// File: @openzeppelin/contracts/interfaces/IERC20Metadata.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (interfaces/IERC20Metadata.sol)

pragma solidity ^0.8.0;

import "../token/ERC20/extensions/IERC20Metadata.sol";

// File: @openzeppelin/contracts/interfaces/IERC721Metadata.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (interfaces/IERC721Metadata.sol)

pragma solidity ^0.8.0;

import "../token/ERC721/extensions/IERC721Metadata.sol";

// File: @openzeppelin/contracts/proxy/Proxy.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (proxy/Proxy.sol)

pragma solidity ^0.8.0;

/**
 * @dev This abstract contract provides a fallback function that delegates all calls to another contract using the EVM
 * instruction `delegatecall`. We refer to the second contract as the _implementation_ behind the proxy, and it has to
 * be specified by overriding the virtual {_implementation} function.
 *
 * Additionally, delegation to the implementation can be triggered manually through the {_fallback} function, or to a
 * different contract through the {_delegate} function.
 *
 * The success and return data of the delegated call will be returned back to the caller of the proxy.
 */
abstract contract Proxy {
    /**
     * @dev Delegates the current call to `implementation`.
     *
     * This function does not return to its internal call site, it will return directly to the external caller.
     */
    function _delegate(address implementation) internal virtual {
        assembly {
            // Copy msg.data. We take full control of memory in this inline assembly
            // block because it will not return to Solidity code. We overwrite the
            // Solidity scratch pad at memory position 0.
            calldatacopy(0, 0, calldatasize())

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

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

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

    /**
     * @dev This is a virtual function that should be overridden so it returns the address to which the fallback function
     * and {_fallback} should delegate.
     */
    function _implementation() internal view virtual returns (address);

    /**
     * @dev Delegates the current call to the address returned by `_implementation()`.
     *
     * This function does not return to its internal call site, it will return directly to the external caller.
     */
    function _fallback() internal virtual {
        _beforeFallback();
        _delegate(_implementation());
    }

    /**
     * @dev Fallback function that delegates calls to the address returned by `_implementation()`. Will run if no other
     * function in the contract matches the call data.
     */
    fallback() external payable virtual {
        _fallback();
    }

    /**
     * @dev Fallback function that delegates calls to the address returned by `_implementation()`. Will run if call data
     * is empty.
     */
    receive() external payable virtual {
        _fallback();
    }

    /**
     * @dev Hook that is called before falling back to the implementation. Can happen as part of a manual `_fallback`
     * call, or as part of the Solidity `fallback` or `receive` functions.
     *
     * If overridden should call `super._beforeFallback()`.
     */
    function _beforeFallback() internal virtual {}
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (security/ReentrancyGuard.sol)

pragma solidity ^0.8.0;

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

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

    uint256 private _status;

    constructor() {
        _status = _NOT_ENTERED;
    }

    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and making it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        _nonReentrantBefore();
        _;
        _nonReentrantAfter();
    }

    function _nonReentrantBefore() private {
        // On the first call to nonReentrant, _status will be _NOT_ENTERED
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");

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

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

    /**
     * @dev Returns true if the reentrancy guard is currently set to "entered", which indicates there is a
     * `nonReentrant` function in the call stack.
     */
    function _reentrancyGuardEntered() internal view returns (bool) {
        return _status == _ENTERED;
    }
}

// File: @openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC20.sol";

/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20Metadata is IERC20 {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

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

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

// File: @openzeppelin/contracts/token/ERC20/extensions/IERC20Permit.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/IERC20Permit.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 */
interface IERC20Permit {
    /**
     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
     * given ``owner``'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

    /**
     * @dev Returns the current nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases ``owner``'s nonce by one. This
     * prevents a signature from being used multiple times.
     */
    function nonces(address owner) external view returns (uint256);

    /**
     * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view returns (bytes32);
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (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: @openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.3) (token/ERC20/utils/SafeERC20.sol)

pragma solidity ^0.8.0;

import "../IERC20.sol";
import "../extensions/IERC20Permit.sol";
import "../../../utils/Address.sol";

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

    /**
     * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }

    /**
     * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the
     * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.
     */
    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }

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

    /**
     * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 oldAllowance = token.allowance(address(this), spender);
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance + value));
    }

    /**
     * @dev Decrease the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        unchecked {
            uint256 oldAllowance = token.allowance(address(this), spender);
            require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance - value));
        }
    }

    /**
     * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful. Meant to be used with tokens that require the approval
     * to be set to zero before setting it to a non-zero value, such as USDT.
     */
    function forceApprove(IERC20 token, address spender, uint256 value) internal {
        bytes memory approvalCall = abi.encodeWithSelector(token.approve.selector, spender, value);

        if (!_callOptionalReturnBool(token, approvalCall)) {
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, 0));
            _callOptionalReturn(token, approvalCall);
        }
    }

    /**
     * @dev Use a ERC-2612 signature to set the `owner` approval toward `spender` on `token`.
     * Revert on invalid signature.
     */
    function safePermit(
        IERC20Permit token,
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        uint256 nonceBefore = token.nonces(owner);
        token.permit(owner, spender, value, deadline, v, r, s);
        uint256 nonceAfter = token.nonces(owner);
        require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
    }

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

        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        require(returndata.length == 0 || abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     *
     * This is a variant of {_callOptionalReturn} that silents catches all reverts and returns a bool instead.
     */
    function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We cannot use {Address-functionCall} here since this should return false
        // and not revert is the subcall reverts.

        (bool success, bytes memory returndata) = address(token).call(data);
        return
            success && (returndata.length == 0 || abi.decode(returndata, (bool))) && Address.isContract(address(token));
    }
}

// File: @openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC721/extensions/IERC721Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC721.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional metadata extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721Metadata is IERC721 {
    /**
     * @dev Returns the token collection name.
     */
    function name() external view returns (string memory);

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

    /**
     * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
     */
    function tokenURI(uint256 tokenId) external view returns (string memory);
}

// File: @openzeppelin/contracts/token/ERC721/IERC721.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721 is IERC165 {
    /**
     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
     */
    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
     */
    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
     */
    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /**
     * @dev Returns the number of tokens in ``owner``'s account.
     */
    function balanceOf(address owner) external view returns (uint256 balance);

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) external view returns (address owner);

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes calldata data) external;

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;

    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     *
     * Furthermore, `isContract` will also return true if the target contract within
     * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
     * which only has an effect at the end of a transaction.
     * ====
     *
     * [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://consensys.net/diligence/blog/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/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, "Address: low-level call failed");
    }

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

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

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

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

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

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

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // Look for revert reason and bubble it up if present
        if (returndata.length > 0) {
            // The easiest way to bubble the revert reason is using memory via assembly
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}

// File: @openzeppelin/contracts/utils/Create2.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Create2.sol)

pragma solidity ^0.8.0;

/**
 * @dev Helper to make usage of the `CREATE2` EVM opcode easier and safer.
 * `CREATE2` can be used to compute in advance the address where a smart
 * contract will be deployed, which allows for interesting new mechanisms known
 * as 'counterfactual interactions'.
 *
 * See the https://eips.ethereum.org/EIPS/eip-1014#motivation[EIP] for more
 * information.
 */
library Create2 {
    /**
     * @dev Deploys a contract using `CREATE2`. The address where the contract
     * will be deployed can be known in advance via {computeAddress}.
     *
     * The bytecode for a contract can be obtained from Solidity with
     * `type(contractName).creationCode`.
     *
     * Requirements:
     *
     * - `bytecode` must not be empty.
     * - `salt` must have not been used for `bytecode` already.
     * - the factory must have a balance of at least `amount`.
     * - if `amount` is non-zero, `bytecode` must have a `payable` constructor.
     */
    function deploy(uint256 amount, bytes32 salt, bytes memory bytecode) internal returns (address addr) {
        require(address(this).balance >= amount, "Create2: insufficient balance");
        require(bytecode.length != 0, "Create2: bytecode length is zero");
        /// @solidity memory-safe-assembly
        assembly {
            addr := create2(amount, add(bytecode, 0x20), mload(bytecode), salt)
        }
        require(addr != address(0), "Create2: Failed on deploy");
    }

    /**
     * @dev Returns the address where a contract will be stored if deployed via {deploy}. Any change in the
     * `bytecodeHash` or `salt` will result in a new destination address.
     */
    function computeAddress(bytes32 salt, bytes32 bytecodeHash) internal view returns (address) {
        return computeAddress(salt, bytecodeHash, address(this));
    }

    /**
     * @dev Returns the address where a contract will be stored if deployed via {deploy} from a contract located at
     * `deployer`. If `deployer` is this contract's address, returns the same value as {computeAddress}.
     */
    function computeAddress(bytes32 salt, bytes32 bytecodeHash, address deployer) internal pure returns (address addr) {
        /// @solidity memory-safe-assembly
        assembly {
            let ptr := mload(0x40) // Get free memory pointer

            // |                   | ↓ ptr ...  ↓ ptr + 0x0B (start) ...  ↓ ptr + 0x20 ...  ↓ ptr + 0x40 ...   |
            // |-------------------|---------------------------------------------------------------------------|
            // | bytecodeHash      |                                                        CCCCCCCCCCCCC...CC |
            // | salt              |                                      BBBBBBBBBBBBB...BB                   |
            // | deployer          | 000000...0000AAAAAAAAAAAAAAAAAAA...AA                                     |
            // | 0xFF              |            FF                                                             |
            // |-------------------|---------------------------------------------------------------------------|
            // | memory            | 000000...00FFAAAAAAAAAAAAAAAAAAA...AABBBBBBBBBBBBB...BBCCCCCCCCCCCCC...CC |
            // | keccak(start, 85) |            ↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑ |

            mstore(add(ptr, 0x40), bytecodeHash)
            mstore(add(ptr, 0x20), salt)
            mstore(ptr, deployer) // Right-aligned with 12 preceding garbage bytes
            let start := add(ptr, 0x0b) // The hashed data starts at the final garbage byte which we will set to 0xff
            mstore8(start, 0xff)
            addr := keccak256(start, 85)
        }
    }
}

// File: @openzeppelin/contracts/utils/introspection/ERC165.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165 is IERC165 {
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165).interfaceId;
    }
}

// File: @openzeppelin/contracts/utils/introspection/IERC165.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol)

pragma solidity ^0.8.0;

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

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

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

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

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

    /**
     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
     * with further edits by Uniswap Labs also under MIT license.
     */
    function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2^256 + prod0.
            uint256 prod0; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly {
                let mm := mulmod(x, y, not(0))
                prod0 := mul(x, y)
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                // Solidity will revert if denominator == 0, unlike the div opcode on its own.
                // The surrounding unchecked block does not change this fact.
                // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
                return prod0 / denominator;
            }

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            require(denominator > prod1, "Math: mulDiv overflow");

            ///////////////////////////////////////////////
            // 512 by 256 division.
            ///////////////////////////////////////////////

            // Make division exact by subtracting the remainder from [prod1 prod0].
            uint256 remainder;
            assembly {
                // Compute remainder using mulmod.
                remainder := mulmod(x, y, denominator)

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

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

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

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

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

            // Shift in bits from prod1 into prod0.
            prod0 |= prod1 * twos;

            // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
            // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
            // four bits. That is, denominator * inv = 1 mod 2^4.
            uint256 inverse = (3 * denominator) ^ 2;

            // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works
            // in modular arithmetic, doubling the correct bits in each step.
            inverse *= 2 - denominator * inverse; // inverse mod 2^8
            inverse *= 2 - denominator * inverse; // inverse mod 2^16
            inverse *= 2 - denominator * inverse; // inverse mod 2^32
            inverse *= 2 - denominator * inverse; // inverse mod 2^64
            inverse *= 2 - denominator * inverse; // inverse mod 2^128
            inverse *= 2 - denominator * inverse; // inverse mod 2^256

            // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
            // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
            // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
            // is no longer required.
            result = prod0 * inverse;
            return result;
        }
    }

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

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

        // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
        //
        // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
        // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
        //
        // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
        // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
        // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
        //
        // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
        uint256 result = 1 << (log2(a) >> 1);

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

    /**
     * @notice Calculates sqrt(a), following the selected rounding direction.
     */
    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = sqrt(a);
            return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 2, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 128;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 64;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 32;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 16;
            }
            if (value >> 8 > 0) {
                value >>= 8;
                result += 8;
            }
            if (value >> 4 > 0) {
                value >>= 4;
                result += 4;
            }
            if (value >> 2 > 0) {
                value >>= 2;
                result += 2;
            }
            if (value >> 1 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log2(value);
            return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 10, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >= 10 ** 64) {
                value /= 10 ** 64;
                result += 64;
            }
            if (value >= 10 ** 32) {
                value /= 10 ** 32;
                result += 32;
            }
            if (value >= 10 ** 16) {
                value /= 10 ** 16;
                result += 16;
            }
            if (value >= 10 ** 8) {
                value /= 10 ** 8;
                result += 8;
            }
            if (value >= 10 ** 4) {
                value /= 10 ** 4;
                result += 4;
            }
            if (value >= 10 ** 2) {
                value /= 10 ** 2;
                result += 2;
            }
            if (value >= 10 ** 1) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log10(value);
            return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 256, rounded down, of a positive value.
     * Returns 0 if given 0.
     *
     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
     */
    function log256(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 16;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 8;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 4;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 2;
            }
            if (value >> 8 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 256, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log256(value);
            return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0);
        }
    }
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SafeCast.sol)
// This file was procedurally generated from scripts/generate/templates/SafeCast.js.

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 downcasted) {
        downcasted = int248(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 248 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int240(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 240 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int232(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 232 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int224(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 224 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int216(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 216 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int208(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 208 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int200(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 200 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int192(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 192 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int184(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 184 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int176(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 176 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int168(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 168 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int160(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 160 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int152(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 152 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int144(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 144 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int136(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 136 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int128(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 128 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int120(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 120 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int112(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 112 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int104(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 104 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int96(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 96 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int88(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 88 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int80(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 80 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int72(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 72 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int64(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 64 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int56(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 56 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int48(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 48 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int40(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 40 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int32(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 32 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int24(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 24 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int16(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 16 bits");
    }

    /**
     * @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 downcasted) {
        downcasted = int8(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 8 bits");
    }

    /**
     * @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: @openzeppelin/contracts/utils/math/SignedMath.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SignedMath.sol)

pragma solidity ^0.8.0;

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

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

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

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

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Multicall.sol)

pragma solidity ^0.8.0;

import "./Address.sol";

/**
 * @dev Provides a function to batch together multiple calls in a single external call.
 *
 * _Available since v4.1._
 */
abstract contract Multicall {
    /**
     * @dev Receives and executes a batch of function calls on this contract.
     * @custom:oz-upgrades-unsafe-allow-reachable delegatecall
     */
    function multicall(bytes[] calldata data) external virtual returns (bytes[] memory results) {
        results = new bytes[](data.length);
        for (uint256 i = 0; i < data.length; i++) {
            results[i] = Address.functionDelegateCall(address(this), data[i]);
        }
        return results;
    }
}

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



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Strings.sol)

pragma solidity ^0.8.0;

import "./math/Math.sol";
import "./math/SignedMath.sol";

/**
 * @dev String operations.
 */
library Strings {
    bytes16 private constant _SYMBOLS = "0123456789abcdef";
    uint8 private constant _ADDRESS_LENGTH = 20;

    /**
     * @dev Converts a `uint256` to its ASCII `string` decimal representation.
     */
    function toString(uint256 value) internal pure returns (string memory) {
        unchecked {
            uint256 length = Math.log10(value) + 1;
            string memory buffer = new string(length);
            uint256 ptr;
            /// @solidity memory-safe-assembly
            assembly {
                ptr := add(buffer, add(32, length))
            }
            while (true) {
                ptr--;
                /// @solidity memory-safe-assembly
                assembly {
                    mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
                }
                value /= 10;
                if (value == 0) break;
            }
            return buffer;
        }
    }

    /**
     * @dev Converts a `int256` to its ASCII `string` decimal representation.
     */
    function toString(int256 value) internal pure returns (string memory) {
        return string(abi.encodePacked(value < 0 ? "-" : "", toString(SignedMath.abs(value))));
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
     */
    function toHexString(uint256 value) internal pure returns (string memory) {
        unchecked {
            return toHexString(value, Math.log256(value) + 1);
        }
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
     */
    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
        bytes memory buffer = new bytes(2 * length + 2);
        buffer[0] = "0";
        buffer[1] = "x";
        for (uint256 i = 2 * length + 1; i > 1; --i) {
            buffer[i] = _SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }

    /**
     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
     */
    function toHexString(address addr) internal pure returns (string memory) {
        return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
    }

    /**
     * @dev Returns true if the two strings are equal.
     */
    function equal(string memory a, string memory b) internal pure returns (bool) {
        return keccak256(bytes(a)) == keccak256(bytes(b));
    }
}

// File: contracts/BorrowLogic.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

import "@openzeppelin/contracts/utils/math/Math.sol";
import "@openzeppelin/contracts/utils/math/SafeCast.sol";

import "./Pool.sol";
import "./LoanReceipt.sol";
import "./LiquidityLogic.sol";

import "./interfaces/IPool.sol";

