ERC-20
Overview
Max Total Supply
82,410,002.710942640651693251 veMAV
Holders
713
Market
Onchain Market Cap
$0.00
Circulating Supply Market Cap
-
Other Info
Token Contract (WITH 18 Decimals)
Balance
282.555777982768707456 veMAVValue
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# | Exchange | Pair | Price | 24H Volume | % Volume |
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Contract Name:
VotingEscrow
Compiler Version
v0.8.19+commit.7dd6d404
Optimization Enabled:
Yes with 10000 runs
Other Settings:
default evmVersion
Contract Source Code (Solidity Standard Json-Input format)
// SPDX-License-Identifier: MIT pragma solidity ^0.8.0; import {ReentrancyGuard} from "@openzeppelin/contracts/security/ReentrancyGuard.sol"; import {ERC20Votes} from "@openzeppelin/contracts/token/ERC20/extensions/ERC20Votes.sol"; import {ERC20Permit} from "@openzeppelin/contracts/token/ERC20/extensions/draft-ERC20Permit.sol"; import {SafeERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol"; import {SafeCast} from "@openzeppelin/contracts/utils/math/SafeCast.sol"; import {IERC20, ERC20} from "@openzeppelin/contracts/token/ERC20/ERC20.sol"; import {Math} from "@openzeppelin/contracts/utils/math/Math.sol"; import {PRBMathUD60x18} from "@prb/math/contracts/PRBMathUD60x18.sol"; /// @title Staking (modified from Origin Staking for MAV) /// @author Origin Staking author: Daniel Von Fange /// @notice Provides staking, vote power history, vote delegation. /// /// The balance received for staking (and thus the voting power) goes up /// exponentially by the end of the staked period. contract VotingEscrow is ERC20Votes, ReentrancyGuard { using SafeERC20 for IERC20; // 1. Core Storage uint256 public immutable epoch; // timestamp uint256 public constant minStakeDuration = 1 weeks; // in seconds uint256 public constant maxStakeDuration = 4 * (365 days); // in seconds // 2. Staking and Lockup Storage uint256 public constant YEAR_BASE = 1.5e18; struct Lockup { uint128 amount; uint128 end; uint256 points; } mapping(address => Lockup[]) public lockups; IERC20 public immutable mav; // Must not allow reentrancy // Events event Stake(address indexed user, uint256 lockupId, uint256 amount, uint256 end, uint256 points); event Unstake(address indexed user, uint256 lockupId, uint256 amount, uint256 end, uint256 points); // 1. Core Functions constructor(IERC20 mav_) ERC20("Voting Escrow MAV", "veMAV") ERC20Permit("veMAV") { mav = mav_; epoch = block.timestamp; } function transfer(address, uint256) public pure override returns (bool) { revert("Staking: Transfers disabled"); } function transferFrom(address, address, uint256) public pure override returns (bool) { revert("Staking: Transfers disabled"); } // 2. Staking and Lockup Functions /// @notice Count of number of lockups for a staker /// @param staker address of staker function lockupCount(address staker) external view returns (uint256 count) { return lockups[staker].length; } /// @notice Stake mav to an address that may not be the same as the /// sender of the funds. This can be used to give staked funds to someone /// else. /// /// If staking before the start of staking (epoch), then the lockup start /// and end dates are shifted forward so that the lockup starts at the /// epoch. /// /// @param amount mav to lockup in the stake /// @param duration in seconds for the stake /// @param to address to receive ownership of the stake function stake(uint256 amount, uint256 duration, address to) external { _stake(amount, duration, to, false); } /// @notice Stake mav /// /// If staking before the start of staking (epoch), then the lockup start /// and end dates are shifted forward so that the lockup starts at the /// epoch. /// /// @notice Stake mav for myself. /// @param amount mav to lockup in the stake /// @param duration in seconds for the stake /// @param doDelegation is bool; if true, delegate to sender function stake(uint256 amount, uint256 duration, bool doDelegation) external { _stake(amount, duration, msg.sender, doDelegation); } /// @dev Internal method used for public staking /// @param amount mav to lockup in the stake /// @param duration in seconds for the stake /// @param to address to receive ownership of the stake /// @param doDelegation is bool; if true and to is sender, delegate to sender function _stake(uint256 amount, uint256 duration, address to, bool doDelegation) internal nonReentrant { require(to != address(0), "Staking: To the zero address"); require(amount > 0, "Staking: Not enough"); // duration checked inside previewPoints (uint256 points, uint256 end) = previewPoints(amount, duration); lockups[to].push(Lockup({amount: SafeCast.toUint128(amount), end: SafeCast.toUint128(end), points: points})); _mint(to, points); if (to == msg.sender && doDelegation) _delegate(to, to); mav.safeTransferFrom(msg.sender, address(this), amount); // Important that it's sender emit Stake(to, lockups[to].length - 1, amount, end, points); } /// @notice Collect staked mav for a lockup. /// @param lockupId the id of the lockup to unstake function unstake(uint256 lockupId) external nonReentrant { Lockup memory lockup = lockups[msg.sender][lockupId]; uint256 amount = lockup.amount; uint256 end = lockup.end; uint256 points = lockup.points; require(block.timestamp >= end, "Staking: End of lockup not reached"); require(end != 0, "Staking: Already unstaked this lockup"); delete lockups[msg.sender][lockupId]; // Keeps empty in array, so indexes are stable _burn(msg.sender, points); mav.safeTransfer(msg.sender, amount); emit Unstake(msg.sender, lockupId, amount, end, points); } /// @notice Extend a stake lockup for additional points. /// /// The stake end time is computed from the current time + duration, just /// like it is for new stakes. So a new stake for seven days duration and /// an old stake extended with a seven days duration would have the same /// end. /// /// If an extend is made before the start of staking, the start time for /// the new stake is shifted forwards to the start of staking, which also /// shifts forward the end date. /// /// @param lockupId the id of the old lockup to extend /// @param duration number of seconds from now to stake for /// @param amount of additional mav to lockup. amount can be zero /// @param doDelegation is bool; if true, delegate to sender function extend(uint256 lockupId, uint256 duration, uint256 amount, bool doDelegation) external nonReentrant { // duration checked inside previewPoints Lockup memory lockup = lockups[msg.sender][lockupId]; uint256 oldAmount = lockup.amount; uint256 newAmount = oldAmount + amount; uint256 oldEnd = lockup.end; uint256 oldPoints = lockup.points; (uint256 newPoints, uint256 newEnd) = previewPoints(newAmount, duration); require(newEnd > oldEnd, "Staking: New lockup must be longer"); lockup.end = SafeCast.toUint128(newEnd); lockup.points = newPoints; if (amount != 0) lockup.amount = SafeCast.toUint128(newAmount); lockups[msg.sender][lockupId] = lockup; _mint(msg.sender, newPoints - oldPoints); if (doDelegation) _delegate(msg.sender, msg.sender); if (amount != 0) mav.safeTransferFrom(msg.sender, address(this), amount); // Important that it's sender emit Unstake(msg.sender, lockupId, oldAmount, oldEnd, oldPoints); emit Stake(msg.sender, lockupId, newAmount, newEnd, newPoints); } /// @notice Preview the number of points that would be returned for the /// given amount and duration. /// /// @param amount mav to be staked /// @param duration number of seconds to stake for /// @return points staking points that would be returned /// @return end staking period end date function previewPoints(uint256 amount, uint256 duration) public view returns (uint256, uint256) { require(duration >= minStakeDuration, "Staking: Too short"); require(duration <= maxStakeDuration, "Staking: Too long"); uint256 start = block.timestamp > epoch ? block.timestamp : epoch; uint256 end = start + duration; uint256 endYearpoc = Math.mulDiv((end - epoch), 1e18, 365 days); uint256 multiplier = PRBMathUD60x18.pow(YEAR_BASE, endYearpoc); return (Math.mulDiv(amount, multiplier, 1e18), end); } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (governance/utils/IVotes.sol) pragma solidity ^0.8.0; /** * @dev Common interface for {ERC20Votes}, {ERC721Votes}, and other {Votes}-enabled contracts. * * _Available since v4.5._ */ interface IVotes { /** * @dev Emitted when an account changes their delegate. */ event DelegateChanged(address indexed delegator, address indexed fromDelegate, address indexed toDelegate); /** * @dev Emitted when a token transfer or delegate change results in changes to a delegate's number of votes. */ event DelegateVotesChanged(address indexed delegate, uint256 previousBalance, uint256 newBalance); /** * @dev Returns the current amount of votes that `account` has. */ function getVotes(address account) external view returns (uint256); /** * @dev Returns the amount of votes that `account` had at a specific moment in the past. If the `clock()` is * configured to use block numbers, this will return the value at the end of the corresponding block. */ function getPastVotes(address account, uint256 timepoint) external view returns (uint256); /** * @dev Returns the total supply of votes available at a specific moment in the past. If the `clock()` is * configured to use block numbers, this will return the value at the end of the corresponding block. * * NOTE: This value is the sum of all available votes, which is not necessarily the sum of all delegated votes. * Votes that have not been delegated are still part of total supply, even though they would not participate in a * vote. */ function getPastTotalSupply(uint256 timepoint) external view returns (uint256); /** * @dev Returns the delegate that `account` has chosen. */ function delegates(address account) external view returns (address); /** * @dev Delegates votes from the sender to `delegatee`. */ function delegate(address delegatee) external; /** * @dev Delegates votes from signer to `delegatee`. */ function delegateBySig(address delegatee, uint256 nonce, uint256 expiry, uint8 v, bytes32 r, bytes32 s) external; }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC5267.sol) pragma solidity ^0.8.0; 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 v4.9.0) (interfaces/IERC5805.sol) pragma solidity ^0.8.0; import "../governance/utils/IVotes.sol"; import "./IERC6372.sol"; interface IERC5805 is IERC6372, IVotes {}
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC6372.sol) pragma solidity ^0.8.0; interface IERC6372 { /** * @dev Clock used for flagging checkpoints. Can be overridden to implement timestamp based checkpoints (and voting). */ function clock() external view returns (uint48); /** * @dev Description of the clock */ // solhint-disable-next-line func-name-mixedcase function CLOCK_MODE() external view returns (string memory); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (security/ReentrancyGuard.sol) pragma solidity ^0.8.0; /** * @dev Contract module that helps prevent reentrant calls to a function. * * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier * available, which can be applied to functions to make sure there are no nested * (reentrant) calls to them. * * Note that because there is a single `nonReentrant` guard, functions marked as * `nonReentrant` may not call one another. This can be worked around by making * those functions `private`, and then adding `external` `nonReentrant` entry * points to them. * * TIP: If you would like to learn more about reentrancy and alternative ways * to protect against it, check out our blog post * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul]. */ abstract contract ReentrancyGuard { // Booleans are more expensive than uint256 or any type that takes up a full // word because each write operation emits an extra SLOAD to first read the // slot's contents, replace the bits taken up by the boolean, and then write // back. This is the compiler's defense against contract upgrades and // pointer aliasing, and it cannot be disabled. // The values being non-zero value makes deployment a bit more expensive, // but in exchange the refund on every call to nonReentrant will be lower in // amount. Since refunds are capped to a percentage of the total // transaction's gas, it is best to keep them low in cases like this one, to // increase the likelihood of the full refund coming into effect. uint256 private constant _NOT_ENTERED = 1; uint256 private constant _ENTERED = 2; uint256 private _status; constructor() { _status = _NOT_ENTERED; } /** * @dev Prevents a contract from calling itself, directly or indirectly. * Calling a `nonReentrant` function from another `nonReentrant` * function is not supported. It is possible to prevent this from happening * by making the `nonReentrant` function external, and making it call a * `private` function that does the actual work. */ modifier nonReentrant() { _nonReentrantBefore(); _; _nonReentrantAfter(); } function _nonReentrantBefore() private { // On the first call to nonReentrant, _status will be _NOT_ENTERED require(_status != _ENTERED, "ReentrancyGuard: reentrant call"); // Any calls to nonReentrant after this point will fail _status = _ENTERED; } function _nonReentrantAfter() private { // By storing the original value once again, a refund is triggered (see // https://eips.ethereum.org/EIPS/eip-2200) _status = _NOT_ENTERED; } /** * @dev Returns true if the reentrancy guard is currently set to "entered", which indicates there is a * `nonReentrant` function in the call stack. */ function _reentrancyGuardEntered() internal view returns (bool) { return _status == _ENTERED; } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/ERC20.sol) pragma solidity ^0.8.0; import "./IERC20.sol"; import "./extensions/IERC20Metadata.sol"; import "../../utils/Context.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}. * For a generic mechanism see {ERC20PresetMinterPauser}. * * 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 ERC20 * applications. * * Additionally, an {Approval} event is emitted on calls to {transferFrom}. * This allows applications to reconstruct the allowance for all accounts just * by listening to said events. Other implementations of the EIP may not emit * these events, as it isn't required by the specification. * * Finally, the non-standard {decreaseAllowance} and {increaseAllowance} * functions have been added to mitigate the well-known issues around setting * allowances. See {IERC20-approve}. */ contract ERC20 is Context, IERC20, IERC20Metadata { mapping(address => uint256) private _balances; mapping(address => mapping(address => uint256)) private _allowances; uint256 private _totalSupply; string private _name; string private _symbol; /** * @dev Sets the values for {name} and {symbol}. * * 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 override returns (string memory) { return _name; } /** * @dev Returns the symbol of the token, usually a shorter version of the * name. */ function symbol() public view virtual override returns (string memory) { return _symbol; } /** * @dev Returns the number of decimals used to get its user representation. * For example, if `decimals` equals `2`, a balance of `505` tokens should * be displayed to a user as `5.05` (`505 / 10 ** 2`). * * Tokens usually opt for a value of 18, imitating the relationship between * Ether and Wei. This is the 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 override returns (uint8) { return 18; } /** * @dev See {IERC20-totalSupply}. */ function totalSupply() public view virtual override returns (uint256) { return _totalSupply; } /** * @dev See {IERC20-balanceOf}. */ function balanceOf(address account) public view virtual override returns (uint256) { return _balances[account]; } /** * @dev See {IERC20-transfer}. * * Requirements: * * - `to` cannot be the zero address. * - the caller must have a balance of at least `amount`. */ function transfer(address to, uint256 amount) public virtual override returns (bool) { address owner = _msgSender(); _transfer(owner, to, amount); return true; } /** * @dev See {IERC20-allowance}. */ function allowance(address owner, address spender) public view virtual override returns (uint256) { return _allowances[owner][spender]; } /** * @dev See {IERC20-approve}. * * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on * `transferFrom`. This is semantically equivalent to an infinite approval. * * Requirements: * * - `spender` cannot be the zero address. */ function approve(address spender, uint256 amount) public virtual override returns (bool) { address owner = _msgSender(); _approve(owner, spender, amount); return true; } /** * @dev See {IERC20-transferFrom}. * * Emits an {Approval} event indicating the updated allowance. This is not * required by the EIP. See the note at the beginning of {ERC20}. * * NOTE: Does not update the allowance if the current allowance * is the maximum `uint256`. * * Requirements: * * - `from` and `to` cannot be the zero address. * - `from` must have a balance of at least `amount`. * - the caller must have allowance for ``from``'s tokens of at least * `amount`. */ function transferFrom(address from, address to, uint256 amount) public virtual override returns (bool) { address spender = _msgSender(); _spendAllowance(from, spender, amount); _transfer(from, to, amount); return true; } /** * @dev Atomically increases the allowance granted to `spender` by the caller. * * This is an alternative to {approve} that can be used as a mitigation for * problems described in {IERC20-approve}. * * Emits an {Approval} event indicating the updated allowance. * * Requirements: * * - `spender` cannot be the zero address. */ function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) { address owner = _msgSender(); _approve(owner, spender, allowance(owner, spender) + addedValue); return true; } /** * @dev Atomically decreases the allowance granted to `spender` by the caller. * * This is an alternative to {approve} that can be used as a mitigation for * problems described in {IERC20-approve}. * * Emits an {Approval} event indicating the updated allowance. * * Requirements: * * - `spender` cannot be the zero address. * - `spender` must have allowance for the caller of at least * `subtractedValue`. */ function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) { address owner = _msgSender(); uint256 currentAllowance = allowance(owner, spender); require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero"); unchecked { _approve(owner, spender, currentAllowance - subtractedValue); } return true; } /** * @dev Moves `amount` of tokens from `from` to `to`. * * This internal function is equivalent to {transfer}, and can be used to * e.g. implement automatic token fees, slashing mechanisms, etc. * * Emits a {Transfer} event. * * Requirements: * * - `from` cannot be the zero