//SPDX-License-Identifier: UNLICENSED
/**
* Enabling a new era of Meme utility with the ERC404A, the most gas-optimized solution of ERC404.
*/
pragma solidity ^0.8.0;
import "../ERC404/ERC404A.sol";
import "@openzeppelin/contracts/utils/Strings.sol";
contract Dibbles404 is ERC404A {
string public baseTokenURI;
constructor(
address _owner
) ERC404A("Dibbles 404", "ERRDB", 18, 10000, _owner) {
balanceOf[_owner] = 10000 * 10 ** 18;
}
function setTokenURI(string memory _tokenURI) public onlyOwner {
baseTokenURI = _tokenURI;
}
function setNameSymbol(
string memory _name,
string memory _symbol
) public onlyOwner {
_setNameSymbol(_name, _symbol);
}
function tokenURI(uint256 id) public view override returns (string memory) {
if (bytes(baseTokenURI).length > 0) {
return string.concat(baseTokenURI, Strings.toString(id), ".json");
}
return "https://bafybeih4yfcubczmulmjdbsunc32n34ep5rs37ejewhcvvd2d2gsfzlpii.ipfs.nftstorage.link/errdb_soon.json";
}
}
//SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.0;
/**
* @dev A sequence of items with the ability to efficiently push and pop items (i.e. insert and remove) on both ends of
* the sequence (called front and back). Among other access patterns, it can be used to implement efficient LIFO and
* FIFO queues. Storage use is optimized, and all operations are O(1) constant time. This includes {clear}, given that
* the existing queue contents are left in storage.
*
* The struct is called `Bytes32Deque`. Other types can be cast to and from `bytes32`. This data structure can only be
* used in storage, and not in memory.
* ```solidity
* DoubleEndedQueue.Bytes32Deque queue;
* ```
*/
library DoubleEndedQueue {
/**
* @dev An operation (e.g. {front}) couldn't be completed due to the queue being empty.
*/
error QueueEmpty();
/**
* @dev A push operation couldn't be completed due to the queue being full.
*/
error QueueFull();
/**
* @dev An operation (e.g. {at}) couldn't be completed due to an index being out of bounds.
*/
error QueueOutOfBounds();
/**
* @dev Indices are 128 bits so begin and end are packed in a single storage slot for efficient access.
*
* Struct members have an underscore prefix indicating that they are "private" and should not be read or written to
* directly. Use the functions provided below instead. Modifying the struct manually may violate assumptions and
* lead to unexpected behavior.
*
* The first item is at data[begin] and the last item is at data[end - 1]. This range can wrap around.
*/
struct Uint256Deque {
uint128 _begin;
uint128 _end;
mapping(uint128 index => uint256) _data;
}
/**
* @dev Inserts an item at the end of the queue.
*
* Reverts with {QueueFull} if the queue is full.
*/
function pushBack(Uint256Deque storage deque, uint256 value) internal {
unchecked {
uint128 backIndex = deque._end;
if (backIndex + 1 == deque._begin) revert QueueFull();
deque._data[backIndex] = value;
deque._end = backIndex + 1;
}
}
/**
* @dev Removes the item at the end of the queue and returns it.
*
* Reverts with {QueueEmpty} if the queue is empty.
*/
function popBack(
Uint256Deque storage deque
) internal returns (uint256 value) {
unchecked {
uint128 backIndex = deque._end;
if (backIndex == deque._begin) revert QueueEmpty();
--backIndex;
value = deque._data[backIndex];
delete deque._data[backIndex];
deque._end = backIndex;
}
}
/**
* @dev Inserts an item at the beginning of the queue.
*
* Reverts with {QueueFull} if the queue is full.
*/
function pushFront(Uint256Deque storage deque, uint256 value) internal {
unchecked {
uint128 frontIndex = deque._begin - 1;
if (frontIndex == deque._end) revert QueueFull();
deque._data[frontIndex] = value;
deque._begin = frontIndex;
}
}
/**
* @dev Removes the item at the beginning of the queue and returns it.
*
* Reverts with `QueueEmpty` if the queue is empty.
*/
function popFront(
Uint256Deque storage deque
) internal returns (uint256 value) {
unchecked {
uint128 frontIndex = deque._begin;
if (frontIndex == deque._end) revert QueueEmpty();
value = deque._data[frontIndex];
delete deque._data[frontIndex];
deque._begin = frontIndex + 1;
}
}
/**
* @dev Returns the item at the beginning of the queue.
