Contract Name:
MasterFarmer
Contract Source Code:
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (access/Ownable.sol)
pragma solidity ^0.8.20;
import {Context} from "../utils/Context.sol";
/**
* @dev Contract module which provides a basic access control mechanism, where
* there is an account (an owner) that can be granted exclusive access to
* specific functions.
*
* The initial owner is set to the address provided by the deployer. This can
* later be changed with {transferOwnership}.
*
* This module is used through inheritance. It will make available the modifier
* `onlyOwner`, which can be applied to your functions to restrict their use to
* the owner.
*/
abstract contract Ownable is Context {
address private _owner;
/**
* @dev The caller account is not authorized to perform an operation.
*/
error OwnableUnauthorizedAccount(address account);
/**
* @dev The owner is not a valid owner account. (eg. `address(0)`)
*/
error OwnableInvalidOwner(address owner);
event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
/**
* @dev Initializes the contract setting the address provided by the deployer as the initial owner.
*/
constructor(address initialOwner) {
if (initialOwner == address(0)) {
revert OwnableInvalidOwner(address(0));
}
_transferOwnership(initialOwner);
}
/**
* @dev Throws if called by any account other than the owner.
*/
modifier onlyOwner() {
_checkOwner();
_;
}
/**
* @dev Returns the address of the current owner.
*/
function owner() public view virtual returns (address) {
return _owner;
}
/**
* @dev Throws if the sender is not the owner.
*/
function _checkOwner() internal view virtual {
if (owner() != _msgSender()) {
revert OwnableUnauthorizedAccount(_msgSender());
}
}
/**
* @dev Leaves the contract without owner. It will not be possible to call
* `onlyOwner` functions. Can only be called by the current owner.
*
* NOTE: Renouncing ownership will leave the contract without an owner,
* thereby disabling any functionality that is only available to the owner.
*/
function renounceOwnership() public virtual onlyOwner {
_transferOwnership(address(0));
}
/**
* @dev Transfers ownership of the contract to a new account (`newOwner`).
* Can only be called by the current owner.
*/
function transferOwnership(address newOwner) public virtual onlyOwner {
if (newOwner == address(0)) {
revert OwnableInvalidOwner(address(0));
}
_transferOwnership(newOwner);
}
/**
* @dev Transfers ownership of the contract to a new account (`newOwner`).
* Internal function without access restriction.
*/
function _transferOwnership(address newOwner) internal virtual {
address oldOwner = _owner;
_owner = newOwner;
emit OwnershipTransferred(oldOwner, newOwner);
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (interfaces/draft-IERC6093.sol)
pragma solidity ^0.8.20;
/**
* @dev Standard ERC-20 Errors
* Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-20 tokens.
*/
interface IERC20Errors {
/**
* @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
* @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);
/**
* @dev Indicates a failure with the token `sender`. Used in transfers.
* @param sender Address whose tokens are being transferred.
*/
error ERC20InvalidSender(address sender);
/**
* @dev Indicates a failure with the token `receiver`. Used in transfers.
* @param receiver Address to which tokens are being transferred.
*/
error ERC20InvalidReceiver(address receiver);
/**
* @dev Indicates a failure with the `spender`’s `allowance`. Used in transfers.
* @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);
/**
* @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
* @param approver Address initiating an approval operation.
*/
error ERC20InvalidApprover(address approver);
/**
* @dev Indicates a failure with the `spender` to be approved. Used in approvals.
* @param spender Address that may be allowed to operate on tokens without being their owner.
*/
error ERC20InvalidSpender(address spender);
}
/**
* @dev Standard ERC-721 Errors
* Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-721 tokens.
*/
interface IERC721Errors {
/**
* @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in ERC-20.
* Used in balance queries.
* @param owner Address of the current owner of a token.
*/
error ERC721InvalidOwner(address owner);
/**
* @dev Indicates a `tokenId` whose `owner` is the zero address.
* @param tokenId Identifier number of a token.
*/
error ERC721NonexistentToken(uint256 tokenId);
/**
* @dev Indicates an error related to the ownership over a particular token. Used in transfers.
* @param sender Address whose tokens are being transferred.
* @param tokenId Identifier number of a token.
* @param owner Address of the current owner of a token.
*/
error ERC721IncorrectOwner(address sender, uint256 tokenId, address owner);
/**
* @dev Indicates a failure with the token `sender`. Used in transfers.
* @param sender Address whose tokens are being transferred.
*/
error ERC721InvalidSender(address sender);
/**
* @dev Indicates a failure with the token `receiver`. Used in transfers.
* @param receiver Address to which tokens are being transferred.
*/
error ERC721InvalidReceiver(address receiver);
/**
* @dev Indicates a failure with the `operator`’s approval. Used in transfers.
* @param operator Address that may be allowed to operate on tokens without being their owner.
* @param tokenId Identifier number of a token.
*/
error ERC721InsufficientApproval(address operator, uint256 tokenId);
/**
* @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
* @param approver Address initiating an approval operation.
*/
error ERC721InvalidApprover(address approver);
/**
* @dev Indicates a failure with the `operator` to be approved. Used in approvals.
* @param operator Address that may be allowed to operate on tokens without being their owner.
*/
error ERC721InvalidOperator(address operator);
}
/**
* @dev Standard ERC-1155 Errors
* Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-1155 tokens.
*/
interface IERC1155Errors {
/**
* @dev Indicates an error related to the current `balance` of a `sender`. Used in transfers.
* @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.
* @param tokenId Identifier number of a token.
*/
error ERC1155InsufficientBalance(address sender, uint256 balance, uint256 needed, uint256 tokenId);
/**
* @dev Indicates a failure with the token `sender`. Used in transfers.
* @param sender Address whose tokens are being transferred.
*/
error ERC1155InvalidSender(address sender);
/**
* @dev Indicates a failure with the token `receiver`. Used in transfers.
* @param receiver Address to which tokens are being transferred.
*/
error ERC1155InvalidReceiver(address receiver);
/**
* @dev Indicates a failure with the `operator`’s approval. Used in transfers.
* @param operator Address that may be allowed to operate on tokens without being their owner.
* @param owner Address of the current owner of a token.
*/
error ERC1155MissingApprovalForAll(address operator, address owner);
/**
* @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
* @param approver Address initiating an approval operation.
*/
error ERC1155InvalidApprover(address approver);
/**
* @dev Indicates a failure with the `operator` to be approved. Used in approvals.
* @param operator Address that may be allowed to operate on tokens without being their owner.
*/
error ERC1155InvalidOperator(address operator);
/**
* @dev Indicates an array length mismatch between ids and values in a safeBatchTransferFrom operation.
* Used in batch transfers.
* @param idsLength Length of the array of token identifiers
* @param valuesLength Length of the array of token amounts
*/
error ERC1155InvalidArrayLength(uint256 idsLength, uint256 valuesLength);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (interfaces/IERC1363.sol)
pragma solidity ^0.8.20;
import {IERC20} from "./IERC20.sol";
import {IERC165} from "./IERC165.sol";
/**
* @title IERC1363
* @dev Interface of the ERC-1363 standard as defined in the https://eips.ethereum.org/EIPS/eip-1363[ERC-1363].
*
* Defines an extension interface for ERC-20 tokens that supports executing code on a recipient contract
* after `transfer` or `transferFrom`, or code on a spender contract after `approve`, in a single transaction.
*/
interface IERC1363 is IERC20, IERC165 {
/*
* Note: the ERC-165 identifier for this interface is 0xb0202a11.
* 0xb0202a11 ===
* bytes4(keccak256('transferAndCall(address,uint256)')) ^
* bytes4(keccak256('transferAndCall(address,uint256,bytes)')) ^
* bytes4(keccak256('transferFromAndCall(address,address,uint256)')) ^
* bytes4(keccak256('transferFromAndCall(address,address,uint256,bytes)')) ^
* bytes4(keccak256('approveAndCall(address,uint256)')) ^
* bytes4(keccak256('approveAndCall(address,uint256,bytes)'))
*/
/**
* @dev Moves a `value` amount of tokens from the caller's account to `to`
* and then calls {IERC1363Receiver-onTransferReceived} on `to`.
* @param to The address which you want to transfer to.
* @param value The amount of tokens to be transferred.
* @return A boolean value indicating whether the operation succeeded unless throwing.
*/
function transferAndCall(address to, uint256 value) external returns (bool);
/**
* @dev Moves a `value` amount of tokens from the caller's account to `to`
* and then calls {IERC1363Receiver-onTransferReceived} on `to`.
* @param to The address which you want to transfer to.
* @param value The amount of tokens to be transferred.
* @param data Additional data with no specified format, sent in call to `to`.
* @return A boolean value indicating whether the operation succeeded unless throwing.
*/
function transferAndCall(address to, uint256 value, bytes calldata data) external returns (bool);
/**
* @dev Moves a `value` amount of tokens from `from` to `to` using the allowance mechanism
* and then calls {IERC1363Receiver-onTransferReceived} on `to`.
* @param from The address which you want to send tokens from.
* @param to The address which you want to transfer to.
* @param value The amount of tokens to be transferred.
* @return A boolean value indicating whether the operation succeeded unless throwing.
*/
function transferFromAndCall(address from, address to, uint256 value) external returns (bool);
/**
* @dev Moves a `value` amount of tokens from `from` to `to` using the allowance mechanism
* and then calls {IERC1363Receiver-onTransferReceived} on `to`.
* @param from The address which you want to send tokens from.
* @param to The address which you want to transfer to.
* @param value The amount of tokens to be transferred.
* @param data Additional data with no specified format, sent in call to `to`.
* @return A boolean value indicating whether the operation succeeded unless throwing.
*/
function transferFromAndCall(address from, address to, uint256 value, bytes calldata data) external returns (bool);
/**
* @dev Sets a `value` amount of tokens as the allowance of `spender` over the
* caller's tokens and then calls {IERC1363Spender-onApprovalReceived} on `spender`.
* @param spender The address which will spend the funds.
* @param value The amount of tokens to be spent.
* @return A boolean value indicating whether the operation succeeded unless throwing.
*/
function approveAndCall(address spender, uint256 value) external returns (bool);
/**
* @dev Sets a `value` amount of tokens as the allowance of `spender` over the
* caller's tokens and then calls {IERC1363Spender-onApprovalReceived} on `spender`.
* @param spender The address which will spend the funds.
* @param value The amount of tokens to be spent.
* @param data Additional data with no specified format, sent in call to `spender`.
* @return A boolean value indicating whether the operation succeeded unless throwing.
*/
function approveAndCall(address spender, uint256 value, bytes calldata data) external returns (bool);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC165.sol)
pragma solidity ^0.8.20;
import {IERC165} from "../utils/introspection/IERC165.sol";
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC20.sol)
pragma solidity ^0.8.20;
import {IERC20} from "../token/ERC20/IERC20.sol";
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (interfaces/IERC5267.sol)
pragma solidity ^0.8.20;
interface IERC5267 {
/**
* @dev MAY be emitted to signal that the domain could have changed.
*/
event EIP712DomainChanged();
/**
* @dev returns the fields and values that describe the domain separator used by this contract for EIP-712
* signature.
*/
function eip712Domain()
external
view
returns (
bytes1 fields,
string memory name,
string memory version,
uint256 chainId,
address verifyingContract,
bytes32 salt,
uint256[] memory extensions
);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.2.0) (token/ERC20/ERC20.sol)
pragma solidity ^0.8.20;
import {IERC20} from "./IERC20.sol";
import {IERC20Metadata} from "./extensions/IERC20Metadata.sol";
import {Context} from "../../utils/Context.sol";
import {IERC20Errors} from "../../interfaces/draft-IERC6093.sol";
/**
* @dev Implementation of the {IERC20} interface.
*
* This implementation is agnostic to the way tokens are created. This means
* that a supply mechanism has to be added in a derived contract using {_mint}.
*
* TIP: For a detailed writeup see our guide
* https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
* to implement supply mechanisms].
*
* The default value of {decimals} is 18. To change this, you should override
* this function so it returns a different value.
*
* We have followed general OpenZeppelin Contracts guidelines: functions revert
* instead returning `false` on failure. This behavior is nonetheless
* conventional and does not conflict with the expectations of ERC-20
* applications.
*/
abstract contract ERC20 is Context, IERC20, IERC20Metadata, IERC20Errors {
mapping(address account => uint256) private _balances;
mapping(address account => mapping(address spender => uint256)) private _allowances;
uint256 private _totalSupply;
string private _name;
string private _symbol;
/**
* @dev Sets the values for {name} and {symbol}.
*
* All two of these values are immutable: they can only be set once during
* construction.
*/
constructor(string memory name_, string memory symbol_) {
_name = name_;
_symbol = symbol_;
}
/**
* @dev Returns the name of the token.
*/
function name() public view virtual returns (string memory) {
return _name;
}
/**
* @dev Returns the symbol of the token, usually a shorter version of the
* name.
*/
function symbol() public view virtual returns (string memory) {
return _symbol;
}
/**
* @dev Returns the number of decimals used to get its user representation.
* For example, if `decimals` equals `2`, a balance of `505` tokens should
* be displayed to a user as `5.05` (`505 / 10 ** 2`).
*
* Tokens usually opt for a value of 18, imitating the relationship between
* Ether and Wei. This is the default value returned by this function, unless
* it's overridden.
*
* NOTE: This information is only used for _display_ purposes: it in
* no way affects any of the arithmetic of the contract, including
* {IERC20-balanceOf} and {IERC20-transfer}.
*/
function decimals() public view virtual returns (uint8) {
return 18;
}
/**
* @dev See {IERC20-totalSupply}.
*/
function totalSupply() public view virtual returns (uint256) {
return _totalSupply;
}
/**
* @dev See {IERC20-balanceOf}.
*/
function balanceOf(address account) public view virtual returns (uint256) {
return _balances[account];
}
/**
* @dev See {IERC20-transfer}.
*
* Requirements:
*
* - `to` cannot be the zero address.
* - the caller must have a balance of at least `value`.
*/
function transfer(address to, uint256 value) public virtual returns (bool) {
address owner = _msgSender();
_transfer(owner, to, value);
return true;
}
/**
* @dev See {IERC20-allowance}.
*/
function allowance(address owner, address spender) public view virtual returns (uint256) {
return _allowances[owner][spender];
}
/**
* @dev See {IERC20-approve}.
*
* NOTE: If `value` is the maximum `uint256`, the allowance is not updated on
* `transferFrom`. This is semantically equivalent to an infinite approval.
*
* Requirements:
*
* - `spender` cannot be the zero address.
*/
function approve(address spender, uint256 value) public virtual returns (bool) {
address owner = _msgSender();
_approve(owner, spender, value);
return true;
}
/**
* @dev See {IERC20-transferFrom}.
*
* Skips emitting an {Approval} event indicating an allowance update. This is not
* required by the ERC. See {xref-ERC20-_approve-address-address-uint256-bool-}[_approve].
*
* NOTE: Does not update the allowance if the current allowance
* is the maximum `uint256`.
*
* Requirements:
*
* - `from` and `to` cannot be the zero address.
* - `from` must have a balance of at least `value`.
* - the caller must have allowance for ``from``'s tokens of at least
* `value`.
*/
function transferFrom(address from, address to, uint256 value) public virtual returns (bool) {
address spender = _msgSender();
_spendAllowance(from, spender, value);
_transfer(from, to, value);
return true;
}
/**
* @dev Moves a `value` amount of tokens from `from` to `to`.
*
* This internal function is equivalent to {transfer}, and can be used to
* e.g. implement automatic token fees, slashing mechanisms, etc.
*
* Emits a {Transfer} event.
*
* NOTE: This function is not virtual, {_update} should be overridden instead.
*/
function _transfer(address from, address to, uint256 value) internal {
if (from == address(0)) {
revert ERC20InvalidSender(address(0));
}
if (to == address(0)) {
revert ERC20InvalidReceiver(address(0));
}
_update(from, to, value);
}
/**
* @dev Transfers a `value` amount of tokens from `from` to `to`, or alternatively mints (or burns) if `from`
* (or `to`) is the zero address. All customizations to transfers, mints, and burns should be done by overriding
* this function.
*
* Emits a {Transfer} event.
*/
function _update(address from, address to, uint256 value) internal virtual {
if (from == address(0)) {
// Overflow check required: The rest of the code assumes that totalSupply never overflows
_totalSupply += value;
} else {
uint256 fromBalance = _balances[from];
if (fromBalance < value) {
revert ERC20InsufficientBalance(from, fromBalance, value);
}
unchecked {
// Overflow not possible: value <= fromBalance <= totalSupply.
_balances[from] = fromBalance - value;
}
}
if (to == address(0)) {
unchecked {
// Overflow not possible: value <= totalSupply or value <= fromBalance <= totalSupply.
_totalSupply -= value;
}
} else {
unchecked {
// Overflow not possible: balance + value is at most totalSupply, which we know fits into a uint256.
_balances[to] += value;
}
}
emit Transfer(from, to, value);
}
/**
* @dev Creates a `value` amount of tokens and assigns them to `account`, by transferring it from address(0).
* Relies on the `_update` mechanism
*
* Emits a {Transfer} event with `from` set to the zero address.
*
* NOTE: This function is not virtual, {_update} should be overridden instead.
*/
function _mint(address account, uint256 value) internal {
if (account == address(0)) {
revert ERC20InvalidReceiver(address(0));
}
_update(address(0), account, value);
}
/**
* @dev Destroys a `value` amount of tokens from `account`, lowering the total supply.
* Relies on the `_update` mechanism.
*
* Emits a {Transfer} event with `to` set to the zero address.
*
* NOTE: This function is not virtual, {_update} should be overridden instead
*/
function _burn(address account, uint256 value) internal {
if (account == address(0)) {
revert ERC20InvalidSender(address(0));
}
_update(account, address(0), value);
}
/**
* @dev Sets `value` as the allowance of `spender` over the `owner` s tokens.
*
* This internal function is equivalent to `approve`, and can be used to
* e.g. set automatic allowances for certain subsystems, etc.
*
* Emits an {Approval} event.
*
* Requirements:
*
* - `owner` cannot be the zero address.
* - `spender` cannot be the zero address.
*
* Overrides to this logic should be done to the variant with an additional `bool emitEvent` argument.
*/
function _approve(address owner, address spender, uint256 value) internal {
_approve(owner, spender, value, true);
}
/**
* @dev Variant of {_approve} with an optional flag to enable or disable the {Approval} event.
*
* By default (when calling {_approve}) the flag is set to true. On the other hand, approval changes made by
* `_spendAllowance` during the `transferFrom` operation set the flag to false. This saves gas by not emitting any
* `Approval` event during `transferFrom` operations.
*
* Anyone who wishes to continue emitting `Approval` events on the`transferFrom` operation can force the flag to
* true using the following override:
*
* ```solidity
* function _approve(address owner, address spender, uint256 value, bool) internal virtual override {
* super._approve(owner, spender, value, true);
* }
* ```
*
* Requirements are the same as {_approve}.
*/
function _approve(address owner, address spender, uint256 value, bool emitEvent) internal virtual {
if (owner == address(0)) {
revert ERC20InvalidApprover(address(0));
}
if (spender == address(0)) {
revert ERC20InvalidSpender(address(0));
}
_allowances[owner][spender] = value;
if (emitEvent) {
emit Approval(owner, spender, value);
}
}
/**
* @dev Updates `owner` s allowance for `spender` based on spent `value`.
*
* Does not update the allowance value in case of infinite allowance.
* Revert if not enough allowance is available.
*
* Does not emit an {Approval} event.
*/
function _spendAllowance(address owner, address spender, uint256 value) internal virtual {
uint256 currentAllowance = allowance(owner, spender);
if (currentAllowance < type(uint256).max) {
if (currentAllowance < value) {
revert ERC20InsufficientAllowance(spender, currentAllowance, value);
}
unchecked {
_approve(owner, spender, currentAllowance - value, false);
}
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/ERC20Permit.sol)
pragma solidity ^0.8.20;
import {IERC20Permit} from "./IERC20Permit.sol";
import {ERC20} from "../ERC20.sol";
import {ECDSA} from "../../../utils/cryptography/ECDSA.sol";
import {EIP712} from "../../../utils/cryptography/EIP712.sol";
import {Nonces} from "../../../utils/Nonces.sol";
/**
* @dev Implementation of the ERC-20 Permit extension allowing approvals to be made via signatures, as defined in
* https://eips.ethereum.org/EIPS/eip-2612[ERC-2612].
*
* Adds the {permit} method, which can be used to change an account's ERC-20 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.
*/
abstract contract ERC20Permit is ERC20, IERC20Permit, EIP712, Nonces {
bytes32 private constant PERMIT_TYPEHASH =
keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
/**
* @dev Permit deadline has expired.
*/
error ERC2612ExpiredSignature(uint256 deadline);
/**
* @dev Mismatched signature.
*/
error ERC2612InvalidSigner(address signer, address owner);
/**
* @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `"1"`.
*
* It's a good idea to use the same `name` that is defined as the ERC-20 token name.