address. * - `to` cannot be the zero address. * - `from` must have a balance of at least `amount`. */ function _transfer(address from, address to, uint256 amount) internal virtual { require(from != address(0), "ERC20: transfer from the zero address"); require(to != address(0), "ERC20: transfer to the zero address"); _beforeTokenTransfer(from, to, amount); uint256 fromBalance = _balances[from]; require(fromBalance >= amount, "ERC20: transfer amount exceeds balance"); unchecked { _balances[from] = fromBalance - amount; // Overflow not possible: the sum of all balances is capped by totalSupply, and the sum is preserved by // decrementing then incrementing. _balances[to] += amount; } emit Transfer(from, to, amount); _afterTokenTransfer(from, to, amount); } /** @dev Creates `amount` tokens and assigns them to `account`, increasing * the total supply. * * Emits a {Transfer} event with `from` set to the zero address. * * Requirements: * * - `account` cannot be the zero address. */ function _mint(address account, uint256 amount) internal virtual { require(account != address(0), "ERC20: mint to the zero address"); _beforeTokenTransfer(address(0), account, amount); _totalSupply += amount; unchecked { // Overflow not possible: balance + amount is at most totalSupply + amount, which is checked above. _balances[account] += amount; } emit Transfer(address(0), account, amount); _afterTokenTransfer(address(0), account, amount); } /** * @dev Destroys `amount` tokens from `account`, reducing the * total supply. * * Emits a {Transfer} event with `to` set to the zero address. * * Requirements: * * - `account` cannot be the zero address. * - `account` must have at least `amount` tokens. */ function _burn(address account, uint256 amount) internal virtual { require(account != address(0), "ERC20: burn from the zero address"); _beforeTokenTransfer(account, address(0), amount); uint256 accountBalance = _balances[account]; require(accountBalance >= amount, "ERC20: burn amount exceeds balance"); unchecked { _balances[account] = accountBalance - amount; // Overflow not possible: amount <= accountBalance <= totalSupply. _totalSupply -= amount; } emit Transfer(account, address(0), amount); _afterTokenTransfer(account, address(0), amount); } /** * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens. * * This internal function is equivalent to `approve`, and can be used to * e.g. set automatic allowances for certain subsystems, etc. * * Emits an {Approval} event. * * Requirements: * * - `owner` cannot be the zero address. * - `spender` cannot be the zero address. */ function _approve(address owner, address spender, uint256 amount) internal virtual { require(owner != address(0), "ERC20: approve from the zero address"); require(spender != address(0), "ERC20: approve to the zero address"); _allowances[owner][spender] = amount; emit Approval(owner, spender, amount); } /** * @dev Updates `owner` s allowance for `spender` based on spent `amount`. * * Does not update the allowance amount in case of infinite allowance. * Revert if not enough allowance is available. * * Might emit an {Approval} event. */ function _spendAllowance(address owner, address spender, uint256 amount) internal virtual { uint256 currentAllowance = allowance(owner, spender); if (currentAllowance != type(uint256).max) { require(currentAllowance >= amount, "ERC20: insufficient allowance"); unchecked { _approve(owner, spender, currentAllowance - amount); } } } /** * @dev Hook that is called before any transfer of tokens. This includes * minting and burning. * * Calling conditions: * * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens * will be transferred to `to`. * - when `from` is zero, `amount` tokens will be minted for `to`. * - when `to` is zero, `amount` of ``from``'s tokens will be burned. * - `from` and `to` are never both zero. * * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks]. */ function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual {} /** * @dev Hook that is called after any transfer of tokens. This includes * minting and burning. * * Calling conditions: * * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens * has been transferred to `to`. * - when `from` is zero, `amount` tokens have been minted for `to`. * - when `to` is zero, `amount` of ``from``'s tokens have been burned. * - `from` and `to` are never both zero. * * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks]. */ function _afterTokenTransfer(address from, address to, uint256 amount) internal virtual {} }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/draft-ERC20Permit.sol) pragma solidity ^0.8.0; // EIP-2612 is Final as of 2022-11-01. This file is deprecated. import "./ERC20Permit.sol";
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/ERC20Permit.sol) pragma solidity ^0.8.0; import "./IERC20Permit.sol"; import "../ERC20.sol"; import "../../../utils/cryptography/ECDSA.sol"; import "../../../utils/cryptography/EIP712.sol"; import "../../../utils/Counters.sol"; /** * @dev Implementation of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612]. * * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by * presenting a message signed by the account. By not relying on `{IERC20-approve}`, the token holder account doesn't * need to send a transaction, and thus is not required to hold Ether at all. * * _Available since v3.4._ */ abstract contract ERC20Permit is ERC20, IERC20Permit, EIP712 { using Counters for Counters.Counter; mapping(address => Counters.Counter) private _nonces; // solhint-disable-next-line var-name-mixedcase bytes32 private constant _PERMIT_TYPEHASH = keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)"); /** * @dev In previous versions `_PERMIT_TYPEHASH` was declared as `immutable`. * However, to ensure consistency with the upgradeable transpiler, we will continue * to reserve a slot. * @custom:oz-renamed-from _PERMIT_TYPEHASH */ // solhint-disable-next-line var-name-mixedcase bytes32 private _PERMIT_TYPEHASH_DEPRECATED_SLOT; /** * @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 ERC20 token name. */ constructor(string memory name) EIP712(name, "1") {} /** * @dev See {IERC20Permit-permit}. */ function permit( address owner, address spender, uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s ) public virtual override { require(block.timestamp <= deadline, "ERC20Permit: expired 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); require(signer == owner, "ERC20Permit: invalid signature"); _approve(owner, spender, value); } /** * @dev See {IERC20Permit-nonces}. */ function nonces(address owner) public view virtual override returns (uint256) { return _nonces[owner].current(); } /** * @dev See {IERC20Permit-DOMAIN_SEPARATOR}. */ // solhint-disable-next-line func-name-mixedcase function DOMAIN_SEPARATOR() external view override returns (bytes32) { return _domainSeparatorV4(); } /** * @dev "Consume a nonce": return the current value and increment. * * _Available since v4.1._ */ function _useNonce(address owner) internal virtual returns (uint256 current) { Counters.Counter storage nonce = _nonces[owner]; current = nonce.current(); nonce.increment(); } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/ERC20Votes.sol) pragma solidity ^0.8.0; import "./ERC20Permit.sol"; import "../../../interfaces/IERC5805.sol"; import "../../../utils/math/Math.sol"; import "../../../utils/math/SafeCast.sol"; import "../../../utils/cryptography/ECDSA.sol"; /** * @dev Extension of ERC20 to support Compound-like voting and delegation. This version is more generic than Compound's, * and supports token supply up to 2^224^ - 1, while COMP is limited to 2^96^ - 1. * * NOTE: If exact COMP compatibility is required, use the {ERC20VotesComp} variant of this module. * * This extension keeps a history (checkpoints) of each account's vote power. Vote power can be delegated either * by calling the {delegate} function directly, or by providing a signature to be used with {delegateBySig}. Voting * power can be queried through the public accessors {getVotes} and {getPastVotes}. * * By default, token balance does not account for voting power. This makes transfers cheaper. The downside is that it * requires users to delegate to themselves in order to activate checkpoints and have their voting power tracked. * * _Available since v4.2._ */ abstract contract ERC20Votes is ERC20Permit, IERC5805 { struct Checkpoint { uint32 fromBlock; uint224 votes; } bytes32 private constant _DELEGATION_TYPEHASH = keccak256("Delegation(address delegatee,uint256 nonce,uint256 expiry)"); mapping(address => address) private _delegates; mapping(address => Checkpoint[]) private _checkpoints; Checkpoint[] private _totalSupplyCheckpoints; /** * @dev Clock used for flagging checkpoints. Can be overridden to implement timestamp based checkpoints (and voting). */ function clock() public view virtual override returns (uint48) { return SafeCast.toUint48(block.number); } /** * @dev Description of the clock */ // solhint-disable-next-line func-name-mixedcase function CLOCK_MODE() public view virtual override returns (string memory) { // Check that the clock was not modified require(clock() == block.number, "ERC20Votes: broken clock mode"); return "mode=blocknumber&from=default"; } /** * @dev Get the `pos`-th checkpoint for `account`. */ function checkpoints(address account, uint32 pos) public view virtual returns (Checkpoint memory) { return _checkpoints[account][pos]; } /** * @dev Get number of checkpoints for `account`. */ function numCheckpoints(address account) public view virtual returns (uint32) { return SafeCast.toUint32(_checkpoints[account].length); } /** * @dev Get the address `account` is currently delegating to. */ function delegates(address account) public view virtual override returns (address) { return _delegates[account]; } /** * @dev Gets the current votes balance for `account` */ function getVotes(address account) public view virtual override returns (uint256) { uint256 pos = _checkpoints[account].length; unchecked { return pos == 0 ? 0 : _checkpoints[account][pos - 1].votes; } } /** * @dev Retrieve the number of votes for `account` at the end of `timepoint`. * * Requirements: * * - `timepoint` must be in the past */ function getPastVotes(address account, uint256 timepoint) public view virtual override returns (uint256) { require(timepoint < clock(), "ERC20Votes: future lookup"); return _checkpointsLookup(_checkpoints[account], timepoint); } /** * @dev Retrieve the `totalSupply` at the end of `timepoint`. Note, this value is the sum of all balances. * It is NOT the sum of all the delegated votes! * * Requirements: * * - `timepoint` must be in the past */ function getPastTotalSupply(uint256 timepoint) public view virtual override returns (uint256) { require(timepoint < clock(), "ERC20Votes: future lookup"); return _checkpointsLookup(_totalSupplyCheckpoints, timepoint); } /** * @dev Lookup a value in a list of (sorted) checkpoints. */ function _checkpointsLookup(Checkpoint[] storage ckpts, uint256 timepoint) private view returns (uint256) { // We run a binary search to look for the last (most recent) checkpoint taken before (or at) `timepoint`. // // Initially we check if the block is recent to narrow the search range. // During the loop, the index of the wanted checkpoint remains in the range [low-1, high). // With each iteration, either `low` or `high` is moved towards the middle of the range to maintain the invariant. // - If the middle checkpoint is after `timepoint`, we look in [low, mid) // - If the middle checkpoint is before or equal to `timepoint`, we look in [mid+1, high) // Once we reach a single value (when low == high), we've found the right checkpoint at the index high-1, if not // out of bounds (in which case we're looking too far in the past and the result is 0). // Note that if the latest checkpoint available is exactly for `timepoint`, we end up with an index that is // past the end of the array, so we technically don't find a checkpoint after `timepoint`, but it works out // the same. uint256 length = ckpts.length; uint256 low = 0; uint256 high = length; if (length > 5) { uint256 mid = length - Math.sqrt(length); if (_unsafeAccess(ckpts, mid).fromBlock > timepoint) { high = mid; } else { low = mid + 1; } } while (low < high) { uint256 mid = Math.average(low, high); if (_unsafeAccess(ckpts, mid).fromBlock > timepoint) { high = mid; } else { low = mid + 1; } } unchecked { return high == 0 ? 0 : _unsafeAccess(ckpts, high - 1).votes; } } /** * @dev Delegate votes from the sender to `delegatee`. */ function delegate(address delegatee) public virtual override { _delegate(_msgSender(), delegatee); } /** * @dev Delegates votes from signer to `delegatee` */ function delegateBySig( address delegatee, uint256 nonce, uint256 expiry, uint8 v, bytes32 r, bytes32 s ) public virtual override { require(block.timestamp <= expiry, "ERC20Votes: signature expired"); address signer = ECDSA.recover( _hashTypedDataV4(keccak256(abi.encode(_DELEGATION_TYPEHASH, delegatee, nonce, expiry))), v, r, s ); require(nonce == _useNonce(signer), "ERC20Votes: invalid nonce"); _delegate(signer, delegatee); } /** * @dev Maximum token supply. Defaults to `type(uint224).max` (2^224^ - 1). */ function _maxSupply() internal view virtual returns (uint224) { return type(uint224).max; } /** * @dev Snapshots the totalSupply after it has been increased. */ function _mint(address account, uint256 amount) internal virtual override { super._mint(account, amount); require(totalSupply() <= _maxSupply(), "ERC20Votes: total supply risks overflowing votes"); _writeCheckpoint(_totalSupplyCheckpoints, _add, amount); } /** * @dev Snapshots the totalSupply after it has been decreased. */ function _burn(address account, uint256 amount) internal virtual override { super._burn(account, amount); _writeCheckpoint(_totalSupplyCheckpoints, _subtract, amount); } /** * @dev Move voting power when tokens are transferred. * * Emits a {IVotes-DelegateVotesChanged} event. */ function _afterTokenTransfer(address from, address to, uint256 amount) internal virtual override { super._afterTokenTransfer(from, to, amount); _moveVotingPower(delegates(from), delegates(to), amount); } /** * @dev Change delegation for `delegator` to `delegatee`. * * Emits events {IVotes-DelegateChanged} and {IVotes-DelegateVotesChanged}. */ function _delegate(address delegator, address delegatee) internal virtual { address currentDelegate = delegates(delegator); uint256 delegatorBalance = balanceOf(delegator); _delegates[delegator] = delegatee; emit DelegateChanged(delegator, currentDelegate, delegatee); _moveVotingPower(currentDelegate, delegatee, delegatorBalance); } function _moveVotingPower(address src, address dst, uint256 amount) private { if (src != dst && amount > 0) { if (src != address(0)) { (uint256 oldWeight, uint256 newWeight) = _writeCheckpoint(_checkpoints[src], _subtract, amount); emit DelegateVotesChanged(src, oldWeight, newWeight); } if (dst != address(0)) { (uint256 oldWeight, uint256 newWeight) = _writeCheckpoint(_checkpoints[dst], _add, amount); emit DelegateVotesChanged(dst, oldWeight, newWeight); } } } function _writeCheckpoint( Checkpoint[] storage ckpts, function(uint256, uint256) view returns (uint256) op, uint256 delta ) private returns (uint256 oldWeight, uint256 newWeight) { uint256 pos = ckpts.length; unchecked { Checkpoint memory oldCkpt = pos == 0 ? Checkpoint(0, 0) : _unsafeAccess(ckpts, pos - 1); oldWeight = oldCkpt.votes; newWeight = op(oldWeight, delta); if (pos > 0 && oldCkpt.fromBlock == clock()) { _unsafeAccess(ckpts, pos - 1).votes = SafeCast.toUint224(newWeight); } else { ckpts.push(Checkpoint({fromBlock: SafeCast.toUint32(clock()), votes: SafeCast.toUint224(newWeight)})); } } } function _add(uint256 a, uint256 b) private pure returns (uint256) { return a + b; } function _subtract(uint256 a, uint256 b) private pure returns (uint256) { return a - b; } /** * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds. */ function _unsafeAccess(Checkpoint[] storage ckpts, uint256 pos) private pure returns (Checkpoint storage result) { assembly { mstore(0, ckpts.slot) result.slot := add(keccak256(0, 0x20), pos) } } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol) pragma solidity ^0.8.0; import "../IERC20.sol"; /** * @dev Interface for the optional metadata functions from the ERC20 standard. * * _Available since v4.1._ */ interface IERC20Metadata is IERC20 { /** * @dev Returns the name of the token. */ function name() external view returns (string memory); /** * @dev Returns the symbol of the token. */ function symbol() external view returns (string memory); /** * @dev Returns the decimals places of the token. */ function decimals() external view returns (uint8); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/IERC20Permit.sol) pragma solidity ^0.8.0; /** * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612]. * * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't * need to send a transaction, and thus is not required to hold Ether at all. */ interface IERC20Permit { /** * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens, * given ``owner``'s signed approval. * * IMPORTANT: The same issues {IERC20-approve} has related to transaction * ordering also apply here. * * Emits an {Approval} event. * * Requirements: * * - `spender` cannot be the zero address. * - `deadline` must be a timestamp in the future. * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner` * over the EIP712-formatted function arguments. * - the signature must use ``owner``'s current nonce (see {nonces}). * * For more information on the signature format, see the * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP * section]. */ function permit( address owner, address spender, uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s ) external; /** * @dev Returns the current nonce for `owner`. This value must be * included whenever a signature is generated for {permit}. * * Every successful call to {permit} increases ``owner``'s nonce by one. This * prevents a signature from being used multiple times. */ function nonces(address owner) external view returns (uint256); /** * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}. */ // solhint-disable-next-line func-name-mixedcase function DOMAIN_SEPARATOR() external view returns (bytes32); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/IERC20.sol) pragma solidity ^0.8.0; /** * @dev Interface of the ERC20 standard as defined in the EIP. */ interface IERC20 { /** * @dev Emitted when `value` tokens are moved from one account (`from`) to * another (`to`). * * Note that `value` may be zero. */ event Transfer(address indexed from, address indexed to, uint256 value); /** * @dev Emitted when the allowance of a `spender` for an `owner` is set by * a call to {approve}. `value` is the new allowance. */ event Approval(address indexed owner, address indexed spender, uint256 value); /** * @dev Returns the amount of tokens in existence. */ function totalSupply() external view returns (uint256); /** * @dev Returns the amount of tokens owned by `account`. */ function balanceOf(address account) external view returns (uint256); /** * @dev Moves `amount` tokens from the caller's account to `to`. * * Returns a boolean value indicating whether the operation succeeded. * * Emits a {Transfer} event. */ function transfer(address to, uint256 amount) external returns (bool); /** * @dev Returns the remaining number of tokens that `spender` will be * allowed to spend on behalf of `owner` through {transferFrom}. This is * zero by default. * * This value changes when {approve} or {transferFrom} are called. */ function allowance(address owner, address spender) external view returns (uint256); /** * @dev Sets `amount` as the allowance of `spender` over the caller's tokens. * * Returns a boolean value indicating whether the operation succeeded. * * IMPORTANT: Beware that changing an allowance with this method brings the risk * that someone may use both the old and the new allowance by unfortunate * transaction ordering. One possible solution to mitigate this race * condition is to first reduce the spender's allowance to 0 and set the * desired value afterwards: * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729 * * Emits an {Approval} event. */ function approve(address spender, uint256 amount) external returns (bool); /** * @dev Moves `amount` tokens from `from` to `to` using the * allowance mechanism. `amount` is then deducted from the caller's * allowance. * * Returns a boolean value indicating whether the operation succeeded. * * Emits a {Transfer} event. */ function transferFrom(address from, address to, uint256 amount) external returns (bool); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/utils/SafeERC20.sol) pragma solidity ^0.8.0; import "../IERC20.sol"; import "../extensions/IERC20Permit.sol"; import "../../../utils/Address.sol"; /** * @title SafeERC20 * @dev Wrappers around ERC20 operations that throw on failure (when the token * contract returns false). Tokens that return no value (and instead revert or * throw on failure) are also supported, non-reverting calls are assumed to be * successful. * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract, * which allows you to call the safe operations as `token.safeTransfer(...)