstaked
    /// @param internalExchangeRate which was used to calculate the base amount
    /// @param fee amount subtracted from the pwTokenAmount
    event Unstaked(
        address indexed account,
        uint256 pwTokenAmount,
        uint256 internalExchangeRate,
        uint256 fee
    );

    /// @notice Emitted when the sender delegates the Power Tokens to the LiquidityMining contract
    /// @param account address delegating the Power Tokens
    /// @param lpTokens list of the tokens representing staking pools
    /// @param pwTokenAmounts amounts of Power Tokens delegated to respective lpTokens
    event ToLiquidityMiningDelegated(
        address indexed account,
        address[] lpTokens,
        uint256[] pwTokenAmounts
    );

    /// @notice Emitted when the sender undelegates Power Tokens from the LiquidityMining
    /// @param account address undelegating Power Tokens
    /// @param lpTokens list of the tokens representing staking pools
    /// @param pwTokenAmounts amounts of Power Tokens undelegated form respective lpTokens
    event FromLiquidityMiningUndelegated(
        address indexed account,
        address[] lpTokens,
        uint256[] pwTokenAmounts
    );

    /// @notice Emitted when the sender sets the cooldown on Power Tokens
    /// @param changedBy account address that has changed the cooldown rules
    /// @param pwTokenAmount amount of pwToken in cooldown
    /// @param endTimestamp end time of the cooldown
    event CooldownChanged(address indexed changedBy, uint256 pwTokenAmount, uint256 endTimestamp);

    /// @notice Emitted when the sender redeems the pwTokens after the cooldown
    /// @param account address that executed the redeem function
    /// @param pwTokenAmount amount of the pwTokens that was transferred to the Power Token owner's address
    event Redeem(address indexed account, uint256 pwTokenAmount);
}

// File: contracts/libraries/math/Math.sol


pragma solidity 0.8.17;

library Math {
    //@notice Division with the rounding up on last position, x, and y is with MD
    function division(uint256 x, uint256 y) internal pure returns (uint256 z) {
        z = (x + (y / 2)) / y;
    }
}

// File: contracts/libraries/Constants.sol


pragma solidity 0.8.17;

library Constants {
    uint256 public constant MAX_VALUE = type(uint256).max;
    uint256 public constant D10 = 1e10;
    uint256 public constant D17 = 1e17;
    uint256 public constant D18 = 1e18;
    uint256 public constant D19 = 1e19;
    uint256 public constant D45 = 1e45;
}

// File: @openzeppelin/contracts/utils/math/SafeCast.sol


// OpenZeppelin Contracts (last updated v4.7.0) (utils/math/SafeCast.sol)

pragma solidity ^0.8.0;

/**
 * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such an operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 *
 * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
 * all math on `uint256` and `int256` and then downcasting.
 */
library SafeCast {
    /**
     * @dev Returns the downcasted uint248 from uint256, reverting on
     * overflow (when the input is greater than largest uint248).
     *
     * Counterpart to Solidity's `uint248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toUint248(uint256 value) internal pure returns (uint248) {
        require(value <= type(uint248).max, "SafeCast: value doesn't fit in 248 bits");
        return uint248(value);
    }

    /**
     * @dev Returns the downcasted uint240 from uint256, reverting on
     * overflow (when the input is greater than largest uint240).
     *
     * Counterpart to Solidity's `uint240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toUint240(uint256 value) internal pure returns (uint240) {
        require(value <= type(uint240).max, "SafeCast: value doesn't fit in 240 bits");
        return uint240(value);
    }

    /**
     * @dev Returns the downcasted uint232 from uint256, reverting on
     * overflow (when the input is greater than largest uint232).
     *
     * Counterpart to Solidity's `uint232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toUint232(uint256 value) internal pure returns (uint232) {
        require(value <= type(uint232).max, "SafeCast: value doesn't fit in 232 bits");
        return uint232(value);
    }

    /**
     * @dev Returns the downcasted uint224 from uint256, reverting on
     * overflow (when the input is greater than largest uint224).
     *
     * Counterpart to Solidity's `uint224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.2._
     */
    function toUint224(uint256 value) internal pure returns (uint224) {
        require(value <= type(uint224).max, "SafeCast: value doesn't fit in 224 bits");
        return uint224(value);
    }

    /**
     * @dev Returns the downcasted uint216 from uint256, reverting on
     * overflow (when the input is greater than largest uint216).
     *
     * Counterpart to Solidity's `uint216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toUint216(uint256 value) internal pure returns (uint216) {
        require(value <= type(uint216).max, "SafeCast: value doesn't fit in 216 bits");
        return uint216(value);
    }

    /**
     * @dev Returns the downcasted uint208 from uint256, reverting on
     * overflow (when the input is greater than largest uint208).
     *
     * Counterpart to Solidity's `uint208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toUint208(uint256 value) internal pure returns (uint208) {
        require(value <= type(uint208).max, "SafeCast: value doesn't fit in 208 bits");
        return uint208(value);
    }

    /**
     * @dev Returns the downcasted uint200 from uint256, reverting on
     * overflow (when the input is greater than largest uint200).
     *
     * Counterpart to Solidity's `uint200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toUint200(uint256 value) internal pure returns (uint200) {
        require(value <= type(uint200).max, "SafeCast: value doesn't fit in 200 bits");
        return uint200(value);
    }

    /**
     * @dev Returns the downcasted uint192 from uint256, reverting on
     * overflow (when the input is greater than largest uint192).
     *
     * Counterpart to Solidity's `uint192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toUint192(uint256 value) internal pure returns (uint192) {
        require(value <= type(uint192).max, "SafeCast: value doesn't fit in 192 bits");
        return uint192(value);
    }

    /**
     * @dev Returns the downcasted uint184 from uint256, reverting on
     * overflow (when the input is greater than largest uint184).
     *
     * Counterpart to Solidity's `uint184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toUint184(uint256 value) internal pure returns (uint184) {
        require(value <= type(uint184).max, "SafeCast: value doesn't fit in 184 bits");
        return uint184(value);
    }

    /**
     * @dev Returns the downcasted uint176 from uint256, reverting on
     * overflow (when the input is greater than largest uint176).
     *
     * Counterpart to Solidity's `uint176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toUint176(uint256 value) internal pure returns (uint176) {
        require(value <= type(uint176).max, "SafeCast: value doesn't fit in 176 bits");
        return uint176(value);
    }

    /**
     * @dev Returns the downcasted uint168 from uint256, reverting on
     * overflow (when the input is greater than largest uint168).
     *
     * Counterpart to Solidity's `uint168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toUint168(uint256 value) internal pure returns (uint168) {
        require(value <= type(uint168).max, "SafeCast: value doesn't fit in 168 bits");
        return uint168(value);
    }

    /**
     * @dev Returns the downcasted uint160 from uint256, reverting on
     * overflow (when the input is greater than largest uint160).
     *
     * Counterpart to Solidity's `uint160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toUint160(uint256 value) internal pure returns (uint160) {
        require(value <= type(uint160).max, "SafeCast: value doesn't fit in 160 bits");
        return uint160(value);
    }

    /**
     * @dev Returns the downcasted uint152 from uint256, reverting on
     * overflow (when the input is greater than largest uint152).
     *
     * Counterpart to Solidity's `uint152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toUint152(uint256 value) internal pure returns (uint152) {
        require(value <= type(uint152).max, "SafeCast: value doesn't fit in 152 bits");
        return uint152(value);
    }

    /**
     * @dev Returns the downcasted uint144 from uint256, reverting on
     * overflow (when the input is greater than largest uint144).
     *
     * Counterpart to Solidity's `uint144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toUint144(uint256 value) internal pure returns (uint144) {
        require(value <= type(uint144).max, "SafeCast: value doesn't fit in 144 bits");
        return uint144(value);
    }

    /**
     * @dev Returns the downcasted uint136 from uint256, reverting on
     * overflow (when the input is greater than largest uint136).
     *
     * Counterpart to Solidity's `uint136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toUint136(uint256 value) internal pure returns (uint136) {
        require(value <= type(uint136).max, "SafeCast: value doesn't fit in 136 bits");
        return uint136(value);
    }

    /**
     * @dev Returns the downcasted uint128 from uint256, reverting on
     * overflow (when the input is greater than largest uint128).
     *
     * Counterpart to Solidity's `uint128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v2.5._
     */
    function toUint128(uint256 value) internal pure returns (uint128) {
        require(value <= type(uint128).max, "SafeCast: value doesn't fit in 128 bits");
        return uint128(value);
    }

    /**
     * @dev Returns the downcasted uint120 from uint256, reverting on
     * overflow (when the input is greater than largest uint120).
     *
     * Counterpart to Solidity's `uint120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toUint120(uint256 value) internal pure returns (uint120) {
        require(value <= type(uint120).max, "SafeCast: value doesn't fit in 120 bits");
        return uint120(value);
    }

    /**
     * @dev Returns the downcasted uint112 from uint256, reverting on
     * overflow (when the input is greater than largest uint112).
     *
     * Counterpart to Solidity's `uint112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toUint112(uint256 value) internal pure returns (uint112) {
        require(value <= type(uint112).max, "SafeCast: value doesn't fit in 112 bits");
        return uint112(value);
    }

    /**
     * @dev Returns the downcasted uint104 from uint256, reverting on
     * overflow (when the input is greater than largest uint104).
     *
     * Counterpart to Solidity's `uint104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toUint104(uint256 value) internal pure returns (uint104) {
        require(value <= type(uint104).max, "SafeCast: value doesn't fit in 104 bits");
        return uint104(value);
    }

    /**
     * @dev Returns the downcasted uint96 from uint256, reverting on
     * overflow (when the input is greater than largest uint96).
     *
     * Counterpart to Solidity's `uint96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.2._
     */
    function toUint96(uint256 value) internal pure returns (uint96) {
        require(value <= type(uint96).max, "SafeCast: value doesn't fit in 96 bits");
        return uint96(value);
    }

    /**
     * @dev Returns the downcasted uint88 from uint256, reverting on
     * overflow (when the input is greater than largest uint88).
     *
     * Counterpart to Solidity's `uint88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toUint88(uint256 value) internal pure returns (uint88) {
        require(value <= type(uint88).max, "SafeCast: value doesn't fit in 88 bits");
        return uint88(value);
    }

    /**
     * @dev Returns the downcasted uint80 from uint256, reverting on
     * overflow (when the input is greater than largest uint80).
     *
     * Counterpart to Solidity's `uint80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toUint80(uint256 value) internal pure returns (uint80) {
        require(value <= type(uint80).max, "SafeCast: value doesn't fit in 80 bits");
        return uint80(value);
    }

    /**
     * @dev Returns the downcasted uint72 from uint256, reverting on
     * overflow (when the input is greater than largest uint72).
     *
     * Counterpart to Solidity's `uint72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toUint72(uint256 value) internal pure returns (uint72) {
        require(value <= type(uint72).max, "SafeCast: value doesn't fit in 72 bits");
        return uint72(value);
    }

    /**
     * @dev Returns the downcasted uint64 from uint256, reverting on
     * overflow (when the input is greater than largest uint64).
     *
     * Counterpart to Solidity's `uint64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v2.5._
     */
    function toUint64(uint256 value) internal pure returns (uint64) {
        require(value <= type(uint64).max, "SafeCast: value doesn't fit in 64 bits");
        return uint64(value);
    }

    /**
     * @dev Returns the downcasted uint56 from uint256, reverting on
     * overflow (when the input is greater than largest uint56).
     *
     * Counterpart to Solidity's `uint56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toUint56(uint256 value) internal pure returns (uint56) {
        require(value <= type(uint56).max, "SafeCast: value doesn't fit in 56 bits");
        return uint56(value);
    }

    /**
     * @dev Returns the downcasted uint48 from uint256, reverting on
     * overflow (when the input is greater than largest uint48).
     *
     * Counterpart to Solidity's `uint48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toUint48(uint256 value) internal pure returns (uint48) {
        require(value <= type(uint48).max, "SafeCast: value doesn't fit in 48 bits");
        return uint48(value);
    }

    /**
     * @dev Returns the downcasted uint40 from uint256, reverting on
     * overflow (when the input is greater than largest uint40).
     *
     * Counterpart to Solidity's `uint40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toUint40(uint256 value) internal pure returns (uint40) {
        require(value <= type(uint40).max, "SafeCast: value doesn't fit in 40 bits");
        return uint40(value);
    }

    /**
     * @dev Returns the downcasted uint32 from uint256, reverting on
     * overflow (when the input is greater than largest uint32).
     *
     * Counterpart to Solidity's `uint32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v2.5._
     */
    function toUint32(uint256 value) internal pure returns (uint32) {
        require(value <= type(uint32).max, "SafeCast: value doesn't fit in 32 bits");
        return uint32(value);
    }

    /**
     * @dev Returns the downcasted uint24 from uint256, reverting on
     * overflow (when the input is greater than largest uint24).
     *
     * Counterpart to Solidity's `uint24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toUint24(uint256 value) internal pure returns (uint24) {
        require(value <= type(uint24).max, "SafeCast: value doesn't fit in 24 bits");
        return uint24(value);
    }

    /**
     * @dev Returns the downcasted uint16 from uint256, reverting on
     * overflow (when the input is greater than largest uint16).
     *
     * Counterpart to Solidity's `uint16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v2.5._
     */
    function toUint16(uint256 value) internal pure returns (uint16) {
        require(value <= type(uint16).max, "SafeCast: value doesn't fit in 16 bits");
        return uint16(value);
    }

    /**
     * @dev Returns the downcasted uint8 from uint256, reverting on
     * overflow (when the input is greater than largest uint8).
     *
     * Counterpart to Solidity's `uint8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v2.5._
     */
    function toUint8(uint256 value) internal pure returns (uint8) {
        require(value <= type(uint8).max, "SafeCast: value doesn't fit in 8 bits");
        return uint8(value);
    }

    /**
     * @dev Converts a signed int256 into an unsigned uint256.
     *
     * Requirements:
     *
     * - input must be greater than or equal to 0.
     *
     * _Available since v3.0._
     */
    function toUint256(int256 value) internal pure returns (uint256) {
        require(value >= 0, "SafeCast: value must be positive");
        return uint256(value);
    }

    /**
     * @dev Returns the downcasted int248 from int256, reverting on
     * overflow (when the input is less than smallest int248 or
     * greater than largest int248).
     *
     * Counterpart to Solidity's `int248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toInt248(int256 value) internal pure returns (int248) {
        require(value >= type(int248).min && value <= type(int248).max, "SafeCast: value doesn't fit in 248 bits");
        return int248(value);
    }

    /**
     * @dev Returns the downcasted int240 from int256, reverting on
     * overflow (when the input is less than smallest int240 or
     * greater than largest int240).
     *
     * Counterpart to Solidity's `int240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toInt240(int256 value) internal pure returns (int240) {
        require(value >= type(int240).min && value <= type(int240).max, "SafeCast: value doesn't fit in 240 bits");
        return int240(value);
    }

    /**
     * @dev Returns the downcasted int232 from int256, reverting on
     * overflow (when the input is less than smallest int232 or
     * greater than largest int232).
     *
     * Counterpart to Solidity's `int232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toInt232(int256 value) internal pure returns (int232) {
        require(value >= type(int232).min && value <= type(int232).max, "SafeCast: value doesn't fit in 232 bits");
        return int232(value);
    }

    /**
     * @dev Returns the downcasted int224 from int256, reverting on
     * overflow (when the input is less than smallest int224 or
     * greater than largest int224).
     *
     * Counterpart to Solidity's `int224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.7._
     */
    function toInt224(int256 value) internal pure returns (int224) {
        require(value >= type(int224).min && value <= type(int224).max, "SafeCast: value doesn't fit in 224 bits");
        return int224(value);
    }

    /**
     * @dev Returns the downcasted int216 from int256, reverting on
     * overflow (when the input is less than smallest int216 or
     * greater than largest int216).
     *
     * Counterpart to Solidity's `int216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toInt216(int256 value) internal pure returns (int216) {
        require(value >= type(int216).min && value <= type(int216).max, "SafeCast: value doesn't fit in 216 bits");
        return int216(value);
    }

    /**
     * @dev Returns the downcasted int208 from int256, reverting on
     * overflow (when the input is less than smallest int208 or
     * greater than largest int208).
     *
     * Counterpart to Solidity's `int208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toInt208(int256 value) internal pure returns (int208) {
        require(value >= type(int208).min && value <= type(int208).max, "SafeCast: value doesn't fit in 208 bits");
        return int208(value);
    }

    /**
     * @dev Returns the downcasted int200 from int256, reverting on
     * overflow (when the input is less than smallest int200 or
     * greater than largest int200).
     *
     * Counterpart to Solidity's `int200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toInt200(int256 value) internal pure returns (int200) {
        require(value >= type(int200).min && value <= type(int200).max, "SafeCast: value doesn't fit in 200 bits");
        return int200(value);
    }

    /**
     * @dev Returns the downcasted int192 from int256, reverting on
     * overflow (when the input is less than smallest int192 or
     * greater than largest int192).
     *
     * Counterpart to Solidity's `int192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toInt192(int256 value) internal pure returns (int192) {
        require(value >= type(int192).min && value <= type(int192).max, "SafeCast: value doesn't fit in 192 bits");
        return int192(value);
    }

    /**
     * @dev Returns the downcasted int184 from int256, reverting on
     * overflow (when the input is less than smallest int184 or
     * greater than largest int184).
     *
     * Counterpart to Solidity's `int184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toInt184(int256 value) internal pure returns (int184) {
        require(value >= type(int184).min && value <= type(int184).max, "SafeCast: value doesn't fit in 184 bits");
        return int184(value);
    }

    /**
     * @dev Returns the downcasted int176 from int256, reverting on
     * overflow (when the input is less than smallest int176 or
     * greater than largest int176).
     *
     * Counterpart to Solidity's `int176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toInt176(int256 value) internal pure returns (int176) {
        require(value >= type(int176).min && value <= type(int176).max, "SafeCast: value doesn't fit in 176 bits");
        return int176(value);
    }

    /**
     * @dev Returns the downcasted int168 from int256, reverting on
     * overflow (when the input is less than smallest int168 or
     * greater than largest int168).
     *
     * Counterpart to Solidity's `int168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toInt168(int256 value) internal pure returns (int168) {
        require(value >= type(int168).min && value <= type(int168).max, "SafeCast: value doesn't fit in 168 bits");
        return int168(value);
    }

    /**
     * @dev Returns the downcasted int160 from int256, reverting on
     * overflow (when the input is less than smallest int160 or
     * greater than largest int160).
     *
     * Counterpart to Solidity's `int160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toInt160(int256 value) internal pure returns (int160) {
        require(value >= type(int160).min && value <= type(int160).max, "SafeCast: value doesn't fit in 160 bits");
        return int160(value);
    }

    /**
     * @dev Returns the downcasted int152 from int256, reverting on
     * overflow (when the input is less than smallest int152 or
     * greater than largest int152).
     *
     * Counterpart to Solidity's `int152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toInt152(int256 value) internal pure returns (int152) {
        require(value >= type(int152).min && value <= type(int152).max, "SafeCast: value doesn't fit in 152 bits");
        return int152(value);
    }

    /**
     * @dev Returns the downcasted int144 from int256, reverting on
     * overflow (when the input is less than smallest int144 or
     * greater than largest int144).
     *
     * Counterpart to Solidity's `int144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toInt144(int256 value) internal pure returns (int144) {
        require(value >= type(int144).min && value <= type(int144).max, "SafeCast: value doesn't fit in 144 bits");
        return int144(value);
    }