*/
constructor(string memory name) EIP712(name, "1") {}
/**
* @inheritdoc IERC20Permit
*/
function permit(
address owner,
address spender,
uint256 value,
uint256 deadline,
uint8 v,
bytes32 r,
bytes32 s
) public virtual {
if (block.timestamp > deadline) {
revert ERC2612ExpiredSignature(deadline);
}
bytes32 structHash = keccak256(abi.encode(PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));
bytes32 hash = _hashTypedDataV4(structHash);
address signer = ECDSA.recover(hash, v, r, s);
if (signer != owner) {
revert ERC2612InvalidSigner(signer, owner);
}
_approve(owner, spender, value);
}
/**
* @inheritdoc IERC20Permit
*/
function nonces(address owner) public view virtual override(IERC20Permit, Nonces) returns (uint256) {
return super.nonces(owner);
}
/**
* @inheritdoc IERC20Permit
*/
// solhint-disable-next-line func-name-mixedcase
function DOMAIN_SEPARATOR() external view virtual returns (bytes32) {
return _domainSeparatorV4();
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/IERC20Metadata.sol)
pragma solidity ^0.8.20;
import {IERC20} from "../IERC20.sol";
/**
* @dev Interface for the optional metadata functions from the ERC-20 standard.
*/
interface IERC20Metadata is IERC20 {
/**
* @dev Returns the name of the token.
*/
function name() external view returns (string memory);
/**
* @dev Returns the symbol of the token.
*/
function symbol() external view returns (string memory);
/**
* @dev Returns the decimals places of the token.
*/
function decimals() external view returns (uint8);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/extensions/IERC20Permit.sol)
pragma solidity ^0.8.20;
/**
* @dev Interface of the ERC-20 Permit extension allowing approvals to be made via signatures, as defined in
* https://eips.ethereum.org/EIPS/eip-2612[ERC-2612].
*
* Adds the {permit} method, which can be used to change an account's ERC-20 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.
*
* ==== Security Considerations
*
* There are two important considerations concerning the use of `permit`. The first is that a valid permit signature
* expresses an allowance, and it should not be assumed to convey additional meaning. In particular, it should not be
* considered as an intention to spend the allowance in any specific way. The second is that because permits have
* built-in replay protection and can be submitted by anyone, they can be frontrun. A protocol that uses permits should
* take this into consideration and allow a `permit` call to fail. Combining these two aspects, a pattern that may be
* generally recommended is:
*
* ```solidity
* function doThingWithPermit(..., uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s) public {
* try token.permit(msg.sender, address(this), value, deadline, v, r, s) {} catch {}
* doThing(..., value);
* }
*
* function doThing(..., uint256 value) public {
* token.safeTransferFrom(msg.sender, address(this), value);
* ...
* }
* ```
*
* Observe that: 1) `msg.sender` is used as the owner, leaving no ambiguity as to the signer intent, and 2) the use of
* `try/catch` allows the permit to fail and makes the code tolerant to frontrunning. (See also
* {SafeERC20-safeTransferFrom}).
*
* Additionally, note that smart contract wallets (such as Argent or Safe) are not able to produce permit signatures, so
* contracts should have entry points that don't rely on permit.
*/
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].
*
* CAUTION: See Security Considerations above.
*/
function permit(
address owner,
address spender,
uint256 value,
uint256 deadline,
uint8 v,
bytes32 r,
bytes32 s
) external;
/**
* @dev Returns the current nonce for `owner`. This value must be
* included whenever a signature is generated for {permit}.
*
* Every successful call to {permit} increases ``owner``'s nonce by one. This
* prevents a signature from being used multiple times.
*/
function nonces(address owner) external view returns (uint256);
/**
* @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
*/
// solhint-disable-next-line func-name-mixedcase
function DOMAIN_SEPARATOR() external view returns (bytes32);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (token/ERC20/IERC20.sol)
pragma solidity ^0.8.20;
/**
* @dev Interface of the ERC-20 standard as defined in the ERC.
*/
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 value of tokens in existence.
*/
function totalSupply() external view returns (uint256);
/**
* @dev Returns the value of tokens owned by `account`.
*/
function balanceOf(address account) external view returns (uint256);
/**
* @dev Moves a `value` amount of 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 value) 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 a `value` amount of tokens 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 value) external returns (bool);
/**
* @dev Moves a `value` amount of tokens from `from` to `to` using the
* allowance mechanism. `value` 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 value) external returns (bool);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.2.0) (token/ERC20/utils/SafeERC20.sol)
pragma solidity ^0.8.20;
import {IERC20} from "../IERC20.sol";
import {IERC1363} from "../../../interfaces/IERC1363.sol";
/**
* @title SafeERC20
* @dev Wrappers around ERC-20 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 {
/**
* @dev An operation with an ERC-20 token failed.
*/
error SafeERC20FailedOperation(address token);
/**
* @dev Indicates a failed `decreaseAllowance` request.
*/
error SafeERC20FailedDecreaseAllowance(address spender, uint256 currentAllowance, uint256 requestedDecrease);
/**
* @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.encodeCall(token.transfer, (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.encodeCall(token.transferFrom, (from, to, 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.
*
* IMPORTANT: If the token implements ERC-7674 (ERC-20 with temporary allowance), and if the "client"
* smart contract uses ERC-7674 to set temporary allowances, then the "client" smart contract should avoid using
* this function. Performing a {safeIncreaseAllowance} or {safeDecreaseAllowance} operation on a token contract
* that has a non-zero temporary allowance (for that particular owner-spender) will result in unexpected behavior.
*/
function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
uint256 oldAllowance = token.allowance(address(this), spender);
forceApprove(token, spender, oldAllowance + value);
}
/**
* @dev Decrease the calling contract's allowance toward `spender` by `requestedDecrease`. If `token` returns no
* value, non-reverting calls are assumed to be successful.
*
* IMPORTANT: If the token implements ERC-7674 (ERC-20 with temporary allowance), and if the "client"
* smart contract uses ERC-7674 to set temporary allowances, then the "client" smart contract should avoid using
* this function. Performing a {safeIncreaseAllowance} or {safeDecreaseAllowance} operation on a token contract
* that has a non-zero temporary allowance (for that particular owner-spender) will result in unexpected behavior.
*/
function safeDecreaseAllowance(IERC20 token, address spender, uint256 requestedDecrease) internal {
unchecked {
uint256 currentAllowance = token.allowance(address(this), spender);
if (currentAllowance < requestedDecrease) {
revert SafeERC20FailedDecreaseAllowance(spender, currentAllowance, requestedDecrease);
}
forceApprove(token, spender, currentAllowance - requestedDecrease);
}
}
/**
* @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.
*
* NOTE: If the token implements ERC-7674, this function will not modify any temporary allowance. This function
* only sets the "standard" allowance. Any temporary allowance will remain active, in addition to the value being
* set here.
*/
function forceApprove(IERC20 token, address spender, uint256 value) internal {
bytes memory approvalCall = abi.encodeCall(token.approve, (spender, value));
if (!_callOptionalReturnBool(token, approvalCall)) {
_callOptionalReturn(token, abi.encodeCall(token.approve, (spender, 0)));
_callOptionalReturn(token, approvalCall);
}
}
/**
* @dev Performs an {ERC1363} transferAndCall, with a fallback to the simple {ERC20} transfer if the target has no
* code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when
* targeting contracts.
*
* Reverts if the returned value is other than `true`.
*/
function transferAndCallRelaxed(IERC1363 token, address to, uint256 value, bytes memory data) internal {
if (to.code.length == 0) {
safeTransfer(token, to, value);
} else if (!token.transferAndCall(to, value, data)) {
revert SafeERC20FailedOperation(address(token));
}
}
/**
* @dev Performs an {ERC1363} transferFromAndCall, with a fallback to the simple {ERC20} transferFrom if the target
* has no code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when
* targeting contracts.
*
* Reverts if the returned value is other than `true`.
*/
function transferFromAndCallRelaxed(
IERC1363 token,
address from,
address to,
uint256 value,
bytes memory data
) internal {
if (to.code.length == 0) {
safeTransferFrom(token, from, to, value);
} else if (!token.transferFromAndCall(from, to, value, data)) {
revert SafeERC20FailedOperation(address(token));
}
}
/**
* @dev Performs an {ERC1363} approveAndCall, with a fallback to the simple {ERC20} approve if the target has no
* code. This can be used to implement an {ERC721}-like safe transfer that rely on {ERC1363} checks when
* targeting contracts.
*
* NOTE: When the recipient address (`to`) has no code (i.e. is an EOA), this function behaves as {forceApprove}.
* Opposedly, when the recipient address (`to`) has code, this function only attempts to call {ERC1363-approveAndCall}
* once without retrying, and relies on the returned value to be true.
*
* Reverts if the returned value is other than `true`.
*/
function approveAndCallRelaxed(IERC1363 token, address to, uint256 value, bytes memory data) internal {
if (to.code.length == 0) {
forceApprove(token, to, value);
} else if (!token.approveAndCall(to, value, data)) {
revert SafeERC20FailedOperation(address(token));
}
}
/**
* @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 {_callOptionalReturnBool} that reverts if call fails to meet the requirements.
*/
function _callOptionalReturn(IERC20 token, bytes memory data) private {
uint256 returnSize;
uint256 returnValue;
assembly ("memory-safe") {
let success := call(gas(), token, 0, add(data, 0x20), mload(data), 0, 0x20)
// bubble errors
if iszero(success) {
let ptr := mload(0x40)
returndatacopy(ptr, 0, returndatasize())
revert(ptr, returndatasize())
}
returnSize := returndatasize()
returnValue := mload(0)
}
if (returnSize == 0 ? address(token).code.length == 0 : returnValue != 1) {
revert SafeERC20FailedOperation(address(token));
}
}
/**
* @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 silently catches all reverts and returns a bool instead.
*/
function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {
bool success;
uint256 returnSize;
uint256 returnValue;
assembly ("memory-safe") {
success := call(gas(), token, 0, add(data, 0x20), mload(data), 0, 0x20)
returnSize := returndatasize()
returnValue := mload(0)
}
return success && (returnSize == 0 ? address(token).code.length > 0 : returnValue == 1);
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)
pragma solidity ^0.8.20;
/**
* @dev Provides information about the current execution context, including the
* sender of the transaction and its data. While these are generally available
* via msg.sender and msg.data, they should not be accessed in such a direct
* manner, since when dealing with meta-transactions the account sending and
* paying for execution may not be the actual sender (as far as an application
* is concerned).
*
* This contract is only required for intermediate, library-like contracts.
*/
abstract contract Context {
function _msgSender() internal view virtual returns (address) {
return msg.sender;
}
function _msgData() internal view virtual returns (bytes calldata) {
return msg.data;
}
function _contextSuffixLength() internal view virtual returns (uint256) {
return 0;
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/ECDSA.sol)
pragma solidity ^0.8.20;
/**
* @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
*
* These functions can be used to verify that a message was signed by the holder
* of the private keys of a given address.
*/
library ECDSA {
enum RecoverError {
NoError,
InvalidSignature,
InvalidSignatureLength,
InvalidSignatureS
}
/**
* @dev The signature derives the `address(0)`.
*/
error ECDSAInvalidSignature();
/**
* @dev The signature has an invalid length.
*/
error ECDSAInvalidSignatureLength(uint256 length);
/**
* @dev The signature has an S value that is in the upper half order.
*/
error ECDSAInvalidSignatureS(bytes32 s);
/**
* @dev Returns the address that signed a hashed message (`hash`) with `signature` or an error. This will not
* return address(0) without also returning an error description. Errors are documented using an enum (error type)
* and a bytes32 providing additional information about the error.
*
* If no error is returned, then the address can be used for verification purposes.
*
* The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
* this function rejects them by requiring the `s` value to be in the lower
* half order, and the `v` value to be either 27 or 28.
*
* IMPORTANT: `hash` _must_ be the result of a hash operation for the
* verification to be secure: it is possible to craft signatures that
* recover to arbitrary addresses for non-hashed data. A safe way to ensure
* this is by receiving a hash of the original message (which may otherwise
* be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
*
* Documentation for signature generation:
* - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
* - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
*/
function tryRecover(
bytes32 hash,
bytes memory signature
) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
if (signature.length == 65) {
bytes32 r;
bytes32 s;
uint8 v;
// ecrecover takes the signature parameters, and the only way to get them
// currently is to use assembly.
assembly ("memory-safe") {
r := mload(add(signature, 0x20))
s := mload(add(signature, 0x40))
v := byte(0, mload(add(signature, 0x60)))
}
return tryRecover(hash, v, r, s);
} else {
return (address(0), RecoverError.InvalidSignatureLength, bytes32(signature.length));
}
}
/**
* @dev Returns the address that signed a hashed message (`hash`) with
* `signature`. This address can then be used for verification purposes.
*
* The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
* this function rejects them by requiring the `s` value to be in the lower
* half order, and the `v` value to be either 27 or 28.
*
* IMPORTANT: `hash` _must_ be the result of a hash operation for the
* verification to be secure: it is possible to craft signatures that
* recover to arbitrary addresses for non-hashed data. A safe way to ensure
* this is by receiving a hash of the original message (which may otherwise
* be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
*/
function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
(address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, signature);
_throwError(error, errorArg);
return recovered;
}
/**
* @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
*
* See https://eips.ethereum.org/EIPS/eip-2098[ERC-2098 short signatures]
*/
function tryRecover(
bytes32 hash,
bytes32 r,
bytes32 vs
) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
unchecked {
bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
// We do not check for an overflow here since the shift operation results in 0 or 1.
uint8 v = uint8((uint256(vs) >> 255) + 27);
return tryRecover(hash, v, r, s);
}
}
/**
* @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
*/
function recover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address) {
(address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, r, vs);
_throwError(error, errorArg);
return recovered;
}
/**
* @dev Overload of {ECDSA-tryRecover} that receives the `v`,
* `r` and `s` signature fields separately.
*/
function tryRecover(
bytes32 hash,
uint8 v,
bytes32 r,
bytes32 s
) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
// EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
// unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
// the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
// signatures from current libraries generate a unique signature with an s-value in the lower half order.
//
// If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
// with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
// vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
// these malleable signatures as well.
if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
return (address(0), RecoverError.InvalidSignatureS, s);
}
// If the signature is valid (and not malleable), return the signer address
address signer = ecrecover(hash, v, r, s);
if (signer == address(0)) {
return (address(0), RecoverError.InvalidSignature, bytes32(0));
}
return (signer, RecoverError.NoError, bytes32(0));
}
/**
* @dev Overload of {ECDSA-recover} that receives the `v`,
* `r` and `s` signature fields separately.
*/
function recover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address) {
(address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, v, r, s);
_throwError(error, errorArg);
return recovered;
}
/**
* @dev Optionally reverts with the corresponding custom error according to the `error` argument provided.
*/
function _throwError(RecoverError error, bytes32 errorArg) private pure {
if (error == RecoverError.NoError) {
return; // no error: do nothing
} else if (error == RecoverError.InvalidSignature) {
revert ECDSAInvalidSignature();
} else if (error == RecoverError.InvalidSignatureLength) {
revert ECDSAInvalidSignatureLength(uint256(errorArg));
} else if (error == RecoverError.InvalidSignatureS) {
revert ECDSAInvalidSignatureS(errorArg);
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/EIP712.sol)
pragma solidity ^0.8.20;
import {MessageHashUtils} from "./MessageHashUtils.sol";
import {ShortStrings, ShortString} from "../ShortStrings.sol";
import {IERC5267} from "../../interfaces/IERC5267.sol";
/**
* @dev https://eips.ethereum.org/EIPS/eip-712[EIP-712] is a standard for hashing and signing of typed structured data.
*
* The encoding scheme specified in the EIP requires a domain separator and a hash of the typed structured data, whose
* encoding is very generic and therefore its implementation in Solidity is not feasible, thus this contract
* does not implement the encoding itself. Protocols need to implement the type-specific encoding they need in order to
* produce the hash of their typed data using a combination of `abi.encode` and `keccak256`.
*
* This contract implements the EIP-712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
* scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
* ({_hashTypedDataV4}).
*
* The implementation of the domain separator was designed to be as efficient as possible while still properly updating
* the chain id to protect against replay attacks on an eventual fork of the chain.
*
* NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
* https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
*
* NOTE: In the upgradeable version of this contract, the cached values will correspond to the address, and the domain
* separator of the implementation contract. This will cause the {_domainSeparatorV4} function to always rebuild the
* separator from the immutable values, which is cheaper than accessing a cached version in cold storage.
*
* @custom:oz-upgrades-unsafe-allow state-variable-immutable
*/
abstract contract EIP712 is IERC5267 {
using ShortStrings for *;
bytes32 private constant TYPE_HASH =
keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");
// Cache the domain separator as an immutable value, but also store the chain id that it corresponds to, in order to
// invalidate the cached domain separator if the chain id changes.
bytes32 private immutable _cachedDomainSeparator;
uint256 private immutable _cachedChainId;
address private immutable _cachedThis;
bytes32 private immutable _hashedName;
bytes32 private immutable _hashedVersion;
ShortString private immutable _name;
ShortString private immutable _version;
string private _nameFallback;
string private _versionFallback;
/**
* @dev Initializes the domain separator and parameter caches.
*
* The meaning of `name` and `version` is specified in
* https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP-712]:
*
* - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
* - `version`: the current major version of the signing domain.
*
* NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
* contract upgrade].
*/
constructor(string memory name, string memory version) {
_name = name.toShortStringWithFallback(_nameFallback);
_version = version.toShortStringWithFallback(_versionFallback);
_hashedName = keccak256(bytes(name));
_hashedVersion = keccak256(bytes(version));
_cachedChainId = block.chainid;
_cachedDomainSeparator = _buildDomainSeparator();
_cachedThis = address(this);
}
/**
* @dev Returns the domain separator for the current chain.
*/
function _domainSeparatorV4() internal view returns (bytes32) {
if (address(this) == _cachedThis && block.chainid == _cachedChainId) {
return _cachedDomainSeparator;
} else {
return _buildDomainSeparator();
}
}
function _buildDomainSeparator() private view returns (bytes32) {
return keccak256(abi.encode(TYPE_HASH, _hashedName, _hashedVersion, block.chainid, address(this)));
}
/**
* @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
* function returns the hash of the fully encoded EIP712 message for this domain.
*
* This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
*
* ```solidity
* bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
* keccak256("Mail(address to,string contents)"),
* mailTo,
* keccak256(bytes(mailContents))
* )));
* address signer = ECDSA.recover(digest, signature);
* ```
*/
function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
return MessageHashUtils.toTypedDataHash(_domainSeparatorV4(), structHash);
}
/**
* @dev See {IERC-5267}.
*/
function eip712Domain()
public
view
virtual
returns (
bytes1 fields,
string memory name,
string memory version,
uint256 chainId,
address verifyingContract,
bytes32 salt,
uint256[] memory extensions
)
{
return (
hex"0f", // 01111
_EIP712Name(),
_EIP712Version(),
block.chainid,
address(this),
bytes32(0),
new uint256[](0)
);
}
/**
* @dev The name parameter for the EIP712 domain.
*
* NOTE: By default this function reads _name which is an immutable value.
* It only reads from storage if necessary (in case the value is too large to fit in a ShortString).
*/
// solhint-disable-next-line func-name-mixedcase
function _EIP712Name() internal view returns (string memory) {
return _name.toStringWithFallback(_nameFallback);
}
/**
* @dev The version parameter for the EIP712 domain.
*
* NOTE: By default this function reads _version which is an immutable value.
* It only reads from storage if necessary (in case the value is too large to fit in a ShortString).
*/
// solhint-disable-next-line func-name-mixedcase
function _EIP712Version() internal view returns (string memory) {
return _version.toStringWithFallback(_versionFallback);
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/cryptography/MessageHashUtils.sol)
pragma solidity ^0.8.20;
import {Strings} from "../Strings.sol";
/**
* @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.
*
* The library provides methods for generating a hash of a message that conforms to the
* https://eips.ethereum.org/EIPS/eip-191[ERC-191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
* specifications.
*/
library MessageHashUtils {
/**
* @dev Returns the keccak256 digest of an ERC-191 signed data with version
* `0x45` (`personal_sign` messages).
*
* The digest is calculated by prefixing a bytes32 `messageHash` with
* `"\x19Ethereum Signed Message:\n32"` and hashing the result. It corresponds with the
* hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.
*
* NOTE: The `messageHash` parameter is intended to be the result of hashing a raw message with
* keccak256, although any bytes32 value can be safely used because the final digest will
* be re-hashed.
*
* See {ECDSA-recover}.
*/
function toEthSignedMessageHash(bytes32 messageHash) internal pure returns (bytes32 digest) {
assembly ("memory-safe") {
mstore(0x00, "\x19Ethereum Signed Message:\n32") // 32 is the bytes-length of messageHash
mstore(0x1c, messageHash) // 0x1c (28) is the length of the prefix
digest := keccak256(0x00, 0x3c) // 0x3c is the length of the prefix (0x1c) + messageHash (0x20)
}
}
/**
* @dev Returns the keccak256 digest of an ERC-191 signed data with version
* `0x45` (`personal_sign` messages).