`, etc. */ library SafeERC20 { using Address for address; /** * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value, * non-reverting calls are assumed to be successful. */ function safeTransfer(IERC20 token, address to, uint256 value) internal { _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value)); } /** * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful. */ function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal { _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value)); } /** * @dev Deprecated. This function has issues similar to the ones found in * {IERC20-approve}, and its usage is discouraged. * * Whenever possible, use {safeIncreaseAllowance} and * {safeDecreaseAllowance} instead. */ function safeApprove(IERC20 token, address spender, uint256 value) internal { // safeApprove should only be called when setting an initial allowance, // or when resetting it to zero. To increase and decrease it, use // 'safeIncreaseAllowance' and 'safeDecreaseAllowance' require( (value == 0) || (token.allowance(address(this), spender) == 0), "SafeERC20: approve from non-zero to non-zero allowance" ); _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value)); } /** * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value, * non-reverting calls are assumed to be successful. */ function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal { uint256 oldAllowance = token.allowance(address(this), spender); _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance + value)); } /** * @dev Decrease the calling contract's allowance toward `spender` by `value`. If `token` returns no value, * non-reverting calls are assumed to be successful. */ function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal { unchecked { uint256 oldAllowance = token.allowance(address(this), spender); require(oldAllowance >= value, "SafeERC20: decreased allowance below zero"); _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance - value)); } } /** * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value, * non-reverting calls are assumed to be successful. Compatible with tokens that require the approval to be set to * 0 before setting it to a non-zero value. */ function forceApprove(IERC20 token, address spender, uint256 value) internal { bytes memory approvalCall = abi.encodeWithSelector(token.approve.selector, spender, value); if (!_callOptionalReturnBool(token, approvalCall)) { _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, 0)); _callOptionalReturn(token, approvalCall); } } /** * @dev Use a ERC-2612 signature to set the `owner` approval toward `spender` on `token`. * Revert on invalid signature. */ function safePermit( IERC20Permit token, address owner, address spender, uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s ) internal { uint256 nonceBefore = token.nonces(owner); token.permit(owner, spender, value, deadline, v, r, s); uint256 nonceAfter = token.nonces(owner); require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed"); } /** * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement * on the return value: the return value is optional (but if data is returned, it must not be false). * @param token The token targeted by the call. * @param data The call data (encoded using abi.encode or one of its variants). */ function _callOptionalReturn(IERC20 token, bytes memory data) private { // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that // the target address contains contract code and also asserts for success in the low-level call. bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed"); require(returndata.length == 0 || abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed"); } /** * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement * on the return value: the return value is optional (but if data is returned, it must not be false). * @param token The token targeted by the call. * @param data The call data (encoded using abi.encode or one of its variants). * * This is a variant of {_callOptionalReturn} that silents catches all reverts and returns a bool instead. */ function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) { // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since // we're implementing it ourselves. We cannot use {Address-functionCall} here since this should return false // and not revert is the subcall reverts. (bool success, bytes memory returndata) = address(token).call(data); return success && (returndata.length == 0 || abi.decode(returndata, (bool))) && Address.isContract(address(token)); } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol) pragma solidity ^0.8.1; /** * @dev Collection of functions related to the address type */ library Address { /** * @dev Returns true if `account` is a contract. * * [IMPORTANT] * ==== * It is unsafe to assume that an address for which this function returns * false is an externally-owned account (EOA) and not a contract. * * Among others, `isContract` will return false for the following * types of addresses: * * - an externally-owned account * - a contract in construction * - an address where a contract will be created * - an address where a contract lived, but was destroyed * * Furthermore, `isContract` will also return true if the target contract within * the same transaction is already scheduled for destruction by `SELFDESTRUCT`, * which only has an effect at the end of a transaction. * ==== * * [IMPORTANT] * ==== * You shouldn't rely on `isContract` to protect against flash loan attacks! * * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract * constructor. * ==== */ function isContract(address account) internal view returns (bool) { // This method relies on extcodesize/address.code.length, which returns 0 // for contracts in construction, since the code is only stored at the end // of the constructor execution. return account.code.length > 0; } /** * @dev Replacement for Solidity's `transfer`: sends `amount` wei to * `recipient`, forwarding all available gas and reverting on errors. * * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost * of certain opcodes, possibly making contracts go over the 2300 gas limit * imposed by `transfer`, making them unable to receive funds via * `transfer`. {sendValue} removes this limitation. * * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more]. * * IMPORTANT: because control is transferred to `recipient`, care must be * taken to not create reentrancy vulnerabilities. Consider using * {ReentrancyGuard} or the * https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern]. */ function sendValue(address payable recipient, uint256 amount) internal { require(address(this).balance >= amount, "Address: insufficient balance"); (bool success, ) = recipient.call{value: amount}(""); require(success, "Address: unable to send value, recipient may have reverted"); } /** * @dev Performs a Solidity function call using a low level `call`. A * plain `call` is an unsafe replacement for a function call: use this * function instead. * * If `target` reverts with a revert reason, it is bubbled up by this * function (like regular Solidity function calls). * * Returns the raw returned data. To convert to the expected return value, * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`]. * * Requirements: * * - `target` must be a contract. * - calling `target` with `data` must not revert. * * _Available since v3.1._ */ function functionCall(address target, bytes memory data) internal returns (bytes memory) { return functionCallWithValue(target, data, 0, "Address: low-level call failed"); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with * `errorMessage` as a fallback revert reason when `target` reverts. * * _Available since v3.1._ */ function functionCall( address target, bytes memory data, string memory errorMessage ) internal returns (bytes memory) { return functionCallWithValue(target, data, 0, errorMessage); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], * but also transferring `value` wei to `target`. * * Requirements: * * - the calling contract must have an ETH balance of at least `value`. * - the called Solidity function must be `payable`. * * _Available since v3.1._ */ function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) { return functionCallWithValue(target, data, value, "Address: low-level call with value failed"); } /** * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but * with `errorMessage` as a fallback revert reason when `target` reverts. * * _Available since v3.1._ */ function functionCallWithValue( address target, bytes memory data, uint256 value, string memory errorMessage ) internal returns (bytes memory) { require(address(this).balance >= value, "Address: insufficient balance for call"); (bool success, bytes memory returndata) = target.call{value: value}(data); return verifyCallResultFromTarget(target, success, returndata, errorMessage); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], * but performing a static call. * * _Available since v3.3._ */ function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) { return functionStaticCall(target, data, "Address: low-level static call failed"); } /** * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`], * but performing a static call. * * _Available since v3.3._ */ function functionStaticCall( address target, bytes memory data, string memory errorMessage ) internal view returns (bytes memory) { (bool success, bytes memory returndata) = target.staticcall(data); return verifyCallResultFromTarget(target, success, returndata, errorMessage); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], * but performing a delegate call. * * _Available since v3.4._ */ function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) { return functionDelegateCall(target, data, "Address: low-level delegate call failed"); } /** * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`], * but performing a delegate call. * * _Available since v3.4._ */ function functionDelegateCall( address target, bytes memory data, string memory errorMessage ) internal returns (bytes memory) { (bool success, bytes memory returndata) = target.delegatecall(data); return verifyCallResultFromTarget(target, success, returndata, errorMessage); } /** * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract. * * _Available since v4.8._ */ function verifyCallResultFromTarget( address target, bool success, bytes memory returndata, string memory errorMessage ) internal view returns (bytes memory) { if (success) { if (returndata.length == 0) { // only check isContract if the call was successful and the return data is empty // otherwise we already know that it was a contract require(isContract(target), "Address: call to non-contract"); } return returndata; } else { _revert(returndata, errorMessage); } } /** * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the * revert reason or using the provided one. * * _Available since v4.3._ */ function verifyCallResult( bool success, bytes memory returndata, string memory errorMessage ) internal pure returns (bytes memory) { if (success) { return returndata; } else { _revert(returndata, errorMessage); } } function _revert(bytes memory returndata, string memory errorMessage) private pure { // Look for revert reason and bubble it up if present if (returndata.length > 0) { // The easiest way to bubble the revert reason is using memory via assembly /// @solidity memory-safe-assembly assembly { let returndata_size := mload(returndata) revert(add(32, returndata), returndata_size) } } else { revert(errorMessage); } } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts v4.4.1 (utils/Context.sol) pragma solidity ^0.8.0; /** * @dev Provides information about the current execution context, including the * sender of the transaction and its data. While these are generally available * via msg.sender and msg.data, they should not be accessed in such a direct * manner, since when dealing with meta-transactions the account sending and * paying for execution may not be the actual sender (as far as an application * is concerned). * * This contract is only required for intermediate, library-like contracts. */ abstract contract Context { function _msgSender() internal view virtual returns (address) { return msg.sender; } function _msgData() internal view virtual returns (bytes calldata) { return msg.data; } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts v4.4.1 (utils/Counters.sol) pragma solidity ^0.8.0; /** * @title Counters * @author Matt Condon (@shrugs) * @dev Provides counters that can only be incremented, decremented or reset. This can be used e.g. to track the number * of elements in a mapping, issuing ERC721 ids, or counting request ids. * * Include with `using Counters for Counters.Counter;` */ library Counters { struct Counter { // This variable should never be directly accessed by users of the library: interactions must be restricted to // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add // this feature: see https://github.com/ethereum/solidity/issues/4637 uint256 _value; // default: 0 } function current(Counter storage counter) internal view returns (uint256) { return counter._value; } function increment(Counter storage counter) internal { unchecked { counter._value += 1; } } function decrement(Counter storage counter) internal { uint256 value = counter._value; require(value > 0, "Counter: decrement overflow"); unchecked { counter._value = value - 1; } } function reset(Counter storage counter) internal { counter._value = 0; } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (utils/cryptography/ECDSA.sol) pragma solidity ^0.8.0; import "../Strings.sol"; /** * @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, InvalidSignatureV // Deprecated in v4.8 } function _throwError(RecoverError error) private pure { if (error == RecoverError.NoError) { return; // no error: do nothing } else if (error == RecoverError.InvalidSignature) { revert("ECDSA: invalid signature"); } else if (error == RecoverError.InvalidSignatureLength) { revert("ECDSA: invalid signature length"); } else if (error == RecoverError.InvalidSignatureS) { revert("ECDSA: invalid signature 's' value"); } } /** * @dev Returns the address that signed a hashed message (`hash`) with * `signature` or error string. This address can then be used for verification purposes. * * The `ecrecover` EVM opcode 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 {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] * * _Available since v4.3._ */ function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) { 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. /// @solidity memory-safe-assembly assembly { 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); } } /** * @dev Returns the address that signed a hashed message (`hash`) with * `signature`. This address can then be used for verification purposes. * * The `ecrecover` EVM opcode 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 {toEthSignedMessageHash} on it. */ function recover(bytes32 hash, bytes memory signature) internal pure returns (address) { (address recovered, RecoverError error) = tryRecover(hash, signature); _throwError(error); 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[EIP-2098 short signatures] * * _Available since v4.3._ */ function tryRecover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address, RecoverError) { bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff); 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. * * _Available since v4.2._ */ function recover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address) { (address recovered, RecoverError error) = tryRecover(hash, r, vs); _throwError(error); return recovered; } /** * @dev Overload of {ECDSA-tryRecover} that receives the `v`, * `r` and `s` signature fields separately. * * _Available since v4.3._ */ function tryRecover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address, RecoverError) { // 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); } // 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); } return (signer, RecoverError.NoError); } /** * @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) = tryRecover(hash, v, r, s); _throwError(error); return recovered; } /** * @dev Returns an Ethereum Signed Message, created from a `hash`. This * produces hash corresponding