/**
 * @title Borrow Logic
 * @author MetaStreet Labs
 */
library BorrowLogic {
    using SafeCast for uint256;
    using LiquidityLogic for LiquidityLogic.Liquidity;

    /**************************************************************************/
    /* Constants */
    /**************************************************************************/

    /**
     * @notice Borrower's split of liquidation proceed surplus in basis points
     */
    uint256 internal constant BORROWER_SURPLUS_SPLIT_BASIS_POINTS = 9_500;

    /**
     * @notice Borrow options tag size in bytes
     */
    uint256 internal constant BORROW_OPTIONS_TAG_SIZE = 2;

    /**
     * @notice Borrow options length size in bytes
     */
    uint256 internal constant BORROW_OPTIONS_LENGTH_SIZE = 2;

    /**************************************************************************/
    /* Helpers */
    /**************************************************************************/

    /**
     * @notice Helper function to extract specified option tag from options
     * data
     *
     * @dev Options are encoded as:
     *   2 byte uint16 tag
     *   2 byte uint16 length
     *   n byte bytes  data
     * The first matching tag is returned.
     *
     * @param options Encoded options
     * @param tag Tag to find
     * @return Options data
     */
    function _getOptionsData(bytes calldata options, Pool.BorrowOptions tag) internal pure returns (bytes calldata) {
        /* Scan the options for the tag */
        for (uint256 offsetTag; offsetTag < options.length; ) {
            /* Compute offsets with for tag length and data */
            uint256 offsetLength = offsetTag + BORROW_OPTIONS_TAG_SIZE;
            uint256 offsetData = offsetTag + BORROW_OPTIONS_TAG_SIZE + BORROW_OPTIONS_LENGTH_SIZE;

            /* The tag is in the first 2 bytes of each options item */
            uint256 currentTag = uint16(bytes2(options[offsetTag:offsetLength]));

            /* The length of the options data is in the second 2 bytes of each options item, after the tag */
            uint256 dataLength = uint16(bytes2(options[offsetLength:offsetData]));

            /* Return the offset and length if the tag is found */
            if (currentTag == uint256(tag)) {
                return options[offsetData:offsetData + dataLength];
            }

            /* Increment to next options item */
            offsetTag = offsetData + dataLength;
        }

        /* Return empty slice if no tag is found */
        return options[0:0];
    }

    /**
     * @dev Helper function to calculated prorated repayment
     * @param loanReceipt Decoded loan receipt
     * @return repayment amount in currency tokens
     * @return proration based on elapsed duration
     */
    function _prorateRepayment(
        LoanReceipt.LoanReceiptV2 memory loanReceipt
    ) internal view returns (uint256 repayment, uint256 proration) {
        /* Minimum of proration and 1.0 */
        proration = Math.min(
            ((block.timestamp - (loanReceipt.maturity - loanReceipt.duration)) * LiquidityLogic.FIXED_POINT_SCALE) /
                loanReceipt.duration,
            LiquidityLogic.FIXED_POINT_SCALE
        );

        /* Compute repayment using prorated interest */
        repayment =
            loanReceipt.principal +
            (((loanReceipt.repayment - loanReceipt.principal) * proration) / LiquidityLogic.FIXED_POINT_SCALE);
    }

    /**
     * @dev Helper function to handle borrow accounting
     * @param self Pool storage
     * @param principal Principal amount in currency tokens
     * @param duration Duration in seconds
     * @param collateralToken Collateral token address
     * @param collateralTokenId Collateral token ID
     * @param repayment Repayment amount in currency tokens
     * @param maxRepayment Maximum repayment amount in currency tokens
     * @param adminFee Admin fee
     * @param nodes Liquidity nodes
     * @param count Liquidity nodes count
     * @param collateralWrapperContext Collateral wrapper context data
     * @return Encoded loan receipt, loan receipt hash
     */
    function _borrow(
        Pool.PoolStorage storage self,
        uint256 principal,
        uint64 duration,
        address collateralToken,
        uint256 collateralTokenId,
        uint256 repayment,
        uint256 maxRepayment,
        uint256 adminFee,
        LiquidityLogic.NodeSource[] memory nodes,
        uint16 count,
        bytes memory collateralWrapperContext
    ) external returns (bytes memory, bytes32) {
        /* Validate duration is non-zero */
        if (duration == 0) revert IPool.UnsupportedLoanDuration();

        /* Validate repayment */
        if (repayment > maxRepayment) revert IPool.RepaymentTooHigh();

        /* Build the loan receipt */
        LoanReceipt.LoanReceiptV2 memory receipt = LoanReceipt.LoanReceiptV2({
            version: 2,
            principal: principal,
            repayment: repayment,
            adminFee: adminFee,
            borrower: msg.sender,
            maturity: uint64(block.timestamp + duration),
            duration: duration,
            collateralToken: collateralToken,
            collateralTokenId: collateralTokenId,
            collateralWrapperContextLen: collateralWrapperContext.length.toUint16(),
            collateralWrapperContext: collateralWrapperContext,
            nodeReceipts: new LoanReceipt.NodeReceipt[](count)
        });

        /* Use liquidity nodes */
        for (uint256 i; i < count; i++) {
            /* Use node */
            self.liquidity.use(nodes[i].tick, nodes[i].used, nodes[i].pending, duration);

            /* Construct node receipt */
            receipt.nodeReceipts[i] = LoanReceipt.NodeReceipt({
                tick: nodes[i].tick,
                used: nodes[i].used,
                pending: nodes[i].pending
            });
        }

        /* Encode and hash the loan receipt */
        bytes memory encodedLoanReceipt = LoanReceipt.encode(receipt);
        bytes32 loanReceiptHash = LoanReceipt.hash(encodedLoanReceipt);

        /* Validate no loan receipt hash collision */
        if (self.loans[loanReceiptHash] != Pool.LoanStatus.Uninitialized) revert IPool.InvalidLoanReceipt();

        /* Store loan status */
        self.loans[loanReceiptHash] = Pool.LoanStatus.Active;

        return (encodedLoanReceipt, loanReceiptHash);
    }

    /**
     * @dev Helper function to handle repay accounting
     * @param self Pool storage
     * @param encodedLoanReceipt Encoded loan receipt
     * @return Repayment amount in currency tokens, decoded loan receipt, loan
     * receipt hash
     */
    function _repay(
        Pool.PoolStorage storage self,
        bytes calldata encodedLoanReceipt
    ) external returns (uint256, LoanReceipt.LoanReceiptV2 memory, bytes32) {
        /* Compute loan receipt hash */
        bytes32 loanReceiptHash = LoanReceipt.hash(encodedLoanReceipt);

        /* Validate loan receipt */
        if (self.loans[loanReceiptHash] != Pool.LoanStatus.Active) revert IPool.InvalidLoanReceipt();

        /* Decode loan receipt */
        LoanReceipt.LoanReceiptV2 memory loanReceipt = LoanReceipt.decode(encodedLoanReceipt);

        /* Validate borrow and repay is not in same block */
        if (loanReceipt.maturity - loanReceipt.duration == block.timestamp) revert IPool.InvalidLoanReceipt();

        /* Validate caller is borrower */
        if (msg.sender != loanReceipt.borrower) revert IPool.InvalidCaller();

        /* Compute proration and repayment using prorated interest */
        (uint256 repayment, uint256 proration) = _prorateRepayment(loanReceipt);

        /* Compute elapsed time since loan origination */
        uint64 elapsed = uint64(block.timestamp + loanReceipt.duration - loanReceipt.maturity);

        /* Restore liquidity nodes */
        for (uint256 i; i < loanReceipt.nodeReceipts.length; i++) {
            /* Restore node */
            self.liquidity.restore(
                loanReceipt.nodeReceipts[i].tick,
                loanReceipt.nodeReceipts[i].used,
                loanReceipt.nodeReceipts[i].pending,
                loanReceipt.nodeReceipts[i].used +
                    uint128(
                        ((loanReceipt.nodeReceipts[i].pending - loanReceipt.nodeReceipts[i].used) * proration) /
                            LiquidityLogic.FIXED_POINT_SCALE
                    ),
                loanReceipt.duration,
                elapsed
            );
        }

        /* Update admin fee total balance with prorated admin fee */
        self.adminFeeBalance += (loanReceipt.adminFee * proration) / LiquidityLogic.FIXED_POINT_SCALE;

        /* Mark loan status repaid */
        self.loans[loanReceiptHash] = Pool.LoanStatus.Repaid;

        return (repayment, loanReceipt, loanReceiptHash);
    }

    /**
     * @dev Helper function to handle liquidate accounting
     * @param self Pool storage
     * @param encodedLoanReceipt Encoded loan receipt
     * @return Decoded loan receipt, loan receipt hash
     */
    function _liquidate(
        Pool.PoolStorage storage self,
        bytes calldata encodedLoanReceipt
    ) external returns (LoanReceipt.LoanReceiptV2 memory, bytes32) {
        /* Compute loan receipt hash */
        bytes32 loanReceiptHash = LoanReceipt.hash(encodedLoanReceipt);

        /* Validate loan status is active */
        if (self.loans[loanReceiptHash] != Pool.LoanStatus.Active) revert IPool.InvalidLoanReceipt();

        /* Decode loan receipt */
        LoanReceipt.LoanReceiptV2 memory loanReceipt = LoanReceipt.decode(encodedLoanReceipt);

        /* Validate loan is expired */
        if (block.timestamp <= loanReceipt.maturity) revert IPool.LoanNotExpired();

        /* Mark loan status liquidated */
        self.loans[loanReceiptHash] = Pool.LoanStatus.Liquidated;

        return (loanReceipt, loanReceiptHash);
    }

    /**
     * @dev Helper function to handle collateral liquidation accounting
     * @param self Pool storage
     * @param encodedLoanReceipt Encoded loan receipt
     * @param proceeds Proceeds amount in currency tokens
     * @return Borrower surplus, decoded loan receipt, loan receipt hash
     */
    function _onCollateralLiquidated(
        Pool.PoolStorage storage self,
        bytes calldata encodedLoanReceipt,
        uint256 proceeds
    ) external returns (uint256, LoanReceipt.LoanReceiptV2 memory, bytes32) {
        /* Compute loan receipt hash */
        bytes32 loanReceiptHash = LoanReceipt.hash(encodedLoanReceipt);

        /* Validate loan status is liquidated */
        if (self.loans[loanReceiptHash] != Pool.LoanStatus.Liquidated) revert IPool.InvalidLoanReceipt();

        /* Decode loan receipt */
        LoanReceipt.LoanReceiptV2 memory loanReceipt = LoanReceipt.decode(encodedLoanReceipt);

        /* Check if the proceeds have a surplus */
        bool hasSurplus = proceeds > loanReceipt.repayment;

        /* Compute borrower's share of liquidation surplus */
        uint256 borrowerSurplus = hasSurplus
            ? Math.mulDiv(
                proceeds - loanReceipt.repayment,
                BORROWER_SURPLUS_SPLIT_BASIS_POINTS,
                LiquidityLogic.BASIS_POINTS_SCALE
            )
            : 0;

        /* Compute lenders' proceeds */
        uint256 lendersProceeds = proceeds - borrowerSurplus;

        /* Compute total pending */
        uint256 totalPending = loanReceipt.repayment - loanReceipt.adminFee;

        /* Compute elapsed time since loan origination */
        uint64 elapsed = uint64(block.timestamp + loanReceipt.duration - loanReceipt.maturity);

        /* Restore liquidity nodes */
        uint256 proceedsRemaining = lendersProceeds;
        uint256 lastIndex = loanReceipt.nodeReceipts.length - 1;
        for (uint256 i; i < loanReceipt.nodeReceipts.length; i++) {
            /* Compute amount to restore depending on whether there is a surplus */
            uint256 restored = (i == lastIndex) ? proceedsRemaining : hasSurplus
                ? Math.mulDiv(lendersProceeds, loanReceipt.nodeReceipts[i].pending, totalPending)
                : Math.min(loanReceipt.nodeReceipts[i].pending, proceedsRemaining);

            /* Restore node */
            self.liquidity.restore(
                loanReceipt.nodeReceipts[i].tick,
                loanReceipt.nodeReceipts[i].used,
                loanReceipt.nodeReceipts[i].pending,
                restored.toUint128(),
                loanReceipt.duration,
                elapsed
            );

            /* Update proceeds remaining */
            proceedsRemaining -= restored;
        }

        /* Mark loan status collateral liquidated */
        self.loans[loanReceiptHash] = Pool.LoanStatus.CollateralLiquidated;

        return (borrowerSurplus, loanReceipt, loanReceiptHash);
    }
}

// File: contracts/DepositLogic.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

import "./Pool.sol";
import "./Tick.sol";
import "./LiquidityLogic.sol";

import "./interfaces/IPool.sol";

/**
 * @title Deposit Logic
 * @author MetaStreet Labs
 */
library DepositLogic {
    using LiquidityLogic for LiquidityLogic.Liquidity;

    /**
     * @dev Helper function to handle deposit accounting
     * @param self Pool storage
     * @param tick Tick
     * @param amount Amount
     * @param minShares Minimum shares
     * @return Deposit shares
     */
    function _deposit(
        Pool.PoolStorage storage self,
        uint128 tick,
        uint128 amount,
        uint128 minShares
    ) external returns (uint128) {
        /* Validate tick */
        Tick.validate(tick, 0, 0, self.durations.length - 1, 0, self.rates.length - 1);

        /* Deposit into liquidity node */
        uint128 shares = self.liquidity.deposit(tick, amount);

        /* Validate shares received is sufficient */
        if (shares == 0 || shares < minShares) revert IPool.InsufficientShares();

        /* Add to deposit */
        self.deposits[msg.sender][tick].shares += shares;

        return shares;
    }

    /**
     * @dev Helper function to handle redeem accounting
     * @param self Pool storage
     * @param tick Tick
     * @param shares Shares
     * @return redemptionId Redemption ID
     */
    function _redeem(Pool.PoolStorage storage self, uint128 tick, uint128 shares) external returns (uint128) {
        /* Look up deposit */
        Pool.Deposit storage dep = self.deposits[msg.sender][tick];

        /* Assign redemption ID */
        uint128 redemptionId = dep.redemptionId++;

        /* Look up redemption */
        Pool.Redemption storage redemption = dep.redemptions[redemptionId];

        /* Validate shares */
        if (shares == 0 || shares > dep.shares) revert IPool.InsufficientShares();

        /* Redeem shares in tick with liquidity manager */
        (uint128 index, uint128 target) = self.liquidity.redeem(tick, shares);

        /* Update deposit state */
        redemption.pending = shares;
        redemption.index = index;
        redemption.target = target;

        /* Decrement deposit shares */
        dep.shares -= shares;

        return redemptionId;
    }

    /**
     * @dev Helper function to handle withdraw accounting
     * @param self Pool storage
     * @param tick Tick
     * @param redemptionId Redemption ID
     * @return Withdrawn shares and withdrawn amount
     */
    function _withdraw(
        Pool.PoolStorage storage self,
        uint128 tick,
        uint128 redemptionId
    ) external returns (uint128, uint128) {
        /* Look up redemption */
        Pool.Redemption storage redemption = self.deposits[msg.sender][tick].redemptions[redemptionId];

        /* If no redemption is pending */
        if (redemption.pending == 0) revert IPool.InvalidRedemptionStatus();

        /* Look up redemption available */
        (uint128 shares, uint128 amount, uint128 processedIndices, uint128 processedShares) = self
            .liquidity
            .redemptionAvailable(tick, redemption.pending, redemption.index, redemption.target);

        /* If the entire redemption is ready */
        if (shares == redemption.pending) {
            delete self.deposits[msg.sender][tick].redemptions[redemptionId];
        } else {
            redemption.pending -= shares;
            redemption.index += processedIndices;
            redemption.target = (processedShares < redemption.target) ? redemption.target - processedShares : 0;
        }

        return (shares, amount);
    }

    /**
     * @dev Helper function to handle transfer accounting
     * @param self Pool storage
     * @param from From
     * @param to To
     * @param tick Tick
     * @param shares Shares
     */
    function _transfer(Pool.PoolStorage storage self, address from, address to, uint128 tick, uint128 shares) external {
        if (self.deposits[from][tick].shares < shares) revert IPool.InsufficientShares();

        self.deposits[from][tick].shares -= shares;
        self.deposits[to][tick].shares += shares;
    }

    /**
     * Helper function to look up redemption available
     * @param self Pool storage
     * @param account Account
     * @param tick Tick
     * @param redemptionId Redemption ID
     * @return shares Amount of deposit shares available for redemption
     * @return amount Amount of currency tokens available for withdrawal
     * @return sharesAhead Amount of pending shares ahead in queue
     */
    function _redemptionAvailable(
        Pool.PoolStorage storage self,
        address account,
        uint128 tick,
        uint128 redemptionId
    ) external view returns (uint256 shares, uint256 amount, uint256 sharesAhead) {
        /* Look up redemption */
        Pool.Redemption storage redemption = self.deposits[account][tick].redemptions[redemptionId];

        /* If no redemption is pending */
        if (redemption.pending == 0) return (0, 0, 0);

        uint128 processedShares;
        (shares, amount, , processedShares) = self.liquidity.redemptionAvailable(
            tick,
            redemption.pending,
            redemption.index,
            redemption.target
        );

