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ERC-20
Add Token to MetaMask (Web3)Overview
Max Total Supply
1,000,000 GENAI
Holders
42
Market
Onchain Market Cap
$0.00
Circulating Supply Market Cap
-
Other Info
Token Contract (WITH 18 Decimals)
Balance
19.38059089733664392 GENAIValue
$0.00Loading...
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| # | Exchange | Pair | Price | 24H Volume | % Volume |
|---|
Contract Source Code Verified (Exact Match)
Contract Name:
GENAI404
Compiler Version
v0.8.24+commit.e11b9ed9
Contract Source Code (Solidity)
/**
*Submitted for verification at Etherscan.io on 2024-03-06
*/
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.24;
/// @title DN404MS2(GENAI)
/// @notice DN404 is a hybrid ERC20 and ERC721 implementation that mints
/// and burns NFTs based on an account's ERC20 token balance.
///
/// Modified by arthurt for MiladyStation2 to have an erc20 unit bias
/// as well as make setSkipNFT defaulted and adding balanceMint function
///
/// @author vectorized.eth (@optimizoor)
/// @author Quit (@0xQuit)
/// @author Michael Amadi (@AmadiMichaels)
/// @author cygaar (@0xCygaar)
/// @author Thomas (@0xjustadev)
/// @author Harrison (@PopPunkOnChain)
///
/// @author arthurt (@MiladyStation)
///
/// @dev Note:
/// - The ERC721 data is stored in this base DN404 contract, however a
/// DN404Mirror contract ***MUST*** be deployed and linked during
/// initialization.
abstract contract DN404MS2 {
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* EVENTS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Emitted when `amount` tokens is transferred from `from` to `to`.
event Transfer(address indexed from, address indexed to, uint256 amount);
/// @dev Emitted when `amount` tokens is approved by `owner` to be used by `spender`.
event Approval(address indexed owner, address indexed spender, uint256 amount);
/// @dev Emitted when `target` sets their skipNFT flag to `status`.
event GetNFTSet(address indexed target, bool status);
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* CUSTOM ERRORS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Thrown when attempting to double-initialize the contract.
error DNAlreadyInitialized();
/// @dev Thrown when attempting to transfer or burn more tokens than sender's balance.
error InsufficientBalance();
/// @dev Thrown when a spender attempts to transfer tokens with an insufficient allowance.
error InsufficientAllowance();
/// @dev Thrown when minting an amount of tokens that would overflow the max tokens.
error TotalSupplyOverflow();
/// @dev Thrown when the caller for a fallback NFT function is not the mirror contract.
error SenderNotMirror();
/// @dev Thrown when attempting to transfer tokens to the zero address.
error TransferToZeroAddress();
/// @dev Thrown when the mirror address provided for initialization is the zero address.
error MirrorAddressIsZero();
/// @dev Thrown when the link call to the mirror contract reverts.
error LinkMirrorContractFailed();
/// @dev Thrown when setting an NFT token approval
/// and the caller is not the owner or an approved operator.
error ApprovalCallerNotOwnerNorApproved();
/// @dev Thrown when transferring an NFT
/// and the caller is not the owner or an approved operator.
error TransferCallerNotOwnerNorApproved();
/// @dev Thrown when transferring an NFT and the from address is not the current owner.
error TransferFromIncorrectOwner();
/// @dev Thrown when checking the owner or approved address for an non-existent NFT.
error TokenDoesNotExist();
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* CONSTANTS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Amount of token balance that is equal to one NFT.
uint256 internal immutable _WAD = 100 * 10 ** 18; //100 GENAI tokens per 1 GENPAL
/// @dev The maximum token ID allowed for an NFT.
uint256 internal constant _MAX_TOKEN_ID = 0xffffffff;
/// @dev The maximum possible token supply.
uint256 internal immutable _MAX_SUPPLY = _WAD * 0xffffffff - 1;
/// @dev The flag to denote that the address data is initialized.
uint8 internal constant _ADDRESS_DATA_INITIALIZED_FLAG = 1 << 0;
/// @dev The flag to denote that the address should get NFTs.
uint8 internal constant _ADDRESS_DATA_GET_NFT_FLAG = 1 << 1;
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* STORAGE */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Struct containing an address's token data and settings.
struct AddressData {
// Auxiliary data.
uint88 aux;
// Flags for `initialized` and `skipNFT`.
uint8 flags;
// The alias for the address. Zero means absence of an alias.
uint32 addressAlias;
// The number of NFT tokens.
uint32 ownedLength;
// The token balance in wei.
uint96 balance;
}
/// @dev A uint32 map in storage.
struct Uint32Map {
mapping(uint256 => uint256) map;
}
/// @dev Struct containing the base token contract storage.
struct DN404Storage {
// Current number of address aliases assigned.
uint32 numAliases;
// Next token ID to assign for an NFT mint.
uint32 nextTokenId;
// Total supply of minted NFTs.
uint32 totalNFTSupply;
// Total supply of tokens.
uint96 totalSupply;
// Address of the NFT mirror contract.
address mirrorERC721;
// Mapping of a user alias number to their address.
mapping(uint32 => address) aliasToAddress;
// Mapping of user operator approvals for NFTs.
mapping(address => mapping(address => bool)) operatorApprovals;
// Mapping of NFT token approvals to approved operators.
mapping(uint256 => address) tokenApprovals;
// Mapping of user allowances for token spenders.
mapping(address => mapping(address => uint256)) allowance;
// Mapping of NFT token IDs owned by an address.
mapping(address => Uint32Map) owned;
// Even indices: owner aliases. Odd indices: owned indices.
Uint32Map oo;
// Mapping of user account AddressData
mapping(address => AddressData) addressData;
}
/// @dev Returns a storage pointer for DN404Storage.
function _getDN404Storage() internal pure virtual returns (DN404Storage storage $) {
/// @solidity memory-safe-assembly
assembly {
// `uint72(bytes9(keccak256("DN404_STORAGE")))`.
$.slot := 0xa20d6e21d0e5255308 // Truncate to 9 bytes to reduce bytecode size.
}
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* INITIALIZER */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Initializes the DN404 contract with an
/// `initialTokenSupply`, `initialTokenOwner` and `mirror` NFT contract address.
function _initializeDN404(
uint256 initialTokenSupply,
address initialSupplyOwner,
address mirror
) internal virtual {
DN404Storage storage $ = _getDN404Storage();
if ($.nextTokenId != 0) revert DNAlreadyInitialized();
if (mirror == address(0)) revert MirrorAddressIsZero();
_linkMirrorContract(mirror);
$.nextTokenId = 1;
$.mirrorERC721 = mirror;
if (initialTokenSupply > 0) {
if (initialSupplyOwner == address(0)) revert TransferToZeroAddress();
if (initialTokenSupply > _MAX_SUPPLY) revert TotalSupplyOverflow();
$.totalSupply = uint96(initialTokenSupply);
AddressData storage initialOwnerAddressData = _addressData(initialSupplyOwner);
initialOwnerAddressData.balance = uint96(initialTokenSupply);
emit Transfer(address(0), initialSupplyOwner, initialTokenSupply);
}
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* METADATA FUNCTIONS TO OVERRIDE */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Returns the name of the token.
function name() public view virtual returns (string memory);
/// @dev Returns the symbol of the token.
function symbol() public view virtual returns (string memory);
/// @dev Returns the Uniform Resource Identifier (URI) for token `id`.
function tokenURI(uint256 id) public view virtual returns (string memory);
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* ERC20 OPERATIONS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Returns the decimals places of the token. Always 18.
function decimals() public pure returns (uint8) {
return 18;
}
/// @dev Returns the amount of tokens in existence.
function totalSupply() public view virtual returns (uint256) {
return uint256(_getDN404Storage().totalSupply);
}
/// @dev Returns the amount of tokens owned by `owner`.
function balanceOf(address owner) public view virtual returns (uint256) {
return _getDN404Storage().addressData[owner].balance;
}
/// @dev Returns the amount of tokens that `spender` can spend on behalf of `owner`.
function allowance(address owner, address spender) public view returns (uint256) {
return _getDN404Storage().allowance[owner][spender];
}
/// @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
///
/// Emits a {Approval} event.
function approve(address spender, uint256 amount) public virtual returns (bool) {
DN404Storage storage $ = _getDN404Storage();
$.allowance[msg.sender][spender] = amount;
emit Approval(msg.sender, spender, amount);
return true;
}
/// @dev Transfer `amount` tokens from the caller to `to`.
///
/// Will burn sender NFTs if balance after transfer is less than
/// the amount required to support the current NFT balance.
///
/// Will mint NFTs to `to` if the recipient's new balance supports
/// additional NFTs ***AND*** the `to` address's getNFT flag is
/// set to true.
///
/// Requirements:
/// - `from` must at least have `amount`.
///
/// Emits a {Transfer} event.
function transfer(address to, uint256 amount) public virtual returns (bool) {
_transfer(msg.sender, to, amount);
return true;
}
/// @dev Transfers `amount` tokens from `from` to `to`.
///
/// Note: Does not update the allowance if it is the maximum uint256 value.
///
/// Will burn sender NFTs if balance after transfer is less than
/// the amount required to support the current NFT balance.
///
/// Will mint NFTs to `to` if the recipient's new balance supports
/// additional NFTs ***AND*** the `to` address's getNFT flag is
/// set to true.
///
/// Requirements:
/// - `from` must at least have `amount`.
/// - The caller must have at least `amount` of allowance to transfer the tokens of `from`.
///
/// Emits a {Transfer} event.
function transferFrom(address from, address to, uint256 amount) public virtual returns (bool) {
DN404Storage storage $ = _getDN404Storage();
uint256 allowed = $.allowance[from][msg.sender];
if (allowed != type(uint256).max) {
if (amount > allowed) revert InsufficientAllowance();
unchecked {
$.allowance[from][msg.sender] = allowed - amount;
}
}
_transfer(from, to, amount);
return true;
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* INTERNAL MINT FUNCTIONS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Mints `amount` tokens to `to`, increasing the total supply.
///
/// Will mint NFTs to `to` if the recipient's new balance supports
/// additional NFTs ***AND*** the `to` address's getNFT flag is
/// set to true.
///
/// Emits a {Transfer} event.
function _mint(address to, uint256 amount) internal virtual {
if (to == address(0)) revert TransferToZeroAddress();
DN404Storage storage $ = _getDN404Storage();
AddressData storage toAddressData = _addressData(to);
unchecked {
uint256 currentTokenSupply = uint256($.totalSupply) + amount;
if (amount > _MAX_SUPPLY || currentTokenSupply > _MAX_SUPPLY) {
revert TotalSupplyOverflow();
}
$.totalSupply = uint96(currentTokenSupply);
uint256 toBalance = toAddressData.balance + amount;
toAddressData.balance = uint96(toBalance);
if (toAddressData.flags & _ADDRESS_DATA_GET_NFT_FLAG != 0) {
Uint32Map storage toOwned = $.owned[to];
uint256 toIndex = toAddressData.ownedLength;
uint256 toEnd = toBalance / _WAD;
_PackedLogs memory packedLogs = _packedLogsMalloc(_zeroFloorSub(toEnd, toIndex));
if (packedLogs.logs.length != 0) {
uint256 maxNFTId = $.totalSupply / _WAD;
uint32 toAlias = _registerAndResolveAlias(toAddressData, to);
uint256 id = $.nextTokenId;
$.totalNFTSupply += uint32(packedLogs.logs.length);
toAddressData.ownedLength = uint32(toEnd);
// Mint loop.
do {
while (_get($.oo, _ownershipIndex(id)) != 0) {
if (++id > maxNFTId) id = 1;
}
_set(toOwned, toIndex, uint32(id));
_setOwnerAliasAndOwnedIndex($.oo, id, toAlias, uint32(toIndex++));
_packedLogsAppend(packedLogs, to, id, 0);
if (++id > maxNFTId) id = 1;
} while (toIndex != toEnd);
$.nextTokenId = uint32(id);
_packedLogsSend(packedLogs, $.mirrorERC721);
}
}
}
emit Transfer(address(0), to, amount);
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* INTERNAL BURN FUNCTIONS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Burns `amount` tokens from `from`, reducing the total supply.
///
/// Will burn sender NFTs if balance after transfer is less than
/// the amount required to support the current NFT balance.
///
/// Emits a {Transfer} event.
function _burn(address from, uint256 amount) internal virtual {
DN404Storage storage $ = _getDN404Storage();
AddressData storage fromAddressData = _addressData(from);
uint256 fromBalance = fromAddressData.balance;
if (amount > fromBalance) revert InsufficientBalance();
uint256 currentTokenSupply = $.totalSupply;
unchecked {
fromBalance -= amount;
fromAddressData.balance = uint96(fromBalance);
currentTokenSupply -= amount;
$.totalSupply = uint96(currentTokenSupply);
Uint32Map storage fromOwned = $.owned[from];
uint256 fromIndex = fromAddressData.ownedLength;
uint256 nftAmountToBurn = _zeroFloorSub(fromIndex, fromBalance / _WAD);
if (nftAmountToBurn != 0) {
$.totalNFTSupply -= uint32(nftAmountToBurn);
_PackedLogs memory packedLogs = _packedLogsMalloc(nftAmountToBurn);
uint256 fromEnd = fromIndex - nftAmountToBurn;
// Burn loop.
do {
uint256 id = _get(fromOwned, --fromIndex);
_setOwnerAliasAndOwnedIndex($.oo, id, 0, 0);
delete $.tokenApprovals[id];
_packedLogsAppend(packedLogs, from, id, 1);
} while (fromIndex != fromEnd);
fromAddressData.ownedLength = uint32(fromIndex);
_packedLogsSend(packedLogs, $.mirrorERC721);
}
}
emit Transfer(from, address(0), amount);
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* INTERNAL TRANSFER FUNCTIONS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Moves `amount` of tokens from `from` to `to`.
///
/// Will burn sender NFTs if balance after transfer is less than
/// the amount required to support the current NFT balance.
///
/// Will mint NFTs to `to` if the recipient's new balance supports
/// additional NFTs ***AND*** the `to` address's getNFT flag is
/// set to true.
///
/// Emits a {Transfer} event.
function _transfer(address from, address to, uint256 amount) internal virtual {
if (to == address(0)) revert TransferToZeroAddress();
DN404Storage storage $ = _getDN404Storage();
AddressData storage fromAddressData = _addressData(from);
AddressData storage toAddressData = _addressData(to);
_TransferTemps memory t;
t.fromOwnedLength = fromAddressData.ownedLength;
t.toOwnedLength = toAddressData.ownedLength;
t.fromBalance = fromAddressData.balance;
if (amount > t.fromBalance) revert InsufficientBalance();
unchecked {
t.fromBalance -= amount;
fromAddressData.balance = uint96(t.fromBalance);
toAddressData.balance = uint96(t.toBalance = toAddressData.balance + amount);
t.nftAmountToBurn = _zeroFloorSub(t.fromOwnedLength, t.fromBalance / _WAD);
//GETNFT TRUE BEHAVIOR
if (toAddressData.flags & _ADDRESS_DATA_GET_NFT_FLAG != 0) {
if (from == to) t.toOwnedLength = t.fromOwnedLength - t.nftAmountToBurn;
t.nftAmountToMint = _zeroFloorSub(t.toBalance / _WAD, t.toOwnedLength);
}
_PackedLogs memory packedLogs = _packedLogsMalloc(t.nftAmountToBurn + t.nftAmountToMint);
if (t.nftAmountToBurn != 0) {
Uint32Map storage fromOwned = $.owned[from];
uint256 fromIndex = t.fromOwnedLength;
uint256 fromEnd = fromIndex - t.nftAmountToBurn;
$.totalNFTSupply -= uint32(t.nftAmountToBurn);
fromAddressData.ownedLength = uint32(fromEnd);
// Burn loop.
do {
uint256 id = _get(fromOwned, --fromIndex);
_setOwnerAliasAndOwnedIndex($.oo, id, 0, 0);
delete $.tokenApprovals[id];
_packedLogsAppend(packedLogs, from, id, 1);
} while (fromIndex != fromEnd);
}
if (t.nftAmountToMint != 0) {
Uint32Map storage toOwned = $.owned[to];
uint256 toIndex = t.toOwnedLength;
uint256 toEnd = toIndex + t.nftAmountToMint;
uint32 toAlias = _registerAndResolveAlias(toAddressData, to);
uint256 maxNFTId = $.totalSupply / _WAD;
uint256 id = $.nextTokenId;
$.totalNFTSupply += uint32(t.nftAmountToMint);
toAddressData.ownedLength = uint32(toEnd);
// Mint loop.
do {
while (_get($.oo, _ownershipIndex(id)) != 0) {
if (++id > maxNFTId) id = 1;
}
_set(toOwned, toIndex, uint32(id));
_setOwnerAliasAndOwnedIndex($.oo, id, toAlias, uint32(toIndex++));
_packedLogsAppend(packedLogs, to, id, 0);
if (++id > maxNFTId) id = 1;
} while (toIndex != toEnd);
$.nextTokenId = uint32(id);
}
if (packedLogs.logs.length != 0) {
_packedLogsSend(packedLogs, $.mirrorERC721);
}
}
emit Transfer(from, to, amount);
}
/// @dev Transfers token `id` from `from` to `to`.
///
/// Requirements:
///
/// - Call must originate from the mirror contract.
/// - Token `id` must exist.
/// - `from` must be the owner of the token.
/// - `to` cannot be the zero address.
/// `msgSender` must be the owner of the token, or be approved to manage the token.
///
/// Emits a {Transfer} event.
function _transferFromNFT(address from, address to, uint256 id, address msgSender)
internal
virtual
{
DN404Storage storage $ = _getDN404Storage();
if (to == address(0)) revert TransferToZeroAddress();
address owner = $.aliasToAddress[_get($.oo, _ownershipIndex(id))];
if (from != owner) revert TransferFromIncorrectOwner();
if (msgSender != from) {
if (!$.operatorApprovals[from][msgSender]) {
if (msgSender != $.tokenApprovals[id]) {
revert TransferCallerNotOwnerNorApproved();
}
}
}
AddressData storage fromAddressData = _addressData(from);
AddressData storage toAddressData = _addressData(to);
fromAddressData.balance -= uint96(_WAD);
unchecked {
toAddressData.balance += uint96(_WAD);
_set($.oo, _ownershipIndex(id), _registerAndResolveAlias(toAddressData, to));
delete $.tokenApprovals[id];
uint256 updatedId = _get($.owned[from], --fromAddressData.ownedLength);
_set($.owned[from], _get($.oo, _ownedIndex(id)), uint32(updatedId));
uint256 n = toAddressData.ownedLength++;
_set($.oo, _ownedIndex(updatedId), _get($.oo, _ownedIndex(id)));
_set($.owned[to], n, uint32(id));
_set($.oo, _ownedIndex(id), uint32(n));
}
emit Transfer(from, to, _WAD);
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* DATA HITCHHIKING FUNCTIONS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Returns the auxiliary data for `owner`.
/// Minting, transferring, burning the tokens of `owner` will not change the auxiliary data.
/// Auxiliary data can be set for any address, even if it does not have any tokens.
function _getAux(address owner) internal view virtual returns (uint88) {
return _getDN404Storage().addressData[owner].aux;
}
/// @dev Set the auxiliary data for `owner` to `value`.
/// Minting, transferring, burning the tokens of `owner` will not change the auxiliary data.
/// Auxiliary data can be set for any address, even if it does not have any tokens.
function _setAux(address owner, uint88 value) internal virtual {
_getDN404Storage().addressData[owner].aux = value;
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* GET NFT FUNCTIONS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Allows token holders to choose to mint their NFTs on their own time
/// without having to mint all of the NFTs for their balance.
/// !!! Wallets who elect to setGetNFT to true will automatically mint their entire balance
/// whenever they transfer and their holding is greater than WAD
/// This function allows them to remain getNFT false and choose to mint their nfts
function balanceMint(uint256 amount) public {
DN404Storage storage $ = _getDN404Storage();
AddressData storage toAddressData = _addressData(msg.sender);
uint256 toOwnedLength = toAddressData.ownedLength;
_PackedLogs memory packedLogs = _packedLogsMalloc(amount);
if (amount > (toAddressData.balance / _WAD) - toOwnedLength) { revert InsufficientBalance();}
else {
Uint32Map storage toOwned = $.owned[msg.sender];
uint256 toIndex = toOwnedLength;
uint256 toEnd = toIndex + amount;
uint32 toAlias = _registerAndResolveAlias(toAddressData, msg.sender);
uint256 maxNFTId = $.totalSupply / _WAD;
uint256 id = $.nextTokenId;
$.totalNFTSupply += uint32(amount);
toAddressData.ownedLength = uint32(toEnd);
// Mint loop.
do {
while (_get($.oo, _ownershipIndex(id)) != 0) {
if (++id > maxNFTId) id = 1;
}
_set(toOwned, toIndex, uint32(id));
_setOwnerAliasAndOwnedIndex($.oo, id, toAlias, uint32(toIndex++));
_packedLogsAppend(packedLogs, msg.sender, id, 0);
if (++id > maxNFTId) id = 1;
} while (toIndex != toEnd);
$.nextTokenId = uint32(id);
}
if (packedLogs.logs.length != 0) {
_packedLogsSend(packedLogs, $.mirrorERC721);
}
}
/// @dev Returns true if account `a` will get NFT minting on token mints and transfers.
/// Returns false if account `a` will not mint NFTs on token mints and transfers.