to the one signed with the * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] * JSON-RPC method as part of EIP-191. * * See {recover}. */ function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32 message) { // 32 is the length in bytes of hash, // enforced by the type signature above /// @solidity memory-safe-assembly assembly { mstore(0x00, "\x19Ethereum Signed Message:\n32") mstore(0x1c, hash) message := keccak256(0x00, 0x3c) } } /** * @dev Returns an Ethereum Signed Message, created from `s`. This * produces hash corresponding to the one signed with the * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`] * JSON-RPC method as part of EIP-191. * * See {recover}. */ function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) { return keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n", Strings.toString(s.length), s)); } /** * @dev Returns an Ethereum Signed Typed Data, created from a * `domainSeparator` and a `structHash`. This produces hash corresponding * to the one signed with the * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] * JSON-RPC method as part of EIP-712. * * See {recover}. */ function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 data) { /// @solidity memory-safe-assembly assembly { let ptr := mload(0x40) mstore(ptr, "\x19\x01") mstore(add(ptr, 0x02), domainSeparator) mstore(add(ptr, 0x22), structHash) data := keccak256(ptr, 0x42) } } /** * @dev Returns an Ethereum Signed Data with intended validator, created from a * `validator` and `data` according to the version 0 of EIP-191. * * See {recover}. */ function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) { return keccak256(abi.encodePacked("\x19\x00", validator, data)); } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (utils/cryptography/EIP712.sol) pragma solidity ^0.8.8; import "./ECDSA.sol"; import "../ShortStrings.sol"; import "../../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 specified in the EIP is very generic, and such a generic 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 their contracts 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. * * _Available since v3.4._ * * @custom:oz-upgrades-unsafe-allow state-variable-immutable state-variable-assignment */ 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 ECDSA.toTypedDataHash(_domainSeparatorV4(), structHash); } /** * @dev See {EIP-5267}. * * _Available since v4.9._ */ function eip712Domain() public view virtual override returns ( bytes1 fields, string memory name, string memory version, uint256 chainId, address verifyingContract, bytes32 salt, uint256[] memory extensions ) { return ( hex"0f", // 01111 _name.toStringWithFallback(_nameFallback), _version.toStringWithFallback(_versionFallback), block.chainid, address(this), bytes32(0), new uint256[](0) ); } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol) pragma solidity ^0.8.0; /** * @dev Standard math utilities missing in the Solidity language. */ library Math { enum Rounding { Down, // Toward negative infinity Up, // Toward infinity Zero // Toward zero } /** * @dev Returns the largest of two numbers. */ function max(uint256 a, uint256 b) internal pure returns (uint256) { return a > b ? a : b; } /** * @dev Returns the smallest of two numbers. */ function min(uint256 a, uint256 b) internal pure returns (uint256) { return a < b ? a : b; } /** * @dev Returns the average of two numbers. The result is rounded towards * zero. */ function average(uint256 a, uint256 b) internal pure returns (uint256) { // (a + b) / 2 can overflow. return (a & b) + (a ^ b) / 2; } /** * @dev Returns the ceiling of the division of two numbers. * * This differs from standard division with `/` in that it rounds up instead * of rounding down. */ function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) { // (a + b - 1) / b can overflow on addition, so we distribute. return a == 0 ? 0 : (a - 1) / b + 1; } /** * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0 * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) * with further edits by Uniswap Labs also under MIT license. */ function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) { unchecked { // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256 // variables such that product = prod1 * 2^256 + prod0. uint256 prod0; // Least significant 256 bits of the product uint256 prod1; // Most significant 256 bits of the product assembly { let mm := mulmod(x, y, not(0)) prod0 := mul(x, y) prod1 := sub(sub(mm, prod0), lt(mm, prod0)) } // Handle non-overflow cases, 256 by 256 division. if (prod1 == 0) { // Solidity will revert if denominator == 0, unlike the div opcode on its own. // The surrounding unchecked block does not change this fact. // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic. return prod0 / denominator; } // Make sure the result is less than 2^256. Also prevents denominator == 0. require(denominator > prod1, "Math: mulDiv overflow"); /////////////////////////////////////////////// // 512 by 256 division. /////////////////////////////////////////////// // Make division exact by subtracting the remainder from [prod1 prod0]. uint256 remainder; assembly { // Compute remainder using mulmod. remainder := mulmod(x, y, denominator) // Subtract 256 bit number from 512 bit number. prod1 := sub(prod1, gt(remainder, prod0)) prod0 := sub(prod0, remainder) } // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1. // See https://cs.stackexchange.com/q/138556/92363. // Does not overflow because the denominator cannot be zero at this stage in the function. uint256 twos = denominator & (~denominator + 1); assembly { // Divide denominator by twos. denominator := div(denominator, twos) // Divide [prod1 prod0] by twos. prod0 := div(prod0, twos) // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one. twos := add(div(sub(0, twos), twos), 1) } // Shift in bits from prod1 into prod0. prod0 |= prod1 * twos; // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for // four bits. That is, denominator * inv = 1 mod 2^4. uint256 inverse = (3 * denominator) ^ 2; // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works // in modular arithmetic, doubling the correct bits in each step. inverse *= 2 - denominator * inverse; // inverse mod 2^8 inverse *= 2 - denominator * inverse; // inverse mod 2^16 inverse *= 2 - denominator * inverse; // inverse mod 2^32 inverse *= 2 - denominator * inverse; // inverse mod 2^64 inverse *= 2 - denominator * inverse; // inverse mod 2^128 inverse *= 2 - denominator * inverse; // inverse mod 2^256 // Because the division is now exact we can divide by multiplying with the modular inverse of denominator. // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1 // is no longer required. result = prod0 * inverse; return result; } } /** * @notice Calculates x * y / denominator with full precision, following the selected rounding direction. */ function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) { uint256 result = mulDiv(x, y, denominator); if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) { result += 1; } return result; } /** * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down. * * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11). */ function sqrt(uint256 a) internal pure returns (uint256) { if (a == 0) { return 0; } // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target. // // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`. // // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)` // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))` // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)` // // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit. uint256 result = 1 << (log2(a) >> 1); // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128, // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision // into the expected uint128 result. unchecked { result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; return min(result, a / result); } } /** * @notice Calculates sqrt(a), following the selected rounding direction. */ function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) { unchecked { uint256 result = sqrt(a); return result + (rounding == Rounding.Up && result * result < a ? 1 : 0); } } /** * @dev Return the log in base 2, rounded down, of a positive value. * Returns 0 if given 0. */ function log2(uint256 value) internal pure returns (uint256) { uint256 result = 0; unchecked { if (value >> 128 > 0) { value >>= 128; result += 128; } if (value >> 64 > 0) { value >>= 64; result += 64; } if (value >> 32 > 0) { value >>= 32; result += 32; } if (value >> 16 > 0) { value >>= 16; result += 16; } if (value >> 8 > 0) { value >>= 8; result += 8; } if (value >> 4 > 0) { value >>= 4; result += 4; } if (value >> 2 > 0) { value >>= 2; result += 2; } if (value >> 1 > 0) { result += 1; } } return result; } /** * @dev Return the log in base 2, following the selected rounding direction, of a positive value. * Returns 0 if given 0. */ function log2(uint256 value, Rounding rounding) internal pure returns (uint256) { unchecked { uint256 result = log2(value); return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0); } } /** * @dev Return the log in base 10, rounded down, of a positive value. * Returns 0 if given 0. */ function log10(uint256 value) internal pure returns (uint256) { uint256 result = 0; unchecked { if (value >= 10 ** 64) { value /= 10 ** 64; result += 64; } if (value >= 10 ** 32) { value /= 10 ** 32; result += 32; } if (value >= 10 ** 16) { value /= 10 ** 16; result += 16; } if (value >= 10 ** 8) { value /= 10 ** 8; result += 8; } if (value >= 10 ** 4) { value /= 10 ** 4; result += 4; } if (value >= 10 ** 2) { value /= 10 ** 2; result += 2; } if (value >= 10 ** 1) { result += 1; } } return result; } /** * @dev Return the log in base 10, following the selected rounding direction, of a positive value. * Returns 0 if given 0. */ function log10(uint256 value, Rounding rounding) internal pure returns (uint256) { unchecked { uint256 result = log10(value); return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0); } } /** * @dev Return the log in base 256, rounded down, of a positive value. * Returns 0 if given 0. * * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string. */ function log256(uint256 value) internal pure returns (uint256) { uint256 result = 0; unchecked { if (value >> 128 > 0) { value >>= 128; result += 16; } if (value >> 64 > 0) { value >>= 64; result += 8; } if (value >> 32 > 0) { value >>= 32; result += 4; } if (value >> 16 > 0) { value >>= 16; result += 2; } if (value >> 8 > 0) { result += 1; } } return result; } /** * @dev Return the log in base 256, following the selected rounding direction, of a positive value. * Returns 0 if given 0. */ function log256(uint256 value, Rounding rounding) internal pure returns (uint256) { unchecked { uint256 result = log256(value); return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0); } } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SafeCast.sol) // This file was procedurally generated from scripts/generate/templates/SafeCast.js. pragma solidity ^0.8.0; /** * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow * checks. * * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can * easily result in undesired exploitation or bugs, since developers usually * assume that overflows raise errors. `SafeCast` restores this intuition by * reverting the transaction when such an operation overflows. * * Using this library instead of the unchecked operations eliminates an entire * class of bugs, so it's recommended to use it always. * * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing * all math on `uint256` and `int256` and then downcasting. */ library SafeCast { /** * @dev Returns the downcasted uint248 from uint256, reverting on * overflow (when the input is greater than largest uint248). * * Counterpart to Solidity's `uint248` operator. * * Requirements: * * - input must fit into 248 bits * * _Available since v4.7._ */ function toUint248(uint256 value) internal pure returns (uint248) { require(value <= type(uint248).max, "SafeCast: value doesn't fit in 248 bits"); return uint248(value); } /** * @dev Returns the downcasted uint240 from uint256, reverting on * overflow (when the input is greater than largest uint240). * * Counterpart to Solidity's `uint240` operator. * * Requirements: * * - input must fit into 240 bits * * _Available since v4.7._ */ function toUint240(uint256 value) internal pure returns (uint240) { require(value <= type(uint240).max, "SafeCast: value doesn't fit in 240 bits"); return uint240(value); } /** * @dev Returns the downcasted uint232 from uint256, reverting on * overflow (when the input is greater than largest uint232). * * Counterpart to Solidity's `uint232` operator. * * Requirements: * * - input must fit into 232 bits * * _Available since v4.7._ */ function toUint232(uint256 value) internal pure returns (uint232) { require(value <= type(uint232).max, "SafeCast: value doesn't fit in 232 bits"); return uint232(value); } /** * @dev Returns the downcasted uint224 from uint256, reverting on * overflow (when the input is greater than largest uint224). * * Counterpart to Solidity's `uint224` operator. * * Requirements: * * - input must fit into 224 bits * * _Available since v4.2._ */ function toUint224(uint256 value) internal pure returns (uint224) { require(value <= type(uint224).max, "SafeCast: value doesn't fit in 224 bits"); return uint224(value); } /** * @dev Returns the downcasted uint216 from uint256, reverting on * overflow (when the input is greater than largest uint216). * * Counterpart to Solidity's `uint216` operator. * * Requirements: * * - input must fit into 216 bits * * _Available since v4.7._ */ function toUint216(uint256 value) internal pure returns (uint216) { require(value <= type(uint216).max, "SafeCast: value doesn't fit in 216 bits"); return uint216(value); } /** * @dev Returns the downcasted uint208 from uint256, reverting on * overflow (when the input is greater than largest uint208). * * Counterpart to Solidity's `uint208` operator. * * Requirements: * * - input must fit into 208 bits * * _Available since v4.7._ */ function toUint208(uint256 value) internal pure returns (uint208) { require(value <= type(uint208).max, "SafeCast: value doesn't fit in 208 bits"); return uint208(value); } /** * @dev Returns the downcasted uint200 from uint256, reverting on * overflow (when the input is greater than largest uint200). * * Counterpart to Solidity's `uint200` operator. * * Requirements: * * - input must fit into 200 bits * * _Available since v4.7._ */ function toUint200(uint256 value) internal pure returns (uint200) { require(value <= type(uint200).max, "SafeCast: value doesn't fit in 200 bits"); return uint200(value); } /** * @dev Returns the downcasted uint192 from uint256, reverting on * overflow (when the input is greater than largest uint192). * * Counterpart to Solidity's `uint192` operator. * * Requirements: * * - input must fit into 192 bits * * _Available since v4.7._ */ function toUint192(uint256 value) internal pure returns (uint192) { require(value <= type(uint192).max, "SafeCast: value doesn't fit in 192 bits"); return uint192(value); } /** * @dev Returns the downcasted uint184 from uint256, reverting on * overflow (when the input is greater than largest uint184). * * Counterpart to Solidity's `uint184` operator. * * Requirements: * * - input must fit into 184 bits * * _Available since v4.7._ */ function toUint184(uint256 value) internal pure returns (uint184) { require(value <= type(uint184).max, "SafeCast: value doesn't fit in 184 bits"); return uint184(value); } /** * @dev Returns the downcasted uint176 from uint256, reverting on * overflow (when the input is greater than largest uint176). * * Counterpart to Solidity's `uint176` operator. * * Requirements: * * - input must fit into 176 bits * * _Available since v4.7._ */ function toUint176(uint256 value) internal pure returns (uint176) { require(value <= type(uint176).max, "SafeCast: value doesn't fit in 176 bits"); return uint176(value); } /** * @dev Returns the downcasted uint168 from uint256, reverting on * overflow (when the input is greater than largest uint168). * * Counterpart to Solidity's `uint168` operator. * * Requirements: * * - input must fit into 168 bits * * _Available since v4.7._ */ function toUint168(uint256 value) internal pure returns (uint168) { require(value <= type(uint168).max, "SafeCast: value doesn't fit in 168 bits"); return uint168(value); } /** * @dev Returns the downcasted uint160 from uint256, reverting on * overflow (when the input is greater than largest uint160). * * Counterpart to Solidity's `uint160` operator. * * Requirements: * * - input must fit into 160 bits * * _Available since v4.7._ */ function toUint160(uint256 value) internal pure returns (uint160) { require(value <= type(uint160).max, "SafeCast: value doesn't fit in 160 bits"); return uint160(value); } /** * @dev Returns the downcasted uint152 from uint256, reverting on * overflow (when the input is greater than largest uint152). * * Counterpart to Solidity's `uint152` operator. * * Requirements: * * - input must fit into 152 bits * * _Available since v4.7._ */ function toUint152(uint256 value) internal pure returns (uint152) { require(value <= type(uint152).max, "SafeCast: value doesn't fit in 152 bits"); return uint152(value); } /** * @dev Returns the downcasted uint144 from uint256, reverting on * overflow (when the input is greater than largest uint144). * * Counterpart to Solidity's `uint144` operator. * * Requirements: * * - input must fit into 144 bits * * _Available since v4.7._ */ function toUint144(uint256 value) internal pure returns (uint144) { require(value <= type(uint144).max, "SafeCast: value doesn't fit in 144 bits"); return uint144(value); } /** * @dev Returns the downcasted uint136 from uint256, reverting on * overflow (when the input is greater than largest uint136). * * Counterpart to Solidity's `uint136` operator. * * Requirements: * * - input must fit into 136 bits * * _Available since v4.7._ */ function toUint136(uint256 value) internal pure returns (uint136) { require(value <= type(uint136).max, "SafeCast: value doesn't fit in 136 bits"); return uint136(value); } /** * @dev Returns the downcasted uint128 from uint256, reverting on * overflow (when the input is greater than largest uint128). * * Counterpart to Solidity's `uint128` operator. * * Requirements: * * - input must fit into 128 bits * * _Available since v2.5._ */ function toUint128(uint256 value) internal pure returns (uint128) { require(value <= type(uint128).max, "SafeCast: value doesn't fit in 128 bits"); return uint128(value); } /** * @dev Returns the downcasted uint120 from uint256, reverting on * overflow (when the input is greater than largest uint120). * * Counterpart