        /* Compute pending shares ahead in queue */
        sharesAhead = redemption.target > processedShares ? redemption.target - processedShares : 0;
    }
}

// File: contracts/filters/CollateralFilter.sol



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

/**
 * @title Collateral Filter API
 * @author MetaStreet Labs
 */
abstract contract CollateralFilter {
    /**************************************************************************/
    /* Errors */
    /**************************************************************************/

    /**
     * @notice Invalid parameters
     */
    error InvalidCollateralFilterParameters();

    /**************************************************************************/
    /* API */
    /**************************************************************************/

    /**
     * @notice Get collateral filter name
     * @return Collateral filter name
     */
    function COLLATERAL_FILTER_NAME() external view virtual returns (string memory);

    /**
     * @notice Get collateral filter version
     * @return Collateral filter version
     */
    function COLLATERAL_FILTER_VERSION() external view virtual returns (string memory);

    /**
     * @notice Get collateral token
     * @return Collateral token contract
     */
    function collateralToken() external view virtual returns (address);

    /**
     * Query if collateral token is supported
     * @param token Collateral token contract
     * @param tokenId Collateral Token ID
     * @param index Collateral Token ID index
     * @param context ABI-encoded context
     * @return True if supported, otherwise false
     */
    function _collateralSupported(
        address token,
        uint256 tokenId,
        uint256 index,
        bytes calldata context
    ) internal view virtual returns (bool);
}

// File: contracts/integrations/DelegateCash/IDelegationRegistry.sol



// SPDX-License-Identifier: CC0-1.0
pragma solidity ^0.8.19;

/**
 * @title An immutable registry contract to be deployed as a standalone primitive
 * @dev See EIP-5639, new project launches can read previous cold wallet -> hot wallet delegations
 * from here and integrate those permissions into their flow
 */
interface IDelegationRegistry {
    /// @notice Delegation type
    enum DelegationType {
        NONE,
        ALL,
        CONTRACT,
        TOKEN
    }

    /// @notice Info about a single delegation, used for onchain enumeration
    struct DelegationInfo {
        DelegationType type_;
        address vault;
        address delegate;
        address contract_;
        uint256 tokenId;
    }

    /// @notice Info about a single contract-level delegation
    struct ContractDelegation {
        address contract_;
        address delegate;
    }

    /// @notice Info about a single token-level delegation
    struct TokenDelegation {
        address contract_;
        uint256 tokenId;
        address delegate;
    }

    /// @notice Emitted when a user delegates their entire wallet
    event DelegateForAll(address vault, address delegate, bool value);

    /// @notice Emitted when a user delegates a specific contract
    event DelegateForContract(address vault, address delegate, address contract_, bool value);

    /// @notice Emitted when a user delegates a specific token
    event DelegateForToken(address vault, address delegate, address contract_, uint256 tokenId, bool value);

    /// @notice Emitted when a user revokes all delegations
    event RevokeAllDelegates(address vault);

    /// @notice Emitted when a user revoes all delegations for a given delegate
    event RevokeDelegate(address vault, address delegate);

    /**
     * -----------  WRITE -----------
     */

    /**
     * @notice Allow the delegate to act on your behalf for all contracts
     * @param delegate The hotwallet to act on your behalf
     * @param value Whether to enable or disable delegation for this address, true for setting and false for revoking
     */
    function delegateForAll(address delegate, bool value) external;

    /**
     * @notice Allow the delegate to act on your behalf for a specific contract
     * @param delegate The hotwallet to act on your behalf
     * @param contract_ The address for the contract you're delegating
     * @param value Whether to enable or disable delegation for this address, true for setting and false for revoking
     */
    function delegateForContract(address delegate, address contract_, bool value) external;

    /**
     * @notice Allow the delegate to act on your behalf for a specific token
     * @param delegate The hotwallet to act on your behalf
     * @param contract_ The address for the contract you're delegating
     * @param tokenId The token id for the token you're delegating
     * @param value Whether to enable or disable delegation for this address, true for setting and false for revoking
     */
    function delegateForToken(address delegate, address contract_, uint256 tokenId, bool value) external;

    /**
     * @notice Revoke all delegates
     */
    function revokeAllDelegates() external;

    /**
     * @notice Revoke a specific delegate for all their permissions
     * @param delegate The hotwallet to revoke
     */
    function revokeDelegate(address delegate) external;

    /**
     * @notice Remove yourself as a delegate for a specific vault
     * @param vault The vault which delegated to the msg.sender, and should be removed
     */
    function revokeSelf(address vault) external;

    /**
     * -----------  READ -----------
     */

    /**
     * @notice Returns all active delegations a given delegate is able to claim on behalf of
     * @param delegate The delegate that you would like to retrieve delegations for
     * @return info Array of DelegationInfo structs
     */
    function getDelegationsByDelegate(address delegate) external view returns (DelegationInfo[] memory);

    /**
     * @notice Returns an array of wallet-level delegates for a given vault
     * @param vault The cold wallet who issued the delegation
     * @return addresses Array of wallet-level delegates for a given vault
     */
    function getDelegatesForAll(address vault) external view returns (address[] memory);

    /**
     * @notice Returns an array of contract-level delegates for a given vault and contract
     * @param vault The cold wallet who issued the delegation
     * @param contract_ The address for the contract you're delegating
     * @return addresses Array of contract-level delegates for a given vault and contract
     */
    function getDelegatesForContract(address vault, address contract_) external view returns (address[] memory);

    /**
     * @notice Returns an array of contract-level delegates for a given vault's token
     * @param vault The cold wallet who issued the delegation
     * @param contract_ The address for the contract holding the token
     * @param tokenId The token id for the token you're delegating
     * @return addresses Array of contract-level delegates for a given vault's token
     */
    function getDelegatesForToken(
        address vault,
        address contract_,
        uint256 tokenId
    ) external view returns (address[] memory);

    /**
     * @notice Returns all contract-level delegations for a given vault
     * @param vault The cold wallet who issued the delegations
     * @return delegations Array of ContractDelegation structs
     */
    function getContractLevelDelegations(address vault) external view returns (ContractDelegation[] memory delegations);

    /**
     * @notice Returns all token-level delegations for a given vault
     * @param vault The cold wallet who issued the delegations
     * @return delegations Array of TokenDelegation structs
     */
    function getTokenLevelDelegations(address vault) external view returns (TokenDelegation[] memory delegations);

    /**
     * @notice Returns true if the address is delegated to act on the entire vault
     * @param delegate The hotwallet to act on your behalf
     * @param vault The cold wallet who issued the delegation
     */
    function checkDelegateForAll(address delegate, address vault) external view returns (bool);

    /**
     * @notice Returns true if the address is delegated to act on your behalf for a token contract or an entire vault
     * @param delegate The hotwallet to act on your behalf
     * @param contract_ The address for the contract you're delegating
     * @param vault The cold wallet who issued the delegation
     */
    function checkDelegateForContract(address delegate, address vault, address contract_) external view returns (bool);

    /**
     * @notice Returns true if the address is delegated to act on your behalf for a specific token, the token's contract or an entire vault
     * @param delegate The hotwallet to act on your behalf
     * @param contract_ The address for the contract you're delegating
     * @param tokenId The token id for the token you're delegating
     * @param vault The cold wallet who issued the delegation
     */
    function checkDelegateForToken(
        address delegate,
        address vault,
        address contract_,
        uint256 tokenId
    ) external view returns (bool);
}

// File: contracts/interfaces/ICollateralLiquidationReceiver.sol



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

/**
 * @title Interface to a Collateral Liquidation Receiver
 */
interface ICollateralLiquidationReceiver {
    /**
     * @notice Callback on collateral liquidated
     * @dev Pre-conditions: 1) proceeds were transferred, and 2) transferred amount >= proceeds
     * @param liquidationContext Liquidation context
     * @param proceeds Liquidation proceeds in currency tokens
     */
    function onCollateralLiquidated(bytes calldata liquidationContext, uint256 proceeds) external;
}

// File: contracts/interfaces/ICollateralLiquidator.sol



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

/**
 * @title Interface to a Collateral Liquidator
 */
interface ICollateralLiquidator {
    /**
     * @notice Get collateral liquidator name
     * @return Collateral liquidator name
     */
    function name() external view returns (string memory);

    /**
     * @notice Liquidate collateral
     * @param currencyToken Currency token
     * @param collateralToken Collateral token, either underlying token or collateral wrapper
     * @param collateralTokenId Collateral token ID
     * @param collateralWrapperContext Collateral wrapper context
     * @param liquidationContext Liquidation callback context
     */
    function liquidate(
        address currencyToken,
        address collateralToken,
        uint256 collateralTokenId,
        bytes calldata collateralWrapperContext,
        bytes calldata liquidationContext
    ) external;
}

// File: contracts/interfaces/ICollateralWrapper.sol



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

/**
 * @title Interface to a Collateral Wrapper
 */
interface ICollateralWrapper {
    /**************************************************************************/
    /* API */
    /**************************************************************************/

    /**
     * @notice Get collateral wrapper name
     * @return Collateral wrapper name
     */
    function name() external view returns (string memory);

    /**
     * @notice Enumerate wrapped collateral
     * @param tokenId Collateral wrapper token ID
     * @param context Implementation-specific context
     * @return token Token address
     * @return tokenIds List of unique token ids
     */
    function enumerate(
        uint256 tokenId,
        bytes calldata context
    ) external view returns (address token, uint256[] memory tokenIds);

    /**
     * @notice Enumerate wrapped collateral with quantities of each token id
     * @param tokenId Collateral wrapper token ID
     * @param context Implementation-specific context
     * @return token Token address
     * @return tokenIds List of unique token ids
     * @return quantities List of quantities of each token id
     */
    function enumerateWithQuantities(
        uint256 tokenId,
        bytes calldata context
    ) external view returns (address token, uint256[] memory tokenIds, uint256[] memory quantities);

    /**
     * @notice Get total token count represented by wrapped collateral
     * @param tokenId Collateral wrapper token ID
     * @param context Implementation-specific context
     * @return tokenCount Total token count
     */
    function count(uint256 tokenId, bytes calldata context) external view returns (uint256 tokenCount);

    /*
     * Transfer collateral calldata
     * @param token Collateral token
     * @param from From address
     * @param to To address
     * @param tokenId Collateral wrapper token ID
     * @param quantity Quantity of token ID
     * @return target Transfer target
     * @return data Transfer calldata
     */
    function transferCalldata(
        address token,
        address from,
        address to,
        uint256 tokenId,
        uint256 quantity
    ) external returns (address target, bytes memory data);

    /*
     * Unwrap collateral
     * @param tokenId Collateral wrapper token ID
     * @param context Implementation-specific context
     */
    function unwrap(uint256 tokenId, bytes calldata context) external;
}

// File: contracts/interfaces/ILiquidity.sol



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

/**
 * @title Interface to Liquidity state
 */
interface ILiquidity {
    /**************************************************************************/
    /* Errors */
    /**************************************************************************/

    /**
     * @notice Insufficient liquidity
     */
    error InsufficientLiquidity();

    /**
     * @notice Inactive liquidity
     */
    error InactiveLiquidity();

    /**
     * @notice Insufficient tick spacing
     */
    error InsufficientTickSpacing();

    /**************************************************************************/
    /* Structures */
    /**************************************************************************/

    /**
     * @notice Flattened liquidity node returned by getter
     * @param tick Tick
     * @param value Liquidity value
     * @param shares Liquidity shares outstanding
     * @param available Liquidity available
     * @param pending Liquidity pending (with interest)
     * @param redemptions Total pending redemptions
     * @param prev Previous liquidity node
     * @param next Next liquidity node
     */
    struct NodeInfo {
        uint128 tick;
        uint128 value;
        uint128 shares;
        uint128 available;
        uint128 pending;
        uint128 redemptions;
        uint128 prev;
        uint128 next;
    }

    /**
     * @notice Accrual info returned by getter
     * @param accrued Accrued interest
     * @param rate Accrual rate
     * @param timestamp Accrual timestamp
     */
    struct AccrualInfo {
        uint128 accrued;
        uint64 rate;
        uint64 timestamp;
    }

    /**************************************************************************/
    /* API */
    /**************************************************************************/

    /**
     * Get liquidity nodes spanning [startTick, endTick] range
     * @param startTick Start tick
     * @param endTick End tick
     * @return Liquidity nodes
     */
    function liquidityNodes(uint128 startTick, uint128 endTick) external view returns (NodeInfo[] memory);

    /**
     * Get liquidity node at tick
     * @param tick Tick
     * @return Liquidity node
     */
    function liquidityNode(uint128 tick) external view returns (NodeInfo memory);

    /**
     * Get liquidity node with accrual info at tick
     * @param tick Tick
     * @return Liquidity node, Accrual info
     */
    function liquidityNodeWithAccrual(uint128 tick) external view returns (NodeInfo memory, AccrualInfo memory);

    /**
     * @notice Get deposit share price
     * @param tick Tick
     * @return Deposit share price
     */
    function depositSharePrice(uint128 tick) external view returns (uint256);

    /**
     * @notice Get redemption share price
     * @param tick Tick
     * @return Redemption share price
     */
    function redemptionSharePrice(uint128 tick) external view returns (uint256);
}

// File: contracts/interfaces/IPool.sol



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

/**
 * @title Interface to a Pool
 */
interface IPool {
    /**************************************************************************/
    /* Errors */
    /**************************************************************************/

    /**
     * @notice Invalid caller
     */
    error InvalidCaller();

    /**
     * @notice Insufficient shares
     */
    error InsufficientShares();

    /**
     * @notice Invalid redemption status
     */
    error InvalidRedemptionStatus();

    /**
     * @notice Invalid loan receipt
     */
    error InvalidLoanReceipt();

    /**
     * @notice Invalid borrow options
     */
    error InvalidBorrowOptions();

    /**
     * @notice Unsupported collateral
     * @param index Index of unsupported asset
     */
    error UnsupportedCollateral(uint256 index);

    /**
     * @notice Unsupported loan duration
     */
    error UnsupportedLoanDuration();

    /**
     * @notice Repayment too high
     */
    error RepaymentTooHigh();

    /**
     * @notice Loan not expired
     */
    error LoanNotExpired();

    /**
     * @notice Invalid parameters
     */
    error InvalidParameters();

    /**************************************************************************/
    /* Events */
    /**************************************************************************/

    /**
     * @notice Emitted when currency is deposited
     * @param account Account
     * @param tick Tick
     * @param amount Amount of currency tokens
     * @param shares Amount of shares allocated
     */
    event Deposited(address indexed account, uint128 indexed tick, uint256 amount, uint256 shares);

    /**
     * @notice Emitted when deposit shares are redeemed
     * @param account Account
     * @param tick Tick
     * @param redemptionId Redemption ID
     * @param shares Amount of shares to be redeemed
     */
    event Redeemed(address indexed account, uint128 indexed tick, uint128 indexed redemptionId, uint256 shares);

    /**
     * @notice Emitted when redeemed currency tokens are withdrawn
     * @param account Account
     * @param tick Tick
     * @param redemptionId Redemption ID
     * @param shares Amount of shares redeemed
     * @param amount Amount of currency tokens withdrawn
     */
    event Withdrawn(
        address indexed account,
        uint128 indexed tick,
        uint128 indexed redemptionId,
        uint256 shares,
        uint256 amount
    );

    /**
     * @notice Emitted when deposit shares are transferred
     * @param from Source account
     * @param to Destination account
     * @param tick Tick
     * @param shares Amount of shares transferred
     */
    event Transferred(address indexed from, address indexed to, uint128 indexed tick, uint256 shares);

    /**
     * @notice Emitted when a loan is originated
     * @param loanReceiptHash Loan receipt hash
     * @param loanReceipt Loan receipt
     */
    event LoanOriginated(bytes32 indexed loanReceiptHash, bytes loanReceipt);

    /**
     * @notice Emitted when a loan is repaid
     * @param loanReceiptHash Loan receipt hash
     * @param repayment Repayment amount in currency tokens
     */
    event LoanRepaid(bytes32 indexed loanReceiptHash, uint256 repayment);

    /**
     * @notice Emitted when a loan is liquidated
     * @param loanReceiptHash Loan receipt hash
     */
    event LoanLiquidated(bytes32 indexed loanReceiptHash);

    /**
     * @notice Emitted when loan collateral is liquidated
     * @param loanReceiptHash Loan receipt hash
     * @param proceeds Total liquidation proceeds in currency tokens
     * @param borrowerProceeds Borrower's share of liquidation proceeds in
     * currency tokens
     */
    event CollateralLiquidated(bytes32 indexed loanReceiptHash, uint256 proceeds, uint256 borrowerProceeds);

    /**
     * @notice Emitted when admin fee rate is updated
     * @param rate New admin fee rate in basis points
     */
    event AdminFeeRateUpdated(uint256 rate);

    /**
     * @notice Emitted when admin fees are withdrawn
     * @param account Recipient account
     * @param amount Amount of currency tokens withdrawn
     */
    event AdminFeesWithdrawn(address indexed account, uint256 amount);

    /**************************************************************************/
    /* Getters */
    /**************************************************************************/

    /**
     * @notice Get currency token
     * @return Currency token contract
     */
    function currencyToken() external view returns (address);

    /**
     * @notice Get supported durations
     * @return List of loan durations in second
     */
    function durations() external view returns (uint64[] memory);