/// Inverted from skipNFT by arthurt
function getGetNFT(address a) public view virtual returns (bool) {
AddressData storage d = _getDN404Storage().addressData[a];
if (d.flags & _ADDRESS_DATA_INITIALIZED_FLAG == 0) return _hasCode(a);
return d.flags & _ADDRESS_DATA_GET_NFT_FLAG != 0;
}
/// @dev Sets the caller's getNFT flag to `getNFT`
///
/// Emits a {GetNFTSet} event.
/// A holder in possession of tokens > than a WAD without NFTS
function setGetNFT(bool getNFT) public virtual {
_setGetNFT(msg.sender, getNFT);
}
/// @dev Internal function to set account `a` getNFT flag to `state`
///
/// Initializes account `a` AddressData if it is not currently initialized.
///
/// Emits a {GetNFTSet} event.
function _setGetNFT(address a, bool state) internal virtual {
AddressData storage d = _addressData(a);
if ((d.flags & _ADDRESS_DATA_GET_NFT_FLAG != 0) != state) {
d.flags ^= _ADDRESS_DATA_GET_NFT_FLAG;
}
emit GetNFTSet(a, state);
}
/// @dev Returns a storage data pointer for account `a` AddressData
///
/// Initializes account `a` AddressData if it is not currently initialized.
function _addressData(address a) internal virtual returns (AddressData storage d) {
DN404Storage storage $ = _getDN404Storage();
d = $.addressData[a];
if (d.flags & _ADDRESS_DATA_INITIALIZED_FLAG == 0) {
uint8 flags = _ADDRESS_DATA_INITIALIZED_FLAG;
d.flags = flags;
}
}
/// @dev Returns the `addressAlias` of account `to`.
///
/// Assigns and registers the next alias if `to` alias was not previously registered.
function _registerAndResolveAlias(AddressData storage toAddressData, address to)
internal
virtual
returns (uint32 addressAlias)
{
DN404Storage storage $ = _getDN404Storage();
addressAlias = toAddressData.addressAlias;
if (addressAlias == 0) {
addressAlias = ++$.numAliases;
toAddressData.addressAlias = addressAlias;
$.aliasToAddress[addressAlias] = to;
}
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* MIRROR OPERATIONS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Returns the address of the mirror NFT contract.
function mirrorERC721() public view virtual returns (address) {
return _getDN404Storage().mirrorERC721;
}
/// @dev Returns the total NFT supply.
function _totalNFTSupply() internal view virtual returns (uint256) {
return _getDN404Storage().totalNFTSupply;
}
/// @dev Returns `owner` NFT balance.
function _balanceOfNFT(address owner) internal view virtual returns (uint256) {
return _getDN404Storage().addressData[owner].ownedLength;
}
/// @dev Returns the owner of token `id`.
/// Returns the zero address instead of reverting if the token does not exist.
function _ownerAt(uint256 id) internal view virtual returns (address) {
DN404Storage storage $ = _getDN404Storage();
return $.aliasToAddress[_get($.oo, _ownershipIndex(id))];
}
/// @dev Returns the owner of token `id`.
///
/// Requirements:
/// - Token `id` must exist.
function _ownerOf(uint256 id) internal view virtual returns (address) {
if (!_exists(id)) revert TokenDoesNotExist();
return _ownerAt(id);
}
/// @dev Returns if token `id` exists.
function _exists(uint256 id) internal view virtual returns (bool) {
return _ownerAt(id) != address(0);
}
/// @dev Returns the account approved to manage token `id`.
///
/// Requirements:
/// - Token `id` must exist.
function _getApproved(uint256 id) internal view virtual returns (address) {
if (!_exists(id)) revert TokenDoesNotExist();
return _getDN404Storage().tokenApprovals[id];
}
/// @dev Sets `spender` as the approved account to manage token `id`, using `msgSender`.
///
/// Requirements:
/// - `msgSender` must be the owner or an approved operator for the token owner.
function _approveNFT(address spender, uint256 id, address msgSender)
internal
virtual
returns (address)
{
DN404Storage storage $ = _getDN404Storage();
address owner = $.aliasToAddress[_get($.oo, _ownershipIndex(id))];
if (msgSender != owner) {
if (!$.operatorApprovals[owner][msgSender]) {
revert ApprovalCallerNotOwnerNorApproved();
}
}
$.tokenApprovals[id] = spender;
return owner;
}
/// @dev Approve or remove the `operator` as an operator for `msgSender`,
/// without authorization checks.
function _setApprovalForAll(address operator, bool approved, address msgSender)
internal
virtual
{
_getDN404Storage().operatorApprovals[msgSender][operator] = approved;
}
/// @dev Calls the mirror contract to link it to this contract.
///
/// Reverts if the call to the mirror contract reverts.
function _linkMirrorContract(address mirror) internal virtual {
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, 0x0f4599e5) // `linkMirrorContract(address)`.
mstore(0x20, caller())
if iszero(and(eq(mload(0x00), 1), call(gas(), mirror, 0, 0x1c, 0x24, 0x00, 0x20))) {
mstore(0x00, 0xd125259c) // `LinkMirrorContractFailed()`.
revert(0x1c, 0x04)
}
}
}
/// @dev Fallback modifier to dispatch calls from the mirror NFT contract
/// to internal functions in this contract.
modifier dn404Fallback() virtual {
DN404Storage storage $ = _getDN404Storage();
uint256 fnSelector = _calldataload(0x00) >> 224;
// `isApprovedForAll(address,address)`.
if (fnSelector == 0xe985e9c5) {
if (msg.sender != $.mirrorERC721) revert SenderNotMirror();
if (msg.data.length < 0x44) revert();
address owner = address(uint160(_calldataload(0x04)));
address operator = address(uint160(_calldataload(0x24)));
_return($.operatorApprovals[owner][operator] ? 1 : 0);
}
// `ownerOf(uint256)`.
if (fnSelector == 0x6352211e) {
if (msg.sender != $.mirrorERC721) revert SenderNotMirror();
if (msg.data.length < 0x24) revert();
uint256 id = _calldataload(0x04);
_return(uint160(_ownerOf(id)));
}
// `transferFromNFT(address,address,uint256,address)`.
if (fnSelector == 0xe5eb36c8) {
if (msg.sender != $.mirrorERC721) revert SenderNotMirror();
if (msg.data.length < 0x84) revert();
address from = address(uint160(_calldataload(0x04)));
address to = address(uint160(_calldataload(0x24)));
uint256 id = _calldataload(0x44);
address msgSender = address(uint160(_calldataload(0x64)));
_transferFromNFT(from, to, id, msgSender);
_return(1);
}
// `setApprovalForAll(address,bool,address)`.
if (fnSelector == 0x813500fc) {
if (msg.sender != $.mirrorERC721) revert SenderNotMirror();
if (msg.data.length < 0x64) revert();
address spender = address(uint160(_calldataload(0x04)));
bool status = _calldataload(0x24) != 0;
address msgSender = address(uint160(_calldataload(0x44)));
_setApprovalForAll(spender, status, msgSender);
_return(1);
}
// `approveNFT(address,uint256,address)`.
if (fnSelector == 0xd10b6e0c) {
if (msg.sender != $.mirrorERC721) revert SenderNotMirror();
if (msg.data.length < 0x64) revert();
address spender = address(uint160(_calldataload(0x04)));
uint256 id = _calldataload(0x24);
address msgSender = address(uint160(_calldataload(0x44)));
_return(uint160(_approveNFT(spender, id, msgSender)));
}
// `getApproved(uint256)`.
if (fnSelector == 0x081812fc) {
if (msg.sender != $.mirrorERC721) revert SenderNotMirror();
if (msg.data.length < 0x24) revert();
uint256 id = _calldataload(0x04);
_return(uint160(_getApproved(id)));
}
// `balanceOfNFT(address)`.
if (fnSelector == 0xf5b100ea) {
if (msg.sender != $.mirrorERC721) revert SenderNotMirror();
if (msg.data.length < 0x24) revert();
address owner = address(uint160(_calldataload(0x04)));
_return(_balanceOfNFT(owner));
}
// `totalNFTSupply()`.
if (fnSelector == 0xe2c79281) {
if (msg.sender != $.mirrorERC721) revert SenderNotMirror();
if (msg.data.length < 0x04) revert();
_return(_totalNFTSupply());
}
// `implementsDN404()`.
if (fnSelector == 0xb7a94eb8) {
_return(1);
}
_;
}
/// @dev Fallback function for calls from mirror NFT contract.
fallback() external payable virtual dn404Fallback {}
receive() external payable virtual {}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* PRIVATE HELPERS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Struct containing packed log data for `Transfer` events to be
/// emitted by the mirror NFT contract.
struct _PackedLogs {
uint256[] logs;
uint256 offset;
}
/// @dev Initiates memory allocation for packed logs with `n` log items.
function _packedLogsMalloc(uint256 n) internal pure returns (_PackedLogs memory p) {
/// @solidity memory-safe-assembly
assembly {
let logs := add(mload(0x40), 0x40) // Offset by 2 words for `_packedLogsSend`.
mstore(logs, n)
let offset := add(0x20, logs)
mstore(0x40, add(offset, shl(5, n)))
mstore(p, logs)
mstore(add(0x20, p), offset)
}
}
/// @dev Adds a packed log item to `p` with address `a`, token `id` and burn flag `burnBit`.
function _packedLogsAppend(_PackedLogs memory p, address a, uint256 id, uint256 burnBit)
internal
pure
{
/// @solidity memory-safe-assembly
assembly {
let offset := mload(add(0x20, p))
mstore(offset, or(or(shl(96, a), shl(8, id)), burnBit))
mstore(add(0x20, p), add(offset, 0x20))
}
}
/// @dev Calls the `mirror` NFT contract to emit Transfer events for packed logs `p`.
function _packedLogsSend(_PackedLogs memory p, address mirror) internal {
/// @solidity memory-safe-assembly
assembly {
let logs := mload(p)
let o := sub(logs, 0x40) // Start of calldata to send.
mstore(o, 0x263c69d6) // `logTransfer(uint256[])`.
mstore(add(o, 0x20), 0x20) // Offset of `logs` in the calldata to send.
let n := add(0x44, shl(5, mload(logs))) // Length of calldata to send.
if iszero(and(eq(mload(o), 1), call(gas(), mirror, 0, add(o, 0x1c), n, o, 0x20))) {
revert(o, 0x00)
}
}
}
/// @dev Struct of temporary variables for transfers.
struct _TransferTemps {
uint256 nftAmountToBurn;
uint256 nftAmountToMint;
uint256 fromBalance;
uint256 toBalance;
uint256 fromOwnedLength;
uint256 toOwnedLength;
}
/// @dev Returns if `a` has bytecode of non-zero length.
function _hasCode(address a) private view returns (bool result) {
/// @solidity memory-safe-assembly
assembly {
result := extcodesize(a) // Can handle dirty upper bits.
}
}
/// @dev Returns the calldata value at `offset`.
function _calldataload(uint256 offset) private pure returns (uint256 value) {
/// @solidity memory-safe-assembly
assembly {
value := calldataload(offset)
}
}
/// @dev Executes a return opcode to return `x` and end the current call frame.
function _return(uint256 x) private pure {
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, x)
return(0x00, 0x20)
}
}
/// @dev Returns `max(0, x - y)`.
function _zeroFloorSub(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := mul(gt(x, y), sub(x, y))
}
}
/// @dev Returns `i << 1`.
function _ownershipIndex(uint256 i) internal pure returns (uint256) {
return i << 1;
}
/// @dev Returns `(i << 1) + 1`.
function _ownedIndex(uint256 i) private pure returns (uint256) {
unchecked {
return (i << 1) + 1;
}
}
/// @dev Returns the uint32 value at `index` in `map`.
function _get(Uint32Map storage map, uint256 index) internal view returns (uint32 result) {
result = uint32(map.map[index >> 3] >> ((index & 7) << 5));
}
/// @dev Updates the uint32 value at `index` in `map`.
function _set(Uint32Map storage map, uint256 index, uint32 value) internal {
/// @solidity memory-safe-assembly
assembly {
mstore(0x20, map.slot)
mstore(0x00, shr(3, index))
let s := keccak256(0x00, 0x40) // Storage slot.
let o := shl(5, and(index, 7)) // Storage slot offset (bits).
let v := sload(s) // Storage slot value.
let m := 0xffffffff // Value mask.
sstore(s, xor(v, shl(o, and(m, xor(shr(o, v), value)))))
}
}
/// @dev Sets the owner alias and the owned index together.
function _setOwnerAliasAndOwnedIndex(
Uint32Map storage map,
uint256 id,
uint32 ownership,
uint32 ownedIndex
) internal {
/// @solidity memory-safe-assembly
assembly {
let value := or(shl(32, ownedIndex), and(0xffffffff, ownership))
mstore(0x20, map.slot)
mstore(0x00, shr(2, id))
let s := keccak256(0x00, 0x40) // Storage slot.
let o := shl(6, and(id, 3)) // Storage slot offset (bits).
let v := sload(s) // Storage slot value.
let m := 0xffffffffffffffff // Value mask.
sstore(s, xor(v, shl(o, and(m, xor(shr(o, v), value)))))
}
}
}
/// @title DN404Mirror
/// @notice DN404Mirror provides an interface for interacting with the
/// NFT tokens in a DN404 implementation.
///
/// @author vectorized.eth (@optimizoor)
/// @author Quit (@0xQuit)
/// @author Michael Amadi (@AmadiMichaels)
/// @author cygaar (@0xCygaar)
/// @author Thomas (@0xjustadev)
/// @author Harrison (@PopPunkOnChain)
///
/// @dev Note:
/// - The ERC721 data is stored in the base DN404 contract.
contract DN404Mirror {
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* EVENTS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Emitted when token `id` is transferred from `from` to `to`.
event Transfer(address indexed from, address indexed to, uint256 indexed id);
/// @dev Emitted when `owner` enables `account` to manage the `id` token.
event Approval(address indexed owner, address indexed account, uint256 indexed id);
/// @dev Emitted when `owner` enables or disables `operator` to manage all of their tokens.
event ApprovalForAll(address indexed owner, address indexed operator, bool isApproved);
/// @dev `keccak256(bytes("Transfer(address,address,uint256)"))`.
uint256 private constant _TRANSFER_EVENT_SIGNATURE =
0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef;
/// @dev `keccak256(bytes("Approval(address,address,uint256)"))`.
uint256 private constant _APPROVAL_EVENT_SIGNATURE =
0x8c5be1e5ebec7d5bd14f71427d1e84f3dd0314c0f7b2291e5b200ac8c7c3b925;
/// @dev `keccak256(bytes("ApprovalForAll(address,address,bool)"))`.
uint256 private constant _APPROVAL_FOR_ALL_EVENT_SIGNATURE =
0x17307eab39ab6107e8899845ad3d59bd9653f200f220920489ca2b5937696c31;
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* CUSTOM ERRORS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Thrown when a call for an NFT function did not originate
/// from the base DN404 contract.
error SenderNotBase();
/// @dev Thrown when a call for an NFT function did not originate from the deployer.
error SenderNotDeployer();
/// @dev Thrown when transferring an NFT to a contract address that
/// does not implement ERC721Receiver.
error TransferToNonERC721ReceiverImplementer();
/// @dev Thrown when linking to the DN404 base contract and the
/// DN404 supportsInterface check fails or the call reverts.
error CannotLink();
/// @dev Thrown when a linkMirrorContract call is received and the
/// NFT mirror contract has already been linked to a DN404 base contract.
error AlreadyLinked();
/// @dev Thrown when retrieving the base DN404 address when a link has not
/// been established.
error NotLinked();
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* STORAGE */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Struct contain the NFT mirror contract storage.
struct DN404NFTStorage {
address baseERC20;
address deployer;
}
/// @dev Returns a storage pointer for DN404NFTStorage.
function _getDN404NFTStorage() internal pure virtual returns (DN404NFTStorage storage $) {
/// @solidity memory-safe-assembly
assembly {
// `uint72(bytes9(keccak256("DN404_MIRROR_STORAGE")))`.
$.slot := 0x3602298b8c10b01230 // Truncate to 9 bytes to reduce bytecode size.
}
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* CONSTRUCTOR */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
constructor(address deployer) {
// For non-proxies, we will store the deployer so that only the deployer can
// link the base contract.
_getDN404NFTStorage().deployer = deployer;
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* ERC721 OPERATIONS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Returns the token collection name from the base DN404 contract.
function name() public view virtual returns (string memory result) {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
result := mload(0x40)
mstore(0x00, 0x06fdde03) // `name()`.
if iszero(staticcall(gas(), base, 0x1c, 0x04, 0x00, 0x00)) {
returndatacopy(result, 0x00, returndatasize())
revert(result, returndatasize())
}
returndatacopy(0x00, 0x00, 0x20)
returndatacopy(result, mload(0x00), 0x20)
returndatacopy(add(result, 0x20), add(mload(0x00), 0x20), mload(result))
mstore(0x40, add(add(result, 0x20), mload(result)))
}
}
/// @dev Returns the token collection symbol from the base DN404 contract.
function symbol() public view virtual returns (string memory result) {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
result := mload(0x40)
mstore(0x00, 0x95d89b41) // `symbol()`.
if iszero(staticcall(gas(), base, 0x1c, 0x04, 0x00, 0x00)) {
returndatacopy(result, 0x00, returndatasize())
revert(result, returndatasize())
}
returndatacopy(0x00, 0x00, 0x20)
returndatacopy(result, mload(0x00), 0x20)
returndatacopy(add(result, 0x20), add(mload(0x00), 0x20), mload(result))
mstore(0x40, add(add(result, 0x20), mload(result)))
}
}
/// @dev Returns the Uniform Resource Identifier (URI) for token `id` from
/// the base DN404 contract.
function tokenURI(uint256 id) public view virtual returns (string memory result) {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
result := mload(0x40)
mstore(0x20, id)
mstore(0x00, 0xc87b56dd) // `tokenURI()`.
if iszero(staticcall(gas(), base, 0x1c, 0x24, 0x00, 0x00)) {
returndatacopy(result, 0x00, returndatasize())
revert(result, returndatasize())
}
returndatacopy(0x00, 0x00, 0x20)
returndatacopy(result, mload(0x00), 0x20)
returndatacopy(add(result, 0x20), add(mload(0x00), 0x20), mload(result))
mstore(0x40, add(add(result, 0x20), mload(result)))
}
}
/// @dev Returns the total NFT supply from the base DN404 contract.
function totalSupply() public view virtual returns (uint256 result) {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, 0xe2c79281) // `totalNFTSupply()`.
if iszero(
and(gt(returndatasize(), 0x1f), staticcall(gas(), base, 0x1c, 0x04, 0x00, 0x20))
) {
returndatacopy(mload(0x40), 0x00, returndatasize())
revert(mload(0x40), returndatasize())
}
result := mload(0x00)
}
}
/// @dev Returns the number of NFT tokens owned by `owner` from the base DN404 contract.
///
/// Requirements:
/// - `owner` must not be the zero address.
function balanceOf(address owner) public view virtual returns (uint256 result) {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
mstore(0x20, shr(96, shl(96, owner)))
mstore(0x00, 0xf5b100ea) // `balanceOfNFT(address)`.
if iszero(
and(gt(returndatasize(), 0x1f), staticcall(gas(), base, 0x1c, 0x24, 0x00, 0x20))
) {
returndatacopy(mload(0x40), 0x00, returndatasize())
revert(mload(0x40), returndatasize())
}
result := mload(0x00)
}
}
/// @dev Returns the owner of token `id` from the base DN404 contract.
///
/// Requirements:
/// - Token `id` must exist.
function ownerOf(uint256 id) public view virtual returns (address result) {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, 0x6352211e) // `ownerOf(uint256)`.
mstore(0x20, id)
if iszero(
and(gt(returndatasize(), 0x1f), staticcall(gas(), base, 0x1c, 0x24, 0x00, 0x20))
) {
returndatacopy(mload(0x40), 0x00, returndatasize())
revert(mload(0x40), returndatasize())
}
result := shr(96, mload(0x0c))
}
}
/// @dev Sets `spender` as the approved account to manage token `id` in
/// the base DN404 contract.
///
/// Requirements:
/// - Token `id` must exist.
/// - The caller must be the owner of the token,
/// or an approved operator for the token owner.
///
/// Emits an {Approval} event.
function approve(address spender, uint256 id) public virtual {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
spender := shr(96, shl(96, spender))
let m := mload(0x40)
mstore(0x00, 0xd10b6e0c) // `approveNFT(address,uint256,address)`.
mstore(0x20, spender)
mstore(0x40, id)
mstore(0x60, caller())
if iszero(
and(
gt(returndatasize(), 0x1f),
call(gas(), base, callvalue(), 0x1c, 0x64, 0x00, 0x20)
)
) {
returndatacopy(m, 0x00, returndatasize())
revert(m, returndatasize())
}
mstore(0x40, m) // Restore the free memory pointer.
mstore(0x60, 0) // Restore the zero pointer.
// Emit the {Approval} event.
log4(codesize(), 0x00, _APPROVAL_EVENT_SIGNATURE, shr(96, mload(0x0c)), spender, id)
}
}
/// @dev Returns the account approved to manage token `id` from
/// the base DN404 contract.