*
* The digest is calculated by prefixing an arbitrary `message` with
* `"\x19Ethereum Signed Message:\n" + len(message)` and hashing the result. It corresponds with the
* hash signed when using the https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] JSON-RPC method.
*
* See {ECDSA-recover}.
*/
function toEthSignedMessageHash(bytes memory message) internal pure returns (bytes32) {
return
keccak256(bytes.concat("\x19Ethereum Signed Message:\n", bytes(Strings.toString(message.length)), message));
}
/**
* @dev Returns the keccak256 digest of an ERC-191 signed data with version
* `0x00` (data with intended validator).
*
* The digest is calculated by prefixing an arbitrary `data` with `"\x19\x00"` and the intended
* `validator` address. Then hashing the result.
*
* See {ECDSA-recover}.
*/
function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {
return keccak256(abi.encodePacked(hex"19_00", validator, data));
}
/**
* @dev Returns the keccak256 digest of an EIP-712 typed data (ERC-191 version `0x01`).
*
* The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with
* `\x19\x01` and hashing the result. It corresponds to the hash signed by the
* https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.
*
* See {ECDSA-recover}.
*/
function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 digest) {
assembly ("memory-safe") {
let ptr := mload(0x40)
mstore(ptr, hex"19_01")
mstore(add(ptr, 0x02), domainSeparator)
mstore(add(ptr, 0x22), structHash)
digest := keccak256(ptr, 0x42)
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/introspection/IERC165.sol)
pragma solidity ^0.8.20;
/**
* @dev Interface of the ERC-165 standard, as defined in the
* https://eips.ethereum.org/EIPS/eip-165[ERC].
*
* 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[ERC section]
* to learn more about how these ids are created.
*
* This function call must use less than 30 000 gas.
*/
function supportsInterface(bytes4 interfaceId) external view returns (bool);
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/Math.sol)
pragma solidity ^0.8.20;
import {Panic} from "../Panic.sol";
import {SafeCast} from "./SafeCast.sol";
/**
* @dev Standard math utilities missing in the Solidity language.
*/
library Math {
enum Rounding {
Floor, // Toward negative infinity
Ceil, // Toward positive infinity
Trunc, // Toward zero
Expand // Away from zero
}
/**
* @dev Returns the addition of two unsigned integers, with an success flag (no overflow).
*/
function tryAdd(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
uint256 c = a + b;
if (c < a) return (false, 0);
return (true, c);
}
}
/**
* @dev Returns the subtraction of two unsigned integers, with an success flag (no overflow).
*/
function trySub(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
if (b > a) return (false, 0);
return (true, a - b);
}
}
/**
* @dev Returns the multiplication of two unsigned integers, with an success flag (no overflow).
*/
function tryMul(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
// Gas optimization: this is cheaper than requiring 'a' not being zero, but the
// benefit is lost if 'b' is also tested.
// See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
if (a == 0) return (true, 0);
uint256 c = a * b;
if (c / a != b) return (false, 0);
return (true, c);
}
}
/**
* @dev Returns the division of two unsigned integers, with a success flag (no division by zero).
*/
function tryDiv(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
if (b == 0) return (false, 0);
return (true, a / b);
}
}
/**
* @dev Returns the remainder of dividing two unsigned integers, with a success flag (no division by zero).
*/
function tryMod(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
if (b == 0) return (false, 0);
return (true, a % b);
}
}
/**
* @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
*
* IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
* However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
* one branch when needed, making this function more expensive.
*/
function ternary(bool condition, uint256 a, uint256 b) internal pure returns (uint256) {
unchecked {
// branchless ternary works because:
// b ^ (a ^ b) == a
// b ^ 0 == b
return b ^ ((a ^ b) * SafeCast.toUint(condition));
}
}
/**
* @dev Returns the largest of two numbers.
*/
function max(uint256 a, uint256 b) internal pure returns (uint256) {
return ternary(a > b, a, b);
}
/**
* @dev Returns the smallest of two numbers.
*/
function min(uint256 a, uint256 b) internal pure returns (uint256) {
return ternary(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 towards infinity instead
* of rounding towards zero.
*/
function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
if (b == 0) {
// Guarantee the same behavior as in a regular Solidity division.
Panic.panic(Panic.DIVISION_BY_ZERO);
}
// The following calculation ensures accurate ceiling division without overflow.
// Since a is non-zero, (a - 1) / b will not overflow.
// The largest possible result occurs when (a - 1) / b is type(uint256).max,
// but the largest value we can obtain is type(uint256).max - 1, which happens
// when a = type(uint256).max and b = 1.
unchecked {
return SafeCast.toUint(a > 0) * ((a - 1) / b + 1);
}
}
/**
* @dev Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or
* denominator == 0.
*
* 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 2²⁵⁶ and mod 2²⁵⁶ - 1, then use
// the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
// variables such that product = prod1 * 2²⁵⁶ + prod0.
uint256 prod0 = x * y; // Least significant 256 bits of the product
uint256 prod1; // Most significant 256 bits of the product
assembly {
let mm := mulmod(x, y, not(0))
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 2²⁵⁶. Also prevents denominator == 0.
if (denominator <= prod1) {
Panic.panic(ternary(denominator == 0, Panic.DIVISION_BY_ZERO, Panic.UNDER_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.
uint256 twos = denominator & (0 - denominator);
assembly {
// Divide denominator by twos.
denominator := div(denominator, twos)
// Divide [prod1 prod0] by twos.
prod0 := div(prod0, twos)
// Flip twos such that it is 2²⁵⁶ / 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 2²⁵⁶. Now that denominator is an odd number, it has an inverse modulo 2²⁵⁶ such
// that denominator * inv ≡ 1 mod 2²⁵⁶. Compute the inverse by starting with a seed that is correct for
// four bits. That is, denominator * inv ≡ 1 mod 2⁴.
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 2⁸
inverse *= 2 - denominator * inverse; // inverse mod 2¹⁶
inverse *= 2 - denominator * inverse; // inverse mod 2³²
inverse *= 2 - denominator * inverse; // inverse mod 2⁶⁴
inverse *= 2 - denominator * inverse; // inverse mod 2¹²⁸
inverse *= 2 - denominator * inverse; // inverse mod 2²⁵⁶
// 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 2²⁵⁶. Since the preconditions guarantee that the outcome is
// less than 2²⁵⁶, 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;
}
}
/**
* @dev 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) {
return mulDiv(x, y, denominator) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0);
}
/**
* @dev Calculate the modular multiplicative inverse of a number in Z/nZ.
*
* If n is a prime, then Z/nZ is a field. In that case all elements are inversible, except 0.
* If n is not a prime, then Z/nZ is not a field, and some elements might not be inversible.
*
* If the input value is not inversible, 0 is returned.
*
* NOTE: If you know for sure that n is (big) a prime, it may be cheaper to use Fermat's little theorem and get the
* inverse using `Math.modExp(a, n - 2, n)`. See {invModPrime}.
*/
function invMod(uint256 a, uint256 n) internal pure returns (uint256) {
unchecked {
if (n == 0) return 0;
// The inverse modulo is calculated using the Extended Euclidean Algorithm (iterative version)
// Used to compute integers x and y such that: ax + ny = gcd(a, n).
// When the gcd is 1, then the inverse of a modulo n exists and it's x.
// ax + ny = 1
// ax = 1 + (-y)n
// ax ≡ 1 (mod n) # x is the inverse of a modulo n
// If the remainder is 0 the gcd is n right away.
uint256 remainder = a % n;
uint256 gcd = n;
// Therefore the initial coefficients are:
// ax + ny = gcd(a, n) = n
// 0a + 1n = n
int256 x = 0;
int256 y = 1;
while (remainder != 0) {
uint256 quotient = gcd / remainder;
(gcd, remainder) = (
// The old remainder is the next gcd to try.
remainder,
// Compute the next remainder.
// Can't overflow given that (a % gcd) * (gcd // (a % gcd)) <= gcd
// where gcd is at most n (capped to type(uint256).max)
gcd - remainder * quotient
);
(x, y) = (
// Increment the coefficient of a.
y,
// Decrement the coefficient of n.
// Can overflow, but the result is casted to uint256 so that the
// next value of y is "wrapped around" to a value between 0 and n - 1.
x - y * int256(quotient)
);
}
if (gcd != 1) return 0; // No inverse exists.
return ternary(x < 0, n - uint256(-x), uint256(x)); // Wrap the result if it's negative.
}
}
/**
* @dev Variant of {invMod}. More efficient, but only works if `p` is known to be a prime greater than `2`.
*
* From https://en.wikipedia.org/wiki/Fermat%27s_little_theorem[Fermat's little theorem], we know that if p is
* prime, then `a**(p-1) ≡ 1 mod p`. As a consequence, we have `a * a**(p-2) ≡ 1 mod p`, which means that
* `a**(p-2)` is the modular multiplicative inverse of a in Fp.
*
* NOTE: this function does NOT check that `p` is a prime greater than `2`.
*/
function invModPrime(uint256 a, uint256 p) internal view returns (uint256) {
unchecked {
return Math.modExp(a, p - 2, p);
}
}
/**
* @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m)
*
* Requirements:
* - modulus can't be zero
* - underlying staticcall to precompile must succeed
*
* IMPORTANT: The result is only valid if the underlying call succeeds. When using this function, make
* sure the chain you're using it on supports the precompiled contract for modular exponentiation
* at address 0x05 as specified in https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise,
* the underlying function will succeed given the lack of a revert, but the result may be incorrectly
* interpreted as 0.
*/
function modExp(uint256 b, uint256 e, uint256 m) internal view returns (uint256) {
(bool success, uint256 result) = tryModExp(b, e, m);
if (!success) {
Panic.panic(Panic.DIVISION_BY_ZERO);
}
return result;
}
/**
* @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m).
* It includes a success flag indicating if the operation succeeded. Operation will be marked as failed if trying
* to operate modulo 0 or if the underlying precompile reverted.
*
* IMPORTANT: The result is only valid if the success flag is true. When using this function, make sure the chain
* you're using it on supports the precompiled contract for modular exponentiation at address 0x05 as specified in
* https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise, the underlying function will succeed given the lack
* of a revert, but the result may be incorrectly interpreted as 0.
*/
function tryModExp(uint256 b, uint256 e, uint256 m) internal view returns (bool success, uint256 result) {
if (m == 0) return (false, 0);
assembly ("memory-safe") {
let ptr := mload(0x40)
// | Offset | Content | Content (Hex) |
// |-----------|------------|--------------------------------------------------------------------|
// | 0x00:0x1f | size of b | 0x0000000000000000000000000000000000000000000000000000000000000020 |
// | 0x20:0x3f | size of e | 0x0000000000000000000000000000000000000000000000000000000000000020 |
// | 0x40:0x5f | size of m | 0x0000000000000000000000000000000000000000000000000000000000000020 |
// | 0x60:0x7f | value of b | 0x<.............................................................b> |
// | 0x80:0x9f | value of e | 0x<.............................................................e> |
// | 0xa0:0xbf | value of m | 0x<.............................................................m> |
mstore(ptr, 0x20)
mstore(add(ptr, 0x20), 0x20)
mstore(add(ptr, 0x40), 0x20)
mstore(add(ptr, 0x60), b)
mstore(add(ptr, 0x80), e)
mstore(add(ptr, 0xa0), m)
// Given the result < m, it's guaranteed to fit in 32 bytes,
// so we can use the memory scratch space located at offset 0.
success := staticcall(gas(), 0x05, ptr, 0xc0, 0x00, 0x20)
result := mload(0x00)
}
}
/**
* @dev Variant of {modExp} that supports inputs of arbitrary length.
*/
function modExp(bytes memory b, bytes memory e, bytes memory m) internal view returns (bytes memory) {
(bool success, bytes memory result) = tryModExp(b, e, m);
if (!success) {
Panic.panic(Panic.DIVISION_BY_ZERO);
}
return result;
}
/**
* @dev Variant of {tryModExp} that supports inputs of arbitrary length.
*/
function tryModExp(
bytes memory b,
bytes memory e,
bytes memory m
) internal view returns (bool success, bytes memory result) {
if (_zeroBytes(m)) return (false, new bytes(0));
uint256 mLen = m.length;
// Encode call args in result and move the free memory pointer
result = abi.encodePacked(b.length, e.length, mLen, b, e, m);
assembly ("memory-safe") {
let dataPtr := add(result, 0x20)
// Write result on top of args to avoid allocating extra memory.
success := staticcall(gas(), 0x05, dataPtr, mload(result), dataPtr, mLen)
// Overwrite the length.
// result.length > returndatasize() is guaranteed because returndatasize() == m.length
mstore(result, mLen)
// Set the memory pointer after the returned data.
mstore(0x40, add(dataPtr, mLen))
}
}
/**
* @dev Returns whether the provided byte array is zero.
*/
function _zeroBytes(bytes memory byteArray) private pure returns (bool) {
for (uint256 i = 0; i < byteArray.length; ++i) {
if (byteArray[i] != 0) {
return false;
}
}
return true;
}
/**
* @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded
* towards zero.
*
* This method is based on Newton's method for computing square roots; the algorithm is restricted to only
* using integer operations.
*/
function sqrt(uint256 a) internal pure returns (uint256) {
unchecked {
// Take care of easy edge cases when a == 0 or a == 1
if (a <= 1) {
return a;
}
// In this function, we use Newton's method to get a root of `f(x) := x² - a`. It involves building a
// sequence x_n that converges toward sqrt(a). For each iteration x_n, we also define the error between
// the current value as `ε_n = | x_n - sqrt(a) |`.
//
// For our first estimation, we consider `e` the smallest power of 2 which is bigger than the square root
// of the target. (i.e. `2**(e-1) ≤ sqrt(a) < 2**e`). We know that `e ≤ 128` because `(2¹²⁸)² = 2²⁵⁶` is
// bigger than any uint256.
//
// By noticing that
// `2**(e-1) ≤ sqrt(a) < 2**e → (2**(e-1))² ≤ a < (2**e)² → 2**(2*e-2) ≤ a < 2**(2*e)`
// we can deduce that `e - 1` is `log2(a) / 2`. We can thus compute `x_n = 2**(e-1)` using a method similar
// to the msb function.
uint256 aa = a;
uint256 xn = 1;
if (aa >= (1 << 128)) {
aa >>= 128;
xn <<= 64;
}
if (aa >= (1 << 64)) {
aa >>= 64;
xn <<= 32;
}
if (aa >= (1 << 32)) {
aa >>= 32;
xn <<= 16;
}
if (aa >= (1 << 16)) {
aa >>= 16;
xn <<= 8;
}
if (aa >= (1 << 8)) {
aa >>= 8;
xn <<= 4;
}
if (aa >= (1 << 4)) {
aa >>= 4;
xn <<= 2;
}
if (aa >= (1 << 2)) {
xn <<= 1;
}
// We now have x_n such that `x_n = 2**(e-1) ≤ sqrt(a) < 2**e = 2 * x_n`. This implies ε_n ≤ 2**(e-1).
//
// We can refine our estimation by noticing that the middle of that interval minimizes the error.
// If we move x_n to equal 2**(e-1) + 2**(e-2), then we reduce the error to ε_n ≤ 2**(e-2).
// This is going to be our x_0 (and ε_0)
xn = (3 * xn) >> 1; // ε_0 := | x_0 - sqrt(a) | ≤ 2**(e-2)
// From here, Newton's method give us:
// x_{n+1} = (x_n + a / x_n) / 2
//
// One should note that:
// x_{n+1}² - a = ((x_n + a / x_n) / 2)² - a
// = ((x_n² + a) / (2 * x_n))² - a
// = (x_n⁴ + 2 * a * x_n² + a²) / (4 * x_n²) - a
// = (x_n⁴ + 2 * a * x_n² + a² - 4 * a * x_n²) / (4 * x_n²)
// = (x_n⁴ - 2 * a * x_n² + a²) / (4 * x_n²)
// = (x_n² - a)² / (2 * x_n)²
// = ((x_n² - a) / (2 * x_n))²
// ≥ 0
// Which proves that for all n ≥ 1, sqrt(a) ≤ x_n
//
// This gives us the proof of quadratic convergence of the sequence:
// ε_{n+1} = | x_{n+1} - sqrt(a) |
// = | (x_n + a / x_n) / 2 - sqrt(a) |
// = | (x_n² + a - 2*x_n*sqrt(a)) / (2 * x_n) |
// = | (x_n - sqrt(a))² / (2 * x_n) |
// = | ε_n² / (2 * x_n) |
// = ε_n² / | (2 * x_n) |
//
// For the first iteration, we have a special case where x_0 is known:
// ε_1 = ε_0² / | (2 * x_0) |
// ≤ (2**(e-2))² / (2 * (2**(e-1) + 2**(e-2)))
// ≤ 2**(2*e-4) / (3 * 2**(e-1))
// ≤ 2**(e-3) / 3
// ≤ 2**(e-3-log2(3))
// ≤ 2**(e-4.5)
//
// For the following iterations, we use the fact that, 2**(e-1) ≤ sqrt(a) ≤ x_n:
// ε_{n+1} = ε_n² / | (2 * x_n) |
// ≤ (2**(e-k))² / (2 * 2**(e-1))
// ≤ 2**(2*e-2*k) / 2**e
// ≤ 2**(e-2*k)
xn = (xn + a / xn) >> 1; // ε_1 := | x_1 - sqrt(a) | ≤ 2**(e-4.5) -- special case, see above
xn = (xn + a / xn) >> 1; // ε_2 := | x_2 - sqrt(a) | ≤ 2**(e-9) -- general case with k = 4.5
xn = (xn + a / xn) >> 1; // ε_3 := | x_3 - sqrt(a) | ≤ 2**(e-18) -- general case with k = 9
xn = (xn + a / xn) >> 1; // ε_4 := | x_4 - sqrt(a) | ≤ 2**(e-36) -- general case with k = 18
xn = (xn + a / xn) >> 1; // ε_5 := | x_5 - sqrt(a) | ≤ 2**(e-72) -- general case with k = 36
xn = (xn + a / xn) >> 1; // ε_6 := | x_6 - sqrt(a) | ≤ 2**(e-144) -- general case with k = 72
// Because e ≤ 128 (as discussed during the first estimation phase), we know have reached a precision
// ε_6 ≤ 2**(e-144) < 1. Given we're operating on integers, then we can ensure that xn is now either
// sqrt(a) or sqrt(a) + 1.
return xn - SafeCast.toUint(xn > a / xn);
}
}
/**
* @dev 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && result * result < a);
}
}
/**
* @dev Return the log in base 2 of a positive value rounded towards zero.
* Returns 0 if given 0.
*/
function log2(uint256 value) internal pure returns (uint256) {
uint256 result = 0;
uint256 exp;
unchecked {
exp = 128 * SafeCast.toUint(value > (1 << 128) - 1);
value >>= exp;
result += exp;
exp = 64 * SafeCast.toUint(value > (1 << 64) - 1);
value >>= exp;
result += exp;
exp = 32 * SafeCast.toUint(value > (1 << 32) - 1);
value >>= exp;
result += exp;
exp = 16 * SafeCast.toUint(value > (1 << 16) - 1);
value >>= exp;
result += exp;
exp = 8 * SafeCast.toUint(value > (1 << 8) - 1);
value >>= exp;
result += exp;
exp = 4 * SafeCast.toUint(value > (1 << 4) - 1);
value >>= exp;
result += exp;
exp = 2 * SafeCast.toUint(value > (1 << 2) - 1);
value >>= exp;
result += exp;
result += SafeCast.toUint(value > 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << result < value);
}
}
/**
* @dev Return the log in base 10 of a positive value rounded towards zero.
* 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 10 ** result < value);
}
}
/**
* @dev Return the log in base 256 of a positive value rounded towards zero.
* 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;
uint256 isGt;
unchecked {
isGt = SafeCast.toUint(value > (1 << 128) - 1);
value >>= isGt * 128;
result += isGt * 16;
isGt = SafeCast.toUint(value > (1 << 64) - 1);
value >>= isGt * 64;
result += isGt * 8;
isGt = SafeCast.toUint(value > (1 << 32) - 1);
value >>= isGt * 32;
result += isGt * 4;
isGt = SafeCast.toUint(value > (1 << 16) - 1);
value >>= isGt * 16;
result += isGt * 2;
result += SafeCast.toUint(value > (1 << 8) - 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 + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << (result << 3) < value);
}
}
/**
* @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.
*/
function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {
return uint8(rounding) % 2 == 1;
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SafeCast.sol)
// This file was procedurally generated from scripts/generate/templates/SafeCast.js.
pragma solidity ^0.8.20;
/**
* @dev Wrappers over Solidity's uintXX/intXX/bool 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.
*/
library SafeCast {
/**
* @dev Value doesn't fit in an uint of `bits` size.