    /**
     * @dev Returns the downcasted int136 from int256, reverting on
     * overflow (when the input is less than smallest int136 or
     * greater than largest int136).
     *
     * Counterpart to Solidity's `int136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toInt136(int256 value) internal pure returns (int136) {
        require(value >= type(int136).min && value <= type(int136).max, "SafeCast: value doesn't fit in 136 bits");
        return int136(value);
    }

    /**
     * @dev Returns the downcasted int128 from int256, reverting on
     * overflow (when the input is less than smallest int128 or
     * greater than largest int128).
     *
     * Counterpart to Solidity's `int128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v3.1._
     */
    function toInt128(int256 value) internal pure returns (int128) {
        require(value >= type(int128).min && value <= type(int128).max, "SafeCast: value doesn't fit in 128 bits");
        return int128(value);
    }

    /**
     * @dev Returns the downcasted int120 from int256, reverting on
     * overflow (when the input is less than smallest int120 or
     * greater than largest int120).
     *
     * Counterpart to Solidity's `int120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toInt120(int256 value) internal pure returns (int120) {
        require(value >= type(int120).min && value <= type(int120).max, "SafeCast: value doesn't fit in 120 bits");
        return int120(value);
    }

    /**
     * @dev Returns the downcasted int112 from int256, reverting on
     * overflow (when the input is less than smallest int112 or
     * greater than largest int112).
     *
     * Counterpart to Solidity's `int112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toInt112(int256 value) internal pure returns (int112) {
        require(value >= type(int112).min && value <= type(int112).max, "SafeCast: value doesn't fit in 112 bits");
        return int112(value);
    }

    /**
     * @dev Returns the downcasted int104 from int256, reverting on
     * overflow (when the input is less than smallest int104 or
     * greater than largest int104).
     *
     * Counterpart to Solidity's `int104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toInt104(int256 value) internal pure returns (int104) {
        require(value >= type(int104).min && value <= type(int104).max, "SafeCast: value doesn't fit in 104 bits");
        return int104(value);
    }

    /**
     * @dev Returns the downcasted int96 from int256, reverting on
     * overflow (when the input is less than smallest int96 or
     * greater than largest int96).
     *
     * Counterpart to Solidity's `int96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.7._
     */
    function toInt96(int256 value) internal pure returns (int96) {
        require(value >= type(int96).min && value <= type(int96).max, "SafeCast: value doesn't fit in 96 bits");
        return int96(value);
    }

    /**
     * @dev Returns the downcasted int88 from int256, reverting on
     * overflow (when the input is less than smallest int88 or
     * greater than largest int88).
     *
     * Counterpart to Solidity's `int88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toInt88(int256 value) internal pure returns (int88) {
        require(value >= type(int88).min && value <= type(int88).max, "SafeCast: value doesn't fit in 88 bits");
        return int88(value);
    }

    /**
     * @dev Returns the downcasted int80 from int256, reverting on
     * overflow (when the input is less than smallest int80 or
     * greater than largest int80).
     *
     * Counterpart to Solidity's `int80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toInt80(int256 value) internal pure returns (int80) {
        require(value >= type(int80).min && value <= type(int80).max, "SafeCast: value doesn't fit in 80 bits");
        return int80(value);
    }

    /**
     * @dev Returns the downcasted int72 from int256, reverting on
     * overflow (when the input is less than smallest int72 or
     * greater than largest int72).
     *
     * Counterpart to Solidity's `int72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toInt72(int256 value) internal pure returns (int72) {
        require(value >= type(int72).min && value <= type(int72).max, "SafeCast: value doesn't fit in 72 bits");
        return int72(value);
    }

    /**
     * @dev Returns the downcasted int64 from int256, reverting on
     * overflow (when the input is less than smallest int64 or
     * greater than largest int64).
     *
     * Counterpart to Solidity's `int64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v3.1._
     */
    function toInt64(int256 value) internal pure returns (int64) {
        require(value >= type(int64).min && value <= type(int64).max, "SafeCast: value doesn't fit in 64 bits");
        return int64(value);
    }

    /**
     * @dev Returns the downcasted int56 from int256, reverting on
     * overflow (when the input is less than smallest int56 or
     * greater than largest int56).
     *
     * Counterpart to Solidity's `int56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toInt56(int256 value) internal pure returns (int56) {
        require(value >= type(int56).min && value <= type(int56).max, "SafeCast: value doesn't fit in 56 bits");
        return int56(value);
    }

    /**
     * @dev Returns the downcasted int48 from int256, reverting on
     * overflow (when the input is less than smallest int48 or
     * greater than largest int48).
     *
     * Counterpart to Solidity's `int48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toInt48(int256 value) internal pure returns (int48) {
        require(value >= type(int48).min && value <= type(int48).max, "SafeCast: value doesn't fit in 48 bits");
        return int48(value);
    }

    /**
     * @dev Returns the downcasted int40 from int256, reverting on
     * overflow (when the input is less than smallest int40 or
     * greater than largest int40).
     *
     * Counterpart to Solidity's `int40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toInt40(int256 value) internal pure returns (int40) {
        require(value >= type(int40).min && value <= type(int40).max, "SafeCast: value doesn't fit in 40 bits");
        return int40(value);
    }

    /**
     * @dev Returns the downcasted int32 from int256, reverting on
     * overflow (when the input is less than smallest int32 or
     * greater than largest int32).
     *
     * Counterpart to Solidity's `int32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v3.1._
     */
    function toInt32(int256 value) internal pure returns (int32) {
        require(value >= type(int32).min && value <= type(int32).max, "SafeCast: value doesn't fit in 32 bits");
        return int32(value);
    }

    /**
     * @dev Returns the downcasted int24 from int256, reverting on
     * overflow (when the input is less than smallest int24 or
     * greater than largest int24).
     *
     * Counterpart to Solidity's `int24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toInt24(int256 value) internal pure returns (int24) {
        require(value >= type(int24).min && value <= type(int24).max, "SafeCast: value doesn't fit in 24 bits");
        return int24(value);
    }

    /**
     * @dev Returns the downcasted int16 from int256, reverting on
     * overflow (when the input is less than smallest int16 or
     * greater than largest int16).
     *
     * Counterpart to Solidity's `int16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v3.1._
     */
    function toInt16(int256 value) internal pure returns (int16) {
        require(value >= type(int16).min && value <= type(int16).max, "SafeCast: value doesn't fit in 16 bits");
        return int16(value);
    }

    /**
     * @dev Returns the downcasted int8 from int256, reverting on
     * overflow (when the input is less than smallest int8 or
     * greater than largest int8).
     *
     * Counterpart to Solidity's `int8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v3.1._
     */
    function toInt8(int256 value) internal pure returns (int8) {
        require(value >= type(int8).min && value <= type(int8).max, "SafeCast: value doesn't fit in 8 bits");
        return int8(value);
    }

    /**
     * @dev Converts an unsigned uint256 into a signed int256.
     *
     * Requirements:
     *
     * - input must be less than or equal to maxInt256.
     *
     * _Available since v3.0._
     */
    function toInt256(uint256 value) internal pure returns (int256) {
        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
        require(value <= uint256(type(int256).max), "SafeCast: value doesn't fit in an int256");
        return int256(value);
    }
}

// File: abdk-libraries-solidity/ABDKMathQuad.sol


/*
 * ABDK Math Quad Smart Contract Library.  Copyright © 2019 by ABDK Consulting.
 * Author: Mikhail Vladimirov <[email protected]>
 */
pragma solidity ^0.8.0;

/**
 * Smart contract library of mathematical functions operating with IEEE 754
 * quadruple-precision binary floating-point numbers (quadruple precision
 * numbers).  As long as quadruple precision numbers are 16-bytes long, they are
 * represented by bytes16 type.
 */
library ABDKMathQuad {
  /*
   * 0.
   */
  bytes16 private constant POSITIVE_ZERO = 0x00000000000000000000000000000000;

  /*
   * -0.
   */
  bytes16 private constant NEGATIVE_ZERO = 0x80000000000000000000000000000000;

  /*
   * +Infinity.
   */
  bytes16 private constant POSITIVE_INFINITY = 0x7FFF0000000000000000000000000000;

  /*
   * -Infinity.
   */
  bytes16 private constant NEGATIVE_INFINITY = 0xFFFF0000000000000000000000000000;

  /*
   * Canonical NaN value.
   */
  bytes16 private constant NaN = 0x7FFF8000000000000000000000000000;

  /**
   * Convert signed 256-bit integer number into quadruple precision number.
   *
   * @param x signed 256-bit integer number
   * @return quadruple precision number
   */
  function fromInt (int256 x) internal pure returns (bytes16) {
    unchecked {
      if (x == 0) return bytes16 (0);
      else {
        // We rely on overflow behavior here
        uint256 result = uint256 (x > 0 ? x : -x);

        uint256 msb = mostSignificantBit (result);
        if (msb < 112) result <<= 112 - msb;
        else if (msb > 112) result >>= msb - 112;

        result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16383 + msb << 112;
        if (x < 0) result |= 0x80000000000000000000000000000000;

        return bytes16 (uint128 (result));
      }
    }
  }

  /**
   * Convert quadruple precision number into signed 256-bit integer number
   * rounding towards zero.  Revert on overflow.
   *
   * @param x quadruple precision number
   * @return signed 256-bit integer number
   */
  function toInt (bytes16 x) internal pure returns (int256) {
    unchecked {
      uint256 exponent = uint128 (x) >> 112 & 0x7FFF;

      require (exponent <= 16638); // Overflow
      if (exponent < 16383) return 0; // Underflow

      uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
        0x10000000000000000000000000000;

      if (exponent < 16495) result >>= 16495 - exponent;
      else if (exponent > 16495) result <<= exponent - 16495;

      if (uint128 (x) >= 0x80000000000000000000000000000000) { // Negative
        require (result <= 0x8000000000000000000000000000000000000000000000000000000000000000);
        return -int256 (result); // We rely on overflow behavior here
      } else {
        require (result <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
        return int256 (result);
      }
    }
  }

  /**
   * Convert unsigned 256-bit integer number into quadruple precision number.
   *
   * @param x unsigned 256-bit integer number
   * @return quadruple precision number
   */
  function fromUInt (uint256 x) internal pure returns (bytes16) {
    unchecked {
      if (x == 0) return bytes16 (0);
      else {
        uint256 result = x;

        uint256 msb = mostSignificantBit (result);
        if (msb < 112) result <<= 112 - msb;
        else if (msb > 112) result >>= msb - 112;

        result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16383 + msb << 112;

        return bytes16 (uint128 (result));
      }
    }
  }

  /**
   * Convert quadruple precision number into unsigned 256-bit integer number
   * rounding towards zero.  Revert on underflow.  Note, that negative floating
   * point numbers in range (-1.0 .. 0.0) may be converted to unsigned integer
   * without error, because they are rounded to zero.
   *
   * @param x quadruple precision number
   * @return unsigned 256-bit integer number
   */
  function toUInt (bytes16 x) internal pure returns (uint256) {
    unchecked {
      uint256 exponent = uint128 (x) >> 112 & 0x7FFF;

      if (exponent < 16383) return 0; // Underflow

      require (uint128 (x) < 0x80000000000000000000000000000000); // Negative

      require (exponent <= 16638); // Overflow
      uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
        0x10000000000000000000000000000;

      if (exponent < 16495) result >>= 16495 - exponent;
      else if (exponent > 16495) result <<= exponent - 16495;

      return result;
    }
  }

  /**
   * Convert signed 128.128 bit fixed point number into quadruple precision
   * number.
   *
   * @param x signed 128.128 bit fixed point number
   * @return quadruple precision number
   */
  function from128x128 (int256 x) internal pure returns (bytes16) {
    unchecked {
      if (x == 0) return bytes16 (0);
      else {
        // We rely on overflow behavior here
        uint256 result = uint256 (x > 0 ? x : -x);

        uint256 msb = mostSignificantBit (result);
        if (msb < 112) result <<= 112 - msb;
        else if (msb > 112) result >>= msb - 112;

        result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16255 + msb << 112;
        if (x < 0) result |= 0x80000000000000000000000000000000;

        return bytes16 (uint128 (result));
      }
    }
  }

  /**
   * Convert quadruple precision number into signed 128.128 bit fixed point
   * number.  Revert on overflow.
   *
   * @param x quadruple precision number
   * @return signed 128.128 bit fixed point number
   */
  function to128x128 (bytes16 x) internal pure returns (int256) {
    unchecked {
      uint256 exponent = uint128 (x) >> 112 & 0x7FFF;

      require (exponent <= 16510); // Overflow
      if (exponent < 16255) return 0; // Underflow

      uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
        0x10000000000000000000000000000;

      if (exponent < 16367) result >>= 16367 - exponent;
      else if (exponent > 16367) result <<= exponent - 16367;

      if (uint128 (x) >= 0x80000000000000000000000000000000) { // Negative
        require (result <= 0x8000000000000000000000000000000000000000000000000000000000000000);
        return -int256 (result); // We rely on overflow behavior here
      } else {
        require (result <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
        return int256 (result);
      }
    }
  }

  /**
   * Convert signed 64.64 bit fixed point number into quadruple precision
   * number.
   *
   * @param x signed 64.64 bit fixed point number
   * @return quadruple precision number
   */
  function from64x64 (int128 x) internal pure returns (bytes16) {
    unchecked {
      if (x == 0) return bytes16 (0);
      else {
        // We rely on overflow behavior here
        uint256 result = uint128 (x > 0 ? x : -x);

        uint256 msb = mostSignificantBit (result);
        if (msb < 112) result <<= 112 - msb;
        else if (msb > 112) result >>= msb - 112;

        result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16319 + msb << 112;
        if (x < 0) result |= 0x80000000000000000000000000000000;

        return bytes16 (uint128 (result));
      }
    }
  }

  /**
   * Convert quadruple precision number into signed 64.64 bit fixed point
   * number.  Revert on overflow.
   *
   * @param x quadruple precision number
   * @return signed 64.64 bit fixed point number
   */
  function to64x64 (bytes16 x) internal pure returns (int128) {
    unchecked {
      uint256 exponent = uint128 (x) >> 112 & 0x7FFF;

      require (exponent <= 16446); // Overflow
      if (exponent < 16319) return 0; // Underflow

      uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
        0x10000000000000000000000000000;

      if (exponent < 16431) result >>= 16431 - exponent;
      else if (exponent > 16431) result <<= exponent - 16431;

      if (uint128 (x) >= 0x80000000000000000000000000000000) { // Negative
        require (result <= 0x80000000000000000000000000000000);
        return -int128 (int256 (result)); // We rely on overflow behavior here
      } else {
        require (result <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
        return int128 (int256 (result));
      }
    }
  }

  /**
   * Convert octuple precision number into quadruple precision number.
   *
   * @param x octuple precision number
   * @return quadruple precision number
   */
  function fromOctuple (bytes32 x) internal pure returns (bytes16) {
    unchecked {
      bool negative = x & 0x8000000000000000000000000000000000000000000000000000000000000000 > 0;

      uint256 exponent = uint256 (x) >> 236 & 0x7FFFF;
      uint256 significand = uint256 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

      if (exponent == 0x7FFFF) {
        if (significand > 0) return NaN;
        else return negative ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
      }

      if (exponent > 278526)
        return negative ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
      else if (exponent < 245649)
        return negative ? NEGATIVE_ZERO : POSITIVE_ZERO;
      else if (exponent < 245761) {
        significand = (significand | 0x100000000000000000000000000000000000000000000000000000000000) >> 245885 - exponent;
        exponent = 0;
      } else {
        significand >>= 124;
        exponent -= 245760;
      }

      uint128 result = uint128 (significand | exponent << 112);
      if (negative) result |= 0x80000000000000000000000000000000;

      return bytes16 (result);
    }
  }

  /**
   * Convert quadruple precision number into octuple precision number.
   *
   * @param x quadruple precision number
   * @return octuple precision number
   */
  function toOctuple (bytes16 x) internal pure returns (bytes32) {
    unchecked {
      uint256 exponent = uint128 (x) >> 112 & 0x7FFF;

      uint256 result = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

      if (exponent == 0x7FFF) exponent = 0x7FFFF; // Infinity or NaN
      else if (exponent == 0) {
        if (result > 0) {
          uint256 msb = mostSignificantBit (result);
          result = result << 236 - msb & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
          exponent = 245649 + msb;
        }
      } else {
        result <<= 124;
        exponent += 245760;
      }

      result |= exponent << 236;
      if (uint128 (x) >= 0x80000000000000000000000000000000)
        result |= 0x8000000000000000000000000000000000000000000000000000000000000000;

      return bytes32 (result);
    }
  }

  /**
   * Convert double precision number into quadruple precision number.
   *
   * @param x double precision number
   * @return quadruple precision number
   */
  function fromDouble (bytes8 x) internal pure returns (bytes16) {
    unchecked {
      uint256 exponent = uint64 (x) >> 52 & 0x7FF;

      uint256 result = uint64 (x) & 0xFFFFFFFFFFFFF;

      if (exponent == 0x7FF) exponent = 0x7FFF; // Infinity or NaN
      else if (exponent == 0) {
        if (result > 0) {
          uint256 msb = mostSignificantBit (result);
          result = result << 112 - msb & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
          exponent = 15309 + msb;
        }
      } else {
        result <<= 60;
        exponent += 15360;
      }

      result |= exponent << 112;
      if (x & 0x8000000000000000 > 0)
        result |= 0x80000000000000000000000000000000;

      return bytes16 (uint128 (result));
    }
  }

  /**
   * Convert quadruple precision number into double precision number.
   *
   * @param x quadruple precision number
   * @return double precision number
   */
  function toDouble (bytes16 x) internal pure returns (bytes8) {
    unchecked {
      bool negative = uint128 (x) >= 0x80000000000000000000000000000000;

      uint256 exponent = uint128 (x) >> 112 & 0x7FFF;
      uint256 significand = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

      if (exponent == 0x7FFF) {
        if (significand > 0) return 0x7FF8000000000000; // NaN
        else return negative ?
            bytes8 (0xFFF0000000000000) : // -Infinity
            bytes8 (0x7FF0000000000000); // Infinity
      }

      if (exponent > 17406)
        return negative ?
            bytes8 (0xFFF0000000000000) : // -Infinity
            bytes8 (0x7FF0000000000000); // Infinity
      else if (exponent < 15309)
        return negative ?
            bytes8 (0x8000000000000000) : // -0
            bytes8 (0x0000000000000000); // 0
      else if (exponent < 15361) {
        significand = (significand | 0x10000000000000000000000000000) >> 15421 - exponent;
        exponent = 0;
      } else {
        significand >>= 60;
        exponent -= 15360;
      }

      uint64 result = uint64 (significand | exponent << 52);
      if (negative) result |= 0x8000000000000000;

      return bytes8 (result);
    }
  }

  /**
   * Test whether given quadruple precision number is NaN.
   *
   * @param x quadruple precision number
   * @return true if x is NaN, false otherwise
   */
  function isNaN (bytes16 x) internal pure returns (bool) {
    unchecked {
      return uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF >
        0x7FFF0000000000000000000000000000;
    }
  }

  /**
   * Test whether given quadruple precision number is positive or negative
   * infinity.
   *
   * @param x quadruple precision number
   * @return true if x is positive or negative infinity, false otherwise
   */
  function isInfinity (bytes16 x) internal pure returns (bool) {
    unchecked {
      return uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF ==
        0x7FFF0000000000000000000000000000;
    }
  }

