// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;
/// @notice Simple ERC721 implementation with storage hitchhiking.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/tokens/ERC721.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC721.sol)
/// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/tree/master/contracts/token/ERC721/ERC721.sol)
///
/// @dev Note:
/// - The ERC721 standard allows for self-approvals.
/// For performance, this implementation WILL NOT revert for such actions.
/// Please add any checks with overrides if desired.
/// - For performance, methods are made payable where permitted by the ERC721 standard.
/// - The `safeTransfer` functions use the identity precompile (0x4)
/// to copy memory internally.
///
/// If you are overriding:
/// - NEVER violate the ERC721 invariant:
/// the balance of an owner MUST always be equal to their number of ownership slots.
/// The transfer functions do not have an underflow guard for user token balances.
/// - Make sure all variables written to storage are properly cleaned
// (e.g. the bool value for `isApprovedForAll` MUST be either 1 or 0 under the hood).
/// - Check that the overridden function is actually used in the function you want to
/// change the behavior of. Much of the code has been manually inlined for performance.
abstract contract ERC721 {
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* CONSTANTS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev An account can hold up to 4294967295 tokens.
uint256 internal constant _MAX_ACCOUNT_BALANCE = 0xffffffff;
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* CUSTOM ERRORS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Only the token owner or an approved account can manage the token.
error NotOwnerNorApproved();
/// @dev The token does not exist.
error TokenDoesNotExist();
/// @dev The token already exists.
error TokenAlreadyExists();
/// @dev Cannot query the balance for the zero address.
error BalanceQueryForZeroAddress();
/// @dev Cannot mint or transfer to the zero address.
error TransferToZeroAddress();
/// @dev The token must be owned by `from`.
error TransferFromIncorrectOwner();
/// @dev The recipient's balance has overflowed.
error AccountBalanceOverflow();
/// @dev Cannot safely transfer to a contract that does not implement
/// the ERC721Receiver interface.
error TransferToNonERC721ReceiverImplementer();
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* 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;
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* STORAGE */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev The ownership data slot of `id` is given by:
/// ```
/// mstore(0x00, id)
/// mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
/// let ownershipSlot := add(id, add(id, keccak256(0x00, 0x20)))
/// ```
/// Bits Layout:
/// - [0..159] `addr`
/// - [160..255] `extraData`
///
/// The approved address slot is given by: `add(1, ownershipSlot)`.
///
/// See: https://notes.ethereum.org/%40vbuterin/verkle_tree_eip
///
/// The balance slot of `owner` is given by:
/// ```
/// mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
/// mstore(0x00, owner)
/// let balanceSlot := keccak256(0x0c, 0x1c)
/// ```
/// Bits Layout:
/// - [0..31] `balance`
/// - [32..255] `aux`
///
/// The `operator` approval slot of `owner` is given by:
/// ```
/// mstore(0x1c, or(_ERC721_MASTER_SLOT_SEED, operator))
/// mstore(0x00, owner)
/// let operatorApprovalSlot := keccak256(0x0c, 0x30)
/// ```
uint256 private constant _ERC721_MASTER_SLOT_SEED = 0x7d8825530a5a2e7a << 192;
/// @dev Pre-shifted and pre-masked constant.
uint256 private constant _ERC721_MASTER_SLOT_SEED_MASKED = 0x0a5a2e7a00000000;
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* ERC721 METADATA */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Returns the token collection name.
function name() public view virtual returns (string memory);
/// @dev Returns the token collection symbol.
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);
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* ERC721 */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Returns the owner of token `id`.
///
/// Requirements:
/// - Token `id` must exist.
function ownerOf(uint256 id) public view virtual returns (address result) {
result = _ownerOf(id);
/// @solidity memory-safe-assembly
assembly {
if iszero(result) {
mstore(0x00, 0xceea21b6) // `TokenDoesNotExist()`.
revert(0x1c, 0x04)
}
}
}
/// @dev Returns the number of tokens owned by `owner`.
///
/// Requirements:
/// - `owner` must not be the zero address.
function balanceOf(address owner) public view virtual returns (uint256 result) {
/// @solidity memory-safe-assembly
assembly {
// Revert if the `owner` is the zero address.
if iszero(owner) {
mstore(0x00, 0x8f4eb604) // `BalanceQueryForZeroAddress()`.
revert(0x1c, 0x04)
}
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
mstore(0x00, owner)
result := and(sload(keccak256(0x0c, 0x1c)), _MAX_ACCOUNT_BALANCE)
}
}
/// @dev Returns the account approved to manage token `id`.
///
/// Requirements:
/// - Token `id` must exist.
function getApproved(uint256 id) public view virtual returns (address result) {
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, id)
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
let ownershipSlot := add(id, add(id, keccak256(0x00, 0x20)))
if iszero(shl(96, sload(ownershipSlot))) {
mstore(0x00, 0xceea21b6) // `TokenDoesNotExist()`.
revert(0x1c, 0x04)
}
result := sload(add(1, ownershipSlot))
}
}
/// @dev Sets `account` as the approved account to manage token `id`.
///
/// 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 account, uint256 id) public payable virtual {
_approve(msg.sender, account, id);
}
/// @dev Returns whether `operator` is approved to manage the tokens of `owner`.
function isApprovedForAll(address owner, address operator)
public
view
virtual
returns (bool result)
{
/// @solidity memory-safe-assembly
assembly {
mstore(0x1c, operator)
mstore(0x08, _ERC721_MASTER_SLOT_SEED_MASKED)
mstore(0x00, owner)
result := sload(keccak256(0x0c, 0x30))
}
}
/// @dev Sets whether `operator` is approved to manage the tokens of the caller.