to Solidity's `uint120` operator. * * Requirements: * * - input must fit into 120 bits * * _Available since v4.7._ */ function toUint120(uint256 value) internal pure returns (uint120) { require(value <= type(uint120).max, "SafeCast: value doesn't fit in 120 bits"); return uint120(value); } /** * @dev Returns the downcasted uint112 from uint256, reverting on * overflow (when the input is greater than largest uint112). * * Counterpart to Solidity's `uint112` operator. * * Requirements: * * - input must fit into 112 bits * * _Available since v4.7._ */ function toUint112(uint256 value) internal pure returns (uint112) { require(value <= type(uint112).max, "SafeCast: value doesn't fit in 112 bits"); return uint112(value); } /** * @dev Returns the downcasted uint104 from uint256, reverting on * overflow (when the input is greater than largest uint104). * * Counterpart to Solidity's `uint104` operator. * * Requirements: * * - input must fit into 104 bits * * _Available since v4.7._ */ function toUint104(uint256 value) internal pure returns (uint104) { require(value <= type(uint104).max, "SafeCast: value doesn't fit in 104 bits"); return uint104(value); } /** * @dev Returns the downcasted uint96 from uint256, reverting on * overflow (when the input is greater than largest uint96). * * Counterpart to Solidity's `uint96` operator. * * Requirements: * * - input must fit into 96 bits * * _Available since v4.2._ */ function toUint96(uint256 value) internal pure returns (uint96) { require(value <= type(uint96).max, "SafeCast: value doesn't fit in 96 bits"); return uint96(value); } /** * @dev Returns the downcasted uint88 from uint256, reverting on * overflow (when the input is greater than largest uint88). * * Counterpart to Solidity's `uint88` operator. * * Requirements: * * - input must fit into 88 bits * * _Available since v4.7._ */ function toUint88(uint256 value) internal pure returns (uint88) { require(value <= type(uint88).max, "SafeCast: value doesn't fit in 88 bits"); return uint88(value); } /** * @dev Returns the downcasted uint80 from uint256, reverting on * overflow (when the input is greater than largest uint80). * * Counterpart to Solidity's `uint80` operator. * * Requirements: * * - input must fit into 80 bits * * _Available since v4.7._ */ function toUint80(uint256 value) internal pure returns (uint80) { require(value <= type(uint80).max, "SafeCast: value doesn't fit in 80 bits"); return uint80(value); } /** * @dev Returns the downcasted uint72 from uint256, reverting on * overflow (when the input is greater than largest uint72). * * Counterpart to Solidity's `uint72` operator. * * Requirements: * * - input must fit into 72 bits * * _Available since v4.7._ */ function toUint72(uint256 value) internal pure returns (uint72) { require(value <= type(uint72).max, "SafeCast: value doesn't fit in 72 bits"); return uint72(value); } /** * @dev Returns the downcasted uint64 from uint256, reverting on * overflow (when the input is greater than largest uint64). * * Counterpart to Solidity's `uint64` operator. * * Requirements: * * - input must fit into 64 bits * * _Available since v2.5._ */ function toUint64(uint256 value) internal pure returns (uint64) { require(value <= type(uint64).max, "SafeCast: value doesn't fit in 64 bits"); return uint64(value); } /** * @dev Returns the downcasted uint56 from uint256, reverting on * overflow (when the input is greater than largest uint56). * * Counterpart to Solidity's `uint56` operator. * * Requirements: * * - input must fit into 56 bits * * _Available since v4.7._ */ function toUint56(uint256 value) internal pure returns (uint56) { require(value <= type(uint56).max, "SafeCast: value doesn't fit in 56 bits"); return uint56(value); } /** * @dev Returns the downcasted uint48 from uint256, reverting on * overflow (when the input is greater than largest uint48). * * Counterpart to Solidity's `uint48` operator. * * Requirements: * * - input must fit into 48 bits * * _Available since v4.7._ */ function toUint48(uint256 value) internal pure returns (uint48) { require(value <= type(uint48).max, "SafeCast: value doesn't fit in 48 bits"); return uint48(value); } /** * @dev Returns the downcasted uint40 from uint256, reverting on * overflow (when the input is greater than largest uint40). * * Counterpart to Solidity's `uint40` operator. * * Requirements: * * - input must fit into 40 bits * * _Available since v4.7._ */ function toUint40(uint256 value) internal pure returns (uint40) { require(value <= type(uint40).max, "SafeCast: value doesn't fit in 40 bits"); return uint40(value); } /** * @dev Returns the downcasted uint32 from uint256, reverting on * overflow (when the input is greater than largest uint32). * * Counterpart to Solidity's `uint32` operator. * * Requirements: * * - input must fit into 32 bits * * _Available since v2.5._ */ function toUint32(uint256 value) internal pure returns (uint32) { require(value <= type(uint32).max, "SafeCast: value doesn't fit in 32 bits"); return uint32(value); } /** * @dev Returns the downcasted uint24 from uint256, reverting on * overflow (when the input is greater than largest uint24). * * Counterpart to Solidity's `uint24` operator. * * Requirements: * * - input must fit into 24 bits * * _Available since v4.7._ */ function toUint24(uint256 value) internal pure returns (uint24) { require(value <= type(uint24).max, "SafeCast: value doesn't fit in 24 bits"); return uint24(value); } /** * @dev Returns the downcasted uint16 from uint256, reverting on * overflow (when the input is greater than largest uint16). * * Counterpart to Solidity's `uint16` operator. * * Requirements: * * - input must fit into 16 bits * * _Available since v2.5._ */ function toUint16(uint256 value) internal pure returns (uint16) { require(value <= type(uint16).max, "SafeCast: value doesn't fit in 16 bits"); return uint16(value); } /** * @dev Returns the downcasted uint8 from uint256, reverting on * overflow (when the input is greater than largest uint8). * * Counterpart to Solidity's `uint8` operator. * * Requirements: * * - input must fit into 8 bits * * _Available since v2.5._ */ function toUint8(uint256 value) internal pure returns (uint8) { require(value <= type(uint8).max, "SafeCast: value doesn't fit in 8 bits"); return uint8(value); } /** * @dev Converts a signed int256 into an unsigned uint256. * * Requirements: * * - input must be greater than or equal to 0. * * _Available since v3.0._ */ function toUint256(int256 value) internal pure returns (uint256) { require(value >= 0, "SafeCast: value must be positive"); return uint256(value); } /** * @dev Returns the downcasted int248 from int256, reverting on * overflow (when the input is less than smallest int248 or * greater than largest int248). * * Counterpart to Solidity's `int248` operator. * * Requirements: * * - input must fit into 248 bits * * _Available since v4.7._ */ function toInt248(int256 value) internal pure returns (int248 downcasted) { downcasted = int248(value); require(downcasted == value, "SafeCast: value doesn't fit in 248 bits"); } /** * @dev Returns the downcasted int240 from int256, reverting on * overflow (when the input is less than smallest int240 or * greater than largest int240). * * Counterpart to Solidity's `int240` operator. * * Requirements: * * - input must fit into 240 bits * * _Available since v4.7._ */ function toInt240(int256 value) internal pure returns (int240 downcasted) { downcasted = int240(value); require(downcasted == value, "SafeCast: value doesn't fit in 240 bits"); } /** * @dev Returns the downcasted int232 from int256, reverting on * overflow (when the input is less than smallest int232 or * greater than largest int232). * * Counterpart to Solidity's `int232` operator. * * Requirements: * * - input must fit into 232 bits * * _Available since v4.7._ */ function toInt232(int256 value) internal pure returns (int232 downcasted) { downcasted = int232(value); require(downcasted == value, "SafeCast: value doesn't fit in 232 bits"); } /** * @dev Returns the downcasted int224 from int256, reverting on * overflow (when the input is less than smallest int224 or * greater than largest int224). * * Counterpart to Solidity's `int224` operator. * * Requirements: * * - input must fit into 224 bits * * _Available since v4.7._ */ function toInt224(int256 value) internal pure returns (int224 downcasted) { downcasted = int224(value); require(downcasted == value, "SafeCast: value doesn't fit in 224 bits"); } /** * @dev Returns the downcasted int216 from int256, reverting on * overflow (when the input is less than smallest int216 or * greater than largest int216). * * Counterpart to Solidity's `int216` operator. * * Requirements: * * - input must fit into 216 bits * * _Available since v4.7._ */ function toInt216(int256 value) internal pure returns (int216 downcasted) { downcasted = int216(value); require(downcasted == value, "SafeCast: value doesn't fit in 216 bits"); } /** * @dev Returns the downcasted int208 from int256, reverting on * overflow (when the input is less than smallest int208 or * greater than largest int208). * * Counterpart to Solidity's `int208` operator. * * Requirements: * * - input must fit into 208 bits * * _Available since v4.7._ */ function toInt208(int256 value) internal pure returns (int208 downcasted) { downcasted = int208(value); require(downcasted == value, "SafeCast: value doesn't fit in 208 bits"); } /** * @dev Returns the downcasted int200 from int256, reverting on * overflow (when the input is less than smallest int200 or * greater than largest int200). * * Counterpart to Solidity's `int200` operator. * * Requirements: * * - input must fit into 200 bits * * _Available since v4.7._ */ function toInt200(int256 value) internal pure returns (int200 downcasted) { downcasted = int200(value); require(downcasted == value, "SafeCast: value doesn't fit in 200 bits"); } /** * @dev Returns the downcasted int192 from int256, reverting on * overflow (when the input is less than smallest int192 or * greater than largest int192). * * Counterpart to Solidity's `int192` operator. * * Requirements: * * - input must fit into 192 bits * * _Available since v4.7._ */ function toInt192(int256 value) internal pure returns (int192 downcasted) { downcasted = int192(value); require(downcasted == value, "SafeCast: value doesn't fit in 192 bits"); } /** * @dev Returns the downcasted int184 from int256, reverting on * overflow (when the input is less than smallest int184 or * greater than largest int184). * * Counterpart to Solidity's `int184` operator. * * Requirements: * * - input must fit into 184 bits * * _Available since v4.7._ */ function toInt184(int256 value) internal pure returns (int184 downcasted) { downcasted = int184(value); require(downcasted == value, "SafeCast: value doesn't fit in 184 bits"); } /** * @dev Returns the downcasted int176 from int256, reverting on * overflow (when the input is less than smallest int176 or * greater than largest int176). * * Counterpart to Solidity's `int176` operator. * * Requirements: * * - input must fit into 176 bits * * _Available since v4.7._ */ function toInt176(int256 value) internal pure returns (int176 downcasted) { downcasted = int176(value); require(downcasted == value, "SafeCast: value doesn't fit in 176 bits"); } /** * @dev Returns the downcasted int168 from int256, reverting on * overflow (when the input is less than smallest int168 or * greater than largest int168). * * Counterpart to Solidity's `int168` operator. * * Requirements: * * - input must fit into 168 bits * * _Available since v4.7._ */ function toInt168(int256 value) internal pure returns (int168 downcasted) { downcasted = int168(value); require(downcasted == value, "SafeCast: value doesn't fit in 168 bits"); } /** * @dev Returns the downcasted int160 from int256, reverting on * overflow (when the input is less than smallest int160 or * greater than largest int160). * * Counterpart to Solidity's `int160` operator. * * Requirements: * * - input must fit into 160 bits * * _Available since v4.7._ */ function toInt160(int256 value) internal pure returns (int160 downcasted) { downcasted = int160(value); require(downcasted == value, "SafeCast: value doesn't fit in 160 bits"); } /** * @dev Returns the downcasted int152 from int256, reverting on * overflow (when the input is less than smallest int152 or * greater than largest int152). * * Counterpart to Solidity's `int152` operator. * * Requirements: * * - input must fit into 152 bits * * _Available since v4.7._ */ function toInt152(int256 value) internal pure returns (int152 downcasted) { downcasted = int152(value); require(downcasted == value, "SafeCast: value doesn't fit in 152 bits"); } /** * @dev Returns the downcasted int144 from int256, reverting on * overflow (when the input is less than smallest int144 or * greater than largest int144). * * Counterpart to Solidity's `int144` operator. * * Requirements: * * - input must fit into 144 bits * * _Available since v4.7._ */ function toInt144(int256 value) internal pure returns (int144 downcasted) { downcasted = int144(value); require(downcasted == value, "SafeCast: value doesn't fit in 144 bits"); } /** * @dev Returns the downcasted int136 from int256, reverting on * overflow (when the input is less than smallest int136 or * greater than largest int136). * * Counterpart to Solidity's `int136` operator. * * Requirements: * * - input must fit into 136 bits * * _Available since v4.7._ */ function toInt136(int256 value) internal pure returns (int136 downcasted) { downcasted = int136(value); require(downcasted == value, "SafeCast: value doesn't fit in 136 bits"); } /** * @dev Returns the downcasted int128 from int256, reverting on * overflow (when the input is less than smallest int128 or * greater than largest int128). * * Counterpart to Solidity's `int128` operator. * * Requirements: * * - input must fit into 128 bits * * _Available since v3.1._ */ function toInt128(int256 value) internal pure returns (int128 downcasted) { downcasted = int128(value); require(downcasted == value, "SafeCast: value doesn't fit in 128 bits"); } /** * @dev Returns the downcasted int120 from int256, reverting on * overflow (when the input is less than smallest int120 or * greater than largest int120). * * Counterpart to Solidity's `int120` operator. * * Requirements: * * - input must fit into 120 bits * * _Available since v4.7._ */ function toInt120(int256 value) internal pure returns (int120 downcasted) { downcasted = int120(value); require(downcasted == value, "SafeCast: value doesn't fit in 120 bits"); } /** * @dev Returns the downcasted int112 from int256, reverting on * overflow (when the input is less than smallest int112 or * greater than largest int112). * * Counterpart to Solidity's `int112` operator. * * Requirements: * * - input must fit into 112 bits * * _Available since v4.7._ */ function toInt112(int256 value) internal pure returns (int112 downcasted) { downcasted = int112(value); require(downcasted == value, "SafeCast: value doesn't fit in 112 bits"); } /** * @dev Returns the downcasted int104 from int256, reverting on * overflow (when the input is less than smallest int104 or * greater than largest int104). * * Counterpart to Solidity's `int104` operator. * * Requirements: * * - input must fit into 104 bits * * _Available since v4.7._ */ function toInt104(int256 value) internal pure returns (int104 downcasted) { downcasted = int104(value); require(downcasted == value, "SafeCast: value doesn't fit in 104 bits"); } /** * @dev Returns the downcasted int96 from int256, reverting on * overflow (when the input is less than smallest int96 or * greater than largest int96). * * Counterpart to Solidity's `int96` operator. * * Requirements: * * - input must fit into 96 bits * * _Available since v4.7._ */ function toInt96(int256 value) internal pure returns (int96 downcasted) { downcasted = int96(value); require(downcasted == value, "SafeCast: value doesn't fit in 96 bits"); } /** * @dev Returns the downcasted int88 from int256, reverting on * overflow (when the input is less than smallest int88 or * greater than largest int88). * * Counterpart to Solidity's `int88` operator. * * Requirements: * * - input must fit into 88 bits * * _Available since v4.7._ */ function toInt88(int256 value) internal pure returns (int88 downcasted) { downcasted = int88(value); require(downcasted == value, "SafeCast: value doesn't fit in 88 bits"); } /** * @dev Returns the downcasted int80 from int256, reverting on * overflow (when the input is less than smallest int80 or * greater than largest int80). * * Counterpart to Solidity's `int80` operator. * * Requirements: * * - input must fit into 80 bits * * _Available since v4.7._ */ function toInt80(int256 value) internal pure returns (int80 downcasted) { downcasted = int80(value); require(downcasted == value, "SafeCast: value doesn't fit in 80 bits"); } /** * @dev Returns the downcasted int72 from int256, reverting on * overflow (when the input is less than smallest int72 or * greater than largest int72). * * Counterpart to Solidity's `int72` operator. * * Requirements: * * - input must fit into 72 bits * * _Available since v4.7._ */ function toInt72(int256 value) internal pure returns (int72 downcasted) { downcasted = int72(value); require(downcasted == value, "SafeCast: value doesn't fit in 72 bits"); } /** * @dev Returns the downcasted int64 from int256, reverting on * overflow (when the input is less than smallest int64 or * greater than largest int64). * * Counterpart to Solidity's `int64` operator. * * Requirements: * * - input must fit into 64 bits * * _Available since v3.1._ */ function toInt64(int256 value) internal pure returns (int64 downcasted) { downcasted = int64(value); require(downcasted == value, "SafeCast: value doesn't fit in 64 bits"); } /** * @dev Returns the downcasted int56 from int256, reverting on * overflow (when the input is less than smallest int56 or * greater than largest int56). * * Counterpart to Solidity's `int56` operator. * * Requirements: * * - input must fit into 56 bits * * _Available since v4.7._ */ function toInt56(int256 value) internal pure returns (int56 downcasted) { downcasted = int56(value); require(downcasted == value, "SafeCast: value doesn't fit in 56 bits"); } /** * @dev Returns the downcasted int48 from int256, reverting on * overflow (when the input is less than smallest int48 or * greater than largest int48). * * Counterpart to Solidity's `int48` operator. * * Requirements: * * - input must fit into 48 bits * * _Available since v4.7._ */ function toInt48(int256 value) internal pure returns (int48 downcasted) { downcasted = int48(value); require(downcasted == value, "SafeCast: value doesn't fit in 48 bits"); } /** * @dev Returns the downcasted int40 from int256, reverting on * overflow (when the input is less