    /**
     * @notice Get supported rates
     * @return List of rates in interest per second
     */
    function rates() external view returns (uint64[] memory);

    /**
     * @notice Get admin
     * @return Admin
     */
    function admin() external view returns (address);

    /**
     * @notice Get admin fee rate
     * @return Admin fee rate in basis points
     */
    function adminFeeRate() external view returns (uint32);

    /**
     * @notice Get admin fee balance
     * @return Admin fee balance in currency tokens
     */
    function adminFeeBalance() external view returns (uint256);

    /**
     * @notice Get list of supported collateral wrappers
     * @return Collateral wrappers
     */
    function collateralWrappers() external view returns (address[] memory);

    /**
     * @notice Get collateral liquidator contract
     * @return Collateral liquidator contract
     */
    function collateralLiquidator() external view returns (address);

    /**
     * @notice Get delegation registry contract
     * @return Delegation registry contract
     */
    function delegationRegistry() external view returns (address);

    /**************************************************************************/
    /* Deposit API */
    /**************************************************************************/

    /**
     * @notice Deposit amount at tick
     *
     * Emits a {Deposited} event.
     *
     * @param tick Tick
     * @param amount Amount of currency tokens
     * @param minShares Minimum amount of shares to receive
     * @return shares Amount of shares minted
     */
    function deposit(uint128 tick, uint256 amount, uint256 minShares) external returns (uint256 shares);

    /**
     * @notice Redeem deposit shares for currency tokens. Currency tokens can
     * be withdrawn with the `withdraw()` method once the redemption is
     * processed.
     *
     * Emits a {Redeemed} event.
     *
     * @param tick Tick
     * @param shares Amount of deposit shares to redeem
     * @return redemptionId Redemption ID
     */
    function redeem(uint128 tick, uint256 shares) external returns (uint128 redemptionId);

    /**
     * @notice Get redemption available
     *
     * @param account Account
     * @param tick Tick
     * @param redemptionId Redemption ID
     * @return shares Amount of deposit shares available for redemption
     * @return amount Amount of currency tokens available for withdrawal
     * @return sharesAhead Amount of pending shares ahead in queue
     */
    function redemptionAvailable(
        address account,
        uint128 tick,
        uint128 redemptionId
    ) external view returns (uint256 shares, uint256 amount, uint256 sharesAhead);

    /**
     * @notice Withdraw a redemption that is available
     *
     * Emits a {Withdrawn} event.
     *
     * @param tick Tick
     * @param redemptionId Redemption ID
     * @return shares Amount of deposit shares burned
     * @return amount Amount of currency tokens withdrawn
     */
    function withdraw(uint128 tick, uint128 redemptionId) external returns (uint256 shares, uint256 amount);

    /**
     * @notice Rebalance a redemption that is available to a new tick
     *
     * Emits {Withdrawn} and {Deposited} events.
     *
     * @param srcTick Source tick
     * @param dstTick Destination Tick
     * @param redemptionId Redemption ID
     * @param minShares Minimum amount of destination shares to receive
     * @return oldShares Amount of source deposit shares burned
     * @return newShares Amount of destination deposit shares minted
     * @return amount Amount of currency tokens redeposited
     */
    function rebalance(
        uint128 srcTick,
        uint128 dstTick,
        uint128 redemptionId,
        uint256 minShares
    ) external returns (uint256 oldShares, uint256 newShares, uint256 amount);

    /**************************************************************************/
    /* Lend API */
    /**************************************************************************/

    /**
     * @notice Quote repayment for a loan
     * @param principal Principal amount in currency tokens
     * @param duration Duration in seconds
     * @param collateralToken Collateral token address
     * @param collateralTokenId Collateral token ID
     * @param ticks Liquidity ticks
     * @param options Encoded options
     * @return repayment Repayment amount in currency tokens
     */
    function quote(
        uint256 principal,
        uint64 duration,
        address collateralToken,
        uint256 collateralTokenId,
        uint128[] calldata ticks,
        bytes calldata options
    ) external view returns (uint256 repayment);

    /**
     * @notice Originate a loan
     *
     * Emits a {LoanOriginated} event.
     *
     * @param principal Principal amount in currency tokens
     * @param duration Duration in seconds
     * @param collateralToken Collateral token address
     * @param collateralTokenId Collateral token ID
     * @param maxRepayment Maximum repayment amount in currency tokens
     * @param ticks Liquidity ticks
     * @param options Encoded options
     * @return repayment Repayment amount in currency tokens
     */
    function borrow(
        uint256 principal,
        uint64 duration,
        address collateralToken,
        uint256 collateralTokenId,
        uint256 maxRepayment,
        uint128[] calldata ticks,
        bytes calldata options
    ) external returns (uint256 repayment);

    /**
     * @notice Repay a loan
     *
     * Emits a {LoanRepaid} event.
     *
     * @param encodedLoanReceipt Encoded loan receipt
     * @return repayment Repayment amount in currency tokens
     */
    function repay(bytes calldata encodedLoanReceipt) external returns (uint256 repayment);

    /**
     * @notice Refinance a loan
     *
     * Emits a {LoanRepaid} event and a {LoanOriginated} event.
     *
     * @param encodedLoanReceipt Encoded loan receipt
     * @param principal Principal amount in currency tokens
     * @param duration Duration in seconds
     * @param maxRepayment Maximum repayment amount in currency tokens
     * @param ticks Liquidity ticks
     * @return repayment Repayment amount in currency tokens
     */
    function refinance(
        bytes calldata encodedLoanReceipt,
        uint256 principal,
        uint64 duration,
        uint256 maxRepayment,
        uint128[] calldata ticks
    ) external returns (uint256 repayment);

    /**
     * @notice Liquidate an expired loan
     *
     * Emits a {LoanLiquidated} event.
     *
     * @param loanReceipt Loan receipt
     */
    function liquidate(bytes calldata loanReceipt) external;
}

// File: contracts/LiquidityLogic.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

import "@openzeppelin/contracts/utils/math/Math.sol";
import "@openzeppelin/contracts/utils/math/SafeCast.sol";

import "./interfaces/ILiquidity.sol";
import "./Tick.sol";

/**
 * @title Liquidity Logic
 * @author MetaStreet Labs
 */
library LiquidityLogic {
    using SafeCast for uint256;

    /**************************************************************************/
    /* Constants */
    /**************************************************************************/

    /**
     * @notice Tick limit spacing basis points (10%)
     */
    uint256 internal constant TICK_LIMIT_SPACING_BASIS_POINTS = 1000;

    /**
     * @notice Fixed point scale
     */
    uint256 internal constant FIXED_POINT_SCALE = 1e18;

    /**
     * @notice Basis points scale
     */
    uint256 internal constant BASIS_POINTS_SCALE = 10_000;

    /**
     * @notice Impaired price threshold (5%)
     */
    uint256 internal constant IMPAIRED_PRICE_THRESHOLD = 0.05 * 1e18;

    /**
     * @notice Max redemption queue scan count
     */
    uint256 private constant MAX_REDEMPTION_QUEUE_SCAN_COUNT = 150;

    /**************************************************************************/
    /* Structures */
    /**************************************************************************/

    /**
     * @notice Node source
     * @param tick Tick
     * @param used Amount used
     * @param pending Amount pending
     */
    struct NodeSource {
        uint128 tick;
        uint128 used;
        uint128 pending;
    }

    /**
     * @notice Fulfilled redemption
     * @param shares Shares redeemed
     * @param amount Amount redeemed
     */
    struct FulfilledRedemption {
        uint128 shares;
        uint128 amount;
    }

    /**
     * @notice Redemption state
     * @param pending Pending shares
     * @param index Current index
     * @param fulfilled Fulfilled redemptions
     */
    struct Redemptions {
        uint128 pending;
        uint128 index;
        mapping(uint128 => FulfilledRedemption) fulfilled;
    }

    /**
     * @notice Accrual state
     * @param accrued Accrued interest
     * @param rate Accrual rate
     * @param timestamp Last accrual timestamp
     */
    struct Accrual {
        uint128 accrued;
        uint64 rate;
        uint64 timestamp;
    }

    /**
     * @notice Liquidity node
     * @param value Liquidity value
     * @param shares Liquidity shares outstanding
     * @param available Liquidity available
     * @param pending Liquidity pending (with interest)
     * @param prev Previous liquidity node
     * @param next Next liquidity node
     * @param redemption Redemption state
     * @param accrual Accrual state
     */
    struct Node {
        uint128 value;
        uint128 shares;
        uint128 available;
        uint128 pending;
        uint128 prev;
        uint128 next;
        Redemptions redemptions;
        Accrual accrual;
    }

    /**
     * @notice Liquidity state
     * @param nodes Liquidity nodes
     */
    struct Liquidity {
        mapping(uint256 => Node) nodes;
    }

    /**************************************************************************/
    /* Getters */
    /**************************************************************************/

    /**
     * Get liquidity node at tick
     * @param liquidity Liquidity state
     * @param tick Tick
     * @return Liquidity node
     */
    function liquidityNode(Liquidity storage liquidity, uint128 tick) public view returns (ILiquidity.NodeInfo memory) {
        Node storage node = liquidity.nodes[tick];

        return
            ILiquidity.NodeInfo({
                tick: tick,
                value: node.value,
                shares: node.shares,
                available: node.available,
                pending: node.pending,
                redemptions: node.redemptions.pending,
                prev: node.prev,
                next: node.next
            });
    }

    /**
     * @notice Count liquidity nodes spanning [startTick, endTick] range, where
     * startTick is 0 or an instantiated tick
     * @param liquidity Liquidity state
     * @param startTick Start tick
     * @param endTick End tick
     * @return count Liquidity nodes count
     */
    function liquidityNodesCount(
        Liquidity storage liquidity,
        uint128 startTick,
        uint128 endTick
    ) public view returns (uint256 count) {
        /* Validate start tick has active liquidity */
        if (liquidity.nodes[startTick].next == 0) revert ILiquidity.InactiveLiquidity();

        /* Count nodes */
        uint256 t = startTick;
        while (t != type(uint128).max && t <= endTick) {
            t = liquidity.nodes[t].next;
            count++;
        }
    }

    /**
     * @notice Get liquidity nodes spanning [startTick, endTick] range, where
     * startTick is 0 or an instantiated tick
     * @param liquidity Liquidity state
     * @param startTick Start tick
     * @param endTick End tick
     * @return Liquidity nodes
     */
    function liquidityNodes(
        Liquidity storage liquidity,
        uint128 startTick,
        uint128 endTick
    ) external view returns (ILiquidity.NodeInfo[] memory) {
        ILiquidity.NodeInfo[] memory nodes = new ILiquidity.NodeInfo[](
            liquidityNodesCount(liquidity, startTick, endTick)
        );

        /* Populate nodes */
        uint256 i;
        uint128 t = startTick;
        while (t != type(uint128).max && t <= endTick) {
            nodes[i] = liquidityNode(liquidity, t);
            t = nodes[i++].next;
        }

        return nodes;
    }

    /**
     * @notice Get liquidity node with accrual info at tick
     * @param liquidity Liquidity state
     * @param tick Tick
     * @return Liquidity node, Accrual info
     */
    function liquidityNodeWithAccrual(
        Liquidity storage liquidity,
        uint128 tick
    ) external view returns (ILiquidity.NodeInfo memory, ILiquidity.AccrualInfo memory) {
        Node storage node = liquidity.nodes[tick];

        return (
            ILiquidity.NodeInfo({
                tick: tick,
                value: node.value,
                shares: node.shares,
                available: node.available,
                pending: node.pending,
                redemptions: node.redemptions.pending,
                prev: node.prev,
                next: node.next
            }),
            ILiquidity.AccrualInfo({
                accrued: node.accrual.accrued,
                rate: node.accrual.rate,
                timestamp: node.accrual.timestamp
            })
        );
    }

    /**
     * @notice Get redemption available amount
     * @param liquidity Liquidity state
     * @param tick Tick
     * @param pending Redemption pending
     * @param index Redemption index
     * @param target Redemption target
     * @return redeemedShares Redeemed shares
     * @return redeemedAmount Redeemed amount
     * @return processedIndices Processed indices
     * @return processedShares Processed shares
     */
    function redemptionAvailable(
        Liquidity storage liquidity,
        uint128 tick,
        uint128 pending,
        uint128 index,
        uint128 target
    )
        internal
        view
        returns (uint128 redeemedShares, uint128 redeemedAmount, uint128 processedIndices, uint128 processedShares)
    {
        Node storage node = liquidity.nodes[tick];

        uint256 stopIndex = index + MAX_REDEMPTION_QUEUE_SCAN_COUNT;

        for (; processedShares < target + pending && index < stopIndex; index++) {
            if (index == node.redemptions.index) {
                /* Reached pending unfulfilled redemption */
                break;
            }

            /* Look up the next fulfilled redemption */
            FulfilledRedemption storage redemption = node.redemptions.fulfilled[index];

            /* Update processed count */
            processedIndices += 1;
            processedShares += redemption.shares;

            if (processedShares <= target) {
                /* Have not reached the redemption queue position yet */
                continue;
            } else {
                /* Compute number of shares to redeem in range of this
                 * redemption batch */
                uint128 shares = (((processedShares > target + pending) ? pending : (processedShares - target))) -
                    redeemedShares;
                /* Compute price of shares in this redemption batch */
                uint256 price = (redemption.amount * FIXED_POINT_SCALE) / redemption.shares;

                /* Accumulate redeemed shares and corresponding amount */
                redeemedShares += shares;
                redeemedAmount += Math.mulDiv(shares, price, FIXED_POINT_SCALE).toUint128();
            }
        }
    }

    /**
     * @notice Get deposit share price
     * @param liquidity Liquidity state
     * @param tick Tick
     * @return Deposit share price
     */
    function depositSharePrice(Liquidity storage liquidity, uint128 tick) external view returns (uint256) {
        Node storage node = liquidity.nodes[tick];

        /* Simulate accrual */
        uint128 accrued = node.accrual.accrued + node.accrual.rate * uint128(block.timestamp - node.accrual.timestamp);

        /* Return deposit price */
        return
            node.shares == 0
                ? FIXED_POINT_SCALE
                : (Math.min(node.value + accrued, node.available + node.pending) * FIXED_POINT_SCALE) / node.shares;
    }

    /**
     * @notice Get redemption share price
     * @param liquidity Liquidity state
     * @param tick Tick
     * @return Redemption share price
     */
    function redemptionSharePrice(Liquidity storage liquidity, uint128 tick) external view returns (uint256) {
        Node storage node = liquidity.nodes[tick];

        /* Revert if node is empty */
        if (node.value == 0 || node.shares == 0) revert ILiquidity.InactiveLiquidity();

        /* Return redemption price */
        return (node.value * FIXED_POINT_SCALE) / node.shares;
    }

    /**************************************************************************/
    /* Internal Helpers */
    /**************************************************************************/

    /**
     * @dev Check if tick is reserved
     * @param tick Tick
     * @return True if reserved, otherwise false
     */
    function _isReserved(uint128 tick) internal pure returns (bool) {
        return tick == 0 || tick == type(uint128).max;
    }

    /**
     * @dev Check if liquidity node is empty
     * @param node Liquidity node
     * @return True if empty, otherwise false
     */
    function _isEmpty(Node storage node) internal view returns (bool) {
        return node.shares == 0 && node.pending == 0;
    }

    /**
     * @dev Check if liquidity node is active
     * @param node Liquidity node
     * @return True if active, otherwise false
     */
    function _isActive(Node storage node) internal view returns (bool) {
        return node.prev != 0 || node.next != 0;
    }

    /**
     * @dev Check if liquidity node is impaired
     * @param node Liquidity node
     * @return True if impaired, otherwise false
     */
    function _isImpaired(Node storage node) internal view returns (bool) {
        /* If there's shares, but insufficient value for a stable share price */
        return node.shares != 0 && node.value * FIXED_POINT_SCALE < node.shares * IMPAIRED_PRICE_THRESHOLD;
    }

    /**
     * @notice Instantiate liquidity
     * @param liquidity Liquidity state
     * @param tick Tick
     */
    function _instantiate(Liquidity storage liquidity, Node storage node, uint128 tick) internal {
        /* If node is active, do nothing */
        if (_isActive(node)) return;
        /* If node is inactive and not empty, revert */
        if (!_isEmpty(node)) revert ILiquidity.InactiveLiquidity();

        /* Find prior node to new tick */
        uint128 prevTick;
        Node storage prevNode = liquidity.nodes[prevTick];
        while (prevNode.next < tick) {
            prevTick = prevNode.next;
            prevNode = liquidity.nodes[prevTick];
        }

        /* Decode limits from previous tick, new tick, and next tick */
        (uint256 prevLimit, , , ) = Tick.decode(prevTick);
        (uint256 newLimit, , , ) = Tick.decode(tick);
        (uint256 nextLimit, , , ) = Tick.decode(prevNode.next);

        /* Validate tick limit spacing */
        if (
            newLimit != prevLimit &&
            newLimit < (prevLimit * (BASIS_POINTS_SCALE + TICK_LIMIT_SPACING_BASIS_POINTS)) / BASIS_POINTS_SCALE
        ) revert ILiquidity.InsufficientTickSpacing();
        if (
            newLimit != nextLimit &&
            nextLimit < (newLimit * (BASIS_POINTS_SCALE + TICK_LIMIT_SPACING_BASIS_POINTS)) / BASIS_POINTS_SCALE
        ) revert ILiquidity.InsufficientTickSpacing();