///
/// Requirements:
/// - Token `id` must exist.
function getApproved(uint256 id) public view virtual returns (address result) {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, 0x081812fc) // `getApproved(uint256)`.
mstore(0x20, id)
if iszero(
and(gt(returndatasize(), 0x1f), staticcall(gas(), base, 0x1c, 0x24, 0x00, 0x20))
) {
returndatacopy(mload(0x40), 0x00, returndatasize())
revert(mload(0x40), returndatasize())
}
result := shr(96, mload(0x0c))
}
}
/// @dev Sets whether `operator` is approved to manage the tokens of the caller in
/// the base DN404 contract.
///
/// Emits an {ApprovalForAll} event.
function setApprovalForAll(address operator, bool approved) public virtual {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
operator := shr(96, shl(96, operator))
let m := mload(0x40)
mstore(0x00, 0x813500fc) // `setApprovalForAll(address,bool,address)`.
mstore(0x20, operator)
mstore(0x40, iszero(iszero(approved)))
mstore(0x60, caller())
if iszero(
and(eq(mload(0x00), 1), call(gas(), base, callvalue(), 0x1c, 0x64, 0x00, 0x20))
) {
returndatacopy(m, 0x00, returndatasize())
revert(m, returndatasize())
}
// Emit the {ApprovalForAll} event.
log3(0x40, 0x20, _APPROVAL_FOR_ALL_EVENT_SIGNATURE, caller(), operator)
mstore(0x40, m) // Restore the free memory pointer.
mstore(0x60, 0) // Restore the zero pointer.
}
}
/// @dev Returns whether `operator` is approved to manage the tokens of `owner` from
/// the base DN404 contract.
function isApprovedForAll(address owner, address operator)
public
view
virtual
returns (bool result)
{
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
let m := mload(0x40)
mstore(0x40, operator)
mstore(0x2c, shl(96, owner))
mstore(0x0c, 0xe985e9c5000000000000000000000000) // `isApprovedForAll(address,address)`.
if iszero(
and(gt(returndatasize(), 0x1f), staticcall(gas(), base, 0x1c, 0x44, 0x00, 0x20))
) {
returndatacopy(m, 0x00, returndatasize())
revert(m, returndatasize())
}
mstore(0x40, m) // Restore the free memory pointer.
result := iszero(iszero(mload(0x00)))
}
}
/// @dev Transfers token `id` from `from` to `to`.
///
/// Requirements:
///
/// - Token `id` must exist.
/// - `from` must be the owner of the token.
/// - `to` cannot be the zero address.
/// - The caller must be the owner of the token, or be approved to manage the token.
///
/// Emits a {Transfer} event.
function transferFrom(address from, address to, uint256 id) public virtual {
address base = baseERC20();
/// @solidity memory-safe-assembly
assembly {
from := shr(96, shl(96, from))
to := shr(96, shl(96, to))
let m := mload(0x40)
mstore(m, 0xe5eb36c8) // `transferFromNFT(address,address,uint256,address)`.
mstore(add(m, 0x20), from)
mstore(add(m, 0x40), to)
mstore(add(m, 0x60), id)
mstore(add(m, 0x80), caller())
if iszero(
and(eq(mload(m), 1), call(gas(), base, callvalue(), add(m, 0x1c), 0x84, m, 0x20))
) {
returndatacopy(m, 0x00, returndatasize())
revert(m, returndatasize())
}
// Emit the {Transfer} event.
log4(codesize(), 0x00, _TRANSFER_EVENT_SIGNATURE, from, to, id)
}
}
/// @dev Equivalent to `safeTransferFrom(from, to, id, "")`.
function safeTransferFrom(address from, address to, uint256 id) public payable virtual {
transferFrom(from, to, id);
if (_hasCode(to)) _checkOnERC721Received(from, to, id, "");
}
/// @dev Transfers token `id` from `from` to `to`.
///
/// Requirements:
///
/// - Token `id` must exist.
/// - `from` must be the owner of the token.
/// - `to` cannot be the zero address.
/// - The caller must be the owner of the token, or be approved to manage the token.
/// - 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 id, bytes calldata data)
public
virtual
{
transferFrom(from, to, id);
if (_hasCode(to)) _checkOnERC721Received(from, to, id, data);
}
/// @dev Returns true if this contract implements the interface defined by `interfaceId`.
/// See: https://eips.ethereum.org/EIPS/eip-165
/// This function call must use less than 30000 gas.
function supportsInterface(bytes4 interfaceId) public view virtual returns (bool result) {
/// @solidity memory-safe-assembly
assembly {
let s := shr(224, interfaceId)
// ERC165: 0x01ffc9a7, ERC721: 0x80ac58cd, ERC721Metadata: 0x5b5e139f.
result := or(or(eq(s, 0x01ffc9a7), eq(s, 0x80ac58cd)), eq(s, 0x5b5e139f))
}
}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* MIRROR OPERATIONS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Returns the address of the base DN404 contract.
function baseERC20() public view virtual returns (address base) {
base = _getDN404NFTStorage().baseERC20;
if (base == address(0)) revert NotLinked();
}
/// @dev Fallback modifier to execute calls from the base DN404 contract.
modifier dn404NFTFallback() virtual {
DN404NFTStorage storage $ = _getDN404NFTStorage();
uint256 fnSelector = _calldataload(0x00) >> 224;
// `logTransfer(uint256[])`.
if (fnSelector == 0x263c69d6) {
if (msg.sender != $.baseERC20) revert SenderNotBase();
/// @solidity memory-safe-assembly
assembly {
// When returndatacopy copies 1 or more out-of-bounds bytes, it reverts.
returndatacopy(0x00, returndatasize(), lt(calldatasize(), 0x20))
let o := add(0x24, calldataload(0x04)) // Packed logs offset.
returndatacopy(0x00, returndatasize(), lt(calldatasize(), o))
let end := add(o, shl(5, calldataload(sub(o, 0x20))))
returndatacopy(0x00, returndatasize(), lt(calldatasize(), end))
for {} iszero(eq(o, end)) { o := add(0x20, o) } {
let d := calldataload(o) // Entry in the packed logs.
let a := shr(96, d) // The address.
let b := and(1, d) // Whether it is a burn.
log4(
codesize(),
0x00,
_TRANSFER_EVENT_SIGNATURE,
mul(a, b),
mul(a, iszero(b)),
shr(168, shl(160, d))
)
}
mstore(0x00, 0x01)
return(0x00, 0x20)
}
}
// `linkMirrorContract(address)`.
if (fnSelector == 0x0f4599e5) {
if ($.deployer != address(0)) {
if (address(uint160(_calldataload(0x04))) != $.deployer) {
revert SenderNotDeployer();
}
}
if ($.baseERC20 != address(0)) revert AlreadyLinked();
$.baseERC20 = msg.sender;
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, 0x01)
return(0x00, 0x20)
}
}
_;
}
/// @dev Fallback function for calls from base DN404 contract.
fallback() external payable virtual dn404NFTFallback {}
receive() external payable virtual {}
/*«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-«-*/
/* PRIVATE HELPERS */
/*-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»-»*/
/// @dev Returns the calldata value at `offset`.
function _calldataload(uint256 offset) private pure returns (uint256 value) {
/// @solidity memory-safe-assembly
assembly {
value := calldataload(offset)
}
}
/// @dev Returns if `a` has bytecode of non-zero length.
function _hasCode(address a) private view returns (bool result) {
/// @solidity memory-safe-assembly
assembly {
result := extcodesize(a) // Can handle dirty upper bits.
}
}
/// @dev Perform a call to invoke {IERC721Receiver-onERC721Received} on `to`.
/// Reverts if the target does not support the function correctly.
function _checkOnERC721Received(address from, address to, uint256 id, bytes memory data)
private
{
/// @solidity memory-safe-assembly
assembly {
// Prepare the calldata.
let m := mload(0x40)
let onERC721ReceivedSelector := 0x150b7a02
mstore(m, onERC721ReceivedSelector)
mstore(add(m, 0x20), caller()) // The `operator`, which is always `msg.sender`.
mstore(add(m, 0x40), shr(96, shl(96, from)))
mstore(add(m, 0x60), id)
mstore(add(m, 0x80), 0x80)
let n := mload(data)
mstore(add(m, 0xa0), n)
if n { pop(staticcall(gas(), 4, add(data, 0x20), n, add(m, 0xc0), n)) }
// Revert if the call reverts.
if iszero(call(gas(), to, 0, add(m, 0x1c), add(n, 0xa4), m, 0x20)) {
if returndatasize() {
// Bubble up the revert if the call reverts.
returndatacopy(m, 0x00, returndatasize())
revert(m, returndatasize())
}
}
// Load the returndata and compare it.
if iszero(eq(mload(m), shl(224, onERC721ReceivedSelector))) {
mstore(0x00, 0xd1a57ed6) // `TransferToNonERC721ReceiverImplementer()`.
revert(0x1c, 0x04)
}
}
}
}
/// @notice Simple single owner authorization mixin.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/auth/Ownable.sol)
///
/// @dev Note:
/// This implementation does NOT auto-initialize the owner to `msg.sender`.
/// You MUST call the `_initializeOwner` in the constructor / initializer.
///
/// While the ownable portion follows
/// [EIP-173](https://eips.ethereum.org/EIPS/eip-173) for compatibility,
/// the nomenclature for the 2-step ownership handover may be unique to this codebase.
abstract contract Ownable {
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* CUSTOM ERRORS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev The caller is not authorized to call the function.
error Unauthorized();
/// @dev The `newOwner` cannot be the zero address.
error NewOwnerIsZeroAddress();
/// @dev The `pendingOwner` does not have a valid handover request.
error NoHandoverRequest();
/// @dev Cannot double-initialize.
error AlreadyInitialized();
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* EVENTS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev The ownership is transferred from `oldOwner` to `newOwner`.
/// This event is intentionally kept the same as OpenZeppelin's Ownable to be
/// compatible with indexers and [EIP-173](https://eips.ethereum.org/EIPS/eip-173),
/// despite it not being as lightweight as a single argument event.
event OwnershipTransferred(address indexed oldOwner, address indexed newOwner);
/// @dev An ownership handover to `pendingOwner` has been requested.
event OwnershipHandoverRequested(address indexed pendingOwner);
/// @dev The ownership handover to `pendingOwner` has been canceled.
event OwnershipHandoverCanceled(address indexed pendingOwner);
/// @dev `keccak256(bytes("OwnershipTransferred(address,address)"))`.
uint256 private constant _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE =
0x8be0079c531659141344cd1fd0a4f28419497f9722a3daafe3b4186f6b6457e0;
/// @dev `keccak256(bytes("OwnershipHandoverRequested(address)"))`.
uint256 private constant _OWNERSHIP_HANDOVER_REQUESTED_EVENT_SIGNATURE =
0xdbf36a107da19e49527a7176a1babf963b4b0ff8cde35ee35d6cd8f1f9ac7e1d;
/// @dev `keccak256(bytes("OwnershipHandoverCanceled(address)"))`.
uint256 private constant _OWNERSHIP_HANDOVER_CANCELED_EVENT_SIGNATURE =
0xfa7b8eab7da67f412cc9575ed43464468f9bfbae89d1675917346ca6d8fe3c92;
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* STORAGE */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev The owner slot is given by:
/// `bytes32(~uint256(uint32(bytes4(keccak256("_OWNER_SLOT_NOT")))))`.
/// It is intentionally chosen to be a high value
/// to avoid collision with lower slots.
/// The choice of manual storage layout is to enable compatibility
/// with both regular and upgradeable contracts.
bytes32 internal constant _OWNER_SLOT =
0xffffffffffffffffffffffffffffffffffffffffffffffffffffffff74873927;
/// The ownership handover slot of `newOwner` is given by:
/// ```
/// mstore(0x00, or(shl(96, user), _HANDOVER_SLOT_SEED))
/// let handoverSlot := keccak256(0x00, 0x20)
/// ```
/// It stores the expiry timestamp of the two-step ownership handover.
uint256 private constant _HANDOVER_SLOT_SEED = 0x389a75e1;
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* INTERNAL FUNCTIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Override to return true to make `_initializeOwner` prevent double-initialization.
function _guardInitializeOwner() internal pure virtual returns (bool guard) {}
/// @dev Initializes the owner directly without authorization guard.
/// This function must be called upon initialization,
/// regardless of whether the contract is upgradeable or not.
/// This is to enable generalization to both regular and upgradeable contracts,
/// and to save gas in case the initial owner is not the caller.
/// For performance reasons, this function will not check if there
/// is an existing owner.
function _initializeOwner(address newOwner) internal virtual {
if (_guardInitializeOwner()) {
/// @solidity memory-safe-assembly
assembly {
let ownerSlot := _OWNER_SLOT
if sload(ownerSlot) {
mstore(0x00, 0x0dc149f0) // `AlreadyInitialized()`.
revert(0x1c, 0x04)
}
// Clean the upper 96 bits.
newOwner := shr(96, shl(96, newOwner))
// Store the new value.
sstore(ownerSlot, or(newOwner, shl(255, iszero(newOwner))))
// Emit the {OwnershipTransferred} event.
log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, 0, newOwner)
}
} else {
/// @solidity memory-safe-assembly
assembly {
// Clean the upper 96 bits.
newOwner := shr(96, shl(96, newOwner))
// Store the new value.
sstore(_OWNER_SLOT, newOwner)
// Emit the {OwnershipTransferred} event.
log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, 0, newOwner)
}
}
}
/// @dev Sets the owner directly without authorization guard.
function _setOwner(address newOwner) internal virtual {
if (_guardInitializeOwner()) {
/// @solidity memory-safe-assembly
assembly {
let ownerSlot := _OWNER_SLOT
// Clean the upper 96 bits.
newOwner := shr(96, shl(96, newOwner))
// Emit the {OwnershipTransferred} event.
log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, sload(ownerSlot), newOwner)
// Store the new value.
sstore(ownerSlot, or(newOwner, shl(255, iszero(newOwner))))
}
} else {
/// @solidity memory-safe-assembly
assembly {
let ownerSlot := _OWNER_SLOT
// Clean the upper 96 bits.
newOwner := shr(96, shl(96, newOwner))
// Emit the {OwnershipTransferred} event.
log3(0, 0, _OWNERSHIP_TRANSFERRED_EVENT_SIGNATURE, sload(ownerSlot), newOwner)
// Store the new value.
sstore(ownerSlot, newOwner)
}
}
}
/// @dev Throws if the sender is not the owner.
function _checkOwner() internal view virtual {
/// @solidity memory-safe-assembly
assembly {
// If the caller is not the stored owner, revert.
if iszero(eq(caller(), sload(_OWNER_SLOT))) {
mstore(0x00, 0x82b42900) // `Unauthorized()`.
revert(0x1c, 0x04)
}
}
}
/// @dev Returns how long a two-step ownership handover is valid for in seconds.
/// Override to return a different value if needed.
/// Made internal to conserve bytecode. Wrap it in a public function if needed.
function _ownershipHandoverValidFor() internal view virtual returns (uint64) {
return 48 * 3600;
}
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* PUBLIC UPDATE FUNCTIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Allows the owner to transfer the ownership to `newOwner`.
function transferOwnership(address newOwner) public payable virtual onlyOwner {
/// @solidity memory-safe-assembly
assembly {
if iszero(shl(96, newOwner)) {
mstore(0x00, 0x7448fbae) // `NewOwnerIsZeroAddress()`.
revert(0x1c, 0x04)
}
}
_setOwner(newOwner);
}
/// @dev Allows the owner to renounce their ownership.
function renounceOwnership() public payable virtual onlyOwner {
_setOwner(address(0));
}
/// @dev Request a two-step ownership handover to the caller.
/// The request will automatically expire in 48 hours (172800 seconds) by default.
function requestOwnershipHandover() public payable virtual {
unchecked {
uint256 expires = block.timestamp + _ownershipHandoverValidFor();
/// @solidity memory-safe-assembly
assembly {
// Compute and set the handover slot to `expires`.
mstore(0x0c, _HANDOVER_SLOT_SEED)
mstore(0x00, caller())
sstore(keccak256(0x0c, 0x20), expires)
// Emit the {OwnershipHandoverRequested} event.
log2(0, 0, _OWNERSHIP_HANDOVER_REQUESTED_EVENT_SIGNATURE, caller())
}
}
}
/// @dev Cancels the two-step ownership handover to the caller, if any.
function cancelOwnershipHandover() public payable virtual {
/// @solidity memory-safe-assembly
assembly {
// Compute and set the handover slot to 0.
mstore(0x0c, _HANDOVER_SLOT_SEED)
mstore(0x00, caller())
sstore(keccak256(0x0c, 0x20), 0)
// Emit the {OwnershipHandoverCanceled} event.
log2(0, 0, _OWNERSHIP_HANDOVER_CANCELED_EVENT_SIGNATURE, caller())
}
}
/// @dev Allows the owner to complete the two-step ownership handover to `pendingOwner`.
/// Reverts if there is no existing ownership handover requested by `pendingOwner`.
function completeOwnershipHandover(address pendingOwner) public payable virtual onlyOwner {
/// @solidity memory-safe-assembly
assembly {
// Compute and set the handover slot to 0.
mstore(0x0c, _HANDOVER_SLOT_SEED)
mstore(0x00, pendingOwner)
let handoverSlot := keccak256(0x0c, 0x20)
// If the handover does not exist, or has expired.
if gt(timestamp(), sload(handoverSlot)) {
mstore(0x00, 0x6f5e8818) // `NoHandoverRequest()`.
revert(0x1c, 0x04)
}
// Set the handover slot to 0.
sstore(handoverSlot, 0)
}
_setOwner(pendingOwner);
}
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* PUBLIC READ FUNCTIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Returns the owner of the contract.
function owner() public view virtual returns (address result) {
/// @solidity memory-safe-assembly
assembly {
result := sload(_OWNER_SLOT)
}
}
/// @dev Returns the expiry timestamp for the two-step ownership handover to `pendingOwner`.
function ownershipHandoverExpiresAt(address pendingOwner)
public
view
virtual
returns (uint256 result)
{
/// @solidity memory-safe-assembly
assembly {
// Compute the handover slot.
mstore(0x0c, _HANDOVER_SLOT_SEED)
mstore(0x00, pendingOwner)
// Load the handover slot.
result := sload(keccak256(0x0c, 0x20))
}
}
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* MODIFIERS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Marks a function as only callable by the owner.
modifier onlyOwner() virtual {
_checkOwner();
_;
}
}
/// @notice Library for converting numbers into strings and other string operations.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibString.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/LibString.sol)
///
/// @dev Note:
/// For performance and bytecode compactness, most of the string operations are restricted to
/// byte strings (7-bit ASCII), except where otherwise specified.
/// Usage of byte string operations on charsets with runes spanning two or more bytes
/// can lead to undefined behavior.
library LibString {
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* CUSTOM ERRORS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev The length of the output is too small to contain all the hex digits.
error HexLengthInsufficient();
/// @dev The length of the string is more than 32 bytes.
error TooBigForSmallString();
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* CONSTANTS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev The constant returned when the `search` is not found in the string.
uint256 internal constant NOT_FOUND = type(uint256).max;
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* DECIMAL OPERATIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Returns the base 10 decimal representation of `value`.
function toString(uint256 value) internal pure returns (string memory str) {
/// @solidity memory-safe-assembly
assembly {
// The maximum value of a uint256 contains 78 digits (1 byte per digit), but
// we allocate 0xa0 bytes to keep the free memory pointer 32-byte word aligned.
// We will need 1 word for the trailing zeros padding, 1 word for the length,
// and 3 words for a maximum of 78 digits.
str := add(mload(0x40), 0x80)
// Update the free memory pointer to allocate.
mstore(0x40, add(str, 0x20))
// Zeroize the slot after the string.
mstore(str, 0)
// Cache the end of the memory to calculate the length later.
let end := str
let w := not(0) // Tsk.
// We write the string from rightmost digit to leftmost digit.
// The following is essentially a do-while loop that also handles the zero case.
for { let temp := value } 1 {} {
str := add(str, w) // `sub(str, 1)`.
// Write the character to the pointer.
// The ASCII index of the '0' character is 48.
mstore8(str, add(48, mod(temp, 10)))
// Keep dividing `temp` until zero.
temp := div(temp, 10)
if iszero(temp) { break }
}
let length := sub(end, str)
// Move the pointer 32 bytes leftwards to make room for the length.
str := sub(str, 0x20)
// Store the length.
mstore(str, length)
}
}
/// @dev Returns the base 10 decimal representation of `value`.
function toString(int256 value) internal pure returns (string memory str) {
if (value >= 0) {
return toString(uint256(value));
}
unchecked {
str = toString(~uint256(value) + 1);
}
/// @solidity memory-safe-assembly
assembly {
// We still have some spare memory space on the left,
// as we have allocated 3 words (96 bytes) for up to 78 digits.
let length := mload(str) // Load the string length.
mstore(str, 0x2d) // Store the '-' character.
str := sub(str, 1) // Move back the string pointer by a byte.
mstore(str, add(length, 1)) // Update the string length.
}
}
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* HEXADECIMAL OPERATIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Returns the hexadecimal representation of `value`,
/// left-padded to an input length of `length` bytes.
/// The output is prefixed with "0x" encoded using 2 hexadecimal digits per byte,
/// giving a total length of `length * 2 + 2` bytes.
/// Reverts if `length` is too small for the output to contain all the digits.
function toHexString(uint256 value, uint256 length) internal pure returns (string memory str) {
str = toHexStringNoPrefix(value, length);
/// @solidity memory-safe-assembly
assembly {
let strLength := add(mload(str), 2) // Compute the length.
mstore(str, 0x3078) // Write the "0x" prefix.
str := sub(str, 2) // Move the pointer.
mstore(str, strLength) // Write the length.
