Contract Source Code:
<i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.26;
import {IERC721} from "@openzeppelin/contracts/token/ERC721/IERC721.sol";
import {IERC721Receiver} from "@openzeppelin/contracts/token/ERC721/IERC721Receiver.sol";
import {Ownable} from "@openzeppelin/contracts/access/Ownable.sol";
import {ReentrancyGuard} from "@openzeppelin/contracts/utils/ReentrancyGuard.sol";
import {ECDSA} from "@openzeppelin/contracts/utils/cryptography/ECDSA.sol";
import {MessageHashUtils} from "@openzeppelin/contracts/utils/cryptography/MessageHashUtils.sol";
interface IAshToken {
function mint(address to, uint256 amount) external;
}
contract NFTVault is IERC721Receiver, Ownable, ReentrancyGuard {
using ECDSA for bytes32;
using MessageHashUtils for bytes32;
struct Deposit {
address depositor;
uint64 timestamp;
uint128 ashMinted; // [H1/M4] stores exact wei amount, no division
}
IAshToken public immutable ashToken;
address public signer;
uint256 public baseAsh = 100 ether;
uint256 public maxBonusAsh = 9900 ether;
// [M2] Upper bound for base/bonus to prevent overflow/abuse
uint256 public constant MAX_ASH_SETTING = 1_000_000 ether;
// Collections deployed before this date get full bonus (Jan 1 2021)
uint256 public oldestEpoch = 1609459200;
// [C1] Hard cutoff — collections deployed on or after this get zero ASH
uint256 public immutable cutoffTimestamp;
mapping(address => uint256) public collectionDeployTime;
// [H2] Nonce per collection for signature replay protection
mapping(address => uint256) public collectionNonce;
mapping(address => mapping(uint256 => Deposit)) public deposits;
mapping(address => uint256) public burnCount;
uint256 public totalBurned;
address public marketplace;
// ── Events ──
event NFTBurned(address indexed depositor, address indexed collection, uint256 tokenId, uint256 ashAmount);
event NFTWithdrawn(address indexed collection, uint256 tokenId, address indexed to);
event CollectionRegistered(address indexed collection, uint256 deployTime);
// [L1] Admin events
event SignerUpdated(address indexed oldSigner, address indexed newSigner);
event BaseAshUpdated(uint256 oldValue, uint256 newValue);
event MaxBonusAshUpdated(uint256 oldValue, uint256 newValue);
event OldestEpochUpdated(uint256 oldValue, uint256 newValue);
event MarketplaceUpdated(address indexed oldMarketplace, address indexed newMarketplace);
// ── Errors ──
error NotMarketplace();
error MarketplaceNotConfigured();
error AlreadyDeposited();
error CollectionNotRegistered();
error CollectionTooNew();
error InvalidSignature();
error AlreadyRegistered();
error AshAmountOverflow();
constructor(address _ashToken, address _signer) Ownable(msg.sender) {
require(_signer != address(0), "Invalid signer address"); // [M1]
require(_ashToken != address(0), "Invalid ash token address");
ashToken = IAshToken(_ashToken);
signer = _signer;
cutoffTimestamp = block.timestamp;
// [C1] Validate oldestEpoch < cutoffTimestamp (guaranteed since
// 1609459200 < any current block.timestamp)
}
// ──────────────────────────────────────────────
// Collection Registration
// ──────────────────────────────────────────────
/// @notice Permissionless registration with backend signature.
/// [H2] Includes nonce + chainId to prevent replay.
function registerCollection(
address collection,
uint256 deployTime,
bytes calldata signature
) external {
if (collectionDeployTime[collection] != 0) revert AlreadyRegistered();
if (deployTime >= cutoffTimestamp) revert CollectionTooNew();
uint256 nonce = collectionNonce[collection];
// [H2] Signature includes nonce + chainId for replay protection
bytes32 hash = keccak256(
abi.encodePacked(collection, deployTime, address(this), nonce, block.chainid)
).toEthSignedMessageHash();
if (hash.recover(signature) != signer) revert InvalidSignature();
collectionNonce[collection]++;
collectionDeployTime[collection] = deployTime;
emit CollectionRegistered(collection, deployTime);
}
/// @notice Owner registration — [M5] prevents overwriting
function ownerRegisterCollection(address collection, uint256 deployTime) external onlyOwner {
if (collectionDeployTime[collection] != 0) revert AlreadyRegistered(); // [M5]
if (deployTime >= cutoffTimestamp) revert CollectionTooNew();
collectionDeployTime[collection] = deployTime;
emit CollectionRegistered(collection, deployTime);
}
/// @notice Batch owner registration — [M5] prevents overwriting
function ownerRegisterCollections(
address[] calldata collections,
uint256[] calldata deployTimes
) external onlyOwner {
for (uint256 i = 0; i < collections.length; i++) {
if (collectionDeployTime[collections[i]] != 0) revert AlreadyRegistered(); // [M5]
if (deployTimes[i] >= cutoffTimestamp) revert CollectionTooNew();
collectionDeployTime[collections[i]] = deployTimes[i];
emit CollectionRegistered(collections[i], deployTimes[i]);
}
}
// ──────────────────────────────────────────────
// ASH Calculation
// ──────────────────────────────────────────────
function calculateAsh(address collection) public view returns (uint256) {
uint256 deployTime = collectionDeployTime[collection];
if (deployTime == 0) revert CollectionNotRegistered();
if (deployTime <= oldestEpoch) {
return baseAsh + maxBonusAsh;
}
// [C1] Defensive guard against division by zero
uint256 timeRange = cutoffTimestamp - oldestEpoch;
if (timeRange == 0) {
return baseAsh + maxBonusAsh;
}
uint256 age = cutoffTimestamp - deployTime;
uint256 bonus = (maxBonusAsh * age) / timeRange;
return baseAsh + bonus;
}
// ──────────────────────────────────────────────
// NFT Reception
// ──────────────────────────────────────────────
/// @notice [C2/C3] Called by safeTransferFrom. During batchBurn, the
/// nonReentrant guard on batchBurn already protects us, so
/// onERC721Received just returns the selector (state handled by batchBurn).
/// For single burns (direct safeTransferFrom), full logic runs here.
function onERC721Received(
address,
address from,
uint256 tokenId,
bytes calldata
) external override returns (bytes4) {
address collection = msg.sender;
// If deposit already recorded (by batchBurn), skip — just accept the NFT
if (deposits[collection][tokenId].depositor != address(0)) {
return IERC721Receiver.onERC721Received.selector;
}
// Single burn path (user called safeTransferFrom directly)
// [C2] Whitelist check
if (collectionDeployTime[collection] == 0) revert CollectionNotRegistered();
uint256 ashAmount = calculateAsh(collection);
if (ashAmount > type(uint128).max) revert AshAmountOverflow();
deposits[collection][tokenId] = Deposit({
depositor: from,
timestamp: uint64(block.timestamp),
ashMinted: uint128(ashAmount)
});
burnCount[from]++;
totalBurned++;
ashToken.mint(from, ashAmount);
emit NFTBurned(from, collection, tokenId, ashAmount);
return IERC721Receiver.onERC721Received.selector;
}
/// @notice [C3/H3] Batch burn with nonReentrant, no _batchBurning flag.
/// State updates before external safeTransferFrom calls.
function batchBurn(
address[] calldata collections,
uint256[] calldata tokenIds
) external nonReentrant {
require(collections.length == tokenIds.length, "Length mismatch");
uint256 totalAsh = 0;
for (uint256 i = 0; i < collections.length; i++) {
address collection = collections[i];
uint256 tokenId = tokenIds[i];
// [C2] Whitelist check
if (collectionDeployTime[collection] == 0) revert CollectionNotRegistered();
if (deposits[collection][tokenId].depositor != address(0)) {
revert AlreadyDeposited();
}
uint256 ashAmount = calculateAsh(collection);
if (ashAmount > type(uint128).max) revert AshAmountOverflow();
// [H3] State updates BEFORE external call
deposits[collection][tokenId] = Deposit({
depositor: msg.sender,
timestamp: uint64(block.timestamp),
ashMinted: uint128(ashAmount)
});
burnCount[msg.sender]++;
totalBurned++;
totalAsh += ashAmount;
emit NFTBurned(msg.sender, collection, tokenId, ashAmount);
// External call after state is consistent
IERC721(collection).safeTransferFrom(msg.sender, address(this), tokenId);
}
if (totalAsh > 0) {
ashToken.mint(msg.sender, totalAsh);
}
}
// ──────────────────────────────────────────────
// Marketplace (dumpster diving)
// ──────────────────────────────────────────────
function withdrawNFT(
address collection,
uint256 tokenId,
address to
) external {
if (msg.sender != marketplace) revert NotMarketplace();
// [H4] Validate marketplace is actually configured
if (marketplace == address(0)) revert MarketplaceNotConfigured();
IERC721(collection).safeTransferFrom(address(this), to, tokenId);
emit NFTWithdrawn(collection, tokenId, to);
}
// ──────────────────────────────────────────────
// Admin
// ──────────────────────────────────────────────
function setSigner(address _signer) external onlyOwner {
require(_signer != address(0), "Invalid signer address"); // [M1]
emit SignerUpdated(signer, _signer);
signer = _signer;
}
function setBaseAsh(uint256 _amount) external onlyOwner {
require(_amount <= MAX_ASH_SETTING, "Amount too large"); // [M2]
emit BaseAshUpdated(baseAsh, _amount);
baseAsh = _amount;
}
function setMaxBonusAsh(uint256 _amount) external onlyOwner {
require(_amount <= MAX_ASH_SETTING, "Amount too large"); // [M2]
emit MaxBonusAshUpdated(maxBonusAsh, _amount);
maxBonusAsh = _amount;
}
function setOldestEpoch(uint256 _epoch) external onlyOwner {
require(_epoch <= block.timestamp, "Epoch must be in the past"); // [M3]
require(_epoch < cutoffTimestamp, "Epoch must be before cutoff"); // [C1/M3]
emit OldestEpochUpdated(oldestEpoch, _epoch);
oldestEpoch = _epoch;
}
function setMarketplace(address _marketplace) external onlyOwner {
require(_marketplace != address(0), "Invalid marketplace address"); // [H4]
emit MarketplaceUpdated(marketplace, _marketplace);
marketplace = _marketplace;
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.4.0) (token/ERC721/IERC721.sol)
pragma solidity >=0.6.2;
import {IERC165} from "../../utils/introspection/IERC165.sol";
/**
* @dev Required interface of an ERC-721 compliant contract.
*/
interface IERC721 is IERC165 {
/**
* @dev Emitted when `tokenId` token is transferred from `from` to `to`.
*/
event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);
/**
* @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
*/
event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);
/**
* @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
*/
event ApprovalForAll(address indexed owner, address indexed operator, bool approved);
/**
* @dev Returns the number of tokens in ``owner``'s account.
*/
function balanceOf(address owner) external view returns (uint256 balance);
/**
* @dev Returns the owner of the `tokenId` token.
*
* Requirements:
*
* - `tokenId` must exist.
*/
function ownerOf(uint256 tokenId) external view returns (address owner);
/**
* @dev Safely transfers `tokenId` token from `from` to `to`.
*
* Requirements:
*
* - `from` cannot be the zero address.
* - `to` cannot be the zero address.
* - `tokenId` token must exist and be owned by `from`.
* - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
* - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon
* a safe transfer.
*
* Emits a {Transfer} event.
*/
function safeTransferFrom(address from, address to, uint256 tokenId, bytes calldata data) external;
/**
* @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
* are aware of the ERC-721 protocol to prevent tokens from being forever locked.
*
* Requirements:
*
* - `from` cannot be the zero address.
* - `to` cannot be the zero address.
* - `tokenId` token must exist and be owned by `from`.
* - If the caller is not `from`, it must have been allowed to move this token by either {approve} or
* {setApprovalForAll}.
* - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon
* a safe transfer.
*
* Emits a {Transfer} event.
*/
function safeTransferFrom(address from, address to, uint256 tokenId) external;
/**
* @dev Transfers `tokenId` token from `from` to `to`.
*
* WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC-721
* or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
* understand this adds an external call which potentially creates a reentrancy vulnerability.
*
* Requirements:
*
* - `from` cannot be the zero address.
* - `to` cannot be the zero address.
* - `tokenId` token must be owned by `from`.
* - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
*
* Emits a {Transfer} event.
*/
function transferFrom(address from, address to, uint256 tokenId) external;
/**
* @dev Gives permission to `to` to transfer `tokenId` token to another account.
* The approval is cleared when the token is transferred.
*
* Only a single account can be approved at a time, so approving the zero address clears previous approvals.
*
* Requirements:
*
* - The caller must own the token or be an approved operator.
* - `tokenId` must exist.
*
* Emits an {Approval} event.
*/
function approve(address to, uint256 tokenId) external;
/**
* @dev Approve or remove `operator` as an operator for the caller.
* Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
*
* Requirements:
*
* - The `operator` cannot be the address zero.
*
* Emits an {ApprovalForAll} event.
*/
function setApprovalForAll(address operator, bool approved) external;
/**
* @dev Returns the account approved for `tokenId` token.
*
* Requirements:
*
* - `tokenId` must exist.
*/
function getApproved(uint256 tokenId) external view returns (address operator);
/**
* @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
*
* See {setApprovalForAll}
*/
function isApprovedForAll(address owner, address operator) external view returns (bool);
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.4.0) (token/ERC721/IERC721Receiver.sol)
pragma solidity >=0.5.0;
/**
* @title ERC-721 token receiver interface
* @dev Interface for any contract that wants to support safeTransfers
* from ERC-721 asset contracts.
*/
interface IERC721Receiver {
/**
* @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
* by `operator` from `from`, this function is called.
*
* It must return its Solidity selector to confirm the token transfer.
* If any other value is returned or the interface is not implemented by the recipient, the transfer will be
* reverted.
*
* The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.
*/
function onERC721Received(
address operator,
address from,
uint256 tokenId,
bytes calldata data
) external returns (bytes4);
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.0) (access/Ownable.sol)
pragma solidity ^0.8.20;
import {Context} from "../utils/Context.sol";
/**
* @dev Contract module which provides a basic access control mechanism, where
* there is an account (an owner) that can be granted exclusive access to
* specific functions.
*
* The initial owner is set to the address provided by the deployer. This can
* later be changed with {transferOwnership}.
*
* This module is used through inheritance. It will make available the modifier
* `onlyOwner`, which can be applied to your functions to restrict their use to
* the owner.
*/
abstract contract Ownable is Context {
address private _owner;
/**
* @dev The caller account is not authorized to perform an operation.
*/
error OwnableUnauthorizedAccount(address account);
/**
* @dev The owner is not a valid owner account. (eg. `address(0)`)
*/
error OwnableInvalidOwner(address owner);
event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);
/**
* @dev Initializes the contract setting the address provided by the deployer as the initial owner.
*/
constructor(address initialOwner) {
if (initialOwner == address(0)) {
revert OwnableInvalidOwner(address(0));
}
_transferOwnership(initialOwner);
}
/**
* @dev Throws if called by any account other than the owner.
*/
modifier onlyOwner() {
_checkOwner();
_;
}
/**
* @dev Returns the address of the current owner.
*/
function owner() public view virtual returns (address) {
return _owner;
}
/**
* @dev Throws if the sender is not the owner.
*/
function _checkOwner() internal view virtual {
if (owner() != _msgSender()) {
revert OwnableUnauthorizedAccount(_msgSender());
}
}
/**
* @dev Leaves the contract without owner. It will not be possible to call
* `onlyOwner` functions. Can only be called by the current owner.
*
* NOTE: Renouncing ownership will leave the contract without an owner,
* thereby disabling any functionality that is only available to the owner.
*/
function renounceOwnership() public virtual onlyOwner {
_transferOwnership(address(0));
}
/**
* @dev Transfers ownership of the contract to a new account (`newOwner`).
* Can only be called by the current owner.