*/
error SafeCastOverflowedUintDowncast(uint8 bits, uint256 value);
/**
* @dev An int value doesn't fit in an uint of `bits` size.
*/
error SafeCastOverflowedIntToUint(int256 value);
/**
* @dev Value doesn't fit in an int of `bits` size.
*/
error SafeCastOverflowedIntDowncast(uint8 bits, int256 value);
/**
* @dev An uint value doesn't fit in an int of `bits` size.
*/
error SafeCastOverflowedUintToInt(uint256 value);
/**
* @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
*/
function toUint248(uint256 value) internal pure returns (uint248) {
if (value > type(uint248).max) {
revert SafeCastOverflowedUintDowncast(248, value);
}
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
*/
function toUint240(uint256 value) internal pure returns (uint240) {
if (value > type(uint240).max) {
revert SafeCastOverflowedUintDowncast(240, value);
}
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
*/
function toUint232(uint256 value) internal pure returns (uint232) {
if (value > type(uint232).max) {
revert SafeCastOverflowedUintDowncast(232, value);
}
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
*/
function toUint224(uint256 value) internal pure returns (uint224) {
if (value > type(uint224).max) {
revert SafeCastOverflowedUintDowncast(224, value);
}
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
*/
function toUint216(uint256 value) internal pure returns (uint216) {
if (value > type(uint216).max) {
revert SafeCastOverflowedUintDowncast(216, value);
}
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
*/
function toUint208(uint256 value) internal pure returns (uint208) {
if (value > type(uint208).max) {
revert SafeCastOverflowedUintDowncast(208, value);
}
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
*/
function toUint200(uint256 value) internal pure returns (uint200) {
if (value > type(uint200).max) {
revert SafeCastOverflowedUintDowncast(200, value);
}
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
*/
function toUint192(uint256 value) internal pure returns (uint192) {
if (value > type(uint192).max) {
revert SafeCastOverflowedUintDowncast(192, value);
}
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
*/
function toUint184(uint256 value) internal pure returns (uint184) {
if (value > type(uint184).max) {
revert SafeCastOverflowedUintDowncast(184, value);
}
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
*/
function toUint176(uint256 value) internal pure returns (uint176) {
if (value > type(uint176).max) {
revert SafeCastOverflowedUintDowncast(176, value);
}
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
*/
function toUint168(uint256 value) internal pure returns (uint168) {
if (value > type(uint168).max) {
revert SafeCastOverflowedUintDowncast(168, value);
}
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
*/
function toUint160(uint256 value) internal pure returns (uint160) {
if (value > type(uint160).max) {
revert SafeCastOverflowedUintDowncast(160, value);
}
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
*/
function toUint152(uint256 value) internal pure returns (uint152) {
if (value > type(uint152).max) {
revert SafeCastOverflowedUintDowncast(152, value);
}
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
*/
function toUint144(uint256 value) internal pure returns (uint144) {
if (value > type(uint144).max) {
revert SafeCastOverflowedUintDowncast(144, value);
}
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
*/
function toUint136(uint256 value) internal pure returns (uint136) {
if (value > type(uint136).max) {
revert SafeCastOverflowedUintDowncast(136, value);
}
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
*/
function toUint128(uint256 value) internal pure returns (uint128) {
if (value > type(uint128).max) {
revert SafeCastOverflowedUintDowncast(128, value);
}
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
*/
function toUint120(uint256 value) internal pure returns (uint120) {
if (value > type(uint120).max) {
revert SafeCastOverflowedUintDowncast(120, value);
}
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
*/
function toUint112(uint256 value) internal pure returns (uint112) {
if (value > type(uint112).max) {
revert SafeCastOverflowedUintDowncast(112, value);
}
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
*/
function toUint104(uint256 value) internal pure returns (uint104) {
if (value > type(uint104).max) {
revert SafeCastOverflowedUintDowncast(104, value);
}
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
*/
function toUint96(uint256 value) internal pure returns (uint96) {
if (value > type(uint96).max) {
revert SafeCastOverflowedUintDowncast(96, value);
}
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
*/
function toUint88(uint256 value) internal pure returns (uint88) {
if (value > type(uint88).max) {
revert SafeCastOverflowedUintDowncast(88, value);
}
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
*/
function toUint80(uint256 value) internal pure returns (uint80) {
if (value > type(uint80).max) {
revert SafeCastOverflowedUintDowncast(80, value);
}
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
*/
function toUint72(uint256 value) internal pure returns (uint72) {
if (value > type(uint72).max) {
revert SafeCastOverflowedUintDowncast(72, value);
}
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
*/
function toUint64(uint256 value) internal pure returns (uint64) {
if (value > type(uint64).max) {
revert SafeCastOverflowedUintDowncast(64, value);
}
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
*/
function toUint56(uint256 value) internal pure returns (uint56) {
if (value > type(uint56).max) {
revert SafeCastOverflowedUintDowncast(56, value);
}
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
*/
function toUint48(uint256 value) internal pure returns (uint48) {
if (value > type(uint48).max) {
revert SafeCastOverflowedUintDowncast(48, value);
}
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
*/
function toUint40(uint256 value) internal pure returns (uint40) {
if (value > type(uint40).max) {
revert SafeCastOverflowedUintDowncast(40, value);
}
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
*/
function toUint32(uint256 value) internal pure returns (uint32) {
if (value > type(uint32).max) {
revert SafeCastOverflowedUintDowncast(32, value);
}
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
*/
function toUint24(uint256 value) internal pure returns (uint24) {
if (value > type(uint24).max) {
revert SafeCastOverflowedUintDowncast(24, value);
}
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
*/
function toUint16(uint256 value) internal pure returns (uint16) {
if (value > type(uint16).max) {
revert SafeCastOverflowedUintDowncast(16, value);
}
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
*/
function toUint8(uint256 value) internal pure returns (uint8) {
if (value > type(uint8).max) {
revert SafeCastOverflowedUintDowncast(8, value);
}
return uint8(value);
}
/**
* @dev Converts a signed int256 into an unsigned uint256.
*
* Requirements:
*
* - input must be greater than or equal to 0.
*/
function toUint256(int256 value) internal pure returns (uint256) {
if (value < 0) {
revert SafeCastOverflowedIntToUint(value);
}
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
*/
function toInt248(int256 value) internal pure returns (int248 downcasted) {
downcasted = int248(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(248, value);
}
}
/**
* @dev Returns the downcasted int240 from int256, reverting on
* overflow (when the input is less than smallest int240 or
* greater than largest int240).
*
* Counterpart to Solidity's `int240` operator.
*
* Requirements:
*
* - input must fit into 240 bits
*/
function toInt240(int256 value) internal pure returns (int240 downcasted) {
downcasted = int240(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(240, value);
}
}
/**
* @dev Returns the downcasted int232 from int256, reverting on
* overflow (when the input is less than smallest int232 or
* greater than largest int232).
*
* Counterpart to Solidity's `int232` operator.
*
* Requirements:
*
* - input must fit into 232 bits
*/
function toInt232(int256 value) internal pure returns (int232 downcasted) {
downcasted = int232(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(232, value);
}
}
/**
* @dev Returns the downcasted int224 from int256, reverting on
* overflow (when the input is less than smallest int224 or
* greater than largest int224).
*
* Counterpart to Solidity's `int224` operator.
*
* Requirements:
*
* - input must fit into 224 bits
*/
function toInt224(int256 value) internal pure returns (int224 downcasted) {
downcasted = int224(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(224, value);
}
}
/**
* @dev Returns the downcasted int216 from int256, reverting on
* overflow (when the input is less than smallest int216 or
* greater than largest int216).
*
* Counterpart to Solidity's `int216` operator.
*
* Requirements:
*
* - input must fit into 216 bits
*/
function toInt216(int256 value) internal pure returns (int216 downcasted) {
downcasted = int216(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(216, value);
}
}
/**
* @dev Returns the downcasted int208 from int256, reverting on
* overflow (when the input is less than smallest int208 or
* greater than largest int208).
*
* Counterpart to Solidity's `int208` operator.
*
* Requirements:
*
* - input must fit into 208 bits
*/
function toInt208(int256 value) internal pure returns (int208 downcasted) {
downcasted = int208(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(208, value);
}
}
/**
* @dev Returns the downcasted int200 from int256, reverting on
* overflow (when the input is less than smallest int200 or
* greater than largest int200).
*
* Counterpart to Solidity's `int200` operator.
*
* Requirements:
*
* - input must fit into 200 bits
*/
function toInt200(int256 value) internal pure returns (int200 downcasted) {
downcasted = int200(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(200, value);
}
}
/**
* @dev Returns the downcasted int192 from int256, reverting on
* overflow (when the input is less than smallest int192 or
* greater than largest int192).
*
* Counterpart to Solidity's `int192` operator.
*
* Requirements:
*
* - input must fit into 192 bits
*/
function toInt192(int256 value) internal pure returns (int192 downcasted) {
downcasted = int192(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(192, value);
}
}
/**
* @dev Returns the downcasted int184 from int256, reverting on
* overflow (when the input is less than smallest int184 or
* greater than largest int184).
*
* Counterpart to Solidity's `int184` operator.
*
* Requirements:
*
* - input must fit into 184 bits
*/
function toInt184(int256 value) internal pure returns (int184 downcasted) {
downcasted = int184(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(184, value);
}
}
/**
* @dev Returns the downcasted int176 from int256, reverting on
* overflow (when the input is less than smallest int176 or
* greater than largest int176).
*
* Counterpart to Solidity's `int176` operator.
*
* Requirements:
*
* - input must fit into 176 bits
*/
function toInt176(int256 value) internal pure returns (int176 downcasted) {
downcasted = int176(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(176, value);
}
}
/**
* @dev Returns the downcasted int168 from int256, reverting on
* overflow (when the input is less than smallest int168 or
* greater than largest int168).
*
* Counterpart to Solidity's `int168` operator.
*
* Requirements:
*
* - input must fit into 168 bits
*/
function toInt168(int256 value) internal pure returns (int168 downcasted) {
downcasted = int168(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(168, value);
}
}
/**
* @dev Returns the downcasted int160 from int256, reverting on
* overflow (when the input is less than smallest int160 or
* greater than largest int160).
*
* Counterpart to Solidity's `int160` operator.
*
* Requirements:
*
* - input must fit into 160 bits
*/
function toInt160(int256 value) internal pure returns (int160 downcasted) {
downcasted = int160(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(160, value);
}
}
/**
* @dev Returns the downcasted int152 from int256, reverting on
* overflow (when the input is less than smallest int152 or
* greater than largest int152).
*
* Counterpart to Solidity's `int152` operator.
*
* Requirements:
*
* - input must fit into 152 bits
*/
function toInt152(int256 value) internal pure returns (int152 downcasted) {
downcasted = int152(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(152, value);
}
}
/**
* @dev Returns the downcasted int144 from int256, reverting on
* overflow (when the input is less than smallest int144 or
* greater than largest int144).
*
* Counterpart to Solidity's `int144` operator.
*
* Requirements:
*
* - input must fit into 144 bits
*/
function toInt144(int256 value) internal pure returns (int144 downcasted) {
downcasted = int144(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(144, value);
}
}
/**
* @dev Returns the downcasted int136 from int256, reverting on
* overflow (when the input is less than smallest int136 or
* greater than largest int136).
*
* Counterpart to Solidity's `int136` operator.
*
* Requirements:
*
* - input must fit into 136 bits
*/
function toInt136(int256 value) internal pure returns (int136 downcasted) {
downcasted = int136(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(136, value);
}
}
/**
* @dev Returns the downcasted int128 from int256, reverting on
* overflow (when the input is less than smallest int128 or
* greater than largest int128).
*
* Counterpart to Solidity's `int128` operator.
*
* Requirements:
*
* - input must fit into 128 bits
*/
function toInt128(int256 value) internal pure returns (int128 downcasted) {
downcasted = int128(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(128, value);
}
}
/**
* @dev Returns the downcasted int120 from int256, reverting on
* overflow (when the input is less than smallest int120 or
* greater than largest int120).
*
* Counterpart to Solidity's `int120` operator.
*
* Requirements:
*
* - input must fit into 120 bits
*/
function toInt120(int256 value) internal pure returns (int120 downcasted) {
downcasted = int120(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(120, value);
}
}
/**
* @dev Returns the downcasted int112 from int256, reverting on
* overflow (when the input is less than smallest int112 or
* greater than largest int112).
*
* Counterpart to Solidity's `int112` operator.
*
* Requirements:
*
* - input must fit into 112 bits
*/
function toInt112(int256 value) internal pure returns (int112 downcasted) {
downcasted = int112(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(112, value);
}
}
/**
* @dev Returns the downcasted int104 from int256, reverting on
* overflow (when the input is less than smallest int104 or
* greater than largest int104).
*
* Counterpart to Solidity's `int104` operator.
*
* Requirements:
*
* - input must fit into 104 bits
*/
function toInt104(int256 value) internal pure returns (int104 downcasted) {
downcasted = int104(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(104, value);
}
}
/**
* @dev Returns the downcasted int96 from int256, reverting on
* overflow (when the input is less than smallest int96 or
* greater than largest int96).
*
* Counterpart to Solidity's `int96` operator.
*
* Requirements:
*
* - input must fit into 96 bits
*/
function toInt96(int256 value) internal pure returns (int96 downcasted) {
downcasted = int96(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(96, value);
}
}
/**
* @dev Returns the downcasted int88 from int256, reverting on
* overflow (when the input is less than smallest int88 or
* greater than largest int88).
*
* Counterpart to Solidity's `int88` operator.
*
* Requirements:
*
* - input must fit into 88 bits
*/
function toInt88(int256 value) internal pure returns (int88 downcasted) {
downcasted = int88(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(88, value);
}
}
/**
* @dev Returns the downcasted int80 from int256, reverting on
* overflow (when the input is less than smallest int80 or
* greater than largest int80).
*
* Counterpart to Solidity's `int80` operator.
*
* Requirements:
*
* - input must fit into 80 bits
*/
function toInt80(int256 value) internal pure returns (int80 downcasted) {
downcasted = int80(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(80, value);
}
}
/**
* @dev Returns the downcasted int72 from int256, reverting on
* overflow (when the input is less than smallest int72 or
* greater than largest int72).
*
* Counterpart to Solidity's `int72` operator.
*
* Requirements:
*
* - input must fit into 72 bits
*/
function toInt72(int256 value) internal pure returns (int72 downcasted) {
downcasted = int72(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(72, value);
}
}
/**
* @dev Returns the downcasted int64 from int256, reverting on
* overflow (when the input is less than smallest int64 or
* greater than largest int64).
*
* Counterpart to Solidity's `int64` operator.
*
* Requirements:
*
* - input must fit into 64 bits
*/
function toInt64(int256 value) internal pure returns (int64 downcasted) {
downcasted = int64(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(64, value);
}
}
/**
* @dev Returns the downcasted int56 from int256, reverting on
* overflow (when the input is less than smallest int56 or
* greater than largest int56).
*
* Counterpart to Solidity's `int56` operator.
*
* Requirements:
*
* - input must fit into 56 bits
*/
function toInt56(int256 value) internal pure returns (int56 downcasted) {
downcasted = int56(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(56, value);
}
}
/**
* @dev Returns the downcasted int48 from int256, reverting on
* overflow (when the input is less than smallest int48 or
* greater than largest int48).
*
* Counterpart to Solidity's `int48` operator.
*
* Requirements:
*
* - input must fit into 48 bits
*/
function toInt48(int256 value) internal pure returns (int48 downcasted) {
downcasted = int48(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(48, value);
}
}
/**
* @dev Returns the downcasted int40 from int256, reverting on
* overflow (when the input is less than smallest int40 or
* greater than largest int40).
*
* Counterpart to Solidity's `int40` operator.
*
* Requirements:
*
* - input must fit into 40 bits
*/
function toInt40(int256 value) internal pure returns (int40 downcasted) {
downcasted = int40(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(40, value);
}
}
/**
* @dev Returns the downcasted int32 from int256, reverting on
* overflow (when the input is less than smallest int32 or
* greater than largest int32).
*
* Counterpart to Solidity's `int32` operator.
*
* Requirements:
*
* - input must fit into 32 bits
*/
function toInt32(int256 value) internal pure returns (int32 downcasted) {
downcasted = int32(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(32, value);
}
}
/**
* @dev Returns the downcasted int24 from int256, reverting on
* overflow (when the input is less than smallest int24 or
* greater than largest int24).
*
* Counterpart to Solidity's `int24` operator.
*
* Requirements:
*
* - input must fit into 24 bits
*/
function toInt24(int256 value) internal pure returns (int24 downcasted) {
downcasted = int24(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(24, value);
}
}
/**
* @dev Returns the downcasted int16 from int256, reverting on
* overflow (when the input is less than smallest int16 or
* greater than largest int16).
*
* Counterpart to Solidity's `int16` operator.
*
* Requirements:
*
* - input must fit into 16 bits
*/
function toInt16(int256 value) internal pure returns (int16 downcasted) {
downcasted = int16(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(16, value);
}
}
/**
* @dev Returns the downcasted int8 from int256, reverting on
* overflow (when the input is less than smallest int8 or
* greater than largest int8).
*
* Counterpart to Solidity's `int8` operator.
*
* Requirements:
*
* - input must fit into 8 bits
*/
function toInt8(int256 value) internal pure returns (int8 downcasted) {
downcasted = int8(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(8, value);
}
}
/**
* @dev Converts an unsigned uint256 into a signed int256.
*
* Requirements:
*
* - input must be less than or equal to maxInt256.
*/
function toInt256(uint256 value) internal pure returns (int256) {
// Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
if (value > uint256(type(int256).max)) {
revert SafeCastOverflowedUintToInt(value);
}
return int256(value);
}
/**
* @dev Cast a boolean (false or true) to a uint256 (0 or 1) with no jump.
*/
function toUint(bool b) internal pure returns (uint256 u) {
assembly ("memory-safe") {
u := iszero(iszero(b))
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SignedMath.sol)
pragma solidity ^0.8.20;
import {SafeCast} from "./SafeCast.sol";
/**
* @dev Standard signed math utilities missing in the Solidity language.
*/
library SignedMath {
/**
* @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
*
* IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
* However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
* one branch when needed, making this function more expensive.
*/
function ternary(bool condition, int256 a, int256 b) internal pure returns (int256) {
unchecked {
// branchless ternary works because:
// b ^ (a ^ b) == a
// b ^ 0 == b
return b ^ ((a ^ b) * int256(SafeCast.toUint(condition)));
}
}
/**
* @dev Returns the largest of two signed numbers.
*/
function max(int256 a, int256 b) internal pure returns (int256) {
return ternary(a > b, a, b);
}
/**
* @dev Returns the smallest of two signed numbers.
*/
function min(int256 a, int256 b) internal pure returns (int256) {
return ternary(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 {
// Formula from the "Bit Twiddling Hacks" by Sean Eron Anderson.
// Since `n` is a signed integer, the generated bytecode will use the SAR opcode to perform the right shift,
// taking advantage of the most significant (or "sign" bit) in two's complement representation.
// This opcode adds new most significant bits set to the value of the previous most significant bit. As a result,
// the mask will either be `bytes32(0)` (if n is positive) or `~bytes32(0)` (if n is negative).
int256 mask = n >> 255;
// A `bytes32(0)` mask leaves the input unchanged, while a `~bytes32(0)` mask complements it.
return uint256((n + mask) ^ mask);
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (utils/Nonces.sol)
pragma solidity ^0.8.20;
/**
* @dev Provides tracking nonces for addresses. Nonces will only increment.
*/
abstract contract Nonces {
/**
* @dev The nonce used for an `account` is not the expected current nonce.
*/
error InvalidAccountNonce(address account, uint256 currentNonce);
mapping(address account => uint256) private _nonces;
/**
* @dev Returns the next unused nonce for an address.
*/
function nonces(address owner) public view virtual returns (uint256) {
return _nonces[owner];
}
/**
* @dev Consumes a nonce.
*
* Returns the current value and increments nonce.
*/
function _useNonce(address owner) internal virtual returns (uint256) {
// For each account, the nonce has an initial value of 0, can only be incremented by one, and cannot be
// decremented or reset. This guarantees that the nonce never overflows.
unchecked {
// It is important to do x++ and not ++x here.
return _nonces[owner]++;
}
}
/**
* @dev Same as {_useNonce} but checking that `nonce` is the next valid for `owner`.
*/
function _useCheckedNonce(address owner, uint256 nonce) internal virtual {
uint256 current = _useNonce(owner);
if (nonce != current) {
revert InvalidAccountNonce(owner, current);
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/Panic.sol)
pragma solidity ^0.8.20;
/**
* @dev Helper library for emitting standardized panic codes.
*
* ```solidity
* contract Example {
* using Panic for uint256;
*
* // Use any of the declared internal constants
* function foo() { Panic.GENERIC.panic(); }
*
* // Alternatively
* function foo() { Panic.panic(Panic.GENERIC); }
* }
* ```
*
* Follows the list from https://github.com/ethereum/solidity/blob/v0.8.24/libsolutil/ErrorCodes.h[libsolutil].