}
}
/// @dev Returns the hexadecimal representation of `value`,
/// left-padded to an input length of `length` bytes.
/// The output is prefixed with "0x" encoded using 2 hexadecimal digits per byte,
/// giving a total length of `length * 2` bytes.
/// Reverts if `length` is too small for the output to contain all the digits.
function toHexStringNoPrefix(uint256 value, uint256 length)
internal
pure
returns (string memory str)
{
/// @solidity memory-safe-assembly
assembly {
// We need 0x20 bytes for the trailing zeros padding, `length * 2` bytes
// for the digits, 0x02 bytes for the prefix, and 0x20 bytes for the length.
// We add 0x20 to the total and round down to a multiple of 0x20.
// (0x20 + 0x20 + 0x02 + 0x20) = 0x62.
str := add(mload(0x40), and(add(shl(1, length), 0x42), not(0x1f)))
// Allocate the memory.
mstore(0x40, add(str, 0x20))
// Zeroize the slot after the string.
mstore(str, 0)
// Cache the end to calculate the length later.
let end := str
// Store "0123456789abcdef" in scratch space.
mstore(0x0f, 0x30313233343536373839616263646566)
let start := sub(str, add(length, length))
let w := not(1) // Tsk.
let temp := value
// We write the string from rightmost digit to leftmost digit.
// The following is essentially a do-while loop that also handles the zero case.
for {} 1 {} {
str := add(str, w) // `sub(str, 2)`.
mstore8(add(str, 1), mload(and(temp, 15)))
mstore8(str, mload(and(shr(4, temp), 15)))
temp := shr(8, temp)
if iszero(xor(str, start)) { break }
}
if temp {
mstore(0x00, 0x2194895a) // `HexLengthInsufficient()`.
revert(0x1c, 0x04)
}
// Compute the string's length.
let strLength := sub(end, str)
// Move the pointer and write the length.
str := sub(str, 0x20)
mstore(str, strLength)
}
}
/// @dev Returns the hexadecimal representation of `value`.
/// The output is prefixed with "0x" and encoded using 2 hexadecimal digits per byte.
/// As address are 20 bytes long, the output will left-padded to have
/// a length of `20 * 2 + 2` bytes.
function toHexString(uint256 value) internal pure returns (string memory str) {
str = toHexStringNoPrefix(value);
/// @solidity memory-safe-assembly
assembly {
let strLength := add(mload(str), 2) // Compute the length.
mstore(str, 0x3078) // Write the "0x" prefix.
str := sub(str, 2) // Move the pointer.
mstore(str, strLength) // Write the length.
}
}
/// @dev Returns the hexadecimal representation of `value`.
/// The output is prefixed with "0x".
/// The output excludes leading "0" from the `toHexString` output.
/// `0x00: "0x0", 0x01: "0x1", 0x12: "0x12", 0x123: "0x123"`.
function toMinimalHexString(uint256 value) internal pure returns (string memory str) {
str = toHexStringNoPrefix(value);
/// @solidity memory-safe-assembly
assembly {
let o := eq(byte(0, mload(add(str, 0x20))), 0x30) // Whether leading zero is present.
let strLength := add(mload(str), 2) // Compute the length.
mstore(add(str, o), 0x3078) // Write the "0x" prefix, accounting for leading zero.
str := sub(add(str, o), 2) // Move the pointer, accounting for leading zero.
mstore(str, sub(strLength, o)) // Write the length, accounting for leading zero.
}
}
/// @dev Returns the hexadecimal representation of `value`.
/// The output excludes leading "0" from the `toHexStringNoPrefix` output.
/// `0x00: "0", 0x01: "1", 0x12: "12", 0x123: "123"`.
function toMinimalHexStringNoPrefix(uint256 value) internal pure returns (string memory str) {
str = toHexStringNoPrefix(value);
/// @solidity memory-safe-assembly
assembly {
let o := eq(byte(0, mload(add(str, 0x20))), 0x30) // Whether leading zero is present.
let strLength := mload(str) // Get the length.
str := add(str, o) // Move the pointer, accounting for leading zero.
mstore(str, sub(strLength, o)) // Write the length, accounting for leading zero.
}
}
/// @dev Returns the hexadecimal representation of `value`.
/// The output is encoded using 2 hexadecimal digits per byte.
/// As address are 20 bytes long, the output will left-padded to have
/// a length of `20 * 2` bytes.
function toHexStringNoPrefix(uint256 value) internal pure returns (string memory str) {
/// @solidity memory-safe-assembly
assembly {
// We need 0x20 bytes for the trailing zeros padding, 0x20 bytes for the length,
// 0x02 bytes for the prefix, and 0x40 bytes for the digits.
// The next multiple of 0x20 above (0x20 + 0x20 + 0x02 + 0x40) is 0xa0.
str := add(mload(0x40), 0x80)
// Allocate the memory.
mstore(0x40, add(str, 0x20))
// Zeroize the slot after the string.
mstore(str, 0)
// Cache the end to calculate the length later.
let end := str
// Store "0123456789abcdef" in scratch space.
mstore(0x0f, 0x30313233343536373839616263646566)
let w := not(1) // Tsk.
// We write the string from rightmost digit to leftmost digit.
// The following is essentially a do-while loop that also handles the zero case.
for { let temp := value } 1 {} {
str := add(str, w) // `sub(str, 2)`.
mstore8(add(str, 1), mload(and(temp, 15)))
mstore8(str, mload(and(shr(4, temp), 15)))
temp := shr(8, temp)
if iszero(temp) { break }
}
// Compute the string's length.
let strLength := sub(end, str)
// Move the pointer and write the length.
str := sub(str, 0x20)
mstore(str, strLength)
}
}
/// @dev Returns the hexadecimal representation of `value`.
/// The output is prefixed with "0x", encoded using 2 hexadecimal digits per byte,
/// and the alphabets are capitalized conditionally according to
/// https://eips.ethereum.org/EIPS/eip-55
function toHexStringChecksummed(address value) internal pure returns (string memory str) {
str = toHexString(value);
/// @solidity memory-safe-assembly
assembly {
let mask := shl(6, div(not(0), 255)) // `0b010000000100000000 ...`
let o := add(str, 0x22)
let hashed := and(keccak256(o, 40), mul(34, mask)) // `0b10001000 ... `
let t := shl(240, 136) // `0b10001000 << 240`
for { let i := 0 } 1 {} {
mstore(add(i, i), mul(t, byte(i, hashed)))
i := add(i, 1)
if eq(i, 20) { break }
}
mstore(o, xor(mload(o), shr(1, and(mload(0x00), and(mload(o), mask)))))
o := add(o, 0x20)
mstore(o, xor(mload(o), shr(1, and(mload(0x20), and(mload(o), mask)))))
}
}
/// @dev Returns the hexadecimal representation of `value`.
/// The output is prefixed with "0x" and encoded using 2 hexadecimal digits per byte.
function toHexString(address value) internal pure returns (string memory str) {
str = toHexStringNoPrefix(value);
/// @solidity memory-safe-assembly
assembly {
let strLength := add(mload(str), 2) // Compute the length.
mstore(str, 0x3078) // Write the "0x" prefix.
str := sub(str, 2) // Move the pointer.
mstore(str, strLength) // Write the length.
}
}
/// @dev Returns the hexadecimal representation of `value`.
/// The output is encoded using 2 hexadecimal digits per byte.
function toHexStringNoPrefix(address value) internal pure returns (string memory str) {
/// @solidity memory-safe-assembly
assembly {
str := mload(0x40)
// Allocate the memory.
// We need 0x20 bytes for the trailing zeros padding, 0x20 bytes for the length,
// 0x02 bytes for the prefix, and 0x28 bytes for the digits.
// The next multiple of 0x20 above (0x20 + 0x20 + 0x02 + 0x28) is 0x80.
mstore(0x40, add(str, 0x80))
// Store "0123456789abcdef" in scratch space.
mstore(0x0f, 0x30313233343536373839616263646566)
str := add(str, 2)
mstore(str, 40)
let o := add(str, 0x20)
mstore(add(o, 40), 0)
value := shl(96, value)
// We write the string from rightmost digit to leftmost digit.
// The following is essentially a do-while loop that also handles the zero case.
for { let i := 0 } 1 {} {
let p := add(o, add(i, i))
let temp := byte(i, value)
mstore8(add(p, 1), mload(and(temp, 15)))
mstore8(p, mload(shr(4, temp)))
i := add(i, 1)
if eq(i, 20) { break }
}
}
}
/// @dev Returns the hex encoded string from the raw bytes.
/// The output is encoded using 2 hexadecimal digits per byte.
function toHexString(bytes memory raw) internal pure returns (string memory str) {
str = toHexStringNoPrefix(raw);
/// @solidity memory-safe-assembly
assembly {
let strLength := add(mload(str), 2) // Compute the length.
mstore(str, 0x3078) // Write the "0x" prefix.
str := sub(str, 2) // Move the pointer.
mstore(str, strLength) // Write the length.
}
}
/// @dev Returns the hex encoded string from the raw bytes.
/// The output is encoded using 2 hexadecimal digits per byte.
function toHexStringNoPrefix(bytes memory raw) internal pure returns (string memory str) {
/// @solidity memory-safe-assembly
assembly {
let length := mload(raw)
str := add(mload(0x40), 2) // Skip 2 bytes for the optional prefix.
mstore(str, add(length, length)) // Store the length of the output.
// Store "0123456789abcdef" in scratch space.
mstore(0x0f, 0x30313233343536373839616263646566)
let o := add(str, 0x20)
let end := add(raw, length)
for {} iszero(eq(raw, end)) {} {
raw := add(raw, 1)
mstore8(add(o, 1), mload(and(mload(raw), 15)))
mstore8(o, mload(and(shr(4, mload(raw)), 15)))
o := add(o, 2)
}
mstore(o, 0) // Zeroize the slot after the string.
mstore(0x40, add(o, 0x20)) // Allocate the memory.
}
}
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* RUNE STRING OPERATIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Returns the number of UTF characters in the string.
function runeCount(string memory s) internal pure returns (uint256 result) {
/// @solidity memory-safe-assembly
assembly {
if mload(s) {
mstore(0x00, div(not(0), 255))
mstore(0x20, 0x0202020202020202020202020202020202020202020202020303030304040506)
let o := add(s, 0x20)
let end := add(o, mload(s))
for { result := 1 } 1 { result := add(result, 1) } {
o := add(o, byte(0, mload(shr(250, mload(o)))))
if iszero(lt(o, end)) { break }
}
}
}
}
/// @dev Returns if this string is a 7-bit ASCII string.
/// (i.e. all characters codes are in [0..127])
function is7BitASCII(string memory s) internal pure returns (bool result) {
/// @solidity memory-safe-assembly
assembly {
let mask := shl(7, div(not(0), 255))
result := 1
let n := mload(s)
if n {
let o := add(s, 0x20)
let end := add(o, n)
let last := mload(end)
mstore(end, 0)
for {} 1 {} {
if and(mask, mload(o)) {
result := 0
break
}
o := add(o, 0x20)
if iszero(lt(o, end)) { break }
}
mstore(end, last)
}
}
}
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* BYTE STRING OPERATIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
// For performance and bytecode compactness, byte string operations are restricted
// to 7-bit ASCII strings. All offsets are byte offsets, not UTF character offsets.
// Usage of byte string operations on charsets with runes spanning two or more bytes
// can lead to undefined behavior.
/// @dev Returns `subject` all occurrences of `search` replaced with `replacement`.
function replace(string memory subject, string memory search, string memory replacement)
internal
pure
returns (string memory result)
{
/// @solidity memory-safe-assembly
assembly {
let subjectLength := mload(subject)
let searchLength := mload(search)
let replacementLength := mload(replacement)
subject := add(subject, 0x20)
search := add(search, 0x20)
replacement := add(replacement, 0x20)
result := add(mload(0x40), 0x20)
let subjectEnd := add(subject, subjectLength)
if iszero(gt(searchLength, subjectLength)) {
let subjectSearchEnd := add(sub(subjectEnd, searchLength), 1)
let h := 0
if iszero(lt(searchLength, 0x20)) { h := keccak256(search, searchLength) }
let m := shl(3, sub(0x20, and(searchLength, 0x1f)))
let s := mload(search)
for {} 1 {} {
let t := mload(subject)
// Whether the first `searchLength % 32` bytes of
// `subject` and `search` matches.
if iszero(shr(m, xor(t, s))) {
if h {
if iszero(eq(keccak256(subject, searchLength), h)) {
mstore(result, t)
result := add(result, 1)
subject := add(subject, 1)
if iszero(lt(subject, subjectSearchEnd)) { break }
continue
}
}
// Copy the `replacement` one word at a time.
for { let o := 0 } 1 {} {
mstore(add(result, o), mload(add(replacement, o)))
o := add(o, 0x20)
if iszero(lt(o, replacementLength)) { break }
}
result := add(result, replacementLength)
subject := add(subject, searchLength)
if searchLength {
if iszero(lt(subject, subjectSearchEnd)) { break }
continue
}
}
mstore(result, t)
result := add(result, 1)
subject := add(subject, 1)
if iszero(lt(subject, subjectSearchEnd)) { break }
}
}
let resultRemainder := result
result := add(mload(0x40), 0x20)
let k := add(sub(resultRemainder, result), sub(subjectEnd, subject))
// Copy the rest of the string one word at a time.
for {} lt(subject, subjectEnd) {} {
mstore(resultRemainder, mload(subject))
resultRemainder := add(resultRemainder, 0x20)
subject := add(subject, 0x20)
}
result := sub(result, 0x20)
let last := add(add(result, 0x20), k) // Zeroize the slot after the string.
mstore(last, 0)
mstore(0x40, add(last, 0x20)) // Allocate the memory.
mstore(result, k) // Store the length.
}
}
/// @dev Returns the byte index of the first location of `search` in `subject`,
/// searching from left to right, starting from `from`.
/// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `search` is not found.
function indexOf(string memory subject, string memory search, uint256 from)
internal
pure
returns (uint256 result)
{
/// @solidity memory-safe-assembly
assembly {
for { let subjectLength := mload(subject) } 1 {} {
if iszero(mload(search)) {
if iszero(gt(from, subjectLength)) {
result := from
break
}
result := subjectLength
break
}
let searchLength := mload(search)
let subjectStart := add(subject, 0x20)
result := not(0) // Initialize to `NOT_FOUND`.
subject := add(subjectStart, from)
let end := add(sub(add(subjectStart, subjectLength), searchLength), 1)
let m := shl(3, sub(0x20, and(searchLength, 0x1f)))
let s := mload(add(search, 0x20))
if iszero(and(lt(subject, end), lt(from, subjectLength))) { break }
if iszero(lt(searchLength, 0x20)) {
for { let h := keccak256(add(search, 0x20), searchLength) } 1 {} {
if iszero(shr(m, xor(mload(subject), s))) {
if eq(keccak256(subject, searchLength), h) {
result := sub(subject, subjectStart)
break
}
}
subject := add(subject, 1)
if iszero(lt(subject, end)) { break }
}
break
}
for {} 1 {} {
if iszero(shr(m, xor(mload(subject), s))) {
result := sub(subject, subjectStart)
break
}
subject := add(subject, 1)
if iszero(lt(subject, end)) { break }
}
break
}
}
}
/// @dev Returns the byte index of the first location of `search` in `subject`,
/// searching from left to right.
/// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `search` is not found.
function indexOf(string memory subject, string memory search)
internal
pure
returns (uint256 result)
{
result = indexOf(subject, search, 0);
}
/// @dev Returns the byte index of the first location of `search` in `subject`,
/// searching from right to left, starting from `from`.
/// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `search` is not found.
function lastIndexOf(string memory subject, string memory search, uint256 from)
internal
pure
returns (uint256 result)
{
/// @solidity memory-safe-assembly
assembly {
for {} 1 {} {
result := not(0) // Initialize to `NOT_FOUND`.
let searchLength := mload(search)
if gt(searchLength, mload(subject)) { break }
let w := result
let fromMax := sub(mload(subject), searchLength)
if iszero(gt(fromMax, from)) { from := fromMax }
let end := add(add(subject, 0x20), w)
subject := add(add(subject, 0x20), from)
if iszero(gt(subject, end)) { break }
// As this function is not too often used,
// we shall simply use keccak256 for smaller bytecode size.
for { let h := keccak256(add(search, 0x20), searchLength) } 1 {} {
if eq(keccak256(subject, searchLength), h) {
result := sub(subject, add(end, 1))
break
}
subject := add(subject, w) // `sub(subject, 1)`.
if iszero(gt(subject, end)) { break }
}
break
}
}
}
/// @dev Returns the byte index of the first location of `search` in `subject`,
/// searching from right to left.
/// Returns `NOT_FOUND` (i.e. `type(uint256).max`) if the `search` is not found.
function lastIndexOf(string memory subject, string memory search)
internal
pure
returns (uint256 result)
{
result = lastIndexOf(subject, search, uint256(int256(-1)));
}
/// @dev Returns true if `search` is found in `subject`, false otherwise.
function contains(string memory subject, string memory search) internal pure returns (bool) {
return indexOf(subject, search) != NOT_FOUND;
}
/// @dev Returns whether `subject` starts with `search`.
function startsWith(string memory subject, string memory search)
internal
pure
returns (bool result)
{
/// @solidity memory-safe-assembly
assembly {
let searchLength := mload(search)
// Just using keccak256 directly is actually cheaper.
// forgefmt: disable-next-item
result := and(
iszero(gt(searchLength, mload(subject))),
eq(
keccak256(add(subject, 0x20), searchLength),
keccak256(add(search, 0x20), searchLength)
)
)
}
}
/// @dev Returns whether `subject` ends with `search`.
function endsWith(string memory subject, string memory search)
internal
pure
returns (bool result)
{
/// @solidity memory-safe-assembly
assembly {
let searchLength := mload(search)
let subjectLength := mload(subject)
// Whether `search` is not longer than `subject`.
let withinRange := iszero(gt(searchLength, subjectLength))
// Just using keccak256 directly is actually cheaper.
// forgefmt: disable-next-item
result := and(
withinRange,
eq(
keccak256(
// `subject + 0x20 + max(subjectLength - searchLength, 0)`.
add(add(subject, 0x20), mul(withinRange, sub(subjectLength, searchLength))),
searchLength
),
keccak256(add(search, 0x20), searchLength)
)
)
}
}
/// @dev Returns `subject` repeated `times`.
function repeat(string memory subject, uint256 times)
internal
pure
returns (string memory result)
{
/// @solidity memory-safe-assembly
assembly {
let subjectLength := mload(subject)
if iszero(or(iszero(times), iszero(subjectLength))) {
subject := add(subject, 0x20)
result := mload(0x40)
let output := add(result, 0x20)
for {} 1 {} {
// Copy the `subject` one word at a time.
for { let o := 0 } 1 {} {
mstore(add(output, o), mload(add(subject, o)))
o := add(o, 0x20)
if iszero(lt(o, subjectLength)) { break }
}
output := add(output, subjectLength)
times := sub(times, 1)
if iszero(times) { break }
}
mstore(output, 0) // Zeroize the slot after the string.
let resultLength := sub(output, add(result, 0x20))
mstore(result, resultLength) // Store the length.
// Allocate the memory.
mstore(0x40, add(result, add(resultLength, 0x20)))
}
}
}
/// @dev Returns a copy of `subject` sliced from `start` to `end` (exclusive).
/// `start` and `end` are byte offsets.
function slice(string memory subject, uint256 start, uint256 end)
internal
pure
returns (string memory result)
{
/// @solidity memory-safe-assembly
assembly {
let subjectLength := mload(subject)
if iszero(gt(subjectLength, end)) { end := subjectLength }
if iszero(gt(subjectLength, start)) { start := subjectLength }
if lt(start, end) {
result := mload(0x40)
let resultLength := sub(end, start)
mstore(result, resultLength)
subject := add(subject, start)
let w := not(0x1f)
// Copy the `subject` one word at a time, backwards.
for { let o := and(add(resultLength, 0x1f), w) } 1 {} {
mstore(add(result, o), mload(add(subject, o)))
o := add(o, w) // `sub(o, 0x20)`.
if iszero(o) { break }
}
// Zeroize the slot after the string.
mstore(add(add(result, 0x20), resultLength), 0)
// Allocate memory for the length and the bytes,
// rounded up to a multiple of 32.
mstore(0x40, add(result, and(add(resultLength, 0x3f), w)))
}
}
}
/// @dev Returns a copy of `subject` sliced from `start` to the end of the string.
/// `start` is a byte offset.
function slice(string memory subject, uint256 start)
internal
pure
returns (string memory result)
{
result = slice(subject, start, uint256(int256(-1)));
}
/// @dev Returns all the indices of `search` in `subject`.