///
/// Emits an {ApprovalForAll} event.
function setApprovalForAll(address operator, bool isApproved) public virtual {
/// @solidity memory-safe-assembly
assembly {
// Convert to 0 or 1.
isApproved := iszero(iszero(isApproved))
// Update the `isApproved` for (`msg.sender`, `operator`).
mstore(0x1c, operator)
mstore(0x08, _ERC721_MASTER_SLOT_SEED_MASKED)
mstore(0x00, caller())
sstore(keccak256(0x0c, 0x30), isApproved)
// Emit the {ApprovalForAll} event.
mstore(0x00, isApproved)
// forgefmt: disable-next-item
log3(0x00, 0x20, _APPROVAL_FOR_ALL_EVENT_SIGNATURE, caller(), shr(96, shl(96, operator)))
}
}
/// @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 payable virtual {
_beforeTokenTransfer(from, to, id);
/// @solidity memory-safe-assembly
assembly {
// Clear the upper 96 bits.
let bitmaskAddress := shr(96, not(0))
from := and(bitmaskAddress, from)
to := and(bitmaskAddress, to)
// Load the ownership data.
mstore(0x00, id)
mstore(0x1c, or(_ERC721_MASTER_SLOT_SEED, caller()))
let ownershipSlot := add(id, add(id, keccak256(0x00, 0x20)))
let ownershipPacked := sload(ownershipSlot)
let owner := and(bitmaskAddress, ownershipPacked)
// Revert if `from` is not the owner, or does not exist.
if iszero(mul(owner, eq(owner, from))) {
if iszero(owner) {
mstore(0x00, 0xceea21b6) // `TokenDoesNotExist()`.
revert(0x1c, 0x04)
}
mstore(0x00, 0xa1148100) // `TransferFromIncorrectOwner()`.
revert(0x1c, 0x04)
}
// Revert if `to` is the zero address.
if iszero(to) {
mstore(0x00, 0xea553b34) // `TransferToZeroAddress()`.
revert(0x1c, 0x04)
}
// Load, check, and update the token approval.
{
mstore(0x00, from)
let approvedAddress := sload(add(1, ownershipSlot))
// Revert if the caller is not the owner, nor approved.
if iszero(or(eq(caller(), from), eq(caller(), approvedAddress))) {
if iszero(sload(keccak256(0x0c, 0x30))) {
mstore(0x00, 0x4b6e7f18) // `NotOwnerNorApproved()`.
revert(0x1c, 0x04)
}
}
// Delete the approved address if any.
if approvedAddress { sstore(add(1, ownershipSlot), 0) }
}
// Update with the new owner.
sstore(ownershipSlot, xor(ownershipPacked, xor(from, to)))
// Decrement the balance of `from`.
{
let fromBalanceSlot := keccak256(0x0c, 0x1c)
sstore(fromBalanceSlot, sub(sload(fromBalanceSlot), 1))
}
// Increment the balance of `to`.
{
mstore(0x00, to)
let toBalanceSlot := keccak256(0x0c, 0x1c)
let toBalanceSlotPacked := add(sload(toBalanceSlot), 1)
if iszero(and(toBalanceSlotPacked, _MAX_ACCOUNT_BALANCE)) {
mstore(0x00, 0x01336cea) // `AccountBalanceOverflow()`.
revert(0x1c, 0x04)
}
sstore(toBalanceSlot, toBalanceSlotPacked)
}
// Emit the {Transfer} event.
log4(codesize(), 0x00, _TRANSFER_EVENT_SIGNATURE, from, to, id)
}
_afterTokenTransfer(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
payable
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))
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* INTERNAL QUERY FUNCTIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Returns if token `id` exists.
function _exists(uint256 id) internal view virtual returns (bool result) {
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, id)
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
result := iszero(iszero(shl(96, sload(add(id, add(id, keccak256(0x00, 0x20)))))))
}
}
/// @dev Returns the owner of token `id`.
/// Returns the zero address instead of reverting if the token does not exist.
function _ownerOf(uint256 id) internal view virtual returns (address result) {
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, id)
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
result := shr(96, shl(96, sload(add(id, add(id, keccak256(0x00, 0x20))))))
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* INTERNAL DATA HITCHHIKING FUNCTIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
// For performance, no events are emitted for the hitchhiking setters.
// Please emit your own events if required.
/// @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 (uint224 result) {
/// @solidity memory-safe-assembly
assembly {
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
mstore(0x00, owner)
result := shr(32, sload(keccak256(0x0c, 0x1c)))
}
}
/// @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, uint224 value) internal virtual {
/// @solidity memory-safe-assembly
assembly {
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
mstore(0x00, owner)
let balanceSlot := keccak256(0x0c, 0x1c)
let packed := sload(balanceSlot)
sstore(balanceSlot, xor(packed, shl(32, xor(value, shr(32, packed)))))
}
}
/// @dev Returns the extra data for token `id`.
/// Minting, transferring, burning a token will not change the extra data.
/// The extra data can be set on a non-existent token.
function _getExtraData(uint256 id) internal view virtual returns (uint96 result) {
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, id)
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
result := shr(160, sload(add(id, add(id, keccak256(0x00, 0x20)))))
}
}
/// @dev Sets the extra data for token `id` to `value`.
/// Minting, transferring, burning a token will not change the extra data.
/// The extra data can be set on a non-existent token.
function _setExtraData(uint256 id, uint96 value) internal virtual {
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, id)
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
let ownershipSlot := add(id, add(id, keccak256(0x00, 0x20)))
let packed := sload(ownershipSlot)
sstore(ownershipSlot, xor(packed, shl(160, xor(value, shr(160, packed)))))
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* INTERNAL MINT FUNCTIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Mints token `id` to `to`.
///
/// Requirements:
///
/// - Token `id` must not exist.
/// - `to` cannot be the zero address.
///
/// Emits a {Transfer} event.
function _mint(address to, uint256 id) internal virtual {
_beforeTokenTransfer(address(0), to, id);
/// @solidity memory-safe-assembly
assembly {
// Clear the upper 96 bits.
to := shr(96, shl(96, to))
// Revert if `to` is the zero address.
if iszero(to) {
mstore(0x00, 0xea553b34) // `TransferToZeroAddress()`.
revert(0x1c, 0x04)
}
// Load the ownership data.
mstore(0x00, id)
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
let ownershipSlot := add(id, add(id, keccak256(0x00, 0x20)))
let ownershipPacked := sload(ownershipSlot)
// Revert if the token already exists.
if shl(96, ownershipPacked) {
mstore(0x00, 0xc991cbb1) // `TokenAlreadyExists()`.
revert(0x1c, 0x04)
}
// Update with the owner.
sstore(ownershipSlot, or(ownershipPacked, to))
// Increment the balance of the owner.
{
mstore(0x00, to)
let balanceSlot := keccak256(0x0c, 0x1c)
let balanceSlotPacked := add(sload(balanceSlot), 1)
if iszero(and(balanceSlotPacked, _MAX_ACCOUNT_BALANCE)) {
mstore(0x00, 0x01336cea) // `AccountBalanceOverflow()`.
revert(0x1c, 0x04)
}
sstore(balanceSlot, balanceSlotPacked)
}
// Emit the {Transfer} event.
log4(codesize(), 0x00, _TRANSFER_EVENT_SIGNATURE, 0, to, id)
}
_afterTokenTransfer(address(0), to, id);
}
/// @dev Equivalent to `_safeMint(to, id, "")`.
function _safeMint(address to, uint256 id) internal virtual {
_safeMint(to, id, "");
}
/// @dev Mints token `id` to `to`.