than smallest int40 or * greater than largest int40). * * Counterpart to Solidity's `int40` operator. * * Requirements: * * - input must fit into 40 bits * * _Available since v4.7._ */ function toInt40(int256 value) internal pure returns (int40 downcasted) { downcasted = int40(value); require(downcasted == value, "SafeCast: value doesn't fit in 40 bits"); } /** * @dev Returns the downcasted int32 from int256, reverting on * overflow (when the input is less than smallest int32 or * greater than largest int32). * * Counterpart to Solidity's `int32` operator. * * Requirements: * * - input must fit into 32 bits * * _Available since v3.1._ */ function toInt32(int256 value) internal pure returns (int32 downcasted) { downcasted = int32(value); require(downcasted == value, "SafeCast: value doesn't fit in 32 bits"); } /** * @dev Returns the downcasted int24 from int256, reverting on * overflow (when the input is less than smallest int24 or * greater than largest int24). * * Counterpart to Solidity's `int24` operator. * * Requirements: * * - input must fit into 24 bits * * _Available since v4.7._ */ function toInt24(int256 value) internal pure returns (int24 downcasted) { downcasted = int24(value); require(downcasted == value, "SafeCast: value doesn't fit in 24 bits"); } /** * @dev Returns the downcasted int16 from int256, reverting on * overflow (when the input is less than smallest int16 or * greater than largest int16). * * Counterpart to Solidity's `int16` operator. * * Requirements: * * - input must fit into 16 bits * * _Available since v3.1._ */ function toInt16(int256 value) internal pure returns (int16 downcasted) { downcasted = int16(value); require(downcasted == value, "SafeCast: value doesn't fit in 16 bits"); } /** * @dev Returns the downcasted int8 from int256, reverting on * overflow (when the input is less than smallest int8 or * greater than largest int8). * * Counterpart to Solidity's `int8` operator. * * Requirements: * * - input must fit into 8 bits * * _Available since v3.1._ */ function toInt8(int256 value) internal pure returns (int8 downcasted) { downcasted = int8(value); require(downcasted == value, "SafeCast: value doesn't fit in 8 bits"); } /** * @dev Converts an unsigned uint256 into a signed int256. * * Requirements: * * - input must be less than or equal to maxInt256. * * _Available since v3.0._ */ function toInt256(uint256 value) internal pure returns (int256) { // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive require(value <= uint256(type(int256).max), "SafeCast: value doesn't fit in an int256"); return int256(value); } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SignedMath.sol) pragma solidity ^0.8.0; /** * @dev Standard signed math utilities missing in the Solidity language. */ library SignedMath { /** * @dev Returns the largest of two signed numbers. */ function max(int256 a, int256 b) internal pure returns (int256) { return a > b ? a : b; } /** * @dev Returns the smallest of two signed numbers. */ function min(int256 a, int256 b) internal pure returns (int256) { return a < b ? a : b; } /** * @dev Returns the average of two signed numbers without overflow. * The result is rounded towards zero. */ function average(int256 a, int256 b) internal pure returns (int256) { // Formula from the book "Hacker's Delight" int256 x = (a & b) + ((a ^ b) >> 1); return x + (int256(uint256(x) >> 255) & (a ^ b)); } /** * @dev Returns the absolute unsigned value of a signed value. */ function abs(int256 n) internal pure returns (uint256) { unchecked { // must be unchecked in order to support `n = type(int256).min` return uint256(n >= 0 ? n : -n); } } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (utils/ShortStrings.sol) pragma solidity ^0.8.8; import "./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); /// @solidity memory-safe-assembly assembly { 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 v4.9.0) (utils/StorageSlot.sol) // This file was procedurally generated from scripts/generate/templates/StorageSlot.js. pragma solidity ^0.8.0; /** * @dev Library for reading and writing primitive types to specific storage slots. * * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts. * This library helps with reading and writing to such slots without the need for inline assembly. * * The functions in this library return Slot structs that contain a `value` member that can be used to read or write. * * Example usage to set ERC1967 implementation slot: * ```solidity * contract ERC1967 { * bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc; * * function _getImplementation() internal view returns (address) { * return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value; * } * * function _setImplementation(address newImplementation) internal { * require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract"); * StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation; * } * } * ``` * * _Available since v4.1 for `address`, `bool`, `bytes32`, `uint256`._ * _Available since v4.9 for `string`, `bytes`._ */ library StorageSlot { struct AddressSlot { address value; } struct BooleanSlot { bool value; } struct Bytes32Slot { bytes32 value; } struct Uint256Slot { uint256 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) { /// @solidity memory-safe-assembly assembly { r.slot := slot } } /** * @dev Returns an `BooleanSlot` with member `value` located at `slot`. */ function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) { /// @solidity memory-safe-assembly assembly { r.slot := slot } } /** * @dev Returns an `Bytes32Slot` with member `value` located at `slot`. */ function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) { /// @solidity memory-safe-assembly assembly { r.slot := slot } } /** * @dev Returns an `Uint256Slot` with member `value` located at `slot`. */ function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) { /// @solidity memory-safe-assembly assembly { r.slot := slot } } /** * @dev Returns an `StringSlot` with member `value` located at `slot`. */ function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) { /// @solidity memory-safe-assembly assembly { 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) { /// @solidity memory-safe-assembly assembly { r.slot := store.slot } } /** * @dev Returns an `BytesSlot` with member `value` located at `slot`. */ function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) { /// @solidity memory-safe-assembly assembly { 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) { /// @solidity memory-safe-assembly assembly { r.slot := store.slot } } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (utils/Strings.sol) pragma solidity ^0.8.0; import "./math/Math.sol"; import "./math/SignedMath.sol"; /** * @dev String operations. */ library Strings { bytes16 private constant _SYMBOLS = "0123456789abcdef"; uint8 private constant _ADDRESS_LENGTH = 20; /** * @dev Converts a `uint256` to its ASCII `string` decimal representation. */ function toString(uint256 value) internal pure returns (string memory) { unchecked { uint256 length = Math.log10(value) + 1; string memory buffer = new string(length); uint256 ptr; /// @solidity memory-safe-assembly assembly { ptr := add(buffer, add(32, length)) } while (true) { ptr--; /// @solidity memory-safe-assembly assembly { mstore8(ptr, byte(mod(value, 10), _SYMBOLS)) } value /= 10; if (value == 0) break; } return buffer; } } /** * @dev Converts a `int256` to its ASCII `string` decimal representation. */ function toString(int256 value) internal pure returns (string memory) { return string(abi.encodePacked(value < 0 ? "-" : "", toString(SignedMath.abs(value)))); } /** * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation. */ function toHexString(uint256 value) internal pure returns (string memory) { unchecked { return toHexString(value, Math.log256(value) + 1); } } /** * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length. */ function toHexString(uint256 value, uint256 length) internal pure returns (string memory) { bytes memory buffer = new bytes(2 * length + 2); buffer[0] = "0"; buffer[1] = "x"; for (uint256 i = 2 * length + 1; i > 1; --i) { buffer[i] = _SYMBOLS[value & 0xf]; value >>= 4; } require(value == 0, "Strings: hex length insufficient"); return string(buffer); } /** * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation. */ function toHexString(address addr) internal pure returns (string memory) { return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH); } /** * @dev Returns true if the two strings are equal. */ function equal(string memory a, string memory b) internal pure returns (bool) { return keccak256(bytes(a)) == keccak256(bytes(b)); } }
// SPDX-License-Identifier: Unlicense pragma solidity >=0.8.4; /// @notice Emitted when the result overflows uint256. error PRBMath__MulDivFixedPointOverflow(uint256 prod1); /// @notice Emitted when the result overflows uint256. error PRBMath__MulDivOverflow(uint256 prod1, uint256 denominator); /// @notice Emitted when one of the inputs is type(int256).min. error PRBMath__MulDivSignedInputTooSmall(); /// @notice Emitted when the intermediary absolute result overflows int256. error PRBMath__MulDivSignedOverflow(uint256 rAbs); /// @notice Emitted when the input is MIN_SD59x18. error PRBMathSD59x18__AbsInputTooSmall(); /// @notice Emitted when ceiling a number overflows SD59x18. error PRBMathSD59x18__CeilOverflow(int256 x); /// @notice Emitted when one of the inputs is MIN_SD59x18. error PRBMathSD59x18__DivInputTooSmall(); /// @notice Emitted when one of the intermediary unsigned results overflows SD59x18. error PRBMathSD59x18__DivOverflow(uint256 rAbs); /// @notice Emitted when the input is greater than 133.084258667509499441. error PRBMathSD59x18__ExpInputTooBig(int256 x); /// @notice Emitted when the input is greater than 192. error PRBMathSD59x18__Exp2InputTooBig(int256 x); /// @notice Emitted when flooring a number underflows SD59x18. error PRBMathSD59x18__FloorUnderflow(int256 x); /// @notice Emitted when converting a basic integer to the fixed-point format overflows SD59x18. error PRBMathSD59x18__FromIntOverflow(int256 x); /// @notice Emitted when converting a basic integer to the fixed-point format underflows SD59x18. error PRBMathSD59x18__FromIntUnderflow(int256 x); /// @notice Emitted when the product of the inputs is negative. error PRBMathSD59x18__GmNegativeProduct(int256 x, int256 y); /// @notice Emitted when multiplying the inputs overflows SD59x18. error PRBMathSD59x18__GmOverflow(int256 x, int256 y); /// @notice Emitted when the input is less than or equal to zero. error PRBMathSD59x18__LogInputTooSmall(int256 x); /// @notice Emitted when one of the inputs is MIN_SD59x18. error PRBMathSD59x18__MulInputTooSmall(); /// @notice Emitted when the intermediary absolute result overflows SD59x18. error PRBMathSD59x18__MulOverflow(uint256 rAbs); /// @notice Emitted when the intermediary absolute result overflows SD59x18. error PRBMathSD59x18__PowuOverflow(uint256 rAbs); /// @notice Emitted when the input is negative. error PRBMathSD59x18__SqrtNegativeInput(int256 x); /// @notice Emitted when the calculating the square root overflows SD59x18. error PRBMathSD59x18__SqrtOverflow(int256 x); /// @notice Emitted when addition overflows UD60x18. error PRBMathUD60x18__AddOverflow(uint256 x, uint256 y); /// @notice Emitted when ceiling a number overflows UD60x18. error PRBMathUD60x18__CeilOverflow(uint256 x); /// @notice Emitted when the input is greater than 133.084258667509499441. error PRBMathUD60x18__ExpInputTooBig(uint256 x); /// @notice Emitted when the input is greater than 192. error PRBMathUD60x18__Exp2InputTooBig(uint256 x); /// @notice Emitted when converting a basic integer to the fixed-point format format overflows UD60x18. error PRBMathUD60x18__FromUintOverflow(uint256 x); /// @notice Emitted when multiplying the inputs overflows UD60x18. error PRBMathUD60x18__GmOverflow(uint256 x, uint256 y); /// @notice Emitted when the input is less than 1. error PRBMathUD60x18__LogInputTooSmall(uint256 x); /// @notice Emitted when the calculating the square root overflows UD60x18. error PRBMathUD60x18__SqrtOverflow(uint256 x); /// @notice Emitted when subtraction underflows UD60x18. error PRBMathUD60x18__SubUnderflow(uint256 x, uint256 y); /// @dev Common mathematical functions used in both PRBMathSD59x18 and PRBMathUD60x18. Note that this shared library /// does not always assume the signed 59.18-decimal fixed-point or the unsigned 60.18-decimal fixed-point /// representation. When it does not, it is explicitly mentioned in the NatSpec documentation. library PRBMath { /// STRUCTS /// struct SD59x18 { int256 value; } struct UD60x18 { uint256 value; } /// STORAGE /// /// @dev How many trailing decimals can be represented. uint256 internal constant SCALE = 1e18; /// @dev Largest power of two divisor of SCALE. uint256 internal constant SCALE_LPOTD = 262144; /// @dev SCALE inverted mod 2^256. uint256 internal constant SCALE_INVERSE = 78156646155174841979727994598816262306175212592076161876661_508869554232690281; /// FUNCTIONS /// /// @notice Calculates the binary exponent of x using the binary fraction method. /// @dev Has to use 192.64-bit fixed-point numbers. /// See https://ethereum.stackexchange.com/a/96594/24693. /// @param x The exponent as an unsigned 192.64-bit fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function exp2(uint256 x) internal pure returns (uint256 result) { unchecked { // Start from 0.5 in the 192.64-bit fixed-point format. result = 0x800000000000000000000000000000000000000000000000; // Multiply the result by root(2, 2^-i) when the bit at position i is 1. None of the intermediary results overflows // because the initial result is 2^191 and all magic factors are less than 2^65. if (x & 0x8000000000000000 > 0) { result = (result * 0x16A09E667F3BCC909) >> 64; } if (x & 0x4000000000000000 > 0) { result = (result * 0x1306FE0A31B7152DF) >> 64; } if (x & 0x2000000000000000 > 0) { result = (result * 0x1172B83C7D517ADCE) >> 64; } if (x & 0x1000000000000000 > 0) { result = (result * 0x10B5586CF9890F62A) >> 64; } if (x & 0x800000000000000 > 0) { result = (result * 0x1059B0D31585743AE) >> 64; } if (x & 0x400000000000000 > 0) { result = (result * 0x102C9A3E778060EE7) >> 64; } if (x & 0x200000000000000 > 0) { result = (result * 0x10163DA9FB33356D8) >> 64; } if (x & 0x100000000000000 > 0) { result = (result * 0x100B1AFA5ABCBED61) >> 64; } if (x & 0x80000000000000 > 0) { result = (result * 0x10058C86DA1C09EA2) >> 64; } if (x & 0x40000000000000 > 0) { result = (result * 0x1002C605E2E8CEC50) >> 64; } if (x & 0x20000000000000 > 0) { result = (result * 0x100162F3904051FA1) >> 64; } if (x & 0x10000000000000 > 0) { result = (result * 0x1000B175EFFDC76BA) >> 64; } if (x & 0x8000000000000 > 0) { result = (result * 0x100058BA01FB9F96D) >> 64; } if (x & 0x4000000000000 > 0) { result = (result * 0x10002C5CC37DA9492) >> 64; } if (x & 0x2000000000000 > 0) { result = (result * 0x1000162E525EE0547) >> 64; } if (x & 0x1000000000000 > 0) { result = (result * 0x10000B17255775C04) >> 64; } if (x & 0x800000000000 > 0) { result = (result * 0x1000058B91B5BC9AE) >> 64; } if (x & 0x400000000000 > 0) { result = (result * 0x100002C5C89D5EC6D) >> 64; } if (x & 0x200000000000 > 0) { result = (result * 0x10000162E43F4F831) >> 64; } if (x & 0x100000000000 > 0) { result = (result * 0x100000B1721BCFC9A) >> 64; } if (x & 0x80000000000 > 0) { result = (result * 0x10000058B90CF1E6E) >> 64; } if (x & 0x40000000000 > 0) { result = (result * 0x1000002C5C863B73F) >> 64; } if (x & 0x20000000000 > 0) { result = (result * 0x100000162E430E5A2) >> 64; } if (x & 0x10000000000 > 0) { result = (result * 0x1000000B172183551) >> 64; } if (x & 0x8000000000 > 0) { result = (result * 0x100000058B90C0B49) >> 64; } if (x & 0x4000000000 > 0) { result = (result * 0x10000002C5C8601CC) >> 64; } if (x & 0x2000000000 > 0) { result = (result * 0x1000000162E42FFF0) >> 64; } if (x & 0x1000000000 > 0) { result = (result * 0x10000000B17217FBB) >> 64; } if (x & 0x800000000 > 0) { result = (result * 0x1000000058B90BFCE) >> 64; } if (x & 0x400000000 > 0) { result = (result * 0x100000002C5C85FE3) >> 64; } if (x & 0x200000000 > 0) { result = (result * 0x10000000162E42FF1) >> 64; } if (x & 0x100000000 > 0) { result = (result * 0x100000000B17217F8) >> 64; } if (x & 0x80000000 > 0) { result = (result * 0x10000000058B90BFC) >> 64; } if (x & 0x40000000 > 0) { result = (result * 0x1000000002C5C85FE) >> 64; } if (x & 0x20000000 > 0) { result = (result * 0x100000000162E42FF) >> 64; } if (x & 0x10000000 > 0) { result = (result * 0x1000000000B17217F) >> 64; } if (x & 0x8000000 > 0) { result = (result * 0x100000000058B90C0) >> 64; } if (x & 0x4000000 > 0) { result = (result * 0x10000000002C5C860) >> 64; } if (x & 0x2000000 > 0) { result = (result * 0x1000000000162E430) >> 64; } if (x & 0x1000000 > 0) { result = (result * 0x10000000000B17218) >> 64; } if (x & 0x800000 > 0) { result = (result * 0x1000000000058B90C) >> 64; } if (x & 0x400000 > 0) { result = (result * 0x100000000002C5C86) >> 64; } if (x & 0x200000 > 0) { result = (result * 0x10000000000162E43) >> 64; } if (x & 0x100000 > 0) { result = (result * 0x100000000000B1721) >> 64; } if (x & 0x80000 > 0) { result = (result * 0x10000000000058B91) >> 64; } if (x & 0x40000 > 0) { result = (result * 0x1000000000002C5C8) >> 64; } if (x & 0x20000 > 0) { result = (result * 0x100000000000162E4) >> 64; } if (x & 0x10000 > 0) { result = (result * 0x1000000000000B172) >> 64; } if (x & 0x8000 > 0) { result = (result * 0x100000000000058B9) >> 64; } if (x & 0x4000 > 0) { result = (result * 0x10000000000002C5D) >> 64; } if (x & 0x2000 > 0) { result = (result * 0x1000000000000162E) >> 64; } if (x & 0x1000 > 0) { result = (result * 0x10000000000000B17) >> 64; } if (x & 0x800 > 0) { result = (result * 0x1000000000000058C) >> 64; } if (x & 0x400 > 0) { result = (result * 0x100000000000002C6) >> 64; } if (x & 0x200 > 0) { result = (result * 0x10000000000000163) >> 64; } if (x & 0x100 > 0) { result = (result * 0x100000000000000B1) >> 64; } if (x & 0x80 > 0) { result = (result * 0x10000000000000059) >> 64; } if (x & 0x40 > 0) { result = (result * 0x1000000000000002C) >> 64; } if (x & 0x20 > 0) { result = (result * 0x10000000000000016) >> 64; } if (x & 0x10 > 0) { result = (result * 0x1000000000000000B) >> 64; } if (x & 0x8 > 0) { result = (result * 0x10000000000000006) >> 64; } if (x & 0x4 > 0) { result = (result * 0x10000000000000003) >> 64; } if (x & 0x2 > 0) { result = (result * 0x10000000000000001) >> 64; } if (x & 0x1 > 0) { result = (result * 0x10000000000000001) >> 64; } // We're doing two things at the same time: // // 1. Multiply the result by 2^n + 1, where "2^n" is the integer part and the one is added to account for // the fact that we initially set the result to 0.5. This is accomplished by subtracting from 191 // rather