*
* Reverts with `QueueEmpty` if the queue is empty.
*/
function front(
Uint256Deque storage deque
) internal view returns (uint256 value) {
if (empty(deque)) revert QueueEmpty();
return deque._data[deque._begin];
}
/**
* @dev Returns the item at the end of the queue.
*
* Reverts with `QueueEmpty` if the queue is empty.
*/
function back(
Uint256Deque storage deque
) internal view returns (uint256 value) {
if (empty(deque)) revert QueueEmpty();
unchecked {
return deque._data[deque._end - 1];
}
}
/**
* @dev Return the item at a position in the queue given by `index`, with the first item at 0 and last item at
* `length(deque) - 1`.
*
* Reverts with `QueueOutOfBounds` if the index is out of bounds.
*/
function at(
Uint256Deque storage deque,
uint256 index
) internal view returns (uint256 value) {
if (index >= length(deque)) revert QueueOutOfBounds();
// By construction, length is a uint128, so the check above ensures that index can be safely downcast to uint128
unchecked {
return deque._data[deque._begin + uint128(index)];
}
}
/**
* @dev Resets the queue back to being empty.
*
* NOTE: The current items are left behind in storage. This does not affect the functioning of the queue, but misses
* out on potential gas refunds.
*/
function clear(Uint256Deque storage deque) internal {
deque._begin = 0;
deque._end = 0;
}
/**
* @dev Returns the number of items in the queue.
*/
function length(
Uint256Deque storage deque
) internal view returns (uint256) {
unchecked {
return uint256(deque._end - deque._begin);
}
}
/**
* @dev Returns true if the queue is empty.
*/
function empty(Uint256Deque storage deque) internal view returns (bool) {
return deque._end == deque._begin;
}
}
abstract contract Ownable {
event OwnershipTransferred(address indexed user, address indexed newOwner);
error Unauthorized();
error InvalidOwner();
address public owner;
modifier onlyOwner() virtual {
if (msg.sender != owner) revert Unauthorized();
_;
}
constructor(address _owner) {
if (_owner == address(0)) revert InvalidOwner();
owner = _owner;
emit OwnershipTransferred(address(0), _owner);
}
function transferOwnership(address _owner) public virtual onlyOwner {
if (_owner == address(0)) revert InvalidOwner();
owner = _owner;
emit OwnershipTransferred(msg.sender, _owner);
}
function revokeOwnership() public virtual onlyOwner {
owner = address(0);
emit OwnershipTransferred(msg.sender, address(0));
}
}
abstract contract ERC721Receiver {
function onERC721Received(
address,
address,
uint256,
bytes calldata
) external virtual returns (bytes4) {
return ERC721Receiver.onERC721Received.selector;
}
}
/// @notice ERC404
/// A gas-efficient, mixed ERC20 / ERC721 implementation
/// with native liquidity and fractionalization.
///
/// This is an experimental standard designed to integrate
/// with pre-existing ERC20 / ERC721 support as smoothly as
/// possible.
///
/// @dev In order to support full functionality of ERC20 and ERC721
/// supply assumptions are made that slightly constraint usage.
/// Ensure decimals are sufficiently large (standard 18 recommended)
/// as ids are effectively encoded in the lowest range of amounts.
///
/// NFTs are spent on ERC20 functions in a FILO queue, this is by
/// design.
///
abstract contract ERC404A is Ownable {
using DoubleEndedQueue for DoubleEndedQueue.Uint256Deque;
/// @dev The queue of ERC-721 tokens stored in the contract.