///
/// Requirements:
///
/// - Token `id` must not exist.
/// - `to` cannot be the zero address.
/// - If `to` refers to a smart contract, it must implement
/// {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
///
/// Emits a {Transfer} event.
function _safeMint(address to, uint256 id, bytes memory data) internal virtual {
_mint(to, id);
if (_hasCode(to)) _checkOnERC721Received(address(0), to, id, data);
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* INTERNAL BURN FUNCTIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Equivalent to `_burn(address(0), id)`.
function _burn(uint256 id) internal virtual {
_burn(address(0), id);
}
/// @dev Destroys token `id`, using `by`.
///
/// Requirements:
///
/// - Token `id` must exist.
/// - If `by` is not the zero address,
/// it must be the owner of the token, or be approved to manage the token.
///
/// Emits a {Transfer} event.
function _burn(address by, uint256 id) internal virtual {
address owner = ownerOf(id);
_beforeTokenTransfer(owner, address(0), id);
/// @solidity memory-safe-assembly
assembly {
// Clear the upper 96 bits.
by := shr(96, shl(96, by))
// Load the ownership data.
mstore(0x00, id)
mstore(0x1c, or(_ERC721_MASTER_SLOT_SEED, by))
let ownershipSlot := add(id, add(id, keccak256(0x00, 0x20)))
let ownershipPacked := sload(ownershipSlot)
// Reload the owner in case it is changed in `_beforeTokenTransfer`.
owner := shr(96, shl(96, ownershipPacked))
// Revert if the token does not exist.
if iszero(owner) {
mstore(0x00, 0xceea21b6) // `TokenDoesNotExist()`.
revert(0x1c, 0x04)
}
// Load and check the token approval.
{
mstore(0x00, owner)
let approvedAddress := sload(add(1, ownershipSlot))
// If `by` is not the zero address, do the authorization check.
// Revert if the `by` is not the owner, nor approved.
if iszero(or(iszero(by), or(eq(by, owner), eq(by, approvedAddress)))) {
if iszero(sload(keccak256(0x0c, 0x30))) {
mstore(0x00, 0x4b6e7f18) // `NotOwnerNorApproved()`.
revert(0x1c, 0x04)
}
}
// Delete the approved address if any.
if approvedAddress { sstore(add(1, ownershipSlot), 0) }
}
// Clear the owner.
sstore(ownershipSlot, xor(ownershipPacked, owner))
// Decrement the balance of `owner`.
{
let balanceSlot := keccak256(0x0c, 0x1c)
sstore(balanceSlot, sub(sload(balanceSlot), 1))
}
// Emit the {Transfer} event.
log4(codesize(), 0x00, _TRANSFER_EVENT_SIGNATURE, owner, 0, id)
}
_afterTokenTransfer(owner, address(0), id);
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* INTERNAL APPROVAL FUNCTIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Returns whether `account` is the owner of token `id`, or is approved to manage it.
///
/// Requirements:
/// - Token `id` must exist.
function _isApprovedOrOwner(address account, uint256 id)
internal
view
virtual
returns (bool result)
{
/// @solidity memory-safe-assembly
assembly {
result := 1
// Clear the upper 96 bits.
account := shr(96, shl(96, account))
// Load the ownership data.
mstore(0x00, id)
mstore(0x1c, or(_ERC721_MASTER_SLOT_SEED, account))
let ownershipSlot := add(id, add(id, keccak256(0x00, 0x20)))
let owner := shr(96, shl(96, sload(ownershipSlot)))
// Revert if the token does not exist.
if iszero(owner) {
mstore(0x00, 0xceea21b6) // `TokenDoesNotExist()`.
revert(0x1c, 0x04)
}
// Check if `account` is the `owner`.
if iszero(eq(account, owner)) {
mstore(0x00, owner)
// Check if `account` is approved to manage the token.
if iszero(sload(keccak256(0x0c, 0x30))) {
result := eq(account, sload(add(1, ownershipSlot)))
}
}
}
}
/// @dev Returns the account approved to manage token `id`.
/// Returns the zero address instead of reverting if the token does not exist.
function _getApproved(uint256 id) internal view virtual returns (address result) {
/// @solidity memory-safe-assembly
assembly {
mstore(0x00, id)
mstore(0x1c, _ERC721_MASTER_SLOT_SEED)
result := sload(add(1, add(id, add(id, keccak256(0x00, 0x20)))))
}
}
/// @dev Equivalent to `_approve(address(0), account, id)`.
function _approve(address account, uint256 id) internal virtual {
_approve(address(0), account, id);
}
/// @dev Sets `account` as the approved account to manage token `id`, using `by`.
///
/// Requirements:
/// - Token `id` must exist.
/// - If `by` is not the zero address, `by` must be the owner
/// or an approved operator for the token owner.
///
/// Emits a {Transfer} event.
function _approve(address by, address account, uint256 id) internal virtual {
assembly {
// Clear the upper 96 bits.
let bitmaskAddress := shr(96, not(0))
account := and(bitmaskAddress, account)
by := and(bitmaskAddress, by)
// Load the owner of the token.
mstore(0x00, id)
mstore(0x1c, or(_ERC721_MASTER_SLOT_SEED, by))
let ownershipSlot := add(id, add(id, keccak256(0x00, 0x20)))
let owner := and(bitmaskAddress, sload(ownershipSlot))
// Revert if the token does not exist.
if iszero(owner) {
mstore(0x00, 0xceea21b6) // `TokenDoesNotExist()`.
revert(0x1c, 0x04)
}
// If `by` is not the zero address, do the authorization check.
// Revert if `by` is not the owner, nor approved.
if iszero(or(iszero(by), eq(by, owner))) {
mstore(0x00, owner)
if iszero(sload(keccak256(0x0c, 0x30))) {
mstore(0x00, 0x4b6e7f18) // `NotOwnerNorApproved()`.
revert(0x1c, 0x04)
}
}
// Sets `account` as the approved account to manage `id`.
sstore(add(1, ownershipSlot), account)
// Emit the {Approval} event.
log4(codesize(), 0x00, _APPROVAL_EVENT_SIGNATURE, owner, account, id)
}
}
/// @dev Approve or remove the `operator` as an operator for `by`,
/// without authorization checks.