  /**
   * Calculate sign of x, i.e. -1 if x is negative, 0 if x if zero, and 1 if x
   * is positive.  Note that sign (-0) is zero.  Revert if x is NaN. 
   *
   * @param x quadruple precision number
   * @return sign of x
   */
  function sign (bytes16 x) internal pure returns (int8) {
    unchecked {
      uint128 absoluteX = uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

      require (absoluteX <= 0x7FFF0000000000000000000000000000); // Not NaN

      if (absoluteX == 0) return 0;
      else if (uint128 (x) >= 0x80000000000000000000000000000000) return -1;
      else return 1;
    }
  }

  /**
   * Calculate sign (x - y).  Revert if either argument is NaN, or both
   * arguments are infinities of the same sign. 
   *
   * @param x quadruple precision number
   * @param y quadruple precision number
   * @return sign (x - y)
   */
  function cmp (bytes16 x, bytes16 y) internal pure returns (int8) {
    unchecked {
      uint128 absoluteX = uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

      require (absoluteX <= 0x7FFF0000000000000000000000000000); // Not NaN

      uint128 absoluteY = uint128 (y) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

      require (absoluteY <= 0x7FFF0000000000000000000000000000); // Not NaN

      // Not infinities of the same sign
      require (x != y || absoluteX < 0x7FFF0000000000000000000000000000);

      if (x == y) return 0;
      else {
        bool negativeX = uint128 (x) >= 0x80000000000000000000000000000000;
        bool negativeY = uint128 (y) >= 0x80000000000000000000000000000000;

        if (negativeX) {
          if (negativeY) return absoluteX > absoluteY ? -1 : int8 (1);
          else return -1; 
        } else {
          if (negativeY) return 1;
          else return absoluteX > absoluteY ? int8 (1) : -1;
        }
      }
    }
  }

  /**
   * Test whether x equals y.  NaN, infinity, and -infinity are not equal to
   * anything. 
   *
   * @param x quadruple precision number
   * @param y quadruple precision number
   * @return true if x equals to y, false otherwise
   */
  function eq (bytes16 x, bytes16 y) internal pure returns (bool) {
    unchecked {
      if (x == y) {
        return uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF <
          0x7FFF0000000000000000000000000000;
      } else return false;
    }
  }

  /**
   * Calculate x + y.  Special values behave in the following way:
   *
   * NaN + x = NaN for any x.
   * Infinity + x = Infinity for any finite x.
   * -Infinity + x = -Infinity for any finite x.
   * Infinity + Infinity = Infinity.
   * -Infinity + -Infinity = -Infinity.
   * Infinity + -Infinity = -Infinity + Infinity = NaN.
   *
   * @param x quadruple precision number
   * @param y quadruple precision number
   * @return quadruple precision number
   */
  function add (bytes16 x, bytes16 y) internal pure returns (bytes16) {
    unchecked {
      uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
      uint256 yExponent = uint128 (y) >> 112 & 0x7FFF;

      if (xExponent == 0x7FFF) {
        if (yExponent == 0x7FFF) { 
          if (x == y) return x;
          else return NaN;
        } else return x; 
      } else if (yExponent == 0x7FFF) return y;
      else {
        bool xSign = uint128 (x) >= 0x80000000000000000000000000000000;
        uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
        if (xExponent == 0) xExponent = 1;
        else xSignifier |= 0x10000000000000000000000000000;

        bool ySign = uint128 (y) >= 0x80000000000000000000000000000000;
        uint256 ySignifier = uint128 (y) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
        if (yExponent == 0) yExponent = 1;
        else ySignifier |= 0x10000000000000000000000000000;

        if (xSignifier == 0) return y == NEGATIVE_ZERO ? POSITIVE_ZERO : y;
        else if (ySignifier == 0) return x == NEGATIVE_ZERO ? POSITIVE_ZERO : x;
        else {
          int256 delta = int256 (xExponent) - int256 (yExponent);
  
          if (xSign == ySign) {
            if (delta > 112) return x;
            else if (delta > 0) ySignifier >>= uint256 (delta);
            else if (delta < -112) return y;
            else if (delta < 0) {
              xSignifier >>= uint256 (-delta);
              xExponent = yExponent;
            }
  
            xSignifier += ySignifier;
  
            if (xSignifier >= 0x20000000000000000000000000000) {
              xSignifier >>= 1;
              xExponent += 1;
            }
  
            if (xExponent == 0x7FFF)
              return xSign ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
            else {
              if (xSignifier < 0x10000000000000000000000000000) xExponent = 0;
              else xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
  
              return bytes16 (uint128 (
                  (xSign ? 0x80000000000000000000000000000000 : 0) |
                  (xExponent << 112) |
                  xSignifier)); 
            }
          } else {
            if (delta > 0) {
              xSignifier <<= 1;
              xExponent -= 1;
            } else if (delta < 0) {
              ySignifier <<= 1;
              xExponent = yExponent - 1;
            }

            if (delta > 112) ySignifier = 1;
            else if (delta > 1) ySignifier = (ySignifier - 1 >> uint256 (delta - 1)) + 1;
            else if (delta < -112) xSignifier = 1;
            else if (delta < -1) xSignifier = (xSignifier - 1 >> uint256 (-delta - 1)) + 1;

            if (xSignifier >= ySignifier) xSignifier -= ySignifier;
            else {
              xSignifier = ySignifier - xSignifier;
              xSign = ySign;
            }

            if (xSignifier == 0)
              return POSITIVE_ZERO;

            uint256 msb = mostSignificantBit (xSignifier);

            if (msb == 113) {
              xSignifier = xSignifier >> 1 & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
              xExponent += 1;
            } else if (msb < 112) {
              uint256 shift = 112 - msb;
              if (xExponent > shift) {
                xSignifier = xSignifier << shift & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
                xExponent -= shift;
              } else {
                xSignifier <<= xExponent - 1;
                xExponent = 0;
              }
            } else xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

            if (xExponent == 0x7FFF)
              return xSign ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
            else return bytes16 (uint128 (
                (xSign ? 0x80000000000000000000000000000000 : 0) |
                (xExponent << 112) |
                xSignifier));
          }
        }
      }
    }
  }

  /**
   * Calculate x - y.  Special values behave in the following way:
   *
   * NaN - x = NaN for any x.
   * Infinity - x = Infinity for any finite x.
   * -Infinity - x = -Infinity for any finite x.
   * Infinity - -Infinity = Infinity.
   * -Infinity - Infinity = -Infinity.
   * Infinity - Infinity = -Infinity - -Infinity = NaN.
   *
   * @param x quadruple precision number
   * @param y quadruple precision number
   * @return quadruple precision number
   */
  function sub (bytes16 x, bytes16 y) internal pure returns (bytes16) {
    unchecked {
      return add (x, y ^ 0x80000000000000000000000000000000);
    }
  }

  /**
   * Calculate x * y.  Special values behave in the following way:
   *
   * NaN * x = NaN for any x.
   * Infinity * x = Infinity for any finite positive x.
   * Infinity * x = -Infinity for any finite negative x.
   * -Infinity * x = -Infinity for any finite positive x.
   * -Infinity * x = Infinity for any finite negative x.
   * Infinity * 0 = NaN.
   * -Infinity * 0 = NaN.
   * Infinity * Infinity = Infinity.
   * Infinity * -Infinity = -Infinity.
   * -Infinity * Infinity = -Infinity.
   * -Infinity * -Infinity = Infinity.
   *
   * @param x quadruple precision number
   * @param y quadruple precision number
   * @return quadruple precision number
   */
  function mul (bytes16 x, bytes16 y) internal pure returns (bytes16) {
    unchecked {
      uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
      uint256 yExponent = uint128 (y) >> 112 & 0x7FFF;

      if (xExponent == 0x7FFF) {
        if (yExponent == 0x7FFF) {
          if (x == y) return x ^ y & 0x80000000000000000000000000000000;
          else if (x ^ y == 0x80000000000000000000000000000000) return x | y;
          else return NaN;
        } else {
          if (y & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF == 0) return NaN;
          else return x ^ y & 0x80000000000000000000000000000000;
        }
      } else if (yExponent == 0x7FFF) {
          if (x & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF == 0) return NaN;
          else return y ^ x & 0x80000000000000000000000000000000;
      } else {
        uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
        if (xExponent == 0) xExponent = 1;
        else xSignifier |= 0x10000000000000000000000000000;

        uint256 ySignifier = uint128 (y) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
        if (yExponent == 0) yExponent = 1;
        else ySignifier |= 0x10000000000000000000000000000;

        xSignifier *= ySignifier;
        if (xSignifier == 0)
          return (x ^ y) & 0x80000000000000000000000000000000 > 0 ?
              NEGATIVE_ZERO : POSITIVE_ZERO;

        xExponent += yExponent;

        uint256 msb =
          xSignifier >= 0x200000000000000000000000000000000000000000000000000000000 ? 225 :
          xSignifier >= 0x100000000000000000000000000000000000000000000000000000000 ? 224 :
          mostSignificantBit (xSignifier);

        if (xExponent + msb < 16496) { // Underflow
          xExponent = 0;
          xSignifier = 0;
        } else if (xExponent + msb < 16608) { // Subnormal
          if (xExponent < 16496)
            xSignifier >>= 16496 - xExponent;
          else if (xExponent > 16496)
            xSignifier <<= xExponent - 16496;
          xExponent = 0;
        } else if (xExponent + msb > 49373) {
          xExponent = 0x7FFF;
          xSignifier = 0;
        } else {
          if (msb > 112)
            xSignifier >>= msb - 112;
          else if (msb < 112)
            xSignifier <<= 112 - msb;

          xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

          xExponent = xExponent + msb - 16607;
        }

        return bytes16 (uint128 (uint128 ((x ^ y) & 0x80000000000000000000000000000000) |
            xExponent << 112 | xSignifier));
      }
    }
  }

  /**
   * Calculate x / y.  Special values behave in the following way:
   *
   * NaN / x = NaN for any x.
   * x / NaN = NaN for any x.
   * Infinity / x = Infinity for any finite non-negative x.
   * Infinity / x = -Infinity for any finite negative x including -0.
   * -Infinity / x = -Infinity for any finite non-negative x.
   * -Infinity / x = Infinity for any finite negative x including -0.
   * x / Infinity = 0 for any finite non-negative x.
   * x / -Infinity = -0 for any finite non-negative x.
   * x / Infinity = -0 for any finite non-negative x including -0.
   * x / -Infinity = 0 for any finite non-negative x including -0.
   * 
   * Infinity / Infinity = NaN.
   * Infinity / -Infinity = -NaN.
   * -Infinity / Infinity = -NaN.
   * -Infinity / -Infinity = NaN.
   *
   * Division by zero behaves in the following way:
   *
   * x / 0 = Infinity for any finite positive x.
   * x / -0 = -Infinity for any finite positive x.
   * x / 0 = -Infinity for any finite negative x.
   * x / -0 = Infinity for any finite negative x.
   * 0 / 0 = NaN.
   * 0 / -0 = NaN.
   * -0 / 0 = NaN.
   * -0 / -0 = NaN.
   *
   * @param x quadruple precision number
   * @param y quadruple precision number
   * @return quadruple precision number
   */
  function div (bytes16 x, bytes16 y) internal pure returns (bytes16) {
    unchecked {
      uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
      uint256 yExponent = uint128 (y) >> 112 & 0x7FFF;

      if (xExponent == 0x7FFF) {
        if (yExponent == 0x7FFF) return NaN;
        else return x ^ y & 0x80000000000000000000000000000000;
      } else if (yExponent == 0x7FFF) {
        if (y & 0x0000FFFFFFFFFFFFFFFFFFFFFFFFFFFF != 0) return NaN;
        else return POSITIVE_ZERO | (x ^ y) & 0x80000000000000000000000000000000;
      } else if (y & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF == 0) {
        if (x & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF == 0) return NaN;
        else return POSITIVE_INFINITY | (x ^ y) & 0x80000000000000000000000000000000;
      } else {
        uint256 ySignifier = uint128 (y) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
        if (yExponent == 0) yExponent = 1;
        else ySignifier |= 0x10000000000000000000000000000;

        uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
        if (xExponent == 0) {
          if (xSignifier != 0) {
            uint shift = 226 - mostSignificantBit (xSignifier);

            xSignifier <<= shift;

            xExponent = 1;
            yExponent += shift - 114;
          }
        }
        else {
          xSignifier = (xSignifier | 0x10000000000000000000000000000) << 114;
        }

        xSignifier = xSignifier / ySignifier;
        if (xSignifier == 0)
          return (x ^ y) & 0x80000000000000000000000000000000 > 0 ?
              NEGATIVE_ZERO : POSITIVE_ZERO;

        assert (xSignifier >= 0x1000000000000000000000000000);

        uint256 msb =
          xSignifier >= 0x80000000000000000000000000000 ? mostSignificantBit (xSignifier) :
          xSignifier >= 0x40000000000000000000000000000 ? 114 :
          xSignifier >= 0x20000000000000000000000000000 ? 113 : 112;

        if (xExponent + msb > yExponent + 16497) { // Overflow
          xExponent = 0x7FFF;
          xSignifier = 0;
        } else if (xExponent + msb + 16380  < yExponent) { // Underflow
          xExponent = 0;
          xSignifier = 0;
        } else if (xExponent + msb + 16268  < yExponent) { // Subnormal
          if (xExponent + 16380 > yExponent)
            xSignifier <<= xExponent + 16380 - yExponent;
          else if (xExponent + 16380 < yExponent)
            xSignifier >>= yExponent - xExponent - 16380;

          xExponent = 0;
        } else { // Normal
          if (msb > 112)
            xSignifier >>= msb - 112;

          xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

          xExponent = xExponent + msb + 16269 - yExponent;
        }

        return bytes16 (uint128 (uint128 ((x ^ y) & 0x80000000000000000000000000000000) |
            xExponent << 112 | xSignifier));
      }
    }
  }

  /**
   * Calculate -x.
   *
   * @param x quadruple precision number
   * @return quadruple precision number
   */
  function neg (bytes16 x) internal pure returns (bytes16) {
    unchecked {
      return x ^ 0x80000000000000000000000000000000;
    }
  }

  /**
   * Calculate |x|.
   *
   * @param x quadruple precision number
   * @return quadruple precision number
   */
  function abs (bytes16 x) internal pure returns (bytes16) {
    unchecked {
      return x & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
    }
  }

  /**
   * Calculate square root of x.  Return NaN on negative x excluding -0.
   *
   * @param x quadruple precision number
   * @return quadruple precision number
   */
  function sqrt (bytes16 x) internal pure returns (bytes16) {
    unchecked {
      if (uint128 (x) >  0x80000000000000000000000000000000) return NaN;
      else {
        uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
        if (xExponent == 0x7FFF) return x;
        else {
          uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
          if (xExponent == 0) xExponent = 1;
          else xSignifier |= 0x10000000000000000000000000000;

          if (xSignifier == 0) return POSITIVE_ZERO;

          bool oddExponent = xExponent & 0x1 == 0;
          xExponent = xExponent + 16383 >> 1;

          if (oddExponent) {
            if (xSignifier >= 0x10000000000000000000000000000)
              xSignifier <<= 113;
            else {
              uint256 msb = mostSignificantBit (xSignifier);
              uint256 shift = (226 - msb) & 0xFE;
              xSignifier <<= shift;
              xExponent -= shift - 112 >> 1;
            }
          } else {
            if (xSignifier >= 0x10000000000000000000000000000)
              xSignifier <<= 112;
            else {
              uint256 msb = mostSignificantBit (xSignifier);
              uint256 shift = (225 - msb) & 0xFE;
              xSignifier <<= shift;
              xExponent -= shift - 112 >> 1;
            }
          }

          uint256 r = 0x10000000000000000000000000000;
          r = (r + xSignifier / r) >> 1;
          r = (r + xSignifier / r) >> 1;
          r = (r + xSignifier / r) >> 1;
          r = (r + xSignifier / r) >> 1;
          r = (r + xSignifier / r) >> 1;
          r = (r + xSignifier / r) >> 1;
          r = (r + xSignifier / r) >> 1; // Seven iterations should be enough
          uint256 r1 = xSignifier / r;
          if (r1 < r) r = r1;

          return bytes16 (uint128 (xExponent << 112 | r & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF));
        }
      }
    }
  }

  /**
   * Calculate binary logarithm of x.  Return NaN on negative x excluding -0.
   *
   * @param x quadruple precision number
   * @return quadruple precision number
   */
  function log_2 (bytes16 x) internal pure returns (bytes16) {
    unchecked {
      if (uint128 (x) > 0x80000000000000000000000000000000) return NaN;
      else if (x == 0x3FFF0000000000000000000000000000) return POSITIVE_ZERO; 
      else {
        uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
        if (xExponent == 0x7FFF) return x;
        else {
          uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
          if (xExponent == 0) xExponent = 1;
          else xSignifier |= 0x10000000000000000000000000000;

          if (xSignifier == 0) return NEGATIVE_INFINITY;

          bool resultNegative;
          uint256 resultExponent = 16495;
          uint256 resultSignifier;

          if (xExponent >= 0x3FFF) {
            resultNegative = false;
            resultSignifier = xExponent - 0x3FFF;
            xSignifier <<= 15;
          } else {
            resultNegative = true;
            if (xSignifier >= 0x10000000000000000000000000000) {
              resultSignifier = 0x3FFE - xExponent;
              xSignifier <<= 15;
            } else {
              uint256 msb = mostSignificantBit (xSignifier);
              resultSignifier = 16493 - msb;
              xSignifier <<= 127 - msb;
            }
          }

          if (xSignifier == 0x80000000000000000000000000000000) {
            if (resultNegative) resultSignifier += 1;
            uint256 shift = 112 - mostSignificantBit (resultSignifier);
            resultSignifier <<= shift;
            resultExponent -= shift;
          } else {
            uint256 bb = resultNegative ? 1 : 0;
            while (resultSignifier < 0x10000000000000000000000000000) {
              resultSignifier <<= 1;
              resultExponent -= 1;
  
              xSignifier *= xSignifier;
              uint256 b = xSignifier >> 255;
              resultSignifier += b ^ bb;
              xSignifier >>= 127 + b;
            }
          }

          return bytes16 (uint128 ((resultNegative ? 0x80000000000000000000000000000000 : 0) |
              resultExponent << 112 | resultSignifier & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF));
        }
      }
    }
  }

  /**
   * Calculate natural logarithm of x.  Return NaN on negative x excluding -0.
   *
   * @param x quadruple precision number
   * @return quadruple precision number
   */
  function ln (bytes16 x) internal pure returns (bytes16) {
    unchecked {
      return mul (log_2 (x), 0x3FFE62E42FEFA39EF35793C7673007E5);
    }
  }