DoubleEndedQueue.Uint256Deque private _storedERC721Ids;
// Events
event ERC20Transfer(
address indexed from,
address indexed to,
uint256 amount
);
event Approval(
address indexed owner,
address indexed spender,
uint256 amount
);
event Transfer(
address indexed from,
address indexed to,
uint256 indexed id
);
event ERC721Approval(
address indexed owner,
address indexed spender,
uint256 indexed id
);
event ApprovalForAll(
address indexed owner,
address indexed operator,
bool approved
);
event ERC721Transfer(
address indexed from,
address indexed to,
uint256 indexed id
);
// Errors
error NotFound();
error AlreadyExists();
error InvalidRecipient();
error InvalidSender();
error UnsafeRecipient();
error InvalidParameter();
error OwnedIndexOverflow();
error NotAllowed();
// Metadata
/// @dev Token name
string public name;
/// @dev Token symbol
string public symbol;
/// @dev Decimals for fractional representation
uint8 public immutable decimals;
/// @dev Total supply in fractionalized representation
uint256 public immutable totalSupply;
/// @dev Total supply
uint256 public immutable totalNativeSupply;
/// @dev Current mint counter, monotonically increasing to ensure accurate ownership
uint256 public minted;
// Mappings
/// @dev Balance of user in fractional representation
mapping(address => uint256) public balanceOf;
/// @dev Allowance of user in fractional representation
mapping(address => mapping(address => uint256)) public allowance;
/// @dev Approval in native representaion
mapping(uint256 => address) public getApproved;
/// @dev Approval for all in native representation
mapping(address => mapping(address => bool)) public isApprovedForAll;
/// @dev Packed representation of ownerOf and owned indices
mapping(uint256 => uint256) internal _ownedData;
/// @dev Array of owned ids in native representation
mapping(address => uint256[]) internal _owned;
/// @dev Address bitmask for packed ownership data
uint256 private constant _BITMASK_ADDRESS = (1 << 160) - 1;
/// @dev Owned index bitmask for packed ownership data
uint256 private constant _BITMASK_OWNED_INDEX = ((1 << 96) - 1) << 160;
/// @dev Addresses whitelisted from minting / burning for gas savings (pairs, routers, etc)
mapping(address => bool) public whitelist;
bool private nftMintBurnPaused;
// Constructor
constructor(
string memory _name,
string memory _symbol,
uint8 _decimals,
uint256 _totalNativeSupply,
address _owner
) Ownable(_owner) {
name = _name;
symbol = _symbol;
decimals = _decimals;
totalSupply = _totalNativeSupply * (10 ** decimals);
totalNativeSupply = _totalNativeSupply;
}
/// @notice Initialization function to set pairs / etc
/// saving gas by avoiding mint / burn on unnecessary targets
function setWhitelist(address target, bool state) public onlyOwner {
whitelist[target] = state;
}
function setNftMintBurnPaused(bool state) public onlyOwner {
nftMintBurnPaused = state;
}
/// @notice Function to find owner of a given native token
function ownerOf(uint256 id) public view virtual returns (address owner) {
owner = _getOwnerOf(id);
if (owner == address(0)) {
revert NotFound();
}
}
// function erc721BalanceOf(
// address owner
// ) public view virtual returns (uint256) {
// return balanceOf[owner] / _getUnit();
// }
function _getLastTokenId(
address from
) internal view returns (uint256 id, uint256 index, uint256 lastSubIndex) {
// find last item position
if (_owned[from].length == 0) return (0, 0, 0);
index = _owned[from].length - 1;
uint256 idTemp = _owned[from][index];
lastSubIndex = 15;
for (uint256 i = 1; i < 16; i++) {
if ((idTemp >> (i * 16)) == 0) {
lastSubIndex = i - 1;
break;
}
}
id = idTemp >> (lastSubIndex * 16);
return (id, index, lastSubIndex);
}
// Backtest
function erc721BalanceOf(
address owner
) public view virtual returns (uint256) {
if (_owned[owner].length == 0) return 0;
(
uint256 tokenId,
uint256 index,
uint256 lastSubIndex
) = _getLastTokenId(owner);
return index * 16 + lastSubIndex + 1;
}
/// @notice tokenURI must be implemented by child contract
function tokenURI(uint256 id) public view virtual returns (string memory);
/// @notice Function for token approvals
/// @dev This function assumes id / native if amount less than or equal to current max id
function approve(
address spender,
uint256 amountOrId
) public virtual returns (bool) {
if (amountOrId <= minted) {
address owner = _getOwnerOf(amountOrId);
if (msg.sender != owner && !isApprovedForAll[owner][msg.sender]) {