*/
function transferOwnership(address newOwner) public virtual onlyOwner {
if (newOwner == address(0)) {
revert OwnableInvalidOwner(address(0));
}
_transferOwnership(newOwner);
}
/**
* @dev Transfers ownership of the contract to a new account (`newOwner`).
* Internal function without access restriction.
*/
function _transferOwnership(address newOwner) internal virtual {
address oldOwner = _owner;
_owner = newOwner;
emit OwnershipTransferred(oldOwner, newOwner);
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.5.0) (utils/ReentrancyGuard.sol)
pragma solidity ^0.8.20;
import {StorageSlot} from "./StorageSlot.sol";
/**
* @dev Contract module that helps prevent reentrant calls to a function.
*
* Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
* available, which can be applied to functions to make sure there are no nested
* (reentrant) calls to them.
*
* Note that because there is a single `nonReentrant` guard, functions marked as
* `nonReentrant` may not call one another. This can be worked around by making
* those functions `private`, and then adding `external` `nonReentrant` entry
* points to them.
*
* TIP: If EIP-1153 (transient storage) is available on the chain you're deploying at,
* consider using {ReentrancyGuardTransient} instead.
*
* TIP: If you would like to learn more about reentrancy and alternative ways
* to protect against it, check out our blog post
* https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
*
* IMPORTANT: Deprecated. This storage-based reentrancy guard will be removed and replaced
* by the {ReentrancyGuardTransient} variant in v6.0.
*
* @custom:stateless
*/
abstract contract ReentrancyGuard {
using StorageSlot for bytes32;
// keccak256(abi.encode(uint256(keccak256("openzeppelin.storage.ReentrancyGuard")) - 1)) & ~bytes32(uint256(0xff))
bytes32 private constant REENTRANCY_GUARD_STORAGE =
0x9b779b17422d0df92223018b32b4d1fa46e071723d6817e2486d003becc55f00;
// 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;
/**
* @dev Unauthorized reentrant call.
*/
error ReentrancyGuardReentrantCall();
constructor() {
_reentrancyGuardStorageSlot().getUint256Slot().value = 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();
}
/**
* @dev A `view` only version of {nonReentrant}. Use to block view functions
* from being called, preventing reading from inconsistent contract state.
*
* CAUTION: This is a "view" modifier and does not change the reentrancy
* status. Use it only on view functions. For payable or non-payable functions,
* use the standard {nonReentrant} modifier instead.
*/
modifier nonReentrantView() {
_nonReentrantBeforeView();
_;
}
function _nonReentrantBeforeView() private view {
if (_reentrancyGuardEntered()) {
revert ReentrancyGuardReentrantCall();
}
}
function _nonReentrantBefore() private {
// On the first call to nonReentrant, _status will be NOT_ENTERED
_nonReentrantBeforeView();
// Any calls to nonReentrant after this point will fail
_reentrancyGuardStorageSlot().getUint256Slot().value = ENTERED;
}
function _nonReentrantAfter() private {
// By storing the original value once again, a refund is triggered (see
// https://eips.ethereum.org/EIPS/eip-2200)
_reentrancyGuardStorageSlot().getUint256Slot().value = 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 _reentrancyGuardStorageSlot().getUint256Slot().value == ENTERED;
}
function _reentrancyGuardStorageSlot() internal pure virtual returns (bytes32) {
return REENTRANCY_GUARD_STORAGE;
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.6.0) (utils/cryptography/ECDSA.sol)
pragma solidity ^0.8.20;
/**
* @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
*
* These functions can be used to verify that a message was signed by the holder
* of the private keys of a given address.
*/
library ECDSA {
enum RecoverError {
NoError,
InvalidSignature,
InvalidSignatureLength,
InvalidSignatureS
}
/**
* @dev The signature is invalid.
*/
error ECDSAInvalidSignature();
/**
* @dev The signature has an invalid length.
*/
error ECDSAInvalidSignatureLength(uint256 length);
/**
* @dev The signature has an S value that is in the upper half order.
*/
error ECDSAInvalidSignatureS(bytes32 s);
/**
* @dev Returns the address that signed a hashed message (`hash`) with `signature` or an error. This will not
* return address(0) without also returning an error description. Errors are documented using an enum (error type)
* and a bytes32 providing additional information about the error.
*
* If no error is returned, then the address can be used for verification purposes.
*
* The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
* this function rejects them by requiring the `s` value to be in the lower
* half order, and the `v` value to be either 27 or 28.
*
* NOTE: This function only supports 65-byte signatures. ERC-2098 short signatures are rejected. This restriction
* is DEPRECATED and will be removed in v6.0. Developers SHOULD NOT use signatures as unique identifiers; use hash
* invalidation or nonces for replay protection.
*
* IMPORTANT: `hash` _must_ be the result of a hash operation for the
* verification to be secure: it is possible to craft signatures that
* recover to arbitrary addresses for non-hashed data. A safe way to ensure
* this is by receiving a hash of the original message (which may otherwise
* be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
*
* Documentation for signature generation:
*
* - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
* - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
*/
function tryRecover(
bytes32 hash,
bytes memory signature
) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
if (signature.length == 65) {
bytes32 r;
bytes32 s;
uint8 v;
// ecrecover takes the signature parameters, and the only way to get them
// currently is to use assembly.
assembly ("memory-safe") {
r := mload(add(signature, 0x20))
s := mload(add(signature, 0x40))
v := byte(0, mload(add(signature, 0x60)))
}
return tryRecover(hash, v, r, s);
} else {
return (address(0), RecoverError.InvalidSignatureLength, bytes32(signature.length));
}
}
/**
* @dev Variant of {tryRecover} that takes a signature in calldata
*/
function tryRecoverCalldata(
bytes32 hash,
bytes calldata signature
) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
if (signature.length == 65) {
bytes32 r;
bytes32 s;
uint8 v;
// ecrecover takes the signature parameters, calldata slices would work here, but are
// significantly more expensive (length check) than using calldataload in assembly.
assembly ("memory-safe") {
r := calldataload(signature.offset)
s := calldataload(add(signature.offset, 0x20))
v := byte(0, calldataload(add(signature.offset, 0x40)))
}
return tryRecover(hash, v, r, s);
} else {
return (address(0), RecoverError.InvalidSignatureLength, bytes32(signature.length));
}
}
/**
* @dev Returns the address that signed a hashed message (`hash`) with
* `signature`. This address can then be used for verification purposes.
*
* The `ecrecover` EVM precompile allows for malleable (non-unique) signatures:
* this function rejects them by requiring the `s` value to be in the lower
* half order, and the `v` value to be either 27 or 28.
*
* NOTE: This function only supports 65-byte signatures. ERC-2098 short signatures are rejected. This restriction
* is DEPRECATED and will be removed in v6.0. Developers SHOULD NOT use signatures as unique identifiers; use hash
* invalidation or nonces for replay protection.
*
* IMPORTANT: `hash` _must_ be the result of a hash operation for the
* verification to be secure: it is possible to craft signatures that
* recover to arbitrary addresses for non-hashed data. A safe way to ensure
* this is by receiving a hash of the original message (which may otherwise
* be too long), and then calling {MessageHashUtils-toEthSignedMessageHash} on it.
*/
function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
(address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, signature);
_throwError(error, errorArg);
return recovered;
}
/**
* @dev Variant of {recover} that takes a signature in calldata
*/
function recoverCalldata(bytes32 hash, bytes calldata signature) internal pure returns (address) {
(address recovered, RecoverError error, bytes32 errorArg) = tryRecoverCalldata(hash, signature);
_throwError(error, errorArg);
return recovered;
}
/**
* @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
*
* See https://eips.ethereum.org/EIPS/eip-2098[ERC-2098 short signatures]
*/
function tryRecover(
bytes32 hash,
bytes32 r,
bytes32 vs
) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
unchecked {
bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
// We do not check for an overflow here since the shift operation results in 0 or 1.
uint8 v = uint8((uint256(vs) >> 255) + 27);
return tryRecover(hash, v, r, s);
}
}
/**
* @dev Overload of {ECDSA-recover} that receives the `r` and `vs` short-signature fields separately.
*/
function recover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address) {
(address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, r, vs);
_throwError(error, errorArg);
return recovered;
}
/**
* @dev Overload of {ECDSA-tryRecover} that receives the `v`,
* `r` and `s` signature fields separately.
*/
function tryRecover(
bytes32 hash,
uint8 v,
bytes32 r,
bytes32 s
) internal pure returns (address recovered, RecoverError err, bytes32 errArg) {
// EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
// unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
// the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
// signatures from current libraries generate a unique signature with an s-value in the lower half order.
//
// If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
// with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
// vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
// these malleable signatures as well.
if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
return (address(0), RecoverError.InvalidSignatureS, s);
}
// If the signature is valid (and not malleable), return the signer address
address signer = ecrecover(hash, v, r, s);
if (signer == address(0)) {
return (address(0), RecoverError.InvalidSignature, bytes32(0));
}
return (signer, RecoverError.NoError, bytes32(0));
}
/**
* @dev Overload of {ECDSA-recover} that receives the `v`,
* `r` and `s` signature fields separately.
*/
function recover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address) {
(address recovered, RecoverError error, bytes32 errorArg) = tryRecover(hash, v, r, s);
_throwError(error, errorArg);
return recovered;
}
/**
* @dev Parse a signature into its `v`, `r` and `s` components. Supports 65-byte and 64-byte (ERC-2098)
* formats. Returns (0,0,0) for invalid signatures.
*
* For 64-byte signatures, `v` is automatically normalized to 27 or 28.
* For 65-byte signatures, `v` is returned as-is and MUST already be 27 or 28 for use with ecrecover.
*
* Consider validating the result before use, or use {tryRecover}/{recover} which perform full validation.
*/
function parse(bytes memory signature) internal pure returns (uint8 v, bytes32 r, bytes32 s) {
assembly ("memory-safe") {
// Check the signature length
switch mload(signature)
// - case 65: r,s,v signature (standard)
case 65 {
r := mload(add(signature, 0x20))
s := mload(add(signature, 0x40))
v := byte(0, mload(add(signature, 0x60)))
}
// - case 64: r,vs signature (cf https://eips.ethereum.org/EIPS/eip-2098)
case 64 {
let vs := mload(add(signature, 0x40))
r := mload(add(signature, 0x20))
s := and(vs, shr(1, not(0)))
v := add(shr(255, vs), 27)
}
default {
r := 0
s := 0
v := 0
}
}
}
/**
* @dev Variant of {parse} that takes a signature in calldata
*/
function parseCalldata(bytes calldata signature) internal pure returns (uint8 v, bytes32 r, bytes32 s) {
assembly ("memory-safe") {
// Check the signature length
switch signature.length
// - case 65: r,s,v signature (standard)
case 65 {
r := calldataload(signature.offset)
s := calldataload(add(signature.offset, 0x20))
v := byte(0, calldataload(add(signature.offset, 0x40)))
}
// - case 64: r,vs signature (cf https://eips.ethereum.org/EIPS/eip-2098)
case 64 {
let vs := calldataload(add(signature.offset, 0x20))
r := calldataload(signature.offset)
s := and(vs, shr(1, not(0)))
v := add(shr(255, vs), 27)
}
default {
r := 0
s := 0
v := 0
}
}
}
/**
* @dev Optionally reverts with the corresponding custom error according to the `error` argument provided.
*/
function _throwError(RecoverError error, bytes32 errorArg) private pure {
if (error == RecoverError.NoError) {
return; // no error: do nothing
} else if (error == RecoverError.InvalidSignature) {
revert ECDSAInvalidSignature();
} else if (error == RecoverError.InvalidSignatureLength) {
revert ECDSAInvalidSignatureLength(uint256(errorArg));
} else if (error == RecoverError.InvalidSignatureS) {
revert ECDSAInvalidSignatureS(errorArg);
}
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.6.0) (utils/cryptography/MessageHashUtils.sol)
pragma solidity ^0.8.24;
import {Strings} from "../Strings.sol";
/**
* @dev Signature message hash utilities for producing digests to be consumed by {ECDSA} recovery or signing.
*
* The library provides methods for generating a hash of a message that conforms to the
* https://eips.ethereum.org/EIPS/eip-191[ERC-191] and https://eips.ethereum.org/EIPS/eip-712[EIP 712]
* specifications.
*/
library MessageHashUtils {
error ERC5267ExtensionsNotSupported();
/**
* @dev Returns the keccak256 digest of an ERC-191 signed data with version
* `0x45` (`personal_sign` messages).
*
* The digest is calculated by prefixing a bytes32 `messageHash` with
* `"\x19Ethereum Signed Message:\n32"` and hashing the result. It corresponds with the
* hash signed when using the https://ethereum.org/en/developers/docs/apis/json-rpc/#eth_sign[`eth_sign`] JSON-RPC method.
*
* NOTE: The `messageHash` parameter is intended to be the result of hashing a raw message with
* keccak256, although any bytes32 value can be safely used because the final digest will
* be re-hashed.
*
* See {ECDSA-recover}.
*/
function toEthSignedMessageHash(bytes32 messageHash) internal pure returns (bytes32 digest) {
assembly ("memory-safe") {
mstore(0x00, "\x19Ethereum Signed Message:\n32") // 32 is the bytes-length of messageHash
mstore(0x1c, messageHash) // 0x1c (28) is the length of the prefix
digest := keccak256(0x00, 0x3c) // 0x3c is the length of the prefix (0x1c) + messageHash (0x20)
}
}
/**
* @dev Returns the keccak256 digest of an ERC-191 signed data with version
* `0x45` (`personal_sign` messages).
*
* The digest is calculated by prefixing an arbitrary `message` with
* `"\x19Ethereum Signed Message:\n" + len(message)` and hashing the result. It corresponds with the
* hash signed when using the https://ethereum.org/en/developers/docs/apis/json-rpc/#eth_sign[`eth_sign`] JSON-RPC method.
*
* See {ECDSA-recover}.
*/
function toEthSignedMessageHash(bytes memory message) internal pure returns (bytes32) {
return
keccak256(bytes.concat("\x19Ethereum Signed Message:\n", bytes(Strings.toString(message.length)), message));
}
/**
* @dev Returns the keccak256 digest of an ERC-191 signed data with version
* `0x00` (data with intended validator).
*
* The digest is calculated by prefixing an arbitrary `data` with `"\x19\x00"` and the intended
* `validator` address. Then hashing the result.
*
* See {ECDSA-recover}.
*/
function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {
return keccak256(abi.encodePacked(hex"19_00", validator, data));
}
/**
* @dev Variant of {toDataWithIntendedValidatorHash-address-bytes} optimized for cases where `data` is a bytes32.
*/
function toDataWithIntendedValidatorHash(
address validator,
bytes32 messageHash
) internal pure returns (bytes32 digest) {
assembly ("memory-safe") {
mstore(0x00, hex"19_00")
mstore(0x02, shl(96, validator))
mstore(0x16, messageHash)
digest := keccak256(0x00, 0x36)
}
}
/**
* @dev Returns the keccak256 digest of an EIP-712 typed data (ERC-191 version `0x01`).
*
* The digest is calculated from a `domainSeparator` and a `structHash`, by prefixing them with
* `\x19\x01` and hashing the result. It corresponds to the hash signed by the
* https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`] JSON-RPC method as part of EIP-712.
*
* See {ECDSA-recover}.
*/
function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 digest) {
assembly ("memory-safe") {
let ptr := mload(0x40)
mstore(ptr, hex"19_01")
mstore(add(ptr, 0x02), domainSeparator)
mstore(add(ptr, 0x22), structHash)
digest := keccak256(ptr, 0x42)
}
}
/**
* @dev Returns the EIP-712 domain separator constructed from an `eip712Domain`. See {IERC5267-eip712Domain}
*
* This function dynamically constructs the domain separator based on which fields are present in the
* `fields` parameter. It contains flags that indicate which domain fields are present:
*
* * Bit 0 (0x01): name
* * Bit 1 (0x02): version
* * Bit 2 (0x04): chainId
* * Bit 3 (0x08): verifyingContract
* * Bit 4 (0x10): salt
*
* Arguments that correspond to fields which are not present in `fields` are ignored. For example, if `fields` is
* `0x0f` (`0b01111`), then the `salt` parameter is ignored.