///
/// Emits an {ApprovalForAll} event.
function _setApprovalForAll(address by, address operator, bool isApproved) internal virtual {
/// @solidity memory-safe-assembly
assembly {
// Clear the upper 96 bits.
by := shr(96, shl(96, by))
operator := shr(96, shl(96, operator))
// Convert to 0 or 1.
isApproved := iszero(iszero(isApproved))
// Update the `isApproved` for (`by`, `operator`).
mstore(0x1c, or(_ERC721_MASTER_SLOT_SEED, operator))
mstore(0x00, by)
sstore(keccak256(0x0c, 0x30), isApproved)
// Emit the {ApprovalForAll} event.
mstore(0x00, isApproved)
log3(0x00, 0x20, _APPROVAL_FOR_ALL_EVENT_SIGNATURE, by, operator)
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* INTERNAL TRANSFER FUNCTIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Equivalent to `_transfer(address(0), from, to, id)`.
function _transfer(address from, address to, uint256 id) internal virtual {
_transfer(address(0), 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.
/// - If `by` is not the zero address,
/// it must be the owner of the token, or be approved to manage the token.
///
/// Emits a {Transfer} event.
function _transfer(address by, address from, address to, uint256 id) internal virtual {
_beforeTokenTransfer(from, to, id);
/// @solidity memory-safe-assembly
assembly {
// Clear the upper 96 bits.
let bitmaskAddress := shr(96, not(0))
from := and(bitmaskAddress, from)
to := and(bitmaskAddress, to)
by := and(bitmaskAddress, by)
// Load the ownership data.
mstore(0x00, id)
mstore(0x1c, or(_ERC721_MASTER_SLOT_SEED, by))
let ownershipSlot := add(id, add(id, keccak256(0x00, 0x20)))
let ownershipPacked := sload(ownershipSlot)
let owner := and(bitmaskAddress, ownershipPacked)
// Revert if `from` is not the owner, or does not exist.
if iszero(mul(owner, eq(owner, from))) {
if iszero(owner) {
mstore(0x00, 0xceea21b6) // `TokenDoesNotExist()`.
revert(0x1c, 0x04)
}
mstore(0x00, 0xa1148100) // `TransferFromIncorrectOwner()`.
revert(0x1c, 0x04)
}
// Revert if `to` is the zero address.
if iszero(to) {
mstore(0x00, 0xea553b34) // `TransferToZeroAddress()`.
revert(0x1c, 0x04)
}
// Load, check, and update the token approval.
{
mstore(0x00, from)
let approvedAddress := sload(add(1, ownershipSlot))
// If `by` is not the zero address, do the authorization check.
// Revert if the `by` is not the owner, nor approved.
if iszero(or(iszero(by), or(eq(by, from), eq(by, approvedAddress)))) {
if iszero(sload(keccak256(0x0c, 0x30))) {
mstore(0x00, 0x4b6e7f18) // `NotOwnerNorApproved()`.
revert(0x1c, 0x04)
}
}
// Delete the approved address if any.
if approvedAddress { sstore(add(1, ownershipSlot), 0) }
}
// Update with the new owner.
sstore(ownershipSlot, xor(ownershipPacked, xor(from, to)))
// Decrement the balance of `from`.
{
let fromBalanceSlot := keccak256(0x0c, 0x1c)
sstore(fromBalanceSlot, sub(sload(fromBalanceSlot), 1))
}
// Increment the balance of `to`.
{
mstore(0x00, to)
let toBalanceSlot := keccak256(0x0c, 0x1c)
let toBalanceSlotPacked := add(sload(toBalanceSlot), 1)
if iszero(and(toBalanceSlotPacked, _MAX_ACCOUNT_BALANCE)) {
mstore(0x00, 0x01336cea) // `AccountBalanceOverflow()`.
revert(0x1c, 0x04)
}
sstore(toBalanceSlot, toBalanceSlotPacked)
}
// Emit the {Transfer} event.
log4(codesize(), 0x00, _TRANSFER_EVENT_SIGNATURE, from, to, id)
}
_afterTokenTransfer(from, to, id);
}
/// @dev Equivalent to `_safeTransfer(from, to, id, "")`.
function _safeTransfer(address from, address to, uint256 id) internal virtual {
_safeTransfer(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 _safeTransfer(address from, address to, uint256 id, bytes memory data)
internal
virtual
{
_transfer(address(0), from, to, id);
if (_hasCode(to)) _checkOnERC721Received(from, to, id, data);
}
/// @dev Equivalent to `_safeTransfer(by, from, to, id, "")`.
function _safeTransfer(address by, address from, address to, uint256 id) internal virtual {
_safeTransfer(by, 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.
/// - If `by` is not the zero address,
/// it 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 _safeTransfer(address by, address from, address to, uint256 id, bytes memory data)
internal
virtual
{
_transfer(by, from, to, id);
if (_hasCode(to)) _checkOnERC721Received(from, to, id, data);
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* HOOKS FOR OVERRIDING */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Hook that is called before any token transfers, including minting and burning.
function _beforeTokenTransfer(address from, address to, uint256 id) internal virtual {}
/// @dev Hook that is called after any token transfers, including minting and burning.
function _afterTokenTransfer(address from, address to, uint256 id) internal virtual {}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* PRIVATE HELPERS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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)
}
}
}
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;
/// @notice Library for bit twiddling and boolean operations.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibBit.sol)
/// @author Inspired by (https://graphics.stanford.edu/~seander/bithacks.html)
library LibBit {
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* BIT TWIDDLING OPERATIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Find last set.
/// Returns the index of the most significant bit of `x`,
/// counting from the least significant bit position.
/// If `x` is zero, returns 256.
function fls(uint256 x) internal pure returns (uint256 r) {
/// @solidity memory-safe-assembly
assembly {
r := or(shl(8, iszero(x)), 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 Count leading zeros.
/// Returns the number of zeros preceding the most significant one bit.
/// If `x` is zero, returns 256.
function clz(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 := add(xor(r, byte(and(0x1f, shr(shr(r, x), 0x8421084210842108cc6318c6db6d54be)),
0xf8f9f9faf9fdfafbf9fdfcfdfafbfcfef9fafdfafcfcfbfefafafcfbffffffff)), iszero(x))
}
}
/// @dev Find first set.
/// Returns the index of the least significant bit of `x`,
/// counting from the least significant bit position.
/// If `x` is zero, returns 256.
/// Equivalent to `ctz` (count trailing zeros), which gives
/// the number of zeros following the least significant one bit.
function ffs(uint256 x) internal pure returns (uint256 r) {
/// @solidity memory-safe-assembly
assembly {
// Isolate the least significant bit.
let b := and(x, add(not(x), 1))
r := or(shl(8, iszero(x)), shl(7, lt(0xffffffffffffffffffffffffffffffff, b)))
r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, b))))
r := or(r, shl(5, lt(0xffffffff, shr(r, b))))
// For the remaining 32 bits, use a De Bruijn lookup.