than 192. // 2. Convert the result to the unsigned 60.18-decimal fixed-point format. // // This works because 2^(191-ip) = 2^ip / 2^191, where "ip" is the integer part "2^n". result *= SCALE; result >>= (191 - (x >> 64)); } } /// @notice Finds the zero-based index of the first one in the binary representation of x. /// @dev See the note on msb in the "Find First Set" Wikipedia article https://en.wikipedia.org/wiki/Find_first_set /// @param x The uint256 number for which to find the index of the most significant bit. /// @return msb The index of the most significant bit as an uint256. function mostSignificantBit(uint256 x) internal pure returns (uint256 msb) { if (x >= 2**128) { x >>= 128; msb += 128; } if (x >= 2**64) { x >>= 64; msb += 64; } if (x >= 2**32) { x >>= 32; msb += 32; } if (x >= 2**16) { x >>= 16; msb += 16; } if (x >= 2**8) { x >>= 8; msb += 8; } if (x >= 2**4) { x >>= 4; msb += 4; } if (x >= 2**2) { x >>= 2; msb += 2; } if (x >= 2**1) { // No need to shift x any more. msb += 1; } } /// @notice Calculates floor(x*y÷denominator) with full precision. /// /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv. /// /// Requirements: /// - The denominator cannot be zero. /// - The result must fit within uint256. /// /// Caveats: /// - This function does not work with fixed-point numbers. /// /// @param x The multiplicand as an uint256. /// @param y The multiplier as an uint256. /// @param denominator The divisor as an uint256. /// @return result The result as an uint256. function mulDiv( uint256 x, uint256 y, uint256 denominator ) internal pure returns (uint256 result) { // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256 // variables such that product = prod1 * 2^256 + prod0. uint256 prod0; // Least significant 256 bits of the product uint256 prod1; // Most significant 256 bits of the product assembly { let mm := mulmod(x, y, not(0)) prod0 := mul(x, y) prod1 := sub(sub(mm, prod0), lt(mm, prod0)) } // Handle non-overflow cases, 256 by 256 division. if (prod1 == 0) { unchecked { result = prod0 / denominator; } return result; } // Make sure the result is less than 2^256. Also prevents denominator == 0. if (prod1 >= denominator) { revert PRBMath__MulDivOverflow(prod1, denominator); } /////////////////////////////////////////////// // 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. unchecked { // Does not overflow because the denominator cannot be zero at this stage in the function. uint256 lpotdod = denominator & (~denominator + 1); assembly { // Divide denominator by lpotdod. denominator := div(denominator, lpotdod) // Divide [prod1 prod0] by lpotdod. prod0 := div(prod0, lpotdod) // Flip lpotdod such that it is 2^256 / lpotdod. If lpotdod is zero, then it becomes one. lpotdod := add(div(sub(0, lpotdod), lpotdod), 1) } // Shift in bits from prod1 into prod0. prod0 |= prod1 * lpotdod; // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for // four bits. That is, denominator * inv = 1 mod 2^4. uint256 inverse = (3 * denominator) ^ 2; // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works // in modular arithmetic, doubling the correct bits in each step. inverse *= 2 - denominator * inverse; // inverse mod 2^8 inverse *= 2 - denominator * inverse; // inverse mod 2^16 inverse *= 2 - denominator * inverse; // inverse mod 2^32 inverse *= 2 - denominator * inverse; // inverse mod 2^64 inverse *= 2 - denominator * inverse; // inverse mod 2^128 inverse *= 2 - denominator * inverse; // inverse mod 2^256 // Because the division is now exact we can divide by multiplying with the modular inverse of denominator. // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1 // is no longer required. result = prod0 * inverse; return result; } } /// @notice Calculates floor(x*y÷1e18) with full precision. /// /// @dev Variant of "mulDiv" with constant folding, i.e. in which the denominator is always 1e18. Before returning the /// final result, we add 1 if (x * y) % SCALE >= HALF_SCALE. Without this, 6.6e-19 would be truncated to 0 instead of /// being rounded to 1e-18. See "Listing 6" and text above it at https://accu.org/index.php/journals/1717. /// /// Requirements: /// - The result must fit within uint256. /// /// Caveats: /// - The body is purposely left uncommented; see the NatSpec comments in "PRBMath.mulDiv" to understand how this works. /// - It is assumed that the result can never be type(uint256).max when x and y solve the following two equations: /// 1. x * y = type(uint256).max * SCALE /// 2. (x * y) % SCALE >= SCALE / 2 /// /// @param x The multiplicand as an unsigned 60.18-decimal fixed-point number. /// @param y The multiplier as an unsigned 60.18-decimal fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function mulDivFixedPoint(uint256 x, uint256 y) internal pure returns (uint256 result) { uint256 prod0; uint256 prod1; assembly { let mm := mulmod(x, y, not(0)) prod0 := mul(x, y) prod1 := sub(sub(mm, prod0), lt(mm, prod0)) } if (prod1 >= SCALE) { revert PRBMath__MulDivFixedPointOverflow(prod1); } uint256 remainder; uint256 roundUpUnit; assembly { remainder := mulmod(x, y, SCALE) roundUpUnit := gt(remainder, 499999999999999999) } if (prod1 == 0) { unchecked { result = (prod0 / SCALE) + roundUpUnit; return result; } } assembly { result := add( mul( or( div(sub(prod0, remainder), SCALE_LPOTD), mul(sub(prod1, gt(remainder, prod0)), add(div(sub(0, SCALE_LPOTD), SCALE_LPOTD), 1)) ), SCALE_INVERSE ), roundUpUnit ) } } /// @notice Calculates floor(x*y÷denominator) with full precision. /// /// @dev An extension of "mulDiv" for signed numbers. Works by computing the signs and the absolute values separately. /// /// Requirements: /// - None of the inputs can be type(int256).min. /// - The result must fit within int256. /// /// @param x The multiplicand as an int256. /// @param y The multiplier as an int256. /// @param denominator The divisor as an int256. /// @return result The result as an int256. function mulDivSigned( int256 x, int256 y, int256 denominator ) internal pure returns (int256 result) { if (x == type(int256).min || y == type(int256).min || denominator == type(int256).min) { revert PRBMath__MulDivSignedInputTooSmall(); } // Get hold of the absolute values of x, y and the denominator. uint256 ax; uint256 ay; uint256 ad; unchecked { ax = x < 0 ? uint256(-x) : uint256(x); ay = y < 0 ? uint256(-y) : uint256(y); ad = denominator < 0 ? uint256(-denominator) : uint256(denominator); } // Compute the absolute value of (x*y)÷denominator. The result must fit within int256. uint256 rAbs = mulDiv(ax, ay, ad); if (rAbs > uint256(type(int256).max)) { revert PRBMath__MulDivSignedOverflow(rAbs); } // Get the signs of x, y and the denominator. uint256 sx; uint256 sy; uint256 sd; assembly { sx := sgt(x, sub(0, 1)) sy := sgt(y, sub(0, 1)) sd := sgt(denominator, sub(0, 1)) } // XOR over sx, sy and sd. This is checking whether there are one or three negative signs in the inputs. // If yes, the result should be negative. result = sx ^ sy ^ sd == 0 ? -int256(rAbs) : int256(rAbs); } /// @notice Calculates the square root of x, rounding down. /// @dev Uses the Babylonian method https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method. /// /// Caveats: /// - This function does not work with fixed-point numbers. /// /// @param x The uint256 number for which to calculate the square root. /// @return result The result as an uint256. function sqrt(uint256 x) internal pure returns (uint256 result) { if (x == 0) { return 0; } // Set the initial guess to the least power of two that is greater than or equal to sqrt(x). uint256 xAux = uint256(x); result = 1; if (xAux >= 0x100000000000000000000000000000000) { xAux >>= 128; result <<= 64; } if (xAux >= 0x10000000000000000) { xAux >>= 64; result <<= 32; } if (xAux >= 0x100000000) { xAux >>= 32; result <<= 16; } if (xAux >= 0x10000) { xAux >>= 16; result <<= 8; } if (xAux >= 0x100) { xAux >>= 8; result <<= 4; } if (xAux >= 0x10) { xAux >>= 4; result <<= 2; } if (xAux >= 0x8) { result <<= 1; } // The operations can never overflow because the result is max 2^127 when it enters this block. unchecked { result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; // Seven iterations should be enough uint256 roundedDownResult = x / result; return result >= roundedDownResult ? roundedDownResult : result; } } }
// SPDX-License-Identifier: Unlicense pragma solidity >=0.8.4; import "./PRBMath.sol"; /// @title PRBMathUD60x18 /// @author Paul Razvan Berg /// @notice Smart contract library for advanced fixed-point math that works with uint256 numbers considered to have 18 /// trailing decimals. We call this number representation unsigned 60.18-decimal fixed-point, since there can be up to 60 /// digits in the integer part and up to 18 decimals in the fractional part. The numbers are bound by the minimum and the /// maximum values permitted by the Solidity type uint256. library PRBMathUD60x18 { /// @dev Half the SCALE number. uint256 internal constant HALF_SCALE = 5e17; /// @dev log2(e) as an unsigned 60.18-decimal fixed-point number. uint256 internal constant LOG2_E = 1_442695040888963407; /// @dev The maximum value an unsigned 60.18-decimal fixed-point number can have. uint256 internal constant MAX_UD60x18 = 115792089237316195423570985008687907853269984665640564039457_584007913129639935; /// @dev The maximum whole value an unsigned 60.18-decimal fixed-point number can have. uint256 internal constant MAX_WHOLE_UD60x18 = 115792089237316195423570985008687907853269984665640564039457_000000000000000000; /// @dev How many trailing decimals can be represented. uint256 internal constant SCALE = 1e18; /// @notice Calculates the arithmetic average of x and y, rounding down. /// @param x The first operand as an unsigned 60.18-decimal fixed-point number. /// @param y The second operand as an unsigned 60.18-decimal fixed-point number. /// @return result The arithmetic average as an unsigned 60.18-decimal fixed-point number. function avg(uint256 x, uint256 y) internal pure returns (uint256 result) { // The operations can never overflow. unchecked { // The last operand checks if both x and y are odd and if that is the case, we add 1 to the result. We need // to do this because if both numbers are odd, the 0.5 remainder gets truncated twice. result = (x >> 1) + (y >> 1) + (x & y & 1); } } /// @notice Yields the least unsigned 60.18 decimal fixed-point number greater than or equal to x. /// /// @dev Optimized for fractional value inputs, because for every whole value there are (1e18 - 1) fractional counterparts. /// See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions. /// /// Requirements: /// - x must be less than or equal to MAX_WHOLE_UD60x18. /// /// @param x The unsigned 60.18-decimal fixed-point number to ceil. /// @param result The least integer greater than or equal to x, as an unsigned 60.18-decimal fixed-point number. function ceil(uint256 x) internal pure returns (uint256 result) { if (x > MAX_WHOLE_UD60x18) { revert PRBMathUD60x18__CeilOverflow(x); } assembly { // Equivalent to "x % SCALE" but faster. let remainder := mod(x, SCALE) // Equivalent to "SCALE - remainder" but faster. let delta := sub(SCALE, remainder) // Equivalent to "x + delta * (remainder > 0 ? 1 : 0)" but faster. result := add(x, mul(delta, gt(remainder, 0))) } } /// @notice Divides two unsigned 60.18-decimal fixed-point numbers, returning a new unsigned 60.18-decimal fixed-point number. /// /// @dev Uses mulDiv to enable overflow-safe multiplication and division. /// /// Requirements: /// - The denominator cannot be zero. /// /// @param x The numerator as an unsigned 60.18-decimal fixed-point number. /// @param y The denominator as an unsigned 60.18-decimal fixed-point number. /// @param result The quotient as an unsigned 60.18-decimal fixed-point number. function div(uint256 x, uint256 y) internal pure returns (uint256 result) { result = PRBMath.mulDiv(x, SCALE, y); } /// @notice Returns Euler's number as an unsigned 60.18-decimal fixed-point number. /// @dev See https://en.wikipedia.org/wiki/E_(mathematical_constant). function e() internal pure returns (uint256 result) { result = 2_718281828459045235; } /// @notice Calculates the natural exponent of x. /// /// @dev Based on the insight that e^x = 2^(x * log2(e)). /// /// Requirements: /// - All from "log2". /// - x must be less than 133.084258667509499441. /// /// @param x The exponent as an unsigned 60.18-decimal fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function exp(uint256 x) internal pure returns (uint256 result) { // Without this check, the value passed to "exp2" would be greater than 192. if (x >= 133_084258667509499441) { revert PRBMathUD60x18__ExpInputTooBig(x); } // Do the fixed-point multiplication inline to save gas. unchecked { uint256 doubleScaleProduct = x * LOG2_E; result = exp2((doubleScaleProduct + HALF_SCALE) / SCALE); } } /// @notice Calculates the binary exponent of x using the binary fraction method. /// /// @dev See https://ethereum.stackexchange.com/q/79903/24693. /// /// Requirements: /// - x must be 192 or less. /// - The result must fit within MAX_UD60x18. /// /// @param x The exponent as an unsigned 60.18-decimal fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function exp2(uint256 x) internal pure returns (uint256 result) { // 2^192 doesn't fit within the 192.64-bit format used internally in this function. if (x >= 192e18) { revert PRBMathUD60x18__Exp2InputTooBig(x); } unchecked { // Convert x to the 192.64-bit fixed-point format. uint256 x192x64 = (x << 64) / SCALE; // Pass x to the PRBMath.exp2 function, which uses the 192.64-bit fixed-point number representation. result = PRBMath.exp2(x192x64); } } /// @notice Yields the greatest unsigned 60.18 decimal fixed-point number less than or equal to x. /// @dev Optimized for fractional value inputs, because for every whole value there are (1e18 - 1) fractional counterparts. /// See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions. /// @param x The unsigned 60.18-decimal fixed-point number to floor. /// @param result The greatest integer less than or equal to x, as an unsigned 60.18-decimal fixed-point number. function floor(uint256 x) internal pure returns (uint256 result) { assembly { // Equivalent to "x % SCALE" but faster. let remainder := mod(x, SCALE) // Equivalent to "x - remainder * (remainder > 0 ? 1 : 0)" but faster. result := sub(x, mul(remainder, gt(remainder, 0))) } } /// @notice Yields the excess beyond the floor of x. /// @dev Based on the odd function definition https://en.wikipedia.org/wiki/Fractional_part. /// @param x The unsigned 60.18-decimal fixed-point number to get the fractional part of. /// @param result The fractional part of x as an unsigned 60.18-decimal fixed-point number. function frac(uint256 x) internal pure returns (uint256 result) { assembly { result := mod(x, SCALE) } } /// @notice Converts a number from basic integer form to unsigned 60.18-decimal fixed-point representation. /// /// @dev Requirements: /// - x must be less than or equal to MAX_UD60x18 divided by SCALE. /// /// @param x The basic integer to convert. /// @param result The same number in unsigned 60.18-decimal fixed-point representation. function fromUint(uint256 x) internal pure returns (uint256 result) { unchecked { if (x > MAX_UD60x18 / SCALE) { revert PRBMathUD60x18__FromUintOverflow(x); } result = x * SCALE; } } /// @notice Calculates geometric mean of x and y, i.e. sqrt(x * y), rounding down. /// /// @dev Requirements: /// - x * y must fit within MAX_UD60x18, lest it overflows. /// /// @param x The first operand as an unsigned 60.18-decimal fixed-point number. /// @param y The second operand as an unsigned 60.18-decimal fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function gm(uint256 x, uint256 y) internal pure returns (uint256 result) { if (x == 0) { return 0; } unchecked { // Checking for overflow this way is faster than letting Solidity do it. uint256 xy = x * y; if (xy / x != y) { revert PRBMathUD60x18__GmOverflow(x, y); } // We don't need to multiply by the SCALE here because the x*y product had already picked up a factor of SCALE // during multiplication. See the comments within the "sqrt" function. result = PRBMath.sqrt(xy); } } /// @notice Calculates 1 / x, rounding toward zero. /// /// @dev Requirements: /// - x cannot be zero. /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the inverse. /// @return result The inverse as an unsigned 60.18-decimal fixed-point number. function inv(uint256 x) internal pure returns (uint256 result) { unchecked { // 1e36 is SCALE * SCALE. result = 1e36 / x; } } /// @notice Calculates the natural logarithm of x. /// /// @dev Based on the insight that ln(x) = log2(x) / log2(e). /// /// Requirements: /// - All from "log2". /// /// Caveats: /// - All from "log2". /// - This doesn't return exactly 1 for 2.718281828459045235, for that we would need more fine-grained precision. /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the natural logarithm. /// @return result The natural logarithm as an unsigned 60.18-decimal fixed-point number. function ln(uint256 x) internal pure returns (uint256 result) { // Do the fixed-point multiplication inline to save gas. This is overflow-safe because the maximum value that log2(x) // can return is 196205294292027477728. unchecked { result = (log2(x) * SCALE) / LOG2_E; } } /// @notice Calculates the common logarithm of x. /// /// @dev First checks if x is an exact power of ten and it stops if yes. If it's not, calculates the common /// logarithm based on the insight that log10(x) = log2(x) / log2(10). /// /// Requirements: /// - All from "log2". /// /// Caveats: /// - All from "log2". /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the common logarithm. /// @return result The common logarithm as an unsigned 60.18-decimal fixed-point number. function log10(uint256 x) internal pure returns (uint256 result) { if (x < SCALE) { revert PRBMathUD60x18__LogInputTooSmall(x); } // Note that the "mul" in this block is the assembly multiplication operation, not the "mul" function defined // in this contract. // prettier-ignore assembly { switch x case 1 { result := mul(SCALE, sub(0, 18)) } case 10 { result := mul(SCALE, sub(1, 18)) } case 100 { result := mul(SCALE, sub(2, 18)) } case 1000 { result := mul(SCALE, sub(3, 18)) } case 10000 { result := mul(SCALE, sub(4, 18)) } case 100000 { result := mul(SCALE, sub(5, 18)) } case 1000000 { result := mul(SCALE, sub(6, 18)) } case 10000000 { result := mul(SCALE, sub(7, 18)) } case 100000000 { result := mul(SCALE, sub(8, 18)) } case 1000000000 { result := mul(SCALE, sub(9, 18)) } case 10000000000 { result := mul(SCALE, sub(10, 18)) } case 100000000000 { result := mul(SCALE, sub(11, 18)) } case 1000000000000 { result := mul(SCALE, sub(12, 18)) } case 10000000000000 { result := mul(SCALE, sub(13, 18)) } case 100000000000000 { result := mul(SCALE, sub(14, 18)) } case 1000000000000000 { result := mul(SCALE, sub(15, 18)) } case 10000000000000000 { result := mul(SCALE, sub(16, 18)) } case 100000000000000000 { result := mul(SCALE, sub(17, 18)) } case 1000000000000000000 { result := 0 } case 10000000000000000000 { result := SCALE } case 100000000000000000000 { result := mul(SCALE, 2) } case 1000000000000000000000 { result := mul(SCALE, 3) } case 10000000000000000000000 { result := mul(SCALE, 4) } case 100000000000000000000000 { result := mul(SCALE, 5) } case 1000000000000000000000000 { result := mul(SCALE, 6) } case 10000000000000000000000000 { result := mul(SCALE, 7) } case 100000000000000000000000000 { result := mul(SCALE, 8) } case 1000000000000000000000000000 { result := mul(SCALE, 9) } case 10000000000000000000000000000 { result := mul(SCALE, 10) } case 100000000000000000000000000000 { result := mul(SCALE, 11) } case 1000000000000000000000000000000 { result := mul(SCALE, 12) } case 10000000000000000000000000000000 { result := mul(SCALE, 13) } case 100000000000000000000000000000000 { result := mul(SCALE, 14) } case 1000000000000000000000000000000000 { result := mul(SCALE, 15) } case 10000000000000000000000000000000000 { result := mul(SCALE, 16) } case 100000000000000000000000000000000000 { result := mul(SCALE, 17) } case 1000000000000000000000000000000000000 { result := mul(SCALE, 18) } case 10000000000000000000000000000000000000 { result := mul(SCALE, 19) } case 100000000000000000000000000000000000000 { result := mul(SCALE, 20) } case 1000000000000000000000000000000000000000 { result := mul(SCALE, 21) } case 10000000000000000000000000000000000000000 { result := mul(SCALE, 22) } case 100000000000000000000000000000000000000000 { result := mul(SCALE, 23) } case 1000000000000000000000000000000000000000000 { result := mul(SCALE, 24) } case 10000000000000000000000000000000000000000000 { result := mul(SCALE, 25) } case 100000000000000000000000000000000000000000000 { result := mul(SCALE, 26) } case 1000000000000000000000000000000000000000000000 { result := mul(SCALE, 27) } case 10000000000000000000000000000000000000000000000 { result := mul(SCALE, 28) } case 100000000000000000000000000000000000000000000000 { result := mul(SCALE, 29) } case 1000000000000000000000000000000000000000000000000 { result := mul(SCALE, 30) } case 10000000000000000000000000000000000000000000000000 { result := mul(SCALE, 31) } case 100000000000000000000000000000000000000000000000000 { result := mul(SCALE, 32) } case 1000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 33) } case 10000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 34) } case 100000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 35) } case 1000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 36) } case 10000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 37) } case 100000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 38) } case 1000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 39) } case 10000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 40) } case 100000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 41) } case 1000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 42) } case 10000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 43) } case 100000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 44) } case 1000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 45) } case 10000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 46) } case 100000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 47) } case 1000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 48) } case 10000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 49) } case 100000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 50) } case 1000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 51) } case 10000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 52) } case 100000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 53) } case 1000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 54) } case 10000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 55) } case 100000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 56) } case 1000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 57) } case 10000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 58) } case 100000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 59) } default { result := MAX_UD60x18 } } if (result == MAX_UD60x18) { // Do the fixed-point division inline to save gas. The denominator is log2(10). unchecked { result = (log2(x) * SCALE) / 3_321928094887362347; } } } /// @notice Calculates the binary logarithm of x. /// /// @dev Based on the iterative approximation algorithm. /// https://en.wikipedia.org/wiki/Binary_logarithm#Iterative_approximation /// /// Requirements: /// - x must be greater than or equal to SCALE, otherwise the result would be negative. /// /// Caveats: /// - The results are nor perfectly accurate to the last decimal, due to the lossy precision of the iterative approximation. /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the binary logarithm. /// @return result The binary logarithm as an unsigned 60.18-decimal fixed-point number. function log2(uint256 x) internal pure returns (uint256 result) { if (x < SCALE) { revert PRBMathUD60x18__LogInputTooSmall(x); } unchecked { // Calculate the integer part of the logarithm and add it to the result and finally calculate y = x * 2^(-n). uint256 n = PRBMath.mostSignificantBit(x / SCALE); // The integer part of the logarithm as an unsigned 60.18-decimal fixed-point number. The operation can't overflow // because n is maximum 255 and SCALE is 1e18. result = n * SCALE; // This is y = x * 2^(-n). uint256 y = x >> n; // If y = 1, the fractional part is zero. if (y == SCALE) { return result; } // Calculate the fractional part via the iterative approximation. // The "delta >>= 1" part is equivalent to "delta /= 2", but shifting bits is faster. for (uint256 delta = HALF_SCALE; delta > 0; delta >>= 1) { y = (y * y) / SCALE; // Is y^2 > 2 and so in the range [2,4)? if (y >= 2 * SCALE) { // Add the 2^(-m) factor to the logarithm. result += delta; // Corresponds to z/2 on Wikipedia. y >>= 1; } } } } /// @notice Multiplies two unsigned 60.18-decimal fixed-point numbers together, returning a new unsigned 60.18-decimal /// fixed-point number. /// @dev See the documentation for the "PRBMath.mulDivFixedPoint" function. /// @param x The multiplicand as an unsigned 60.18-decimal fixed-point number. /// @param y The multiplier as an unsigned 60.18-decimal fixed-point number. /// @return result The product as an unsigned 60.18-decimal fixed-point number. function mul(uint256 x, uint256 y) internal pure returns (uint256 result) { result = PRBMath.mulDivFixedPoint(x, y); } /// @notice Returns PI as an unsigned 60.18-decimal fixed-point number. function pi() internal pure returns (uint256 result) { result = 3_141592653589793238; } /// @notice Raises x to the power of y. /// /// @dev Based on the insight that x^y = 2^(log2(x) * y). /// /// Requirements: /// - All from "exp2", "log2" and "mul". /// /// Caveats: /// - All from "exp2", "log2" and "mul". /// - Assumes 0^0 is 1. /// /// @param x Number to raise to given power y, as an unsigned 60.18-decimal fixed-point number. /// @param y Exponent to raise x to, as an unsigned 60.18-decimal fixed-point number. /// @return result x raised to power y, as an unsigned 60.18-decimal fixed-point number. function pow(uint256 x, uint256 y) internal pure returns (uint256 result) { if (x == 0) { result = y == 0 ? SCALE : uint256(0); } else { result = exp2(mul(log2(x), y)); } } /// @notice Raises x (unsigned 60.18-decimal fixed-point number) to the power of y (basic unsigned integer) using the /// famous algorithm "exponentiation by squaring". /// /// @dev See https://en.wikipedia.org/wiki/Exponentiation_by_squaring /// /// Requirements: /// - The result must fit within MAX_UD60x18. /// /// Caveats: /// - All from "mul". /// - Assumes 0^0 is 1. /// /// @param x The base as an unsigned 60.18-decimal fixed-point number. /// @param y The exponent as an uint256. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function powu(uint256 x, uint256 y) internal pure returns (uint256 result) { // Calculate the first iteration of the loop in advance. result = y & 1 > 0 ? x : SCALE; // Equivalent to "for(y /= 2; y > 0; y /= 2)" but faster. for (y >>= 1; y > 0; y >>= 1) { x = PRBMath.mulDivFixedPoint(x, x); // Equivalent to "y % 2 == 1" but faster. if (y & 1 > 0) { result = PRBMath.mulDivFixedPoint(result, x); } } } /// @notice Returns 1 as an unsigned 60.18-decimal fixed-point number. function scale() internal pure returns (uint256 result) { result = SCALE; } /// @notice Calculates the square root of x, rounding down. /// @dev Uses the Babylonian method https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method. /// /// Requirements: /// - x must be less than MAX_UD60x18 / SCALE. /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the square root. /// @return result The result as an unsigned 60.18-decimal fixed-point . function sqrt(uint256 x) internal pure returns (uint256 result) { unchecked { if (x > MAX_UD60x18 / SCALE) { revert PRBMathUD60x18__SqrtOverflow(x); } // Multiply x by the SCALE to account for the factor of SCALE that is picked up when multiplying two unsigned // 60.18-decimal fixed-point numbers together (in this case, those two numbers are both the square root). result = PRBMath.sqrt(x * SCALE); } } /// @notice Converts a unsigned 60.18-decimal fixed-point number to basic integer form, rounding down in the process. /// @param x The unsigned 60.18-decimal fixed-point number to convert. /// @return result The same number in basic integer form. function toUint(uint256 x) internal pure returns (uint256 result) { unchecked { result = x / SCALE; } } }
{ "optimizer": { "enabled": true, "runs": 10000 }, "outputSelection": { "*": { "*": [ "evm.bytecode", "evm.deployedBytecode", "devdoc", "userdoc", "metadata", "abi" ] } }, "metadata": { "useLiteralContent": true }, "libraries": {} }
Contract Security Audit
- No Contract Security Audit Submitted- Submit Audit Here
[{"inputs":[{"internalType":"contract IERC20","name":"mav_","type":"address"}],"stateMutability":"nonpayable","type":"constructor"},{"inputs":[],"name":"InvalidShortString","type":"error"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"}],"name":"PRBMathUD60x18__Exp2InputTooBig","type":"error"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"}],"name":"PRBMathUD60x18__LogInputTooSmall","type":"error"},{"inputs":[{"internalType":"uint256","name":"prod1","type":"uint256"}],"name":"PRBMath__MulDivFixedPointOverflow","type":"error"},{"inputs":[{"internalType":"string","name":"str","type":"string"}],"name":"StringTooLong","type":"error"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"owner","type":"address"},{"indexed":true,"internalType":"address","name":"spender","type":"address"},{"indexed":false,"internalType":"uint256","name":"value","type":"uint256"}],"name":"Approval","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"delegator","type":"address"},{"indexed":true,"internalType":"address","name":"fromDelegate","type":"address"},{"indexed":true,"internalType":"address","name":"toDelegate","type":"address"}],"name":"DelegateChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"delegate","type":"address"},{"indexed":false,"internalType":"uint256","name":"previousBalance","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"newBalance","type":"uint256"}],"name":"DelegateVotesChanged","type":"event"},{"anonymous":false,"inputs":[],"name":"EIP712DomainChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"user","type":"address"},{"indexed":false,"internalType":"uint256","name":"lockupId","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"amount","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"end","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"points","type":"uint256"}],"name":"Stake","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"from","type":"address"},{"indexed":true,"internalType":"address","name":"to","type":"address"},{"indexed":false,"internalType":"uint256","name":"value","type":"uint256"}],"name":"Transfer","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"user","type":"address"},{"indexed":false,"internalType":"uint256","name":"lockupId","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"amount","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"end","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"points","type":"uint256"}],"name":"Unstake","type":"event"},{"inputs":[],"name":"CLOCK_MODE","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"DOMAIN_SEPARATOR","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"YEAR_BASE","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"},{"internalType":"address","name":"spender","type":"address"}],"name":"allowance","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"approve","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"balanceOf","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"uint32","name":"pos","type":"uint32"}],"name":"checkpoints","outputs":[{"components":[{"internalType":"uint32","name":"fromBlock","type":"uint32"},{"internalType":"uint224","name":"votes","type":"uint224"}],"internalType":"struct ERC20Votes.Checkpoint","name":"","type":"tuple"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"clock","outputs":[{"internalType":"uint48","name":"","type":"uint48"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"decimals","outputs":[{"internalType":"uint8","name":"","type":"uint8"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"subtractedValue","type":"uint256"}],"name":"decreaseAllowance","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"delegatee","type":"address"}],"name":"delegate","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"delegatee","type":"address"},{"internalType":"uint256","name":"nonce","type":"uint256"},{"internalType":"uint256","name":"expiry","type":"uint256"},{"internalType":"uint8","name":"v","type":"uint8"},{"internalType":"bytes32","name":"r","type":"bytes32"},{"internalType":"bytes32","name":"s","type":"bytes32"}],"name":"delegateBySig","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"delegates","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"eip712Domain","outputs":[{"internalType":"bytes1","name":"fields","type":"bytes1"},{"internalType":"string","name":"name","type":"string"},{"internalType":"string","name":"version","type":"string"},{"internalType":"uint256","name":"chainId","type":"uint256"},{"internalType":"address","name":"verifyingContract","type":"address"},{"internalType":"bytes32","name":"salt","type":"bytes32"},{"internalType":"uint256[]","name":"extensions","type":"uint256[]"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"epoch","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"lockupId","type":"uint256"},{"internalType":"uint256","name":"duration","type":"uint256"},{"internalType":"uint256","name":"amount","type":"uint256"},{"internalType":"bool","name":"doDelegation","type":"bool"}],"name":"extend","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"timepoint","type":"uint256"}],"name":"getPastTotalSupply","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"uint256","name":"timepoint","type":"uint256"}],"name":"getPastVotes","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"getVotes","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"addedValue","type":"uint256"}],"name":"increaseAllowance","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"staker","type":"address"}],"name":"lockupCount","outputs":[{"internalType":"uint256","name":"count","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"","type":"address"},{"internalType":"uint256","name":"","type":"uint256"}],"name":"lockups","outputs":[{"internalType":"uint128","name":"amount","type":"uint128"},{"internalType":"uint128","name":"end","type":"uint128"},{"internalType":"uint256","name":"points","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"mav","outputs":[{"internalType":"contract IERC20","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"maxStakeDuration","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"minStakeDuration","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"name","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"}],"name":"nonces","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"numCheckpoints","outputs":[{"internalType":"uint32","name":"","type":"uint32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"},{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"value","type":"uint256"},{"internalType":"uint256","name":"deadline","type":"uint256"},{"internalType":"uint8","name":"v","type":"uint8"},{"internalType":"bytes32","name":"r","type":"bytes32"},{"internalType":"bytes32","name":"s","type":"bytes32"}],"name":"permit","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"amount","type":"uint256"},{"internalType":"uint256","name":"duration","type":"uint256"}],"name":"previewPoints","outputs":[{"internalType":"uint256","name":"","type":"uint256"},{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"amount","type":"uint256"},{"internalType":"uint256","name":"duration","type":"uint256"},{"internalType":"bool","name":"doDelegation","type":"bool"}],"name":"stake","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"amount","type":"uint256"},{"internalType":"uint256","name":"duration","type":"uint256"},{"internalType":"address","name":"to","type":"address"}],"name":"stake","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"symbol","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"totalSupply","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"","type":"address"},{"internalType":"uint256","name":"","type":"uint256"}],"name":"transfer","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"address","name":"","type":"address"},{"internalType":"address","name":"","type":"address"},{"internalType":"uint256","name":"","type":"uint256"}],"name":"transferFrom","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"uint256","name":"lockupId","type":"uint256"}],"name":"unstake","outputs":[],"stateMutability":"nonpayable","type":"function"}]
Contract Creation Code
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Constructor Arguments (ABI-Encoded and is the last bytes of the Contract Creation Code above)
0000000000000000000000007448c7456a97769f6cd04f1e83a4a23ccdc46abd
-----Decoded View---------------
Arg [0] : mav_ (address): 0x7448c7456a97769F6cD04F1E83A4a23cCdC46aBD
-----Encoded View---------------
1 Constructor Arguments found :
Arg [0] : 0000000000000000000000007448c7456a97769f6cd04f1e83a4a23ccdc46abd
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