  /**
   * Calculate 2^x.
   *
   * @param x quadruple precision number
   * @return quadruple precision number
   */
  function pow_2 (bytes16 x) internal pure returns (bytes16) {
    unchecked {
      bool xNegative = uint128 (x) > 0x80000000000000000000000000000000;
      uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
      uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;

      if (xExponent == 0x7FFF && xSignifier != 0) return NaN;
      else if (xExponent > 16397)
        return xNegative ? POSITIVE_ZERO : POSITIVE_INFINITY;
      else if (xExponent < 16255)
        return 0x3FFF0000000000000000000000000000;
      else {
        if (xExponent == 0) xExponent = 1;
        else xSignifier |= 0x10000000000000000000000000000;

        if (xExponent > 16367)
          xSignifier <<= xExponent - 16367;
        else if (xExponent < 16367)
          xSignifier >>= 16367 - xExponent;

        if (xNegative && xSignifier > 0x406E00000000000000000000000000000000)
          return POSITIVE_ZERO;

        if (!xNegative && xSignifier > 0x3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF)
          return POSITIVE_INFINITY;

        uint256 resultExponent = xSignifier >> 128;
        xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
        if (xNegative && xSignifier != 0) {
          xSignifier = ~xSignifier;
          resultExponent += 1;
        }

        uint256 resultSignifier = 0x80000000000000000000000000000000;
        if (xSignifier & 0x80000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x16A09E667F3BCC908B2FB1366EA957D3E >> 128;
        if (xSignifier & 0x40000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1306FE0A31B7152DE8D5A46305C85EDEC >> 128;
        if (xSignifier & 0x20000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1172B83C7D517ADCDF7C8C50EB14A791F >> 128;
        if (xSignifier & 0x10000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10B5586CF9890F6298B92B71842A98363 >> 128;
        if (xSignifier & 0x8000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1059B0D31585743AE7C548EB68CA417FD >> 128;
        if (xSignifier & 0x4000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x102C9A3E778060EE6F7CACA4F7A29BDE8 >> 128;
        if (xSignifier & 0x2000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10163DA9FB33356D84A66AE336DCDFA3F >> 128;
        if (xSignifier & 0x1000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100B1AFA5ABCBED6129AB13EC11DC9543 >> 128;
        if (xSignifier & 0x800000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10058C86DA1C09EA1FF19D294CF2F679B >> 128;
        if (xSignifier & 0x400000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1002C605E2E8CEC506D21BFC89A23A00F >> 128;
        if (xSignifier & 0x200000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100162F3904051FA128BCA9C55C31E5DF >> 128;
        if (xSignifier & 0x100000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000B175EFFDC76BA38E31671CA939725 >> 128;
        if (xSignifier & 0x80000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100058BA01FB9F96D6CACD4B180917C3D >> 128;
        if (xSignifier & 0x40000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10002C5CC37DA9491D0985C348C68E7B3 >> 128;
        if (xSignifier & 0x20000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000162E525EE054754457D5995292026 >> 128;
        if (xSignifier & 0x10000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000B17255775C040618BF4A4ADE83FC >> 128;
        if (xSignifier & 0x8000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000058B91B5BC9AE2EED81E9B7D4CFAB >> 128;
        if (xSignifier & 0x4000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100002C5C89D5EC6CA4D7C8ACC017B7C9 >> 128;
        if (xSignifier & 0x2000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000162E43F4F831060E02D839A9D16D >> 128;
        if (xSignifier & 0x1000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000B1721BCFC99D9F890EA06911763 >> 128;
        if (xSignifier & 0x800000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000058B90CF1E6D97F9CA14DBCC1628 >> 128;
        if (xSignifier & 0x400000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000002C5C863B73F016468F6BAC5CA2B >> 128;
        if (xSignifier & 0x200000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000162E430E5A18F6119E3C02282A5 >> 128;
        if (xSignifier & 0x100000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000B1721835514B86E6D96EFD1BFE >> 128;
        if (xSignifier & 0x80000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000058B90C0B48C6BE5DF846C5B2EF >> 128;
        if (xSignifier & 0x40000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000002C5C8601CC6B9E94213C72737A >> 128;
        if (xSignifier & 0x20000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000162E42FFF037DF38AA2B219F06 >> 128;
        if (xSignifier & 0x10000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000B17217FBA9C739AA5819F44F9 >> 128;
        if (xSignifier & 0x8000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000058B90BFCDEE5ACD3C1CEDC823 >> 128;
        if (xSignifier & 0x4000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000002C5C85FE31F35A6A30DA1BE50 >> 128;
        if (xSignifier & 0x2000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000162E42FF0999CE3541B9FFFCF >> 128;
        if (xSignifier & 0x1000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000B17217F80F4EF5AADDA45554 >> 128;
        if (xSignifier & 0x800000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000058B90BFBF8479BD5A81B51AD >> 128;
        if (xSignifier & 0x400000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000002C5C85FDF84BD62AE30A74CC >> 128;
        if (xSignifier & 0x200000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000162E42FEFB2FED257559BDAA >> 128;
        if (xSignifier & 0x100000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000B17217F7D5A7716BBA4A9AE >> 128;
        if (xSignifier & 0x80000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000058B90BFBE9DDBAC5E109CCE >> 128;
        if (xSignifier & 0x40000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000002C5C85FDF4B15DE6F17EB0D >> 128;
        if (xSignifier & 0x20000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000162E42FEFA494F1478FDE05 >> 128;
        if (xSignifier & 0x10000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000B17217F7D20CF927C8E94C >> 128;
        if (xSignifier & 0x8000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000058B90BFBE8F71CB4E4B33D >> 128;
        if (xSignifier & 0x4000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000002C5C85FDF477B662B26945 >> 128;
        if (xSignifier & 0x2000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000162E42FEFA3AE53369388C >> 128;
        if (xSignifier & 0x1000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000B17217F7D1D351A389D40 >> 128;
        if (xSignifier & 0x800000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000058B90BFBE8E8B2D3D4EDE >> 128;
        if (xSignifier & 0x400000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000002C5C85FDF4741BEA6E77E >> 128;
        if (xSignifier & 0x200000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000162E42FEFA39FE95583C2 >> 128;
        if (xSignifier & 0x100000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000B17217F7D1CFB72B45E1 >> 128;
        if (xSignifier & 0x80000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000058B90BFBE8E7CC35C3F0 >> 128;
        if (xSignifier & 0x40000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000002C5C85FDF473E242EA38 >> 128;
        if (xSignifier & 0x20000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000162E42FEFA39F02B772C >> 128;
        if (xSignifier & 0x10000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000B17217F7D1CF7D83C1A >> 128;
        if (xSignifier & 0x8000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000058B90BFBE8E7BDCBE2E >> 128;
        if (xSignifier & 0x4000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000002C5C85FDF473DEA871F >> 128;
        if (xSignifier & 0x2000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000162E42FEFA39EF44D91 >> 128;
        if (xSignifier & 0x1000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000B17217F7D1CF79E949 >> 128;
        if (xSignifier & 0x800000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000058B90BFBE8E7BCE544 >> 128;
        if (xSignifier & 0x400000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000002C5C85FDF473DE6ECA >> 128;
        if (xSignifier & 0x200000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000162E42FEFA39EF366F >> 128;
        if (xSignifier & 0x100000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000B17217F7D1CF79AFA >> 128;
        if (xSignifier & 0x80000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000058B90BFBE8E7BCD6D >> 128;
        if (xSignifier & 0x40000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000002C5C85FDF473DE6B2 >> 128;
        if (xSignifier & 0x20000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000162E42FEFA39EF358 >> 128;
        if (xSignifier & 0x10000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000B17217F7D1CF79AB >> 128;
        if (xSignifier & 0x8000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000058B90BFBE8E7BCD5 >> 128;
        if (xSignifier & 0x4000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000002C5C85FDF473DE6A >> 128;
        if (xSignifier & 0x2000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000162E42FEFA39EF34 >> 128;
        if (xSignifier & 0x1000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000B17217F7D1CF799 >> 128;
        if (xSignifier & 0x800000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000058B90BFBE8E7BCC >> 128;
        if (xSignifier & 0x400000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000002C5C85FDF473DE5 >> 128;
        if (xSignifier & 0x200000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000162E42FEFA39EF2 >> 128;
        if (xSignifier & 0x100000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000B17217F7D1CF78 >> 128;
        if (xSignifier & 0x80000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000058B90BFBE8E7BB >> 128;
        if (xSignifier & 0x40000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000002C5C85FDF473DD >> 128;
        if (xSignifier & 0x20000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000162E42FEFA39EE >> 128;
        if (xSignifier & 0x10000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000B17217F7D1CF6 >> 128;
        if (xSignifier & 0x8000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000058B90BFBE8E7A >> 128;
        if (xSignifier & 0x4000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000002C5C85FDF473C >> 128;
        if (xSignifier & 0x2000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000162E42FEFA39D >> 128;
        if (xSignifier & 0x1000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000B17217F7D1CE >> 128;
        if (xSignifier & 0x800000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000058B90BFBE8E6 >> 128;
        if (xSignifier & 0x400000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000002C5C85FDF472 >> 128;
        if (xSignifier & 0x200000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000162E42FEFA38 >> 128;
        if (xSignifier & 0x100000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000B17217F7D1B >> 128;
        if (xSignifier & 0x80000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000058B90BFBE8D >> 128;
        if (xSignifier & 0x40000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000002C5C85FDF46 >> 128;
        if (xSignifier & 0x20000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000162E42FEFA2 >> 128;
        if (xSignifier & 0x10000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000B17217F7D0 >> 128;
        if (xSignifier & 0x8000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000058B90BFBE7 >> 128;
        if (xSignifier & 0x4000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000002C5C85FDF3 >> 128;
        if (xSignifier & 0x2000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000162E42FEF9 >> 128;
        if (xSignifier & 0x1000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000B17217F7C >> 128;
        if (xSignifier & 0x800000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000058B90BFBD >> 128;
        if (xSignifier & 0x400000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000002C5C85FDE >> 128;
        if (xSignifier & 0x200000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000162E42FEE >> 128;
        if (xSignifier & 0x100000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000B17217F6 >> 128;
        if (xSignifier & 0x80000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000058B90BFA >> 128;
        if (xSignifier & 0x40000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000002C5C85FC >> 128;
        if (xSignifier & 0x20000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000162E42FD >> 128;
        if (xSignifier & 0x10000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000B17217E >> 128;
        if (xSignifier & 0x8000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000058B90BE >> 128;
        if (xSignifier & 0x4000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000002C5C85E >> 128;
        if (xSignifier & 0x2000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000162E42E >> 128;
        if (xSignifier & 0x1000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000B17216 >> 128;
        if (xSignifier & 0x800000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000058B90A >> 128;
        if (xSignifier & 0x400000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000002C5C84 >> 128;
        if (xSignifier & 0x200000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000162E41 >> 128;
        if (xSignifier & 0x100000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000B1720 >> 128;
        if (xSignifier & 0x80000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000058B8F >> 128;
        if (xSignifier & 0x40000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000002C5C7 >> 128;
        if (xSignifier & 0x20000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000162E3 >> 128;
        if (xSignifier & 0x10000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000B171 >> 128;
        if (xSignifier & 0x8000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000058B8 >> 128;
        if (xSignifier & 0x4000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000002C5B >> 128;
        if (xSignifier & 0x2000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000162D >> 128;
        if (xSignifier & 0x1000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000B16 >> 128;
        if (xSignifier & 0x800 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000058A >> 128;
        if (xSignifier & 0x400 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000002C4 >> 128;
        if (xSignifier & 0x200 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000161 >> 128;
        if (xSignifier & 0x100 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000000B0 >> 128;
        if (xSignifier & 0x80 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000057 >> 128;
        if (xSignifier & 0x40 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000002B >> 128;
        if (xSignifier & 0x20 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000015 >> 128;
        if (xSignifier & 0x10 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000000A >> 128;
        if (xSignifier & 0x8 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000004 >> 128;
        if (xSignifier & 0x4 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000001 >> 128;

        if (!xNegative) {
          resultSignifier = resultSignifier >> 15 & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
          resultExponent += 0x3FFF;
        } else if (resultExponent <= 0x3FFE) {
          resultSignifier = resultSignifier >> 15 & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
          resultExponent = 0x3FFF - resultExponent;
        } else {
          resultSignifier = resultSignifier >> resultExponent - 16367;
          resultExponent = 0;
        }

        return bytes16 (uint128 (resultExponent << 112 | resultSignifier));
      }
    }
  }

  /**
   * Calculate e^x.
   *
   * @param x quadruple precision number
   * @return quadruple precision number
   */
  function exp (bytes16 x) internal pure returns (bytes16) {
    unchecked {
      return pow_2 (mul (x, 0x3FFF71547652B82FE1777D0FFDA0D23A));
    }
  }

  /**
   * Get index of the most significant non-zero bit in binary representation of
   * x.  Reverts if x is zero.
   *
   * @return index of the most significant non-zero bit in binary representation
   *         of x
   */
  function mostSignificantBit (uint256 x) private pure returns (uint256) {
    unchecked {
      require (x > 0);

      uint256 result = 0;

      if (x >= 0x100000000000000000000000000000000) { x >>= 128; result += 128; }
      if (x >= 0x10000000000000000) { x >>= 64; result += 64; }
      if (x >= 0x100000000) { x >>= 32; result += 32; }
      if (x >= 0x10000) { x >>= 16; result += 16; }
      if (x >= 0x100) { x >>= 8; result += 8; }
      if (x >= 0x10) { x >>= 4; result += 4; }
      if (x >= 0x4) { x >>= 2; result += 2; }
      if (x >= 0x2) result += 1; // No need to shift x anymore

      return result;
    }
  }
}

// File: contracts/libraries/errors/Errors.sol


pragma solidity 0.8.17;

library Errors {
    /// @notice Error thrown when the lpToken address is not supported
    /// @dev List of supported LpTokens are defined in {LiquidityMining._lpTokens}
    string public constant LP_TOKEN_NOT_SUPPORTED = "PT_701";
    /// @notice Error thrown when the caller / msgSender is not a PowerToken smart contract
    string public constant CALLER_NOT_POWER_TOKEN = "PT_702";
    /// @notice Error thrown when the caller / msgSender is not a LiquidityMining smart contract
    string public constant CALLER_NOT_LIQUIDITY_MINING = "PT_703";
    /// @notice Error thrown when the caller / msgSender is not a Pause Manager address.
    /// @dev Pause Manager can be defined by smart contract's Onwer
    string public constant CALLER_NOT_PAUSE_MANAGER = "PT_704";
    /// @notice Error thrown when the account's base balance is too low
    string public constant ACCOUNT_BASE_BALANCE_IS_TOO_LOW = "PT_705";
    /// @notice Error thrown when the account's Lp Token balance is too low
    string public constant ACCOUNT_LP_TOKEN_BALANCE_IS_TOO_LOW = "PT_706";
    /// @notice Error thrown when the account's delegated balance is too low
    string public constant ACC_DELEGATED_TO_LIQUIDITY_MINING_BALANCE_IS_TOO_LOW = "PT_707";
    /// @notice Error thrown when the account's available Power Token balance is too low
    string public constant ACC_AVAILABLE_POWER_TOKEN_BALANCE_IS_TOO_LOW = "PT_708";
    /// @notice Error thrown when the account doesn't have the rewards (Staked Tokens / Power Tokens) to claim
    string public constant NO_REWARDS_TO_CLAIM = "PT_709";
    /// @notice Error thrown when the cooldown is not finished.
    string public constant COOL_DOWN_NOT_FINISH = "PT_710";
    /// @notice Error thrown when the aggregate power up indicator is going to be negative during the calculation.
    string public constant AGGREGATE_POWER_UP_COULD_NOT_BE_NEGATIVE = "PT_711";
    /// @notice Error thrown when the block number used in the function is lower than previous block number stored in the liquidity mining indicators.
    string public constant BLOCK_NUMBER_LOWER_THAN_PREVIOUS_BLOCK_NUMBER = "PT_712";
    /// @notice Account Composite Multiplier indicator is greater or equal to Composit Multiplier indicator, but it should be lower or equal
    string public constant ACCOUNT_COMPOSITE_MULTIPLIER_GT_COMPOSITE_MULTIPLIER = "PT_713";
    /// @notice The fee for unstacking of Power Tokens should be number between (0, 1e18)
    string public constant UNSTAKE_WITHOUT_COOLDOWN_FEE_IS_TO_HIGH = "PT_714";
    /// @notice General problem, address is wrong
    string public constant WRONG_ADDRESS = "PT_715";
    /// @notice General problem, contract is wrong
    string public constant WRONG_CONTRACT_ID = "PT_716";
    /// @notice Value not greater than zero
    string public constant VALUE_NOT_GREATER_THAN_ZERO = "PT_717";
    /// @notice Appeared when input of two arrays length mismatch
    string public constant INPUT_ARRAYS_LENGTH_MISMATCH = "PT_718";
    /// @notice msg.sender is not an appointed owner, it cannot confirm their ownership
    string public constant SENDER_NOT_APPOINTED_OWNER = "PT_719";
}

// File: contracts/libraries/math/MiningCalculation.sol


pragma solidity 0.8.17;






/// @title Library containing the core logic used in the Liquidity Mining module.
library MiningCalculation {
    bytes16 constant N0_00 = 0x00000000000000000000000000000000;
    bytes16 constant N0_01 = 0x3ff847ae147ae147b74da9ca30cfea4b; //0.01
    bytes16 constant N0_02 = 0x3ff947ae147ae147b2b11255bc3eff63; // 0.02
    bytes16 constant N0_03 = 0x3ff9eb851eb851eb89bb4fc6601609a0; // 0.03
    bytes16 constant N0_04 = 0x3ffa47ae147ae147b062c69b81f689ee; // 0.04
    bytes16 constant N0_05 = 0x3ffa9999999999999be7e553d3e20f0d; // 0.05

    bytes16 constant SLOPE_1 = 0x40024000000000000000000000000000; //   10.0
    bytes16 constant BASE_1 = 0x3ffc9999999999999a2d2c88282bb6f6; //    0.2

    bytes16 constant SLOPE_2 = 0x40010000000000000000000000000000; //   4.0
    bytes16 constant BASE_2 = 0x3ffd0a3d70a3d70a3dba6d4e51867f52; //    0.26

    bytes16 constant SLOPE_3 = 0x40008000000000000000000000000000; //   3.0
    bytes16 constant BASE_3 = 0x3ffd1eb851eb851eb89bb4fc6601609a; //    0.28

    bytes16 constant SLOPE_4 = 0x40000000000000000000000000000000; //   2.0
    bytes16 constant BASE_4 = 0x3ffd3d70a3d70a3d70eda08184b9b285; //    0.31

    bytes16 constant SLOPE_5 = 0x3fff0000000000000000000000000000; //   2.0
    bytes16 constant BASE_5 = 0x3ffd66666666666666b02fddadaf7514; //    0.31

    using SafeCast for uint256;
    using SafeCast for int256;