// forgefmt: disable-next-item
r := or(r, byte(and(div(0xd76453e0, shr(r, b)), 0x1f),
0x001f0d1e100c1d070f090b19131c1706010e11080a1a141802121b1503160405))
}
}
/// @dev Returns the number of set bits in `x`.
function popCount(uint256 x) internal pure returns (uint256 c) {
/// @solidity memory-safe-assembly
assembly {
let max := not(0)
let isMax := eq(x, max)
x := sub(x, and(shr(1, x), div(max, 3)))
x := add(and(x, div(max, 5)), and(shr(2, x), div(max, 5)))
x := and(add(x, shr(4, x)), div(max, 17))
c := or(shl(8, isMax), shr(248, mul(x, div(max, 255))))
}
}
/// @dev Returns whether `x` is a power of 2.
function isPo2(uint256 x) internal pure returns (bool result) {
/// @solidity memory-safe-assembly
assembly {
// Equivalent to `x && !(x & (x - 1))`.
result := iszero(add(and(x, sub(x, 1)), iszero(x)))
}
}
/// @dev Returns `x` reversed at the bit level.
function reverseBits(uint256 x) internal pure returns (uint256 r) {
uint256 m0 = 0x0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f;
uint256 m1 = m0 ^ (m0 << 2);
uint256 m2 = m1 ^ (m1 << 1);
r = reverseBytes(x);
r = (m2 & (r >> 1)) | ((m2 & r) << 1);
r = (m1 & (r >> 2)) | ((m1 & r) << 2);
r = (m0 & (r >> 4)) | ((m0 & r) << 4);
}
/// @dev Returns `x` reversed at the byte level.
function reverseBytes(uint256 x) internal pure returns (uint256 r) {
unchecked {
// Computing masks on-the-fly reduces bytecode size by about 200 bytes.
uint256 m0 = 0x100000000000000000000000000000001 * (~toUint(x == 0) >> 192);
uint256 m1 = m0 ^ (m0 << 32);
uint256 m2 = m1 ^ (m1 << 16);
uint256 m3 = m2 ^ (m2 << 8);
r = (m3 & (x >> 8)) | ((m3 & x) << 8);
r = (m2 & (r >> 16)) | ((m2 & r) << 16);
r = (m1 & (r >> 32)) | ((m1 & r) << 32);
r = (m0 & (r >> 64)) | ((m0 & r) << 64);
r = (r >> 128) | (r << 128);
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* BOOLEAN OPERATIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
// A Solidity bool on the stack or memory is represented as a 256-bit word.
// Non-zero values are true, zero is false.
// A clean bool is either 0 (false) or 1 (true) under the hood.
// Usually, if not always, the bool result of a regular Solidity expression,
// or the argument of a public/external function will be a clean bool.
// You can usually use the raw variants for more performance.
// If uncertain, test (best with exact compiler settings).
// Or use the non-raw variants (compiler can sometimes optimize out the double `iszero`s).
/// @dev Returns `x & y`. Inputs must be clean.
function rawAnd(bool x, bool y) internal pure returns (bool z) {
/// @solidity memory-safe-assembly
assembly {
z := and(x, y)
}
}
/// @dev Returns `x & y`.
function and(bool x, bool y) internal pure returns (bool z) {
/// @solidity memory-safe-assembly
assembly {
z := and(iszero(iszero(x)), iszero(iszero(y)))
}
}
/// @dev Returns `x | y`. Inputs must be clean.
function rawOr(bool x, bool y) internal pure returns (bool z) {
/// @solidity memory-safe-assembly
assembly {
z := or(x, y)
}
}
/// @dev Returns `x | y`.
function or(bool x, bool y) internal pure returns (bool z) {
/// @solidity memory-safe-assembly
assembly {
z := or(iszero(iszero(x)), iszero(iszero(y)))
}
}
/// @dev Returns 1 if `b` is true, else 0. Input must be clean.
function rawToUint(bool b) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := b
}
}
/// @dev Returns 1 if `b` is true, else 0.
function toUint(bool b) internal pure returns (uint256 z) {
/// @solidity memory-safe-assembly
assembly {
z := iszero(iszero(b))
}
}
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;
import {LibBit} from "./LibBit.sol";
/// @notice Library for storage of packed unsigned booleans.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/LibBitmap.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/LibBitmap.sol)
/// @author Modified from Solidity-Bits (https://github.com/estarriolvetch/solidity-bits/blob/main/contracts/BitMaps.sol)
library LibBitmap {
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* CONSTANTS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev The constant returned when a bitmap scan does not find a result.
uint256 internal constant NOT_FOUND = type(uint256).max;
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* STRUCTS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev A bitmap in storage.
struct Bitmap {
mapping(uint256 => uint256) map;
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* OPERATIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Returns the boolean value of the bit at `index` in `bitmap`.
function get(Bitmap storage bitmap, uint256 index) internal view returns (bool isSet) {
// It is better to set `isSet` to either 0 or 1, than zero vs non-zero.
// Both cost the same amount of gas, but the former allows the returned value
// to be reused without cleaning the upper bits.
uint256 b = (bitmap.map[index >> 8] >> (index & 0xff)) & 1;
/// @solidity memory-safe-assembly
assembly {
isSet := b
}
}
/// @dev Updates the bit at `index` in `bitmap` to true.
function set(Bitmap storage bitmap, uint256 index) internal {
bitmap.map[index >> 8] |= (1 << (index & 0xff));
}
/// @dev Updates the bit at `index` in `bitmap` to false.
function unset(Bitmap storage bitmap, uint256 index) internal {
bitmap.map[index >> 8] &= ~(1 << (index & 0xff));
}
/// @dev Flips the bit at `index` in `bitmap`.