*/
function toDomainSeparator(
bytes1 fields,
string memory name,
string memory version,
uint256 chainId,
address verifyingContract,
bytes32 salt
) internal pure returns (bytes32 hash) {
return
toDomainSeparator(
fields,
keccak256(bytes(name)),
keccak256(bytes(version)),
chainId,
verifyingContract,
salt
);
}
/// @dev Variant of {toDomainSeparator-bytes1-string-string-uint256-address-bytes32} that uses hashed name and version.
function toDomainSeparator(
bytes1 fields,
bytes32 nameHash,
bytes32 versionHash,
uint256 chainId,
address verifyingContract,
bytes32 salt
) internal pure returns (bytes32 hash) {
bytes32 domainTypeHash = toDomainTypeHash(fields);
assembly ("memory-safe") {
// align fields to the right for easy processing
fields := shr(248, fields)
// FMP used as scratch space
let fmp := mload(0x40)
mstore(fmp, domainTypeHash)
let ptr := add(fmp, 0x20)
if and(fields, 0x01) {
mstore(ptr, nameHash)
ptr := add(ptr, 0x20)
}
if and(fields, 0x02) {
mstore(ptr, versionHash)
ptr := add(ptr, 0x20)
}
if and(fields, 0x04) {
mstore(ptr, chainId)
ptr := add(ptr, 0x20)
}
if and(fields, 0x08) {
mstore(ptr, verifyingContract)
ptr := add(ptr, 0x20)
}
if and(fields, 0x10) {
mstore(ptr, salt)
ptr := add(ptr, 0x20)
}
hash := keccak256(fmp, sub(ptr, fmp))
}
}
/// @dev Builds an EIP-712 domain type hash depending on the `fields` provided, following https://eips.ethereum.org/EIPS/eip-5267[ERC-5267]
function toDomainTypeHash(bytes1 fields) internal pure returns (bytes32 hash) {
if (fields & 0x20 == 0x20) revert ERC5267ExtensionsNotSupported();
assembly ("memory-safe") {
// align fields to the right for easy processing
fields := shr(248, fields)
// FMP used as scratch space
let fmp := mload(0x40)
mstore(fmp, "EIP712Domain(")
let ptr := add(fmp, 0x0d)
// name field
if and(fields, 0x01) {
mstore(ptr, "string name,")
ptr := add(ptr, 0x0c)
}
// version field
if and(fields, 0x02) {
mstore(ptr, "string version,")
ptr := add(ptr, 0x0f)
}
// chainId field
if and(fields, 0x04) {
mstore(ptr, "uint256 chainId,")
ptr := add(ptr, 0x10)
}
// verifyingContract field
if and(fields, 0x08) {
mstore(ptr, "address verifyingContract,")
ptr := add(ptr, 0x1a)
}
// salt field
if and(fields, 0x10) {
mstore(ptr, "bytes32 salt,")
ptr := add(ptr, 0x0d)
}
// if any field is enabled, remove the trailing comma
ptr := sub(ptr, iszero(iszero(and(fields, 0x1f))))
// add the closing brace
mstore8(ptr, 0x29) // add closing brace
ptr := add(ptr, 1)
hash := keccak256(fmp, sub(ptr, fmp))
}
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.4.0) (utils/introspection/IERC165.sol)
pragma solidity >=0.4.16;
/**
* @dev Interface of the ERC-165 standard, as defined in the
* https://eips.ethereum.org/EIPS/eip-165[ERC].
*
* Implementers can declare support of contract interfaces, which can then be
* queried by others ({ERC165Checker}).
*
* For an implementation, see {ERC165}.
*/
interface IERC165 {
/**
* @dev Returns true if this contract implements the interface defined by
* `interfaceId`. See the corresponding
* https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[ERC section]
* to learn more about how these ids are created.
*
* This function call must use less than 30 000 gas.
*/
function supportsInterface(bytes4 interfaceId) external view returns (bool);
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.0.1) (utils/Context.sol)
pragma solidity ^0.8.20;
/**
* @dev Provides information about the current execution context, including the
* sender of the transaction and its data. While these are generally available
* via msg.sender and msg.data, they should not be accessed in such a direct
* manner, since when dealing with meta-transactions the account sending and
* paying for execution may not be the actual sender (as far as an application
* is concerned).
*
* This contract is only required for intermediate, library-like contracts.
*/
abstract contract Context {
function _msgSender() internal view virtual returns (address) {
return msg.sender;
}
function _msgData() internal view virtual returns (bytes calldata) {
return msg.data;
}
function _contextSuffixLength() internal view virtual returns (uint256) {
return 0;
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/StorageSlot.sol)
// This file was procedurally generated from scripts/generate/templates/StorageSlot.js.
pragma solidity ^0.8.20;
/**
* @dev Library for reading and writing primitive types to specific storage slots.
*
* Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
* This library helps with reading and writing to such slots without the need for inline assembly.
*
* The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
*
* Example usage to set ERC-1967 implementation slot:
* ```solidity
* contract ERC1967 {
* // Define the slot. Alternatively, use the SlotDerivation library to derive the slot.
* bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
*
* function _getImplementation() internal view returns (address) {
* return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
* }
*
* function _setImplementation(address newImplementation) internal {
* require(newImplementation.code.length > 0);
* StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
* }
* }
* ```
*
* TIP: Consider using this library along with {SlotDerivation}.
*/
library StorageSlot {
struct AddressSlot {
address value;
}
struct BooleanSlot {
bool value;
}
struct Bytes32Slot {
bytes32 value;
}
struct Uint256Slot {
uint256 value;
}
struct Int256Slot {
int256 value;
}
struct StringSlot {
string value;
}
struct BytesSlot {
bytes value;
}
/**
* @dev Returns an `AddressSlot` with member `value` located at `slot`.
*/
function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `BooleanSlot` with member `value` located at `slot`.
*/
function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `Bytes32Slot` with member `value` located at `slot`.
*/
function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `Uint256Slot` with member `value` located at `slot`.
*/
function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `Int256Slot` with member `value` located at `slot`.
*/
function getInt256Slot(bytes32 slot) internal pure returns (Int256Slot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns a `StringSlot` with member `value` located at `slot`.
*/
function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns an `StringSlot` representation of the string storage pointer `store`.
*/
function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {
assembly ("memory-safe") {
r.slot := store.slot
}
}
/**
* @dev Returns a `BytesSlot` with member `value` located at `slot`.
*/
function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {
assembly ("memory-safe") {
r.slot := slot
}
}
/**
* @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.
*/
function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {
assembly ("memory-safe") {
r.slot := store.slot
}
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.6.0) (utils/Strings.sol)
pragma solidity ^0.8.24;
import {Math} from "./math/Math.sol";
import {SafeCast} from "./math/SafeCast.sol";
import {SignedMath} from "./math/SignedMath.sol";
import {Bytes} from "./Bytes.sol";
/**
* @dev String operations.
*/
library Strings {
using SafeCast for *;
bytes16 private constant HEX_DIGITS = "0123456789abcdef";
uint8 private constant ADDRESS_LENGTH = 20;
uint256 private constant SPECIAL_CHARS_LOOKUP =
0xffffffff | // first 32 bits corresponding to the control characters (U+0000 to U+001F)
(1 << 0x22) | // double quote
(1 << 0x5c); // backslash
/**
* @dev The `value` string doesn't fit in the specified `length`.
*/
error StringsInsufficientHexLength(uint256 value, uint256 length);
/**
* @dev The string being parsed contains characters that are not in scope of the given base.
*/
error StringsInvalidChar();
/**
* @dev The string being parsed is not a properly formatted address.
*/
error StringsInvalidAddressFormat();
/**
* @dev Converts a `uint256` to its ASCII `string` decimal representation.
*/
function toString(uint256 value) internal pure returns (string memory) {
unchecked {
uint256 length = Math.log10(value) + 1;
string memory buffer = new string(length);
uint256 ptr;
assembly ("memory-safe") {
ptr := add(add(buffer, 0x20), length)
}
while (true) {
ptr--;
assembly ("memory-safe") {
mstore8(ptr, byte(mod(value, 10), HEX_DIGITS))
}
value /= 10;
if (value == 0) break;
}
return buffer;
}
}
/**
* @dev Converts a `int256` to its ASCII `string` decimal representation.
*/
function toStringSigned(int256 value) internal pure returns (string memory) {
return string.concat(value < 0 ? "-" : "", toString(SignedMath.abs(value)));
}
/**
* @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
*/
function toHexString(uint256 value) internal pure returns (string memory) {
unchecked {
return toHexString(value, Math.log256(value) + 1);
}
}
/**
* @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
*/
function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
uint256 localValue = value;
bytes memory buffer = new bytes(2 * length + 2);
buffer[0] = "0";
buffer[1] = "x";
for (uint256 i = 2 * length + 1; i > 1; --i) {
buffer[i] = HEX_DIGITS[localValue & 0xf];
localValue >>= 4;
}
if (localValue != 0) {
revert StringsInsufficientHexLength(value, length);
}
return string(buffer);
}
/**
* @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal
* representation.
*/
function toHexString(address addr) internal pure returns (string memory) {
return toHexString(uint256(uint160(addr)), ADDRESS_LENGTH);
}
/**
* @dev Converts an `address` with fixed length of 20 bytes to its checksummed ASCII `string` hexadecimal
* representation, according to EIP-55.
*/
function toChecksumHexString(address addr) internal pure returns (string memory) {
bytes memory buffer = bytes(toHexString(addr));
// hash the hex part of buffer (skip length + 2 bytes, length 40)
uint256 hashValue;
assembly ("memory-safe") {
hashValue := shr(96, keccak256(add(buffer, 0x22), 40))
}
for (uint256 i = 41; i > 1; --i) {
// possible values for buffer[i] are 48 (0) to 57 (9) and 97 (a) to 102 (f)
if (hashValue & 0xf > 7 && uint8(buffer[i]) > 96) {
// case shift by xoring with 0x20
buffer[i] ^= 0x20;
}
hashValue >>= 4;
}
return string(buffer);
}
/**
* @dev Converts a `bytes` buffer to its ASCII `string` hexadecimal representation.
*/
function toHexString(bytes memory input) internal pure returns (string memory) {
unchecked {
bytes memory buffer = new bytes(2 * input.length + 2);
buffer[0] = "0";
buffer[1] = "x";
for (uint256 i = 0; i < input.length; ++i) {
uint8 v = uint8(input[i]);
buffer[2 * i + 2] = HEX_DIGITS[v >> 4];
buffer[2 * i + 3] = HEX_DIGITS[v & 0xf];
}
return string(buffer);
}
}
/**
* @dev Returns true if the two strings are equal.
*/
function equal(string memory a, string memory b) internal pure returns (bool) {
return Bytes.equal(bytes(a), bytes(b));
}
/**
* @dev Parse a decimal string and returns the value as a `uint256`.
*
* Requirements:
* - The string must be formatted as `[0-9]*`
* - The result must fit into an `uint256` type
*/
function parseUint(string memory input) internal pure returns (uint256) {
return parseUint(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseUint-string} that parses a substring of `input` located between position `begin` (included) and
* `end` (excluded).
*
* Requirements:
* - The substring must be formatted as `[0-9]*`
* - The result must fit into an `uint256` type
*/
function parseUint(string memory input, uint256 begin, uint256 end) internal pure returns (uint256) {
(bool success, uint256 value) = tryParseUint(input, begin, end);
if (!success) revert StringsInvalidChar();
return value;
}
/**
* @dev Variant of {parseUint-string} that returns false if the parsing fails because of an invalid character.
*
* NOTE: This function will revert if the result does not fit in a `uint256`.
*/
function tryParseUint(string memory input) internal pure returns (bool success, uint256 value) {
return _tryParseUintUncheckedBounds(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseUint-string-uint256-uint256} that returns false if the parsing fails because of an invalid
* character.
*
* NOTE: This function will revert if the result does not fit in a `uint256`.
*/
function tryParseUint(
string memory input,
uint256 begin,
uint256 end
) internal pure returns (bool success, uint256 value) {
if (end > bytes(input).length || begin > end) return (false, 0);
return _tryParseUintUncheckedBounds(input, begin, end);
}
/**
* @dev Implementation of {tryParseUint-string-uint256-uint256} that does not check bounds. Caller should make sure that
* `begin <= end <= input.length`. Other inputs would result in undefined behavior.
*/
function _tryParseUintUncheckedBounds(
string memory input,
uint256 begin,
uint256 end
) private pure returns (bool success, uint256 value) {
bytes memory buffer = bytes(input);
uint256 result = 0;
for (uint256 i = begin; i < end; ++i) {
uint8 chr = _tryParseChr(bytes1(_unsafeReadBytesOffset(buffer, i)));
if (chr > 9) return (false, 0);
result *= 10;
result += chr;
}
return (true, result);
}
/**
* @dev Parse a decimal string and returns the value as a `int256`.
*
* Requirements:
* - The string must be formatted as `[-+]?[0-9]*`
* - The result must fit in an `int256` type.
*/
function parseInt(string memory input) internal pure returns (int256) {
return parseInt(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseInt-string} that parses a substring of `input` located between position `begin` (included) and
* `end` (excluded).
*
* Requirements:
* - The substring must be formatted as `[-+]?[0-9]*`
* - The result must fit in an `int256` type.
*/
function parseInt(string memory input, uint256 begin, uint256 end) internal pure returns (int256) {
(bool success, int256 value) = tryParseInt(input, begin, end);
if (!success) revert StringsInvalidChar();
return value;
}
/**
* @dev Variant of {parseInt-string} that returns false if the parsing fails because of an invalid character or if
* the result does not fit in a `int256`.
*
* NOTE: This function will revert if the absolute value of the result does not fit in a `uint256`.
*/
function tryParseInt(string memory input) internal pure returns (bool success, int256 value) {
return _tryParseIntUncheckedBounds(input, 0, bytes(input).length);
}
uint256 private constant ABS_MIN_INT256 = 2 ** 255;
/**
* @dev Variant of {parseInt-string-uint256-uint256} that returns false if the parsing fails because of an invalid
* character or if the result does not fit in a `int256`.
*
* NOTE: This function will revert if the absolute value of the result does not fit in a `uint256`.
*/
function tryParseInt(
string memory input,
uint256 begin,
uint256 end
) internal pure returns (bool success, int256 value) {
if (end > bytes(input).length || begin > end) return (false, 0);
return _tryParseIntUncheckedBounds(input, begin, end);
}
/**
* @dev Implementation of {tryParseInt-string-uint256-uint256} that does not check bounds. Caller should make sure that
* `begin <= end <= input.length`. Other inputs would result in undefined behavior.
*/
function _tryParseIntUncheckedBounds(
string memory input,
uint256 begin,
uint256 end
) private pure returns (bool success, int256 value) {
bytes memory buffer = bytes(input);
// Check presence of a negative sign.
bytes1 sign = begin == end ? bytes1(0) : bytes1(_unsafeReadBytesOffset(buffer, begin)); // don't do out-of-bound (possibly unsafe) read if sub-string is empty
bool positiveSign = sign == bytes1("+");
bool negativeSign = sign == bytes1("-");
uint256 offset = (positiveSign || negativeSign).toUint();
(bool absSuccess, uint256 absValue) = tryParseUint(input, begin + offset, end);
if (absSuccess && absValue < ABS_MIN_INT256) {
return (true, negativeSign ? -int256(absValue) : int256(absValue));
} else if (absSuccess && negativeSign && absValue == ABS_MIN_INT256) {
return (true, type(int256).min);
} else return (false, 0);
}
/**
* @dev Parse a hexadecimal string (with or without "0x" prefix), and returns the value as a `uint256`.