/// The indices are byte offsets.
function indicesOf(string memory subject, string memory search)
internal
pure
returns (uint256[] memory result)
{
/// @solidity memory-safe-assembly
assembly {
let subjectLength := mload(subject)
let searchLength := mload(search)
if iszero(gt(searchLength, subjectLength)) {
subject := add(subject, 0x20)
search := add(search, 0x20)
result := add(mload(0x40), 0x20)
let subjectStart := subject
let subjectSearchEnd := add(sub(add(subject, subjectLength), searchLength), 1)
let h := 0
if iszero(lt(searchLength, 0x20)) { h := keccak256(search, searchLength) }
let m := shl(3, sub(0x20, and(searchLength, 0x1f)))
let s := mload(search)
for {} 1 {} {
let t := mload(subject)
// Whether the first `searchLength % 32` bytes of
// `subject` and `search` matches.
if iszero(shr(m, xor(t, s))) {
if h {
if iszero(eq(keccak256(subject, searchLength), h)) {
subject := add(subject, 1)
if iszero(lt(subject, subjectSearchEnd)) { break }
continue
}
}
// Append to `result`.
mstore(result, sub(subject, subjectStart))
result := add(result, 0x20)
// Advance `subject` by `searchLength`.
subject := add(subject, searchLength)
if searchLength {
if iszero(lt(subject, subjectSearchEnd)) { break }
continue
}
}
subject := add(subject, 1)
if iszero(lt(subject, subjectSearchEnd)) { break }
}
let resultEnd := result
// Assign `result` to the free memory pointer.
result := mload(0x40)
// Store the length of `result`.
mstore(result, shr(5, sub(resultEnd, add(result, 0x20))))
// Allocate memory for result.
// We allocate one more word, so this array can be recycled for {split}.
mstore(0x40, add(resultEnd, 0x20))
}
}
}
/// @dev Returns a arrays of strings based on the `delimiter` inside of the `subject` string.
function split(string memory subject, string memory delimiter)
internal
pure
returns (string[] memory result)
{
uint256[] memory indices = indicesOf(subject, delimiter);
/// @solidity memory-safe-assembly
assembly {
let w := not(0x1f)
let indexPtr := add(indices, 0x20)
let indicesEnd := add(indexPtr, shl(5, add(mload(indices), 1)))
mstore(add(indicesEnd, w), mload(subject))
mstore(indices, add(mload(indices), 1))
let prevIndex := 0
for {} 1 {} {
let index := mload(indexPtr)
mstore(indexPtr, 0x60)
if iszero(eq(index, prevIndex)) {
let element := mload(0x40)
let elementLength := sub(index, prevIndex)
mstore(element, elementLength)
// Copy the `subject` one word at a time, backwards.
for { let o := and(add(elementLength, 0x1f), w) } 1 {} {
mstore(add(element, o), mload(add(add(subject, prevIndex), o)))
o := add(o, w) // `sub(o, 0x20)`.
if iszero(o) { break }
}
// Zeroize the slot after the string.
mstore(add(add(element, 0x20), elementLength), 0)
// Allocate memory for the length and the bytes,
// rounded up to a multiple of 32.
mstore(0x40, add(element, and(add(elementLength, 0x3f), w)))
// Store the `element` into the array.
mstore(indexPtr, element)
}
prevIndex := add(index, mload(delimiter))
indexPtr := add(indexPtr, 0x20)
if iszero(lt(indexPtr, indicesEnd)) { break }
}
result := indices
if iszero(mload(delimiter)) {
result := add(indices, 0x20)
mstore(result, sub(mload(indices), 2))
}
}
}
/// @dev Returns a concatenated string of `a` and `b`.
/// Cheaper than `string.concat()` and does not de-align the free memory pointer.
function concat(string memory a, string memory b)
internal
pure
returns (string memory result)
{
/// @solidity memory-safe-assembly
assembly {
let w := not(0x1f)
result := mload(0x40)
let aLength := mload(a)
// Copy `a` one word at a time, backwards.
for { let o := and(add(aLength, 0x20), w) } 1 {} {
mstore(add(result, o), mload(add(a, o)))
o := add(o, w) // `sub(o, 0x20)`.
if iszero(o) { break }
}
let bLength := mload(b)
let output := add(result, aLength)
// Copy `b` one word at a time, backwards.
for { let o := and(add(bLength, 0x20), w) } 1 {} {
mstore(add(output, o), mload(add(b, o)))
o := add(o, w) // `sub(o, 0x20)`.
if iszero(o) { break }
}
let totalLength := add(aLength, bLength)
let last := add(add(result, 0x20), totalLength)
// Zeroize the slot after the string.
mstore(last, 0)
// Stores the length.
mstore(result, totalLength)
// Allocate memory for the length and the bytes,
// rounded up to a multiple of 32.
mstore(0x40, and(add(last, 0x1f), w))
}
}
/// @dev Returns a copy of the string in either lowercase or UPPERCASE.
/// WARNING! This function is only compatible with 7-bit ASCII strings.
function toCase(string memory subject, bool toUpper)
internal
pure
returns (string memory result)
{
/// @solidity memory-safe-assembly
assembly {
let length := mload(subject)
if length {
result := add(mload(0x40), 0x20)
subject := add(subject, 1)
let flags := shl(add(70, shl(5, toUpper)), 0x3ffffff)
let w := not(0)
for { let o := length } 1 {} {
o := add(o, w)
let b := and(0xff, mload(add(subject, o)))
mstore8(add(result, o), xor(b, and(shr(b, flags), 0x20)))
if iszero(o) { break }
}
result := mload(0x40)
mstore(result, length) // Store the length.
let last := add(add(result, 0x20), length)
mstore(last, 0) // Zeroize the slot after the string.
mstore(0x40, add(last, 0x20)) // Allocate the memory.
}
}
}
/// @dev Returns a string from a small bytes32 string.
/// `s` must be null-terminated, or behavior will be undefined.
function fromSmallString(bytes32 s) internal pure returns (string memory result) {
/// @solidity memory-safe-assembly
assembly {
result := mload(0x40)
let n := 0
for {} byte(n, s) { n := add(n, 1) } {} // Scan for '\0'.
mstore(result, n)
let o := add(result, 0x20)
mstore(o, s)
mstore(add(o, n), 0)
mstore(0x40, add(result, 0x40))
}
}
/// @dev Returns the small string, with all bytes after the first null byte zeroized.
function normalizeSmallString(bytes32 s) internal pure returns (bytes32 result) {
/// @solidity memory-safe-assembly
assembly {
for {} byte(result, s) { result := add(result, 1) } {} // Scan for '\0'.
mstore(0x00, s)
mstore(result, 0x00)
result := mload(0x00)
}
}
/// @dev Returns the string as a normalized null-terminated small string.
function toSmallString(string memory s) internal pure returns (bytes32 result) {
/// @solidity memory-safe-assembly
assembly {
result := mload(s)
if iszero(lt(result, 33)) {
mstore(0x00, 0xec92f9a3) // `TooBigForSmallString()`.
revert(0x1c, 0x04)
}
result := shl(shl(3, sub(32, result)), mload(add(s, result)))
}
}
/// @dev Returns a lowercased copy of the string.
/// WARNING! This function is only compatible with 7-bit ASCII strings.
function lower(string memory subject) internal pure returns (string memory result) {
result = toCase(subject, false);
}
/// @dev Returns an UPPERCASED copy of the string.
/// WARNING! This function is only compatible with 7-bit ASCII strings.
function upper(string memory subject) internal pure returns (string memory result) {
result = toCase(subject, true);
}
/// @dev Escapes the string to be used within HTML tags.
function escapeHTML(string memory s) internal pure returns (string memory result) {
/// @solidity memory-safe-assembly
assembly {
let end := add(s, mload(s))
result := add(mload(0x40), 0x20)
// Store the bytes of the packed offsets and strides into the scratch space.
// `packed = (stride << 5) | offset`. Max offset is 20. Max stride is 6.
mstore(0x1f, 0x900094)
mstore(0x08, 0xc0000000a6ab)
// Store ""&'<>" into the scratch space.
mstore(0x00, shl(64, 0x2671756f743b26616d703b262333393b266c743b2667743b))
for {} iszero(eq(s, end)) {} {
s := add(s, 1)
let c := and(mload(s), 0xff)
// Not in `["\"","'","&","<",">"]`.
if iszero(and(shl(c, 1), 0x500000c400000000)) {
mstore8(result, c)
result := add(result, 1)
continue
}
let t := shr(248, mload(c))
mstore(result, mload(and(t, 0x1f)))
result := add(result, shr(5, t))
}
let last := result
mstore(last, 0) // Zeroize the slot after the string.
result := mload(0x40)
mstore(result, sub(last, add(result, 0x20))) // Store the length.
mstore(0x40, add(last, 0x20)) // Allocate the memory.
}
}
/// @dev Escapes the string to be used within double-quotes in a JSON.
/// If `addDoubleQuotes` is true, the result will be enclosed in double-quotes.
function escapeJSON(string memory s, bool addDoubleQuotes)
internal
pure
returns (string memory result)
{
/// @solidity memory-safe-assembly
assembly {
let end := add(s, mload(s))
result := add(mload(0x40), 0x20)
if addDoubleQuotes {
mstore8(result, 34)
result := add(1, result)
}
// Store "\\u0000" in scratch space.
// Store "0123456789abcdef" in scratch space.
// Also, store `{0x08:"b", 0x09:"t", 0x0a:"n", 0x0c:"f", 0x0d:"r"}`.
// into the scratch space.
mstore(0x15, 0x5c75303030303031323334353637383961626364656662746e006672)
// Bitmask for detecting `["\"","\\"]`.
let e := or(shl(0x22, 1), shl(0x5c, 1))
for {} iszero(eq(s, end)) {} {
s := add(s, 1)
let c := and(mload(s), 0xff)
if iszero(lt(c, 0x20)) {
if iszero(and(shl(c, 1), e)) {
// Not in `["\"","\\"]`.
mstore8(result, c)
result := add(result, 1)
continue
}
mstore8(result, 0x5c) // "\\".
mstore8(add(result, 1), c)
result := add(result, 2)
continue
}
if iszero(and(shl(c, 1), 0x3700)) {
// Not in `["\b","\t","\n","\f","\d"]`.
mstore8(0x1d, mload(shr(4, c))) // Hex value.
mstore8(0x1e, mload(and(c, 15))) // Hex value.
mstore(result, mload(0x19)) // "\\u00XX".
result := add(result, 6)
continue
}
mstore8(result, 0x5c) // "\\".
mstore8(add(result, 1), mload(add(c, 8)))
result := add(result, 2)
}
if addDoubleQuotes {
mstore8(result, 34)
result := add(1, result)
}
let last := result
mstore(last, 0) // Zeroize the slot after the string.
result := mload(0x40)
mstore(result, sub(last, add(result, 0x20))) // Store the length.
mstore(0x40, add(last, 0x20)) // Allocate the memory.
}
}
/// @dev Escapes the string to be used within double-quotes in a JSON.
function escapeJSON(string memory s) internal pure returns (string memory result) {
result = escapeJSON(s, false);
}
/// @dev Returns whether `a` equals `b`.
function eq(string memory a, string memory b) internal pure returns (bool result) {
/// @solidity memory-safe-assembly
assembly {
result := eq(keccak256(add(a, 0x20), mload(a)), keccak256(add(b, 0x20), mload(b)))
}
}
/// @dev Returns whether `a` equals `b`, where `b` is a null-terminated small string.
function eqs(string memory a, bytes32 b) internal pure returns (bool result) {
/// @solidity memory-safe-assembly
assembly {
// These should be evaluated on compile time, as far as possible.
let m := not(shl(7, div(not(iszero(b)), 255))) // `0x7f7f ...`.
let x := not(or(m, or(b, add(m, and(b, m)))))
let r := shl(7, iszero(iszero(shr(128, x))))
r := or(r, shl(6, iszero(iszero(shr(64, shr(r, x))))))
r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
r := or(r, shl(4, lt(0xffff, shr(r, x))))
r := or(r, shl(3, lt(0xff, shr(r, x))))
// forgefmt: disable-next-item
result := gt(eq(mload(a), add(iszero(x), xor(31, shr(3, r)))),
xor(shr(add(8, r), b), shr(add(8, r), mload(add(a, 0x20)))))
}
}
/// @dev Packs a single string with its length into a single word.
/// Returns `bytes32(0)` if the length is zero or greater than 31.
function packOne(string memory a) internal pure returns (bytes32 result) {
/// @solidity memory-safe-assembly
assembly {
// We don't need to zero right pad the string,
// since this is our own custom non-standard packing scheme.
result :=
mul(
// Load the length and the bytes.
mload(add(a, 0x1f)),
// `length != 0 && length < 32`. Abuses underflow.
// Assumes that the length is valid and within the block gas limit.
lt(sub(mload(a), 1), 0x1f)
)
}
}
/// @dev Unpacks a string packed using {packOne}.
/// Returns the empty string if `packed` is `bytes32(0)`.
/// If `packed` is not an output of {packOne}, the output behavior is undefined.
function unpackOne(bytes32 packed) internal pure returns (string memory result) {
/// @solidity memory-safe-assembly
assembly {
// Grab the free memory pointer.
result := mload(0x40)
// Allocate 2 words (1 for the length, 1 for the bytes).
mstore(0x40, add(result, 0x40))
// Zeroize the length slot.
mstore(result, 0)
// Store the length and bytes.
mstore(add(result, 0x1f), packed)
// Right pad with zeroes.
mstore(add(add(result, 0x20), mload(result)), 0)
}
}
/// @dev Packs two strings with their lengths into a single word.
/// Returns `bytes32(0)` if combined length is zero or greater than 30.
function packTwo(string memory a, string memory b) internal pure returns (bytes32 result) {
/// @solidity memory-safe-assembly
assembly {
let aLength := mload(a)
// We don't need to zero right pad the strings,
// since this is our own custom non-standard packing scheme.
result :=
mul(
// Load the length and the bytes of `a` and `b`.
or(
shl(shl(3, sub(0x1f, aLength)), mload(add(a, aLength))),
mload(sub(add(b, 0x1e), aLength))
),
// `totalLength != 0 && totalLength < 31`. Abuses underflow.
// Assumes that the lengths are valid and within the block gas limit.
lt(sub(add(aLength, mload(b)), 1), 0x1e)
)
}
}
/// @dev Unpacks strings packed using {packTwo}.
/// Returns the empty strings if `packed` is `bytes32(0)`.
/// If `packed` is not an output of {packTwo}, the output behavior is undefined.
function unpackTwo(bytes32 packed)
internal
pure
returns (string memory resultA, string memory resultB)
{
/// @solidity memory-safe-assembly
assembly {
// Grab the free memory pointer.
resultA := mload(0x40)
resultB := add(resultA, 0x40)
// Allocate 2 words for each string (1 for the length, 1 for the byte). Total 4 words.
mstore(0x40, add(resultB, 0x40))
// Zeroize the length slots.
mstore(resultA, 0)
mstore(resultB, 0)
// Store the lengths and bytes.
mstore(add(resultA, 0x1f), packed)
mstore(add(resultB, 0x1f), mload(add(add(resultA, 0x20), mload(resultA))))
// Right pad with zeroes.
mstore(add(add(resultA, 0x20), mload(resultA)), 0)
mstore(add(add(resultB, 0x20), mload(resultB)), 0)
}
}
/// @dev Directly returns `a` without copying.
function directReturn(string memory a) internal pure {
assembly {
// Assumes that the string does not start from the scratch space.
let retStart := sub(a, 0x20)
let retSize := add(mload(a), 0x40)
// Right pad with zeroes. Just in case the string is produced
// by a method that doesn't zero right pad.
mstore(add(retStart, retSize), 0)
// Store the return offset.
mstore(retStart, 0x20)
// End the transaction, returning the string.
return(retStart, retSize)
}
}
}
/// @notice Arithmetic library with operations for fixed-point numbers.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/FixedPointMathLib.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/FixedPointMathLib.sol)
library FixedPointMathLib {
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* CUSTOM ERRORS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev The operation failed, as the output exceeds the maximum value of uint256.
error ExpOverflow();
/// @dev The operation failed, as the output exceeds the maximum value of uint256.
error FactorialOverflow();
/// @dev The operation failed, due to an overflow.
error RPowOverflow();
/// @dev The mantissa is too big to fit.
error MantissaOverflow();
/// @dev The operation failed, due to an multiplication overflow.
error MulWadFailed();
/// @dev The operation failed, due to an multiplication overflow.
error SMulWadFailed();
/// @dev The operation failed, either due to a multiplication overflow, or a division by a zero.
error DivWadFailed();
/// @dev The operation failed, either due to a multiplication overflow, or a division by a zero.
error SDivWadFailed();
/// @dev The operation failed, either due to a multiplication overflow, or a division by a zero.
error MulDivFailed();
/// @dev The division failed, as the denominator is zero.
error DivFailed();
/// @dev The full precision multiply-divide operation failed, either due
/// to the result being larger than 256 bits, or a division by a zero.
error FullMulDivFailed();
/// @dev The output is undefined, as the input is less-than-or-equal to zero.
error LnWadUndefined();
/// @dev The input outside the acceptable domain.
error OutOfDomain();
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* CONSTANTS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev The scalar of ETH and most ERC20s.
uint256 internal constant WAD = 1e18;
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* SIMPLIFIED FIXED POINT OPERATIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Equivalent to `(x * y) / WAD` rounded down.
function mulWad(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
// Equivalent to `require(y == 0 || x <= type(uint256).max / y)`.
if mul(y, gt(x, div(not(0), y))) {
mstore(0x00, 0xbac65e5b) // `MulWadFailed()`.
revert(0x1c, 0x04)
}
z := div(mul(x, y), WAD)
}
}
/// @dev Equivalent to `(x * y) / WAD` rounded down.
function sMulWad(int256 x, int256 y) internal pure returns (int256 z) {
/// @solidity memory-safe-assembly
assembly {
z := mul(x, y)
// Equivalent to `require((x == 0 || z / x == y) && !(x == -1 && y == type(int256).min))`.
if iszero(gt(or(iszero(x), eq(sdiv(z, x), y)), lt(not(x), eq(y, shl(255, 1))))) {
mstore(0x00, 0xedcd4dd4) // `SMulWadFailed()`.
revert(0x1c, 0x04)
}
z := sdiv(z, WAD)
}
}
/// @dev Equivalent to `(x * y) / WAD` rounded down, but without overflow checks.
function rawMulWad(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := div(mul(x, y), WAD)
}
}
/// @dev Equivalent to `(x * y) / WAD` rounded down, but without overflow checks.
function rawSMulWad(int256 x, int256 y) internal pure returns (int256 z) {
/// @solidity memory-safe-assembly
assembly {
z := sdiv(mul(x, y), WAD)
}
}
/// @dev Equivalent to `(x * y) / WAD` rounded up.
function mulWadUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
// Equivalent to `require(y == 0 || x <= type(uint256).max / y)`.
if mul(y, gt(x, div(not(0), y))) {
mstore(0x00, 0xbac65e5b) // `MulWadFailed()`.
revert(0x1c, 0x04)
}
z := add(iszero(iszero(mod(mul(x, y), WAD))), div(mul(x, y), WAD))
}
}
/// @dev Equivalent to `(x * y) / WAD` rounded up, but without overflow checks.
function rawMulWadUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := add(iszero(iszero(mod(mul(x, y), WAD))), div(mul(x, y), WAD))
}
}
/// @dev Equivalent to `(x * WAD) / y` rounded down.
function divWad(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
// Equivalent to `require(y != 0 && (WAD == 0 || x <= type(uint256).max / WAD))`.
if iszero(mul(y, iszero(mul(WAD, gt(x, div(not(0), WAD)))))) {
mstore(0x00, 0x7c5f487d) // `DivWadFailed()`.
revert(0x1c, 0x04)
}
z := div(mul(x, WAD), y)
}
}
/// @dev Equivalent to `(x * WAD) / y` rounded down.
function sDivWad(int256 x, int256 y) internal pure returns (int256 z) {
/// @solidity memory-safe-assembly
assembly {
z := mul(x, WAD)
// Equivalent to `require(y != 0 && ((x * WAD) / WAD == x))`.
if iszero(and(iszero(iszero(y)), eq(sdiv(z, WAD), x))) {
mstore(0x00, 0x5c43740d) // `SDivWadFailed()`.
revert(0x1c, 0x04)
}
z := sdiv(mul(x, WAD), y)
}
}
/// @dev Equivalent to `(x * WAD) / y` rounded down, but without overflow and divide by zero checks.
function rawDivWad(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := div(mul(x, WAD), y)
}
}
/// @dev Equivalent to `(x * WAD) / y` rounded down, but without overflow and divide by zero checks.
function rawSDivWad(int256 x, int256 y) internal pure returns (int256 z) {
/// @solidity memory-safe-assembly
assembly {
z := sdiv(mul(x, WAD), y)
}
}
/// @dev Equivalent to `(x * WAD) / y` rounded up.
function divWadUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
// Equivalent to `require(y != 0 && (WAD == 0 || x <= type(uint256).max / WAD))`.
if iszero(mul(y, iszero(mul(WAD, gt(x, div(not(0), WAD)))))) {
mstore(0x00, 0x7c5f487d) // `DivWadFailed()`.
revert(0x1c, 0x04)
}
z := add(iszero(iszero(mod(mul(x, WAD), y))), div(mul(x, WAD), y))
}
}
/// @dev Equivalent to `(x * WAD) / y` rounded up, but without overflow and divide by zero checks.
function rawDivWadUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := add(iszero(iszero(mod(mul(x, WAD), y))), div(mul(x, WAD), y))
}
}
/// @dev Equivalent to `x` to the power of `y`.
/// because `x ** y = (e ** ln(x)) ** y = e ** (ln(x) * y)`.
function powWad(int256 x, int256 y) internal pure returns (int256) {
// Using `ln(x)` means `x` must be greater than 0.
return expWad((lnWad(x) * y) / int256(WAD));
}
/// @dev Returns `exp(x)`, denominated in `WAD`.