revert Unauthorized();
}
getApproved[amountOrId] = spender;
emit Approval(owner, spender, amountOrId);
} else {
allowance[msg.sender][spender] = amountOrId;
emit Approval(msg.sender, spender, amountOrId);
}
return true;
}
/// @notice Function native approvals
function setApprovalForAll(address operator, bool approved) public virtual {
isApprovedForAll[msg.sender][operator] = approved;
emit ApprovalForAll(msg.sender, operator, approved);
}
/// @notice Function for mixed transfers
/// @dev This function assumes id / native if amount less than or equal to current max id
function transferFrom(
address from,
address to,
uint256 amountOrId
) public virtual {
if (to == address(0)) {
revert InvalidRecipient();
}
if (amountOrId <= minted) {
uint256 i;
if (from != _getOwnerOf(amountOrId)) {
revert Unauthorized();
}
if (
msg.sender != from &&
!isApprovedForAll[from][msg.sender] &&
msg.sender != getApproved[amountOrId]
) {
revert Unauthorized();
}
balanceOf[from] -= _getUnit();
unchecked {
balanceOf[to] += _getUnit();
}
_setOwnerOf(amountOrId, to);
delete getApproved[amountOrId];
// get last id and remove it
uint256 lastIndex = _owned[from].length - 1;
uint256 lastIdTemp = _owned[from][lastIndex];
uint256 lastId = 0;
if (lastIdTemp >> 16 == 0) {
_owned[from].pop();
lastId = lastIdTemp;
} else {
i = 2;
for (; i < 16; i++) {
if ((lastIdTemp >> (i * 16)) == 0) {
break;
}
}
lastId = lastIdTemp >> ((i - 1) * 16);
_owned[from][lastIndex] =
lastIdTemp -
(lastId << ((i - 1) * 16));
}
// move last id to index of amountOrId
if (lastId != amountOrId) {
_setOwnedIndex(lastId, _getOwnedIndex(amountOrId));
uint256 index = _getOwnedIndex(amountOrId) >> 4;
uint256 subIndex = _getOwnedIndex(amountOrId) - (index << 4);
uint256 idTemp = _owned[from][index];
_owned[from][index] =
idTemp -
(amountOrId << (16 * subIndex)) +
(lastId << (16 * subIndex));
}
// push amountOrId to to
uint256 toIndex = 0;
uint256 toIdTemp = 0;
if (_owned[to].length > 0) {
toIndex = _owned[to].length - 1;
toIdTemp = _owned[to][toIndex];
}
i = 0;
for (; i < 16; i++) {
if ((toIdTemp >> (i * 16)) == 0) {
toIdTemp = toIdTemp | (amountOrId << (i * 16));
if (_owned[to].length == 0) _owned[to].push(toIdTemp);
else _owned[to][toIndex] = toIdTemp;
_setOwnedIndex(amountOrId, toIndex * 16 + i);
break;
}
}
if (i == 16) {
_owned[to].push(amountOrId);
_setOwnedIndex(amountOrId, (toIndex + 1) * 16);
}
emit Transfer(from, to, amountOrId);
emit ERC20Transfer(from, to, _getUnit());
} else {
uint256 allowed = allowance[from][msg.sender];
if (allowed < amountOrId) revert NotAllowed();
if (allowed != type(uint256).max)
allowance[from][msg.sender] = allowed - amountOrId;
_transfer(from, to, amountOrId);
}
}
/// @notice Function for fractional transfers
function transfer(
address to,
uint256 amount
) public virtual returns (bool) {
return _transfer(msg.sender, to, amount);
}
/// @notice Function for native transfers with contract support
function safeTransferFrom(
address from,
address to,
uint256 id
) public virtual {
transferFrom(from, to, id);
if (
to.code.length != 0 &&
ERC721Receiver(to).onERC721Received(msg.sender, from, id, "") !=
ERC721Receiver.onERC721Received.selector
) {
revert UnsafeRecipient();
}
}
/// @notice Function for native transfers with contract support and callback data
function safeTransferFrom(
address from,
address to,
uint256 id,
bytes calldata data
) public virtual {
transferFrom(from, to, id);
if (
to.code.length != 0 &&
ERC721Receiver(to).onERC721Received(msg.sender, from, id, data) !=
ERC721Receiver.onERC721Received.selector
) {
revert UnsafeRecipient();
}
}
/// @notice Internal function for fractional transfers
function _transfer(
address from,
address to,
uint256 amount
) internal returns (bool) {
uint256 unit = _getUnit();
uint256 balanceBeforeSender = balanceOf[from];
balanceOf[from] -= amount;
uint256 balanceBeforeReceiver = balanceOf[to];
unchecked {
balanceOf[to] += amount;
}
if (!nftMintBurnPaused) {
if (whitelist[from] && whitelist[to]) {} else if (whitelist[from]) {
// [to] is not whitelisted.
uint256 tokens_to_mint = (balanceOf[to] / unit) -
(balanceBeforeReceiver / unit);
if (tokens_to_mint > 0) _mint(to, tokens_to_mint);
} else if (whitelist[to]) {
// [from] is not whitelisted.
uint256 tokens_to_burn = (balanceBeforeSender / unit) -
(balanceOf[from] / unit);
if (tokens_to_burn > 0) _burn(from, tokens_to_burn);
} else {
// Both are not whitelisted.