*
* Requirements:
* - The string must be formatted as `(0x)?[0-9a-fA-F]*`
* - The result must fit in an `uint256` type.
*/
function parseHexUint(string memory input) internal pure returns (uint256) {
return parseHexUint(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseHexUint-string} that parses a substring of `input` located between position `begin` (included) and
* `end` (excluded).
*
* Requirements:
* - The substring must be formatted as `(0x)?[0-9a-fA-F]*`
* - The result must fit in an `uint256` type.
*/
function parseHexUint(string memory input, uint256 begin, uint256 end) internal pure returns (uint256) {
(bool success, uint256 value) = tryParseHexUint(input, begin, end);
if (!success) revert StringsInvalidChar();
return value;
}
/**
* @dev Variant of {parseHexUint-string} that returns false if the parsing fails because of an invalid character.
*
* NOTE: This function will revert if the result does not fit in a `uint256`.
*/
function tryParseHexUint(string memory input) internal pure returns (bool success, uint256 value) {
return _tryParseHexUintUncheckedBounds(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseHexUint-string-uint256-uint256} that returns false if the parsing fails because of an
* invalid character.
*
* NOTE: This function will revert if the result does not fit in a `uint256`.
*/
function tryParseHexUint(
string memory input,
uint256 begin,
uint256 end
) internal pure returns (bool success, uint256 value) {
if (end > bytes(input).length || begin > end) return (false, 0);
return _tryParseHexUintUncheckedBounds(input, begin, end);
}
/**
* @dev Implementation of {tryParseHexUint-string-uint256-uint256} that does not check bounds. Caller should make sure that
* `begin <= end <= input.length`. Other inputs would result in undefined behavior.
*/
function _tryParseHexUintUncheckedBounds(
string memory input,
uint256 begin,
uint256 end
) private pure returns (bool success, uint256 value) {
bytes memory buffer = bytes(input);
// skip 0x prefix if present
bool hasPrefix = (end > begin + 1) && bytes2(_unsafeReadBytesOffset(buffer, begin)) == bytes2("0x"); // don't do out-of-bound (possibly unsafe) read if sub-string is empty
uint256 offset = hasPrefix.toUint() * 2;
uint256 result = 0;
for (uint256 i = begin + offset; i < end; ++i) {
uint8 chr = _tryParseChr(bytes1(_unsafeReadBytesOffset(buffer, i)));
if (chr > 15) return (false, 0);
result *= 16;
unchecked {
// Multiplying by 16 is equivalent to a shift of 4 bits (with additional overflow check).
// This guarantees that adding a value < 16 will not cause an overflow, hence the unchecked.
result += chr;
}
}
return (true, result);
}
/**
* @dev Parse a hexadecimal string (with or without "0x" prefix), and returns the value as an `address`.
*
* Requirements:
* - The string must be formatted as `(0x)?[0-9a-fA-F]{40}`
*/
function parseAddress(string memory input) internal pure returns (address) {
return parseAddress(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseAddress-string} that parses a substring of `input` located between position `begin` (included) and
* `end` (excluded).
*
* Requirements:
* - The substring must be formatted as `(0x)?[0-9a-fA-F]{40}`
*/
function parseAddress(string memory input, uint256 begin, uint256 end) internal pure returns (address) {
(bool success, address value) = tryParseAddress(input, begin, end);
if (!success) revert StringsInvalidAddressFormat();
return value;
}
/**
* @dev Variant of {parseAddress-string} that returns false if the parsing fails because the input is not a properly
* formatted address. See {parseAddress-string} requirements.
*/
function tryParseAddress(string memory input) internal pure returns (bool success, address value) {
return tryParseAddress(input, 0, bytes(input).length);
}
/**
* @dev Variant of {parseAddress-string-uint256-uint256} that returns false if the parsing fails because input is not a properly
* formatted address. See {parseAddress-string-uint256-uint256} requirements.
*/
function tryParseAddress(
string memory input,
uint256 begin,
uint256 end
) internal pure returns (bool success, address value) {
if (end > bytes(input).length || begin > end) return (false, address(0));
bool hasPrefix = (end > begin + 1) && bytes2(_unsafeReadBytesOffset(bytes(input), begin)) == bytes2("0x"); // don't do out-of-bound (possibly unsafe) read if sub-string is empty
uint256 expectedLength = 40 + hasPrefix.toUint() * 2;
// check that input is the correct length
if (end - begin == expectedLength) {
// length guarantees that this does not overflow, and value is at most type(uint160).max
(bool s, uint256 v) = _tryParseHexUintUncheckedBounds(input, begin, end);
return (s, address(uint160(v)));
} else {
return (false, address(0));
}
}
function _tryParseChr(bytes1 chr) private pure returns (uint8) {
uint8 value = uint8(chr);
// Try to parse `chr`:
// - Case 1: [0-9]
// - Case 2: [a-f]
// - Case 3: [A-F]
// - otherwise not supported
unchecked {
if (value > 47 && value < 58) value -= 48;
else if (value > 96 && value < 103) value -= 87;
else if (value > 64 && value < 71) value -= 55;
else return type(uint8).max;
}
return value;
}
/**
* @dev Escape special characters in JSON strings. This can be useful to prevent JSON injection in NFT metadata.
*
* WARNING: This function should only be used in double quoted JSON strings. Single quotes are not escaped.
*
* NOTE: This function escapes backslashes (including those in \uXXXX sequences) and the characters in ranges
* defined in section 2.5 of RFC-4627 (U+0000 to U+001F, U+0022 and U+005C). All control characters in U+0000
* to U+001F are escaped (\b, \t, \n, \f, \r use short form; others use \u00XX). ECMAScript's `JSON.parse` does
* recover escaped unicode characters that are not in this range, but other tooling may provide different results.
*/
function escapeJSON(string memory input) internal pure returns (string memory) {
bytes memory buffer = bytes(input);
// Put output at the FMP. Memory will be reserved later when we figure out the actual length of the escaped
// string. All write are done using _unsafeWriteBytesOffset, which avoid the (expensive) length checks for
// each character written.
bytes memory output;
assembly ("memory-safe") {
output := mload(0x40)
}
uint256 outputLength = 0;
for (uint256 i = 0; i < buffer.length; ++i) {
uint8 char = uint8(bytes1(_unsafeReadBytesOffset(buffer, i)));
if (((SPECIAL_CHARS_LOOKUP & (1 << char)) != 0)) {
_unsafeWriteBytesOffset(output, outputLength++, "\\");
if (char == 0x08) _unsafeWriteBytesOffset(output, outputLength++, "b");
else if (char == 0x09) _unsafeWriteBytesOffset(output, outputLength++, "t");
else if (char == 0x0a) _unsafeWriteBytesOffset(output, outputLength++, "n");
else if (char == 0x0c) _unsafeWriteBytesOffset(output, outputLength++, "f");
else if (char == 0x0d) _unsafeWriteBytesOffset(output, outputLength++, "r");
else if (char == 0x5c) _unsafeWriteBytesOffset(output, outputLength++, "\\");
else if (char == 0x22) {
// solhint-disable-next-line quotes
_unsafeWriteBytesOffset(output, outputLength++, '"');
} else {
// U+0000 to U+001F without short form: output \u00XX
_unsafeWriteBytesOffset(output, outputLength++, "u");
_unsafeWriteBytesOffset(output, outputLength++, "0");
_unsafeWriteBytesOffset(output, outputLength++, "0");
_unsafeWriteBytesOffset(output, outputLength++, HEX_DIGITS[char >> 4]);
_unsafeWriteBytesOffset(output, outputLength++, HEX_DIGITS[char & 0x0f]);
}
} else {
_unsafeWriteBytesOffset(output, outputLength++, bytes1(char));
}
}
// write the actual length and reserve memory
assembly ("memory-safe") {
mstore(output, outputLength)
mstore(0x40, add(output, add(outputLength, 0x20)))
}
return string(output);
}
/**
* @dev Reads a bytes32 from a bytes array without bounds checking.
*
* NOTE: making this function internal would mean it could be used with memory unsafe offset, and marking the
* assembly block as such would prevent some optimizations.
*/
function _unsafeReadBytesOffset(bytes memory buffer, uint256 offset) private pure returns (bytes32 value) {
// This is not memory safe in the general case, but all calls to this private function are within bounds.
assembly ("memory-safe") {
value := mload(add(add(buffer, 0x20), offset))
}
}
/**
* @dev Write a bytes1 to a bytes array without bounds checking.
*
* NOTE: making this function internal would mean it could be used with memory unsafe offset, and marking the
* assembly block as such would prevent some optimizations.
*/
function _unsafeWriteBytesOffset(bytes memory buffer, uint256 offset, bytes1 value) private pure {
// This is not memory safe in the general case, but all calls to this private function are within bounds.
assembly ("memory-safe") {
mstore8(add(add(buffer, 0x20), offset), shr(248, value))
}
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.6.0) (utils/math/Math.sol)
pragma solidity ^0.8.20;
import {Panic} from "../Panic.sol";
import {SafeCast} from "./SafeCast.sol";
/**
* @dev Standard math utilities missing in the Solidity language.
*/
library Math {
enum Rounding {
Floor, // Toward negative infinity
Ceil, // Toward positive infinity
Trunc, // Toward zero
Expand // Away from zero
}
/**
* @dev Return the 512-bit addition of two uint256.
*
* The result is stored in two 256 variables such that sum = high * 2²⁵⁶ + low.
*/
function add512(uint256 a, uint256 b) internal pure returns (uint256 high, uint256 low) {
assembly ("memory-safe") {
low := add(a, b)
high := lt(low, a)
}
}
/**
* @dev Return the 512-bit multiplication of two uint256.
*
* The result is stored in two 256 variables such that product = high * 2²⁵⁶ + low.
*/
function mul512(uint256 a, uint256 b) internal pure returns (uint256 high, uint256 low) {
// 512-bit multiply [high low] = x * y. Compute the product mod 2²⁵⁶ and mod 2²⁵⁶ - 1, then use
// the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
// variables such that product = high * 2²⁵⁶ + low.
assembly ("memory-safe") {
let mm := mulmod(a, b, not(0))
low := mul(a, b)
high := sub(sub(mm, low), lt(mm, low))
}
}
/**
* @dev Returns the addition of two unsigned integers, with a success flag (no overflow).
*/
function tryAdd(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
uint256 c = a + b;
success = c >= a;
result = c * SafeCast.toUint(success);
}
}
/**
* @dev Returns the subtraction of two unsigned integers, with a success flag (no overflow).
*/
function trySub(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
uint256 c = a - b;
success = c <= a;
result = c * SafeCast.toUint(success);
}
}
/**
* @dev Returns the multiplication of two unsigned integers, with a success flag (no overflow).
*/
function tryMul(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
uint256 c = a * b;
assembly ("memory-safe") {
// Only true when the multiplication doesn't overflow
// (c / a == b) || (a == 0)
success := or(eq(div(c, a), b), iszero(a))
}
// equivalent to: success ? c : 0
result = c * SafeCast.toUint(success);
}
}
/**
* @dev Returns the division of two unsigned integers, with a success flag (no division by zero).
*/
function tryDiv(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
success = b > 0;
assembly ("memory-safe") {
// The `DIV` opcode returns zero when the denominator is 0.
result := div(a, b)
}
}
}
/**
* @dev Returns the remainder of dividing two unsigned integers, with a success flag (no division by zero).
*/
function tryMod(uint256 a, uint256 b) internal pure returns (bool success, uint256 result) {
unchecked {
success = b > 0;
assembly ("memory-safe") {
// The `MOD` opcode returns zero when the denominator is 0.
result := mod(a, b)
}
}
}
/**
* @dev Unsigned saturating addition, bounds to `2²⁵⁶ - 1` instead of overflowing.
*/
function saturatingAdd(uint256 a, uint256 b) internal pure returns (uint256) {
(bool success, uint256 result) = tryAdd(a, b);
return ternary(success, result, type(uint256).max);
}
/**
* @dev Unsigned saturating subtraction, bounds to zero instead of overflowing.
*/
function saturatingSub(uint256 a, uint256 b) internal pure returns (uint256) {
(, uint256 result) = trySub(a, b);
return result;
}
/**
* @dev Unsigned saturating multiplication, bounds to `2²⁵⁶ - 1` instead of overflowing.
*/
function saturatingMul(uint256 a, uint256 b) internal pure returns (uint256) {
(bool success, uint256 result) = tryMul(a, b);
return ternary(success, result, type(uint256).max);
}
/**
* @dev Branchless ternary evaluation for `condition ? a : b`. Gas costs are constant.
*
* IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
* However, the compiler may optimize Solidity ternary operations (i.e. `condition ? a : b`) to only compute
* one branch when needed, making this function more expensive.
*/
function ternary(bool condition, uint256 a, uint256 b) internal pure returns (uint256) {
unchecked {
// branchless ternary works because:
// b ^ (a ^ b) == a
// b ^ 0 == b
return b ^ ((a ^ b) * SafeCast.toUint(condition));
}
}
/**
* @dev Returns the largest of two numbers.
*/
function max(uint256 a, uint256 b) internal pure returns (uint256) {
return ternary(a > b, a, b);
}
/**
* @dev Returns the smallest of two numbers.
*/
function min(uint256 a, uint256 b) internal pure returns (uint256) {
return ternary(a < b, a, b);
}
/**
* @dev Returns the average of two numbers. The result is rounded towards
* zero.
*/
function average(uint256 a, uint256 b) internal pure returns (uint256) {
unchecked {
// (a + b) / 2 can overflow.
return (a & b) + (a ^ b) / 2;
}
}
/**
* @dev Returns the ceiling of the division of two numbers.
*
* This differs from standard division with `/` in that it rounds towards infinity instead
* of rounding towards zero.
*/
function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
if (b == 0) {
// Guarantee the same behavior as in a regular Solidity division.
Panic.panic(Panic.DIVISION_BY_ZERO);
}
// The following calculation ensures accurate ceiling division without overflow.
// Since a is non-zero, (a - 1) / b will not overflow.
// The largest possible result occurs when (a - 1) / b is type(uint256).max,
// but the largest value we can obtain is type(uint256).max - 1, which happens
// when a = type(uint256).max and b = 1.
unchecked {
return SafeCast.toUint(a > 0) * ((a - 1) / b + 1);
}
}
/**
* @dev Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or
* denominator == 0.
*
* Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) with further edits by
* Uniswap Labs also under MIT license.
*/
function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
unchecked {
(uint256 high, uint256 low) = mul512(x, y);
// Handle non-overflow cases, 256 by 256 division.
if (high == 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 low / denominator;
}
// Make sure the result is less than 2²⁵⁶. Also prevents denominator == 0.
if (denominator <= high) {
Panic.panic(ternary(denominator == 0, Panic.DIVISION_BY_ZERO, Panic.UNDER_OVERFLOW));
}
///////////////////////////////////////////////
// 512 by 256 division.
///////////////////////////////////////////////
// Make division exact by subtracting the remainder from [high low].
uint256 remainder;
assembly ("memory-safe") {
// Compute remainder using mulmod.
remainder := mulmod(x, y, denominator)
// Subtract 256 bit number from 512 bit number.
high := sub(high, gt(remainder, low))
low := sub(low, remainder)
}
// Factor powers of two out of denominator and compute largest power of two divisor of denominator.