/// Returns the boolean result of the flipped bit.
function toggle(Bitmap storage bitmap, uint256 index) internal returns (bool newIsSet) {
/// @solidity memory-safe-assembly
assembly {
mstore(0x20, bitmap.slot)
mstore(0x00, shr(8, index))
let storageSlot := keccak256(0x00, 0x40)
let shift := and(index, 0xff)
let storageValue := xor(sload(storageSlot), shl(shift, 1))
// It makes sense to return the `newIsSet`,
// as it allow us to skip an additional warm `sload`,
// and it costs minimal gas (about 15),
// which may be optimized away if the returned value is unused.
newIsSet := and(1, shr(shift, storageValue))
sstore(storageSlot, storageValue)
}
}
/// @dev Updates the bit at `index` in `bitmap` to `shouldSet`.
function setTo(Bitmap storage bitmap, uint256 index, bool shouldSet) internal {
/// @solidity memory-safe-assembly
assembly {
mstore(0x20, bitmap.slot)
mstore(0x00, shr(8, index))
let storageSlot := keccak256(0x00, 0x40)
let storageValue := sload(storageSlot)
let shift := and(index, 0xff)
sstore(
storageSlot,
// Unsets the bit at `shift` via `and`, then sets its new value via `or`.
or(and(storageValue, not(shl(shift, 1))), shl(shift, iszero(iszero(shouldSet))))
)
}
}
/// @dev Consecutively sets `amount` of bits starting from the bit at `start`.
function setBatch(Bitmap storage bitmap, uint256 start, uint256 amount) internal {
/// @solidity memory-safe-assembly
assembly {
let max := not(0)
let shift := and(start, 0xff)
mstore(0x20, bitmap.slot)
mstore(0x00, shr(8, start))
if iszero(lt(add(shift, amount), 257)) {
let storageSlot := keccak256(0x00, 0x40)
sstore(storageSlot, or(sload(storageSlot), shl(shift, max)))
let bucket := add(mload(0x00), 1)
let bucketEnd := add(mload(0x00), shr(8, add(amount, shift)))
amount := and(add(amount, shift), 0xff)
shift := 0
for {} iszero(eq(bucket, bucketEnd)) { bucket := add(bucket, 1) } {
mstore(0x00, bucket)
sstore(keccak256(0x00, 0x40), max)
}
mstore(0x00, bucket)
}
let storageSlot := keccak256(0x00, 0x40)
sstore(storageSlot, or(sload(storageSlot), shl(shift, shr(sub(256, amount), max))))
}
}
/// @dev Consecutively unsets `amount` of bits starting from the bit at `start`.
function unsetBatch(Bitmap storage bitmap, uint256 start, uint256 amount) internal {
/// @solidity memory-safe-assembly
assembly {
let shift := and(start, 0xff)
mstore(0x20, bitmap.slot)
mstore(0x00, shr(8, start))
if iszero(lt(add(shift, amount), 257)) {
let storageSlot := keccak256(0x00, 0x40)
sstore(storageSlot, and(sload(storageSlot), not(shl(shift, not(0)))))
let bucket := add(mload(0x00), 1)
let bucketEnd := add(mload(0x00), shr(8, add(amount, shift)))
amount := and(add(amount, shift), 0xff)
shift := 0
for {} iszero(eq(bucket, bucketEnd)) { bucket := add(bucket, 1) } {
mstore(0x00, bucket)
sstore(keccak256(0x00, 0x40), 0)
}
mstore(0x00, bucket)
}
let storageSlot := keccak256(0x00, 0x40)
sstore(
storageSlot, and(sload(storageSlot), not(shl(shift, shr(sub(256, amount), not(0)))))
)
}
}
/// @dev Returns number of set bits within a range by
/// scanning `amount` of bits starting from the bit at `start`.
function popCount(Bitmap storage bitmap, uint256 start, uint256 amount)
internal
view
returns (uint256 count)
{
unchecked {
uint256 bucket = start >> 8;
uint256 shift = start & 0xff;
if (!(amount + shift < 257)) {
count = LibBit.popCount(bitmap.map[bucket] >> shift);
uint256 bucketEnd = bucket + ((amount + shift) >> 8);
amount = (amount + shift) & 0xff;
shift = 0;
for (++bucket; bucket != bucketEnd; ++bucket) {
count += LibBit.popCount(bitmap.map[bucket]);
}
}
count += LibBit.popCount((bitmap.map[bucket] >> shift) << (256 - amount));
}
}
/// @dev Returns the index of the most significant set bit before the bit at `before`.
/// If no set bit is found, returns `NOT_FOUND`.
function findLastSet(Bitmap storage bitmap, uint256 before)
internal
view
returns (uint256 setBitIndex)
{
uint256 bucket;
uint256 bucketBits;
/// @solidity memory-safe-assembly
assembly {
setBitIndex := not(0)
bucket := shr(8, before)
mstore(0x00, bucket)
mstore(0x20, bitmap.slot)
let offset := and(0xff, not(before)) // `256 - (255 & before) - 1`.
bucketBits := shr(offset, shl(offset, sload(keccak256(0x00, 0x40))))
if iszero(or(bucketBits, iszero(bucket))) {
for {} 1 {} {
bucket := add(bucket, setBitIndex) // `sub(bucket, 1)`.
mstore(0x00, bucket)
bucketBits := sload(keccak256(0x00, 0x40))
if or(bucketBits, iszero(bucket)) { break }
}
}
}
if (bucketBits != 0) {
setBitIndex = (bucket << 8) | LibBit.fls(bucketBits);
/// @solidity memory-safe-assembly
assembly {
setBitIndex := or(setBitIndex, sub(0, gt(setBitIndex, before)))
}
}
}
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;
/// @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)
///
/// 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 {
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* CUSTOM ERRORS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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();
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* CONSTANTS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev The constant returned when the `search` is not found in the string.
uint256 internal constant NOT_FOUND = type(uint256).max;
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* DECIMAL OPERATIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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.
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* HEXADECIMAL OPERATIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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.
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* RUNE STRING OPERATIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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)
}
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* BYTE STRING OPERATIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
// 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)
}
}
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;
/// @notice Gas optimized verification of proof of inclusion for a leaf in a Merkle tree.
/// @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/MerkleProofLib.sol)
/// @author Modified from Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/MerkleProofLib.sol)
/// @author Modified from OpenZeppelin (https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/cryptography/MerkleProof.sol)
library MerkleProofLib {
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* MERKLE PROOF VERIFICATION OPERATIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Returns whether `leaf` exists in the Merkle tree with `root`, given `proof`.
function verify(bytes32[] memory proof, bytes32 root, bytes32 leaf)
internal
pure
returns (bool isValid)
{
/// @solidity memory-safe-assembly
assembly {
if mload(proof) {
// Initialize `offset` to the offset of `proof` elements in memory.
let offset := add(proof, 0x20)
// Left shift by 5 is equivalent to multiplying by 0x20.
let end := add(offset, shl(5, mload(proof)))
// Iterate over proof elements to compute root hash.
for {} 1 {} {
// Slot of `leaf` in scratch space.