*
* _Available since v5.1._
*/
// slither-disable-next-line unused-state
library Panic {
/// @dev generic / unspecified error
uint256 internal constant GENERIC = 0x00;
/// @dev used by the assert() builtin
uint256 internal constant ASSERT = 0x01;
/// @dev arithmetic underflow or overflow
uint256 internal constant UNDER_OVERFLOW = 0x11;
/// @dev division or modulo by zero
uint256 internal constant DIVISION_BY_ZERO = 0x12;
/// @dev enum conversion error
uint256 internal constant ENUM_CONVERSION_ERROR = 0x21;
/// @dev invalid encoding in storage
uint256 internal constant STORAGE_ENCODING_ERROR = 0x22;
/// @dev empty array pop
uint256 internal constant EMPTY_ARRAY_POP = 0x31;
/// @dev array out of bounds access
uint256 internal constant ARRAY_OUT_OF_BOUNDS = 0x32;
/// @dev resource error (too large allocation or too large array)
uint256 internal constant RESOURCE_ERROR = 0x41;
/// @dev calling invalid internal function
uint256 internal constant INVALID_INTERNAL_FUNCTION = 0x51;
/// @dev Reverts with a panic code. Recommended to use with
/// the internal constants with predefined codes.
function panic(uint256 code) internal pure {
assembly ("memory-safe") {
mstore(0x00, 0x4e487b71)
mstore(0x20, code)
revert(0x1c, 0x24)
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/ReentrancyGuard.sol)
pragma solidity ^0.8.20;
/**
* @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 EIP-1153 (transient storage) is available on the chain you're deploying at,
* consider using {ReentrancyGuardTransient} instead.
*
* 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;
/**
* @dev Unauthorized reentrant call.
*/
error ReentrancyGuardReentrantCall();
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
if (_status == ENTERED) {
revert ReentrancyGuardReentrantCall();
}
// 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;
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/ShortStrings.sol)
pragma solidity ^0.8.20;
import {StorageSlot} from "./StorageSlot.sol";
// | string | 0xAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA |
// | length | 0x BB |
type ShortString is bytes32;
/**
* @dev This library provides functions to convert short memory strings
* into a `ShortString` type that can be used as an immutable variable.
*
* Strings of arbitrary length can be optimized using this library if
* they are short enough (up to 31 bytes) by packing them with their
* length (1 byte) in a single EVM word (32 bytes). Additionally, a
* fallback mechanism can be used for every other case.
*
* Usage example:
*
* ```solidity
* contract Named {
* using ShortStrings for *;
*
* ShortString private immutable _name;
* string private _nameFallback;
*
* constructor(string memory contractName) {
* _name = contractName.toShortStringWithFallback(_nameFallback);
* }
*
* function name() external view returns (string memory) {
* return _name.toStringWithFallback(_nameFallback);
* }
* }
* ```
*/
library ShortStrings {
// Used as an identifier for strings longer than 31 bytes.
bytes32 private constant FALLBACK_SENTINEL = 0x00000000000000000000000000000000000000000000000000000000000000FF;
error StringTooLong(string str);
error InvalidShortString();
/**
* @dev Encode a string of at most 31 chars into a `ShortString`.
*
* This will trigger a `StringTooLong` error is the input string is too long.
*/
function toShortString(string memory str) internal pure returns (ShortString) {
bytes memory bstr = bytes(str);
if (bstr.length > 31) {
revert StringTooLong(str);
}
return ShortString.wrap(bytes32(uint256(bytes32(bstr)) | bstr.length));
}
/**
* @dev Decode a `ShortString` back to a "normal" string.
*/
function toString(ShortString sstr) internal pure returns (string memory) {
uint256 len = byteLength(sstr);
// using `new string(len)` would work locally but is not memory safe.
string memory str = new string(32);
assembly ("memory-safe") {
mstore(str, len)
mstore(add(str, 0x20), sstr)
}
return str;
}
/**
* @dev Return the length of a `ShortString`.
*/
function byteLength(ShortString sstr) internal pure returns (uint256) {
uint256 result = uint256(ShortString.unwrap(sstr)) & 0xFF;
if (result > 31) {
revert InvalidShortString();
}
return result;
}
/**
* @dev Encode a string into a `ShortString`, or write it to storage if it is too long.
*/
function toShortStringWithFallback(string memory value, string storage store) internal returns (ShortString) {
if (bytes(value).length < 32) {
return toShortString(value);
} else {
StorageSlot.getStringSlot(store).value = value;
return ShortString.wrap(FALLBACK_SENTINEL);
}
}
/**
* @dev Decode a string that was encoded to `ShortString` or written to storage using {setWithFallback}.
*/
function toStringWithFallback(ShortString value, string storage store) internal pure returns (string memory) {
if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
return toString(value);
} else {
return store;
}
}
/**
* @dev Return the length of a string that was encoded to `ShortString` or written to storage using
* {setWithFallback}.
*
* WARNING: This will return the "byte length" of the string. This may not reflect the actual length in terms of
* actual characters as the UTF-8 encoding of a single character can span over multiple bytes.
*/
function byteLengthWithFallback(ShortString value, string storage store) internal view returns (uint256) {
if (ShortString.unwrap(value) != FALLBACK_SENTINEL) {
return byteLength(value);
} else {
return bytes(store).length;
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/StorageSlot.sol)
// This file was procedurally generated from scripts/generate/templates/StorageSlot.js.
pragma solidity ^0.8.20;
/**
* @dev Library for reading and writing primitive types to specific storage slots.
*
* Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
* This library helps with reading and writing to such slots without the need for inline assembly.
*
* The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
*
* Example usage to set ERC-1967 implementation slot:
* ```solidity
* contract ERC1967 {
* // Define the slot. Alternatively, use the SlotDerivation library to derive the slot.
* bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
*
* function _getImplementation() internal view returns (address) {
* return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
* }
*
* function _setImplementation(address newImplementation) internal {
* require(newImplementation.code.length > 0);
* StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
* }
* }
* ```
*
* TIP: Consider using this library along with {SlotDerivation}.
*/
library StorageSlot {
struct AddressSlot {
address value;
}
struct BooleanSlot {
bool value;
}
struct Bytes32Slot {
bytes32 value;
}
struct Uint256Slot {
uint256 value;
}
struct Int256Slot {
int256 value;
}
struct StringSlot {
string value;
}
struct BytesSlot {
bytes value;
}
/**
* @dev Returns an `AddressSlot` with member `value` located at `slot`.
*/
function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `BooleanSlot` with member `value` located at `slot`.
*/
function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `Bytes32Slot` with member `value` located at `slot`.
*/
function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `Uint256Slot` with member `value` located at `slot`.
*/
function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `Int256Slot` with member `value` located at `slot`.
*/
function getInt256Slot(bytes32 slot) internal pure returns (Int256Slot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `StringSlot` with member `value` located at `slot`.
*/
function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns an `StringSlot` representation of the string storage pointer `store`.
*/
function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {
assembly ("memory-safe") {
r.slot := store.slot
}
}
/**
* @dev Returns a `BytesSlot` with member `value` located at `slot`.
*/
function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.
*/
function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {
assembly ("memory-safe") {
r.slot := store.slot
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.2.0) (utils/Strings.sol)
pragma solidity ^0.8.20;
import {Math} from "./math/Math.sol";
import {SafeCast} from "./math/SafeCast.sol";
import {SignedMath} from "./math/SignedMath.sol";
/**
* @dev String operations.
*/
library Strings {
using SafeCast for *;
bytes16 private constant HEX_DIGITS = "0123456789abcdef";
uint8 private constant ADDRESS_LENGTH = 20;
/**
* @dev The `value` string doesn't fit in the specified `length`.
*/
error StringsInsufficientHexLength(uint256 value, uint256 length);
/**
* @dev The string being parsed contains characters that are not in scope of the given base.
*/
error StringsInvalidChar();
/**
* @dev The string being parsed is not a properly formatted address.
*/
error StringsInvalidAddressFormat();
/**
* @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;
assembly ("memory-safe") {
ptr := add(buffer, add(32, length))
}
while (true) {
ptr--;
assembly ("memory-safe") {
mstore8(ptr, byte(mod(value, 10), HEX_DIGITS))
}
value /= 10;
if (value == 0) break;
}
return buffer;
}
}
/**
* @dev Converts a `int256` to its ASCII `string` decimal representation.
*/
function toStringSigned(int256 value) internal pure returns (string memory) {
return string.concat(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) {
uint256 localValue = value;
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] = HEX_DIGITS[localValue & 0xf];
localValue >>= 4;
}
if (localValue != 0) {
revert StringsInsufficientHexLength(value, length);
}
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 Converts an `address` with fixed length of 20 bytes to its checksummed ASCII `string` hexadecimal
* representation, according to EIP-55.
*/
function toChecksumHexString(address addr) internal pure returns (string memory) {
bytes memory buffer = bytes(toHexString(addr));
// hash the hex part of buffer (skip length + 2 bytes, length 40)
uint256 hashValue;
assembly ("memory-safe") {
hashValue := shr(96, keccak256(add(buffer, 0x22), 40))
}
for (uint256 i = 41; i > 1; --i) {
// possible values for buffer[i] are 48 (0) to 57 (9) and 97 (a) to 102 (f)
if (hashValue & 0xf > 7 && uint8(buffer[i]) > 96) {
// case shift by xoring with 0x20
buffer[i] ^= 0x20;
}
hashValue >>= 4;
}
return string(buffer);
}
/**
* @dev Returns true if the two strings are equal.
*/
function equal(string memory a, string memory b) internal pure returns (bool) {
return bytes(a).length == bytes(b).length && keccak256(bytes(a)) == keccak256(bytes(b));
}
/**
* @dev Parse a decimal string and returns the value as a `uint256`.
*
* Requirements:
* - The string must be formatted as `[0-9]*`
* - The result must fit into an `uint256` type
*/
function parseUint(string memory input) internal pure returns (uint256) {
return parseUint(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseUint} that parses a substring of `input` located between position `begin` (included) and
* `end` (excluded).
*
* Requirements:
* - The substring must be formatted as `[0-9]*`
* - The result must fit into an `uint256` type
*/
function parseUint(string memory input, uint256 begin, uint256 end) internal pure returns (uint256) {
(bool success, uint256 value) = tryParseUint(input, begin, end);
if (!success) revert StringsInvalidChar();
return value;
}
/**
* @dev Variant of {parseUint-string} that returns false if the parsing fails because of an invalid character.
*
* NOTE: This function will revert if the result does not fit in a `uint256`.
*/
function tryParseUint(string memory input) internal pure returns (bool success, uint256 value) {
return _tryParseUintUncheckedBounds(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseUint-string-uint256-uint256} that returns false if the parsing fails because of an invalid
* character.
*
* NOTE: This function will revert if the result does not fit in a `uint256`.
*/
function tryParseUint(
string memory input,
uint256 begin,
uint256 end
) internal pure returns (bool success, uint256 value) {
if (end > bytes(input).length || begin > end) return (false, 0);
return _tryParseUintUncheckedBounds(input, begin, end);
}
/**
* @dev Implementation of {tryParseUint} that does not check bounds. Caller should make sure that
* `begin <= end <= input.length`. Other inputs would result in undefined behavior.
*/
function _tryParseUintUncheckedBounds(
string memory input,
uint256 begin,
uint256 end
) private pure returns (bool success, uint256 value) {
bytes memory buffer = bytes(input);
uint256 result = 0;
for (uint256 i = begin; i < end; ++i) {
uint8 chr = _tryParseChr(bytes1(_unsafeReadBytesOffset(buffer, i)));
if (chr > 9) return (false, 0);
result *= 10;
result += chr;
}
return (true, result);
}
/**
* @dev Parse a decimal string and returns the value as a `int256`.
*
* Requirements:
* - The string must be formatted as `[-+]?[0-9]*`
* - The result must fit in an `int256` type.
*/
function parseInt(string memory input) internal pure returns (int256) {
return parseInt(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseInt-string} that parses a substring of `input` located between position `begin` (included) and
* `end` (excluded).
*
* Requirements:
* - The substring must be formatted as `[-+]?[0-9]*`
* - The result must fit in an `int256` type.
*/
function parseInt(string memory input, uint256 begin, uint256 end) internal pure returns (int256) {
(bool success, int256 value) = tryParseInt(input, begin, end);
if (!success) revert StringsInvalidChar();
return value;
}
/**
* @dev Variant of {parseInt-string} that returns false if the parsing fails because of an invalid character or if
* the result does not fit in a `int256`.
*
* NOTE: This function will revert if the absolute value of the result does not fit in a `uint256`.
*/
function tryParseInt(string memory input) internal pure returns (bool success, int256 value) {
return _tryParseIntUncheckedBounds(input, 0, bytes(input).length);
}
uint256 private constant ABS_MIN_INT256 = 2 ** 255;
/**
* @dev Variant of {parseInt-string-uint256-uint256} that returns false if the parsing fails because of an invalid
* character or if the result does not fit in a `int256`.
*
* NOTE: This function will revert if the absolute value of the result does not fit in a `uint256`.
*/
function tryParseInt(
string memory input,
uint256 begin,
uint256 end
) internal pure returns (bool success, int256 value) {
if (end > bytes(input).length || begin > end) return (false, 0);
return _tryParseIntUncheckedBounds(input, begin, end);
}
/**
* @dev Implementation of {tryParseInt} that does not check bounds. Caller should make sure that
* `begin <= end <= input.length`. Other inputs would result in undefined behavior.
*/
function _tryParseIntUncheckedBounds(
string memory input,
uint256 begin,
uint256 end
) private pure returns (bool success, int256 value) {
bytes memory buffer = bytes(input);
// Check presence of a negative sign.
bytes1 sign = begin == end ? bytes1(0) : bytes1(_unsafeReadBytesOffset(buffer, begin)); // don't do out-of-bound (possibly unsafe) read if sub-string is empty
bool positiveSign = sign == bytes1("+");
bool negativeSign = sign == bytes1("-");
uint256 offset = (positiveSign || negativeSign).toUint();
(bool absSuccess, uint256 absValue) = tryParseUint(input, begin + offset, end);
if (absSuccess && absValue < ABS_MIN_INT256) {
return (true, negativeSign ? -int256(absValue) : int256(absValue));
} else if (absSuccess && negativeSign && absValue == ABS_MIN_INT256) {
return (true, type(int256).min);
} else return (false, 0);
}
/**
* @dev Parse a hexadecimal string (with or without "0x" prefix), and returns the value as a `uint256`.
*
* Requirements:
* - The string must be formatted as `(0x)?[0-9a-fA-F]*`
* - The result must fit in an `uint256` type.
*/
function parseHexUint(string memory input) internal pure returns (uint256) {
return parseHexUint(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseHexUint} that parses a substring of `input` located between position `begin` (included) and
* `end` (excluded).
*
* Requirements:
* - The substring must be formatted as `(0x)?[0-9a-fA-F]*`
* - The result must fit in an `uint256` type.
*/
function parseHexUint(string memory input, uint256 begin, uint256 end) internal pure returns (uint256) {
(bool success, uint256 value) = tryParseHexUint(input, begin, end);
if (!success) revert StringsInvalidChar();
return value;
}
/**
* @dev Variant of {parseHexUint-string} that returns false if the parsing fails because of an invalid character.
*
* NOTE: This function will revert if the result does not fit in a `uint256`.
*/
function tryParseHexUint(string memory input) internal pure returns (bool success, uint256 value) {
return _tryParseHexUintUncheckedBounds(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseHexUint-string-uint256-uint256} that returns false if the parsing fails because of an
* invalid character.
*
* NOTE: This function will revert if the result does not fit in a `uint256`.
*/
function tryParseHexUint(
string memory input,
uint256 begin,
uint256 end
) internal pure returns (bool success, uint256 value) {
if (end > bytes(input).length || begin > end) return (false, 0);
return _tryParseHexUintUncheckedBounds(input, begin, end);
}
/**
* @dev Implementation of {tryParseHexUint} that does not check bounds. Caller should make sure that
* `begin <= end <= input.length`. Other inputs would result in undefined behavior.
*/
function _tryParseHexUintUncheckedBounds(
string memory input,
uint256 begin,
uint256 end
) private pure returns (bool success, uint256 value) {
bytes memory buffer = bytes(input);
// skip 0x prefix if present
bool hasPrefix = (end > begin + 1) && bytes2(_unsafeReadBytesOffset(buffer, begin)) == bytes2("0x"); // don't do out-of-bound (possibly unsafe) read if sub-string is empty
uint256 offset = hasPrefix.toUint() * 2;
uint256 result = 0;
for (uint256 i = begin + offset; i < end; ++i) {
uint8 chr = _tryParseChr(bytes1(_unsafeReadBytesOffset(buffer, i)));
if (chr > 15) return (false, 0);
result *= 16;
unchecked {
// Multiplying by 16 is equivalent to a shift of 4 bits (with additional overflow check).
// This guaratees that adding a value < 16 will not cause an overflow, hence the unchecked.
result += chr;
}
}
return (true, result);
}
/**
* @dev Parse a hexadecimal string (with or without "0x" prefix), and returns the value as an `address`.
*
* Requirements:
* - The string must be formatted as `(0x)?[0-9a-fA-F]{40}`
*/
function parseAddress(string memory input) internal pure returns (address) {
return parseAddress(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseAddress} that parses a substring of `input` located between position `begin` (included) and
* `end` (excluded).
*
* Requirements:
* - The substring must be formatted as `(0x)?[0-9a-fA-F]{40}`
*/
function parseAddress(string memory input, uint256 begin, uint256 end) internal pure returns (address) {
(bool success, address value) = tryParseAddress(input, begin, end);
if (!success) revert StringsInvalidAddressFormat();
return value;
}
/**
* @dev Variant of {parseAddress-string} that returns false if the parsing fails because the input is not a properly
* formatted address. See {parseAddress} requirements.
*/
function tryParseAddress(string memory input) internal pure returns (bool success, address value) {
return tryParseAddress(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseAddress-string-uint256-uint256} that returns false if the parsing fails because input is not a properly
* formatted address. See {parseAddress} requirements.
*/
function tryParseAddress(
string memory input,
uint256 begin,
uint256 end
) internal pure returns (bool success, address value) {
if (end > bytes(input).length || begin > end) return (false, address(0));
bool hasPrefix = (end > begin + 1) && bytes2(_unsafeReadBytesOffset(bytes(input), begin)) == bytes2("0x"); // don't do out-of-bound (possibly unsafe) read if sub-string is empty
uint256 expectedLength = 40 + hasPrefix.toUint() * 2;
// check that input is the correct length
if (end - begin == expectedLength) {
// length guarantees that this does not overflow, and value is at most type(uint160).max
(bool s, uint256 v) = _tryParseHexUintUncheckedBounds(input, begin, end);
return (s, address(uint160(v)));
} else {
return (false, address(0));
}
}
function _tryParseChr(bytes1 chr) private pure returns (uint8) {
uint8 value = uint8(chr);
// Try to parse `chr`:
// - Case 1: [0-9]
// - Case 2: [a-f]
// - Case 3: [A-F]
// - otherwise not supported
unchecked {
if (value > 47 && value < 58) value -= 48;
else if (value > 96 && value < 103) value -= 87;
else if (value > 64 && value < 71) value -= 55;
else return type(uint8).max;
}
return value;
}
/**
* @dev Reads a bytes32 from a bytes array without bounds checking.
*
* NOTE: making this function internal would mean it could be used with memory unsafe offset, and marking the
* assembly block as such would prevent some optimizations.
*/
function _unsafeReadBytesOffset(bytes memory buffer, uint256 offset) private pure returns (bytes32 value) {
// This is not memory safe in the general case, but all calls to this private function are within bounds.
assembly ("memory-safe") {
value := mload(add(buffer, add(0x20, offset)))
}
}
}
// SPDX-License-Identifier: BSD-4-Clause
/*
* ABDK Math Quad Smart Contract Library. Copyright © 2019 by ABDK Consulting.
* Author: Mikhail Vladimirov <[email protected]>
*/
pragma solidity ^0.8.0;
/**
* Smart contract library of mathematical functions operating with IEEE 754
* quadruple-precision binary floating-point numbers (quadruple precision
* numbers). As long as quadruple precision numbers are 16-bytes long, they are
* represented by bytes16 type.
*/
library ABDKMathQuad {
/*
* 0.
*/
bytes16 private constant POSITIVE_ZERO = 0x00000000000000000000000000000000;
/*
* -0.
*/
bytes16 private constant NEGATIVE_ZERO = 0x80000000000000000000000000000000;
/*
* +Infinity.
*/
bytes16 private constant POSITIVE_INFINITY = 0x7FFF0000000000000000000000000000;
/*
* -Infinity.
*/
bytes16 private constant NEGATIVE_INFINITY = 0xFFFF0000000000000000000000000000;
/*
* Canonical NaN value.