    /// @notice Calculases the Power-up indicator for a given account.
    /// @param accountPwTokenAmount account's Power Tokens amount
    /// @param accountLpTokenAmount account's lpTokens amount
    /// @param verticalShift preconfigured param, vertical shift used in equation calculating the account's power-up
    /// @param horizontalShift preconfigured param, horizontal shift used in equation calculating account's power-up
    /// @return power-up indicator of a given account
    function calculateAccountPowerUp(
        uint256 accountPwTokenAmount,
        uint256 accountLpTokenAmount,
        bytes16 verticalShift,
        bytes16 horizontalShift
    ) internal pure returns (uint256) {
        if (accountLpTokenAmount < Constants.D18) {
            return 0;
        }

        bytes16 accountPwTokenAmountQP = _toQuadruplePrecision(accountPwTokenAmount, Constants.D18);
        bytes16 lpTokenAmountQP = _toQuadruplePrecision(accountLpTokenAmount, Constants.D18);
        bytes16 ratio = ABDKMathQuad.div(accountPwTokenAmountQP, lpTokenAmountQP);

        bytes16 result;
        if (ABDKMathQuad.cmp(N0_05, ratio) >= 0) {
            result = accountPowerUpStepFunction(ratio);
        } else {
            bytes16 pwTokenAmountWithModifierQP = ABDKMathQuad.mul(
                _getPwTokenModifier(),
                accountPwTokenAmountQP
            );

            bytes16 underLog = ABDKMathQuad.add(
                ABDKMathQuad.div(pwTokenAmountWithModifierQP, lpTokenAmountQP),
                horizontalShift
            );

            result = ABDKMathQuad.add(verticalShift, ABDKMathQuad.log_2(underLog));
        }
        bytes16 resultD18 = ABDKMathQuad.mul(result, ABDKMathQuad.fromUInt(Constants.D18));

        return ABDKMathQuad.toUInt(resultD18);
    }

    /// @notice Calculates the aggreagated power-up. Aggregate power-up is a synthetic summary of all power-ups across all users.
    /// It's used to calculate the individual rewards in relation to the rest of the pool.
    /// @param accountPowerUp power up indicator is calculated for a given account
    /// @param accountLpTokenAmount lpToken amount for a given account
    /// @param previousAccountPowerUp previous power-up indicator for a given account
    /// @param previousAccountLpTokenAmount previous lpToken amount for a given account
    /// @param previousAggregatedPowerUp previous aggregated power-up indicator
    function calculateAggregatedPowerUp(
        uint256 accountPowerUp,
        uint256 accountLpTokenAmount,
        uint256 previousAccountPowerUp,
        uint256 previousAccountLpTokenAmount,
        uint256 previousAggregatedPowerUp
    ) internal pure returns (uint256) {
        int256 apu = accountPowerUp.toInt256() *
            accountLpTokenAmount.toInt256() -
            previousAccountPowerUp.toInt256() *
            previousAccountLpTokenAmount.toInt256();

        uint256 newApu;

        if (apu < 0) {
            uint256 absApu = Math.division((-apu).toUint256(), Constants.D18);

            /// @dev the last unstaking of lpTokens can experience a rounding error
            if (previousAggregatedPowerUp < absApu && previousAggregatedPowerUp + 10000 >= absApu) {
                return 0;
            }

            require(
                previousAggregatedPowerUp >= absApu,
                Errors.AGGREGATE_POWER_UP_COULD_NOT_BE_NEGATIVE
            );

            newApu = previousAggregatedPowerUp - absApu;
        } else {
            newApu = previousAggregatedPowerUp + Math.division(apu.toUint256(), Constants.D18);
        }

        if (newApu < 10000) {
            return 0;
        }
        return newApu;
    }

    /// @notice Calculates the rewards from last rebalancing including block number given as a param.
    /// @param blockNumber block number for which the rewards calculation is executed
    /// @param lastRebalanceBlockNumber block number when last rewards rebalance was executed
    /// @param rewardsPerBlock configuration param describing how many pwTokens are rewarded across all participants per one block, represendet with 8 decimals
    /// @param previousAccruedRewards number of previously cumulated/accrued rewards
    /// @return new accrued rewards, amount of Power Tokens accrued for given params
    function calculateAccruedRewards(
        uint256 blockNumber,
        uint256 lastRebalanceBlockNumber,
        uint256 rewardsPerBlock,
        uint256 previousAccruedRewards
    ) internal pure returns (uint256) {
        require(
            blockNumber >= lastRebalanceBlockNumber,
            Errors.BLOCK_NUMBER_LOWER_THAN_PREVIOUS_BLOCK_NUMBER
        );
        uint256 newRewards = (blockNumber - lastRebalanceBlockNumber) *
            rewardsPerBlock *
            Constants.D10;
        return previousAccruedRewards + newRewards;
    }

    /// @notice Calculates the Composite Multiplier Indicator
    /// @param rewardsPerBlock config param, number of Power Token rewardes across all participants in one block, represented with 8 decimals
    /// @param aggregatedPowerUp Aggregated Power-up indicator, represented with 18 decimals
    /// @return composite multiplier, value represented with 27 decimals
    function calculateCompositeMultiplier(uint256 rewardsPerBlock, uint256 aggregatedPowerUp)
        internal
        pure
        returns (uint256)
    {
        if (aggregatedPowerUp == 0) {
            return 0;
        }
        /// @dev decimals: 8 + 18 + 19 - 18 = 27
        return Math.division(rewardsPerBlock * Constants.D18 * Constants.D19, aggregatedPowerUp);
    }

    /// @notice calculates the account's rewards issued in pwTokens
    /// @param accountLpTokenAmount amount of lpTokens for a given account
    /// @param accountPowerUp value of power-up indicator for a given account
    /// @param accountCompMultiplierCumulativePrevBlock Account Composite Multiplier Cumulative for the Previous Block, value from last Account Indicator update of param Composite Multiplier Cumulative for a given account
    /// @param accruedCompMultiplierCumulativePrevBlock Accrued Composite Multiplier Cumulative for the Previous Block, accrued value (in a current block) of param Composite Multiplier Cumulative global
    /// @return rewards, amount of Staked Tokens (or Power Tokens because are in 1:1 relation with Staked Tokens), represented with 18 decimals
    function calculateAccountRewards(
        uint256 accountLpTokenAmount,
        uint256 accountPowerUp,
        uint256 accountCompMultiplierCumulativePrevBlock,
        uint256 accruedCompMultiplierCumulativePrevBlock
    ) internal pure returns (uint256) {
        require(
            accruedCompMultiplierCumulativePrevBlock >= accountCompMultiplierCumulativePrevBlock,
            Errors.ACCOUNT_COMPOSITE_MULTIPLIER_GT_COMPOSITE_MULTIPLIER
        );

        uint256 accountStakedTokenRewards = accountLpTokenAmount *
            accountPowerUp *
            (accruedCompMultiplierCumulativePrevBlock - accountCompMultiplierCumulativePrevBlock);

        /// @dev decimals: 18 + 18 + 27 - 45 =  18
        return Math.division(accountStakedTokenRewards, Constants.D45);
    }

    /// @notice Calculates the accrued Composite Multiplier Cumulative for the previous block
    /// @param currentBlockNumber Current block number
    /// @param globalIndBlockNumber Block number of the last update of the Global Indicators
    /// @param globalIndCompositeMultiplierInTheBlock Configuration param - Composite Multiplier for one block defined in Global Indicators
    /// @param globalIndCompositeMultiplierCumulativePrevBlock Compositne Multiplier Comulative for a previous block defined in Global Indicators structure.
    function calculateAccruedCompMultiplierCumulativePrevBlock(
        uint256 currentBlockNumber,
        uint256 globalIndBlockNumber,
        uint256 globalIndCompositeMultiplierInTheBlock,
        uint256 globalIndCompositeMultiplierCumulativePrevBlock
    ) internal pure returns (uint256) {
        return
            globalIndCompositeMultiplierCumulativePrevBlock +
            (currentBlockNumber - globalIndBlockNumber) *
            globalIndCompositeMultiplierInTheBlock;
    }

    function accountPowerUpStepFunction(bytes16 ratio) internal pure returns (bytes16) {
        if (ABDKMathQuad.cmp(N0_01, ratio) > 0) {
            return ABDKMathQuad.add(BASE_1, ABDKMathQuad.mul(SLOPE_1, ratio));
        } else if (ABDKMathQuad.cmp(N0_02, ratio) > 0) {
            return ABDKMathQuad.add(BASE_2, ABDKMathQuad.mul(SLOPE_2, ratio));
        } else if (ABDKMathQuad.cmp(N0_03, ratio) > 0) {
            return ABDKMathQuad.add(BASE_3, ABDKMathQuad.mul(SLOPE_3, ratio));
        } else if (ABDKMathQuad.cmp(N0_04, ratio) > 0) {
            return ABDKMathQuad.add(BASE_4, ABDKMathQuad.mul(SLOPE_4, ratio));
        } else {
            return ABDKMathQuad.add(BASE_5, ABDKMathQuad.mul(SLOPE_5, ratio));
        }
    }

    /// @dev Quadruple precision, 128 bits
    function _toQuadruplePrecision(uint256 number, uint256 decimals)
        private
        pure
        returns (bytes16)
    {
        if (number % decimals > 0) {
            /// @dev during calculation this value is lost in the conversion
            number += 1;
        }
        bytes16 nominator = ABDKMathQuad.fromUInt(number);
        bytes16 denominator = ABDKMathQuad.fromUInt(decimals);
        bytes16 fraction = ABDKMathQuad.div(nominator, denominator);
        return fraction;
    }

    /// @dev Quadruple precision, 128 bits
    function _getPwTokenModifier() private pure returns (bytes16) {
        return ABDKMathQuad.fromUInt(2);
    }
}

// File: @openzeppelin/contracts-upgradeable/utils/StorageSlotUpgradeable.sol


// OpenZeppelin Contracts (last updated v4.7.0) (utils/StorageSlot.sol)

pragma solidity ^0.8.0;

/**
 * @dev Library for reading and writing primitive types to specific storage slots.
 *
 * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
 * This library helps with reading and writing to such slots without the need for inline assembly.
 *
 * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
 *
 * Example usage to set ERC1967 implementation slot:
 * ```
 * contract ERC1967 {
 *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
 *
 *     function _getImplementation() internal view returns (address) {
 *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
 *     }
 *
 *     function _setImplementation(address newImplementation) internal {
 *         require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
 *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
 *     }
 * }
 * ```
 *
 * _Available since v4.1 for `address`, `bool`, `bytes32`, and `uint256`._
 */
library StorageSlotUpgradeable {
    struct AddressSlot {
        address value;
    }

    struct BooleanSlot {
        bool value;
    }

    struct Bytes32Slot {
        bytes32 value;
    }

    struct Uint256Slot {
        uint256 value;
    }

    /**
     * @dev Returns an `AddressSlot` with member `value` located at `slot`.
     */
    function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }

    /**
     * @dev Returns an `BooleanSlot` with member `value` located at `slot`.
     */
    function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }

    /**
     * @dev Returns an `Bytes32Slot` with member `value` located at `slot`.
     */
    function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }

    /**
     * @dev Returns an `Uint256Slot` with member `value` located at `slot`.
     */
    function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }
}

// File: @openzeppelin/contracts-upgradeable/proxy/beacon/IBeaconUpgradeable.sol


// OpenZeppelin Contracts v4.4.1 (proxy/beacon/IBeacon.sol)

pragma solidity ^0.8.0;

/**
 * @dev This is the interface that {BeaconProxy} expects of its beacon.
 */
interface IBeaconUpgradeable {
    /**
     * @dev Must return an address that can be used as a delegate call target.
     *
     * {BeaconProxy} will check that this address is a contract.
     */
    function implementation() external view returns (address);
}

// File: @openzeppelin/contracts-upgradeable/interfaces/draft-IERC1822Upgradeable.sol


// OpenZeppelin Contracts (last updated v4.5.0) (interfaces/draft-IERC1822.sol)

pragma solidity ^0.8.0;

/**
 * @dev ERC1822: Universal Upgradeable Proxy Standard (UUPS) documents a method for upgradeability through a simplified
 * proxy whose upgrades are fully controlled by the current implementation.
 */
interface IERC1822ProxiableUpgradeable {
    /**
     * @dev Returns the storage slot that the proxiable contract assumes is being used to store the implementation
     * address.
     *
     * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
     * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
     * function revert if invoked through a proxy.
     */
    function proxiableUUID() external view returns (bytes32);
}

// File: @openzeppelin/contracts-upgradeable/utils/AddressUpgradeable.sol


// 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);
            }
        }
    }
}

// File: @openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol


// OpenZeppelin Contracts (last updated v4.7.0) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;


/**
 * @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);
        }
    }
}

// File: @openzeppelin/contracts-upgradeable/proxy/ERC1967/ERC1967UpgradeUpgradeable.sol


// OpenZeppelin Contracts (last updated v4.5.0) (proxy/ERC1967/ERC1967Upgrade.sol)

pragma solidity ^0.8.2;






/**
 * @dev This abstract contract provides getters and event emitting update functions for
 * https://eips.ethereum.org/EIPS/eip-1967[EIP1967] slots.
 *
 * _Available since v4.1._
 *
 * @custom:oz-upgrades-unsafe-allow delegatecall
 */
abstract contract ERC1967UpgradeUpgradeable is Initializable {
    function __ERC1967Upgrade_init() internal onlyInitializing {
    }

    function __ERC1967Upgrade_init_unchained() internal onlyInitializing {
    }
    // This is the keccak-256 hash of "eip1967.proxy.rollback" subtracted by 1
    bytes32 private constant _ROLLBACK_SLOT = 0x4910fdfa16fed3260ed0e7147f7cc6da11a60208b5b9406d12a635614ffd9143;

    /**
     * @dev Storage slot with the address of the current implementation.
     * This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1, and is
     * validated in the constructor.
     */
    bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;

    /**
     * @dev Emitted when the implementation is upgraded.
     */
    event Upgraded(address indexed implementation);

    /**
     * @dev Returns the current implementation address.
     */
    function _getImplementation() internal view returns (address) {
        return StorageSlotUpgradeable.getAddressSlot(_IMPLEMENTATION_SLOT).value;
    }

    /**
     * @dev Stores a new address in the EIP1967 implementation slot.
     */
    function _setImplementation(address newImplementation) private {
        require(AddressUpgradeable.isContract(newImplementation), "ERC1967: new implementation is not a contract");
        StorageSlotUpgradeable.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
    }

    /**
     * @dev Perform implementation upgrade
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeTo(address newImplementation) internal {
        _setImplementation(newImplementation);
        emit Upgraded(newImplementation);
    }

    /**
     * @dev Perform implementation upgrade with additional setup call.
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeToAndCall(
        address newImplementation,
        bytes memory data,
        bool forceCall
    ) internal {
        _upgradeTo(newImplementation);
        if (data.length > 0 || forceCall) {
            _functionDelegateCall(newImplementation, data);
        }
    }

    /**
     * @dev Perform implementation upgrade with security checks for UUPS proxies, and additional setup call.
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeToAndCallUUPS(
        address newImplementation,
        bytes memory data,
        bool forceCall
    ) internal {
        // Upgrades from old implementations will perform a rollback test. This test requires the new
        // implementation to upgrade back to the old, non-ERC1822 compliant, implementation. Removing
        // this special case will break upgrade paths from old UUPS implementation to new ones.
        if (StorageSlotUpgradeable.getBooleanSlot(_ROLLBACK_SLOT).value) {
            _setImplementation(newImplementation);
        } else {
            try IERC1822ProxiableUpgradeable(newImplementation).proxiableUUID() returns (bytes32 slot) {
                require(slot == _IMPLEMENTATION_SLOT, "ERC1967Upgrade: unsupported proxiableUUID");
            } catch {
                revert("ERC1967Upgrade: new implementation is not UUPS");
            }
            _upgradeToAndCall(newImplementation, data, forceCall);
        }
    }

    /**
     * @dev Storage slot with the admin of the contract.
     * This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1, and is
     * validated in the constructor.
     */
    bytes32 internal constant _ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;

    /**
     * @dev Emitted when the admin account has changed.
     */
    event AdminChanged(address previousAdmin, address newAdmin);

    /**
     * @dev Returns the current admin.
     */
    function _getAdmin() internal view returns (address) {
        return StorageSlotUpgradeable.getAddressSlot(_ADMIN_SLOT).value;
    }

    /**
     * @dev Stores a new address in the EIP1967 admin slot.
     */
    function _setAdmin(address newAdmin) private {
        require(newAdmin != address(0), "ERC1967: new admin is the zero address");
        StorageSlotUpgradeable.getAddressSlot(_ADMIN_SLOT).value = newAdmin;
    }

    /**
     * @dev Changes the admin of the proxy.
     *
     * Emits an {AdminChanged} event.
     */
    function _changeAdmin(address newAdmin) internal {
        emit AdminChanged(_getAdmin(), newAdmin);
        _setAdmin(newAdmin);
    }

    /**
     * @dev The storage slot of the UpgradeableBeacon contract which defines the implementation for this proxy.
     * This is bytes32(uint256(keccak256('eip1967.proxy.beacon')) - 1)) and is validated in the constructor.
     */
    bytes32 internal constant _BEACON_SLOT = 0xa3f0ad74e5423aebfd80d3ef4346578335a9a72aeaee59ff6cb3582b35133d50;

    /**
     * @dev Emitted when the beacon is upgraded.
     */
    event BeaconUpgraded(address indexed beacon);

    /**
     * @dev Returns the current beacon.
     */
    function _getBeacon() internal view returns (address) {
        return StorageSlotUpgradeable.getAddressSlot(_BEACON_SLOT).value;
    }

    /**
     * @dev Stores a new beacon in the EIP1967 beacon slot.
     */
    function _setBeacon(address newBeacon) private {
        require(AddressUpgradeable.isContract(newBeacon), "ERC1967: new beacon is not a contract");
        require(
            AddressUpgradeable.isContract(IBeaconUpgradeable(newBeacon).implementation()),
            "ERC1967: beacon implementation is not a contract"
        );
        StorageSlotUpgradeable.getAddressSlot(_BEACON_SLOT).value = newBeacon;
    }

    /**
     * @dev Perform beacon upgrade with additional setup call. Note: This upgrades the address of the beacon, it does
     * not upgrade the implementation contained in the beacon (see {UpgradeableBeacon-_setImplementation} for that).
     *
     * Emits a {BeaconUpgraded} event.
     */
    function _upgradeBeaconToAndCall(
        address newBeacon,
        bytes memory data,
        bool forceCall
    ) internal {
        _setBeacon(newBeacon);
        emit BeaconUpgraded(newBeacon);
        if (data.length > 0 || forceCall) {
            _functionDelegateCall(IBeaconUpgradeable(newBeacon).implementation(), data);
        }
    }

    /**
     * @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) private returns (bytes memory) {
        require(AddressUpgradeable.isContract(target), "Address: delegate call to non-contract");

        // solhint-disable-next-line avoid-low-level-calls
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return AddressUpgradeable.verifyCallResult(success, returndata, "Address: low-level delegate call failed");
    }

    /**
     * @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;
}

// File: @openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol


// OpenZeppelin Contracts (last updated v4.5.0) (proxy/utils/UUPSUpgradeable.sol)

pragma solidity ^0.8.0;




/**
 * @dev An upgradeability mechanism designed for UUPS proxies. The functions included here can perform an upgrade of an
 * {ERC1967Proxy}, when this contract is set as the implementation behind such a proxy.
 *
 * A security mechanism ensures that an upgrade does not turn off upgradeability accidentally, although this risk is
 * reinstated if the upgrade retains upgradeability but removes the security mechanism, e.g. by replacing
 * `UUPSUpgradeable` with a custom implementation of upgrades.
 *
 * The {_authorizeUpgrade} function must be overridden to include access restriction to the upgrade mechanism.
 *
 * _Available since v4.1._
 */
abstract contract UUPSUpgradeable is Initializable, IERC1822ProxiableUpgradeable, ERC1967UpgradeUpgradeable {
    function __UUPSUpgradeable_init() internal onlyInitializing {
    }

    function __UUPSUpgradeable_init_unchained() internal onlyInitializing {
    }
    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable state-variable-assignment
    address private immutable __self = address(this);

    /**
     * @dev Check that the execution is being performed through a delegatecall call and that the execution context is
     * a proxy contract with an implementation (as defined in ERC1967) pointing to self. This should only be the case
     * for UUPS and transparent proxies that are using the current contract as their implementation. Execution of a
     * function through ERC1167 minimal proxies (clones) would not normally pass this test, but is not guaranteed to
     * fail.
     */
    modifier onlyProxy() {
        require(address(this) != __self, "Function must be called through delegatecall");
        require(_getImplementation() == __self, "Function must be called through active proxy");
        _;
    }