// If the condition is true: 0x20, otherwise: 0x00.
let scratch := shl(5, gt(leaf, mload(offset)))
// Store elements to hash contiguously in scratch space.
// Scratch space is 64 bytes (0x00 - 0x3f) and both elements are 32 bytes.
mstore(scratch, leaf)
mstore(xor(scratch, 0x20), mload(offset))
// Reuse `leaf` to store the hash to reduce stack operations.
leaf := keccak256(0x00, 0x40)
offset := add(offset, 0x20)
if iszero(lt(offset, end)) { break }
}
}
isValid := eq(leaf, root)
}
}
/// @dev Returns whether `leaf` exists in the Merkle tree with `root`, given `proof`.
function verifyCalldata(bytes32[] calldata proof, bytes32 root, bytes32 leaf)
internal
pure
returns (bool isValid)
{
/// @solidity memory-safe-assembly
assembly {
if proof.length {
// Left shift by 5 is equivalent to multiplying by 0x20.
let end := add(proof.offset, shl(5, proof.length))
// Initialize `offset` to the offset of `proof` in the calldata.
let offset := proof.offset
// Iterate over proof elements to compute root hash.
for {} 1 {} {
// Slot of `leaf` in scratch space.
// If the condition is true: 0x20, otherwise: 0x00.
let scratch := shl(5, gt(leaf, calldataload(offset)))
// Store elements to hash contiguously in scratch space.
// Scratch space is 64 bytes (0x00 - 0x3f) and both elements are 32 bytes.
mstore(scratch, leaf)
mstore(xor(scratch, 0x20), calldataload(offset))
// Reuse `leaf` to store the hash to reduce stack operations.
leaf := keccak256(0x00, 0x40)
offset := add(offset, 0x20)
if iszero(lt(offset, end)) { break }
}
}
isValid := eq(leaf, root)
}
}
/// @dev Returns whether all `leaves` exist in the Merkle tree with `root`,
/// given `proof` and `flags`.
///
/// Note:
/// - Breaking the invariant `flags.length == (leaves.length - 1) + proof.length`
/// will always return false.
/// - The sum of the lengths of `proof` and `leaves` must never overflow.
/// - Any non-zero word in the `flags` array is treated as true.
/// - The memory offset of `proof` must be non-zero
/// (i.e. `proof` is not pointing to the scratch space).
function verifyMultiProof(
bytes32[] memory proof,
bytes32 root,
bytes32[] memory leaves,
bool[] memory flags
) internal pure returns (bool isValid) {
// Rebuilds the root by consuming and producing values on a queue.
// The queue starts with the `leaves` array, and goes into a `hashes` array.
// After the process, the last element on the queue is verified
// to be equal to the `root`.
//
// The `flags` array denotes whether the sibling
// should be popped from the queue (`flag == true`), or
// should be popped from the `proof` (`flag == false`).
/// @solidity memory-safe-assembly
assembly {
// Cache the lengths of the arrays.
let leavesLength := mload(leaves)
let proofLength := mload(proof)
let flagsLength := mload(flags)
// Advance the pointers of the arrays to point to the data.
leaves := add(0x20, leaves)
proof := add(0x20, proof)
flags := add(0x20, flags)
// If the number of flags is correct.
for {} eq(add(leavesLength, proofLength), add(flagsLength, 1)) {} {
// For the case where `proof.length + leaves.length == 1`.
if iszero(flagsLength) {
// `isValid = (proof.length == 1 ? proof[0] : leaves[0]) == root`.
isValid := eq(mload(xor(leaves, mul(xor(proof, leaves), proofLength))), root)
break
}
// The required final proof offset if `flagsLength` is not zero, otherwise zero.
let proofEnd := add(proof, shl(5, proofLength))
// We can use the free memory space for the queue.
// We don't need to allocate, since the queue is temporary.
let hashesFront := mload(0x40)
// Copy the leaves into the hashes.
// Sometimes, a little memory expansion costs less than branching.
// Should cost less, even with a high free memory offset of 0x7d00.
leavesLength := shl(5, leavesLength)
for { let i := 0 } iszero(eq(i, leavesLength)) { i := add(i, 0x20) } {
mstore(add(hashesFront, i), mload(add(leaves, i)))
}
// Compute the back of the hashes.
let hashesBack := add(hashesFront, leavesLength)
// This is the end of the memory for the queue.
// We recycle `flagsLength` to save on stack variables (sometimes save gas).
flagsLength := add(hashesBack, shl(5, flagsLength))
for {} 1 {} {
// Pop from `hashes`.
let a := mload(hashesFront)
// Pop from `hashes`.
let b := mload(add(hashesFront, 0x20))
hashesFront := add(hashesFront, 0x40)
// If the flag is false, load the next proof,
// else, pops from the queue.
if iszero(mload(flags)) {
// Loads the next proof.
b := mload(proof)
proof := add(proof, 0x20)
// Unpop from `hashes`.
hashesFront := sub(hashesFront, 0x20)
}
// Advance to the next flag.
flags := add(flags, 0x20)
// Slot of `a` in scratch space.
// If the condition is true: 0x20, otherwise: 0x00.
let scratch := shl(5, gt(a, b))
// Hash the scratch space and push the result onto the queue.
mstore(scratch, a)
mstore(xor(scratch, 0x20), b)
mstore(hashesBack, keccak256(0x00, 0x40))
hashesBack := add(hashesBack, 0x20)
if iszero(lt(hashesBack, flagsLength)) { break }
}
isValid :=
and(
// Checks if the last value in the queue is same as the root.
eq(mload(sub(hashesBack, 0x20)), root),
// And whether all the proofs are used, if required.
eq(proofEnd, proof)
)
break
}
}
}
/// @dev Returns whether all `leaves` exist in the Merkle tree with `root`,
/// given `proof` and `flags`.
///
/// Note:
/// - Breaking the invariant `flags.length == (leaves.length - 1) + proof.length`
/// will always return false.
/// - Any non-zero word in the `flags` array is treated as true.
/// - The calldata offset of `proof` must be non-zero
/// (i.e. `proof` is from a regular Solidity function with a 4-byte selector).
function verifyMultiProofCalldata(
bytes32[] calldata proof,
bytes32 root,
bytes32[] calldata leaves,
bool[] calldata flags
) internal pure returns (bool isValid) {
// Rebuilds the root by consuming and producing values on a queue.
// The queue starts with the `leaves` array, and goes into a `hashes` array.
// After the process, the last element on the queue is verified
// to be equal to the `root`.
//
// The `flags` array denotes whether the sibling
// should be popped from the queue (`flag == true`), or
// should be popped from the `proof` (`flag == false`).