/// Credit to Remco Bloemen under MIT license: https://2Ï€.com/22/exp-ln
function expWad(int256 x) internal pure returns (int256 r) {
unchecked {
// When the result is less than 0.5 we return zero.
// This happens when `x <= (log(1e-18) * 1e18) ~ -4.15e19`.
if (x <= -41446531673892822313) return r;
/// @solidity memory-safe-assembly
assembly {
// When the result is greater than `(2**255 - 1) / 1e18` we can not represent it as
// an int. This happens when `x >= floor(log((2**255 - 1) / 1e18) * 1e18) ≈ 135`.
if iszero(slt(x, 135305999368893231589)) {
mstore(0x00, 0xa37bfec9) // `ExpOverflow()`.
revert(0x1c, 0x04)
}
}
// `x` is now in the range `(-42, 136) * 1e18`. Convert to `(-42, 136) * 2**96`
// for more intermediate precision and a binary basis. This base conversion
// is a multiplication by 1e18 / 2**96 = 5**18 / 2**78.
x = (x << 78) / 5 ** 18;
// Reduce range of x to (-½ ln 2, ½ ln 2) * 2**96 by factoring out powers
// of two such that exp(x) = exp(x') * 2**k, where k is an integer.
// Solving this gives k = round(x / log(2)) and x' = x - k * log(2).
int256 k = ((x << 96) / 54916777467707473351141471128 + 2 ** 95) >> 96;
x = x - k * 54916777467707473351141471128;
// `k` is in the range `[-61, 195]`.
// Evaluate using a (6, 7)-term rational approximation.
// `p` is made monic, we'll multiply by a scale factor later.
int256 y = x + 1346386616545796478920950773328;
y = ((y * x) >> 96) + 57155421227552351082224309758442;
int256 p = y + x - 94201549194550492254356042504812;
p = ((p * y) >> 96) + 28719021644029726153956944680412240;
p = p * x + (4385272521454847904659076985693276 << 96);
// We leave `p` in `2**192` basis so we don't need to scale it back up for the division.
int256 q = x - 2855989394907223263936484059900;
q = ((q * x) >> 96) + 50020603652535783019961831881945;
q = ((q * x) >> 96) - 533845033583426703283633433725380;
q = ((q * x) >> 96) + 3604857256930695427073651918091429;
q = ((q * x) >> 96) - 14423608567350463180887372962807573;
q = ((q * x) >> 96) + 26449188498355588339934803723976023;
/// @solidity memory-safe-assembly
assembly {
// Div in assembly because solidity adds a zero check despite the unchecked.
// The q polynomial won't have zeros in the domain as all its roots are complex.
// No scaling is necessary because p is already `2**96` too large.
r := sdiv(p, q)
}
// r should be in the range `(0.09, 0.25) * 2**96`.
// We now need to multiply r by:
// - The scale factor `s ≈ 6.031367120`.
// - The `2**k` factor from the range reduction.
// - The `1e18 / 2**96` factor for base conversion.
// We do this all at once, with an intermediate result in `2**213`
// basis, so the final right shift is always by a positive amount.
r = int256(
(uint256(r) * 3822833074963236453042738258902158003155416615667) >> uint256(195 - k)
);
}
}
/// @dev Returns `ln(x)`, denominated in `WAD`.
/// Credit to Remco Bloemen under MIT license: https://2Ï€.com/22/exp-ln
function lnWad(int256 x) internal pure returns (int256 r) {
/// @solidity memory-safe-assembly
assembly {
// We want to convert `x` from `10**18` fixed point to `2**96` fixed point.
// We do this by multiplying by `2**96 / 10**18`. But since
// `ln(x * C) = ln(x) + ln(C)`, we can simply do nothing here
// and add `ln(2**96 / 10**18)` at the end.
// Compute `k = log2(x) - 96`, `r = 159 - k = 255 - log2(x) = 255 ^ log2(x)`.
r := shl(7, lt(0xffffffffffffffffffffffffffffffff, x))
r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, x))))
r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
r := or(r, shl(4, lt(0xffff, shr(r, x))))
r := or(r, shl(3, lt(0xff, shr(r, x))))
// We place the check here for more optimal stack operations.
if iszero(sgt(x, 0)) {
mstore(0x00, 0x1615e638) // `LnWadUndefined()`.
revert(0x1c, 0x04)
}
// forgefmt: disable-next-item
r := xor(r, byte(and(0x1f, shr(shr(r, x), 0x8421084210842108cc6318c6db6d54be)),
0xf8f9f9faf9fdfafbf9fdfcfdfafbfcfef9fafdfafcfcfbfefafafcfbffffffff))
// Reduce range of x to (1, 2) * 2**96
// ln(2^k * x) = k * ln(2) + ln(x)
x := shr(159, shl(r, x))
// Evaluate using a (8, 8)-term rational approximation.
// `p` is made monic, we will multiply by a scale factor later.
// forgefmt: disable-next-item
let p := sub( // This heavily nested expression is to avoid stack-too-deep for via-ir.
sar(96, mul(add(43456485725739037958740375743393,
sar(96, mul(add(24828157081833163892658089445524,
sar(96, mul(add(3273285459638523848632254066296,
x), x))), x))), x)), 11111509109440967052023855526967)
p := sub(sar(96, mul(p, x)), 45023709667254063763336534515857)
p := sub(sar(96, mul(p, x)), 14706773417378608786704636184526)
p := sub(mul(p, x), shl(96, 795164235651350426258249787498))
// We leave `p` in `2**192` basis so we don't need to scale it back up for the division.
// `q` is monic by convention.
let q := add(5573035233440673466300451813936, x)
q := add(71694874799317883764090561454958, sar(96, mul(x, q)))
q := add(283447036172924575727196451306956, sar(96, mul(x, q)))
q := add(401686690394027663651624208769553, sar(96, mul(x, q)))
q := add(204048457590392012362485061816622, sar(96, mul(x, q)))
q := add(31853899698501571402653359427138, sar(96, mul(x, q)))
q := add(909429971244387300277376558375, sar(96, mul(x, q)))
// `p / q` is in the range `(0, 0.125) * 2**96`.
// Finalization, we need to:
// - Multiply by the scale factor `s = 5.549…`.
// - Add `ln(2**96 / 10**18)`.
// - Add `k * ln(2)`.
// - Multiply by `10**18 / 2**96 = 5**18 >> 78`.
// The q polynomial is known not to have zeros in the domain.
// No scaling required because p is already `2**96` too large.
p := sdiv(p, q)
// Multiply by the scaling factor: `s * 5**18 * 2**96`, base is now `5**18 * 2**192`.
p := mul(1677202110996718588342820967067443963516166, p)
// Add `ln(2) * k * 5**18 * 2**192`.
// forgefmt: disable-next-item
p := add(mul(16597577552685614221487285958193947469193820559219878177908093499208371, sub(159, r)), p)
// Add `ln(2**96 / 10**18) * 5**18 * 2**192`.
p := add(600920179829731861736702779321621459595472258049074101567377883020018308, p)
// Base conversion: mul `2**18 / 2**192`.
r := sar(174, p)
}
}
/// @dev Returns `W_0(x)`, denominated in `WAD`.
/// See: https://en.wikipedia.org/wiki/Lambert_W_function
/// a.k.a. Product log function. This is an approximation of the principal branch.
function lambertW0Wad(int256 x) internal pure returns (int256 w) {
// forgefmt: disable-next-item
unchecked {
if ((w = x) <= -367879441171442322) revert OutOfDomain(); // `x` less than `-1/e`.
int256 wad = int256(WAD);
int256 p = x;
uint256 c; // Whether we need to avoid catastrophic cancellation.
uint256 i = 4; // Number of iterations.
if (w <= 0x1ffffffffffff) {
if (-0x4000000000000 <= w) {
i = 1; // Inputs near zero only take one step to converge.
} else if (w <= -0x3ffffffffffffff) {
i = 32; // Inputs near `-1/e` take very long to converge.
}
} else if (w >> 63 == 0) {
/// @solidity memory-safe-assembly
assembly {
// Inline log2 for more performance, since the range is small.
let v := shr(49, w)
let l := shl(3, lt(0xff, v))
l := add(or(l, byte(and(0x1f, shr(shr(l, v), 0x8421084210842108cc6318c6db6d54be)),
0x0706060506020504060203020504030106050205030304010505030400000000)), 49)
w := sdiv(shl(l, 7), byte(sub(l, 31), 0x0303030303030303040506080c13))
c := gt(l, 60)
i := add(2, add(gt(l, 53), c))
}
} else {
int256 ll = lnWad(w = lnWad(w));
/// @solidity memory-safe-assembly
assembly {
// `w = ln(x) - ln(ln(x)) + b * ln(ln(x)) / ln(x)`.
w := add(sdiv(mul(ll, 1023715080943847266), w), sub(w, ll))
i := add(3, iszero(shr(68, x)))
c := iszero(shr(143, x))
}
if (c == 0) {
do { // If `x` is big, use Newton's so that intermediate values won't overflow.
int256 e = expWad(w);
/// @solidity memory-safe-assembly
assembly {
let t := mul(w, div(e, wad))
w := sub(w, sdiv(sub(t, x), div(add(e, t), wad)))
}
if (p <= w) break;
p = w;
} while (--i != 0);
/// @solidity memory-safe-assembly
assembly {
w := sub(w, sgt(w, 2))
}
return w;
}
}
do { // Otherwise, use Halley's for faster convergence.
int256 e = expWad(w);
/// @solidity memory-safe-assembly
assembly {
let t := add(w, wad)
let s := sub(mul(w, e), mul(x, wad))
w := sub(w, sdiv(mul(s, wad), sub(mul(e, t), sdiv(mul(add(t, wad), s), add(t, t)))))
}
if (p <= w) break;
p = w;
} while (--i != c);
/// @solidity memory-safe-assembly
assembly {
w := sub(w, sgt(w, 2))
}
// For certain ranges of `x`, we'll use the quadratic-rate recursive formula of
// R. Iacono and J.P. Boyd for the last iteration, to avoid catastrophic cancellation.
if (c != 0) {
int256 t = w | 1;
/// @solidity memory-safe-assembly
assembly {
x := sdiv(mul(x, wad), t)
}
x = (t * (wad + lnWad(x)));
/// @solidity memory-safe-assembly
assembly {
w := sdiv(x, add(wad, t))
}
}
}
}
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* GENERAL NUMBER UTILITIES */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Calculates `floor(x * y / d)` with full precision.
/// Throws if result overflows a uint256 or when `d` is zero.
/// Credit to Remco Bloemen under MIT license: https://2Ï€.com/21/muldiv
function fullMulDiv(uint256 x, uint256 y, uint256 d) internal pure returns (uint256 result) {
/// @solidity memory-safe-assembly
assembly {
for {} 1 {} {
// 512-bit multiply `[p1 p0] = x * y`.
// Compute the product mod `2**256` and mod `2**256 - 1`
// then use the Chinese Remainder Theorem to reconstruct
// the 512 bit result. The result is stored in two 256
// variables such that `product = p1 * 2**256 + p0`.
// Least significant 256 bits of the product.
result := mul(x, y) // Temporarily use `result` as `p0` to save gas.
let mm := mulmod(x, y, not(0))
// Most significant 256 bits of the product.
let p1 := sub(mm, add(result, lt(mm, result)))
// Handle non-overflow cases, 256 by 256 division.
if iszero(p1) {
if iszero(d) {
mstore(0x00, 0xae47f702) // `FullMulDivFailed()`.
revert(0x1c, 0x04)
}
result := div(result, d)
break
}
// Make sure the result is less than `2**256`. Also prevents `d == 0`.
if iszero(gt(d, p1)) {
mstore(0x00, 0xae47f702) // `FullMulDivFailed()`.
revert(0x1c, 0x04)
}
/*------------------- 512 by 256 division --------------------*/
// Make division exact by subtracting the remainder from `[p1 p0]`.
// Compute remainder using mulmod.
let r := mulmod(x, y, d)
// `t` is the least significant bit of `d`.
// Always greater or equal to 1.
let t := and(d, sub(0, d))
// Divide `d` by `t`, which is a power of two.
d := div(d, t)
// Invert `d mod 2**256`
// Now that `d` is an odd number, it has an inverse
// modulo `2**256` such that `d * inv = 1 mod 2**256`.
// Compute the inverse by starting with a seed that is correct
// correct for four bits. That is, `d * inv = 1 mod 2**4`.
let inv := xor(2, mul(3, d))
// Now use 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.
inv := mul(inv, sub(2, mul(d, inv))) // inverse mod 2**8
inv := mul(inv, sub(2, mul(d, inv))) // inverse mod 2**16
inv := mul(inv, sub(2, mul(d, inv))) // inverse mod 2**32
inv := mul(inv, sub(2, mul(d, inv))) // inverse mod 2**64
inv := mul(inv, sub(2, mul(d, inv))) // inverse mod 2**128
result :=
mul(
// Divide [p1 p0] by the factors of two.
// Shift in bits from `p1` into `p0`. For this we need
// to flip `t` such that it is `2**256 / t`.
or(
mul(sub(p1, gt(r, result)), add(div(sub(0, t), t), 1)),
div(sub(result, r), t)
),
// inverse mod 2**256
mul(inv, sub(2, mul(d, inv)))
)
break
}
}
}
/// @dev Calculates `floor(x * y / d)` with full precision, rounded up.
/// Throws if result overflows a uint256 or when `d` is zero.
/// Credit to Uniswap-v3-core under MIT license:
/// https://github.com/Uniswap/v3-core/blob/main/contracts/libraries/FullMath.sol
function fullMulDivUp(uint256 x, uint256 y, uint256 d) internal pure returns (uint256 result) {
result = fullMulDiv(x, y, d);
/// @solidity memory-safe-assembly
assembly {
if mulmod(x, y, d) {
result := add(result, 1)
if iszero(result) {
mstore(0x00, 0xae47f702) // `FullMulDivFailed()`.
revert(0x1c, 0x04)
}
}
}
}
/// @dev Returns `floor(x * y / d)`.
/// Reverts if `x * y` overflows, or `d` is zero.
function mulDiv(uint256 x, uint256 y, uint256 d) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
// Equivalent to require(d != 0 && (y == 0 || x <= type(uint256).max / y))
if iszero(mul(d, iszero(mul(y, gt(x, div(not(0), y)))))) {
mstore(0x00, 0xad251c27) // `MulDivFailed()`.
revert(0x1c, 0x04)
}
z := div(mul(x, y), d)
}
}
/// @dev Returns `ceil(x * y / d)`.
/// Reverts if `x * y` overflows, or `d` is zero.
function mulDivUp(uint256 x, uint256 y, uint256 d) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
// Equivalent to require(d != 0 && (y == 0 || x <= type(uint256).max / y))
if iszero(mul(d, iszero(mul(y, gt(x, div(not(0), y)))))) {
mstore(0x00, 0xad251c27) // `MulDivFailed()`.
revert(0x1c, 0x04)
}
z := add(iszero(iszero(mod(mul(x, y), d))), div(mul(x, y), d))
}
}
/// @dev Returns `ceil(x / d)`.
/// Reverts if `d` is zero.
function divUp(uint256 x, uint256 d) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
if iszero(d) {
mstore(0x00, 0x65244e4e) // `DivFailed()`.
revert(0x1c, 0x04)
}
z := add(iszero(iszero(mod(x, d))), div(x, d))
}
}
/// @dev Returns `max(0, x - y)`.
function zeroFloorSub(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := mul(gt(x, y), sub(x, y))
}
}
/// @dev Exponentiate `x` to `y` by squaring, denominated in base `b`.
/// Reverts if the computation overflows.
function rpow(uint256 x, uint256 y, uint256 b) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := mul(b, iszero(y)) // `0 ** 0 = 1`. Otherwise, `0 ** n = 0`.
if x {
z := xor(b, mul(xor(b, x), and(y, 1))) // `z = isEven(y) ? scale : x`
let half := shr(1, b) // Divide `b` by 2.
// Divide `y` by 2 every iteration.
for { y := shr(1, y) } y { y := shr(1, y) } {
let xx := mul(x, x) // Store x squared.
let xxRound := add(xx, half) // Round to the nearest number.
// Revert if `xx + half` overflowed, or if `x ** 2` overflows.
if or(lt(xxRound, xx), shr(128, x)) {
mstore(0x00, 0x49f7642b) // `RPowOverflow()`.
revert(0x1c, 0x04)
}
x := div(xxRound, b) // Set `x` to scaled `xxRound`.
// If `y` is odd:
if and(y, 1) {
let zx := mul(z, x) // Compute `z * x`.
let zxRound := add(zx, half) // Round to the nearest number.
// If `z * x` overflowed or `zx + half` overflowed:
if or(xor(div(zx, x), z), lt(zxRound, zx)) {
// Revert if `x` is non-zero.
if iszero(iszero(x)) {
mstore(0x00, 0x49f7642b) // `RPowOverflow()`.
revert(0x1c, 0x04)
}
}
z := div(zxRound, b) // Return properly scaled `zxRound`.
}
}
}
}
}
/// @dev Returns the square root of `x`.
function sqrt(uint256 x) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
// `floor(sqrt(2**15)) = 181`. `sqrt(2**15) - 181 = 2.84`.
z := 181 // The "correct" value is 1, but this saves a multiplication later.
// This segment is to get a reasonable initial estimate for the Babylonian method. With a bad
// start, the correct # of bits increases ~linearly each iteration instead of ~quadratically.
// Let `y = x / 2**r`. We check `y >= 2**(k + 8)`
// but shift right by `k` bits to ensure that if `x >= 256`, then `y >= 256`.
let r := shl(7, lt(0xffffffffffffffffffffffffffffffffff, x))
r := or(r, shl(6, lt(0xffffffffffffffffff, shr(r, x))))
r := or(r, shl(5, lt(0xffffffffff, shr(r, x))))
r := or(r, shl(4, lt(0xffffff, shr(r, x))))
z := shl(shr(1, r), z)
// Goal was to get `z*z*y` within a small factor of `x`. More iterations could
// get y in a tighter range. Currently, we will have y in `[256, 256*(2**16))`.
// We ensured `y >= 256` so that the relative difference between `y` and `y+1` is small.
// That's not possible if `x < 256` but we can just verify those cases exhaustively.
// Now, `z*z*y <= x < z*z*(y+1)`, and `y <= 2**(16+8)`, and either `y >= 256`, or `x < 256`.
// Correctness can be checked exhaustively for `x < 256`, so we assume `y >= 256`.
// Then `z*sqrt(y)` is within `sqrt(257)/sqrt(256)` of `sqrt(x)`, or about 20bps.
// For `s` in the range `[1/256, 256]`, the estimate `f(s) = (181/1024) * (s+1)`
// is in the range `(1/2.84 * sqrt(s), 2.84 * sqrt(s))`,
// with largest error when `s = 1` and when `s = 256` or `1/256`.
// Since `y` is in `[256, 256*(2**16))`, let `a = y/65536`, so that `a` is in `[1/256, 256)`.
// Then we can estimate `sqrt(y)` using
// `sqrt(65536) * 181/1024 * (a + 1) = 181/4 * (y + 65536)/65536 = 181 * (y + 65536)/2**18`.
// There is no overflow risk here since `y < 2**136` after the first branch above.
z := shr(18, mul(z, add(shr(r, x), 65536))) // A `mul()` is saved from starting `z` at 181.
// Given the worst case multiplicative error of 2.84 above, 7 iterations should be enough.
z := shr(1, add(z, div(x, z)))
z := shr(1, add(z, div(x, z)))
z := shr(1, add(z, div(x, z)))
z := shr(1, add(z, div(x, z)))
z := shr(1, add(z, div(x, z)))
z := shr(1, add(z, div(x, z)))
z := shr(1, add(z, div(x, z)))
// If `x+1` is a perfect square, the Babylonian method cycles between
// `floor(sqrt(x))` and `ceil(sqrt(x))`. This statement ensures we return floor.
// See: https://en.wikipedia.org/wiki/Integer_square_root#Using_only_integer_division
z := sub(z, lt(div(x, z), z))
}
}
/// @dev Returns the cube root of `x`.
/// Credit to bout3fiddy and pcaversaccio under AGPLv3 license:
/// https://github.com/pcaversaccio/snekmate/blob/main/src/utils/Math.vy
function cbrt(uint256 x) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
let r := shl(7, lt(0xffffffffffffffffffffffffffffffff, x))
r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, x))))
r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
r := or(r, shl(4, lt(0xffff, shr(r, x))))
r := or(r, shl(3, lt(0xff, shr(r, x))))
z := div(shl(div(r, 3), shl(lt(0xf, shr(r, x)), 0xf)), xor(7, mod(r, 3)))
z := div(add(add(div(x, mul(z, z)), z), z), 3)
z := div(add(add(div(x, mul(z, z)), z), z), 3)
z := div(add(add(div(x, mul(z, z)), z), z), 3)
z := div(add(add(div(x, mul(z, z)), z), z), 3)
z := div(add(add(div(x, mul(z, z)), z), z), 3)
z := div(add(add(div(x, mul(z, z)), z), z), 3)
z := div(add(add(div(x, mul(z, z)), z), z), 3)
z := sub(z, lt(div(x, mul(z, z)), z))
}
}
/// @dev Returns the square root of `x`, denominated in `WAD`.
function sqrtWad(uint256 x) internal pure returns (uint256 z) {
unchecked {
z = 10 ** 9;
if (x <= type(uint256).max / 10 ** 36 - 1) {
x *= 10 ** 18;
z = 1;
}
z *= sqrt(x);
}
}
/// @dev Returns the cube root of `x`, denominated in `WAD`.
function cbrtWad(uint256 x) internal pure returns (uint256 z) {
unchecked {
z = 10 ** 12;
if (x <= (type(uint256).max / 10 ** 36) * 10 ** 18 - 1) {
if (x >= type(uint256).max / 10 ** 36) {
x *= 10 ** 18;
z = 10 ** 6;
} else {
x *= 10 ** 36;
z = 1;
}
}
z *= cbrt(x);
}
}
/// @dev Returns the factorial of `x`.
function factorial(uint256 x) internal pure returns (uint256 result) {
/// @solidity memory-safe-assembly
assembly {
if iszero(lt(x, 58)) {
mstore(0x00, 0xaba0f2a2) // `FactorialOverflow()`.
revert(0x1c, 0x04)
}
for { result := 1 } x { x := sub(x, 1) } { result := mul(result, x) }
}
}
/// @dev Returns the log2 of `x`.