        /* Link new node */
        node.prev = prevTick;
        node.next = prevNode.next;
        liquidity.nodes[prevNode.next].prev = tick;
        prevNode.next = tick;
    }

    /**
     * @dev Garbage collect an impaired or empty node, unlinking it from active
     * liquidity
     * @param liquidity Liquidity state
     * @param node Liquidity node
     */
    function _garbageCollect(Liquidity storage liquidity, Node storage node) internal {
        /* If node is not impaired and not empty, or already inactive, do nothing */
        if ((!_isImpaired(node) && !_isEmpty(node)) || !_isActive(node)) return;

        /* Make node inactive by unlinking it */
        liquidity.nodes[node.prev].next = node.next;
        liquidity.nodes[node.next].prev = node.prev;
        node.next = 0;
        node.prev = 0;
    }

    /**
     * @notice Process redemptions from available liquidity
     * @param liquidity Liquidity state
     * @param node Liquidity node
     */
    function _processRedemptions(Liquidity storage liquidity, Node storage node) internal {
        /* If there's no pending shares to redeem */
        if (node.redemptions.pending == 0) return;

        /* Compute redemption price */
        uint256 price = (node.value * FIXED_POINT_SCALE) / node.shares;

        if (price == 0) {
            /* If node has pending interest */
            if (node.pending != 0) return;

            /* If node is insolvent, redeem all shares for zero amount */
            uint128 shares = node.redemptions.pending;

            /* Record fulfilled redemption */
            node.redemptions.fulfilled[node.redemptions.index++] = FulfilledRedemption({shares: shares, amount: 0});

            /* Update node state */
            node.shares -= shares;
            node.value = 0;
            node.available = 0;
            node.redemptions.pending = 0;

            return;
        } else {
            /* Node is solvent */

            /* If there's no cash to redeem from */
            if (node.available == 0) return;

            /* Redeem as many shares as possible and pending from available cash */
            uint128 shares = uint128(Math.min((node.available * FIXED_POINT_SCALE) / price, node.redemptions.pending));
            uint128 amount = Math.mulDiv(shares, price, FIXED_POINT_SCALE).toUint128();

            /* If there's insufficient cash to redeem non-zero pending shares
             * at current price */
            if (shares == 0) return;

            /* Record fulfilled redemption */
            node.redemptions.fulfilled[node.redemptions.index++] = FulfilledRedemption({
                shares: shares,
                amount: amount
            });

            /* Update node state */
            node.shares -= shares;
            node.value -= amount;
            node.available -= amount;
            node.redemptions.pending -= shares;

            /* Garbage collect node if it is now empty */
            _garbageCollect(liquidity, node);

            return;
        }
    }

    /**
     * @notice Process accrued value from accrual rate and timestamp
     * @param node Liquidity node
     */
    function _accrue(Node storage node) internal {
        node.accrual.accrued += node.accrual.rate * uint128(block.timestamp - node.accrual.timestamp);
        node.accrual.timestamp = uint64(block.timestamp);
    }

    /**************************************************************************/
    /* Primary API */
    /**************************************************************************/

    /**
     * @notice Initialize liquidity state
     * @param liquidity Liquidity state
     */
    function initialize(Liquidity storage liquidity) internal {
        /* Liquidity state defaults to zero, but need to make head and tail nodes */
        liquidity.nodes[0].next = type(uint128).max;
        /* liquidity.nodes[type(uint128).max].prev = 0 by default */
    }

    /**
     * @notice Deposit liquidity
     * @param liquidity Liquidity state
     * @param tick Tick
     * @param amount Amount
     * @return Number of shares
     */
    function deposit(Liquidity storage liquidity, uint128 tick, uint128 amount) internal returns (uint128) {
        Node storage node = liquidity.nodes[tick];

        /* If tick is reserved */
        if (_isReserved(tick)) revert ILiquidity.InactiveLiquidity();

        /* Instantiate node, if necessary */
        _instantiate(liquidity, node, tick);

        /* Process accrual */
        _accrue(node);

        /* Compute deposit price */
        uint256 price = node.shares == 0
            ? FIXED_POINT_SCALE
            : (Math.min(node.value + node.accrual.accrued, node.available + node.pending) * FIXED_POINT_SCALE) /
                node.shares;

        /* Compute shares */
        uint128 shares = ((amount * FIXED_POINT_SCALE) / price).toUint128();

        node.value += amount;
        node.shares += shares;
        node.available += amount;

        /* Process any pending redemptions from available cash */
        _processRedemptions(liquidity, node);

        return shares;
    }

    /**
     * @notice Use liquidity from node
     * @param liquidity Liquidity state
     * @param tick Tick
     * @param used Used amount
     * @param pending Pending amount
     * @param duration Duration
     */
    function use(Liquidity storage liquidity, uint128 tick, uint128 used, uint128 pending, uint64 duration) internal {
        Node storage node = liquidity.nodes[tick];

        node.available -= used;
        node.pending += pending;

        /* Process accrual */
        _accrue(node);
        /* Increment accrual rate */
        uint256 rate = uint256(pending - used) / duration;
        node.accrual.rate += rate.toUint64();
    }

    /**
     * @notice Restore liquidity and process pending redemptions
     * @param liquidity Liquidity state
     * @param tick Tick
     * @param used Used amount
     * @param pending Pending amount
     * @param restored Restored amount
     * @param duration Duration
     * @param elapsed Elapsed time since loan origination
     */
    function restore(
        Liquidity storage liquidity,
        uint128 tick,
        uint128 used,
        uint128 pending,
        uint128 restored,
        uint64 duration,
        uint64 elapsed
    ) internal {
        Node storage node = liquidity.nodes[tick];

        node.value = node.value - used + restored;
        node.available += restored;
        node.pending -= pending;

        /* Garbage collect node if it is now impaired */
        _garbageCollect(liquidity, node);

        /* Process any pending redemptions */
        _processRedemptions(liquidity, node);

        /* Process accrual */
        _accrue(node);
        /* Decrement accrual rate and accrued */
        uint256 rate = uint256(pending - used) / duration;
        node.accrual.rate -= rate.toUint64();
        node.accrual.accrued -= uint128(rate * elapsed);
    }

    /**
     * @notice Redeem liquidity
     * @param liquidity Liquidity state
     * @param tick Tick
     * @param shares Shares
     * @return Redemption index, Redemption target
     */
    function redeem(Liquidity storage liquidity, uint128 tick, uint128 shares) internal returns (uint128, uint128) {
        Node storage node = liquidity.nodes[tick];

        /* Redemption from inactive liquidity nodes is allowed to facilitate
         * restoring garbage collected nodes */

        /* Snapshot redemption target */
        uint128 redemptionIndex = node.redemptions.index;
        uint128 redemptionTarget = node.redemptions.pending;

        /* Add shares to pending redemptions */
        node.redemptions.pending += shares;

        /* Initialize redemption record to save gas in loan callbacks */
        if (node.redemptions.fulfilled[redemptionIndex].shares != type(uint128).max) {
            node.redemptions.fulfilled[redemptionIndex] = FulfilledRedemption({shares: type(uint128).max, amount: 0});
        }

        /* Process any pending redemptions from available cash */
        _processRedemptions(liquidity, node);

        return (redemptionIndex, redemptionTarget);
    }

    /**
     * @notice Source liquidity from nodes
     * @param liquidity Liquidity state
     * @param amount Amount
     * @param ticks Ticks to source from
     * @param multiplier Multiplier for amount
     * @param durationIndex Duration index for amount
     * @return Sourced liquidity nodes, count of nodes
     */
    function source(
        Liquidity storage liquidity,
        uint256 amount,
        uint128[] calldata ticks,
        uint256 multiplier,
        uint256 durationIndex
    ) internal view returns (NodeSource[] memory, uint16) {
        NodeSource[] memory sources = new NodeSource[](ticks.length);

        uint256 prevTick;
        uint256 taken;
        uint256 count;
        for (; count < ticks.length && taken != amount; count++) {
            uint128 tick = ticks[count];

            /* Validate tick and decode limit */
            uint256 limit = Tick.validate(tick, prevTick, durationIndex);

            /* Look up liquidity node */
            Node storage node = liquidity.nodes[tick];

            /* Consume as much as possible up to the tick limit, amount available, and amount remaining */
            uint128 take = uint128(Math.min(Math.min(limit * multiplier - taken, node.available), amount - taken));

            /* Record the liquidity allocation in our sources list */
            sources[count] = NodeSource({tick: tick, used: take, pending: 0});

            taken += take;
            prevTick = tick;
        }

        /* If unable to source required liquidity amount from provided ticks */
        if (taken < amount) revert ILiquidity.InsufficientLiquidity();

        return (sources, count.toUint16());
    }
}

// File: contracts/LoanReceipt.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

/**
 * @title LoanReceipt
 * @author MetaStreet Labs
 */
library LoanReceipt {
    /**************************************************************************/
    /* Errors */
    /**************************************************************************/

    /**
     * @notice Invalid receipt encoding
     */
    error InvalidReceiptEncoding();

    /**************************************************************************/
    /* Constants */
    /**************************************************************************/

    /**
     * @notice Loan receipt version
     */
    uint8 internal constant LOAN_RECEIPT_VERSION = 2;

    /**
     * @notice Loan receipt header size in bytes
     * @dev Header excludes borrow options byte array
     */
    uint256 internal constant LOAN_RECEIPT_HEADER_SIZE = 187;

    /**
     * @notice Loan receipt node receipt size in bytes
     */
    uint256 internal constant LOAN_RECEIPT_NODE_RECEIPT_SIZE = 48;

    /**************************************************************************/
    /* Structures */
    /**************************************************************************/

    /**
     * @notice LoanReceiptV2
     * @param version Version (2)
     * @param principal Principal amount in currency tokens
     * @param repayment Repayment amount in currency tokens
     * @param adminFee Admin fee amount in currency tokens
     * @param borrower Borrower
     * @param maturity Loan maturity timestamp
     * @param duration Loan duration
     * @param collateralToken Collateral token
     * @param collateralTokenId Collateral token ID
     * @param collateralWrapperContextLen Collateral wrapper context length
     * @param collateralWrapperContext Collateral wrapper context data
     * @param nodeReceipts Node receipts
     */
    struct LoanReceiptV2 {
        uint8 version;
        uint256 principal;
        uint256 repayment;
        uint256 adminFee;
        address borrower;
        uint64 maturity;
        uint64 duration;
        address collateralToken;
        uint256 collateralTokenId;
        uint16 collateralWrapperContextLen;
        bytes collateralWrapperContext;
        NodeReceipt[] nodeReceipts;
    }

    /**
     * @notice Node receipt
     * @param tick Tick
     * @param used Used amount
     * @param pending Pending amount
     */
    struct NodeReceipt {
        uint128 tick;
        uint128 used;
        uint128 pending;
    }

    /**************************************************************************/
    /* Tightly packed format */
    /**************************************************************************/

    /*
      Header (187 bytes)
          1   uint8   version                        0:1
          32  uint256 principal                      1:33
          32  uint256 repayment                      33:65
          32  uint256 adminFee                       65:97
          20  address borrower                       97:117
          8   uint64  maturity                       117:125
          8   uint64  duration                       125:133
          20  address collateralToken                133:153
          32  uint256 collateralTokenId              153:185
          2   uint16  collateralWrapperContextLen    185:187

      Collateral Wrapper Context Data (M bytes)      187:---

      Node Receipts (48 * N bytes)
          N   NodeReceipts[] nodeReceipts
              16  uint128 tick
              16  uint128 used
              16  uint128 pending
    */

    /**************************************************************************/
    /* API */
    /**************************************************************************/

    /**
     * @dev Compute loan receipt hash
     * @param encodedReceipt Encoded loan receipt
     * @return Loan Receipt hash
     */
    function hash(bytes memory encodedReceipt) internal view returns (bytes32) {
        /* Take hash of chain ID (32 bytes) concatenated with encoded loan receipt */
        return keccak256(abi.encodePacked(block.chainid, encodedReceipt));
    }

    /**
     * @dev Encode a loan receipt into bytes
     * @param receipt Loan Receipt
     * @return Encoded loan receipt
     */
    function encode(LoanReceiptV2 memory receipt) internal pure returns (bytes memory) {
        /* Encode header */
        bytes memory header = abi.encodePacked(
            receipt.version,
            receipt.principal,
            receipt.repayment,
            receipt.adminFee,
            receipt.borrower,
            receipt.maturity,
            receipt.duration,
            receipt.collateralToken,
            receipt.collateralTokenId,
            receipt.collateralWrapperContextLen,
            receipt.collateralWrapperContext
        );

        /* Encode node receipts */
        bytes memory nodeReceipts;
        for (uint256 i; i < receipt.nodeReceipts.length; i++) {
            nodeReceipts = abi.encodePacked(
                nodeReceipts,
                receipt.nodeReceipts[i].tick,
                receipt.nodeReceipts[i].used,
                receipt.nodeReceipts[i].pending
            );
        }

        return abi.encodePacked(header, nodeReceipts);
    }

    /**
     * @dev Decode a loan receipt from bytes
     * @param encodedReceipt Encoded loan Receipt
     * @return Decoded loan receipt
     */
    function decode(bytes calldata encodedReceipt) internal pure returns (LoanReceiptV2 memory) {
        /* Validate encoded receipt length */
        if (encodedReceipt.length < LOAN_RECEIPT_HEADER_SIZE) revert InvalidReceiptEncoding();

        uint256 collateralWrapperContextLen = uint16(bytes2(encodedReceipt[185:187]));

        /* Validate length with collateral wrapper context */
        if (encodedReceipt.length < LOAN_RECEIPT_HEADER_SIZE + collateralWrapperContextLen)
            revert InvalidReceiptEncoding();

        /* Validate length with node receipts */
        if (
            (encodedReceipt.length - LOAN_RECEIPT_HEADER_SIZE - collateralWrapperContextLen) %
                LOAN_RECEIPT_NODE_RECEIPT_SIZE !=
            0
        ) revert InvalidReceiptEncoding();

        /* Validate encoded receipt version */
        if (uint8(encodedReceipt[0]) != LOAN_RECEIPT_VERSION) revert InvalidReceiptEncoding();

        LoanReceiptV2 memory receipt;

        /* Decode header */
        receipt.version = uint8(encodedReceipt[0]);
        receipt.principal = uint256(bytes32(encodedReceipt[1:33]));
        receipt.repayment = uint256(bytes32(encodedReceipt[33:65]));
        receipt.adminFee = uint256(bytes32(encodedReceipt[65:97]));
        receipt.borrower = address(uint160(bytes20(encodedReceipt[97:117])));
        receipt.maturity = uint64(bytes8(encodedReceipt[117:125]));
        receipt.duration = uint64(bytes8(encodedReceipt[125:133]));
        receipt.collateralToken = address(uint160(bytes20(encodedReceipt[133:153])));
        receipt.collateralTokenId = uint256(bytes32(encodedReceipt[153:185]));
        receipt.collateralWrapperContextLen = uint16(collateralWrapperContextLen);
        receipt.collateralWrapperContext = encodedReceipt[187:187 + collateralWrapperContextLen];

        /* Decode node receipts */
        uint256 numNodeReceipts = (encodedReceipt.length - LOAN_RECEIPT_HEADER_SIZE - collateralWrapperContextLen) /
            LOAN_RECEIPT_NODE_RECEIPT_SIZE;
        receipt.nodeReceipts = new NodeReceipt[](numNodeReceipts);
        uint256 offset = LOAN_RECEIPT_HEADER_SIZE + collateralWrapperContextLen;
        for (uint256 i; i < numNodeReceipts; i++) {
            receipt.nodeReceipts[i].tick = uint128(bytes16(encodedReceipt[offset:offset + 16]));
            receipt.nodeReceipts[i].used = uint128(bytes16(encodedReceipt[offset + 16:offset + 32]));
            receipt.nodeReceipts[i].pending = uint128(bytes16(encodedReceipt[offset + 32:offset + 48]));
            offset += LOAN_RECEIPT_NODE_RECEIPT_SIZE;
        }

        return receipt;
    }
}

// File: contracts/Pool.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

import "@openzeppelin/contracts/security/ReentrancyGuard.sol";
import "@openzeppelin/contracts/utils/introspection/ERC165.sol";
import "@openzeppelin/contracts/utils/Multicall.sol";
import "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import "@openzeppelin/contracts/token/ERC721/IERC721.sol";
import "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";
import "@openzeppelin/contracts/utils/math/SafeCast.sol";

import "./filters/CollateralFilter.sol";
import "./rates/InterestRateModel.sol";
import "./tokenization/DepositToken.sol";

import "./LoanReceipt.sol";
import "./LiquidityLogic.sol";
import "./DepositLogic.sol";
import "./BorrowLogic.sol";

import "./interfaces/IPool.sol";
import "./interfaces/ILiquidity.sol";
import "./interfaces/ICollateralWrapper.sol";
import "./interfaces/ICollateralLiquidator.sol";
import "./interfaces/ICollateralLiquidationReceiver.sol";

import "./integrations/DelegateCash/IDelegationRegistry.sol";