// Always >= 1. See https://cs.stackexchange.com/q/138556/92363.
uint256 twos = denominator & (0 - denominator);
assembly ("memory-safe") {
// Divide denominator by twos.
denominator := div(denominator, twos)
// Divide [high low] by twos.
low := div(low, twos)
// Flip twos such that it is 2²⁵⁶ / twos. If twos is zero, then it becomes one.
twos := add(div(sub(0, twos), twos), 1)
}
// Shift in bits from high into low.
low |= high * twos;
// Invert denominator mod 2²⁵⁶. Now that denominator is an odd number, it has an inverse modulo 2²⁵⁶ such
// that denominator * inv ≡ 1 mod 2²⁵⁶. Compute the inverse by starting with a seed that is correct for
// four bits. That is, denominator * inv ≡ 1 mod 2⁴.
uint256 inverse = (3 * denominator) ^ 2;
// Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also
// works in modular arithmetic, doubling the correct bits in each step.
inverse *= 2 - denominator * inverse; // inverse mod 2⁸
inverse *= 2 - denominator * inverse; // inverse mod 2¹⁶
inverse *= 2 - denominator * inverse; // inverse mod 2³²
inverse *= 2 - denominator * inverse; // inverse mod 2⁶⁴
inverse *= 2 - denominator * inverse; // inverse mod 2¹²⁸
inverse *= 2 - denominator * inverse; // inverse mod 2²⁵⁶
// Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
// This will give us the correct result modulo 2²⁵⁶. Since the preconditions guarantee that the outcome is
// less than 2²⁵⁶, this is the final result. We don't need to compute the high bits of the result and high
// is no longer required.
result = low * inverse;
return result;
}
}
/**
* @dev Calculates x * y / denominator with full precision, following the selected rounding direction.
*/
function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
return mulDiv(x, y, denominator) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0);
}
/**
* @dev Calculates floor(x * y >> n) with full precision. Throws if result overflows a uint256.
*/
function mulShr(uint256 x, uint256 y, uint8 n) internal pure returns (uint256 result) {
unchecked {
(uint256 high, uint256 low) = mul512(x, y);
if (high >= 1 << n) {
Panic.panic(Panic.UNDER_OVERFLOW);
}
return (high << (256 - n)) | (low >> n);
}
}
/**
* @dev Calculates x * y >> n with full precision, following the selected rounding direction.
*/
function mulShr(uint256 x, uint256 y, uint8 n, Rounding rounding) internal pure returns (uint256) {
return mulShr(x, y, n) + SafeCast.toUint(unsignedRoundsUp(rounding) && mulmod(x, y, 1 << n) > 0);
}
/**
* @dev Calculate the modular multiplicative inverse of a number in Z/nZ.
*
* If n is a prime, then Z/nZ is a field. In that case all elements are inversible, except 0.
* If n is not a prime, then Z/nZ is not a field, and some elements might not be inversible.
*
* If the input value is not inversible, 0 is returned.
*
* NOTE: If you know for sure that n is (big) a prime, it may be cheaper to use Fermat's little theorem and get the
* inverse using `Math.modExp(a, n - 2, n)`. See {invModPrime}.
*/
function invMod(uint256 a, uint256 n) internal pure returns (uint256) {
unchecked {
if (n == 0) return 0;
// The inverse modulo is calculated using the Extended Euclidean Algorithm (iterative version)
// Used to compute integers x and y such that: ax + ny = gcd(a, n).
// When the gcd is 1, then the inverse of a modulo n exists and it's x.
// ax + ny = 1
// ax = 1 + (-y)n
// ax ≡ 1 (mod n) # x is the inverse of a modulo n
// If the remainder is 0 the gcd is n right away.
uint256 remainder = a % n;
uint256 gcd = n;
// Therefore the initial coefficients are:
// ax + ny = gcd(a, n) = n
// 0a + 1n = n
int256 x = 0;
int256 y = 1;
while (remainder != 0) {
uint256 quotient = gcd / remainder;
(gcd, remainder) = (
// The old remainder is the next gcd to try.
remainder,
// Compute the next remainder.
// Can't overflow given that (a % gcd) * (gcd // (a % gcd)) <= gcd
// where gcd is at most n (capped to type(uint256).max)
gcd - remainder * quotient
);
(x, y) = (
// Increment the coefficient of a.
y,
// Decrement the coefficient of n.
// Can overflow, but the result is casted to uint256 so that the
// next value of y is "wrapped around" to a value between 0 and n - 1.
x - y * int256(quotient)
);
}
if (gcd != 1) return 0; // No inverse exists.
return ternary(x < 0, n - uint256(-x), uint256(x)); // Wrap the result if it's negative.
}
}
/**
* @dev Variant of {invMod}. More efficient, but only works if `p` is known to be a prime greater than `2`.
*
* From https://en.wikipedia.org/wiki/Fermat%27s_little_theorem[Fermat's little theorem], we know that if p is
* prime, then `a**(p-1) ≡ 1 mod p`. As a consequence, we have `a * a**(p-2) ≡ 1 mod p`, which means that
* `a**(p-2)` is the modular multiplicative inverse of a in Fp.
*
* NOTE: this function does NOT check that `p` is a prime greater than `2`.
*/
function invModPrime(uint256 a, uint256 p) internal view returns (uint256) {
unchecked {
return Math.modExp(a, p - 2, p);
}
}
/**
* @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m)
*
* Requirements:
* - modulus can't be zero
* - underlying staticcall to precompile must succeed
*
* IMPORTANT: The result is only valid if the underlying call succeeds. When using this function, make
* sure the chain you're using it on supports the precompiled contract for modular exponentiation
* at address 0x05 as specified in https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise,
* the underlying function will succeed given the lack of a revert, but the result may be incorrectly
* interpreted as 0.
*/
function modExp(uint256 b, uint256 e, uint256 m) internal view returns (uint256) {
(bool success, uint256 result) = tryModExp(b, e, m);
if (!success) {
Panic.panic(Panic.DIVISION_BY_ZERO);
}
return result;
}
/**
* @dev Returns the modular exponentiation of the specified base, exponent and modulus (b ** e % m).
* It includes a success flag indicating if the operation succeeded. Operation will be marked as failed if trying
* to operate modulo 0 or if the underlying precompile reverted.
*
* IMPORTANT: The result is only valid if the success flag is true. When using this function, make sure the chain
* you're using it on supports the precompiled contract for modular exponentiation at address 0x05 as specified in
* https://eips.ethereum.org/EIPS/eip-198[EIP-198]. Otherwise, the underlying function will succeed given the lack
* of a revert, but the result may be incorrectly interpreted as 0.
*/
function tryModExp(uint256 b, uint256 e, uint256 m) internal view returns (bool success, uint256 result) {
if (m == 0) return (false, 0);
assembly ("memory-safe") {
let ptr := mload(0x40)
// | Offset | Content | Content (Hex) |
// |-----------|------------|--------------------------------------------------------------------|
// | 0x00:0x1f | size of b | 0x0000000000000000000000000000000000000000000000000000000000000020 |
// | 0x20:0x3f | size of e | 0x0000000000000000000000000000000000000000000000000000000000000020 |
// | 0x40:0x5f | size of m | 0x0000000000000000000000000000000000000000000000000000000000000020 |
// | 0x60:0x7f | value of b | 0x<.............................................................b> |
// | 0x80:0x9f | value of e | 0x<.............................................................e> |
// | 0xa0:0xbf | value of m | 0x<.............................................................m> |
mstore(ptr, 0x20)
mstore(add(ptr, 0x20), 0x20)
mstore(add(ptr, 0x40), 0x20)
mstore(add(ptr, 0x60), b)
mstore(add(ptr, 0x80), e)
mstore(add(ptr, 0xa0), m)
// Given the result < m, it's guaranteed to fit in 32 bytes,
// so we can use the memory scratch space located at offset 0.
success := staticcall(gas(), 0x05, ptr, 0xc0, 0x00, 0x20)
result := mload(0x00)
}
}
/**
* @dev Variant of {modExp} that supports inputs of arbitrary length.
*/
function modExp(bytes memory b, bytes memory e, bytes memory m) internal view returns (bytes memory) {
(bool success, bytes memory result) = tryModExp(b, e, m);
if (!success) {
Panic.panic(Panic.DIVISION_BY_ZERO);
}
return result;
}
/**
* @dev Variant of {tryModExp} that supports inputs of arbitrary length.
*/
function tryModExp(
bytes memory b,
bytes memory e,
bytes memory m
) internal view returns (bool success, bytes memory result) {
if (_zeroBytes(m)) return (false, new bytes(0));
uint256 mLen = m.length;
// Encode call args in result and move the free memory pointer
result = abi.encodePacked(b.length, e.length, mLen, b, e, m);
assembly ("memory-safe") {
let dataPtr := add(result, 0x20)
// Write result on top of args to avoid allocating extra memory.
success := staticcall(gas(), 0x05, dataPtr, mload(result), dataPtr, mLen)
// Overwrite the length.
// result.length > returndatasize() is guaranteed because returndatasize() == m.length
mstore(result, mLen)
// Set the memory pointer after the returned data.
mstore(0x40, add(dataPtr, mLen))
}
}
/**
* @dev Returns whether the provided byte array is zero.
*/
function _zeroBytes(bytes memory buffer) private pure returns (bool) {
uint256 chunk;
for (uint256 i = 0; i < buffer.length; i += 0x20) {
// See _unsafeReadBytesOffset from utils/Bytes.sol
assembly ("memory-safe") {
chunk := mload(add(add(buffer, 0x20), i))
}
if (chunk >> (8 * saturatingSub(i + 0x20, buffer.length)) != 0) {
return false;
}
}
return true;
}
/**
* @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded
* towards zero.
*
* This method is based on Newton's method for computing square roots; the algorithm is restricted to only
* using integer operations.
*/
function sqrt(uint256 a) internal pure returns (uint256) {
unchecked {
// Take care of easy edge cases when a == 0 or a == 1
if (a <= 1) {
return a;
}
// In this function, we use Newton's method to get a root of `f(x) := x² - a`. It involves building a
// sequence x_n that converges toward sqrt(a). For each iteration x_n, we also define the error between
// the current value as `ε_n = | x_n - sqrt(a) |`.
//
// For our first estimation, we consider `e` the smallest power of 2 which is bigger than the square root
// of the target. (i.e. `2**(e-1) ≤ sqrt(a) < 2**e`). We know that `e ≤ 128` because `(2¹²⁸)² = 2²⁵⁶` is
// bigger than any uint256.
//
// By noticing that
// `2**(e-1) ≤ sqrt(a) < 2**e → (2**(e-1))² ≤ a < (2**e)² → 2**(2*e-2) ≤ a < 2**(2*e)`
// we can deduce that `e - 1` is `log2(a) / 2`. We can thus compute `x_n = 2**(e-1)` using a method similar
// to the msb function.
uint256 aa = a;
uint256 xn = 1;
if (aa >= (1 << 128)) {
aa >>= 128;
xn <<= 64;
}
if (aa >= (1 << 64)) {
aa >>= 64;
xn <<= 32;
}
if (aa >= (1 << 32)) {
aa >>= 32;
xn <<= 16;
}
if (aa >= (1 << 16)) {
aa >>= 16;
xn <<= 8;
}
if (aa >= (1 << 8)) {
aa >>= 8;
xn <<= 4;
}
if (aa >= (1 << 4)) {
aa >>= 4;
xn <<= 2;
}
if (aa >= (1 << 2)) {
xn <<= 1;
}
// We now have x_n such that `x_n = 2**(e-1) ≤ sqrt(a) < 2**e = 2 * x_n`. This implies ε_n ≤ 2**(e-1).
//
// We can refine our estimation by noticing that the middle of that interval minimizes the error.
// If we move x_n to equal 2**(e-1) + 2**(e-2), then we reduce the error to ε_n ≤ 2**(e-2).
// This is going to be our x_0 (and ε_0)
xn = (3 * xn) >> 1; // ε_0 := | x_0 - sqrt(a) | ≤ 2**(e-2)
// From here, Newton's method give us:
// x_{n+1} = (x_n + a / x_n) / 2
//
// One should note that:
// x_{n+1}² - a = ((x_n + a / x_n) / 2)² - a
// = ((x_n² + a) / (2 * x_n))² - a
// = (x_n⁴ + 2 * a * x_n² + a²) / (4 * x_n²) - a
// = (x_n⁴ + 2 * a * x_n² + a² - 4 * a * x_n²) / (4 * x_n²)
// = (x_n⁴ - 2 * a * x_n² + a²) / (4 * x_n²)
// = (x_n² - a)² / (2 * x_n)²
// = ((x_n² - a) / (2 * x_n))²
// ≥ 0
// Which proves that for all n ≥ 1, sqrt(a) ≤ x_n
//
// This gives us the proof of quadratic convergence of the sequence:
// ε_{n+1} = | x_{n+1} - sqrt(a) |
// = | (x_n + a / x_n) / 2 - sqrt(a) |
// = | (x_n² + a - 2*x_n*sqrt(a)) / (2 * x_n) |
// = | (x_n - sqrt(a))² / (2 * x_n) |
// = | ε_n² / (2 * x_n) |
// = ε_n² / | (2 * x_n) |
//
// For the first iteration, we have a special case where x_0 is known:
// ε_1 = ε_0² / | (2 * x_0) |
// ≤ (2**(e-2))² / (2 * (2**(e-1) + 2**(e-2)))
// ≤ 2**(2*e-4) / (3 * 2**(e-1))
// ≤ 2**(e-3) / 3
// ≤ 2**(e-3-log2(3))
// ≤ 2**(e-4.5)
//
// For the following iterations, we use the fact that, 2**(e-1) ≤ sqrt(a) ≤ x_n:
// ε_{n+1} = ε_n² / | (2 * x_n) |
// ≤ (2**(e-k))² / (2 * 2**(e-1))
// ≤ 2**(2*e-2*k) / 2**e
// ≤ 2**(e-2*k)
xn = (xn + a / xn) >> 1; // ε_1 := | x_1 - sqrt(a) | ≤ 2**(e-4.5) -- special case, see above
xn = (xn + a / xn) >> 1; // ε_2 := | x_2 - sqrt(a) | ≤ 2**(e-9) -- general case with k = 4.5
xn = (xn + a / xn) >> 1; // ε_3 := | x_3 - sqrt(a) | ≤ 2**(e-18) -- general case with k = 9
xn = (xn + a / xn) >> 1; // ε_4 := | x_4 - sqrt(a) | ≤ 2**(e-36) -- general case with k = 18
xn = (xn + a / xn) >> 1; // ε_5 := | x_5 - sqrt(a) | ≤ 2**(e-72) -- general case with k = 36
xn = (xn + a / xn) >> 1; // ε_6 := | x_6 - sqrt(a) | ≤ 2**(e-144) -- general case with k = 72
// Because e ≤ 128 (as discussed during the first estimation phase), we know have reached a precision
// ε_6 ≤ 2**(e-144) < 1. Given we're operating on integers, then we can ensure that xn is now either
// sqrt(a) or sqrt(a) + 1.
return xn - SafeCast.toUint(xn > a / xn);
}
}
/**
* @dev Calculates sqrt(a), following the selected rounding direction.
*/
function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
unchecked {
uint256 result = sqrt(a);
return result + SafeCast.toUint(unsignedRoundsUp(rounding) && result * result < a);
}
}
/**
* @dev Return the log in base 2 of a positive value rounded towards zero.
* Returns 0 if given 0.