*/
bytes16 private constant NaN = 0x7FFF8000000000000000000000000000;
/**
* Convert signed 256-bit integer number into quadruple precision number.
*
* @param x signed 256-bit integer number
* @return quadruple precision number
*/
function fromInt (int256 x) internal pure returns (bytes16) {
unchecked {
if (x == 0) return bytes16 (0);
else {
// We rely on overflow behavior here
uint256 result = uint256 (x > 0 ? x : -x);
uint256 msb = mostSignificantBit (result);
if (msb < 112) result <<= 112 - msb;
else if (msb > 112) result >>= msb - 112;
result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16383 + msb << 112;
if (x < 0) result |= 0x80000000000000000000000000000000;
return bytes16 (uint128 (result));
}
}
}
/**
* Convert quadruple precision number into signed 256-bit integer number
* rounding towards zero. Revert on overflow.
*
* @param x quadruple precision number
* @return signed 256-bit integer number
*/
function toInt (bytes16 x) internal pure returns (int256) {
unchecked {
uint256 exponent = uint128 (x) >> 112 & 0x7FFF;
require (exponent <= 16638); // Overflow
if (exponent < 16383) return 0; // Underflow
uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
0x10000000000000000000000000000;
if (exponent < 16495) result >>= 16495 - exponent;
else if (exponent > 16495) result <<= exponent - 16495;
if (uint128 (x) >= 0x80000000000000000000000000000000) { // Negative
require (result <= 0x8000000000000000000000000000000000000000000000000000000000000000);
return -int256 (result); // We rely on overflow behavior here
} else {
require (result <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
return int256 (result);
}
}
}
/**
* Convert unsigned 256-bit integer number into quadruple precision number.
*
* @param x unsigned 256-bit integer number
* @return quadruple precision number
*/
function fromUInt (uint256 x) internal pure returns (bytes16) {
unchecked {
if (x == 0) return bytes16 (0);
else {
uint256 result = x;
uint256 msb = mostSignificantBit (result);
if (msb < 112) result <<= 112 - msb;
else if (msb > 112) result >>= msb - 112;
result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16383 + msb << 112;
return bytes16 (uint128 (result));
}
}
}
/**
* Convert quadruple precision number into unsigned 256-bit integer number
* rounding towards zero. Revert on underflow. Note, that negative floating
* point numbers in range (-1.0 .. 0.0) may be converted to unsigned integer
* without error, because they are rounded to zero.
*
* @param x quadruple precision number
* @return unsigned 256-bit integer number
*/
function toUInt (bytes16 x) internal pure returns (uint256) {
unchecked {
uint256 exponent = uint128 (x) >> 112 & 0x7FFF;
if (exponent < 16383) return 0; // Underflow
require (uint128 (x) < 0x80000000000000000000000000000000); // Negative
require (exponent <= 16638); // Overflow
uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
0x10000000000000000000000000000;
if (exponent < 16495) result >>= 16495 - exponent;
else if (exponent > 16495) result <<= exponent - 16495;
return result;
}
}
/**
* Convert signed 128.128 bit fixed point number into quadruple precision
* number.
*
* @param x signed 128.128 bit fixed point number
* @return quadruple precision number
*/
function from128x128 (int256 x) internal pure returns (bytes16) {
unchecked {
if (x == 0) return bytes16 (0);
else {
// We rely on overflow behavior here
uint256 result = uint256 (x > 0 ? x : -x);
uint256 msb = mostSignificantBit (result);
if (msb < 112) result <<= 112 - msb;
else if (msb > 112) result >>= msb - 112;
result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16255 + msb << 112;
if (x < 0) result |= 0x80000000000000000000000000000000;
return bytes16 (uint128 (result));
}
}
}
/**
* Convert quadruple precision number into signed 128.128 bit fixed point
* number. Revert on overflow.
*
* @param x quadruple precision number
* @return signed 128.128 bit fixed point number
*/
function to128x128 (bytes16 x) internal pure returns (int256) {
unchecked {
uint256 exponent = uint128 (x) >> 112 & 0x7FFF;
require (exponent <= 16510); // Overflow
if (exponent < 16255) return 0; // Underflow
uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
0x10000000000000000000000000000;
if (exponent < 16367) result >>= 16367 - exponent;
else if (exponent > 16367) result <<= exponent - 16367;
if (uint128 (x) >= 0x80000000000000000000000000000000) { // Negative
require (result <= 0x8000000000000000000000000000000000000000000000000000000000000000);
return -int256 (result); // We rely on overflow behavior here
} else {
require (result <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
return int256 (result);
}
}
}
/**
* Convert signed 64.64 bit fixed point number into quadruple precision
* number.
*
* @param x signed 64.64 bit fixed point number
* @return quadruple precision number
*/
function from64x64 (int128 x) internal pure returns (bytes16) {
unchecked {
if (x == 0) return bytes16 (0);
else {
// We rely on overflow behavior here
uint256 result = uint128 (x > 0 ? x : -x);
uint256 msb = mostSignificantBit (result);
if (msb < 112) result <<= 112 - msb;
else if (msb > 112) result >>= msb - 112;
result = result & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF | 16319 + msb << 112;
if (x < 0) result |= 0x80000000000000000000000000000000;
return bytes16 (uint128 (result));
}
}
}
/**
* Convert quadruple precision number into signed 64.64 bit fixed point
* number. Revert on overflow.
*
* @param x quadruple precision number
* @return signed 64.64 bit fixed point number
*/
function to64x64 (bytes16 x) internal pure returns (int128) {
unchecked {
uint256 exponent = uint128 (x) >> 112 & 0x7FFF;
require (exponent <= 16446); // Overflow
if (exponent < 16319) return 0; // Underflow
uint256 result = uint256 (uint128 (x)) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF |
0x10000000000000000000000000000;
if (exponent < 16431) result >>= 16431 - exponent;
else if (exponent > 16431) result <<= exponent - 16431;
if (uint128 (x) >= 0x80000000000000000000000000000000) { // Negative
require (result <= 0x80000000000000000000000000000000);
return -int128 (int256 (result)); // We rely on overflow behavior here
} else {
require (result <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF);
return int128 (int256 (result));
}
}
}
/**
* Convert octuple precision number into quadruple precision number.
*
* @param x octuple precision number
* @return quadruple precision number
*/
function fromOctuple (bytes32 x) internal pure returns (bytes16) {
unchecked {
bool negative = x & 0x8000000000000000000000000000000000000000000000000000000000000000 > 0;
uint256 exponent = uint256 (x) >> 236 & 0x7FFFF;
uint256 significand = uint256 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (exponent == 0x7FFFF) {
if (significand > 0) return NaN;
else return negative ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
}
if (exponent > 278526)
return negative ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
else if (exponent < 245649)
return negative ? NEGATIVE_ZERO : POSITIVE_ZERO;
else if (exponent < 245761) {
significand = (significand | 0x100000000000000000000000000000000000000000000000000000000000) >> 245885 - exponent;
exponent = 0;
} else {
significand >>= 124;
exponent -= 245760;
}
uint128 result = uint128 (significand | exponent << 112);
if (negative) result |= 0x80000000000000000000000000000000;
return bytes16 (result);
}
}
/**
* Convert quadruple precision number into octuple precision number.
*
* @param x quadruple precision number
* @return octuple precision number
*/
function toOctuple (bytes16 x) internal pure returns (bytes32) {
unchecked {
uint256 exponent = uint128 (x) >> 112 & 0x7FFF;
uint256 result = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (exponent == 0x7FFF) exponent = 0x7FFFF; // Infinity or NaN
else if (exponent == 0) {
if (result > 0) {
uint256 msb = mostSignificantBit (result);
result = result << 236 - msb & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
exponent = 245649 + msb;
}
} else {
result <<= 124;
exponent += 245760;
}
result |= exponent << 236;
if (uint128 (x) >= 0x80000000000000000000000000000000)
result |= 0x8000000000000000000000000000000000000000000000000000000000000000;
return bytes32 (result);
}
}
/**
* Convert double precision number into quadruple precision number.
*
* @param x double precision number
* @return quadruple precision number
*/
function fromDouble (bytes8 x) internal pure returns (bytes16) {
unchecked {
uint256 exponent = uint64 (x) >> 52 & 0x7FF;
uint256 result = uint64 (x) & 0xFFFFFFFFFFFFF;
if (exponent == 0x7FF) exponent = 0x7FFF; // Infinity or NaN
else if (exponent == 0) {
if (result > 0) {
uint256 msb = mostSignificantBit (result);
result = result << 112 - msb & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
exponent = 15309 + msb;
}
} else {
result <<= 60;
exponent += 15360;
}
result |= exponent << 112;
if (x & 0x8000000000000000 > 0)
result |= 0x80000000000000000000000000000000;
return bytes16 (uint128 (result));
}
}
/**
* Convert quadruple precision number into double precision number.
*
* @param x quadruple precision number
* @return double precision number
*/
function toDouble (bytes16 x) internal pure returns (bytes8) {
unchecked {
bool negative = uint128 (x) >= 0x80000000000000000000000000000000;
uint256 exponent = uint128 (x) >> 112 & 0x7FFF;
uint256 significand = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (exponent == 0x7FFF) {
if (significand > 0) return 0x7FF8000000000000; // NaN
else return negative ?
bytes8 (0xFFF0000000000000) : // -Infinity
bytes8 (0x7FF0000000000000); // Infinity
}
if (exponent > 17406)
return negative ?
bytes8 (0xFFF0000000000000) : // -Infinity
bytes8 (0x7FF0000000000000); // Infinity
else if (exponent < 15309)
return negative ?
bytes8 (0x8000000000000000) : // -0
bytes8 (0x0000000000000000); // 0
else if (exponent < 15361) {
significand = (significand | 0x10000000000000000000000000000) >> 15421 - exponent;
exponent = 0;
} else {
significand >>= 60;
exponent -= 15360;
}
uint64 result = uint64 (significand | exponent << 52);
if (negative) result |= 0x8000000000000000;
return bytes8 (result);
}
}
/**
* Test whether given quadruple precision number is NaN.
*
* @param x quadruple precision number
* @return true if x is NaN, false otherwise
*/
function isNaN (bytes16 x) internal pure returns (bool) {
unchecked {
return uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF >
0x7FFF0000000000000000000000000000;
}
}
/**
* Test whether given quadruple precision number is positive or negative
* infinity.
*
* @param x quadruple precision number
* @return true if x is positive or negative infinity, false otherwise
*/
function isInfinity (bytes16 x) internal pure returns (bool) {
unchecked {
return uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF ==
0x7FFF0000000000000000000000000000;
}
}
/**
* Calculate sign of x, i.e. -1 if x is negative, 0 if x if zero, and 1 if x
* is positive. Note that sign (-0) is zero. Revert if x is NaN.
*
* @param x quadruple precision number
* @return sign of x
*/
function sign (bytes16 x) internal pure returns (int8) {
unchecked {
uint128 absoluteX = uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
require (absoluteX <= 0x7FFF0000000000000000000000000000); // Not NaN
if (absoluteX == 0) return 0;
else if (uint128 (x) >= 0x80000000000000000000000000000000) return -1;
else return 1;
}
}
/**
* Calculate sign (x - y). Revert if either argument is NaN, or both
* arguments are infinities of the same sign.
*
* @param x quadruple precision number
* @param y quadruple precision number
* @return sign (x - y)
*/
function cmp (bytes16 x, bytes16 y) internal pure returns (int8) {
unchecked {
uint128 absoluteX = uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
require (absoluteX <= 0x7FFF0000000000000000000000000000); // Not NaN
uint128 absoluteY = uint128 (y) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
require (absoluteY <= 0x7FFF0000000000000000000000000000); // Not NaN
// Not infinities of the same sign
require (x != y || absoluteX < 0x7FFF0000000000000000000000000000);
if (x == y) return 0;
else {
bool negativeX = uint128 (x) >= 0x80000000000000000000000000000000;
bool negativeY = uint128 (y) >= 0x80000000000000000000000000000000;
if (negativeX) {
if (negativeY) return absoluteX > absoluteY ? -1 : int8 (1);
else return -1;
} else {
if (negativeY) return 1;
else return absoluteX > absoluteY ? int8 (1) : -1;
}
}
}
}
/**
* Test whether x equals y. NaN, infinity, and -infinity are not equal to
* anything.
*
* @param x quadruple precision number
* @param y quadruple precision number
* @return true if x equals to y, false otherwise
*/
function eq (bytes16 x, bytes16 y) internal pure returns (bool) {
unchecked {
if (x == y) {
return uint128 (x) & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF <
0x7FFF0000000000000000000000000000;
} else return false;
}
}
/**
* Calculate x + y. Special values behave in the following way:
*
* NaN + x = NaN for any x.
* Infinity + x = Infinity for any finite x.
* -Infinity + x = -Infinity for any finite x.
* Infinity + Infinity = Infinity.
* -Infinity + -Infinity = -Infinity.
* Infinity + -Infinity = -Infinity + Infinity = NaN.
*
* @param x quadruple precision number
* @param y quadruple precision number
* @return quadruple precision number
*/
function add (bytes16 x, bytes16 y) internal pure returns (bytes16) {
unchecked {
uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
uint256 yExponent = uint128 (y) >> 112 & 0x7FFF;
if (xExponent == 0x7FFF) {
if (yExponent == 0x7FFF) {
if (x == y) return x;
else return NaN;
} else return x;
} else if (yExponent == 0x7FFF) return y;
else {
bool xSign = uint128 (x) >= 0x80000000000000000000000000000000;
uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (xExponent == 0) xExponent = 1;
else xSignifier |= 0x10000000000000000000000000000;
bool ySign = uint128 (y) >= 0x80000000000000000000000000000000;
uint256 ySignifier = uint128 (y) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (yExponent == 0) yExponent = 1;
else ySignifier |= 0x10000000000000000000000000000;
if (xSignifier == 0) return y == NEGATIVE_ZERO ? POSITIVE_ZERO : y;
else if (ySignifier == 0) return x == NEGATIVE_ZERO ? POSITIVE_ZERO : x;
else {
int256 delta = int256 (xExponent) - int256 (yExponent);
if (xSign == ySign) {
if (delta > 112) return x;
else if (delta > 0) ySignifier >>= uint256 (delta);
else if (delta < -112) return y;
else if (delta < 0) {
xSignifier >>= uint256 (-delta);
xExponent = yExponent;
}
xSignifier += ySignifier;
if (xSignifier >= 0x20000000000000000000000000000) {
xSignifier >>= 1;
xExponent += 1;
}
if (xExponent == 0x7FFF)
return xSign ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
else {
if (xSignifier < 0x10000000000000000000000000000) xExponent = 0;
else xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
return bytes16 (uint128 (
(xSign ? 0x80000000000000000000000000000000 : 0) |
(xExponent << 112) |
xSignifier));
}
} else {
if (delta > 0) {
xSignifier <<= 1;
xExponent -= 1;
} else if (delta < 0) {
ySignifier <<= 1;
xExponent = yExponent - 1;
}
if (delta > 112) ySignifier = 1;
else if (delta > 1) ySignifier = (ySignifier - 1 >> uint256 (delta - 1)) + 1;
else if (delta < -112) xSignifier = 1;
else if (delta < -1) xSignifier = (xSignifier - 1 >> uint256 (-delta - 1)) + 1;
if (xSignifier >= ySignifier) xSignifier -= ySignifier;
else {
xSignifier = ySignifier - xSignifier;
xSign = ySign;
}
if (xSignifier == 0)
return POSITIVE_ZERO;
uint256 msb = mostSignificantBit (xSignifier);
if (msb == 113) {
xSignifier = xSignifier >> 1 & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
xExponent += 1;
} else if (msb < 112) {
uint256 shift = 112 - msb;
if (xExponent > shift) {
xSignifier = xSignifier << shift & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
xExponent -= shift;
} else {
xSignifier <<= xExponent - 1;
xExponent = 0;
}
} else xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (xExponent == 0x7FFF)
return xSign ? NEGATIVE_INFINITY : POSITIVE_INFINITY;
else return bytes16 (uint128 (
(xSign ? 0x80000000000000000000000000000000 : 0) |
(xExponent << 112) |
xSignifier));
}
}
}
}
}
/**
* Calculate x - y. Special values behave in the following way:
*
* NaN - x = NaN for any x.
* Infinity - x = Infinity for any finite x.
* -Infinity - x = -Infinity for any finite x.
* Infinity - -Infinity = Infinity.
* -Infinity - Infinity = -Infinity.
* Infinity - Infinity = -Infinity - -Infinity = NaN.
*
* @param x quadruple precision number
* @param y quadruple precision number
* @return quadruple precision number
*/
function sub (bytes16 x, bytes16 y) internal pure returns (bytes16) {
unchecked {
return add (x, y ^ 0x80000000000000000000000000000000);
}
}
/**
* Calculate x * y. Special values behave in the following way:
*
* NaN * x = NaN for any x.
* Infinity * x = Infinity for any finite positive x.
* Infinity * x = -Infinity for any finite negative x.
* -Infinity * x = -Infinity for any finite positive x.
* -Infinity * x = Infinity for any finite negative x.
* Infinity * 0 = NaN.
* -Infinity * 0 = NaN.
* Infinity * Infinity = Infinity.
* Infinity * -Infinity = -Infinity.
* -Infinity * Infinity = -Infinity.
* -Infinity * -Infinity = Infinity.
*
* @param x quadruple precision number
* @param y quadruple precision number
* @return quadruple precision number
*/
function mul (bytes16 x, bytes16 y) internal pure returns (bytes16) {
unchecked {
uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
uint256 yExponent = uint128 (y) >> 112 & 0x7FFF;
if (xExponent == 0x7FFF) {
if (yExponent == 0x7FFF) {
if (x == y) return x ^ y & 0x80000000000000000000000000000000;
else if (x ^ y == 0x80000000000000000000000000000000) return x | y;
else return NaN;
} else {
if (y & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF == 0) return NaN;
else return x ^ y & 0x80000000000000000000000000000000;
}
} else if (yExponent == 0x7FFF) {
if (x & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF == 0) return NaN;
else return y ^ x & 0x80000000000000000000000000000000;
} else {
uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (xExponent == 0) xExponent = 1;
else xSignifier |= 0x10000000000000000000000000000;
uint256 ySignifier = uint128 (y) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (yExponent == 0) yExponent = 1;
else ySignifier |= 0x10000000000000000000000000000;
xSignifier *= ySignifier;
if (xSignifier == 0)
return (x ^ y) & 0x80000000000000000000000000000000 > 0 ?
NEGATIVE_ZERO : POSITIVE_ZERO;
xExponent += yExponent;
uint256 msb =
xSignifier >= 0x200000000000000000000000000000000000000000000000000000000 ? 225 :
xSignifier >= 0x100000000000000000000000000000000000000000000000000000000 ? 224 :
mostSignificantBit (xSignifier);
if (xExponent + msb < 16496) { // Underflow
xExponent = 0;
xSignifier = 0;
} else if (xExponent + msb < 16608) { // Subnormal
if (xExponent < 16496)
xSignifier >>= 16496 - xExponent;
else if (xExponent > 16496)
xSignifier <<= xExponent - 16496;
xExponent = 0;
} else if (xExponent + msb > 49373) {
xExponent = 0x7FFF;
xSignifier = 0;
} else {
if (msb > 112)
xSignifier >>= msb - 112;
else if (msb < 112)
xSignifier <<= 112 - msb;
xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
xExponent = xExponent + msb - 16607;
}
return bytes16 (uint128 (uint128 ((x ^ y) & 0x80000000000000000000000000000000) |
xExponent << 112 | xSignifier));
}
}
}
/**
* Calculate x / y. Special values behave in the following way:
*
* NaN / x = NaN for any x.
* x / NaN = NaN for any x.
* Infinity / x = Infinity for any finite non-negative x.
* Infinity / x = -Infinity for any finite negative x including -0.
* -Infinity / x = -Infinity for any finite non-negative x.
* -Infinity / x = Infinity for any finite negative x including -0.
* x / Infinity = 0 for any finite non-negative x.
* x / -Infinity = -0 for any finite non-negative x.
* x / Infinity = -0 for any finite non-negative x including -0.
* x / -Infinity = 0 for any finite non-negative x including -0.
*
* Infinity / Infinity = NaN.
* Infinity / -Infinity = -NaN.
* -Infinity / Infinity = -NaN.
* -Infinity / -Infinity = NaN.
*
* Division by zero behaves in the following way:
*
* x / 0 = Infinity for any finite positive x.
* x / -0 = -Infinity for any finite positive x.
* x / 0 = -Infinity for any finite negative x.
* x / -0 = Infinity for any finite negative x.
* 0 / 0 = NaN.
* 0 / -0 = NaN.
* -0 / 0 = NaN.
* -0 / -0 = NaN.