/// Equivalent to computing the index of the most significant bit (MSB) of `x`.
/// Returns 0 if `x` is zero.
function log2(uint256 x) internal pure returns (uint256 r) {
/// @solidity memory-safe-assembly
assembly {
r := shl(7, lt(0xffffffffffffffffffffffffffffffff, x))
r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, x))))
r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
r := or(r, shl(4, lt(0xffff, shr(r, x))))
r := or(r, shl(3, lt(0xff, shr(r, x))))
// forgefmt: disable-next-item
r := or(r, byte(and(0x1f, shr(shr(r, x), 0x8421084210842108cc6318c6db6d54be)),
0x0706060506020504060203020504030106050205030304010505030400000000))
}
}
/// @dev Returns the log2 of `x`, rounded up.
/// Returns 0 if `x` is zero.
function log2Up(uint256 x) internal pure returns (uint256 r) {
r = log2(x);
/// @solidity memory-safe-assembly
assembly {
r := add(r, lt(shl(r, 1), x))
}
}
/// @dev Returns the log10 of `x`.
/// Returns 0 if `x` is zero.
function log10(uint256 x) internal pure returns (uint256 r) {
/// @solidity memory-safe-assembly
assembly {
if iszero(lt(x, 100000000000000000000000000000000000000)) {
x := div(x, 100000000000000000000000000000000000000)
r := 38
}
if iszero(lt(x, 100000000000000000000)) {
x := div(x, 100000000000000000000)
r := add(r, 20)
}
if iszero(lt(x, 10000000000)) {
x := div(x, 10000000000)
r := add(r, 10)
}
if iszero(lt(x, 100000)) {
x := div(x, 100000)
r := add(r, 5)
}
r := add(r, add(gt(x, 9), add(gt(x, 99), add(gt(x, 999), gt(x, 9999)))))
}
}
/// @dev Returns the log10 of `x`, rounded up.
/// Returns 0 if `x` is zero.
function log10Up(uint256 x) internal pure returns (uint256 r) {
r = log10(x);
/// @solidity memory-safe-assembly
assembly {
r := add(r, lt(exp(10, r), x))
}
}
/// @dev Returns the log256 of `x`.
/// Returns 0 if `x` is zero.
function log256(uint256 x) internal pure returns (uint256 r) {
/// @solidity memory-safe-assembly
assembly {
r := shl(7, lt(0xffffffffffffffffffffffffffffffff, x))
r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, x))))
r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
r := or(r, shl(4, lt(0xffff, shr(r, x))))
r := or(shr(3, r), lt(0xff, shr(r, x)))
}
}
/// @dev Returns the log256 of `x`, rounded up.
/// Returns 0 if `x` is zero.
function log256Up(uint256 x) internal pure returns (uint256 r) {
r = log256(x);
/// @solidity memory-safe-assembly
assembly {
r := add(r, lt(shl(shl(3, r), 1), x))
}
}
/// @dev Returns the scientific notation format `mantissa * 10 ** exponent` of `x`.
/// Useful for compressing prices (e.g. using 25 bit mantissa and 7 bit exponent).
function sci(uint256 x) internal pure returns (uint256 mantissa, uint256 exponent) {
/// @solidity memory-safe-assembly
assembly {
mantissa := x
if mantissa {
if iszero(mod(mantissa, 1000000000000000000000000000000000)) {
mantissa := div(mantissa, 1000000000000000000000000000000000)
exponent := 33
}
if iszero(mod(mantissa, 10000000000000000000)) {
mantissa := div(mantissa, 10000000000000000000)
exponent := add(exponent, 19)
}
if iszero(mod(mantissa, 1000000000000)) {
mantissa := div(mantissa, 1000000000000)
exponent := add(exponent, 12)
}
if iszero(mod(mantissa, 1000000)) {
mantissa := div(mantissa, 1000000)
exponent := add(exponent, 6)
}
if iszero(mod(mantissa, 10000)) {
mantissa := div(mantissa, 10000)
exponent := add(exponent, 4)
}
if iszero(mod(mantissa, 100)) {
mantissa := div(mantissa, 100)
exponent := add(exponent, 2)
}
if iszero(mod(mantissa, 10)) {
mantissa := div(mantissa, 10)
exponent := add(exponent, 1)
}
}
}
}
/// @dev Convenience function for packing `x` into a smaller number using `sci`.
/// The `mantissa` will be in bits [7..255] (the upper 249 bits).
/// The `exponent` will be in bits [0..6] (the lower 7 bits).
/// Use `SafeCastLib` to safely ensure that the `packed` number is small
/// enough to fit in the desired unsigned integer type:
/// ```
/// uint32 packed = SafeCastLib.toUint32(FixedPointMathLib.packSci(777 ether));
/// ```
function packSci(uint256 x) internal pure returns (uint256 packed) {
(x, packed) = sci(x); // Reuse for `mantissa` and `exponent`.
/// @solidity memory-safe-assembly
assembly {
if shr(249, x) {
mstore(0x00, 0xce30380c) // `MantissaOverflow()`.
revert(0x1c, 0x04)
}
packed := or(shl(7, x), packed)
}
}
/// @dev Convenience function for unpacking a packed number from `packSci`.
function unpackSci(uint256 packed) internal pure returns (uint256 unpacked) {
unchecked {
unpacked = (packed >> 7) * 10 ** (packed & 0x7f);
}
}
/// @dev Returns the average of `x` and `y`.
function avg(uint256 x, uint256 y) internal pure returns (uint256 z) {
unchecked {
z = (x & y) + ((x ^ y) >> 1);
}
}
/// @dev Returns the average of `x` and `y`.
function avg(int256 x, int256 y) internal pure returns (int256 z) {
unchecked {
z = (x >> 1) + (y >> 1) + (((x & 1) + (y & 1)) >> 1);
}
}
/// @dev Returns the absolute value of `x`.
function abs(int256 x) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := xor(sub(0, shr(255, x)), add(sub(0, shr(255, x)), x))
}
}
/// @dev Returns the absolute distance between `x` and `y`.
function dist(int256 x, int256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := xor(mul(xor(sub(y, x), sub(x, y)), sgt(x, y)), sub(y, x))
}
}
/// @dev Returns the minimum of `x` and `y`.
function min(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := xor(x, mul(xor(x, y), lt(y, x)))
}
}
/// @dev Returns the minimum of `x` and `y`.
function min(int256 x, int256 y) internal pure returns (int256 z) {
/// @solidity memory-safe-assembly
assembly {
z := xor(x, mul(xor(x, y), slt(y, x)))
}
}
/// @dev Returns the maximum of `x` and `y`.
function max(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := xor(x, mul(xor(x, y), gt(y, x)))
}
}
/// @dev Returns the maximum of `x` and `y`.
function max(int256 x, int256 y) internal pure returns (int256 z) {
/// @solidity memory-safe-assembly
assembly {
z := xor(x, mul(xor(x, y), sgt(y, x)))
}
}
/// @dev Returns `x`, bounded to `minValue` and `maxValue`.
function clamp(uint256 x, uint256 minValue, uint256 maxValue)
internal
pure
returns (uint256 z)
{
/// @solidity memory-safe-assembly
assembly {
z := xor(x, mul(xor(x, minValue), gt(minValue, x)))
z := xor(z, mul(xor(z, maxValue), lt(maxValue, z)))
}
}
/// @dev Returns `x`, bounded to `minValue` and `maxValue`.
function clamp(int256 x, int256 minValue, int256 maxValue) internal pure returns (int256 z) {
/// @solidity memory-safe-assembly
assembly {
z := xor(x, mul(xor(x, minValue), sgt(minValue, x)))
z := xor(z, mul(xor(z, maxValue), slt(maxValue, z)))
}
}
/// @dev Returns greatest common divisor of `x` and `y`.
function gcd(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
for { z := x } y {} {
let t := y
y := mod(z, y)
z := t
}
}
}
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* RAW NUMBER OPERATIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Returns `x + y`, without checking for overflow.
function rawAdd(uint256 x, uint256 y) internal pure returns (uint256 z) {
unchecked {
z = x + y;
}
}
/// @dev Returns `x + y`, without checking for overflow.
function rawAdd(int256 x, int256 y) internal pure returns (int256 z) {
unchecked {
z = x + y;
}
}
/// @dev Returns `x - y`, without checking for underflow.
function rawSub(uint256 x, uint256 y) internal pure returns (uint256 z) {
unchecked {
z = x - y;
}
}
/// @dev Returns `x - y`, without checking for underflow.
function rawSub(int256 x, int256 y) internal pure returns (int256 z) {
unchecked {
z = x - y;
}
}
/// @dev Returns `x * y`, without checking for overflow.
function rawMul(uint256 x, uint256 y) internal pure returns (uint256 z) {
unchecked {
z = x * y;
}
}
/// @dev Returns `x * y`, without checking for overflow.
function rawMul(int256 x, int256 y) internal pure returns (int256 z) {
unchecked {
z = x * y;
}
}
/// @dev Returns `x / y`, returning 0 if `y` is zero.
function rawDiv(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := div(x, y)
}
}
/// @dev Returns `x / y`, returning 0 if `y` is zero.
function rawSDiv(int256 x, int256 y) internal pure returns (int256 z) {
/// @solidity memory-safe-assembly
assembly {
z := sdiv(x, y)
}
}
/// @dev Returns `x % y`, returning 0 if `y` is zero.
function rawMod(uint256 x, uint256 y) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := mod(x, y)
}
}
/// @dev Returns `x % y`, returning 0 if `y` is zero.
function rawSMod(int256 x, int256 y) internal pure returns (int256 z) {
/// @solidity memory-safe-assembly
assembly {
z := smod(x, y)
}
}
/// @dev Returns `(x + y) % d`, return 0 if `d` if zero.
function rawAddMod(uint256 x, uint256 y, uint256 d) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := addmod(x, y, d)
}
}
/// @dev Returns `(x * y) % d`, return 0 if `d` if zero.
function rawMulMod(uint256 x, uint256 y, uint256 d) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := mulmod(x, y, d)
}
}
}
/// @notice Safe ETH and ERC20 transfer library that gracefully handles missing return values.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/SafeTransferLib.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SafeTransferLib.sol)
///
/// @dev Note:
/// - For ETH transfers, please use `forceSafeTransferETH` for DoS protection.
/// - For ERC20s, this implementation won't check that a token has code,
/// responsibility is delegated to the caller.
library SafeTransferLib {
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* CUSTOM ERRORS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev The ETH transfer has failed.
error ETHTransferFailed();
/// @dev The ERC20 `transferFrom` has failed.
error TransferFromFailed();
/// @dev The ERC20 `transfer` has failed.
error TransferFailed();
/// @dev The ERC20 `approve` has failed.
error ApproveFailed();
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* CONSTANTS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Suggested gas stipend for contract receiving ETH that disallows any storage writes.
uint256 internal constant GAS_STIPEND_NO_STORAGE_WRITES = 2300;
/// @dev Suggested gas stipend for contract receiving ETH to perform a few
/// storage reads and writes, but low enough to prevent griefing.
uint256 internal constant GAS_STIPEND_NO_GRIEF = 100000;
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* ETH OPERATIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
// If the ETH transfer MUST succeed with a reasonable gas budget, use the force variants.
//
// The regular variants:
// - Forwards all remaining gas to the target.
// - Reverts if the target reverts.
// - Reverts if the current contract has insufficient balance.
//
// The force variants:
// - Forwards with an optional gas stipend
// (defaults to `GAS_STIPEND_NO_GRIEF`, which is sufficient for most cases).
// - If the target reverts, or if the gas stipend is exhausted,
// creates a temporary contract to force send the ETH via `SELFDESTRUCT`.
// Future compatible with `SENDALL`: https://eips.ethereum.org/EIPS/eip-4758.
// - Reverts if the current contract has insufficient balance.
//
// The try variants:
// - Forwards with a mandatory gas stipend.
// - Instead of reverting, returns whether the transfer succeeded.
/// @dev Sends `amount` (in wei) ETH to `to`.
function safeTransferETH(address to, uint256 amount) internal {
/// @solidity memory-safe-assembly
assembly {
if iszero(call(gas(), to, amount, codesize(), 0x00, codesize(), 0x00)) {
mstore(0x00, 0xb12d13eb) // `ETHTransferFailed()`.
revert(0x1c, 0x04)
}
}
}
/// @dev Sends all the ETH in the current contract to `to`.
function safeTransferAllETH(address to) internal {
/// @solidity memory-safe-assembly
assembly {
// Transfer all the ETH and check if it succeeded or not.
if iszero(call(gas(), to, selfbalance(), codesize(), 0x00, codesize(), 0x00)) {
mstore(0x00, 0xb12d13eb) // `ETHTransferFailed()`.
revert(0x1c, 0x04)
}
}
}
/// @dev Force sends `amount` (in wei) ETH to `to`, with a `gasStipend`.
function forceSafeTransferETH(address to, uint256 amount, uint256 gasStipend) internal {
/// @solidity memory-safe-assembly
assembly {
if lt(selfbalance(), amount) {
mstore(0x00, 0xb12d13eb) // `ETHTransferFailed()`.
revert(0x1c, 0x04)
}
if iszero(call(gasStipend, to, amount, codesize(), 0x00, codesize(), 0x00)) {
mstore(0x00, to) // Store the address in scratch space.
mstore8(0x0b, 0x73) // Opcode `PUSH20`.
mstore8(0x20, 0xff) // Opcode `SELFDESTRUCT`.
if iszero(create(amount, 0x0b, 0x16)) { revert(codesize(), codesize()) } // For gas estimation.
}
}
}
/// @dev Force sends all the ETH in the current contract to `to`, with a `gasStipend`.
function forceSafeTransferAllETH(address to, uint256 gasStipend) internal {
/// @solidity memory-safe-assembly
assembly {
if iszero(call(gasStipend, to, selfbalance(), codesize(), 0x00, codesize(), 0x00)) {
mstore(0x00, to) // Store the address in scratch space.
mstore8(0x0b, 0x73) // Opcode `PUSH20`.
mstore8(0x20, 0xff) // Opcode `SELFDESTRUCT`.
if iszero(create(selfbalance(), 0x0b, 0x16)) { revert(codesize(), codesize()) } // For gas estimation.
}
}
}
/// @dev Force sends `amount` (in wei) ETH to `to`, with `GAS_STIPEND_NO_GRIEF`.
function forceSafeTransferETH(address to, uint256 amount) internal {
/// @solidity memory-safe-assembly
assembly {
if lt(selfbalance(), amount) {
mstore(0x00, 0xb12d13eb) // `ETHTransferFailed()`.
revert(0x1c, 0x04)
}
if iszero(call(GAS_STIPEND_NO_GRIEF, to, amount, codesize(), 0x00, codesize(), 0x00)) {
mstore(0x00, to) // Store the address in scratch space.
mstore8(0x0b, 0x73) // Opcode `PUSH20`.
mstore8(0x20, 0xff) // Opcode `SELFDESTRUCT`.
if iszero(create(amount, 0x0b, 0x16)) { revert(codesize(), codesize()) } // For gas estimation.
}
}
}
/// @dev Force sends all the ETH in the current contract to `to`, with `GAS_STIPEND_NO_GRIEF`.
function forceSafeTransferAllETH(address to) internal {
/// @solidity memory-safe-assembly
assembly {
// forgefmt: disable-next-item
if iszero(call(GAS_STIPEND_NO_GRIEF, to, selfbalance(), codesize(), 0x00, codesize(), 0x00)) {
mstore(0x00, to) // Store the address in scratch space.
mstore8(0x0b, 0x73) // Opcode `PUSH20`.
mstore8(0x20, 0xff) // Opcode `SELFDESTRUCT`.
if iszero(create(selfbalance(), 0x0b, 0x16)) { revert(codesize(), codesize()) } // For gas estimation.
}
}
}
/// @dev Sends `amount` (in wei) ETH to `to`, with a `gasStipend`.
function trySafeTransferETH(address to, uint256 amount, uint256 gasStipend)
internal
returns (bool success)
{
/// @solidity memory-safe-assembly
assembly {
success := call(gasStipend, to, amount, codesize(), 0x00, codesize(), 0x00)
}
}
/// @dev Sends all the ETH in the current contract to `to`, with a `gasStipend`.
function trySafeTransferAllETH(address to, uint256 gasStipend)
internal
returns (bool success)
{
/// @solidity memory-safe-assembly
assembly {
success := call(gasStipend, to, selfbalance(), codesize(), 0x00, codesize(), 0x00)
}
}
/*´:°â€¢.°+.*•´.*:Ëš.°*.˚•´.°:°â€¢.°â€¢.*•´.*:Ëš.°*.˚•´.°:°â€¢.°+.*•´.*:*/
/* ERC20 OPERATIONS */
/*.•°:°.´+Ëš.*°.Ëš:*.´â€¢*.+°.•°:´*.´â€¢*.•°.•°:°.´:•˚°.*°.Ëš:*.´+°.•*/
/// @dev Sends `amount` of ERC20 `token` from `from` to `to`.
/// Reverts upon failure.
///
/// The `from` account must have at least `amount` approved for
/// the current contract to manage.
function safeTransferFrom(address token, address from, address to, uint256 amount) internal {
/// @solidity memory-safe-assembly
assembly {
let m := mload(0x40) // Cache the free memory pointer.
mstore(0x60, amount) // Store the `amount` argument.
mstore(0x40, to) // Store the `to` argument.
mstore(0x2c, shl(96, from)) // Store the `from` argument.
mstore(0x0c, 0x23b872dd000000000000000000000000) // `transferFrom(address,address,uint256)`.
// Perform the transfer, reverting upon failure.
if iszero(
and( // The arguments of `and` are evaluated from right to left.
or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
call(gas(), token, 0, 0x1c, 0x64, 0x00, 0x20)
)
) {
mstore(0x00, 0x7939f424) // `TransferFromFailed()`.
revert(0x1c, 0x04)
}
mstore(0x60, 0) // Restore the zero slot to zero.
mstore(0x40, m) // Restore the free memory pointer.
}
}
/// @dev Sends all of ERC20 `token` from `from` to `to`.
/// Reverts upon failure.
///
/// The `from` account must have their entire balance approved for
/// the current contract to manage.
function safeTransferAllFrom(address token, address from, address to)
internal
returns (uint256 amount)
{
/// @solidity memory-safe-assembly
assembly {
let m := mload(0x40) // Cache the free memory pointer.
mstore(0x40, to) // Store the `to` argument.
mstore(0x2c, shl(96, from)) // Store the `from` argument.
mstore(0x0c, 0x70a08231000000000000000000000000) // `balanceOf(address)`.
// Read the balance, reverting upon failure.
if iszero(
and( // The arguments of `and` are evaluated from right to left.
gt(returndatasize(), 0x1f), // At least 32 bytes returned.
staticcall(gas(), token, 0x1c, 0x24, 0x60, 0x20)
)
) {
mstore(0x00, 0x7939f424) // `TransferFromFailed()`.
revert(0x1c, 0x04)
}
mstore(0x00, 0x23b872dd) // `transferFrom(address,address,uint256)`.
amount := mload(0x60) // The `amount` is already at 0x60. We'll need to return it.
// Perform the transfer, reverting upon failure.
if iszero(
and( // The arguments of `and` are evaluated from right to left.
or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
call(gas(), token, 0, 0x1c, 0x64, 0x00, 0x20)
)
) {
mstore(0x00, 0x7939f424) // `TransferFromFailed()`.
revert(0x1c, 0x04)
}
mstore(0x60, 0) // Restore the zero slot to zero.
mstore(0x40, m) // Restore the free memory pointer.
}
}
/// @dev Sends `amount` of ERC20 `token` from the current contract to `to`.
/// Reverts upon failure.
function safeTransfer(address token, address to, uint256 amount) internal {
/// @solidity memory-safe-assembly
assembly {
mstore(0x14, to) // Store the `to` argument.
mstore(0x34, amount) // Store the `amount` argument.
mstore(0x00, 0xa9059cbb000000000000000000000000) // `transfer(address,uint256)`.
// Perform the transfer, reverting upon failure.
if iszero(
and( // The arguments of `and` are evaluated from right to left.
or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
)
) {
mstore(0x00, 0x90b8ec18) // `TransferFailed()`.
revert(0x1c, 0x04)
}
mstore(0x34, 0) // Restore the part of the free memory pointer that was overwritten.
}
}
/// @dev Sends all of ERC20 `token` from the current contract to `to`.