*/
function log2(uint256 x) internal pure returns (uint256 r) {
// If value has upper 128 bits set, log2 result is at least 128
r = SafeCast.toUint(x > 0xffffffffffffffffffffffffffffffff) << 7;
// If upper 64 bits of 128-bit half set, add 64 to result
r |= SafeCast.toUint((x >> r) > 0xffffffffffffffff) << 6;
// If upper 32 bits of 64-bit half set, add 32 to result
r |= SafeCast.toUint((x >> r) > 0xffffffff) << 5;
// If upper 16 bits of 32-bit half set, add 16 to result
r |= SafeCast.toUint((x >> r) > 0xffff) << 4;
// If upper 8 bits of 16-bit half set, add 8 to result
r |= SafeCast.toUint((x >> r) > 0xff) << 3;
// If upper 4 bits of 8-bit half set, add 4 to result
r |= SafeCast.toUint((x >> r) > 0xf) << 2;
// Shifts value right by the current result and use it as an index into this lookup table:
//
// | x (4 bits) | index | table[index] = MSB position |
// |------------|---------|-----------------------------|
// | 0000 | 0 | table[0] = 0 |
// | 0001 | 1 | table[1] = 0 |
// | 0010 | 2 | table[2] = 1 |
// | 0011 | 3 | table[3] = 1 |
// | 0100 | 4 | table[4] = 2 |
// | 0101 | 5 | table[5] = 2 |
// | 0110 | 6 | table[6] = 2 |
// | 0111 | 7 | table[7] = 2 |
// | 1000 | 8 | table[8] = 3 |
// | 1001 | 9 | table[9] = 3 |
// | 1010 | 10 | table[10] = 3 |
// | 1011 | 11 | table[11] = 3 |
// | 1100 | 12 | table[12] = 3 |
// | 1101 | 13 | table[13] = 3 |
// | 1110 | 14 | table[14] = 3 |
// | 1111 | 15 | table[15] = 3 |
//
// The lookup table is represented as a 32-byte value with the MSB positions for 0-15 in the first 16 bytes (most significant half).
assembly ("memory-safe") {
r := or(r, byte(shr(r, x), 0x0000010102020202030303030303030300000000000000000000000000000000))
}
}
/**
* @dev Return the log in base 2, following the selected rounding direction, of a positive value.
* Returns 0 if given 0.
*/
function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
unchecked {
uint256 result = log2(value);
return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << result < value);
}
}
/**
* @dev Return the log in base 10 of a positive value rounded towards zero.
* Returns 0 if given 0.
*/
function log10(uint256 value) internal pure returns (uint256) {
uint256 result = 0;
unchecked {
if (value >= 10 ** 64) {
value /= 10 ** 64;
result += 64;
}
if (value >= 10 ** 32) {
value /= 10 ** 32;
result += 32;
}
if (value >= 10 ** 16) {
value /= 10 ** 16;
result += 16;
}
if (value >= 10 ** 8) {
value /= 10 ** 8;
result += 8;
}
if (value >= 10 ** 4) {
value /= 10 ** 4;
result += 4;
}
if (value >= 10 ** 2) {
value /= 10 ** 2;
result += 2;
}
if (value >= 10 ** 1) {
result += 1;
}
}
return result;
}
/**
* @dev Return the log in base 10, following the selected rounding direction, of a positive value.
* Returns 0 if given 0.
*/
function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
unchecked {
uint256 result = log10(value);
return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 10 ** result < value);
}
}
/**
* @dev Return the log in base 256 of a positive value rounded towards zero.
* Returns 0 if given 0.
*
* Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
*/
function log256(uint256 x) internal pure returns (uint256 r) {
// If value has upper 128 bits set, log2 result is at least 128
r = SafeCast.toUint(x > 0xffffffffffffffffffffffffffffffff) << 7;
// If upper 64 bits of 128-bit half set, add 64 to result
r |= SafeCast.toUint((x >> r) > 0xffffffffffffffff) << 6;
// If upper 32 bits of 64-bit half set, add 32 to result
r |= SafeCast.toUint((x >> r) > 0xffffffff) << 5;
// If upper 16 bits of 32-bit half set, add 16 to result
r |= SafeCast.toUint((x >> r) > 0xffff) << 4;
// Add 1 if upper 8 bits of 16-bit half set, and divide accumulated result by 8
return (r >> 3) | SafeCast.toUint((x >> r) > 0xff);
}
/**
* @dev Return the log in base 256, following the selected rounding direction, of a positive value.
* Returns 0 if given 0.
*/
function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
unchecked {
uint256 result = log256(value);
return result + SafeCast.toUint(unsignedRoundsUp(rounding) && 1 << (result << 3) < value);
}
}
/**
* @dev Returns whether a provided rounding mode is considered rounding up for unsigned integers.
*/
function unsignedRoundsUp(Rounding rounding) internal pure returns (bool) {
return uint8(rounding) % 2 == 1;
}
/**
* @dev Counts the number of leading zero bits in a uint256.
*/
function clz(uint256 x) internal pure returns (uint256) {
return ternary(x == 0, 256, 255 - log2(x));
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.6.0) (utils/math/SafeCast.sol)
// This file was procedurally generated from scripts/generate/templates/SafeCast.js.
pragma solidity ^0.8.20;
/**
* @dev Wrappers over Solidity's uintXX/intXX/bool casting operators with added overflow
* checks.
*
* Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
* easily result in undesired exploitation or bugs, since developers usually
* assume that overflows raise errors. `SafeCast` restores this intuition by
* reverting the transaction when such an operation overflows.
*
* Using this library instead of the unchecked operations eliminates an entire
* class of bugs, so it's recommended to use it always.
*/
library SafeCast {
/**
* @dev Value doesn't fit in a uint of `bits` size.
*/
error SafeCastOverflowedUintDowncast(uint8 bits, uint256 value);
/**
* @dev An int value doesn't fit in a uint of `bits` size.
*/
error SafeCastOverflowedIntToUint(int256 value);
/**
* @dev Value doesn't fit in an int of `bits` size.
*/
error SafeCastOverflowedIntDowncast(uint8 bits, int256 value);
/**
* @dev A uint value doesn't fit in an int of `bits` size.
*/
error SafeCastOverflowedUintToInt(uint256 value);
/**
* @dev Returns the downcasted uint248 from uint256, reverting on
* overflow (when the input is greater than largest uint248).
*
* Counterpart to Solidity's `uint248` operator.
*
* Requirements:
*
* - input must fit into 248 bits
*/
function toUint248(uint256 value) internal pure returns (uint248) {
if (value > type(uint248).max) {
revert SafeCastOverflowedUintDowncast(248, value);
}
return uint248(value);
}
/**
* @dev Returns the downcasted uint240 from uint256, reverting on
* overflow (when the input is greater than largest uint240).
*
* Counterpart to Solidity's `uint240` operator.
*
* Requirements:
*
* - input must fit into 240 bits
*/
function toUint240(uint256 value) internal pure returns (uint240) {
if (value > type(uint240).max) {
revert SafeCastOverflowedUintDowncast(240, value);
}
return uint240(value);
}
/**
* @dev Returns the downcasted uint232 from uint256, reverting on
* overflow (when the input is greater than largest uint232).
*
* Counterpart to Solidity's `uint232` operator.
*
* Requirements:
*
* - input must fit into 232 bits
*/
function toUint232(uint256 value) internal pure returns (uint232) {
if (value > type(uint232).max) {
revert SafeCastOverflowedUintDowncast(232, value);
}
return uint232(value);
}
/**
* @dev Returns the downcasted uint224 from uint256, reverting on
* overflow (when the input is greater than largest uint224).
*
* Counterpart to Solidity's `uint224` operator.
*
* Requirements:
*
* - input must fit into 224 bits
*/
function toUint224(uint256 value) internal pure returns (uint224) {
if (value > type(uint224).max) {
revert SafeCastOverflowedUintDowncast(224, value);
}
return uint224(value);
}
/**
* @dev Returns the downcasted uint216 from uint256, reverting on
* overflow (when the input is greater than largest uint216).
*
* Counterpart to Solidity's `uint216` operator.
*
* Requirements:
*
* - input must fit into 216 bits
*/
function toUint216(uint256 value) internal pure returns (uint216) {
if (value > type(uint216).max) {
revert SafeCastOverflowedUintDowncast(216, value);
}
return uint216(value);
}
/**
* @dev Returns the downcasted uint208 from uint256, reverting on
* overflow (when the input is greater than largest uint208).
*
* Counterpart to Solidity's `uint208` operator.
*
* Requirements:
*
* - input must fit into 208 bits
*/
function toUint208(uint256 value) internal pure returns (uint208) {
if (value > type(uint208).max) {
revert SafeCastOverflowedUintDowncast(208, value);
}
return uint208(value);
}
/**
* @dev Returns the downcasted uint200 from uint256, reverting on
* overflow (when the input is greater than largest uint200).
*
* Counterpart to Solidity's `uint200` operator.
*
* Requirements:
*
* - input must fit into 200 bits
*/
function toUint200(uint256 value) internal pure returns (uint200) {
if (value > type(uint200).max) {
revert SafeCastOverflowedUintDowncast(200, value);
}
return uint200(value);
}
/**
* @dev Returns the downcasted uint192 from uint256, reverting on
* overflow (when the input is greater than largest uint192).
*
* Counterpart to Solidity's `uint192` operator.
*
* Requirements:
*
* - input must fit into 192 bits
*/
function toUint192(uint256 value) internal pure returns (uint192) {
if (value > type(uint192).max) {
revert SafeCastOverflowedUintDowncast(192, value);
}
return uint192(value);
}
/**
* @dev Returns the downcasted uint184 from uint256, reverting on
* overflow (when the input is greater than largest uint184).
*
* Counterpart to Solidity's `uint184` operator.
*
* Requirements:
*
* - input must fit into 184 bits
*/
function toUint184(uint256 value) internal pure returns (uint184) {
if (value > type(uint184).max) {
revert SafeCastOverflowedUintDowncast(184, value);
}
return uint184(value);
}
/**
* @dev Returns the downcasted uint176 from uint256, reverting on
* overflow (when the input is greater than largest uint176).
*
* Counterpart to Solidity's `uint176` operator.
*
* Requirements:
*
* - input must fit into 176 bits
*/
function toUint176(uint256 value) internal pure returns (uint176) {
if (value > type(uint176).max) {
revert SafeCastOverflowedUintDowncast(176, value);
}
return uint176(value);
}
/**
* @dev Returns the downcasted uint168 from uint256, reverting on
* overflow (when the input is greater than largest uint168).
*
* Counterpart to Solidity's `uint168` operator.
*
* Requirements:
*
* - input must fit into 168 bits
*/
function toUint168(uint256 value) internal pure returns (uint168) {
if (value > type(uint168).max) {
revert SafeCastOverflowedUintDowncast(168, value);
}
return uint168(value);
}
/**
* @dev Returns the downcasted uint160 from uint256, reverting on
* overflow (when the input is greater than largest uint160).
*
* Counterpart to Solidity's `uint160` operator.
*
* Requirements:
*
* - input must fit into 160 bits
*/
function toUint160(uint256 value) internal pure returns (uint160) {
if (value > type(uint160).max) {
revert SafeCastOverflowedUintDowncast(160, value);
}
return uint160(value);
}
/**
* @dev Returns the downcasted uint152 from uint256, reverting on
* overflow (when the input is greater than largest uint152).
*
* Counterpart to Solidity's `uint152` operator.
*
* Requirements:
*
* - input must fit into 152 bits
*/
function toUint152(uint256 value) internal pure returns (uint152) {
if (value > type(uint152).max) {
revert SafeCastOverflowedUintDowncast(152, value);
}
return uint152(value);
}
/**
* @dev Returns the downcasted uint144 from uint256, reverting on
* overflow (when the input is greater than largest uint144).
*
* Counterpart to Solidity's `uint144` operator.
*
* Requirements:
*
* - input must fit into 144 bits
*/
function toUint144(uint256 value) internal pure returns (uint144) {
if (value > type(uint144).max) {
revert SafeCastOverflowedUintDowncast(144, value);
}
return uint144(value);
}
/**
* @dev Returns the downcasted uint136 from uint256, reverting on
* overflow (when the input is greater than largest uint136).
*
* Counterpart to Solidity's `uint136` operator.
*
* Requirements:
*
* - input must fit into 136 bits
*/
function toUint136(uint256 value) internal pure returns (uint136) {
if (value > type(uint136).max) {
revert SafeCastOverflowedUintDowncast(136, value);
}
return uint136(value);
}
/**
* @dev Returns the downcasted uint128 from uint256, reverting on
* overflow (when the input is greater than largest uint128).
*
* Counterpart to Solidity's `uint128` operator.
*
* Requirements:
*
* - input must fit into 128 bits
*/
function toUint128(uint256 value) internal pure returns (uint128) {
if (value > type(uint128).max) {
revert SafeCastOverflowedUintDowncast(128, value);
}
return uint128(value);
}
/**
* @dev Returns the downcasted uint120 from uint256, reverting on
* overflow (when the input is greater than largest uint120).
*
* Counterpart to Solidity's `uint120` operator.
*
* Requirements:
*
* - input must fit into 120 bits
*/
function toUint120(uint256 value) internal pure returns (uint120) {
if (value > type(uint120).max) {
revert SafeCastOverflowedUintDowncast(120, value);
}
return uint120(value);
}
/**
* @dev Returns the downcasted uint112 from uint256, reverting on
* overflow (when the input is greater than largest uint112).
*
* Counterpart to Solidity's `uint112` operator.
*
* Requirements:
*
* - input must fit into 112 bits
*/
function toUint112(uint256 value) internal pure returns (uint112) {
if (value > type(uint112).max) {
revert SafeCastOverflowedUintDowncast(112, value);
}
return uint112(value);
}
/**
* @dev Returns the downcasted uint104 from uint256, reverting on
* overflow (when the input is greater than largest uint104).
*
* Counterpart to Solidity's `uint104` operator.
*
* Requirements:
*
* - input must fit into 104 bits
*/
function toUint104(uint256 value) internal pure returns (uint104) {
if (value > type(uint104).max) {
revert SafeCastOverflowedUintDowncast(104, value);
}
return uint104(value);
}
/**
* @dev Returns the downcasted uint96 from uint256, reverting on
* overflow (when the input is greater than largest uint96).
*
* Counterpart to Solidity's `uint96` operator.
*
* Requirements:
*
* - input must fit into 96 bits
*/
function toUint96(uint256 value) internal pure returns (uint96) {
if (value > type(uint96).max) {
revert SafeCastOverflowedUintDowncast(96, value);
}
return uint96(value);
}
/**
* @dev Returns the downcasted uint88 from uint256, reverting on
* overflow (when the input is greater than largest uint88).
*
* Counterpart to Solidity's `uint88` operator.
*
* Requirements:
*
* - input must fit into 88 bits
*/
function toUint88(uint256 value) internal pure returns (uint88) {
if (value > type(uint88).max) {
revert SafeCastOverflowedUintDowncast(88, value);
}
return uint88(value);
}
/**
* @dev Returns the downcasted uint80 from uint256, reverting on
* overflow (when the input is greater than largest uint80).
*
* Counterpart to Solidity's `uint80` operator.
*
* Requirements:
*
* - input must fit into 80 bits
*/
function toUint80(uint256 value) internal pure returns (uint80) {
if (value > type(uint80).max) {
revert SafeCastOverflowedUintDowncast(80, value);
}
return uint80(value);
}
/**
* @dev Returns the downcasted uint72 from uint256, reverting on
* overflow (when the input is greater than largest uint72).
*
* Counterpart to Solidity's `uint72` operator.
*
* Requirements:
*
* - input must fit into 72 bits
*/
function toUint72(uint256 value) internal pure returns (uint72) {
if (value > type(uint72).max) {
revert SafeCastOverflowedUintDowncast(72, value);
}
return uint72(value);
}
/**
* @dev Returns the downcasted uint64 from uint256, reverting on
* overflow (when the input is greater than largest uint64).
*
* Counterpart to Solidity's `uint64` operator.
*
* Requirements:
*
* - input must fit into 64 bits
*/
function toUint64(uint256 value) internal pure returns (uint64) {
if (value > type(uint64).max) {
revert SafeCastOverflowedUintDowncast(64, value);
}
return uint64(value);
}
/**
* @dev Returns the downcasted uint56 from uint256, reverting on
* overflow (when the input is greater than largest uint56).
*
* Counterpart to Solidity's `uint56` operator.
*
* Requirements:
*
* - input must fit into 56 bits
*/
function toUint56(uint256 value) internal pure returns (uint56) {
if (value > type(uint56).max) {
revert SafeCastOverflowedUintDowncast(56, value);
}
return uint56(value);
}
/**
* @dev Returns the downcasted uint48 from uint256, reverting on
* overflow (when the input is greater than largest uint48).
*
* Counterpart to Solidity's `uint48` operator.