/**
 * @title Pool
 * @author MetaStreet Labs
 */
abstract contract Pool is
    ERC165,
    ReentrancyGuard,
    Multicall,
    CollateralFilter,
    InterestRateModel,
    DepositToken,
    IPool,
    ILiquidity,
    ICollateralLiquidationReceiver
{
    using SafeCast for uint256;
    using SafeERC20 for IERC20;
    using LiquidityLogic for LiquidityLogic.Liquidity;

    /**************************************************************************/
    /* Constants */
    /**************************************************************************/

    /**
     * @notice Tick spacing basis points
     */
    uint256 public constant TICK_LIMIT_SPACING_BASIS_POINTS = LiquidityLogic.TICK_LIMIT_SPACING_BASIS_POINTS;

    /**
     * @notice Borrower's split of liquidation proceed surplus in basis points
     */
    uint256 public constant BORROWER_SURPLUS_SPLIT_BASIS_POINTS = BorrowLogic.BORROWER_SURPLUS_SPLIT_BASIS_POINTS;

    /**************************************************************************/
    /* Structures */
    /**************************************************************************/

    /**
     * @notice Redemption
     * @param pending Redemption shares pending
     * @param index Redemption queue index
     * @param target Redemption queue target
     */
    struct Redemption {
        uint128 pending;
        uint128 index;
        uint128 target;
    }

    /**
     * @notice Deposit
     * @param shares Shares
     * @param redemptionId Next Redemption ID
     * @param redemptions Mapping of redemption ID to redemption
     */
    struct Deposit {
        uint128 shares;
        uint128 redemptionId;
        mapping(uint128 => Redemption) redemptions;
    }

    /**
     * @notice Loan status
     */
    enum LoanStatus {
        Uninitialized,
        Active,
        Repaid,
        Liquidated,
        CollateralLiquidated
    }

    /**
     * @notice Borrow function options
     */
    enum BorrowOptions {
        None,
        CollateralWrapperContext,
        CollateralFilterContext,
        DelegateCash
    }

    /**************************************************************************/
    /* Immutable State */
    /**************************************************************************/

    /**
     * @notice Collateral wrappers (max 3)
     */
    address internal immutable _collateralWrapper1;
    address internal immutable _collateralWrapper2;
    address internal immutable _collateralWrapper3;

    /**
     * @notice Collateral liquidator
     */
    ICollateralLiquidator internal immutable _collateralLiquidator;

    /**
     * @notice Delegation registry contract
     */
    IDelegationRegistry internal immutable _delegationRegistry;

    /**************************************************************************/
    /* State */
    /**************************************************************************/

    /**
     * @notice Pool Storage
     * @param currencyToken Currency token contract
     * @param adminFeeRate Admin free rate in basis points
     * @param durations Durations
     * @param rates Rates
     * @param admin Admin
     * @param adminFeeBalance Admin fee balance
     * @param liquidity Liquidity
     * @param deposits Mapping of account to tick to deposit
     * @param loans Mapping of loan receipt hash to loan status
     */
    struct PoolStorage {
        IERC20 currencyToken;
        uint32 adminFeeRate;
        uint64[] durations;
        uint64[] rates;
        address admin;
        uint256 adminFeeBalance;
        LiquidityLogic.Liquidity liquidity;
        mapping(address => mapping(uint128 => Deposit)) deposits;
        mapping(bytes32 => LoanStatus) loans;
    }

    /**
     * @notice Pool state
     */
    PoolStorage internal _storage;

    /**************************************************************************/
    /* Constructor */
    /**************************************************************************/

    /**
     * @notice Pool constructor
     * @param collateralLiquidator_ Collateral liquidator
     * @param delegationRegistry_ Delegation registry contract
     * @param collateralWrappers_ Collateral wrappers
     */
    constructor(address collateralLiquidator_, address delegationRegistry_, address[] memory collateralWrappers_) {
        if (collateralWrappers_.length > 3) revert InvalidParameters();

        _collateralLiquidator = ICollateralLiquidator(collateralLiquidator_);
        _delegationRegistry = IDelegationRegistry(delegationRegistry_);
        _collateralWrapper1 = (collateralWrappers_.length > 0) ? collateralWrappers_[0] : address(0);
        _collateralWrapper2 = (collateralWrappers_.length > 1) ? collateralWrappers_[1] : address(0);
        _collateralWrapper3 = (collateralWrappers_.length > 2) ? collateralWrappers_[2] : address(0);
    }

    /**************************************************************************/
    /* Initializer */
    /**************************************************************************/

    /**
     * @notice Pool initializer
     * @dev Fee-on-transfer currency tokens are not supported
     * @param currencyToken_ Currency token contract
     * @param durations_ Duration tiers
     * @param rates_ Interest rate tiers
     */
    function _initialize(address currencyToken_, uint64[] memory durations_, uint64[] memory rates_) internal {
        if (IERC20Metadata(currencyToken_).decimals() != 18) revert InvalidParameters();

        _storage.currencyToken = IERC20(currencyToken_);
        _storage.admin = msg.sender;

        /* Assign durations */
        if (durations_.length > Tick.MAX_NUM_DURATIONS) revert InvalidParameters();
        for (uint256 i; i < durations_.length; i++) {
            /* Check duration is monotonic */
            if (i != 0 && durations_[i] >= durations_[i - 1]) revert InvalidParameters();
            _storage.durations.push(durations_[i]);
        }

        /* Assign rates */
        if (rates_.length > Tick.MAX_NUM_RATES) revert InvalidParameters();
        for (uint256 i; i < rates_.length; i++) {
            /* Check rate is monotonic */
            if (i != 0 && rates_[i] <= rates_[i - 1]) revert InvalidParameters();
            _storage.rates.push(rates_[i]);
        }

        /* Initialize liquidity */
        _storage.liquidity.initialize();
    }

    /**************************************************************************/
    /* Getters */
    /**************************************************************************/

    /**
     * @notice Get implementation name
     * @return Implementation name
     */
    function IMPLEMENTATION_NAME() external pure virtual returns (string memory);

    /**
     * @notice Get implementation version
     * @return Implementation version
     */
    function IMPLEMENTATION_VERSION() external pure returns (string memory) {
        return "2.3";
    }

    /**
     * @inheritdoc IPool
     */
    function currencyToken() external view returns (address) {
        return address(_storage.currencyToken);
    }

    /**
     * @inheritdoc IPool
     */
    function durations() external view returns (uint64[] memory) {
        return _storage.durations;
    }

    /**
     * @inheritdoc IPool
     */
    function rates() external view returns (uint64[] memory) {
        return _storage.rates;
    }

    /**
     * @inheritdoc IPool
     */
    function admin() external view returns (address) {
        return _storage.admin;
    }

    /**
     * @inheritdoc IPool
     */
    function adminFeeRate() external view returns (uint32) {
        return _storage.adminFeeRate;
    }

    /**
     * @inheritdoc IPool
     */
    function adminFeeBalance() external view returns (uint256) {
        return _storage.adminFeeBalance;
    }

    /**
     * @inheritdoc IPool
     */
    function collateralWrappers() external view returns (address[] memory) {
        address[] memory collateralWrappers_ = new address[](3);
        collateralWrappers_[0] = _collateralWrapper1;
        collateralWrappers_[1] = _collateralWrapper2;
        collateralWrappers_[2] = _collateralWrapper3;
        return collateralWrappers_;
    }

    /**
     * @inheritdoc IPool
     */
    function collateralLiquidator() external view returns (address) {
        return address(_collateralLiquidator);
    }

    /**
     * @inheritdoc IPool
     */
    function delegationRegistry() external view returns (address) {
        return address(_delegationRegistry);
    }

    /**
     * @notice Get deposit
     * @param account Account
     * @param tick Tick
     * @return shares Shares
     * @return redemptionId Redemption ID
     */
    function deposits(address account, uint128 tick) external view returns (uint128 shares, uint128 redemptionId) {
        shares = _storage.deposits[account][tick].shares;
        redemptionId = _storage.deposits[account][tick].redemptionId;
    }

    /**
     * @notice Get redemption
     * @param account Account
     * @param tick Tick
     * @param redemptionId Redemption ID
     * @return Redemption
     */
    function redemptions(
        address account,
        uint128 tick,
        uint128 redemptionId
    ) external view returns (Redemption memory) {
        return _storage.deposits[account][tick].redemptions[redemptionId];
    }

    /**
     * @notice Get loan status
     * @param receiptHash Loan receipt hash
     * @return Loan status
     */
    function loans(bytes32 receiptHash) external view returns (LoanStatus) {
        return _storage.loans[receiptHash];
    }

    /**
     * @inheritdoc ILiquidity
     */
    function liquidityNodes(uint128 startTick, uint128 endTick) external view returns (NodeInfo[] memory) {
        return _storage.liquidity.liquidityNodes(startTick, endTick);
    }

    /**
     * @inheritdoc ILiquidity
     */
    function liquidityNode(uint128 tick) external view returns (NodeInfo memory) {
        return _storage.liquidity.liquidityNode(tick);
    }

    /**
     * @inheritdoc ILiquidity
     */
    function liquidityNodeWithAccrual(uint128 tick) external view returns (NodeInfo memory, AccrualInfo memory) {
        return _storage.liquidity.liquidityNodeWithAccrual(tick);
    }

    /**
     * @inheritdoc ILiquidity
     */
    function depositSharePrice(uint128 tick) external view returns (uint256) {
        return _storage.liquidity.depositSharePrice(tick);
    }

    /**
     * @inheritdoc ILiquidity
     */
    function redemptionSharePrice(uint128 tick) external view returns (uint256) {
        return _storage.liquidity.redemptionSharePrice(tick);
    }

    /**************************************************************************/
    /* Loan Receipt External Helpers */
    /**************************************************************************/

    /**
     * @notice Decode loan receipt
     * @param loanReceipt Loan receipt
     * @return Decoded loan receipt
     */
    function decodeLoanReceipt(bytes calldata loanReceipt) external pure returns (LoanReceipt.LoanReceiptV2 memory) {
        return LoanReceipt.decode(loanReceipt);
    }

    /**************************************************************************/
    /* Helper Functions */
    /**************************************************************************/

    /**
     * @notice Helper function that returns underlying collateral in (address,
     * uint256[], uint256) shape
     * @param collateralToken Collateral token, either underlying token or collateral wrapper
     * @param collateralTokenId Collateral token ID
     * @param collateralWrapperContext Collateral wrapper context
     * @return token Underlying collateral token
     * @return tokenIds Underlying collateral token IDs (unique)
     * @return tokenCount Underlying total token count
     */
    function _getUnderlyingCollateral(
        address collateralToken,
        uint256 collateralTokenId,
        bytes memory collateralWrapperContext
    ) internal view returns (address token, uint256[] memory tokenIds, uint256 tokenCount) {
        /* Enumerate if collateral token is a collateral wrapper */
        if (
            collateralToken == _collateralWrapper1 ||
            collateralToken == _collateralWrapper2 ||
            collateralToken == _collateralWrapper3
        ) {
            (token, tokenIds) = ICollateralWrapper(collateralToken).enumerate(
                collateralTokenId,
                collateralWrapperContext
            );
            tokenCount = ICollateralWrapper(collateralToken).count(collateralTokenId, collateralWrapperContext);
            return (token, tokenIds, tokenCount);
        }

        /* If single asset, convert to length one token ID array */
        token = collateralToken;
        tokenIds = new uint256[](1);
        tokenIds[0] = collateralTokenId;
        tokenCount = 1;
    }

    /**
     * @notice Helper function that calls delegate.cash registry to delegate
     * token
     * @param collateralToken Collateral token
     * @param collateralTokenId Collateral token ID
     * @param options Options data
     */
    function _optionDelegateCash(address collateralToken, uint256 collateralTokenId, bytes calldata options) internal {
        /* Find delegate.cash tagged data in options */
        bytes calldata delegateData = BorrowLogic._getOptionsData(options, BorrowOptions.DelegateCash);

        if (delegateData.length != 0) {
            if (address(_delegationRegistry) == address(0)) revert InvalidBorrowOptions();
            if (delegateData.length != 20) revert InvalidBorrowOptions();

            /* Delegate token */
            _delegationRegistry.delegateForToken(
                address(uint160(bytes20(delegateData))),
                collateralToken,
                collateralTokenId,
                true
            );
        }
    }

    /**
     * @dev Helper function to revoke token delegate
     * @param collateralToken Contract address of token that delegation is being removed from
     * @param collateralTokenId Token id of token that delegation is being removed from
     */
    function _revokeDelegates(address collateralToken, uint256 collateralTokenId) internal {
        /* No operation if _delegationRegistry not set */
        if (address(_delegationRegistry) == address(0)) return;

        /* Get delegates for collateral token and id */
        address[] memory delegates = _delegationRegistry.getDelegatesForToken(
            address(this),
            collateralToken,
            collateralTokenId
        );

        for (uint256 i; i < delegates.length; i++) {
            /* Revoke by setting value to false */
            _delegationRegistry.delegateForToken(delegates[i], collateralToken, collateralTokenId, false);
        }
    }

    /**
     * @dev Helper function to quote a loan
     * @param principal Principal amount in currency tokens
     * @param duration Duration in seconds
     * @param collateralToken Collateral token address
     * @param collateralTokenId Collateral token ID
     * @param ticks Liquidity node ticks
     * @param collateralWrapperContext Collateral wrapper context
     * @param collateralFilterContext Collateral filter context
     * @param isRefinance True if called by refinance()
     * @return Repayment amount in currency tokens, admin fee in currency
     * tokens, liquidity nodes, liquidity node count
     */
    function _quote(
        uint256 principal,
        uint64 duration,
        address collateralToken,
        uint256 collateralTokenId,
        uint128[] calldata ticks,
        bytes memory collateralWrapperContext,
        bytes calldata collateralFilterContext,
        bool isRefinance
    ) internal view returns (uint256, uint256, LiquidityLogic.NodeSource[] memory, uint16) {
        /* Get underlying collateral */
        (
            address underlyingCollateralToken,
            uint256[] memory underlyingCollateralTokenIds,
            uint256 underlyingCollateralTokenCount
        ) = _getUnderlyingCollateral(collateralToken, collateralTokenId, collateralWrapperContext);

        /* Verify collateral is supported */
        if (!isRefinance) {
            for (uint256 i; i < underlyingCollateralTokenIds.length; i++) {
                if (
                    !_collateralSupported(
                        underlyingCollateralToken,
                        underlyingCollateralTokenIds[i],
                        i,
                        collateralFilterContext
                    )
                ) revert UnsupportedCollateral(i);
            }
        }

        /* Cache durations */
        uint64[] memory durations_ = _storage.durations;

        /* Validate duration */
        if (duration > durations_[0]) revert UnsupportedLoanDuration();

        /* Lookup duration index */
        uint256 durationIndex = durations_.length - 1;
        for (; durationIndex > 0; durationIndex--) {
            if (duration <= durations_[durationIndex]) break;
        }

        /* Source liquidity nodes */
        (LiquidityLogic.NodeSource[] memory nodes, uint16 count) = _storage.liquidity.source(
            principal,
            ticks,
            underlyingCollateralTokenCount,
            durationIndex
        );

        /* Calculate repayment from principal, rate, and duration */
        uint256 repayment = (principal *
            (LiquidityLogic.FIXED_POINT_SCALE + (_rate(principal, _storage.rates, nodes, count) * duration))) /
            LiquidityLogic.FIXED_POINT_SCALE;

        /* Compute total fee */
        uint256 totalFee = repayment - principal;

        /* Compute admin fee */
        uint256 adminFee = (_storage.adminFeeRate * totalFee) / LiquidityLogic.BASIS_POINTS_SCALE;

        /* Distribute interest */
        _distribute(principal, totalFee - adminFee, nodes, count);

        return (repayment, adminFee, nodes, count);
    }

    /**************************************************************************/
    /* Lend API */
    /**************************************************************************/

    /**
     * @inheritdoc IPool
     */
    function quote(
        uint256 principal,
        uint64 duration,
        address collateralToken,
        uint256 collateralTokenId,
        uint128[] calldata ticks,
        bytes calldata options
    ) external view returns (uint256) {
        /* Quote repayment */
        (uint256 repayment, , , ) = _quote(
            principal,
            duration,
            collateralToken,
            collateralTokenId,
            ticks,
            BorrowLogic._getOptionsData(options, BorrowOptions.CollateralWrapperContext),
            BorrowLogic._getOptionsData(options, BorrowOptions.CollateralFilterContext),
            false
        );

        return repayment;
    }

    /**
     * @inheritdoc IPool
     */
    function borrow(
        uint256 principal,
        uint64 duration,
        address collateralToken,
        uint256 collateralTokenId,
        uint256 maxRepayment,
        uint128[] calldata ticks,
        bytes calldata options
    ) external nonReentrant returns (uint256) {
        /* Quote repayment, admin fee, and liquidity nodes */
        (uint256 repayment, uint256 adminFee, LiquidityLogic.NodeSource[] memory nodes, uint16 count) = _quote(
            principal,
            duration,
            collateralToken,
            collateralTokenId,
            ticks,
            BorrowLogic._getOptionsData(options, BorrowOptions.CollateralWrapperContext),
            BorrowLogic._getOptionsData(options, BorrowOptions.CollateralFilterContext),
            false
        );