    /**
     * @dev Check that the execution is not being performed through a delegate call. This allows a function to be
     * callable on the implementing contract but not through proxies.
     */
    modifier notDelegated() {
        require(address(this) == __self, "UUPSUpgradeable: must not be called through delegatecall");
        _;
    }

    /**
     * @dev Implementation of the ERC1822 {proxiableUUID} function. This returns the storage slot used by the
     * implementation. It is used to validate that the this implementation remains valid after an upgrade.
     *
     * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
     * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
     * function revert if invoked through a proxy. This is guaranteed by the `notDelegated` modifier.
     */
    function proxiableUUID() external view virtual override notDelegated returns (bytes32) {
        return _IMPLEMENTATION_SLOT;
    }

    /**
     * @dev Upgrade the implementation of the proxy to `newImplementation`.
     *
     * Calls {_authorizeUpgrade}.
     *
     * Emits an {Upgraded} event.
     */
    function upgradeTo(address newImplementation) external virtual onlyProxy {
        _authorizeUpgrade(newImplementation);
        _upgradeToAndCallUUPS(newImplementation, new bytes(0), false);
    }

    /**
     * @dev Upgrade the implementation of the proxy to `newImplementation`, and subsequently execute the function call
     * encoded in `data`.
     *
     * Calls {_authorizeUpgrade}.
     *
     * Emits an {Upgraded} event.
     */
    function upgradeToAndCall(address newImplementation, bytes memory data) external payable virtual onlyProxy {
        _authorizeUpgrade(newImplementation);
        _upgradeToAndCallUUPS(newImplementation, data, true);
    }

    /**
     * @dev Function that should revert when `msg.sender` is not authorized to upgrade the contract. Called by
     * {upgradeTo} and {upgradeToAndCall}.
     *
     * Normally, this function will use an xref:access.adoc[access control] modifier such as {Ownable-onlyOwner}.
     *
     * ```solidity
     * function _authorizeUpgrade(address) internal override onlyOwner {}
     * ```
     */
    function _authorizeUpgrade(address newImplementation) internal virtual;

    /**
     * @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;
}

// File: @openzeppelin/contracts-upgradeable/security/ReentrancyGuardUpgradeable.sol


// OpenZeppelin Contracts v4.4.1 (security/ReentrancyGuard.sol)

pragma solidity ^0.8.0;


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

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

    uint256 private _status;

    function __ReentrancyGuard_init() internal onlyInitializing {
        __ReentrancyGuard_init_unchained();
    }

    function __ReentrancyGuard_init_unchained() internal onlyInitializing {
        _status = _NOT_ENTERED;
    }

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

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

        _;

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

    /**
     * @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;
}

// File: @openzeppelin/contracts-upgradeable/utils/ContextUpgradeable.sol


// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;


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

// File: @openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol


// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)

pragma solidity ^0.8.0;



/**
 * @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;
}

// File: contracts/security/MiningOwnableUpgradeable.sol


pragma solidity 0.8.17;



contract MiningOwnableUpgradeable is OwnableUpgradeable {
    address private _appointedOwner;

    event AppointedToTransferOwnership(address indexed appointedOwner);

    modifier onlyAppointedOwner() {
        require(_appointedOwner == _msgSender(), Errors.SENDER_NOT_APPOINTED_OWNER);
        _;
    }

    function transferOwnership(address appointedOwner) public override onlyOwner {
        require(appointedOwner != address(0), Errors.WRONG_ADDRESS);
        _appointedOwner = appointedOwner;
        emit AppointedToTransferOwnership(appointedOwner);
    }

    function confirmTransferOwnership() public onlyAppointedOwner {
        _appointedOwner = address(0);
        _transferOwnership(_msgSender());
    }

    function renounceOwnership() public virtual override onlyOwner {
        _transferOwnership(address(0));
        _appointedOwner = address(0);
    }
}

// File: @openzeppelin/contracts-upgradeable/security/PausableUpgradeable.sol


// OpenZeppelin Contracts (last updated v4.7.0) (security/Pausable.sol)

pragma solidity ^0.8.0;



/**
 * @dev Contract module which allows children to implement an emergency stop
 * mechanism that can be triggered by an authorized account.
 *
 * This module is used through inheritance. It will make available the
 * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
 * the functions of your contract. Note that they will not be pausable by
 * simply including this module, only once the modifiers are put in place.
 */
abstract contract PausableUpgradeable is Initializable, ContextUpgradeable {
    /**
     * @dev Emitted when the pause is triggered by `account`.
     */
    event Paused(address account);

    /**
     * @dev Emitted when the pause is lifted by `account`.
     */
    event Unpaused(address account);

    bool private _paused;

    /**
     * @dev Initializes the contract in unpaused state.
     */
    function __Pausable_init() internal onlyInitializing {
        __Pausable_init_unchained();
    }

    function __Pausable_init_unchained() internal onlyInitializing {
        _paused = false;
    }

    /**
     * @dev Modifier to make a function callable only when the contract is not paused.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    modifier whenNotPaused() {
        _requireNotPaused();
        _;
    }

    /**
     * @dev Modifier to make a function callable only when the contract is paused.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    modifier whenPaused() {
        _requirePaused();
        _;
    }

    /**
     * @dev Returns true if the contract is paused, and false otherwise.
     */
    function paused() public view virtual returns (bool) {
        return _paused;
    }

    /**
     * @dev Throws if the contract is paused.
     */
    function _requireNotPaused() internal view virtual {
        require(!paused(), "Pausable: paused");
    }

    /**
     * @dev Throws if the contract is not paused.
     */
    function _requirePaused() internal view virtual {
        require(paused(), "Pausable: not paused");
    }

    /**
     * @dev Triggers stopped state.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    function _pause() internal virtual whenNotPaused {
        _paused = true;
        emit Paused(_msgSender());
    }

    /**
     * @dev Returns to normal state.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    function _unpause() internal virtual whenPaused {
        _paused = false;
        emit Unpaused(_msgSender());
    }

    /**
     * @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;
}

// File: @openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol


// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20Upgradeable {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

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

    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

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

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

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

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

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

// File: @openzeppelin/contracts-upgradeable/token/ERC20/extensions/IERC20MetadataUpgradeable.sol


// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)

pragma solidity ^0.8.0;


/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20MetadataUpgradeable is IERC20Upgradeable {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

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

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

// File: @openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol


// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC20/ERC20.sol)

pragma solidity ^0.8.0;





/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 * For a generic mechanism see {ERC20PresetMinterPauser}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.zeppelin.solutions/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * We have followed general OpenZeppelin Contracts guidelines: functions revert
 * instead returning `false` on failure. This behavior is nonetheless
 * conventional and does not conflict with the expectations of ERC20
 * applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20Upgradeable is Initializable, ContextUpgradeable, IERC20Upgradeable, IERC20MetadataUpgradeable {
    mapping(address => uint256) private _balances;

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

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

    /**
     * @dev Sets the values for {name} and {symbol}.
     *
     * The default value of {decimals} is 18. To select a different value for
     * {decimals} you should overload it.
     *
     * All two of these values are immutable: they can only be set once during
     * construction.
     */
    function __ERC20_init(string memory name_, string memory symbol_) internal onlyInitializing {
        __ERC20_init_unchained(name_, symbol_);
    }

    function __ERC20_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {
        _name = name_;
        _symbol = symbol_;
    }

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

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

    /**
     * @dev Returns the number of decimals used to get its user representation.
     * For example, if `decimals` equals `2`, a balance of `505` tokens should
     * be displayed to a user as `5.05` (`505 / 10 ** 2`).
     *
     * Tokens usually opt for a value of 18, imitating the relationship between
     * Ether and Wei. This is the value {ERC20} uses, unless this function is
     * overridden;
     *
     * NOTE: This information is only used for _display_ purposes: it in
     * no way affects any of the arithmetic of the contract, including
     * {IERC20-balanceOf} and {IERC20-transfer}.
     */
    function decimals() public view virtual override returns (uint8) {
        return 18;
    }

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

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

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

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

    /**
     * @dev See {IERC20-approve}.
     *
     * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on
     * `transferFrom`. This is semantically equivalent to an infinite approval.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * NOTE: Does not update the allowance if the current allowance
     * is the maximum `uint256`.
     *
     * Requirements:
     *
     * - `from` and `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     * - the caller must have allowance for ``from``'s tokens of at least
     * `amount`.
     */
    function transferFrom(
        address from,
        address to,
        uint256 amount
    ) public virtual override returns (bool) {
        address spender = _msgSender();
        _spendAllowance(from, spender, amount);
        _transfer(from, to, amount);
        return true;
    }

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

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

        return true;
    }

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

        _beforeTokenTransfer(from, to, amount);

        uint256 fromBalance = _balances[from];
        require(fromBalance >= amount, "ERC20: transfer amount exceeds balance");
        unchecked {
            _balances[from] = fromBalance - amount;
        }
        _balances[to] += amount;

        emit Transfer(from, to, amount);

        _afterTokenTransfer(from, to, amount);
    }

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

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

        _totalSupply += amount;
        _balances[account] += amount;
        emit Transfer(address(0), account, amount);

        _afterTokenTransfer(address(0), account, amount);
    }

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

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

        uint256 accountBalance = _balances[account];
        require(accountBalance >= amount, "ERC20: burn amount exceeds balance");
        unchecked {
            _balances[account] = accountBalance - amount;
        }
        _totalSupply -= amount;

        emit Transfer(account, address(0), amount);

        _afterTokenTransfer(account, address(0), amount);
    }

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

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

    /**
     * @dev Updates `owner` s allowance for `spender` based on spent `amount`.
     *
     * Does not update the allowance amount in case of infinite allowance.
     * Revert if not enough allowance is available.
     *
     * Might emit an {Approval} event.
     */
    function _spendAllowance(
        address owner,
        address spender,
        uint256 amount
    ) internal virtual {
        uint256 currentAllowance = allowance(owner, spender);
        if (currentAllowance != type(uint256).max) {
            require(currentAllowance >= amount, "ERC20: insufficient allowance");
            unchecked {
                _approve(owner, spender, currentAllowance - amount);
            }
        }
    }

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

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

    /**
     * @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[45] private __gap;
}

// File: contracts/interfaces/types/LiquidityMiningTypes.sol


pragma solidity 0.8.17;

/// @title Structures used in the LiquidityMining.
library LiquidityMiningTypes {
    /// @title Struct pair representing delegated pwToken balance
    struct DelegatedPwTokenBalance {
        /// @notice lpToken address
        address lpToken;
        /// @notice The amount of Power Token delegated to lpToken staking pool
        /// @dev value represented in 18 decimals
        uint256 pwTokenAmount;
    }

    /// @title Global indicators used in rewards calculation.
    struct GlobalRewardsIndicators {
        /// @notice powerUp indicator aggregated
        /// @dev It can be changed many times during transaction, represended with 18 decimals
        uint256 aggregatedPowerUp;
        /// @notice composite multiplier in a block described in field blockNumber
        /// @dev It can be changed many times during transaction, represented with 27 decimals
        uint128 compositeMultiplierInTheBlock;
        /// @notice Composite multiplier updated in block {blockNumber} but calculated for PREVIOUS (!) block.
        /// @dev It can be changed once per block, represented with 27 decimals
        uint128 compositeMultiplierCumulativePrevBlock;
        /// @dev It can be changed once per block. Block number in which all other params of this structure are updated
        uint32 blockNumber;
        /// @notice value describing amount of rewards issued per block,
        /// @dev It can be changed at most once per block, represented with 8 decimals
        uint32 rewardsPerBlock;
        /// @notice amount of accrued rewards since inception
        /// @dev It can be changed at most once per block, represented with 8 decimals
        uint88 accruedRewards;
    }

    /// @title Params recorded for a given account. These params are used by the algorithm responsible for rewards distribution.
    /// @dev The structure in storage is updated when account interacts with the LiquidityMining smart contract (stake, unstake, delegate, undelegate, claim)
    struct AccountRewardsIndicators {
        /// @notice `composite multiplier cumulative` is calculated for previous block
        /// @dev represented in 27 decimals
        uint128 compositeMultiplierCumulativePrevBlock;
        /// @notice lpToken account's balance
        uint128 lpTokenBalance;
        /// @notive PowerUp is a result of logarithmic equastion,
        /// @dev  powerUp < 100 *10^18
        uint72 powerUp;
        /// @notice balance of Power Tokens delegated to LiquidityMining
        /// @dev delegatedPwTokenBalance < 10^26 < 2^87
        uint96 delegatedPwTokenBalance;
    }
}

// File: contracts/interfaces/ILiquidityMiningInternal.sol


pragma solidity 0.8.17;


/// @title The interface for interaction with the LiquidityMining contract. Contains mainly technical methods or methods used by PowerToken smart contract.
interface ILiquidityMiningInternal {
    /// @notice Returns the current version of the LiquidityMining contract
    /// @return Current LiquidityMining (Liquidity Rewards) version
    function getVersion() external pure returns (uint256);

    /// @notice Gets the Pause Manager's address
    /// @return Pause Manager's address
    function getPauseManager() external view returns (address);

    /// @notice Checks if lpToken is supported by the liquidity mining module.
    /// @param lpToken lpToken address
    /// @return returns true if lpToken is supported by the LiquidityMining, false otherwise
    function isLpTokenSupported(address lpToken) external view returns (bool);

    /// @notice Gets the global indicators for a given lpToken
    /// @param lpToken lpToken address
    /// @return {LiquidityMiningTypes.GlobalRewardsIndicators} structure with global indicators used in the rewards calculation.
    function getGlobalIndicators(address lpToken)
        external
        view
        returns (LiquidityMiningTypes.GlobalRewardsIndicators memory);

    /// @notice Gets the sender's rewards indicators for a given lpToken
    /// @param account account's address 
    /// @param lpToken lpToken address
    /// @return {LiquidityMiningTypes.AccountRewardsIndicators} structure with the sender rewards indicators used in rewards calculation.
    function getAccountIndicators(address account, address lpToken)
        external
        view
        returns (LiquidityMiningTypes.AccountRewardsIndicators memory);

    /// @notice Delegates the Power Tokens of s given account to LiquidityMining smart contract.
    /// @param account account address delegating its Power Tokens to LiquidityMining
    /// @param lpTokens list of lpToken addresses to which Power Tokens are delegated
    /// @param pwTokenAmount list of Power Token amounts for delegated to given lpTokens, represented with 18 decimals
    function delegatePwToken(
        address account,
        address[] calldata lpTokens,
        uint256[] calldata pwTokenAmount
    ) external;

    /// @notice Delegates the Power Tokens an stakes lpTokens in LiquidityMining.
    /// @dev Power Token amounts can equal zero. lpToken amounts can equal zero.
    /// @param account account address delegating its Power Tokens and staking lpTokens in LiquidityMining
    /// @param lpTokens list of the lpToken addresses to which Power Tokens are delegated
    /// @param pwTokenAmounts list of the Power Token amounts delegated , represented with 18 decimals
    /// @param lpTokenAmounts list of the lpToken amounts to be staked in liquidityMining, represented with 18 decimals
    function delegatePwTokenAndStakeLpToken(
        address account,
        address[] calldata lpTokens,
        uint256[] calldata pwTokenAmounts,
        uint256[] calldata lpTokenAmounts
    ) external;

    /// @notice Undelegates the Power Tokens from the LiquidityMining
    /// @dev Power Token amounts can equal zero.
    /// @param account address undelegating Power Tokens
    /// @param lpTokens list of the lpTokens reprenseting staking pools from which to undelegate Power Tokens
    /// @param pwTokenAmounts list of the amounts of Power Tokens to be undelegated, represented with 18 decimals
    function undelegatePwToken(
        address account,
        address[] calldata lpTokens,
        uint256[] calldata pwTokenAmounts
    ) external;

    /// @notice Sets the global configuration indicator - rewardsPerBlock for a given lpToken
    /// @param lpToken address for which to setup `rewards per block`
    /// @param pwTokenAmount amount of the `rewards per block`, denominated in Power Token, represented with 8 decimals
    function setRewardsPerBlock(address lpToken, uint32 pwTokenAmount) external;

    /// @notice Adds LiquidityMining's support for a new lpToken
    /// @dev Can only be executed by the Owner
    /// @param lpToken address of the lpToken
    function addLpToken(address lpToken) external;

    /// @notice Removes lpToken from the list of tokens supported by the LiquidityMining contract
    /// @dev Can be executed only by the Owner. Note! That when lpToken is removed, the rewards cannot be claimed. To restore claiming, run function {addLpToken()} and {setRewardsPerBlock()}
    /// @param lpToken address of the lpToken 
    function removeLpToken(address lpToken) external;

    /// @notice Sets the new Pause Manager address
    /// @param newPauseManagerAddr - new address of Pause Manager
    function setPauseManager(address newPauseManagerAddr) external;

    /// @notice Pauses current smart contract, it can only be executed by the Owner
    /// @dev Emits {Paused} event.
    function pause() external;

    /// @notice Unpauses current smart contract, it can only be executed by the Owner
    /// @dev Emits {Unpaused}.
    function unpause() external;

    /// @notice Emitted when the account unstakes lpTokens
    /// @param account account unstaking tokens
    /// @param lpToken address of lpToken being unstaked
    /// @param lpTokenAmount of lpTokens to unstake, represented with 18 decimals
    event LpTokensUnstaked(address account, address lpToken, uint256 lpTokenAmount);

    /// @notice Emitted when the LiquidityMining's Owner changes the `rewards per block`
    /// @param changedBy address of account executing changes
    /// @param oldPwTokenAmount old value of `rewards per block`, denominated in Power Token, represented in 8 decimals
    /// @param newPwTokenAmount new value of `rewards per block`, denominated in Power Token, represented in 8 decimals
    event RewardsPerBlockChanged(
        address indexed changedBy,
        uint256 oldPwTokenAmount,
        uint256 newPwTokenAmount
    );

    /// @notice Emitted when the LiquidityMining's Owner adds support for lpToken
    /// @param account address of LiquidityMining's Owner
    /// @param lpToken address of newly supported lpToken
    event LpTokenAdded(address account, address lpToken);

    /// @notice Emitted when the LiquidityMining's Owner removes ssupport for lpToken
    /// @param account address of LiquidityMining's Owner
    /// @param lpToken address of dropped lpToken
    event LpTokenRemoved(address account, address lpToken);

    /// @notice Emitted when the account delegates Power Tokens to the LiquidityMining
    /// @param account performing delegation
    /// @param lpToken address of lpToken to which Power Token are delegated
    /// @param pwTokenAmount amount of Power Tokens delegated, represented with 18 decimals
    event PwTokenDelegated(address account, address lpToken, uint256 pwTokenAmount);

    /// @notice Emitted when the account delegates Power Tokens and stakes lpTokens to the LiquidityMining
    /// @param account account delegating Power Tokens and staking lpTokens
    /// @param lpToken address of lpToken staked
    /// @param pwTokenAmount of Power Token delegated, represented with 18 decimals
    /// @param lpTokenAmount of lpTokens to stake, represented with 18 decimals
    event PwTokenDelegatedAndLpTokenStaked(
        address account,
        address lpToken,
        uint256 pwTokenAmount,
        uint256 lpTokenAmount
    );