*
* Requirements:
*
* - input must fit into 48 bits
*/
function toUint48(uint256 value) internal pure returns (uint48) {
if (value > type(uint48).max) {
revert SafeCastOverflowedUintDowncast(48, value);
}
return uint48(value);
}
/**
* @dev Returns the downcasted uint40 from uint256, reverting on
* overflow (when the input is greater than largest uint40).
*
* Counterpart to Solidity's `uint40` operator.
*
* Requirements:
*
* - input must fit into 40 bits
*/
function toUint40(uint256 value) internal pure returns (uint40) {
if (value > type(uint40).max) {
revert SafeCastOverflowedUintDowncast(40, value);
}
return uint40(value);
}
/**
* @dev Returns the downcasted uint32 from uint256, reverting on
* overflow (when the input is greater than largest uint32).
*
* Counterpart to Solidity's `uint32` operator.
*
* Requirements:
*
* - input must fit into 32 bits
*/
function toUint32(uint256 value) internal pure returns (uint32) {
if (value > type(uint32).max) {
revert SafeCastOverflowedUintDowncast(32, value);
}
return uint32(value);
}
/**
* @dev Returns the downcasted uint24 from uint256, reverting on
* overflow (when the input is greater than largest uint24).
*
* Counterpart to Solidity's `uint24` operator.
*
* Requirements:
*
* - input must fit into 24 bits
*/
function toUint24(uint256 value) internal pure returns (uint24) {
if (value > type(uint24).max) {
revert SafeCastOverflowedUintDowncast(24, value);
}
return uint24(value);
}
/**
* @dev Returns the downcasted uint16 from uint256, reverting on
* overflow (when the input is greater than largest uint16).
*
* Counterpart to Solidity's `uint16` operator.
*
* Requirements:
*
* - input must fit into 16 bits
*/
function toUint16(uint256 value) internal pure returns (uint16) {
if (value > type(uint16).max) {
revert SafeCastOverflowedUintDowncast(16, value);
}
return uint16(value);
}
/**
* @dev Returns the downcasted uint8 from uint256, reverting on
* overflow (when the input is greater than largest uint8).
*
* Counterpart to Solidity's `uint8` operator.
*
* Requirements:
*
* - input must fit into 8 bits
*/
function toUint8(uint256 value) internal pure returns (uint8) {
if (value > type(uint8).max) {
revert SafeCastOverflowedUintDowncast(8, value);
}
return uint8(value);
}
/**
* @dev Converts a signed int256 into an unsigned uint256.
*
* Requirements:
*
* - input must be greater than or equal to 0.
*/
function toUint256(int256 value) internal pure returns (uint256) {
if (value < 0) {
revert SafeCastOverflowedIntToUint(value);
}
return uint256(value);
}
/**
* @dev Returns the downcasted int248 from int256, reverting on
* overflow (when the input is less than smallest int248 or
* greater than largest int248).
*
* Counterpart to Solidity's `int248` operator.
*
* Requirements:
*
* - input must fit into 248 bits
*/
function toInt248(int256 value) internal pure returns (int248 downcasted) {
downcasted = int248(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(248, value);
}
}
/**
* @dev Returns the downcasted int240 from int256, reverting on
* overflow (when the input is less than smallest int240 or
* greater than largest int240).
*
* Counterpart to Solidity's `int240` operator.
*
* Requirements:
*
* - input must fit into 240 bits
*/
function toInt240(int256 value) internal pure returns (int240 downcasted) {
downcasted = int240(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(240, value);
}
}
/**
* @dev Returns the downcasted int232 from int256, reverting on
* overflow (when the input is less than smallest int232 or
* greater than largest int232).
*
* Counterpart to Solidity's `int232` operator.
*
* Requirements:
*
* - input must fit into 232 bits
*/
function toInt232(int256 value) internal pure returns (int232 downcasted) {
downcasted = int232(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(232, value);
}
}
/**
* @dev Returns the downcasted int224 from int256, reverting on
* overflow (when the input is less than smallest int224 or
* greater than largest int224).
*
* Counterpart to Solidity's `int224` operator.
*
* Requirements:
*
* - input must fit into 224 bits
*/
function toInt224(int256 value) internal pure returns (int224 downcasted) {
downcasted = int224(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(224, value);
}
}
/**
* @dev Returns the downcasted int216 from int256, reverting on
* overflow (when the input is less than smallest int216 or
* greater than largest int216).
*
* Counterpart to Solidity's `int216` operator.
*
* Requirements:
*
* - input must fit into 216 bits
*/
function toInt216(int256 value) internal pure returns (int216 downcasted) {
downcasted = int216(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(216, value);
}
}
/**
* @dev Returns the downcasted int208 from int256, reverting on
* overflow (when the input is less than smallest int208 or
* greater than largest int208).
*
* Counterpart to Solidity's `int208` operator.
*
* Requirements:
*
* - input must fit into 208 bits
*/
function toInt208(int256 value) internal pure returns (int208 downcasted) {
downcasted = int208(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(208, value);
}
}
/**
* @dev Returns the downcasted int200 from int256, reverting on
* overflow (when the input is less than smallest int200 or
* greater than largest int200).
*
* Counterpart to Solidity's `int200` operator.
*
* Requirements:
*
* - input must fit into 200 bits
*/
function toInt200(int256 value) internal pure returns (int200 downcasted) {
downcasted = int200(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(200, value);
}
}
/**
* @dev Returns the downcasted int192 from int256, reverting on
* overflow (when the input is less than smallest int192 or
* greater than largest int192).
*
* Counterpart to Solidity's `int192` operator.
*
* Requirements:
*
* - input must fit into 192 bits
*/
function toInt192(int256 value) internal pure returns (int192 downcasted) {
downcasted = int192(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(192, value);
}
}
/**
* @dev Returns the downcasted int184 from int256, reverting on
* overflow (when the input is less than smallest int184 or
* greater than largest int184).
*
* Counterpart to Solidity's `int184` operator.
*
* Requirements:
*
* - input must fit into 184 bits
*/
function toInt184(int256 value) internal pure returns (int184 downcasted) {
downcasted = int184(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(184, value);
}
}
/**
* @dev Returns the downcasted int176 from int256, reverting on
* overflow (when the input is less than smallest int176 or
* greater than largest int176).
*
* Counterpart to Solidity's `int176` operator.
*
* Requirements:
*
* - input must fit into 176 bits
*/
function toInt176(int256 value) internal pure returns (int176 downcasted) {
downcasted = int176(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(176, value);
}
}
/**
* @dev Returns the downcasted int168 from int256, reverting on
* overflow (when the input is less than smallest int168 or
* greater than largest int168).
*
* Counterpart to Solidity's `int168` operator.
*
* Requirements:
*
* - input must fit into 168 bits
*/
function toInt168(int256 value) internal pure returns (int168 downcasted) {
downcasted = int168(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(168, value);
}
}
/**
* @dev Returns the downcasted int160 from int256, reverting on
* overflow (when the input is less than smallest int160 or
* greater than largest int160).
*
* Counterpart to Solidity's `int160` operator.
*
* Requirements:
*
* - input must fit into 160 bits
*/
function toInt160(int256 value) internal pure returns (int160 downcasted) {
downcasted = int160(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(160, value);
}
}
/**
* @dev Returns the downcasted int152 from int256, reverting on
* overflow (when the input is less than smallest int152 or
* greater than largest int152).
*
* Counterpart to Solidity's `int152` operator.
*
* Requirements:
*
* - input must fit into 152 bits
*/
function toInt152(int256 value) internal pure returns (int152 downcasted) {
downcasted = int152(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(152, value);
}
}
/**
* @dev Returns the downcasted int144 from int256, reverting on
* overflow (when the input is less than smallest int144 or
* greater than largest int144).
*
* Counterpart to Solidity's `int144` operator.
*
* Requirements:
*
* - input must fit into 144 bits
*/
function toInt144(int256 value) internal pure returns (int144 downcasted) {
downcasted = int144(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(144, value);
}
}
/**
* @dev Returns the downcasted int136 from int256, reverting on
* overflow (when the input is less than smallest int136 or
* greater than largest int136).
*
* Counterpart to Solidity's `int136` operator.
*
* Requirements:
*
* - input must fit into 136 bits
*/
function toInt136(int256 value) internal pure returns (int136 downcasted) {
downcasted = int136(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(136, value);
}
}
/**
* @dev Returns the downcasted int128 from int256, reverting on
* overflow (when the input is less than smallest int128 or
* greater than largest int128).
*
* Counterpart to Solidity's `int128` operator.
*
* Requirements:
*
* - input must fit into 128 bits
*/
function toInt128(int256 value) internal pure returns (int128 downcasted) {
downcasted = int128(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(128, value);
}
}
/**
* @dev Returns the downcasted int120 from int256, reverting on
* overflow (when the input is less than smallest int120 or
* greater than largest int120).
*
* Counterpart to Solidity's `int120` operator.
*
* Requirements:
*
* - input must fit into 120 bits
*/
function toInt120(int256 value) internal pure returns (int120 downcasted) {
downcasted = int120(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(120, value);
}
}
/**
* @dev Returns the downcasted int112 from int256, reverting on
* overflow (when the input is less than smallest int112 or
* greater than largest int112).
*
* Counterpart to Solidity's `int112` operator.
*
* Requirements:
*
* - input must fit into 112 bits
*/
function toInt112(int256 value) internal pure returns (int112 downcasted) {
downcasted = int112(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(112, value);
}
}
/**
* @dev Returns the downcasted int104 from int256, reverting on
* overflow (when the input is less than smallest int104 or
* greater than largest int104).
*
* Counterpart to Solidity's `int104` operator.
*
* Requirements:
*
* - input must fit into 104 bits
*/
function toInt104(int256 value) internal pure returns (int104 downcasted) {
downcasted = int104(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(104, value);
}
}
/**
* @dev Returns the downcasted int96 from int256, reverting on
* overflow (when the input is less than smallest int96 or
* greater than largest int96).
*
* Counterpart to Solidity's `int96` operator.
*
* Requirements:
*
* - input must fit into 96 bits
*/
function toInt96(int256 value) internal pure returns (int96 downcasted) {
downcasted = int96(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(96, value);
}
}
/**
* @dev Returns the downcasted int88 from int256, reverting on
* overflow (when the input is less than smallest int88 or
* greater than largest int88).
*
* Counterpart to Solidity's `int88` operator.
*
* Requirements:
*
* - input must fit into 88 bits
*/
function toInt88(int256 value) internal pure returns (int88 downcasted) {
downcasted = int88(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(88, value);
}
}
/**
* @dev Returns the downcasted int80 from int256, reverting on
* overflow (when the input is less than smallest int80 or
* greater than largest int80).
*
* Counterpart to Solidity's `int80` operator.
*
* Requirements:
*
* - input must fit into 80 bits
*/
function toInt80(int256 value) internal pure returns (int80 downcasted) {
downcasted = int80(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(80, value);
}
}
/**
* @dev Returns the downcasted int72 from int256, reverting on
* overflow (when the input is less than smallest int72 or
* greater than largest int72).
*
* Counterpart to Solidity's `int72` operator.
*
* Requirements:
*
* - input must fit into 72 bits
*/
function toInt72(int256 value) internal pure returns (int72 downcasted) {
downcasted = int72(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(72, value);
}
}
/**
* @dev Returns the downcasted int64 from int256, reverting on
* overflow (when the input is less than smallest int64 or
* greater than largest int64).
*
* Counterpart to Solidity's `int64` operator.
*
* Requirements:
*
* - input must fit into 64 bits
*/
function toInt64(int256 value) internal pure returns (int64 downcasted) {
downcasted = int64(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(64, value);
}
}
/**
* @dev Returns the downcasted int56 from int256, reverting on
* overflow (when the input is less than smallest int56 or
* greater than largest int56).
*
* Counterpart to Solidity's `int56` operator.
*
* Requirements:
*
* - input must fit into 56 bits
*/
function toInt56(int256 value) internal pure returns (int56 downcasted) {
downcasted = int56(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(56, value);
}
}
/**
* @dev Returns the downcasted int48 from int256, reverting on
* overflow (when the input is less than smallest int48 or
* greater than largest int48).
*
* Counterpart to Solidity's `int48` operator.
*
* Requirements:
*
* - input must fit into 48 bits
*/
function toInt48(int256 value) internal pure returns (int48 downcasted) {
downcasted = int48(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(48, value);
}
}
/**
* @dev Returns the downcasted int40 from int256, reverting on
* overflow (when the input is less than smallest int40 or
* greater than largest int40).
*
* Counterpart to Solidity's `int40` operator.
*
* Requirements:
*
* - input must fit into 40 bits
*/
function toInt40(int256 value) internal pure returns (int40 downcasted) {
downcasted = int40(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(40, value);
}
}
/**
* @dev Returns the downcasted int32 from int256, reverting on
* overflow (when the input is less than smallest int32 or
* greater than largest int32).
*
* Counterpart to Solidity's `int32` operator.
*
* Requirements:
*
* - input must fit into 32 bits
*/
function toInt32(int256 value) internal pure returns (int32 downcasted) {
downcasted = int32(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(32, value);
}
}
/**
* @dev Returns the downcasted int24 from int256, reverting on
* overflow (when the input is less than smallest int24 or
* greater than largest int24).
*
* Counterpart to Solidity's `int24` operator.
*
* Requirements:
*
* - input must fit into 24 bits
*/
function toInt24(int256 value) internal pure returns (int24 downcasted) {
downcasted = int24(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(24, value);
}
}
/**
* @dev Returns the downcasted int16 from int256, reverting on
* overflow (when the input is less than smallest int16 or
* greater than largest int16).
*
* Counterpart to Solidity's `int16` operator.
*
* Requirements:
*
* - input must fit into 16 bits
*/
function toInt16(int256 value) internal pure returns (int16 downcasted) {
downcasted = int16(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(16, value);
}
}
/**
* @dev Returns the downcasted int8 from int256, reverting on
* overflow (when the input is less than smallest int8 or
* greater than largest int8).
*
* Counterpart to Solidity's `int8` operator.
*
* Requirements:
*
* - input must fit into 8 bits
*/
function toInt8(int256 value) internal pure returns (int8 downcasted) {
downcasted = int8(value);
if (downcasted != value) {
revert SafeCastOverflowedIntDowncast(8, value);
}
}
/**
* @dev Converts an unsigned uint256 into a signed int256.
*
* Requirements:
*
* - input must be less than or equal to maxInt256.
*/
function toInt256(uint256 value) internal pure returns (int256) {
// Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
if (value > uint256(type(int256).max)) {
revert SafeCastOverflowedUintToInt(value);
}
return int256(value);
}
/**
* @dev Cast a boolean (false or true) to a uint256 (0 or 1) with no jump.
*/
function toUint(bool b) internal pure returns (uint256 u) {
assembly ("memory-safe") {
u := iszero(iszero(b))
}
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/math/SignedMath.sol)
pragma solidity ^0.8.20;
import {SafeCast} from "./SafeCast.sol";
/**
* @dev Standard signed math utilities missing in the Solidity language.
*/
library SignedMath {
/**
* @dev Branchless ternary evaluation for `a ? b : c`. Gas costs are constant.
*
* IMPORTANT: This function may reduce bytecode size and consume less gas when used standalone.
* However, the compiler may optimize Solidity ternary operations (i.e. `a ? b : c`) to only compute
* one branch when needed, making this function more expensive.
*/
function ternary(bool condition, int256 a, int256 b) internal pure returns (int256) {
unchecked {
// branchless ternary works because:
// b ^ (a ^ b) == a
// b ^ 0 == b
return b ^ ((a ^ b) * int256(SafeCast.toUint(condition)));
}
}
/**
* @dev Returns the largest of two signed numbers.
*/
function max(int256 a, int256 b) internal pure returns (int256) {
return ternary(a > b, a, b);
}
/**
* @dev Returns the smallest of two signed numbers.
*/
function min(int256 a, int256 b) internal pure returns (int256) {
return ternary(a < b, a, b);
}
/**
* @dev Returns the average of two signed numbers without overflow.