*
* @param x quadruple precision number
* @param y quadruple precision number
* @return quadruple precision number
*/
function div (bytes16 x, bytes16 y) internal pure returns (bytes16) {
unchecked {
uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
uint256 yExponent = uint128 (y) >> 112 & 0x7FFF;
if (xExponent == 0x7FFF) {
if (yExponent == 0x7FFF) return NaN;
else return x ^ y & 0x80000000000000000000000000000000;
} else if (yExponent == 0x7FFF) {
if (y & 0x0000FFFFFFFFFFFFFFFFFFFFFFFFFFFF != 0) return NaN;
else return POSITIVE_ZERO | (x ^ y) & 0x80000000000000000000000000000000;
} else if (y & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF == 0) {
if (x & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF == 0) return NaN;
else return POSITIVE_INFINITY | (x ^ y) & 0x80000000000000000000000000000000;
} else {
uint256 ySignifier = uint128 (y) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (yExponent == 0) yExponent = 1;
else ySignifier |= 0x10000000000000000000000000000;
uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (xExponent == 0) {
if (xSignifier != 0) {
uint shift = 226 - mostSignificantBit (xSignifier);
xSignifier <<= shift;
xExponent = 1;
yExponent += shift - 114;
}
}
else {
xSignifier = (xSignifier | 0x10000000000000000000000000000) << 114;
}
xSignifier = xSignifier / ySignifier;
if (xSignifier == 0)
return (x ^ y) & 0x80000000000000000000000000000000 > 0 ?
NEGATIVE_ZERO : POSITIVE_ZERO;
assert (xSignifier >= 0x1000000000000000000000000000);
uint256 msb =
xSignifier >= 0x80000000000000000000000000000 ? mostSignificantBit (xSignifier) :
xSignifier >= 0x40000000000000000000000000000 ? 114 :
xSignifier >= 0x20000000000000000000000000000 ? 113 : 112;
if (xExponent + msb > yExponent + 16497) { // Overflow
xExponent = 0x7FFF;
xSignifier = 0;
} else if (xExponent + msb + 16380 < yExponent) { // Underflow
xExponent = 0;
xSignifier = 0;
} else if (xExponent + msb + 16268 < yExponent) { // Subnormal
if (xExponent + 16380 > yExponent)
xSignifier <<= xExponent + 16380 - yExponent;
else if (xExponent + 16380 < yExponent)
xSignifier >>= yExponent - xExponent - 16380;
xExponent = 0;
} else { // Normal
if (msb > 112)
xSignifier >>= msb - 112;
xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
xExponent = xExponent + msb + 16269 - yExponent;
}
return bytes16 (uint128 (uint128 ((x ^ y) & 0x80000000000000000000000000000000) |
xExponent << 112 | xSignifier));
}
}
}
/**
* Calculate -x.
*
* @param x quadruple precision number
* @return quadruple precision number
*/
function neg (bytes16 x) internal pure returns (bytes16) {
unchecked {
return x ^ 0x80000000000000000000000000000000;
}
}
/**
* Calculate |x|.
*
* @param x quadruple precision number
* @return quadruple precision number
*/
function abs (bytes16 x) internal pure returns (bytes16) {
unchecked {
return x & 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
}
}
/**
* Calculate square root of x. Return NaN on negative x excluding -0.
*
* @param x quadruple precision number
* @return quadruple precision number
*/
function sqrt (bytes16 x) internal pure returns (bytes16) {
unchecked {
if (uint128 (x) > 0x80000000000000000000000000000000) return NaN;
else {
uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
if (xExponent == 0x7FFF) return x;
else {
uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (xExponent == 0) xExponent = 1;
else xSignifier |= 0x10000000000000000000000000000;
if (xSignifier == 0) return POSITIVE_ZERO;
bool oddExponent = xExponent & 0x1 == 0;
xExponent = xExponent + 16383 >> 1;
if (oddExponent) {
if (xSignifier >= 0x10000000000000000000000000000)
xSignifier <<= 113;
else {
uint256 msb = mostSignificantBit (xSignifier);
uint256 shift = (226 - msb) & 0xFE;
xSignifier <<= shift;
xExponent -= shift - 112 >> 1;
}
} else {
if (xSignifier >= 0x10000000000000000000000000000)
xSignifier <<= 112;
else {
uint256 msb = mostSignificantBit (xSignifier);
uint256 shift = (225 - msb) & 0xFE;
xSignifier <<= shift;
xExponent -= shift - 112 >> 1;
}
}
uint256 r = 0x10000000000000000000000000000;
r = (r + xSignifier / r) >> 1;
r = (r + xSignifier / r) >> 1;
r = (r + xSignifier / r) >> 1;
r = (r + xSignifier / r) >> 1;
r = (r + xSignifier / r) >> 1;
r = (r + xSignifier / r) >> 1;
r = (r + xSignifier / r) >> 1; // Seven iterations should be enough
uint256 r1 = xSignifier / r;
if (r1 < r) r = r1;
return bytes16 (uint128 (xExponent << 112 | r & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF));
}
}
}
}
/**
* Calculate binary logarithm of x. Return NaN on negative x excluding -0.
*
* @param x quadruple precision number
* @return quadruple precision number
*/
function log_2 (bytes16 x) internal pure returns (bytes16) {
unchecked {
if (uint128 (x) > 0x80000000000000000000000000000000) return NaN;
else if (x == 0x3FFF0000000000000000000000000000) return POSITIVE_ZERO;
else {
uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
if (xExponent == 0x7FFF) return x;
else {
uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (xExponent == 0) xExponent = 1;
else xSignifier |= 0x10000000000000000000000000000;
if (xSignifier == 0) return NEGATIVE_INFINITY;
bool resultNegative;
uint256 resultExponent = 16495;
uint256 resultSignifier;
if (xExponent >= 0x3FFF) {
resultNegative = false;
resultSignifier = xExponent - 0x3FFF;
xSignifier <<= 15;
} else {
resultNegative = true;
if (xSignifier >= 0x10000000000000000000000000000) {
resultSignifier = 0x3FFE - xExponent;
xSignifier <<= 15;
} else {
uint256 msb = mostSignificantBit (xSignifier);
resultSignifier = 16493 - msb;
xSignifier <<= 127 - msb;
}
}
if (xSignifier == 0x80000000000000000000000000000000) {
if (resultNegative) resultSignifier += 1;
uint256 shift = 112 - mostSignificantBit (resultSignifier);
resultSignifier <<= shift;
resultExponent -= shift;
} else {
uint256 bb = resultNegative ? 1 : 0;
while (resultSignifier < 0x10000000000000000000000000000) {
resultSignifier <<= 1;
resultExponent -= 1;
xSignifier *= xSignifier;
uint256 b = xSignifier >> 255;
resultSignifier += b ^ bb;
xSignifier >>= 127 + b;
}
}
return bytes16 (uint128 ((resultNegative ? 0x80000000000000000000000000000000 : 0) |
resultExponent << 112 | resultSignifier & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF));
}
}
}
}
/**
* Calculate natural logarithm of x. Return NaN on negative x excluding -0.
*
* @param x quadruple precision number
* @return quadruple precision number
*/
function ln (bytes16 x) internal pure returns (bytes16) {
unchecked {
return mul (log_2 (x), 0x3FFE62E42FEFA39EF35793C7673007E5);
}
}
/**
* Calculate 2^x.
*
* @param x quadruple precision number
* @return quadruple precision number
*/
function pow_2 (bytes16 x) internal pure returns (bytes16) {
unchecked {
bool xNegative = uint128 (x) > 0x80000000000000000000000000000000;
uint256 xExponent = uint128 (x) >> 112 & 0x7FFF;
uint256 xSignifier = uint128 (x) & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (xExponent == 0x7FFF && xSignifier != 0) return NaN;
else if (xExponent > 16397)
return xNegative ? POSITIVE_ZERO : POSITIVE_INFINITY;
else if (xExponent < 16255)
return 0x3FFF0000000000000000000000000000;
else {
if (xExponent == 0) xExponent = 1;
else xSignifier |= 0x10000000000000000000000000000;
if (xExponent > 16367)
xSignifier <<= xExponent - 16367;
else if (xExponent < 16367)
xSignifier >>= 16367 - xExponent;
if (xNegative && xSignifier > 0x406E00000000000000000000000000000000)
return POSITIVE_ZERO;
if (!xNegative && xSignifier > 0x3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF)
return POSITIVE_INFINITY;
uint256 resultExponent = xSignifier >> 128;
xSignifier &= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
if (xNegative && xSignifier != 0) {
xSignifier = ~xSignifier;
resultExponent += 1;
}
uint256 resultSignifier = 0x80000000000000000000000000000000;
if (xSignifier & 0x80000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x16A09E667F3BCC908B2FB1366EA957D3E >> 128;
if (xSignifier & 0x40000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1306FE0A31B7152DE8D5A46305C85EDEC >> 128;
if (xSignifier & 0x20000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1172B83C7D517ADCDF7C8C50EB14A791F >> 128;
if (xSignifier & 0x10000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10B5586CF9890F6298B92B71842A98363 >> 128;
if (xSignifier & 0x8000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1059B0D31585743AE7C548EB68CA417FD >> 128;
if (xSignifier & 0x4000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x102C9A3E778060EE6F7CACA4F7A29BDE8 >> 128;
if (xSignifier & 0x2000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10163DA9FB33356D84A66AE336DCDFA3F >> 128;
if (xSignifier & 0x1000000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100B1AFA5ABCBED6129AB13EC11DC9543 >> 128;
if (xSignifier & 0x800000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10058C86DA1C09EA1FF19D294CF2F679B >> 128;
if (xSignifier & 0x400000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1002C605E2E8CEC506D21BFC89A23A00F >> 128;
if (xSignifier & 0x200000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100162F3904051FA128BCA9C55C31E5DF >> 128;
if (xSignifier & 0x100000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000B175EFFDC76BA38E31671CA939725 >> 128;
if (xSignifier & 0x80000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100058BA01FB9F96D6CACD4B180917C3D >> 128;
if (xSignifier & 0x40000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10002C5CC37DA9491D0985C348C68E7B3 >> 128;
if (xSignifier & 0x20000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000162E525EE054754457D5995292026 >> 128;
if (xSignifier & 0x10000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000B17255775C040618BF4A4ADE83FC >> 128;
if (xSignifier & 0x8000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000058B91B5BC9AE2EED81E9B7D4CFAB >> 128;
if (xSignifier & 0x4000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100002C5C89D5EC6CA4D7C8ACC017B7C9 >> 128;
if (xSignifier & 0x2000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000162E43F4F831060E02D839A9D16D >> 128;
if (xSignifier & 0x1000000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000B1721BCFC99D9F890EA06911763 >> 128;
if (xSignifier & 0x800000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000058B90CF1E6D97F9CA14DBCC1628 >> 128;
if (xSignifier & 0x400000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000002C5C863B73F016468F6BAC5CA2B >> 128;
if (xSignifier & 0x200000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000162E430E5A18F6119E3C02282A5 >> 128;
if (xSignifier & 0x100000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000B1721835514B86E6D96EFD1BFE >> 128;
if (xSignifier & 0x80000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000058B90C0B48C6BE5DF846C5B2EF >> 128;
if (xSignifier & 0x40000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000002C5C8601CC6B9E94213C72737A >> 128;
if (xSignifier & 0x20000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000162E42FFF037DF38AA2B219F06 >> 128;
if (xSignifier & 0x10000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000B17217FBA9C739AA5819F44F9 >> 128;
if (xSignifier & 0x8000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000058B90BFCDEE5ACD3C1CEDC823 >> 128;
if (xSignifier & 0x4000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000002C5C85FE31F35A6A30DA1BE50 >> 128;
if (xSignifier & 0x2000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000162E42FF0999CE3541B9FFFCF >> 128;
if (xSignifier & 0x1000000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000B17217F80F4EF5AADDA45554 >> 128;
if (xSignifier & 0x800000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000058B90BFBF8479BD5A81B51AD >> 128;
if (xSignifier & 0x400000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000002C5C85FDF84BD62AE30A74CC >> 128;
if (xSignifier & 0x200000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000162E42FEFB2FED257559BDAA >> 128;
if (xSignifier & 0x100000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000B17217F7D5A7716BBA4A9AE >> 128;
if (xSignifier & 0x80000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000058B90BFBE9DDBAC5E109CCE >> 128;
if (xSignifier & 0x40000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000002C5C85FDF4B15DE6F17EB0D >> 128;
if (xSignifier & 0x20000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000162E42FEFA494F1478FDE05 >> 128;
if (xSignifier & 0x10000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000B17217F7D20CF927C8E94C >> 128;
if (xSignifier & 0x8000000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000058B90BFBE8F71CB4E4B33D >> 128;
if (xSignifier & 0x4000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000002C5C85FDF477B662B26945 >> 128;
if (xSignifier & 0x2000000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000162E42FEFA3AE53369388C >> 128;
if (xSignifier & 0x1000000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000B17217F7D1D351A389D40 >> 128;
if (xSignifier & 0x800000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000058B90BFBE8E8B2D3D4EDE >> 128;
if (xSignifier & 0x400000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000002C5C85FDF4741BEA6E77E >> 128;
if (xSignifier & 0x200000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000162E42FEFA39FE95583C2 >> 128;
if (xSignifier & 0x100000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000B17217F7D1CFB72B45E1 >> 128;
if (xSignifier & 0x80000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000058B90BFBE8E7CC35C3F0 >> 128;
if (xSignifier & 0x40000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000002C5C85FDF473E242EA38 >> 128;
if (xSignifier & 0x20000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000162E42FEFA39F02B772C >> 128;
if (xSignifier & 0x10000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000B17217F7D1CF7D83C1A >> 128;
if (xSignifier & 0x8000000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000058B90BFBE8E7BDCBE2E >> 128;
if (xSignifier & 0x4000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000002C5C85FDF473DEA871F >> 128;
if (xSignifier & 0x2000000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000162E42FEFA39EF44D91 >> 128;
if (xSignifier & 0x1000000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000B17217F7D1CF79E949 >> 128;
if (xSignifier & 0x800000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000058B90BFBE8E7BCE544 >> 128;
if (xSignifier & 0x400000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000002C5C85FDF473DE6ECA >> 128;
if (xSignifier & 0x200000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000162E42FEFA39EF366F >> 128;
if (xSignifier & 0x100000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000B17217F7D1CF79AFA >> 128;
if (xSignifier & 0x80000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000058B90BFBE8E7BCD6D >> 128;
if (xSignifier & 0x40000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000002C5C85FDF473DE6B2 >> 128;
if (xSignifier & 0x20000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000162E42FEFA39EF358 >> 128;
if (xSignifier & 0x10000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000B17217F7D1CF79AB >> 128;
if (xSignifier & 0x8000000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000058B90BFBE8E7BCD5 >> 128;
if (xSignifier & 0x4000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000002C5C85FDF473DE6A >> 128;
if (xSignifier & 0x2000000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000162E42FEFA39EF34 >> 128;
if (xSignifier & 0x1000000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000B17217F7D1CF799 >> 128;
if (xSignifier & 0x800000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000058B90BFBE8E7BCC >> 128;
if (xSignifier & 0x400000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000002C5C85FDF473DE5 >> 128;
if (xSignifier & 0x200000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000162E42FEFA39EF2 >> 128;
if (xSignifier & 0x100000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000B17217F7D1CF78 >> 128;
if (xSignifier & 0x80000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000058B90BFBE8E7BB >> 128;
if (xSignifier & 0x40000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000002C5C85FDF473DD >> 128;
if (xSignifier & 0x20000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000162E42FEFA39EE >> 128;
if (xSignifier & 0x10000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000B17217F7D1CF6 >> 128;
if (xSignifier & 0x8000000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000058B90BFBE8E7A >> 128;
if (xSignifier & 0x4000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000002C5C85FDF473C >> 128;
if (xSignifier & 0x2000000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000162E42FEFA39D >> 128;
if (xSignifier & 0x1000000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000B17217F7D1CE >> 128;
if (xSignifier & 0x800000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000058B90BFBE8E6 >> 128;
if (xSignifier & 0x400000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000002C5C85FDF472 >> 128;
if (xSignifier & 0x200000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000162E42FEFA38 >> 128;
if (xSignifier & 0x100000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000B17217F7D1B >> 128;
if (xSignifier & 0x80000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000058B90BFBE8D >> 128;
if (xSignifier & 0x40000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000002C5C85FDF46 >> 128;
if (xSignifier & 0x20000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000162E42FEFA2 >> 128;
if (xSignifier & 0x10000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000B17217F7D0 >> 128;
if (xSignifier & 0x8000000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000058B90BFBE7 >> 128;
if (xSignifier & 0x4000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000002C5C85FDF3 >> 128;
if (xSignifier & 0x2000000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000162E42FEF9 >> 128;
if (xSignifier & 0x1000000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000B17217F7C >> 128;
if (xSignifier & 0x800000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000058B90BFBD >> 128;
if (xSignifier & 0x400000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000002C5C85FDE >> 128;
if (xSignifier & 0x200000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000162E42FEE >> 128;
if (xSignifier & 0x100000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000B17217F6 >> 128;
if (xSignifier & 0x80000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000058B90BFA >> 128;
if (xSignifier & 0x40000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000002C5C85FC >> 128;
if (xSignifier & 0x20000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000162E42FD >> 128;
if (xSignifier & 0x10000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000B17217E >> 128;
if (xSignifier & 0x8000000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000058B90BE >> 128;
if (xSignifier & 0x4000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000002C5C85E >> 128;
if (xSignifier & 0x2000000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000162E42E >> 128;
if (xSignifier & 0x1000000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000B17216 >> 128;
if (xSignifier & 0x800000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000058B90A >> 128;
if (xSignifier & 0x400000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000002C5C84 >> 128;
if (xSignifier & 0x200000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000162E41 >> 128;
if (xSignifier & 0x100000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000B1720 >> 128;
if (xSignifier & 0x80000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000058B8F >> 128;
if (xSignifier & 0x40000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000002C5C7 >> 128;
if (xSignifier & 0x20000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000162E3 >> 128;
if (xSignifier & 0x10000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000B171 >> 128;
if (xSignifier & 0x8000 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000058B8 >> 128;
if (xSignifier & 0x4000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000002C5B >> 128;
if (xSignifier & 0x2000 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000162D >> 128;
if (xSignifier & 0x1000 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000B16 >> 128;
if (xSignifier & 0x800 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000058A >> 128;
if (xSignifier & 0x400 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000002C4 >> 128;
if (xSignifier & 0x200 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000161 >> 128;
if (xSignifier & 0x100 > 0) resultSignifier = resultSignifier * 0x1000000000000000000000000000000B0 >> 128;
if (xSignifier & 0x80 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000057 >> 128;
if (xSignifier & 0x40 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000002B >> 128;
if (xSignifier & 0x20 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000015 >> 128;
if (xSignifier & 0x10 > 0) resultSignifier = resultSignifier * 0x10000000000000000000000000000000A >> 128;
if (xSignifier & 0x8 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000004 >> 128;
if (xSignifier & 0x4 > 0) resultSignifier = resultSignifier * 0x100000000000000000000000000000001 >> 128;
if (!xNegative) {
resultSignifier = resultSignifier >> 15 & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
resultExponent += 0x3FFF;
} else if (resultExponent <= 0x3FFE) {
resultSignifier = resultSignifier >> 15 & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
resultExponent = 0x3FFF - resultExponent;
} else {
resultSignifier = resultSignifier >> resultExponent - 16367;
resultExponent = 0;
}
return bytes16 (uint128 (resultExponent << 112 | resultSignifier));
}
}
}
/**
* Calculate e^x.
*
* @param x quadruple precision number
* @return quadruple precision number
*/
function exp (bytes16 x) internal pure returns (bytes16) {
unchecked {
return pow_2 (mul (x, 0x3FFF71547652B82FE1777D0FFDA0D23A));
}
}
/**
* Get index of the most significant non-zero bit in binary representation of
* x. Reverts if x is zero.
*
* @return index of the most significant non-zero bit in binary representation
* of x
*/
function mostSignificantBit (uint256 x) private pure returns (uint256) {
unchecked {
require (x > 0);
uint256 result = 0;
if (x >= 0x100000000000000000000000000000000) { x >>= 128; result += 128; }
if (x >= 0x10000000000000000) { x >>= 64; result += 64; }
if (x >= 0x100000000) { x >>= 32; result += 32; }
if (x >= 0x10000) { x >>= 16; result += 16; }
if (x >= 0x100) { x >>= 8; result += 8; }
if (x >= 0x10) { x >>= 4; result += 4; }
if (x >= 0x4) { x >>= 2; result += 2; }
if (x >= 0x2) result += 1; // No need to shift x anymore
return result;
}
}
}
// SPDX-License-Identifier: MIT
pragma solidity 0.8.20;
import "@openzeppelin/contracts/token/ERC20/ERC20.sol";
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/token/ERC20/extensions/ERC20Permit.sol";
/// @title FIVE Token Contract
/// @notice ERC20 token with a capped supply, minting, burning, and gasless approvals using EIP-2612.