        /* Handle borrow accounting */
        (bytes memory encodedLoanReceipt, bytes32 loanReceiptHash) = BorrowLogic._borrow(
            _storage,
            principal,
            duration,
            collateralToken,
            collateralTokenId,
            repayment,
            maxRepayment,
            adminFee,
            nodes,
            count,
            BorrowLogic._getOptionsData(options, BorrowOptions.CollateralWrapperContext)
        );

        /* Handle delegate.cash option */
        _optionDelegateCash(collateralToken, collateralTokenId, options);

        /* Transfer collateral from borrower to pool */
        IERC721(collateralToken).transferFrom(msg.sender, address(this), collateralTokenId);

        /* Transfer principal from pool to borrower */
        _storage.currencyToken.safeTransfer(msg.sender, principal);

        /* Emit LoanOriginated */
        emit LoanOriginated(loanReceiptHash, encodedLoanReceipt);

        return repayment;
    }

    /**
     * @inheritdoc IPool
     */
    function repay(bytes calldata encodedLoanReceipt) external nonReentrant returns (uint256) {
        /* Handle repay accounting */
        (uint256 repayment, LoanReceipt.LoanReceiptV2 memory loanReceipt, bytes32 loanReceiptHash) = BorrowLogic._repay(
            _storage,
            encodedLoanReceipt
        );

        /* Revoke delegates */
        _revokeDelegates(loanReceipt.collateralToken, loanReceipt.collateralTokenId);

        /* Transfer repayment from borrower to pool */
        _storage.currencyToken.safeTransferFrom(loanReceipt.borrower, address(this), repayment);

        /* Transfer collateral from pool to borrower */
        IERC721(loanReceipt.collateralToken).transferFrom(
            address(this),
            loanReceipt.borrower,
            loanReceipt.collateralTokenId
        );

        /* Emit Loan Repaid */
        emit LoanRepaid(loanReceiptHash, repayment);

        return repayment;
    }

    /**
     * @inheritdoc IPool
     */
    function refinance(
        bytes calldata encodedLoanReceipt,
        uint256 principal,
        uint64 duration,
        uint256 maxRepayment,
        uint128[] calldata ticks
    ) external nonReentrant returns (uint256) {
        /* Handle repay accounting */
        (uint256 repayment, LoanReceipt.LoanReceiptV2 memory loanReceipt, bytes32 loanReceiptHash) = BorrowLogic._repay(
            _storage,
            encodedLoanReceipt
        );

        /* Quote new repayment, admin fee, and liquidity nodes */
        (uint256 newRepayment, uint256 adminFee, LiquidityLogic.NodeSource[] memory nodes, uint16 count) = _quote(
            principal,
            duration,
            loanReceipt.collateralToken,
            loanReceipt.collateralTokenId,
            ticks,
            loanReceipt.collateralWrapperContext,
            encodedLoanReceipt[0:0],
            true
        );

        /* Handle borrow accounting */
        (bytes memory newEncodedLoanReceipt, bytes32 newLoanReceiptHash) = BorrowLogic._borrow(
            _storage,
            principal,
            duration,
            loanReceipt.collateralToken,
            loanReceipt.collateralTokenId,
            newRepayment,
            maxRepayment,
            adminFee,
            nodes,
            count,
            loanReceipt.collateralWrapperContext
        );

        /* Determine transfer direction */
        if (principal < repayment) {
            /* Transfer prorated repayment less principal from borrower to pool */
            _storage.currencyToken.safeTransferFrom(loanReceipt.borrower, address(this), repayment - principal);
        } else {
            /* Transfer principal less prorated repayment from pool to borrower */
            _storage.currencyToken.safeTransfer(msg.sender, principal - repayment);
        }

        /* Emit Loan Repaid */
        emit LoanRepaid(loanReceiptHash, repayment);

        /* Emit LoanOriginated */
        emit LoanOriginated(newLoanReceiptHash, newEncodedLoanReceipt);

        return newRepayment;
    }

    /**
     * @inheritdoc IPool
     */
    function liquidate(bytes calldata encodedLoanReceipt) external nonReentrant {
        /* Handle liquidate accounting */
        (LoanReceipt.LoanReceiptV2 memory loanReceipt, bytes32 loanReceiptHash) = BorrowLogic._liquidate(
            _storage,
            encodedLoanReceipt
        );

        /* Revoke delegates */
        _revokeDelegates(loanReceipt.collateralToken, loanReceipt.collateralTokenId);

        /* Approve collateral for transfer to _collateralLiquidator */
        IERC721(loanReceipt.collateralToken).approve(address(_collateralLiquidator), loanReceipt.collateralTokenId);

        /* Start liquidation with collateral liquidator */
        _collateralLiquidator.liquidate(
            address(_storage.currencyToken),
            loanReceipt.collateralToken,
            loanReceipt.collateralTokenId,
            loanReceipt.collateralWrapperContext,
            encodedLoanReceipt
        );

        /* Emit Loan Liquidated */
        emit LoanLiquidated(loanReceiptHash);
    }

    /**************************************************************************/
    /* Callbacks */
    /**************************************************************************/

    /**
     * @inheritdoc ICollateralLiquidationReceiver
     */
    function onCollateralLiquidated(bytes calldata encodedLoanReceipt, uint256 proceeds) external nonReentrant {
        /* Validate caller is collateral liquidator */
        if (msg.sender != address(_collateralLiquidator)) revert InvalidCaller();

        /* Handle collateral liquidation accounting */
        (uint256 borrowerSurplus, LoanReceipt.LoanReceiptV2 memory loanReceipt, bytes32 loanReceiptHash) = BorrowLogic
            ._onCollateralLiquidated(_storage, encodedLoanReceipt, proceeds);

        /* Transfer surplus to borrower */
        if (borrowerSurplus != 0) IERC20(_storage.currencyToken).safeTransfer(loanReceipt.borrower, borrowerSurplus);

        /* Emit Collateral Liquidated */
        emit CollateralLiquidated(loanReceiptHash, proceeds, borrowerSurplus);
    }

    /**************************************************************************/
    /* Deposit API */
    /**************************************************************************/

    /**
     * @inheritdoc IPool
     */
    function deposit(uint128 tick, uint256 amount, uint256 minShares) external nonReentrant returns (uint256) {
        /* Handle deposit accounting and compute shares */
        uint128 shares = DepositLogic._deposit(_storage, tick, amount.toUint128(), minShares.toUint128());

        /* Call token hook */
        onExternalTransfer(address(0), msg.sender, tick, shares);

        /* Transfer deposit amount */
        _storage.currencyToken.safeTransferFrom(msg.sender, address(this), amount);

        /* Emit Deposited */
        emit Deposited(msg.sender, tick, amount, shares);

        return shares;
    }

    /**
     * @inheritdoc IPool
     */
    function redeem(uint128 tick, uint256 shares) external nonReentrant returns (uint128) {
        /* Handle redeem accounting */
        uint128 redemptionId = DepositLogic._redeem(_storage, tick, shares.toUint128());

        /* Call token hook */
        onExternalTransfer(msg.sender, address(0), tick, shares);

        /* Emit Redeemed event */
        emit Redeemed(msg.sender, tick, redemptionId, shares);

        return redemptionId;
    }

    /**
     * @inheritdoc IPool
     */
    function redemptionAvailable(
        address account,
        uint128 tick,
        uint128 redemptionId
    ) external view returns (uint256 shares, uint256 amount, uint256 sharesAhead) {
        /* Handle redemption available accounting */
        return DepositLogic._redemptionAvailable(_storage, account, tick, redemptionId);
    }

    /**
     * @inheritdoc IPool
     */
    function withdraw(uint128 tick, uint128 redemptionId) external nonReentrant returns (uint256, uint256) {
        /* Handle withdraw accounting and compute both shares and amount */
        (uint128 shares, uint128 amount) = DepositLogic._withdraw(_storage, tick, redemptionId);

        /* Transfer withdrawal amount */
        if (amount != 0) _storage.currencyToken.safeTransfer(msg.sender, amount);

        /* Emit Withdrawn */
        emit Withdrawn(msg.sender, tick, redemptionId, shares, amount);

        return (shares, amount);
    }

    /**
     * @inheritdoc IPool
     */
    function rebalance(
        uint128 srcTick,
        uint128 dstTick,
        uint128 redemptionId,
        uint256 minShares
    ) external nonReentrant returns (uint256, uint256, uint256) {
        /* Handle withdraw accounting and compute both shares and amount */
        (uint128 oldShares, uint128 amount) = DepositLogic._withdraw(_storage, srcTick, redemptionId);

        /* Handle deposit accounting and compute new shares */
        uint128 newShares = DepositLogic._deposit(_storage, dstTick, amount, minShares.toUint128());

        /* Call token hook */
        onExternalTransfer(address(0), msg.sender, dstTick, newShares);

        /* Emit Withdrawn */
        emit Withdrawn(msg.sender, srcTick, redemptionId, oldShares, amount);

        /* Emit Deposited */
        emit Deposited(msg.sender, dstTick, amount, newShares);

        return (oldShares, newShares, amount);
    }

    /**
     * @notice Transfer shares between accounts by operator
     *
     * @dev Only callable by deposit token contract
     *
     * @param from From
     * @param to To
     * @param tick Tick
     * @param shares Shares
     */
    function transfer(address from, address to, uint128 tick, uint256 shares) external nonReentrant {
        /* Validate caller is deposit token created by Pool */
        if (msg.sender != depositToken(tick)) revert InvalidCaller();

        /* Handle transfer accounting */
        DepositLogic._transfer(_storage, from, to, tick, shares.toUint128());

        /* Emit Transferred */
        emit Transferred(from, to, tick, shares);
    }

    /**************************************************************************/
    /* Admin Fees API */
    /**************************************************************************/

    /**
     * @notice Set the admin fee rate
     *
     * Emits a {AdminFeeRateUpdated} event.
     *
     * @param rate Rate is the admin fee in basis points
     */
    function setAdminFeeRate(uint32 rate) external {
        if (msg.sender != _storage.admin) revert InvalidCaller();
        if (rate >= LiquidityLogic.BASIS_POINTS_SCALE) revert InvalidParameters();

        _storage.adminFeeRate = rate;

        emit AdminFeeRateUpdated(rate);
    }

    /**
     * @notice Withdraw admin fees
     *
     * Emits a {AdminFeesWithdrawn} event.
     *
     * @param recipient Recipient account
     * @param amount Amount to withdraw
     */
    function withdrawAdminFees(address recipient, uint256 amount) external nonReentrant {
        if (msg.sender != _storage.admin) revert InvalidCaller();
        if (recipient == address(0) || amount > _storage.adminFeeBalance) revert InvalidParameters();

        /* Update admin fees balance */
        _storage.adminFeeBalance -= amount;

        /* Transfer cash from Pool to recipient */
        _storage.currencyToken.safeTransfer(recipient, amount);

        emit AdminFeesWithdrawn(recipient, amount);
    }

    /******************************************************/
    /* ERC165 interface */
    /******************************************************/

    /**
     * @inheritdoc IERC165
     */
    function supportsInterface(bytes4 interfaceId) public view override returns (bool) {
        return interfaceId == type(ICollateralLiquidationReceiver).interfaceId || super.supportsInterface(interfaceId);
    }
}

// File: contracts/rates/InterestRateModel.sol



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

import "../LiquidityLogic.sol";

/**
 * @title Interest Rate Model API
 * @author MetaStreet Labs
 */
abstract contract InterestRateModel {
    /**************************************************************************/
    /* Errors */
    /**************************************************************************/

    /**
     * @notice Invalid parameters
     */
    error InvalidInterestRateModelParameters();

    /**************************************************************************/
    /* API */
    /**************************************************************************/

    /**
     * @notice Get interest rate model name
     * @return Interest rate model name
     */
    function INTEREST_RATE_MODEL_NAME() external view virtual returns (string memory);

    /**
     * @notice Get interest rate model version
     * @return Interest rate model version
     */
    function INTEREST_RATE_MODEL_VERSION() external view virtual returns (string memory);

    /**
     * Get interest rate for liquidity
     * @param amount Liquidity amount
     * @param rates Rates
     * @param nodes Liquidity nodes
     * @param count Liquidity node count
     * @return Interest per second
     */
    function _rate(
        uint256 amount,
        uint64[] memory rates,
        LiquidityLogic.NodeSource[] memory nodes,
        uint16 count
    ) internal view virtual returns (uint256);

    /**
     * Distribute interest to liquidity
     * @param amount Liquidity amount
     * @param interest Interest to distribute
     * @param nodes Liquidity nodes
     * @param count Liquidity node count
     */
    function _distribute(
        uint256 amount,
        uint256 interest,
        LiquidityLogic.NodeSource[] memory nodes,
        uint16 count
    ) internal view virtual;
}

// File: contracts/Tick.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

/**
 * @title Tick
 * @author MetaStreet Labs
 */
library Tick {
    /*
     * A tick encodes three conditions on liquidity: limit, duration, and rate.
     * Limit is the maximum depth that liquidity sourced from the node can be
     * used in. Duration is the maximum allowed duration for that liquidity.
     * Rate is the interest rate associated with that liquidity. Duration and
     * rates are encoded as indexes into predetermined, discrete tiers.
     *
     * +-----------------------------------------------------------------------+
     * |                                 128                                   |
     * +--------------------------------------|----------|----------|----------+
     * |                  120                 |    3     |     3    |     2    |
     * |                 Limit                | Dur. Idx | Rate Idx | Reserved |
     * +-----------------------------------------------------------------------+
     *
     * Duration Index is ordered from longest duration to shortest, e.g. 30
     * days, 14 days, 7 days.
     *
     * Rate Index is ordered from lowest rate to highest rate, e.g. 10%, 30%,
     * 50%.
     */

    /**************************************************************************/
    /* Constants */
    /**************************************************************************/

    /**
     * @notice Tick limit mask
     */
    uint256 internal constant TICK_LIMIT_MASK = 0xffffffffffffffffffffffffffffff;

    /**
     * @notice Tick limit shift
     */
    uint256 internal constant TICK_LIMIT_SHIFT = 8;

    /**
     * @notice Tick duration index mask
     */
    uint256 internal constant TICK_DURATION_MASK = 0x7;

    /**
     * @notice Tick duration index shift
     */
    uint256 internal constant TICK_DURATION_SHIFT = 5;

    /**
     * @notice Tick rate index mask
     */
    uint256 internal constant TICK_RATE_MASK = 0x7;

    /**
     * @notice Tick rate index shift
     */
    uint256 internal constant TICK_RATE_SHIFT = 2;

    /**
     * @notice Tick reserved mask
     */
    uint256 internal constant TICK_RESERVED_MASK = 0x3;

    /**
     * @notice Tick reserved shift
     */
    uint256 internal constant TICK_RESERVED_SHIFT = 0;

    /**
     * @notice Maximum number of durations supported
     */
    uint256 internal constant MAX_NUM_DURATIONS = TICK_DURATION_MASK + 1;

    /**
     * @notice Maximum number of rates supported
     */
    uint256 internal constant MAX_NUM_RATES = TICK_RATE_MASK + 1;

    /**************************************************************************/
    /* Errors */
    /**************************************************************************/

    /**
     * @notice Invalid tick
     */
    error InvalidTick();

    /**************************************************************************/
    /* Helper Functions */
    /**************************************************************************/

    /**
     * @dev Decode a Tick
     * @param tick Tick
     * @return limit Limit field
     * @return duration Duration field
     * @return rate Rate field
     * @return reserved Reserved field
     */
    function decode(
        uint128 tick
    ) internal pure returns (uint256 limit, uint256 duration, uint256 rate, uint256 reserved) {
        limit = ((tick >> TICK_LIMIT_SHIFT) & TICK_LIMIT_MASK);
        duration = ((tick >> TICK_DURATION_SHIFT) & TICK_DURATION_MASK);
        rate = ((tick >> TICK_RATE_SHIFT) & TICK_RATE_MASK);
        reserved = ((tick >> TICK_RESERVED_SHIFT) & TICK_RESERVED_MASK);
    }

    /**
     * @dev Validate a Tick (fast)
     * @param tick Tick
     * @param prevTick Previous tick
     * @param maxDurationIndex Maximum Duration Index (inclusive)
     * @return Limit field
     */
    function validate(uint128 tick, uint256 prevTick, uint256 maxDurationIndex) internal pure returns (uint256) {
        (uint256 limit, uint256 duration, , ) = decode(tick);
        if (tick <= prevTick) revert InvalidTick();
        if (duration > maxDurationIndex) revert InvalidTick();
        return limit;
    }

    /**
     * @dev Validate a Tick (slow)
     * @param tick Tick
     * @param minLimit Minimum Limit (exclusive)
     * @param minDurationIndex Minimum Duration Index (inclusive)
     * @param maxDurationIndex Maximum Duration Index (inclusive)
     * @param minRateIndex Minimum Rate Index (inclusive)
     * @param maxRateIndex Maximum Rate Index (inclusive)
     */
    function validate(
        uint128 tick,
        uint256 minLimit,
        uint256 minDurationIndex,
        uint256 maxDurationIndex,
        uint256 minRateIndex,
        uint256 maxRateIndex
    ) internal pure {
        (uint256 limit, uint256 duration, uint256 rate, uint256 reserved) = decode(tick);
        if (limit <= minLimit) revert InvalidTick();
        if (duration < minDurationIndex) revert InvalidTick();
        if (duration > maxDurationIndex) revert InvalidTick();
        if (rate < minRateIndex) revert InvalidTick();
        if (rate > maxRateIndex) revert InvalidTick();
        if (reserved != 0) revert InvalidTick();
    }
}