* The result is rounded towards zero.
*/
function average(int256 a, int256 b) internal pure returns (int256) {
// Formula from the book "Hacker's Delight"
int256 x = (a & b) + ((a ^ b) >> 1);
return x + (int256(uint256(x) >> 255) & (a ^ b));
}
/**
* @dev Returns the absolute unsigned value of a signed value.
*/
function abs(int256 n) internal pure returns (uint256) {
unchecked {
// Formula from the "Bit Twiddling Hacks" by Sean Eron Anderson.
// Since `n` is a signed integer, the generated bytecode will use the SAR opcode to perform the right shift,
// taking advantage of the most significant (or "sign" bit) in two's complement representation.
// This opcode adds new most significant bits set to the value of the previous most significant bit. As a result,
// the mask will either be `bytes32(0)` (if n is positive) or `~bytes32(0)` (if n is negative).
int256 mask = n >> 255;
// A `bytes32(0)` mask leaves the input unchanged, while a `~bytes32(0)` mask complements it.
return uint256((n + mask) ^ mask);
}
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.6.0) (utils/Bytes.sol)
pragma solidity ^0.8.24;
import {Math} from "./math/Math.sol";
/**
* @dev Bytes operations.
*/
library Bytes {
/**
* @dev Forward search for `s` in `buffer`
* * If `s` is present in the buffer, returns the index of the first instance
* * If `s` is not present in the buffer, returns type(uint256).max
*
* NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/indexOf[Javascript's `Array.indexOf`]
*/
function indexOf(bytes memory buffer, bytes1 s) internal pure returns (uint256) {
return indexOf(buffer, s, 0);
}
/**
* @dev Forward search for `s` in `buffer` starting at position `pos`
* * If `s` is present in the buffer (at or after `pos`), returns the index of the next instance
* * If `s` is not present in the buffer (at or after `pos`), returns type(uint256).max
*
* NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/indexOf[Javascript's `Array.indexOf`]
*/
function indexOf(bytes memory buffer, bytes1 s, uint256 pos) internal pure returns (uint256) {
uint256 length = buffer.length;
for (uint256 i = pos; i < length; ++i) {
if (bytes1(_unsafeReadBytesOffset(buffer, i)) == s) {
return i;
}
}
return type(uint256).max;
}
/**
* @dev Backward search for `s` in `buffer`
* * If `s` is present in the buffer, returns the index of the last instance
* * If `s` is not present in the buffer, returns type(uint256).max
*
* NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/lastIndexOf[Javascript's `Array.lastIndexOf`]
*/
function lastIndexOf(bytes memory buffer, bytes1 s) internal pure returns (uint256) {
return lastIndexOf(buffer, s, type(uint256).max);
}
/**
* @dev Backward search for `s` in `buffer` starting at position `pos`
* * If `s` is present in the buffer (at or before `pos`), returns the index of the previous instance
* * If `s` is not present in the buffer (at or before `pos`), returns type(uint256).max
*
* NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/lastIndexOf[Javascript's `Array.lastIndexOf`]
*/
function lastIndexOf(bytes memory buffer, bytes1 s, uint256 pos) internal pure returns (uint256) {
unchecked {
uint256 length = buffer.length;
for (uint256 i = Math.min(Math.saturatingAdd(pos, 1), length); i > 0; --i) {
if (bytes1(_unsafeReadBytesOffset(buffer, i - 1)) == s) {
return i - 1;
}
}
return type(uint256).max;
}
}
/**
* @dev Copies the content of `buffer`, from `start` (included) to the end of `buffer` into a new bytes object in
* memory.
*
* NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/slice[Javascript's `Array.slice`]
*/
function slice(bytes memory buffer, uint256 start) internal pure returns (bytes memory) {
return slice(buffer, start, buffer.length);
}
/**
* @dev Copies the content of `buffer`, from `start` (included) to `end` (excluded) into a new bytes object in
* memory. The `end` argument is truncated to the length of the `buffer`.
*
* NOTE: replicates the behavior of https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/slice[Javascript's `Array.slice`]
*/
function slice(bytes memory buffer, uint256 start, uint256 end) internal pure returns (bytes memory) {
// sanitize
end = Math.min(end, buffer.length);
start = Math.min(start, end);
// allocate and copy
bytes memory result = new bytes(end - start);
assembly ("memory-safe") {
mcopy(add(result, 0x20), add(add(buffer, 0x20), start), sub(end, start))
}
return result;
}
/**
* @dev Moves the content of `buffer`, from `start` (included) to the end of `buffer` to the start of that buffer,
* and shrinks the buffer length accordingly, effectively overriding the content of buffer with buffer[start:].
*
* NOTE: This function modifies the provided buffer in place. If you need to preserve the original buffer, use {slice} instead
*/
function splice(bytes memory buffer, uint256 start) internal pure returns (bytes memory) {
return splice(buffer, start, buffer.length);
}
/**
* @dev Moves the content of `buffer`, from `start` (included) to `end` (excluded) to the start of that buffer,
* and shrinks the buffer length accordingly, effectively overriding the content of buffer with buffer[start:end].
* The `end` argument is truncated to the length of the `buffer`.
*
* NOTE: This function modifies the provided buffer in place. If you need to preserve the original buffer, use {slice} instead
*/
function splice(bytes memory buffer, uint256 start, uint256 end) internal pure returns (bytes memory) {
// sanitize
end = Math.min(end, buffer.length);
start = Math.min(start, end);
// move and resize
assembly ("memory-safe") {
mcopy(add(buffer, 0x20), add(add(buffer, 0x20), start), sub(end, start))
mstore(buffer, sub(end, start))
}
return buffer;
}
/**
* @dev Replaces bytes in `buffer` starting at `pos` with all bytes from `replacement`.
*
* Parameters are clamped to valid ranges (i.e. `pos` is clamped to `[0, buffer.length]`).
* If `pos >= buffer.length`, no replacement occurs and the buffer is returned unchanged.
*
* NOTE: This function modifies the provided buffer in place.
*/
function replace(bytes memory buffer, uint256 pos, bytes memory replacement) internal pure returns (bytes memory) {
return replace(buffer, pos, replacement, 0, replacement.length);
}
/**
* @dev Replaces bytes in `buffer` starting at `pos` with bytes from `replacement` starting at `offset`.
* Copies at most `length` bytes from `replacement` to `buffer`.
*
* Parameters are clamped to valid ranges (i.e. `pos` is clamped to `[0, buffer.length]`, `offset` is
* clamped to `[0, replacement.length]`, and `length` is clamped to `min(length, replacement.length - offset,
* buffer.length - pos))`. If `pos >= buffer.length` or `offset >= replacement.length`, no replacement occurs
* and the buffer is returned unchanged.
*
* NOTE: This function modifies the provided buffer in place.
*/
function replace(
bytes memory buffer,
uint256 pos,
bytes memory replacement,
uint256 offset,
uint256 length
) internal pure returns (bytes memory) {
// sanitize
pos = Math.min(pos, buffer.length);
offset = Math.min(offset, replacement.length);
length = Math.min(length, Math.min(replacement.length - offset, buffer.length - pos));
// replace
assembly ("memory-safe") {
mcopy(add(add(buffer, 0x20), pos), add(add(replacement, 0x20), offset), length)
}
return buffer;
}
/**
* @dev Concatenate an array of bytes into a single bytes object.
*
* For fixed bytes types, we recommend using the solidity built-in `bytes.concat` or (equivalent)
* `abi.encodePacked`.
*
* NOTE: this could be done in assembly with a single loop that expands starting at the FMP, but that would be
* significantly less readable. It might be worth benchmarking the savings of the full-assembly approach.
*/
function concat(bytes[] memory buffers) internal pure returns (bytes memory) {
uint256 length = 0;
for (uint256 i = 0; i < buffers.length; ++i) {
length += buffers[i].length;
}
bytes memory result = new bytes(length);
uint256 offset = 0x20;
for (uint256 i = 0; i < buffers.length; ++i) {
bytes memory input = buffers[i];
assembly ("memory-safe") {
mcopy(add(result, offset), add(input, 0x20), mload(input))
}
unchecked {
offset += input.length;
}
}
return result;
}
/**
* @dev Split each byte in `input` into two nibbles (4 bits each)
*
* Example: hex"01234567" → hex"0001020304050607"
*/
function toNibbles(bytes memory input) internal pure returns (bytes memory output) {
assembly ("memory-safe") {
let length := mload(input)
output := mload(0x40)
mstore(0x40, add(add(output, 0x20), mul(length, 2)))
mstore(output, mul(length, 2))
for {
let i := 0
} lt(i, length) {
i := add(i, 0x10)
} {
let chunk := shr(128, mload(add(add(input, 0x20), i)))
chunk := and(
0x0000000000000000ffffffffffffffff0000000000000000ffffffffffffffff,
or(shl(64, chunk), chunk)
)
chunk := and(
0x00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff,
or(shl(32, chunk), chunk)
)
chunk := and(
0x0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff,
or(shl(16, chunk), chunk)
)
chunk := and(
0x00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff,
or(shl(8, chunk), chunk)
)
chunk := and(
0x0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f,
or(shl(4, chunk), chunk)
)
mstore(add(add(output, 0x20), mul(i, 2)), chunk)
}
}
}
/**
* @dev Returns true if the two byte buffers are equal.
*/
function equal(bytes memory a, bytes memory b) internal pure returns (bool) {
return a.length == b.length && keccak256(a) == keccak256(b);
}
/**
* @dev Reverses the byte order of a bytes32 value, converting between little-endian and big-endian.
* Inspired by https://graphics.stanford.edu/~seander/bithacks.html#ReverseParallel[Reverse Parallel]
*/
function reverseBytes32(bytes32 value) internal pure returns (bytes32) {
value = // swap bytes
((value >> 8) & 0x00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF) |
((value & 0x00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF00FF) << 8);
value = // swap 2-byte long pairs
((value >> 16) & 0x0000FFFF0000FFFF0000FFFF0000FFFF0000FFFF0000FFFF0000FFFF0000FFFF) |
((value & 0x0000FFFF0000FFFF0000FFFF0000FFFF0000FFFF0000FFFF0000FFFF0000FFFF) << 16);
value = // swap 4-byte long pairs
((value >> 32) & 0x00000000FFFFFFFF00000000FFFFFFFF00000000FFFFFFFF00000000FFFFFFFF) |
((value & 0x00000000FFFFFFFF00000000FFFFFFFF00000000FFFFFFFF00000000FFFFFFFF) << 32);
value = // swap 8-byte long pairs
((value >> 64) & 0x0000000000000000FFFFFFFFFFFFFFFF0000000000000000FFFFFFFFFFFFFFFF) |
((value & 0x0000000000000000FFFFFFFFFFFFFFFF0000000000000000FFFFFFFFFFFFFFFF) << 64);
return (value >> 128) | (value << 128); // swap 16-byte long pairs
}
/// @dev Same as {reverseBytes32} but optimized for 128-bit values.
function reverseBytes16(bytes16 value) internal pure returns (bytes16) {
value = // swap bytes
((value & 0xFF00FF00FF00FF00FF00FF00FF00FF00) >> 8) |
((value & 0x00FF00FF00FF00FF00FF00FF00FF00FF) << 8);
value = // swap 2-byte long pairs
((value & 0xFFFF0000FFFF0000FFFF0000FFFF0000) >> 16) |
((value & 0x0000FFFF0000FFFF0000FFFF0000FFFF) << 16);
value = // swap 4-byte long pairs
((value & 0xFFFFFFFF00000000FFFFFFFF00000000) >> 32) |
((value & 0x00000000FFFFFFFF00000000FFFFFFFF) << 32);
return (value >> 64) | (value << 64); // swap 8-byte long pairs
}
/// @dev Same as {reverseBytes32} but optimized for 64-bit values.
function reverseBytes8(bytes8 value) internal pure returns (bytes8) {
value = ((value & 0xFF00FF00FF00FF00) >> 8) | ((value & 0x00FF00FF00FF00FF) << 8); // swap bytes
value = ((value & 0xFFFF0000FFFF0000) >> 16) | ((value & 0x0000FFFF0000FFFF) << 16); // swap 2-byte long pairs
return (value >> 32) | (value << 32); // swap 4-byte long pairs
}
/// @dev Same as {reverseBytes32} but optimized for 32-bit values.
function reverseBytes4(bytes4 value) internal pure returns (bytes4) {
value = ((value & 0xFF00FF00) >> 8) | ((value & 0x00FF00FF) << 8); // swap bytes
return (value >> 16) | (value << 16); // swap 2-byte long pairs
}
/// @dev Same as {reverseBytes32} but optimized for 16-bit values.
function reverseBytes2(bytes2 value) internal pure returns (bytes2) {
return (value >> 8) | (value << 8);
}
/**
* @dev Counts the number of leading zero bits a bytes array. Returns `8 * buffer.length`
* if the buffer is all zeros.
*/
function clz(bytes memory buffer) internal pure returns (uint256) {
for (uint256 i = 0; i < buffer.length; i += 0x20) {
bytes32 chunk = _unsafeReadBytesOffset(buffer, i);
if (chunk != bytes32(0)) {
return Math.min(8 * i + Math.clz(uint256(chunk)), 8 * buffer.length);
}
}
return 8 * buffer.length;
}
/**
* @dev Reads a bytes32 from a bytes array without bounds checking.
*
* NOTE: making this function internal would mean it could be used with memory unsafe offset, and marking the
* assembly block as such would prevent some optimizations.
*/
function _unsafeReadBytesOffset(bytes memory buffer, uint256 offset) private pure returns (bytes32 value) {
// This is not memory safe in the general case, but all calls to this private function are within bounds.
assembly ("memory-safe") {
value := mload(add(add(buffer, 0x20), offset))
}
}
} <i class='far fa-question-circle text-muted ms-2' data-bs-trigger='hover' data-bs-toggle='tooltip' data-bs-html='true' data-bs-title='Click on the check box to select individual contract to compare. Only 1 contract can be selected from each side.'></i>
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v5.1.0) (utils/Panic.sol)
pragma solidity ^0.8.20;
/**
* @dev Helper library for emitting standardized panic codes.
*
* ```solidity
* contract Example {
* using Panic for uint256;
*
* // Use any of the declared internal constants
* function foo() { Panic.GENERIC.panic(); }
*
* // Alternatively
* function foo() { Panic.panic(Panic.GENERIC); }
* }
* ```
*
* Follows the list from https://github.com/ethereum/solidity/blob/v0.8.24/libsolutil/ErrorCodes.h[libsolutil].
*
* _Available since v5.1._
*/
// slither-disable-next-line unused-state
library Panic {
/// @dev generic / unspecified error
uint256 internal constant GENERIC = 0x00;
/// @dev used by the assert() builtin
uint256 internal constant ASSERT = 0x01;
/// @dev arithmetic underflow or overflow
uint256 internal constant UNDER_OVERFLOW = 0x11;
/// @dev division or modulo by zero
uint256 internal constant DIVISION_BY_ZERO = 0x12;
/// @dev enum conversion error
uint256 internal constant ENUM_CONVERSION_ERROR = 0x21;
/// @dev invalid encoding in storage
uint256 internal constant STORAGE_ENCODING_ERROR = 0x22;
/// @dev empty array pop
uint256 internal constant EMPTY_ARRAY_POP = 0x31;
/// @dev array out of bounds access
uint256 internal constant ARRAY_OUT_OF_BOUNDS = 0x32;
/// @dev resource error (too large allocation or too large array)
uint256 internal constant RESOURCE_ERROR = 0x41;
/// @dev calling invalid internal function
uint256 internal constant INVALID_INTERNAL_FUNCTION = 0x51;
/// @dev Reverts with a panic code. Recommended to use with
/// the internal constants with predefined codes.
function panic(uint256 code) internal pure {
assembly ("memory-safe") {
mstore(0x00, 0x4e487b71)
mstore(0x20, code)
revert(0x1c, 0x24)
}
}
}