/// @dev Inherits from OpenZeppelin's ERC20, ERC20Permit, and Ownable contracts.
contract FIVE is ERC20, Ownable, ERC20Permit {
uint256 private _maxSupply;
uint256 public totalMinted;
uint256 public totalBurned;
address public treasuryAddr;
/// @notice Event emitted when tokens are minted.
event Mint(address indexed minter, address indexed recipient, uint256 amount);
/// @notice Event emitted when tokens are burned.
event Burn(address indexed burner, uint256 amount);
/// @notice Event emitted when the max supply is decreased.
event MaxSupplyDecreased(uint256 oldMaxSupply, uint256 newMaxSupply);
/// @dev Constructor to initialize the token with its name, symbol, and treasury address.
/// @param initialOwner The address of the treasury to receive the initial minted tokens.
constructor(
address initialOwner,
uint256 initialMint
) ERC20("DeFive", "FIVE") Ownable(initialOwner) ERC20Permit("DeFive") {
_maxSupply = 2000000000e18; // Set initial max supply
treasuryAddr = initialOwner;
require(initialOwner != address(0), "Initial Owner address cannot be zero");
require(initialMint <= _maxSupply, "Initial mint exceeds max supply");
_mint(treasuryAddr, initialMint);
totalMinted = initialMint;
emit Mint(msg.sender, treasuryAddr, initialMint);
}
/// @notice Mint new tokens, restricted to the MasterFarmer.
/// @param recipient The address to receive the minted tokens.
/// @param amount The amount of tokens to mint.
function mint(address recipient, uint256 amount) external onlyOwner {
require(recipient != address(0), "Mint to zero address");
require(totalSupply() + amount <= _maxSupply, "ERC20: minting exceeds max supply");
_mint(recipient, amount);
totalMinted += amount;
emit Mint(msg.sender, recipient, amount);
}
/// @notice Burn tokens from the caller's balance.
/// @param amount The amount of tokens to burn.
function burn(uint256 amount) external {
require(balanceOf(msg.sender) >= amount, "Insufficient balance to burn");
_burn(msg.sender, amount);
totalBurned += amount;
emit Burn(msg.sender, amount);
}
/// @notice Reduce the maximum token supply. Only decreases are allowed.
/// @param newMaxSupply The new maximum supply, which must be less than the current max supply.
function decreaseMaxSupply(uint256 newMaxSupply) external onlyOwner {
require(newMaxSupply < _maxSupply, "New max supply must be less than the current max supply");
require(newMaxSupply >= totalSupply(), "New max supply must not be less than the total supply");
uint256 oldMaxSupply = _maxSupply;
_maxSupply = newMaxSupply;
emit MaxSupplyDecreased(oldMaxSupply, newMaxSupply);
}
/// @notice Get the current maximum token supply.
/// @return The current maximum supply of the token.
function maxSupply() external view returns (uint256) {
return _maxSupply;
}
}
// SPDX-License-Identifier: MIT
pragma solidity 0.8.20;
import "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import "@openzeppelin/contracts/access/Ownable.sol";
import "@openzeppelin/contracts/utils/ReentrancyGuard.sol";
import "abdk-libraries-solidity/ABDKMathQuad.sol";
import "./Five.sol";
// MasterFarmer is the master of FIVE. He can make FIVE and he is a fair guy.
contract MasterFarmer is Ownable, ReentrancyGuard {
using SafeERC20 for IERC20;
// Info of each pool.
struct PoolInfo {
IERC20 lpToken; // Address of LP token contract.
uint256 allocPoint; // How many allocation points assigned to this pool.
uint256 lastRewardBlockTime; // Last block time that FIVE distributions occur.
uint256 accFivePerShare; // Accumulated FIVE per share, times 1e12.
}
// Info of each user.
struct UserInfo {
uint256 amount; // How many LP tokens the user has provided.
uint256 rewardDebt; // Reward debt.
}
// Lock info for PID[0]
struct LockInfo {
uint256 lockAmount; // Amount of FIVE locked.
uint256 unlockTime; // Timestamp when lock expires.
}
PoolInfo[] public poolInfo;
mapping(IERC20 => bool) private poolExistence; // Added mapping for quick duplicate check.
mapping(uint256 => mapping(address => UserInfo)) public userInfo;
mapping(address => LockInfo) public lockInfo;
uint256 public constant MAX_EMISSION = 5 * 1e18; // Max 5 FIVE per second
uint256 public constant MAX_STAKING_PERCENTAGE = 30; // Max 30%
uint256 public constant MAX_LOCK_TIME = 6 * 30 days; // Maximum lock duration: 6 months
uint256 public constant MIN_LOCK_TIME = 1 days; // Minimum lock duration: 2 weeks
FIVE public five;
uint256 public emission = 5 * 1e18;
uint256 public stakingPercentage = 30;
uint256 public totalAllocPoint = 0;
uint256 public startBlockTime;
uint256 public totalLockedAmount; // Total amount of FIVE tokens locked
uint256 public totalLockedUsers; // Total number of users who have locked their FIVE tokens
uint256 public k; // Steepness of the decay curve
event EmergencyWithdraw(address indexed user, uint256 indexed pid, uint256 amount);
event SetTreasury(address indexed user, address indexed newTreasury);
event SetDev(address indexed user, address indexed newDev);
event Add(address indexed user, IERC20 indexed pair, uint256 indexed point);
event Set(address indexed user, uint256 indexed pid, uint256 indexed point);
event Deposit(address indexed user, uint256 indexed pid, uint256 amount);
event Withdraw(address indexed user, uint256 indexed pid, uint256 amount);
event EnterStaking(address indexed user, uint256 amount, uint256 lockTime);
event LeaveStaking(address indexed user, uint256 amount);
event EmissionUpdated(uint256 newRate);
event StakingPercentageUpdated(uint256 newPercentage);
event LockTimeExtended(address indexed user, uint256 extraLockTime, uint256 newUnlockTime);
event KUpdated(uint256 oldK, uint256 newK);
modifier nonDuplicated(IERC20 _lpToken) {
require(!poolExistence[_lpToken], "Add: pool already exists!");
_;
}
modifier onlyValidPool(uint256 _pid) {
require(_pid < poolLength(), "Invalid pool ID");
_;
}
constructor(address initialOwner, FIVE _five, uint256 _startBlockTime, uint256 initialK) Ownable(initialOwner) {
five = _five;
startBlockTime = _startBlockTime;
k = initialK; // Set the initial value for k
// Staking pool
poolInfo.push(
PoolInfo({ lpToken: _five, allocPoint: 1000, lastRewardBlockTime: startBlockTime, accFivePerShare: 0 })
);
poolExistence[_five] = true; // Mark staking pool as existing.
totalAllocPoint = 1000;
}
/// @notice Decrease the maximum supply of the FIVE token.
/// @param newMaxSupply The new maximum supply, which must be less than the current max supply.
function decreaseFiveMaxSupply(uint256 newMaxSupply) external onlyOwner {
// Update all pools with the current max supply before changing it
massUpdatePools();
// Get the current maximum supply and total supply from the FIVE token contract.
uint256 currentMaxSupply = five.maxSupply();
uint256 currentTotalSupply = five.totalSupply();
require(newMaxSupply < currentMaxSupply, "New max supply must be less than the current max supply");
require(newMaxSupply >= currentTotalSupply, "New max supply must not be less than the current total supply");
// Call the decreaseMaxSupply function in the FIVE token contract.
five.decreaseMaxSupply(newMaxSupply);
}
// Set the emission rate (0 to MAX_EMISSION). Only owner can call this function.
function setEmission(uint256 _emission) external onlyOwner {
require(_emission <= MAX_EMISSION, "setEmission: exceeds max limit");
// Update all pools with the current emission rate before changing it
massUpdatePools();
emission = _emission;
emit EmissionUpdated(_emission);
}
// Set the staking percentage (0 to MAX_STAKING_PERCENTAGE). Only owner can call this function.
function setStakingPercentage(uint256 _percentage) external onlyOwner {
require(_percentage <= MAX_STAKING_PERCENTAGE, "setStakingPercentage: exceeds max limit");
// Update all pools with the current staking percentage before changing it
massUpdatePools();
stakingPercentage = _percentage;
emit StakingPercentageUpdated(_percentage);
updateStakingPool();
}
function updateK(uint256 newK) external onlyOwner {
require(newK > 0 && newK <= 6 * 1e18, "updateK: k must be between 0 and 6 (scaled by 1e18)");
// Update all pools to ensure rewards are calculated with the old k
massUpdatePools();
emit KUpdated(k, newK);
k = newK;
}
// Add a new LP to the pool. Can only be called by the owner.
function add(uint256 _allocPoint, IERC20 _lpToken, bool _withUpdate) public onlyOwner nonDuplicated(_lpToken) {
if (_withUpdate) {
massUpdatePools();
}
uint256 lastRewardBlockTime = block.timestamp > startBlockTime ? block.timestamp : startBlockTime;
totalAllocPoint += _allocPoint;
poolInfo.push(
PoolInfo({
lpToken: _lpToken,
allocPoint: _allocPoint,
lastRewardBlockTime: lastRewardBlockTime,
accFivePerShare: 0
})
);
poolExistence[_lpToken] = true;
updateStakingPool();
emit Add(msg.sender, _lpToken, _allocPoint);
}
function set(uint256 _pid, uint256 _allocPoint, bool _withUpdate) public onlyOwner {
require(_pid != 0, "You can't set allocPoint for staking pool.");
if (_withUpdate) {
massUpdatePools();
}
if (poolInfo[_pid].allocPoint != _allocPoint) {
uint256 prevAllocPoint = poolInfo[_pid].allocPoint;
poolInfo[_pid].allocPoint = _allocPoint;
totalAllocPoint = totalAllocPoint - prevAllocPoint + _allocPoint;
updateStakingPool();
emit Set(msg.sender, _pid, _allocPoint);
}
}
function updateStakingPool() internal {
uint256 length = poolLength();
uint256 points = 0;
for (uint256 pid = 1; pid < length; ++pid) {
points += poolInfo[pid].allocPoint;
}
if (points != 0) {
uint256 numerator = points * stakingPercentage * 1e12;
uint256 denominator = 100 - stakingPercentage;
uint256 stakingAlloc = numerator / denominator / 1e12;
totalAllocPoint = totalAllocPoint - poolInfo[0].allocPoint + stakingAlloc;
poolInfo[0].allocPoint = stakingAlloc;
}
}
function fiveCanMint(uint256 _amount) internal view returns (uint256 fiveReward) {
uint256 canMint = five.maxSupply() - five.totalSupply();
if (canMint < _amount) {
fiveReward = canMint;
} else {
fiveReward = _amount;
}
}
function pendingFive(uint256 _pid, address _user) external view onlyValidPool(_pid) returns (uint256) {
PoolInfo storage pool = poolInfo[_pid];
UserInfo storage user = userInfo[_pid][_user];
uint256 accFivePerShare = pool.accFivePerShare;
uint256 supply = _pid > 0 ? pool.lpToken.balanceOf(address(this)) : totalLockedAmount;
if (block.timestamp > pool.lastRewardBlockTime && supply != 0) {
uint256 rewardAmount = (emission * pool.allocPoint) / totalAllocPoint;
uint256 fiveReward = fiveCanMint(rewardAmount);
accFivePerShare += (fiveReward * 1e12) / supply;
}
return (user.amount * accFivePerShare) / 1e12 - user.rewardDebt;
}
function decayedPendingFive(address _user) external view returns (uint256) {
PoolInfo storage pool = poolInfo[0];
UserInfo storage user = userInfo[0][_user];
uint256 accFivePerShare = pool.accFivePerShare;
uint256 supply = totalLockedAmount;
if (block.timestamp > pool.lastRewardBlockTime && supply != 0) {
uint256 rewardAmount = (emission * pool.allocPoint) / totalAllocPoint;
uint256 fiveReward = fiveCanMint(rewardAmount);
accFivePerShare += (fiveReward * 1e12) / supply;
}
return (getVeFIVE(_user) * accFivePerShare) / 1e12 - user.rewardDebt;
}
function massUpdatePools() public {
uint256 length = poolLength();
for (uint256 pid = 0; pid < length; ++pid) {
updatePool(pid);
}
}
function updatePool(uint256 _pid) public onlyValidPool(_pid) {
PoolInfo storage pool = poolInfo[_pid];
if (block.timestamp <= pool.lastRewardBlockTime) {
return;
}
uint256 supply = _pid > 0 ? pool.lpToken.balanceOf(address(this)) : totalLockedAmount;
if (supply == 0) {
pool.lastRewardBlockTime = block.timestamp;
return;
}
uint256 rewardAmount = (emission * pool.allocPoint) / totalAllocPoint;
uint256 fiveReward = fiveCanMint(rewardAmount);
if (fiveReward > 0) {
five.mint(address(this), fiveReward);
}
pool.accFivePerShare += (fiveReward * 1e12) / supply;
pool.lastRewardBlockTime = block.timestamp;
}
function deposit(uint256 _pid, uint256 _amount) public nonReentrant onlyValidPool(_pid) {
require(_pid != 0, "Deposit FIVE by staking");
PoolInfo storage pool = poolInfo[_pid];
UserInfo storage user = userInfo[_pid][msg.sender];
updatePool(_pid);
if (user.amount > 0) {
uint256 pending = (user.amount * pool.accFivePerShare) / 1e12 - user.rewardDebt;
if (pending > 0) {
safeFiveTransfer(msg.sender, pending);
}
}
if (_amount > 0) {
pool.lpToken.safeTransferFrom(address(msg.sender), address(this), _amount);
user.amount += _amount;
}
user.rewardDebt = (user.amount * pool.accFivePerShare) / 1e12;
emit Deposit(msg.sender, _pid, _amount);
}
function withdraw(uint256 _pid, uint256 _amount) public nonReentrant onlyValidPool(_pid) {
require(_pid != 0, "Withdraw FIVE by unstaking");
PoolInfo storage pool = poolInfo[_pid];
UserInfo storage user = userInfo[_pid][msg.sender];
require(user.amount >= _amount, "Withdraw failed: Invalid operation");
updatePool(_pid);
uint256 pending = (user.amount * pool.accFivePerShare) / 1e12 - user.rewardDebt;
if (pending > 0) {
safeFiveTransfer(msg.sender, pending);
}
if (_amount > 0) {
user.amount -= _amount;
pool.lpToken.safeTransfer(address(msg.sender), _amount);
}
user.rewardDebt = (user.amount * pool.accFivePerShare) / 1e12;
emit Withdraw(msg.sender, _pid, _amount);
}
// Stake and lock FIVE tokens in PID[0]
function enterStaking(uint256 _amount, uint256 _lockDuration) public nonReentrant {
PoolInfo storage pool = poolInfo[0];
UserInfo storage user = userInfo[0][msg.sender];
LockInfo storage lock = lockInfo[msg.sender];
require(
_lockDuration >= MIN_LOCK_TIME && _lockDuration <= MAX_LOCK_TIME,
"Stake failed: Invalid Lock Duration"
);
updatePool(0);
if (user.amount > 0 && block.timestamp <= lock.unlockTime) {
uint maxPending = (user.amount * pool.accFivePerShare) / 1e12 - user.rewardDebt;
uint256 pending = (getVeFIVE(msg.sender) * pool.accFivePerShare) / 1e12 - user.rewardDebt;
if (pending > 0) {
safeFiveTransfer(msg.sender, pending);
}
if (maxPending > pending) {
five.burn(maxPending - pending);
}
}
if (_amount > 0) {
five.transferFrom(address(msg.sender), address(this), _amount);
user.amount += _amount;
lock.lockAmount += _amount;
// Update unlockTime if the new unlock time is greater
uint256 newUnlockTime = block.timestamp + _lockDuration;
if (newUnlockTime > lock.unlockTime) {
lock.unlockTime = newUnlockTime;
}
// Update total locked amount
totalLockedAmount += _amount;
// Increment the user count if this is the first time locking
if (lock.lockAmount == _amount) {
totalLockedUsers++;
}
}
user.rewardDebt = (user.amount * pool.accFivePerShare) / 1e12;
emit EnterStaking(msg.sender, _amount, _lockDuration);
}
// Unstake FIVE tokens from PID[0]
function leaveStaking() public nonReentrant {
PoolInfo storage pool = poolInfo[0];
UserInfo storage user = userInfo[0][msg.sender];
LockInfo storage lock = lockInfo[msg.sender];
require(user.amount > 0 && lock.lockAmount > 0, "Unstake failed: Invalid operation");
updatePool(0);
if (block.timestamp <= lock.unlockTime) {
uint maxPending = (user.amount * pool.accFivePerShare) / 1e12 - user.rewardDebt;
uint256 pending = (getVeFIVE(msg.sender) * pool.accFivePerShare) / 1e12 - user.rewardDebt;
if (pending > 0) {
safeFiveTransfer(msg.sender, pending);
}
if (maxPending > pending) {
five.burn(maxPending - pending);
}
} else {
uint256 unclaimedRewards = (user.amount * pool.accFivePerShare) / 1e12 - user.rewardDebt;
if (unclaimedRewards > 0) {
five.burn(unclaimedRewards);
}
uint256 amountToTransfer = user.amount;
user.amount = 0;
lock.lockAmount = 0; // Reset lockAmount to 0
lock.unlockTime = 0; // Reset unlockTime
// Decrease total locked amount
totalLockedAmount -= amountToTransfer;
// Decrease the user count if the user has no locked tokens left
totalLockedUsers--;
safeFiveTransfer(msg.sender, amountToTransfer);
emit LeaveStaking(msg.sender, amountToTransfer);
}
user.rewardDebt = (user.amount * pool.accFivePerShare) / 1e12;
}
function extendLockTime(uint256 _extraLockDuration) public nonReentrant {
LockInfo storage lock = lockInfo[msg.sender];
// Ensure that the current lock exists and is not expired
require(lock.lockAmount > 0, "No active lock to extend");
// Ensure the new unlock time does not exceed the maximum lock time
uint256 newUnlockTime = lock.unlockTime + _extraLockDuration;
require(newUnlockTime <= block.timestamp + MAX_LOCK_TIME, "Exceeds maximum lock duration");
// Ensure the new unlock time is not lower than current time + minimum lock time
require(newUnlockTime >= block.timestamp + MIN_LOCK_TIME, "Unlock time too short");
// Extend the unlock time
lock.unlockTime = newUnlockTime;
emit LockTimeExtended(msg.sender, _extraLockDuration, lock.unlockTime);
}
function emergencyWithdraw(uint256 _pid) public nonReentrant onlyValidPool(_pid) {
require(_pid != 0, "Unavailable for staking pool");
PoolInfo storage pool = poolInfo[_pid];
UserInfo storage user = userInfo[_pid][msg.sender];
require(user.amount > 0, "No tokens to withdraw");
uint256 amount = user.amount;
user.amount = 0;
user.rewardDebt = 0;
pool.lpToken.safeTransfer(msg.sender, amount);
emit EmergencyWithdraw(msg.sender, _pid, amount);
}
/**
* @notice Calculate the veFIVE balance of a user.
* @param _user The address of the user.
* @return The veFIVE balance of the user based on locked amount and remaining lock time.
*/
function getVeFIVE(address _user) public view returns (uint256) {
LockInfo storage lock = lockInfo[_user];
// Return 0 if the lock has expired or if the user has no locked tokens
if (block.timestamp > lock.unlockTime || lock.lockAmount == 0) {
return 0;
}
uint256 remainingTime = lock.unlockTime - block.timestamp;
uint256 maxVeFIVE = lock.lockAmount; // Maximum veFIVE is the locked amount
// Normalize remainingTime to [0, 1]
uint256 normalizedTime = (remainingTime * 1e18) / MAX_LOCK_TIME;
// Calculate k * normalizedTime
uint256 scaledX = (k * normalizedTime) / 1e18;
// Convert scaledX to ABDK format
bytes16 xQuad = ABDKMathQuad.fromUInt(scaledX);
// Calculate exp(-x) using ABDKMathQuad
bytes16 expValueQuad = ABDKMathQuad.exp(ABDKMathQuad.neg(xQuad));
// Convert back to uint256
uint256 expValue = ABDKMathQuad.toUInt(expValueQuad);
// Calculate normalization factor (1 - e^(-k))
bytes16 kQuad = ABDKMathQuad.fromUInt(k);
bytes16 normalizationFactorQuad = ABDKMathQuad.sub(
ABDKMathQuad.fromUInt(1e18),
ABDKMathQuad.exp(ABDKMathQuad.neg(kQuad))
);
uint256 normalizationFactor = ABDKMathQuad.toUInt(normalizationFactorQuad);
// Calculate veFIVE
uint256 veFIVE = (maxVeFIVE * (1e18 - expValue)) / normalizationFactor;
return veFIVE;
}
function poolLength() public view returns (uint256) {
return poolInfo.length;
}
function safeFiveTransfer(address _to, uint256 _amount) internal {
uint256 fiveBalance = five.balanceOf(address(this));
uint256 transferAmount = _amount > fiveBalance ? fiveBalance : _amount;
// Perform the transfer before updating any state
five.transfer(_to, transferAmount);
}
}