// File: contracts/tokenization/DepositToken.sol



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

/**
 * @title Deposit Token API
 * @author MetaStreet Labs
 */
abstract contract DepositToken {
    /**************************************************************************/
    /* Events */
    /**************************************************************************/

    /**
     * @notice Emitted when deposit token created
     * @param instance Instance address
     * @param implementation Implementation address
     */
    event TokenCreated(address indexed instance, address indexed implementation);

    /**************************************************************************/
    /* API */
    /**************************************************************************/

    /**
     * @notice Get the deposit token address for tick
     *
     * @param tick Tick
     * @return Deposit token address
     */
    function depositToken(uint128 tick) public view virtual returns (address);

    /**
     * @notice Hook called by Pool on token transfers
     *
     * @param from From
     * @param to To
     * @param tick Tick
     * @param shares Shares
     */
    function onExternalTransfer(address from, address to, uint128 tick, uint256 shares) internal virtual;
}

// File: contracts/tokenization/ERC20DepositToken.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

import "./DepositToken.sol";

import "./ERC20DepositTokenFactory.sol";
import "./ERC20DepositTokenImplementation.sol";

/**
 * @title ERC20 Deposit Token
 * @author MetaStreet Labs
 */
contract ERC20DepositToken is DepositToken {
    /**************************************************************************/
    /* Structures */
    /**************************************************************************/

    /**
     * @custom:storage-location erc7201:erc20DepositToken.depositTokenStorage
     */
    struct DepositTokenStorage {
        /* Mapping of tick to token address */
        mapping(uint128 => address) tokens;
    }

    /**************************************************************************/
    /* State */
    /**************************************************************************/

    /**
     * @notice Current ERC20 deposit token implementation
     */
    address internal immutable _implementation;

    /**
     * @notice Deposit token storage slot
     * @dev keccak256(abi.encode(uint256(keccak256("erc20DepositToken.depositTokenStorage")) - 1)) & ~bytes32(uint256(0xff));
     */
    bytes32 private constant DEPOSIT_TOKEN_STORAGE_LOCATION =
        0xc61d9ab4916a5eab6b572dc8707662b99e55e17ecdc61af8ff79465ad64ded00;

    /**************************************************************************/
    /* Constructor */
    /**************************************************************************/

    /**
     * @notice ERC20DepositToken constructor
     *
     * @param implementation_ ERC20 deposit token implementation address
     */
    constructor(address implementation_) {
        _implementation = implementation_;
    }

    /**************************************************************************/
    /* Internal Helpers */
    /**************************************************************************/

    /**
     * @notice Get reference to ERC-7201 deposit token storage
     *
     * @return $ Reference to deposit token storage
     */
    function _getDepositTokenStorage() private pure returns (DepositTokenStorage storage $) {
        assembly {
            $.slot := DEPOSIT_TOKEN_STORAGE_LOCATION
        }
    }

    /**************************************************************************/
    /* API */
    /**************************************************************************/

    /**
     * @notice Get ERC20 Deposit Token implementation address
     *
     * @return ERC20 Deposit Token implementation address
     */
    function getERC20DepositTokenImplementation() external view returns (address) {
        return _implementation;
    }

    /**
     * @notice Tokenize a tick
     *
     * @param tick Tick
     */
    function tokenize(uint128 tick) external returns (address) {
        /* Return token if it already exists */
        address tokenInstance = depositToken(tick);
        if (tokenInstance != address(0)) return tokenInstance;

        /* Create proxied token */
        tokenInstance = ERC20DepositTokenFactory.deploy(tick);

        /* Store token instance in mapping */
        _getDepositTokenStorage().tokens[tick] = tokenInstance;

        emit TokenCreated(tokenInstance, _implementation);

        return tokenInstance;
    }

    /**
     * @inheritdoc DepositToken
     */
    function depositToken(uint128 tick) public view override returns (address) {
        return _getDepositTokenStorage().tokens[tick];
    }

    /**
     * @inheritdoc DepositToken
     */
    function onExternalTransfer(address from, address to, uint128 tick, uint256 shares) internal override {
        /* No operation if token does not exist */
        if (depositToken(tick) == address(0)) return;

        /* Call external transfer hook */
        ERC20DepositTokenImplementation(depositToken(tick)).onExternalTransfer(from, to, shares);
    }
}

// File: contracts/tokenization/ERC20DepositTokenFactory.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

import "@openzeppelin/contracts/utils/Create2.sol";

import "./ERC20DepositTokenProxy.sol";

/**
 * @title ERC20 Deposit Token Factory
 * @author MetaStreet Labs
 */
library ERC20DepositTokenFactory {
    /**
     * @notice Deploy a proxied ERC20 deposit token
     * @param tick Tick
     * @return Proxy address
     */
    function deploy(uint128 tick) external returns (address) {
        /* Create init data */
        bytes memory initData = abi.encode(
            address(this),
            abi.encodeWithSignature("initialize(bytes)", abi.encode(tick))
        );

        /* Create token instance */
        return
            Create2.deploy(
                0,
                bytes32(uint256(tick)),
                abi.encodePacked(type(ERC20DepositTokenProxy).creationCode, initData)
            );
    }
}

// File: contracts/tokenization/ERC20DepositTokenImplementation.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

import "@openzeppelin/contracts/interfaces/IERC20Metadata.sol";
import "@openzeppelin/contracts/interfaces/IERC721Metadata.sol";
import "@openzeppelin/contracts/utils/math/SafeCast.sol";
import "@openzeppelin/contracts/utils/Strings.sol";

import "../Pool.sol";
import "../interfaces/ILiquidity.sol";

/**
 * @title ERC20 Deposit Token Implementation
 * @author MetaStreet Labs
 */
contract ERC20DepositTokenImplementation is IERC20Metadata {
    using Tick for uint128;
    using SafeCast for uint256;

    /**************************************************************************/
    /* Errors */
    /**************************************************************************/

    /**
     * @notice ERC20 Errors from OpenZeppelin implementation:
     *         https://github.com/OpenZeppelin/openzeppelin-contracts/blob/v5.0.0/contracts/interfaces/draft-IERC6093.sol
     */

    /**
     * @notice Insufficient balance
     *
     * @param sender Address whose tokens are being transferred.
     * @param balance Current balance for the interacting account.
     * @param needed Minimum amount required to perform a transfer.
     */
    error ERC20InsufficientBalance(address sender, uint256 balance, uint256 needed);

    /**
     * @notice Insufficient allowance
     *
     * @param spender Address that may be allowed to operate on tokens without being their owner.
     * @param allowance Amount of tokens a `spender` is allowed to operate with.
     * @param needed Minimum amount required to perform a transfer.
     */
    error ERC20InsufficientAllowance(address spender, uint256 allowance, uint256 needed);

    /**
     * @notice Invalid spender
     *
     * @param sender Address whose tokens are being transferred.
     */
    error ERC20InvalidSpender(address sender);

    /**
     * @notice Invalid Sender
     *
     * @param sender Address whose tokens are being transferred.
     */
    error ERC20InvalidSender(address sender);

    /**
     * @notice Invalid Receiver
     *
     * @param receiver Address to which tokens are being transferred.
     */
    error ERC20InvalidReceiver(address receiver);

    /**
     * @notice Invalid caller
     */
    error InvalidCaller();

    /**************************************************************************/
    /* Constants */
    /**************************************************************************/

    /**
     * @notice Implementation version
     */
    string public constant IMPLEMENTATION_VERSION = "1.0";

    /**
     * @notice Fixed point scale
     */
    uint256 internal constant FIXED_POINT_SCALE = 1e18;

    /**************************************************************************/
    /* State */
    /**************************************************************************/

    /**
     * @notice Initialized boolean
     */
    bool internal _initialized;

    /**
     * @notice MetaStreet V2 Pool
     */
    Pool internal _pool;

    /**
     * @notice Deposit tick
     */
    uint128 internal _tick;

    /**
     * @notice Owner => operator => allowance
     */
    mapping(address => mapping(address => uint256)) private _allowances;

    /**************************************************************************/
    /* Constructor */
    /**************************************************************************/

    /**
     * @notice ERC20 Deposit Token Implementation constructor
     */
    constructor() {
        /* Disable initialization of implementation contract */
        _initialized = true;
    }

    /**************************************************************************/
    /* Initializer */
    /**************************************************************************/

    /**
     * @notice Initializer
     * @param params ABI-encoded parameters
     */
    function initialize(bytes memory params) external {
        require(!_initialized, "Already initialized");
        _initialized = true;

        /* Decode parameters */
        uint128 tick_ = abi.decode(params, (uint128));

        _pool = Pool(msg.sender);
        _tick = tick_;
    }

    /**************************************************************************/
    /* Internal Helpers */
    /**************************************************************************/

    /**
     * @notice Helper function to get rounded loan limit for name() and symbol()
     *
     * @dev Solely utilized to generate rounded number in name() and symbol() getters.
     *      Loan limits > 1 ETH are rounded to the nearest whole number. Under 1 ETH
     *      are rounded to the nearest hundredth place.
     *
     * @param loanLimit_ Loan limit as uint256
     *
     * @return Loan limit as string
     */
    function _getLoanLimit(uint256 loanLimit_) internal pure returns (string memory) {
        /* Handle loan limits > 1 ETH */
        if (loanLimit_ >= FIXED_POINT_SCALE) {
            return Strings.toString((loanLimit_ + (FIXED_POINT_SCALE / 2)) / FIXED_POINT_SCALE);
        } else {
            /* Handle loan limits < 1 ETH */
            uint256 scaledValue = loanLimit_ * 100;
            uint256 integer = scaledValue / FIXED_POINT_SCALE;
            if (scaledValue % FIXED_POINT_SCALE >= FIXED_POINT_SCALE / 2) {
                integer += 1;
            }
            uint256 hundredthPlaces = integer % 100;
            string memory decimalStr = hundredthPlaces < 10
                ? string.concat("0", Strings.toString(hundredthPlaces))
                : Strings.toString(hundredthPlaces);

            return string.concat("0.", decimalStr);
        }
    }

    /**************************************************************************/
    /* Getters */
    /**************************************************************************/

    /**
     * @inheritdoc IERC20Metadata
     */
    function name() public view returns (string memory) {
        (uint256 limit_, , , ) = _tick.decode();
        return
            string.concat(
                "MetaStreet V2 Deposit: ",
                IERC721Metadata(_pool.collateralToken()).symbol(),
                "-",
                IERC20Metadata(_pool.currencyToken()).symbol(),
                ":",
                _getLoanLimit(limit_)
            );
    }

    /**
     * @inheritdoc IERC20Metadata
     */
    function symbol() public view returns (string memory) {
        (uint256 limit_, , , ) = _tick.decode();
        return
            string.concat(
                "m",
                IERC20Metadata(_pool.currencyToken()).symbol(),
                "-",
                IERC721Metadata(_pool.collateralToken()).symbol(),
                ":",
                _getLoanLimit(limit_)
            );
    }

    /**
     * @inheritdoc IERC20Metadata
     */
    function decimals() public view virtual returns (uint8) {
        return 18;
    }

    /**
     * @notice Pool
     * @return Pool address
     */
    function pool() external view returns (Pool) {
        return _pool;
    }

    /**
     * @notice Tick
     * @return Encoded tick
     */
    function tick() external view returns (uint128) {
        return _tick;
    }

    /**
     * @notice Tick loan limit
     * @return Loan limit in currency tokens
     */
    function limit() external view returns (uint128) {
        (uint256 limit_, , , ) = _tick.decode();
        return limit_.toUint128();
    }

    /**
     * @notice Tick duration
     * @return Duration in seconds
     */
    function duration() external view returns (uint64) {
        (, uint256 durationIndex, , ) = _tick.decode();
        return _pool.durations()[durationIndex];
    }

    /**
     * @notice Tick rate
     * @return Rate in interest per second
     */
    function rate() external view returns (uint64) {
        (, , uint256 rateIndex, ) = _tick.decode();
        return _pool.rates()[rateIndex];
    }

    /**
     * @notice Currency token
     * @return Address of currency token
     */
    function currencyToken() external view returns (address) {
        return _pool.currencyToken();
    }

    /**
     * @notice Deposit share price
     * @return Deposit share price
     */
    function depositSharePrice() external view returns (uint256) {
        return _pool.depositSharePrice(_tick);
    }

    /**
     * @notice Redemption share price
     * @return Redemption share price
     */
    function redemptionSharePrice() external view returns (uint256) {
        return _pool.redemptionSharePrice(_tick);
    }

    /**************************************************************************/
    /* Internal Helpers */
    /**************************************************************************/

    /**
     * @notice Helper function to transfer tokens
     *
     * @param from From
     * @param to To
     * @param value Value
     */
    function _transfer(address from, address to, uint256 value) internal {
        /* No transfer to zero address */
        if (to == address(0)) {
            revert ERC20InvalidReceiver(address(0));
        }

        /* Validate balance */
        uint256 fromBalance = balanceOf(from);
        if (fromBalance < value) {
            revert ERC20InsufficientBalance(from, fromBalance, value);
        }

        /* Call transfer on pool */
        _pool.transfer(from, to, _tick, value);

        emit Transfer(from, to, value);
    }

    /**************************************************************************/
    /* Hooks */
    /**************************************************************************/

    /**
     * @notice External transfer hook
     *
     * @param from From
     * @param to To
     * @param value Value
     */
    function onExternalTransfer(address from, address to, uint256 value) external {
        if (msg.sender != address(_pool)) revert InvalidCaller();

        emit Transfer(from, to, value);
    }

    /**************************************************************************/
    /* IERC20 API */
    /**************************************************************************/

    /**
     * @inheritdoc IERC20
     */
    function totalSupply() public view returns (uint256) {
        /* Get Pool node */
        ILiquidity.NodeInfo memory node = _pool.liquidityNode(_tick);

        /* Calculate total supply */
        return node.shares - node.redemptions;
    }

    /**
     * @inheritdoc IERC20
     */
    function balanceOf(address account) public view returns (uint256) {
        /* Get shares from deposits */
        (uint128 shares, ) = _pool.deposits(account, _tick);

        return shares;
    }

    /**
     * @inheritdoc IERC20
     */
    function allowance(address owner, address spender) public view returns (uint256) {
        return _allowances[owner][spender];
    }

    /**
     * @inheritdoc IERC20
     */
    function approve(address spender, uint256 value) public returns (bool) {
        if (spender == address(0)) {
            revert ERC20InvalidSpender(address(0));
        }

        _allowances[msg.sender][spender] = value;

        emit Approval(msg.sender, spender, value);

        return true;
    }

    /**
     * @inheritdoc IERC20
     */
    function transfer(address to, uint256 value) public returns (bool) {
        _transfer(msg.sender, to, value);

        return true;
    }

    /**
     * @inheritdoc IERC20
     */
    function transferFrom(address from, address to, uint256 value) public returns (bool) {
        /* No transfer from zero address */
        if (from == address(0)) {
            revert ERC20InvalidSender(address(0));
        }

        /* Check + update allowance */
        uint256 currentAllowance = allowance(from, msg.sender);
        if (currentAllowance != type(uint256).max) {
            if (currentAllowance < value) {
                revert ERC20InsufficientAllowance(msg.sender, currentAllowance, value);
            }
            unchecked {
                _allowances[from][msg.sender] = currentAllowance - value;
            }
        }

        _transfer(from, to, value);

        return true;
    }
}

// File: contracts/tokenization/ERC20DepositTokenProxy.sol



// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.20;

import "@openzeppelin/contracts/proxy/Proxy.sol";
import "@openzeppelin/contracts/utils/Address.sol";

import "./ERC20DepositToken.sol";

/**
 * @title ERC20 Deposit Token Proxy
 * @author MetaStreet Labs
 */
contract ERC20DepositTokenProxy is Proxy {
    /**************************************************************************/
    /* Constants */
    /**************************************************************************/

    /**
     * @notice Beacon address (ERC20DepositToken)
     */
    address internal immutable _beacon;

    /**************************************************************************/
    /* Constructor */
    /**************************************************************************/

    /**
     * @notice ERC20DepositTokenProxy constructor
     *
     * @dev Set the ERC20DepositToken address as beacon
     *      and initializes the storage of the Proxy
     *
     * @param beacon Beacon address
     * @param data Initialization data
     */
    constructor(address beacon, bytes memory data) {
        _beacon = beacon;
        Address.functionDelegateCall(ERC20DepositToken(beacon).getERC20DepositTokenImplementation(), data);
    }

    /**************************************************************************/
    /* Getters */
    /**************************************************************************/

    /**
     * @notice Get implementation address
     *
     * @dev Overrides Proxy._implementation()
     *
     * @return Implementation address
     */
    function _implementation() internal view virtual override returns (address) {
        return ERC20DepositToken(_beacon).getERC20DepositTokenImplementation();
    }
}