/// @solidity memory-safe-assembly
assembly {
// If the number of flags is correct.
for {} eq(add(leaves.length, proof.length), add(flags.length, 1)) {} {
// For the case where `proof.length + leaves.length == 1`.
if iszero(flags.length) {
// `isValid = (proof.length == 1 ? proof[0] : leaves[0]) == root`.
// forgefmt: disable-next-item
isValid := eq(
calldataload(
xor(leaves.offset, mul(xor(proof.offset, leaves.offset), proof.length))
),
root
)
break
}
// The required final proof offset if `flagsLength` is not zero, otherwise zero.
let proofEnd := add(proof.offset, shl(5, proof.length))
// We can use the free memory space for the queue.
// We don't need to allocate, since the queue is temporary.
let hashesFront := mload(0x40)
// Copy the leaves into the hashes.
// Sometimes, a little memory expansion costs less than branching.
// Should cost less, even with a high free memory offset of 0x7d00.
calldatacopy(hashesFront, leaves.offset, shl(5, leaves.length))
// Compute the back of the hashes.
let hashesBack := add(hashesFront, shl(5, leaves.length))
// This is the end of the memory for the queue.
// We recycle `flagsLength` to save on stack variables (sometimes save gas).
flags.length := add(hashesBack, shl(5, flags.length))
// We don't need to make a copy of `proof.offset` or `flags.offset`,
// as they are pass-by-value (this trick may not always save gas).
for {} 1 {} {
// Pop from `hashes`.
let a := mload(hashesFront)
// Pop from `hashes`.
let b := mload(add(hashesFront, 0x20))
hashesFront := add(hashesFront, 0x40)
// If the flag is false, load the next proof,
// else, pops from the queue.
if iszero(calldataload(flags.offset)) {
// Loads the next proof.
b := calldataload(proof.offset)
proof.offset := add(proof.offset, 0x20)
// Unpop from `hashes`.
hashesFront := sub(hashesFront, 0x20)
}
// Advance to the next flag offset.
flags.offset := add(flags.offset, 0x20)
// Slot of `a` in scratch space.
// If the condition is true: 0x20, otherwise: 0x00.
let scratch := shl(5, gt(a, b))
// Hash the scratch space and push the result onto the queue.
mstore(scratch, a)
mstore(xor(scratch, 0x20), b)
mstore(hashesBack, keccak256(0x00, 0x40))
hashesBack := add(hashesBack, 0x20)
if iszero(lt(hashesBack, flags.length)) { break }
}
isValid :=
and(
// Checks if the last value in the queue is same as the root.
eq(mload(sub(hashesBack, 0x20)), root),
// And whether all the proofs are used, if required.
eq(proofEnd, proof.offset)
)
break
}
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* EMPTY CALLDATA HELPERS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Returns an empty calldata bytes32 array.
function emptyProof() internal pure returns (bytes32[] calldata proof) {
/// @solidity memory-safe-assembly
assembly {
proof.length := 0
}
}
/// @dev Returns an empty calldata bytes32 array.
function emptyLeaves() internal pure returns (bytes32[] calldata leaves) {
/// @solidity memory-safe-assembly
assembly {
leaves.length := 0
}
}
/// @dev Returns an empty calldata bool array.
function emptyFlags() internal pure returns (bool[] calldata flags) {
/// @solidity memory-safe-assembly
assembly {
flags.length := 0
}
}
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;
/// @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 {
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* CUSTOM ERRORS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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();
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* EVENTS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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;
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* STORAGE */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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;
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* INTERNAL FUNCTIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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;
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* PUBLIC UPDATE FUNCTIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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);
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* PUBLIC READ FUNCTIONS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @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))
}
}
/*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
/* MODIFIERS */
/*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/
/// @dev Marks a function as only callable by the owner.
modifier onlyOwner() virtual {
_checkOwner();
_;
}
}
pragma solidity 0.8.23;
import { ERC721 } from "solady/src/tokens/ERC721.sol";
import { LibString } from "solady/src/utils/LibString.sol";
import { Ownable } from "solady/src/auth/Ownable.sol";
import { MerkleProofLib } from "solady/src/utils/MerkleProofLib.sol";
import { LibBitmap } from "solady/src/utils/LibBitmap.sol";
contract SailCloth is Ownable, ERC721 {
using LibString for string;
using LibString for uint256;
using LibBitmap for LibBitmap.Bitmap;
/*###############################################################
ERRORS
###############################################################*/
error AlreadyClaimed();
error InvalidProof();
error EmptyMerkleRoot();
/*###############################################################
EVENTS
###############################################################*/
event Claimed(address indexed user, bytes32 root, uint256 index, uint256 amount);
/*###############################################################
STORAGE
###############################################################*/
string public baseURI = "https://beratone.io/sailcloth/";
bytes32 internal merkleRootForMint;
LibBitmap.Bitmap internal claims;
uint256 internal mintCount;
/*###############################################################
CONSTRUCTOR
###############################################################*/
constructor() {
_initializeOwner(msg.sender);
}
/*###############################################################
VIEWS
###############################################################*/
function name() public view override returns (string memory) {
return "BeraTone Founder's Sailcloth";
}
function symbol() public view override returns (string memory) {
return "BFS";
}
function tokenURI(uint256 _id) public view override returns (string memory) {
return baseURI.concat(_id.toString());
}
/*###############################################################
OWNER
###############################################################*/
function setBaseURI(string memory _baseURI) public onlyOwner {
baseURI = _baseURI;
}
function setMerkleRootForMint(bytes32 _merkleRootForMint) public onlyOwner {
merkleRootForMint = _merkleRootForMint;
}
/*###############################################################
PUBLIC
###############################################################*/
function mint(address _user, uint256 _index, uint256 _amount, bytes32[] calldata _proof) external {
if (merkleRootForMint == bytes32(0)) revert EmptyMerkleRoot();
if (claims.get(_index)) revert AlreadyClaimed();
bytes32 node = keccak256(abi.encodePacked(_index, _user, _amount));
if (!MerkleProofLib.verify(_proof, merkleRootForMint, node)) revert InvalidProof();
claims.set(_index);
for (uint256 i; i < _amount; i++) {
_mint(_user, mintCount + i);
}
mintCount += _amount;
emit Claimed(_user, merkleRootForMint, _index, _amount);
}
function hasClaimed(uint256 _index) public view returns (bool) {
return claims.get(_index);
}
}
{
"compilationTarget": {
"src/SailCloth.sol": "SailCloth"
},
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