    /// @notice Emitted when the account undelegates Power Tokens from the LiquidityMining
    /// @param account undelegating
    /// @param lpToken address of lpToken
    /// @param pwTokenAmount amount of Power Token undelegated, represented with 18 decimals
    event PwTokenUndelegated(address account, address lpToken, uint256 pwTokenAmount);

    /// @notice Emitted when the PauseManager's address is changed by its owner.
    /// @param changedBy account address that has changed LiquidityMining's address
    /// @param oldPauseManager PauseManager's old address
    /// @param newPauseManager PauseManager's new address
    event PauseManagerChanged(
        address indexed changedBy,
        address indexed oldPauseManager,
        address indexed newPauseManager
    );
}

// File: contracts/interfaces/ILiquidityMining.sol


pragma solidity 0.8.17;


/// @title The interface for interaction with the LiquidityMining.
/// LiquidityMining is responsible for the distribution of the Power Token rewards to accounts
/// staking lpTokens and / or delegating Power Tokens to LiquidityMining. LpTokens can be staked directly to the LiquidityMining,
/// Power Tokens are a staked version of the [Staked] Tokens minted by the PowerToken smart contract.
interface ILiquidityMining {
    /// @notice Contract ID. The keccak-256 hash of "io.ipor.LiquidityMining" decreased by 1
    /// @return Returns an ID of the contract
    function getContractId() external pure returns (bytes32);

    /// @notice Returns the balance of staked lpTokens
    /// @param account the account's address
    /// @param lpToken the address of lpToken
    /// @return balance of the lpTokens staked by the sender
    function balanceOf(address account, address lpToken) external view returns (uint256);

    /// @notice It returns the balance of delegated Power Tokens for a given `account` and the list of lpToken addresses.
    /// @param account address for which to fetch the information about balance of delegated Power Tokens
    /// @param lpTokens list of lpTokens addresses(lpTokens)
    /// @return balances list of {LiquidityMiningTypes.DelegatedPwTokenBalance} structure, with information how much Power Token is delegated per lpToken address.
    function balanceOfDelegatedPwToken(address account, address[] memory lpTokens)
        external
        view
        returns (LiquidityMiningTypes.DelegatedPwTokenBalance[] memory balances);

    /// @notice Gets the account's allocated rewards
    /// @param account The address for which to fetch information about balance of allocated Power Tokens
    /// @return allocatedPwTokens - The amount of the allocated rewards.
    function balanceOfAllocatedPwTokens(address account)
        external
        view
        returns (uint256 allocatedPwTokens);

    /// @notice Calculates the accrued rewards since the last rebalancing.
    /// @param lpToken the lpToken address
    /// @return rewards accrued since the last rebalancing, represented with 18 decimals.
    function calculateAccruedRewards(address lpToken) external view returns (uint256);

    /// @notice Calculates account's rewards based on the current state of the sender and global indicators.
    /// @dev Calculation does not consider rewards accrued for the current block
    /// @param account address for which the rewards are calculated
    /// @param lpToken address for which the rewards are calculated
    /// @return Sender's rewards, represented with 18 decimals.
    function calculateAccountRewards(address account, address lpToken)
        external
        view
        returns (uint256);

    /// @notice Stakes the lpToken amount into the LiquidityMining.
    /// @param lpToken address of the lpToken
    /// @param lpTokenAmount lpToken amount being staked, represented with 18 decimals
    function stake(address lpToken, uint256 lpTokenAmount) external;

    /// @notice Unstakes the lpToken amount from the LiquidityMining.
    /// @param lpToken address of the underlying asset
    /// @param lpTokenAmount lpToken amount being unstaked, represented with 18 decimals
    function unstake(address lpToken, uint256 lpTokenAmount) external;

    /// @notice Unstakes the lpToken amount from LiquidityMining and allocates the rewards into storage.
    /// This function can be used in the situation, when the are not enough rewards to cover claim and where
    /// regular unstake of lpTokens would not be possible.
    /// @param lpToken address of the underlying asset
    /// @param lpTokenAmount lpToken amount being unstaked, represented with 18 decimals
    function unstakeAndAllocatePwTokens(address lpToken, uint256 lpTokenAmount) external;

    /// @notice method allowing to claim the rewards per asset (lpToken)
    /// @param lpToken of the staking pool from which to claim the rewards
    function claim(address lpToken) external;

    /// @notice method allowed to claim the allocated rewards
    function claimAllocatedPwTokens() external;

    /// @notice method allowing to update the indicators per asset (lpToken).
    /// @param account of which we should update the indicators
    /// @param lpTokens of the staking pools to update the indicators
    function updateIndicators(address account, address[] calldata lpTokens) external;

    /// @notice Emitted when the account stakes the lpTokens
    /// @param account Account's address in the context of which the activities of staking of lpTokens are performed
    /// @param lpToken address of lpToken being staked
    /// @param lpTokenAmount of lpTokens to stake, represented with 18 decimals
    event LpTokensStaked(address account, address lpToken, uint256 lpTokenAmount);

    /// @notice Emitted when the account claims the rewards
    /// @param account Account's address in the context of which activities of claiming are performed
    /// @param lpToken The address of the lpToken
    /// @param rewardsAmount Reward amount denominated in pwToken, represented with 18 decimals
    event Claimed(address account, address lpToken, uint256 rewardsAmount);

    /// @notice Emitted when the account claims the allocated rewards
    /// @param account Account address in the context of which activities of claiming are performed
    /// @param allocatedRewards Reward amount denominated in pwToken, represented in 18 decimals
    event AllocatedTokensClaimed(address account, uint256 allocatedRewards);

    /// @notice Emitted when update was triggered for the account on the lpToken
    /// @param account Account address to which the update was triggered
    /// @param lpToken lpToken address to which the update was triggered
    event IndicatorsUpdated(address account, address lpToken);
}

// File: contracts/mining/LiquidityMiningInternal.sol


pragma solidity 0.8.17;
















abstract contract LiquidityMiningInternal is
    Initializable,
    PausableUpgradeable,
    UUPSUpgradeable,
    MiningOwnableUpgradeable,
    ReentrancyGuardUpgradeable,
    ILiquidityMiningInternal
{
    using SafeCast for uint256;
    using SafeCast for int256;

    bytes32 internal constant _STAKED_TOKEN_ID =
        0xdba05ed67d0251facfcab8345f27ccd3e72b5a1da8cebfabbcccf4316e6d053c;
    bytes32 internal constant _POWER_TOKEN_ID =
        0xbd22bf01cb7daed462db61de31bb111aabcdae27adc748450fb9a9ea1c419cce;

    address internal _powerToken;
    address internal _pauseManager;

    mapping(address => bool) internal _lpTokens;
    mapping(address => uint256) internal _allocatedPwTokens;

    mapping(address => LiquidityMiningTypes.GlobalRewardsIndicators) internal _globalIndicators;
    //  account address => lpToken address => account params
    mapping(address => mapping(address => LiquidityMiningTypes.AccountRewardsIndicators))
        internal _accountIndicators;

    modifier onlyPowerToken() {
        require(_msgSender() == _getPowerToken(), Errors.CALLER_NOT_POWER_TOKEN);
        _;
    }

    modifier onlyPauseManager() {
        require(_msgSender() == _pauseManager, Errors.CALLER_NOT_PAUSE_MANAGER);
        _;
    }

    /// @custom:oz-upgrades-unsafe-allow constructor
    constructor() {
        _disableInitializers();
    }

    function initialize(
        address[] calldata lpTokens,
        address powerToken,
        address stakedToken
    ) public initializer {
        __Pausable_init_unchained();
        __Ownable_init_unchained();
        __UUPSUpgradeable_init_unchained();

        require(powerToken != address(0), Errors.WRONG_ADDRESS);
        require(
            IPowerToken(powerToken).getContractId() == _POWER_TOKEN_ID,
            Errors.WRONG_CONTRACT_ID
        );
        require(stakedToken != address(0), Errors.WRONG_ADDRESS);
        require(
            IStakedToken(stakedToken).getContractId() == _STAKED_TOKEN_ID,
            Errors.WRONG_CONTRACT_ID
        );

        uint256 lpTokensLength = lpTokens.length;

        _powerToken = powerToken;
        _pauseManager = _msgSender();

        IStakedToken(stakedToken).approve(powerToken, Constants.MAX_VALUE);

        for (uint256 i; i != lpTokensLength; ++i) {
            require(lpTokens[i] != address(0), Errors.WRONG_ADDRESS);

            _lpTokens[lpTokens[i]] = true;

            _globalIndicators[lpTokens[i]] = LiquidityMiningTypes.GlobalRewardsIndicators(
                0,
                0,
                0,
                0,
                0,
                0
            );
        }
    }

    function getVersion() external pure override returns (uint256) {
        return 3;
    }

    function getPauseManager() external view override returns (address) {
        return _pauseManager;
    }

    function isLpTokenSupported(address lpToken) external view override returns (bool) {
        return _lpTokens[lpToken];
    }

    function getGlobalIndicators(address lpToken)
        external
        view
        override
        returns (LiquidityMiningTypes.GlobalRewardsIndicators memory)
    {
        return _globalIndicators[lpToken];
    }

    function getAccountIndicators(address account, address lpToken)
        external
        view
        override
        returns (LiquidityMiningTypes.AccountRewardsIndicators memory)
    {
        return _accountIndicators[account][lpToken];
    }

    function delegatePwToken(
        address account,
        address[] calldata lpTokens,
        uint256[] calldata pwTokenAmounts
    ) external override onlyPowerToken whenNotPaused {
        uint256 rewards;
        uint256 lpTokensLength = lpTokens.length;
        uint256 rewardsIteration;
        uint256 accruedCompMultiplierCumulativePrevBlock;
        LiquidityMiningTypes.AccountRewardsIndicators memory accountIndicators;
        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators;

        for (uint256 i; i != lpTokensLength; ++i) {
            require(_lpTokens[lpTokens[i]], Errors.LP_TOKEN_NOT_SUPPORTED);

            accountIndicators = _accountIndicators[account][lpTokens[i]];
            globalIndicators = _globalIndicators[lpTokens[i]];

            /// @dev when account not stake any IP Token then calculation rewards and rebalancing is redundant
            if (accountIndicators.lpTokenBalance == 0) {
                uint256 newBalance = accountIndicators.delegatedPwTokenBalance + pwTokenAmounts[i];
                _accountIndicators[account][lpTokens[i]].delegatedPwTokenBalance = newBalance
                    .toUint96();
                emit PwTokenDelegated(account, lpTokens[i], pwTokenAmounts[i]);
                continue;
            }

            (rewardsIteration, accruedCompMultiplierCumulativePrevBlock) = _calculateAccountRewards(
                globalIndicators,
                accountIndicators
            );

            rewards += rewardsIteration;

            _rebalanceIndicators(
                account,
                lpTokens[i],
                accruedCompMultiplierCumulativePrevBlock,
                globalIndicators,
                accountIndicators,
                accountIndicators.lpTokenBalance,
                accountIndicators.delegatedPwTokenBalance + pwTokenAmounts[i]
            );
            emit PwTokenDelegated(account, lpTokens[i], pwTokenAmounts[i]);
        }

        if (rewards > 0) {
            _transferRewardsToPowerToken(account, rewards);
        }
    }

    function delegatePwTokenAndStakeLpToken(
        address account,
        address[] calldata lpTokens,
        uint256[] calldata pwTokenAmounts,
        uint256[] calldata lpTokenAmounts
    ) external override onlyPowerToken whenNotPaused {
        uint256 rewards;
        uint256 lpTokenAmount;
        uint256 pwTokenAmount;

        for (uint256 i; i != lpTokens.length; ++i) {
            require(_lpTokens[lpTokens[i]], Errors.LP_TOKEN_NOT_SUPPORTED);
            lpTokenAmount = lpTokenAmounts[i];
            pwTokenAmount = pwTokenAmounts[i];

            LiquidityMiningTypes.AccountRewardsIndicators
                memory accountIndicators = _accountIndicators[account][lpTokens[i]];
            LiquidityMiningTypes.GlobalRewardsIndicators
                memory globalIndicators = _globalIndicators[lpTokens[i]];

            /// @dev Order is important! First Stake, then Delegate.
            /// @dev Stake
            if (lpTokenAmount > 0) {
                IERC20Upgradeable(lpTokens[i]).transferFrom(account, address(this), lpTokenAmount);
            }

            /// @dev Delegate
            if (accountIndicators.lpTokenBalance == 0 && lpTokenAmount == 0) {
                _accountIndicators[account][lpTokens[i]]
                    .delegatedPwTokenBalance = (accountIndicators.delegatedPwTokenBalance +
                    pwTokenAmount).toUint96();
                emit PwTokenDelegated(account, lpTokens[i], pwTokenAmount);
                continue;
            }

            (
                uint256 rewardsIteration,
                uint256 accruedCompMultiplierCumulativePrevBlock
            ) = _calculateAccountRewards(globalIndicators, accountIndicators);

            rewards += rewardsIteration;

            _rebalanceIndicators(
                account,
                lpTokens[i],
                accruedCompMultiplierCumulativePrevBlock,
                globalIndicators,
                accountIndicators,
                accountIndicators.lpTokenBalance + lpTokenAmount,
                accountIndicators.delegatedPwTokenBalance + pwTokenAmount
            );
            emit PwTokenDelegatedAndLpTokenStaked(
                account,
                lpTokens[i],
                pwTokenAmount,
                lpTokenAmount
            );
        }

        if (rewards > 0) {
            _transferRewardsToPowerToken(account, rewards);
        }
    }

    function undelegatePwToken(
        address account,
        address[] calldata lpTokens,
        uint256[] calldata pwTokenAmounts
    ) external onlyPowerToken whenNotPaused {
        uint256 rewards;
        uint256 lpTokensLength = lpTokens.length;
        uint256 rewardsIteration;
        uint256 accruedCompMultiplierCumulativePrevBlock;
        LiquidityMiningTypes.AccountRewardsIndicators memory accountIndicators;
        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators;

        for (uint256 i; i != lpTokensLength; ++i) {
            require(_lpTokens[lpTokens[i]], Errors.LP_TOKEN_NOT_SUPPORTED);

            accountIndicators = _accountIndicators[account][lpTokens[i]];

            require(
                accountIndicators.delegatedPwTokenBalance >= pwTokenAmounts[i],
                Errors.ACC_DELEGATED_TO_LIQUIDITY_MINING_BALANCE_IS_TOO_LOW
            );

            globalIndicators = _globalIndicators[lpTokens[i]];

            (rewardsIteration, accruedCompMultiplierCumulativePrevBlock) = _calculateAccountRewards(
                globalIndicators,
                accountIndicators
            );

            rewards += rewardsIteration;

            _rebalanceIndicators(
                account,
                lpTokens[i],
                accruedCompMultiplierCumulativePrevBlock,
                globalIndicators,
                accountIndicators,
                accountIndicators.lpTokenBalance,
                accountIndicators.delegatedPwTokenBalance - pwTokenAmounts[i]
            );

            emit PwTokenUndelegated(account, lpTokens[i], pwTokenAmounts[i]);
        }

        if (rewards > 0) {
            _transferRewardsToPowerToken(account, rewards);
        }
    }

    function setRewardsPerBlock(address lpToken, uint32 pwTokenAmount) external override onlyOwner {
        _setRewardsPerBlock(lpToken, pwTokenAmount);
    }

    function addLpToken(address lpToken) external onlyOwner {
        require(lpToken != address(0), Errors.WRONG_ADDRESS);
        _lpTokens[lpToken] = true;

        emit LpTokenAdded(_msgSender(), lpToken);
    }

    function removeLpToken(address lpToken) external override onlyOwner {
        require(lpToken != address(0), Errors.WRONG_ADDRESS);
        _setRewardsPerBlock(lpToken, 0);
        _lpTokens[lpToken] = false;
        emit LpTokenRemoved(_msgSender(), lpToken);
    }

    function setPauseManager(address newPauseManagerAddr) external override onlyOwner {
        require(newPauseManagerAddr != address(0), Errors.WRONG_ADDRESS);
        address oldPauseManagerAddr = _pauseManager;
        _pauseManager = newPauseManagerAddr;
        emit PauseManagerChanged(_msgSender(), oldPauseManagerAddr, newPauseManagerAddr);
    }

    function pause() external override onlyPauseManager {
        _pause();
    }

    function unpause() external override onlyPauseManager {
        _unpause();
    }

    function _unstake(
        address lpToken,
        uint256 lpTokenAmount,
        bool claimRewards
    ) internal {
        require(lpTokenAmount > 0, Errors.VALUE_NOT_GREATER_THAN_ZERO);

        address msgSender = _msgSender();

        LiquidityMiningTypes.AccountRewardsIndicators memory accountIndicators = _accountIndicators[
            msgSender
        ][lpToken];

        require(
            accountIndicators.lpTokenBalance >= lpTokenAmount,
            Errors.ACCOUNT_LP_TOKEN_BALANCE_IS_TOO_LOW
        );

        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators = _globalIndicators[
            lpToken
        ];

        (
            uint256 rewardsAmount,
            uint256 accruedCompMultiplierCumulativePrevBlock
        ) = _calculateAccountRewards(globalIndicators, accountIndicators);

        _rebalanceIndicators(
            msgSender,
            lpToken,
            accruedCompMultiplierCumulativePrevBlock,
            globalIndicators,
            accountIndicators,
            accountIndicators.lpTokenBalance - lpTokenAmount,
            accountIndicators.delegatedPwTokenBalance
        );

        if (rewardsAmount > 0) {
            if (claimRewards) {
                _transferRewardsToPowerToken(msgSender, rewardsAmount);
            } else {
                _allocatedPwTokens[msgSender] += rewardsAmount;
            }
        }

        IERC20Upgradeable(lpToken).transfer(msgSender, lpTokenAmount);

        emit LpTokensUnstaked(msgSender, lpToken, lpTokenAmount);
    }

    /// @dev Rebalance makes that rewards for account are reset in current block.
    function _rebalanceIndicators(
        address account,
        address lpToken,
        uint256 accruedCompMultiplierCumulativePrevBlock,
        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators,
        LiquidityMiningTypes.AccountRewardsIndicators memory accountIndicators,
        uint256 lpTokenBalance,
        uint256 delegatedPwTokenBalance
    ) internal {
        uint256 accountPowerUp = MiningCalculation.calculateAccountPowerUp(
            delegatedPwTokenBalance,
            lpTokenBalance,
            _getVerticalShift(),
            _getHorizontalShift()
        );

        _accountIndicators[account][lpToken] = LiquidityMiningTypes.AccountRewardsIndicators(
            accruedCompMultiplierCumulativePrevBlock.toUint128(),
            lpTokenBalance.toUint128(),
            accountPowerUp.toUint72(),
            delegatedPwTokenBalance.toUint96()
        );

        uint256 aggregatedPowerUp = MiningCalculation.calculateAggregatedPowerUp(
            accountPowerUp,
            lpTokenBalance,
            accountIndicators.powerUp,
            accountIndicators.lpTokenBalance,
            globalIndicators.aggregatedPowerUp
        );

        uint256 accruedRewards;

        /// @dev check if we should update rewards, it should happened when at least one account stakes lpTokens
        if (globalIndicators.aggregatedPowerUp == 0) {
            accruedRewards = globalIndicators.accruedRewards;
        } else {
            accruedRewards = MiningCalculation.calculateAccruedRewards(
                block.number,
                globalIndicators.blockNumber,
                globalIndicators.rewardsPerBlock,
                globalIndicators.accruedRewards
            );
        }

        uint256 compositeMultiplier = MiningCalculation.calculateCompositeMultiplier(
            globalIndicators.rewardsPerBlock,
            aggregatedPowerUp
        );