/// Reverts upon failure.
function safeTransferAll(address token, address to) internal returns (uint256 amount) {
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, 0x70a08231) // Store the function selector of `balanceOf(address)`.
mstore(0x20, address()) // Store the address of the current contract.
// Read the balance, reverting upon failure.
if iszero(
and( // The arguments of `and` are evaluated from right to left.
gt(returndatasize(), 0x1f), // At least 32 bytes returned.
staticcall(gas(), token, 0x1c, 0x24, 0x34, 0x20)
)
) {
mstore(0x00, 0x90b8ec18) // `TransferFailed()`.
revert(0x1c, 0x04)
}
mstore(0x14, to) // Store the `to` argument.
amount := mload(0x34) // The `amount` is already at 0x34. We'll need to return it.
mstore(0x00, 0xa9059cbb000000000000000000000000) // `transfer(address,uint256)`.
// Perform the transfer, reverting upon failure.
if iszero(
and( // The arguments of `and` are evaluated from right to left.
or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
)
) {
mstore(0x00, 0x90b8ec18) // `TransferFailed()`.
revert(0x1c, 0x04)
}
mstore(0x34, 0) // Restore the part of the free memory pointer that was overwritten.
}
}
/// @dev Sets `amount` of ERC20 `token` for `to` to manage on behalf of the current contract.
/// Reverts upon failure.
function safeApprove(address token, address to, uint256 amount) internal {
/// @solidity memory-safe-assembly
assembly {
mstore(0x14, to) // Store the `to` argument.
mstore(0x34, amount) // Store the `amount` argument.
mstore(0x00, 0x095ea7b3000000000000000000000000) // `approve(address,uint256)`.
// Perform the approval, reverting upon failure.
if iszero(
and( // The arguments of `and` are evaluated from right to left.
or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
)
) {
mstore(0x00, 0x3e3f8f73) // `ApproveFailed()`.
revert(0x1c, 0x04)
}
mstore(0x34, 0) // Restore the part of the free memory pointer that was overwritten.
}
}
/// @dev Sets `amount` of ERC20 `token` for `to` to manage on behalf of the current contract.
/// If the initial attempt to approve fails, attempts to reset the approved amount to zero,
/// then retries the approval again (some tokens, e.g. USDT, requires this).
/// Reverts upon failure.
function safeApproveWithRetry(address token, address to, uint256 amount) internal {
/// @solidity memory-safe-assembly
assembly {
mstore(0x14, to) // Store the `to` argument.
mstore(0x34, amount) // Store the `amount` argument.
mstore(0x00, 0x095ea7b3000000000000000000000000) // `approve(address,uint256)`.
// Perform the approval, retrying upon failure.
if iszero(
and( // The arguments of `and` are evaluated from right to left.
or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
)
) {
mstore(0x34, 0) // Store 0 for the `amount`.
mstore(0x00, 0x095ea7b3000000000000000000000000) // `approve(address,uint256)`.
pop(call(gas(), token, 0, 0x10, 0x44, codesize(), 0x00)) // Reset the approval.
mstore(0x34, amount) // Store back the original `amount`.
// Retry the approval, reverting upon failure.
if iszero(
and(
or(eq(mload(0x00), 1), iszero(returndatasize())), // Returned 1 or nothing.
call(gas(), token, 0, 0x10, 0x44, 0x00, 0x20)
)
) {
mstore(0x00, 0x3e3f8f73) // `ApproveFailed()`.
revert(0x1c, 0x04)
}
}
mstore(0x34, 0) // Restore the part of the free memory pointer that was overwritten.
}
}
/// @dev Returns the amount of ERC20 `token` owned by `account`.
/// Returns zero if the `token` does not exist.
function balanceOf(address token, address account) internal view returns (uint256 amount) {
/// @solidity memory-safe-assembly
assembly {
mstore(0x14, account) // Store the `account` argument.
mstore(0x00, 0x70a08231000000000000000000000000) // `balanceOf(address)`.
amount :=
mul(
mload(0x20),
and( // The arguments of `and` are evaluated from right to left.
gt(returndatasize(), 0x1f), // At least 32 bytes returned.
staticcall(gas(), token, 0x10, 0x24, 0x20, 0x20)
)
)
}
}
}
pragma abicoder v2;
/// @title Callback for IUniswapV3PoolActions#swap
/// @notice Any contract that calls IUniswapV3PoolActions#swap must implement this interface
interface IUniswapV3SwapCallback {
/// @notice Called to `msg.sender` after executing a swap via IUniswapV3Pool#swap.
/// @dev In the implementation you must pay the pool tokens owed for the swap.
/// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
/// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
/// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
/// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
/// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
/// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
/// @param data Any data passed through by the caller via the IUniswapV3PoolActions#swap call
function uniswapV3SwapCallback(
int256 amount0Delta,
int256 amount1Delta,
bytes calldata data
) external;
}
/// @title Router token swapping functionality
/// @notice Functions for swapping tokens via Uniswap V3
interface ISwapRouter is IUniswapV3SwapCallback {
struct ExactInputSingleParams {
address tokenIn;
address tokenOut;
uint24 fee;
address recipient;
uint256 deadline;
uint256 amountIn;
uint256 amountOutMinimum;
uint160 sqrtPriceLimitX96;
}
/// @notice Swaps `amountIn` of one token for as much as possible of another token
/// @param params The parameters necessary for the swap, encoded as `ExactInputSingleParams` in calldata
/// @return amountOut The amount of the received token
function exactInputSingle(ExactInputSingleParams calldata params) external payable returns (uint256 amountOut);
struct ExactInputParams {
bytes path;
address recipient;
uint256 deadline;
uint256 amountIn;
uint256 amountOutMinimum;
}
/// @notice Swaps `amountIn` of one token for as much as possible of another along the specified path
/// @param params The parameters necessary for the multi-hop swap, encoded as `ExactInputParams` in calldata
/// @return amountOut The amount of the received token
function exactInput(ExactInputParams calldata params) external payable returns (uint256 amountOut);
struct ExactOutputSingleParams {
address tokenIn;
address tokenOut;
uint24 fee;
address recipient;
uint256 deadline;
uint256 amountOut;
uint256 amountInMaximum;
uint160 sqrtPriceLimitX96;
}
/// @notice Swaps as little as possible of one token for `amountOut` of another token
/// @param params The parameters necessary for the swap, encoded as `ExactOutputSingleParams` in calldata
/// @return amountIn The amount of the input token
function exactOutputSingle(ExactOutputSingleParams calldata params) external payable returns (uint256 amountIn);
struct ExactOutputParams {
bytes path;
address recipient;
uint256 deadline;
uint256 amountOut;
uint256 amountInMaximum;
}
/// @notice Swaps as little as possible of one token for `amountOut` of another along the specified path (reversed)
/// @param params The parameters necessary for the multi-hop swap, encoded as `ExactOutputParams` in calldata
/// @return amountIn The amount of the input token
function exactOutput(ExactOutputParams calldata params) external payable returns (uint256 amountIn);
}
contract GENAI404 is DN404MS2, Ownable {
//
// CONSTANTS
//
address internal constant SWAP_ROUTER = 0xE592427A0AEce92De3Edee1F18E0157C05861564;
address internal constant WETH = 0xC02aaA39b223FE8D0A0e5C4F27eAD9083C756Cc2;
uint256 internal constant WHITELISTED_BITPOS = 1;
uint256 internal constant BLACKLISTED_BITPOS = 87;
uint256 internal immutable tax;
//
// ERRORS
//
error Locked();
error MaxBalanceLimitReached();
error NotLive();
error TradingLocked();
error MaxBalanceLocked();
error Blacklisted();
//
// STORAGE
//
string private _name;
string private _symbol;
string private _baseURI;
string private _dataURI;
string private _preURI;
string private _desc;
string private _website = "https://genai.build/";
bool public maxBalanceLocked;
bool public tradingLocked;
bool public revealed;
bool public live;
bool public buyTax = true;
bool public restricted;
uint8 public maxBalanceLimit;
address public pool;
//
// CONSTRUCTOR
//
constructor(
string memory name_,
string memory symbol_,
uint96 initialTokenSupply,
address initialSupplyOwner,
uint16 tax_ // out of 1000; 5 = 5%
) {
_initializeOwner(msg.sender);
_setWhitelisted(msg.sender,true);
_setWhitelisted(address(this),true);
_name = name_;
_symbol = symbol_;
maxBalanceLimit = 10;
tax = tax_;
address mirror = address(new DN404Mirror(msg.sender));
_initializeDN404(initialTokenSupply, initialSupplyOwner, mirror);
}
//
// TRANSFERS
//
function _applyMaxBalanceLimit(address from, uint256 toBalance, uint88 toAux) internal view {
unchecked {
uint256 limit = maxBalanceLimit;
if (limit == 0) return;
if (toBalance <= _WAD * limit) return;
if (isWhitelisted_(toAux)) return;
if (from == owner()) return;
revert MaxBalanceLimitReached();
}
}
function _transfer(address from, address to, uint256 amount) internal override {
if (to == address(0)) revert TransferToZeroAddress();
if(!live && from != owner()) revert NotLive();
DN404Storage storage $ = _getDN404Storage();
AddressData storage fromAddressData = _addressData(from);
AddressData storage toAddressData = _addressData(to);
_TransferTemps memory t;
t.fromOwnedLength = fromAddressData.ownedLength;
t.toOwnedLength = toAddressData.ownedLength;
t.fromBalance = fromAddressData.balance;
bool taxedBuy = (buyTax && from == pool && to != address(this));
if (amount > t.fromBalance) revert InsufficientBalance();
unchecked {
if(restricted && (isBlacklisted_(toAddressData.aux) || isBlacklisted_(fromAddressData.aux))) revert Blacklisted();
t.fromBalance -= amount;
fromAddressData.balance = uint96(t.fromBalance);
if(taxedBuy){
$.addressData[address(this)].balance = uint96(_addressData(address(this)).balance + FixedPointMathLib.fullMulDiv(amount, (tax), 1000));
toAddressData.balance = uint96(t.toBalance = toAddressData.balance + FixedPointMathLib.fullMulDiv(amount, (1000 - tax), 1000));
} else {
toAddressData.balance = uint96(t.toBalance = toAddressData.balance + amount);
}
t.nftAmountToBurn = _zeroFloorSub(t.fromOwnedLength, t.fromBalance / _WAD);
if (toAddressData.flags & _ADDRESS_DATA_GET_NFT_FLAG != 0) {
if (from == to) t.toOwnedLength = t.fromOwnedLength - t.nftAmountToBurn;
t.nftAmountToMint = _zeroFloorSub(t.toBalance / _WAD, t.toOwnedLength);
}
_PackedLogs memory packedLogs = _packedLogsMalloc(t.nftAmountToBurn + t.nftAmountToMint);
if (t.nftAmountToBurn != 0) {
Uint32Map storage fromOwned = $.owned[from];
uint256 fromIndex = t.fromOwnedLength;
uint256 fromEnd = fromIndex - t.nftAmountToBurn;
$.totalNFTSupply -= uint32(t.nftAmountToBurn);
fromAddressData.ownedLength = uint32(fromEnd);
// Burn loop.
do {
uint256 id = _get(fromOwned, --fromIndex);
_setOwnerAliasAndOwnedIndex($.oo, id, 0, 0);
delete $.tokenApprovals[id];
_packedLogsAppend(packedLogs, from, id, 1);
} while (fromIndex != fromEnd);
}
if (t.nftAmountToMint != 0) {
Uint32Map storage toOwned = $.owned[to];
uint256 toIndex = t.toOwnedLength;
uint256 toEnd = toIndex + t.nftAmountToMint;
uint32 toAlias = _registerAndResolveAlias(toAddressData, to);
uint256 maxNFTId = $.totalSupply / _WAD;
uint256 id = $.nextTokenId;
$.totalNFTSupply += uint32(t.nftAmountToMint);
toAddressData.ownedLength = uint32(toEnd);
// Mint loop.
do {
while (_get($.oo, _ownershipIndex(id)) != 0) {
if (++id > maxNFTId) id = 1;
}
_set(toOwned, toIndex, uint32(id));
_setOwnerAliasAndOwnedIndex($.oo, id, toAlias, uint32(toIndex++));
_packedLogsAppend(packedLogs, to, id, 0);
if (++id > maxNFTId) id = 1;
} while (toIndex != toEnd);
$.nextTokenId = uint32(id);
}
if (packedLogs.logs.length != 0) {
_packedLogsSend(packedLogs, $.mirrorERC721);
}
}
_applyMaxBalanceLimit(from, toAddressData.balance, toAddressData.aux);
if(!taxedBuy){
emit Transfer(from, to, amount);
}else {
emit Transfer(from, address(this), FixedPointMathLib.fullMulDiv(amount, (tax), 1000));
emit Transfer(from, to, FixedPointMathLib.fullMulDiv(amount, (1000-tax), 1000));
}
}
function _transferFromNFT(address from, address to, uint256 id, address msgSender)
internal
override
{
AddressData memory toAddressData = _addressData(to);
DN404MS2._transferFromNFT(from, to, id, msgSender);
_applyMaxBalanceLimit(from, toAddressData.balance, toAddressData.aux);
}
//
// META
//
function name() public view override returns (string memory) {
return _name;
}
function symbol() public view override returns (string memory) {
return _symbol;
}
function tokenURI(uint256 tokenId) public view override returns (string memory) {
if (bytes(_baseURI).length > 0) {
return string.concat(_baseURI, LibString.toString(tokenId));
} else {
uint8 seed = uint8(bytes1(keccak256(abi.encodePacked(tokenId+16181))));
string memory image;
string memory color;
if (seed <= 100) {
image = "gold.gif";
color = "Gold";
} else if (seed <= 160) {
image = "emerald.gif";
color = "Emerald";
} else if (seed <= 210) {
image = "aquamarine.gif";
color = "Aquamarine";
} else if (seed <= 240) {
image = "amethyst.gif";
color = "Amythyst";
} else if (seed <= 255) {
image = "garnet.gif";
color = "Garnet";
}
string memory jsonPreImage = string.concat(
string.concat(
string.concat(
string.concat('{"name": "GENPAL #', LibString.toString(tokenId)),'","description":"'),
string.concat(
string.concat(
_desc,
string.concat(
'","external_url":"',
_website
)
),
'","image":"'
)
),
string.concat(_dataURI, image)
);
string memory jsonPostImage = string.concat(
'","attributes":[{"trait_type":"Type","value":"',
color
);
string memory jsonPostTraits = '"}]}';
if(revealed){
return
string.concat(
"data:application/json;utf8,",
string.concat(
string.concat(jsonPreImage, jsonPostImage),
jsonPostTraits
)
);
} else {
return
string.concat(
"data:application/json;utf8,",
string.concat(
string.concat(
string.concat(
string.concat(
'{"name": "GENPAL #',
LibString.toString(tokenId)
),
'","description":"'
),
string.concat(
_desc,
string.concat(
'","external_url":"',
_website
),
'","image":"'
)
),
string.concat(
_preURI,
'"}'
)
)
);
}
}
}
//
// VIEW
//
function isWhitelisted(address target) public view returns (bool) {
return isWhitelisted_(_getAux(target));
}
function isBlacklisted(address target) public view returns (bool) {
return isWhitelisted_(_getAux(target));
}
//
// OPERATIONS
//
function setWhitelist(address target, bool status) public onlyOwner {
_setWhitelisted(target, status);
}
function setBlacklist(address[] calldata targets, bool status) public onlyOwner {
for(uint160 i; i < targets.length;) {
_setBlacklisted(targets[i],status);
unchecked {
++i;
}
}
}
function setRestricted(bool status) public onlyOwner {
restricted = status;
}
function setPool(address _pool, bool status) public onlyOwner {
pool = _pool;
_setWhitelisted(_pool, status);
}
function enableTrading( bool status) public onlyOwner {
if(tradingLocked) revert TradingLocked();
restricted = true;
live = status;
}
function reveal(bool status) public onlyOwner {
revealed = status;
}
function setWalletHoldingMax(uint8 limit) public onlyOwner {
if(maxBalanceLocked) revert MaxBalanceLocked();
maxBalanceLimit = limit;
}
function setBaseURI(string calldata baseURI_) public onlyOwner {
_baseURI = baseURI_;
}
function setDataURI(string calldata dataURI_) public onlyOwner {
_dataURI = dataURI_;
}
function setPreURI(string calldata preURI_) public onlyOwner {
_preURI = preURI_;
}
function setDesc(string calldata desc_) public onlyOwner {
_desc = desc_;
}
function setWebsite(string calldata website_) public onlyOwner {
_website = website_;
}
function collectTaxes() public onlyOwner {
DN404Storage storage $ = _getDN404Storage();
uint256 balance = $.addressData[address(this)].balance;
$.allowance[address(this)][SWAP_ROUTER] = balance;
emit Approval(address(this), SWAP_ROUTER, balance);
taxSwap(balance);
}
function taxSwitch(bool status) public onlyOwner {
buyTax = status;
}
function lockContract() public onlyOwner {
tradingLocked = true;
maxBalanceLocked = true;
}
function withdraw() public onlyOwner {
SafeTransferLib.safeTransferAllETH(msg.sender);
}
function withdrawTaxes(uint256 amount) public onlyOwner {
if(amount > balanceOf(address(this))){revert InsufficientBalance();}
_transfer(address(this),owner(),amount);
}
//
// INTERNAL
//
function taxSwap(uint256 contractBalance) internal {
if (contractBalance == 0) {
return;
}
uint256 total = totalSupply();
//only allowed to 1% sell MAX
if (contractBalance > total / 100) {
contractBalance = total / 100;
}
_swapTokensForEth(contractBalance);
}
function _swapTokensForEth(uint256 tokenAmount) internal {
uint160 dline = uint160(block.timestamp + 10 minutes);
ISwapRouter.ExactInputSingleParams memory params = ISwapRouter
.ExactInputSingleParams({
tokenIn: address(this),
tokenOut: WETH,
fee: 10000,
recipient: owner(),
deadline: dline,
amountIn: tokenAmount,
amountOutMinimum: 0,
sqrtPriceLimitX96: 0
});
ISwapRouter(SWAP_ROUTER).exactInputSingle(params);
}
function _setWhitelisted(address target, bool status) internal {
_setAux(target, setWhitelisted_(_getAux(target),status));
}
function _setBlacklisted(address target, bool status) internal {
_setAux(target, setBlacklisted_(_getAux(target),status));
}
function setWhitelisted_(uint88 packed, bool status) internal pure returns (uint88) {
if (isWhitelisted_(packed) != status) {
packed ^= uint88(1 << WHITELISTED_BITPOS);
}
return packed;
}
function setBlacklisted_(uint88 packed, bool status) internal pure returns (uint88) {
if (isBlacklisted_(packed) != status) {
packed ^= uint88(1 << BLACKLISTED_BITPOS);
}
return packed;
}
function isWhitelisted_(uint88 packed) internal pure returns (bool) {
return packed >> WHITELISTED_BITPOS != 0;
}
function isBlacklisted_(uint88 packed) internal pure returns (bool) {
return packed >> BLACKLISTED_BITPOS != 0;
}
}Contract Security Audit
- No Contract Security Audit Submitted- Submit Audit Here
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","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"transferFrom","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"newOwner","type":"address"}],"name":"transferOwnership","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[],"name":"withdraw","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"withdrawTaxes","outputs":[],"stateMutability":"nonpayable","type":"function"},{"stateMutability":"payable","type":"receive"}]Contract Creation Code
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Constructor Arguments (ABI-Encoded and is the last bytes of the Contract Creation Code above)
00000000000000000000000000000000000000000000000000000000000000a000000000000000000000000000000000000000000000000000000000000000e000000000000000000000000000000000000000000000d3c21bcecceda1000000000000000000000000000000163fb35efe6cd4dfb6a9b399142bfdf138dbd0840000000000000000000000000000000000000000000000000000000000000002000000000000000000000000000000000000000000000000000000000000000547454e4149000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000547454e4149000000000000000000000000000000000000000000000000000000
-----Decoded View---------------
Arg [0] : name_ (string): GENAI
Arg [1] : symbol_ (string): GENAI
Arg [2] : initialTokenSupply (uint96): 1000000000000000000000000
Arg [3] : initialSupplyOwner (address): 0x163fB35EFE6cD4dfb6A9b399142BfdF138DBD084
Arg [4] : tax_ (uint16): 2
-----Encoded View---------------
9 Constructor Arguments found :
Arg [0] : 00000000000000000000000000000000000000000000000000000000000000a0
Arg [1] : 00000000000000000000000000000000000000000000000000000000000000e0
Arg [2] : 00000000000000000000000000000000000000000000d3c21bcecceda1000000
Arg [3] : 000000000000000000000000163fb35efe6cd4dfb6a9b399142bfdf138dbd084
Arg [4] : 0000000000000000000000000000000000000000000000000000000000000002
Arg [5] : 0000000000000000000000000000000000000000000000000000000000000005
Arg [6] : 47454e4149000000000000000000000000000000000000000000000000000000
Arg [7] : 0000000000000000000000000000000000000000000000000000000000000005
Arg [8] : 47454e4149000000000000000000000000000000000000000000000000000000
Deployed Bytecode Sourcemap
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Swarm Source
ipfs://b8bbf3bd95d6cae55066ecf791bf44981f04ca911d11c8d4a4b3afbb38d1e7a9
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A token is a representation of an on-chain or off-chain asset. The token page shows information such as price, total supply, holders, transfers and social links. Learn more about this page in our Knowledge Base.