        _globalIndicators[lpToken] = LiquidityMiningTypes.GlobalRewardsIndicators(
            aggregatedPowerUp,
            compositeMultiplier.toUint128(),
            accruedCompMultiplierCumulativePrevBlock.toUint128(),
            block.number.toUint32(),
            globalIndicators.rewardsPerBlock,
            accruedRewards.toUint88()
        );
    }

    function _calculateAccountRewards(
        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators,
        LiquidityMiningTypes.AccountRewardsIndicators memory accountIndicators
    )
        internal
        view
        returns (uint256 rewardsAmount, uint256 accruedCompMultiplierCumulativePrevBlock)
    {
        accruedCompMultiplierCumulativePrevBlock = MiningCalculation
            .calculateAccruedCompMultiplierCumulativePrevBlock(
                block.number,
                globalIndicators.blockNumber,
                globalIndicators.compositeMultiplierInTheBlock,
                globalIndicators.compositeMultiplierCumulativePrevBlock
            );

        rewardsAmount = MiningCalculation.calculateAccountRewards(
            accountIndicators.lpTokenBalance,
            accountIndicators.powerUp,
            accountIndicators.compositeMultiplierCumulativePrevBlock,
            accruedCompMultiplierCumulativePrevBlock
        );
    }

    function _setRewardsPerBlock(address lpToken, uint32 pwTokenAmount) internal {
        require(_lpTokens[lpToken], Errors.LP_TOKEN_NOT_SUPPORTED);

        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators = _globalIndicators[
            lpToken
        ];
        uint256 blockNumber = block.number;

        uint256 accruedCompositeMultiplierCumulativePrevBlock = MiningCalculation
            .calculateAccruedCompMultiplierCumulativePrevBlock(
                blockNumber,
                globalIndicators.blockNumber,
                globalIndicators.compositeMultiplierInTheBlock,
                globalIndicators.compositeMultiplierCumulativePrevBlock
            );

        uint256 accruedRewards;
        if (globalIndicators.aggregatedPowerUp != 0) {
            accruedRewards = MiningCalculation.calculateAccruedRewards(
                blockNumber.toUint32(),
                globalIndicators.blockNumber,
                globalIndicators.rewardsPerBlock,
                globalIndicators.accruedRewards
            );
        } else {
            accruedRewards = globalIndicators.accruedRewards;
        }

        uint256 compositeMultiplier = MiningCalculation.calculateCompositeMultiplier(
            pwTokenAmount,
            globalIndicators.aggregatedPowerUp
        );

        _globalIndicators[lpToken] = LiquidityMiningTypes.GlobalRewardsIndicators(
            globalIndicators.aggregatedPowerUp,
            compositeMultiplier.toUint128(),
            accruedCompositeMultiplierCumulativePrevBlock.toUint128(),
            blockNumber.toUint32(),
            pwTokenAmount,
            accruedRewards.toUint88()
        );

        emit RewardsPerBlockChanged(_msgSender(), globalIndicators.rewardsPerBlock, pwTokenAmount);
    }

    /// @dev Claim not changes Internal Exchange Rate of Power Tokens in PowerToken smart contract.
    function _transferRewardsToPowerToken(address account, uint256 rewardsAmount) internal {
        IPowerTokenInternal(_getPowerToken()).receiveRewardsFromLiquidityMining(
            account,
            rewardsAmount
        );
    }

    /// @notice Gets Horizontal shift param used in Liquidity Mining equations.
    /// @dev To pre-calculate this value from uint256, use {MiningCalculation._toQuadruplePrecision()} method.
    /// @dev 0.5 = ABDKMathQuad.div(ABDKMathQuad.fromUInt(5), ABDKMathQuad.fromUInt(10))
    /// @dev Notice! uint256 value before calculation has the following constraints: 0.5 <= Horizontal Shift <= 10^3
    /// @return horizontal shift - value represented in bytes16, quadruple precision, 128 bits, it takes into consideration 18 decimals
    function _getHorizontalShift() internal pure virtual returns (bytes16) {
        return 0x3ffe0000000000000000000000000000;
    }

    /// @notice Gets vertical shift param used in Liquidity Mining equations.
    /// @dev To pre-calculate this value from uint256, use {MiningCalculation._toQuadruplePrecision()} method.
    /// @dev 1.4 = ABDKMathQuad.div(ABDKMathQuad.fromUInt(14), ABDKMathQuad.fromUInt(10))
    /// @dev Notice! uint256 value before calculation has the following constraints: 10^(-4) <= Vertical Shift <= 3
    /// @return vertical shift - value represented in bytes16, quadruple precision, 128 bits, it takes into consideration 18 decimals
    function _getVerticalShift() internal pure virtual returns (bytes16) {
        return 0x3fff6666666666666666666666666666;
    }

    function _getPowerToken() internal view returns (address) {
        return _powerToken;
    }

    //solhint-disable no-empty-blocks
    function _authorizeUpgrade(address) internal override onlyOwner {}
}

// File: contracts/mining/LiquidityMining.sol


pragma solidity 0.8.17;



/// @title Smart contract responsible for distribution of Power Token rewards across accounts contributing to Liquidity Mining
/// by staking lpTokens and / or delegating Power Tokens.
contract LiquidityMining is LiquidityMiningInternal, ILiquidityMining {
    using SafeCast for uint256;
    using SafeCast for int256;

    function getContractId() external pure returns (bytes32) {
        return 0x9b1f3aa590476fc9aa58d44ad1419ab53d34c344bd5ed46b12e4af7d27c38e06;
    }

    function balanceOf(address account, address lpToken) external view override returns (uint256) {
        return _accountIndicators[account][lpToken].lpTokenBalance;
    }

    function balanceOfDelegatedPwToken(address account, address[] calldata lpTokens)
        external
        view
        override
        returns (LiquidityMiningTypes.DelegatedPwTokenBalance[] memory balances)
    {
        uint256 lpTokensLength = lpTokens.length;
        balances = new LiquidityMiningTypes.DelegatedPwTokenBalance[](lpTokensLength);
        address lpToken;

        for (uint256 i; i != lpTokensLength; ++i) {
            lpToken = lpTokens[i];
            require(_lpTokens[lpToken], Errors.LP_TOKEN_NOT_SUPPORTED);
            balances[i] = LiquidityMiningTypes.DelegatedPwTokenBalance(
                lpToken,
                _accountIndicators[account][lpToken].delegatedPwTokenBalance
            );
        }
    }

    function balanceOfAllocatedPwTokens(address account)
        external
        view
        returns (uint256 allocatedPwTokens)
    {
        allocatedPwTokens = _allocatedPwTokens[account];
    }

    function calculateAccruedRewards(address lpToken) external view override returns (uint256) {
        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators = _globalIndicators[
            lpToken
        ];
        if (globalIndicators.aggregatedPowerUp == 0) {
            return globalIndicators.accruedRewards;
        }
        return
            MiningCalculation.calculateAccruedRewards(
                block.number,
                globalIndicators.blockNumber,
                globalIndicators.rewardsPerBlock,
                globalIndicators.accruedRewards
            );
    }

    function calculateAccountRewards(address account, address lpToken)
        external
        view
        override
        returns (uint256)
    {
        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators = _globalIndicators[
            lpToken
        ];
        LiquidityMiningTypes.AccountRewardsIndicators memory accountIndicators = _accountIndicators[
            account
        ][lpToken];

        (uint256 rewardsAmount, ) = _calculateAccountRewards(globalIndicators, accountIndicators);

        return rewardsAmount;
    }

    function updateIndicators(address account, address[] calldata lpTokens) external override nonReentrant whenNotPaused{
        require(account != address(0), Errors.WRONG_ADDRESS);
        uint256 lpTokensLength = lpTokens.length;
        uint256 rewardsAmountToTransfer;
        for (uint256 i; i != lpTokensLength; ++i) {
            address lpToken = lpTokens[i];
            LiquidityMiningTypes.AccountRewardsIndicators
                memory accountIndicators = _accountIndicators[account][lpToken];
            LiquidityMiningTypes.GlobalRewardsIndicators
                memory globalIndicators = _globalIndicators[lpToken];

            if (accountIndicators.lpTokenBalance == 0) {
                continue;
            }

            (
                uint256 rewardsAmount,
                uint256 accruedCompMultiplierCumulativePrevBlock
            ) = _calculateAccountRewards(globalIndicators, accountIndicators);
            rewardsAmountToTransfer += rewardsAmount;
            _rebalanceIndicators(
                account,
                lpToken,
                accruedCompMultiplierCumulativePrevBlock,
                globalIndicators,
                accountIndicators,
                accountIndicators.lpTokenBalance,
                accountIndicators.delegatedPwTokenBalance
            );
            emit IndicatorsUpdated(account, lpToken);
        }
        if (rewardsAmountToTransfer > 0) {
            _transferRewardsToPowerToken(account, rewardsAmountToTransfer);
        }
    }

    function stake(address lpToken, uint256 lpTokenAmount)
        external
        override
        nonReentrant
        whenNotPaused
    {
        require(lpTokenAmount > 0, Errors.VALUE_NOT_GREATER_THAN_ZERO);
        require(_lpTokens[lpToken], Errors.LP_TOKEN_NOT_SUPPORTED);

        address msgSender = _msgSender();

        IERC20Upgradeable(lpToken).transferFrom(msgSender, address(this), lpTokenAmount);

        LiquidityMiningTypes.AccountRewardsIndicators memory accountIndicators = _accountIndicators[
            msgSender
        ][lpToken];
        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators = _globalIndicators[
            lpToken
        ];

        (
            uint256 rewardsAmount,
            uint256 accruedCompMultiplierCumulativePrevBlock
        ) = _calculateAccountRewards(globalIndicators, accountIndicators);

        _rebalanceIndicators(
            msgSender,
            lpToken,
            accruedCompMultiplierCumulativePrevBlock,
            globalIndicators,
            accountIndicators,
            accountIndicators.lpTokenBalance + lpTokenAmount,
            accountIndicators.delegatedPwTokenBalance
        );

        if (rewardsAmount > 0) {
            _transferRewardsToPowerToken(msgSender, rewardsAmount);
        }

        emit LpTokensStaked(msgSender, lpToken, lpTokenAmount);
    }

    function unstake(address lpToken, uint256 lpTokenAmount)
        external
        override
        nonReentrant
        whenNotPaused
    {
        _unstake(lpToken, lpTokenAmount, true);
    }

    function unstakeAndAllocatePwTokens(address lpToken, uint256 lpTokenAmount)
        external
        override
        nonReentrant
        whenNotPaused
    {
        _unstake(lpToken, lpTokenAmount, false);
    }

    function claim(address lpToken) external override whenNotPaused nonReentrant {
        address msgSender = _msgSender();

        LiquidityMiningTypes.AccountRewardsIndicators memory accountIndicators = _accountIndicators[
            msgSender
        ][lpToken];
        LiquidityMiningTypes.GlobalRewardsIndicators memory globalIndicators = _globalIndicators[
            lpToken
        ];

        (
            uint256 rewardsAmount,
            uint256 accruedCompMultiplierCumulativePrevBlock
        ) = _calculateAccountRewards(globalIndicators, accountIndicators);

        require(rewardsAmount > 0, Errors.NO_REWARDS_TO_CLAIM);

        _accountIndicators[msgSender][lpToken] = LiquidityMiningTypes.AccountRewardsIndicators(
            accruedCompMultiplierCumulativePrevBlock.toUint128(),
            accountIndicators.lpTokenBalance,
            accountIndicators.powerUp,
            accountIndicators.delegatedPwTokenBalance
        );

        _transferRewardsToPowerToken(msgSender, rewardsAmount);

        emit Claimed(msgSender, lpToken, rewardsAmount);
    }

    function claimAllocatedPwTokens() external override whenNotPaused nonReentrant {
        address msgSender = _msgSender();
        uint256 allocatedRewards = _allocatedPwTokens[msgSender];
        require(allocatedRewards > 0, Errors.NO_REWARDS_TO_CLAIM);
        _allocatedPwTokens[msgSender] = 0;
        _transferRewardsToPowerToken(msgSender, allocatedRewards);
        emit AllocatedTokensClaimed(msgSender, allocatedRewards);
    }
}

Contract Security Audit

No Contract Security Audit Submitted- Submit Audit Here

Contract ABI

[{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"previousAdmin","type":"address"},{"indexed":false,"internalType":"address","name":"newAdmin","type":"address"}],"name":"AdminChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"uint256","name":"allocatedRewards","type":"uint256"}],"name":"AllocatedTokensClaimed","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"appointedOwner","type":"address"}],"name":"AppointedToTransferOwnership","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"beacon","type":"address"}],"name":"BeaconUpgraded","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"address","name":"lpToken","type":"address"},{"indexed":false,"internalType":"uint256","name":"rewardsAmount","type":"uint256"}],"name":"Claimed","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"address","name":"lpToken","type":"address"}],"name":"IndicatorsUpdated","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint8","name":"version","type":"uint8"}],"name":"Initialized","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"address","name":"lpToken","type":"address"}],"name":"LpTokenAdded","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"address","name":"lpToken","type":"address"}],"name":"LpTokenRemoved","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"address","name":"lpToken","type":"address"},{"indexed":false,"internalType":"uint256","name":"lpTokenAmount","type":"uint256"}],"name":"LpTokensStaked","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"address","name":"lpToken","type":"address"},{"indexed":false,"internalType":"uint256","name":"lpTokenAmount","type":"uint256"}],"name":"LpTokensUnstaked","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"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"changedBy","type":"address"},{"indexed":true,"internalType":"address","name":"oldPauseManager","type":"address"},{"indexed":true,"internalType":"address","name":"newPauseManager","type":"address"}],"name":"PauseManagerChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"}],"name":"Paused","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"address","name":"lpToken","type":"address"},{"indexed":false,"internalType":"uint256","name":"pwTokenAmount","type":"uint256"}],"name":"PwTokenDelegated","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"address","name":"lpToken","type":"address"},{"indexed":false,"internalType":"uint256","name":"pwTokenAmount","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"lpTokenAmount","type":"uint256"}],"name":"PwTokenDelegatedAndLpTokenStaked","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"},{"indexed":false,"internalType":"address","name":"lpToken","type":"address"},{"indexed":false,"internalType":"uint256","name":"pwTokenAmount","type":"uint256"}],"name":"PwTokenUndelegated","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"changedBy","type":"address"},{"indexed":false,"internalType":"uint256","name":"oldPwTokenAmount","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"newPwTokenAmount","type":"uint256"}],"name":"RewardsPerBlockChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"account","type":"address"}],"name":"Unpaused","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"implementation","type":"address"}],"name":"Upgraded","type":"event"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"}],"name":"addLpToken","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"address","name":"lpToken","type":"address"}],"name":"balanceOf","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"balanceOfAllocatedPwTokens","outputs":[{"internalType":"uint256","name":"allocatedPwTokens","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"address[]","name":"lpTokens","type":"address[]"}],"name":"balanceOfDelegatedPwToken","outputs":[{"components":[{"internalType":"address","name":"lpToken","type":"address"},{"internalType":"uint256","name":"pwTokenAmount","type":"uint256"}],"internalType":"struct LiquidityMiningTypes.DelegatedPwTokenBalance[]","name":"balances","type":"tuple[]"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"address","name":"lpToken","type":"address"}],"name":"calculateAccountRewards","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"}],"name":"calculateAccruedRewards","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"}],"name":"claim","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"claimAllocatedPwTokens","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"confirmTransferOwnership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"address[]","name":"lpTokens","type":"address[]"},{"internalType":"uint256[]","name":"pwTokenAmounts","type":"uint256[]"}],"name":"delegatePwToken","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"address[]","name":"lpTokens","type":"address[]"},{"internalType":"uint256[]","name":"pwTokenAmounts","type":"uint256[]"},{"internalType":"uint256[]","name":"lpTokenAmounts","type":"uint256[]"}],"name":"delegatePwTokenAndStakeLpToken","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"address","name":"lpToken","type":"address"}],"name":"getAccountIndicators","outputs":[{"components":[{"internalType":"uint128","name":"compositeMultiplierCumulativePrevBlock","type":"uint128"},{"internalType":"uint128","name":"lpTokenBalance","type":"uint128"},{"internalType":"uint72","name":"powerUp","type":"uint72"},{"internalType":"uint96","name":"delegatedPwTokenBalance","type":"uint96"}],"internalType":"struct LiquidityMiningTypes.AccountRewardsIndicators","name":"","type":"tuple"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getContractId","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"}],"name":"getGlobalIndicators","outputs":[{"components":[{"internalType":"uint256","name":"aggregatedPowerUp","type":"uint256"},{"internalType":"uint128","name":"compositeMultiplierInTheBlock","type":"uint128"},{"internalType":"uint128","name":"compositeMultiplierCumulativePrevBlock","type":"uint128"},{"internalType":"uint32","name":"blockNumber","type":"uint32"},{"internalType":"uint32","name":"rewardsPerBlock","type":"uint32"},{"internalType":"uint88","name":"accruedRewards","type":"uint88"}],"internalType":"struct LiquidityMiningTypes.GlobalRewardsIndicators","name":"","type":"tuple"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getPauseManager","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getVersion","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"address[]","name":"lpTokens","type":"address[]"},{"internalType":"address","name":"powerToken","type":"address"},{"internalType":"address","name":"stakedToken","type":"address"}],"name":"initialize","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"}],"name":"isLpTokenSupported","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"owner","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"pause","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"paused","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"proxiableUUID","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"}],"name":"removeLpToken","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"renounceOwnership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"newPauseManagerAddr","type":"address"}],"name":"setPauseManager","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"},{"internalType":"uint32","name":"pwTokenAmount","type":"uint32"}],"name":"setRewardsPerBlock","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"},{"internalType":"uint256","name":"lpTokenAmount","type":"uint256"}],"name":"stake","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"appointedOwner","type":"address"}],"name":"transferOwnership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"address[]","name":"lpTokens","type":"address[]"},{"internalType":"uint256[]","name":"pwTokenAmounts","type":"uint256[]"}],"name":"undelegatePwToken","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"unpause","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"},{"internalType":"uint256","name":"lpTokenAmount","type":"uint256"}],"name":"unstake","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"lpToken","type":"address"},{"internalType":"uint256","name":"lpTokenAmount","type":"uint256"}],"name":"unstakeAndAllocatePwTokens","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"address[]","name":"lpTokens","type":"address[]"}],"name":"updateIndicators","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"newImplementation","type":"address"}],"name":"upgradeTo","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"newImplementation","type":"address"},{"internalType":"bytes","name":"data","type":"bytes"}],"name":"upgradeToAndCall","outputs":[],"stateMutability":"payable","type":"function"}]

Contract Creation Code

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Swarm Source

ipfs://3fe110dbac2afce103aa95e536ddfc1246e465bc92c902d21e96eadd872e7661

Block		Transaction	Difficulty	Gas Used	Reward

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Block		Uncle Number	Difficulty	Gas Used	Reward

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Validator Index	Block		Amount

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Transaction Hash	Block		Value	Eth2 PubKey	Valid

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Multichain Portfolio | 26 Chains

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Last updated: less than 1 sec ago

Chain	Token	Portfolio %	Price	Amount	Value

A contract address hosts a smart contract, which is a set of code stored on the blockchain that runs when predetermined conditions are met. Learn more about addresses in our Knowledge Base.

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