// Whole tokens worth of ERC-20s get transferred as ERC-721s without any burning/minting.
uint256 nftsToTransfer = amount / unit;
for (uint256 i = 0; i < nftsToTransfer; ) {
// Pop from sender's ERC-721 stack and transfer them (LIFO)
(
uint256 tokenId,
uint256 index,
uint256 lastSubIndex
) = _getLastTokenId(from);
_transferLastERC721(from, to, tokenId, index, lastSubIndex);
unchecked {
i++;
}
}
uint256 fractionalAmount = amount % unit;
if (
(balanceBeforeSender - fractionalAmount) / unit <
(balanceBeforeSender / unit)
) {
_burn(from, 1);
}
// Check if the receive causes the receiver to gain a whole new token that should be represented
// by an NFT due to receiving a fractional part that completes a whole token.
if (
(balanceBeforeReceiver + fractionalAmount) / unit >
(balanceBeforeReceiver / unit)
) {
_mint(to, 1);
}
}
}
emit ERC20Transfer(from, to, amount);
return true;
}
// Internal utility logic
function _getUnit() internal view returns (uint256) {
return 10 ** decimals;
}
/// @notice Consolidated record keeping function for transferring ERC-721s.
/// @dev Assign the token to the new owner, and remove from the old owner.
/// Note that this function allows transfers to and from 0x0.
/// Does not handle ERC-721 exemptions.
function _transferLastERC721(
address from,
address to,
uint256 id,
uint256 index,
uint256 lastSubIndex
) internal virtual {
// If this is not a mint, handle record keeping for transfer from previous owner.
if (from != address(0)) {
// On transfer of an NFT, any previous approval is reset.
if (lastSubIndex == 0) {
_owned[from].pop();
} else {
uint256 idTemp = _owned[from][index];
idTemp = idTemp - (id << (lastSubIndex * 16));
_owned[from][index] = idTemp;
}
// delete _ownedData[id];
delete getApproved[id];
}
// If not a burn, update the owner of the token to the new owner.
// Update owner of the token to the new owner.
_setOwnerOf(id, to);
// Push token onto the new owner's stack.
(
uint256 toLastTokenId,
uint256 toIndex,
uint256 toSubIndex
) = _getLastTokenId(to);
if (_owned[to].length == 0) {
_owned[to].push(id);
} else if (toSubIndex == 15) {
_owned[to].push(id);
toIndex++;
toSubIndex = 0;
} else {
uint256 idTemp = _owned[to][toIndex];
toSubIndex++;
idTemp = idTemp | (id << (toSubIndex * 16));
_owned[to][toIndex] = idTemp;
}
// Update index for new owner's stack.
_setOwnedIndex(id, toIndex * 16 + toSubIndex);
emit ERC721Transfer(from, to, id);
}
function _mint(address to, uint256 amount) internal virtual {
if (to == address(0)) {
revert InvalidRecipient();
}
uint256 i;
// find last item position
uint256 index = 0;
uint256 subIndex = 0;
uint256 idTemp = 0;
bool updateFirst = false;
if (_owned[to].length > 0) {
index = _owned[to].length - 1;
idTemp = _owned[to][index];
for (i = 0; i < 16; i++) {
if ((idTemp >> (i * 16)) == 0) {
subIndex = i;
updateFirst = true;
break;
}
}
if (i == 16) {
index++;
idTemp = 0;
}
}
for (i = 0; i < amount; i++) {
uint256 id;
if (minted < totalNativeSupply) {
// Increase id up to totalNativeSupply
minted++;
id = minted;
} else {
if (!DoubleEndedQueue.empty(_storedERC721Ids)) {
// If there are any tokens in the bank, use those first.
// Pop off the end of the queue (FIFO).
id = _storedERC721Ids.popBack();
} else {
// Otherwise, mint a new token, should not be able to go over the total fractional supply.
minted++;
id = minted;
}
}
if (_getOwnerOf(id) != address(0)) {
revert AlreadyExists();
}
_setOwnerOf(id, to);
_setOwnedIndex(id, index * 16 + subIndex);
idTemp = idTemp | (id << (subIndex * 16));
subIndex++;
if (subIndex == 16) {
if (updateFirst) {
_owned[to][index] = idTemp;
updateFirst = false;
} else {
_owned[to].push(idTemp);
}
subIndex = 0;
index++;
idTemp = 0;
}
emit Transfer(address(0), to, id);
}
if (subIndex != 0) {
if (updateFirst) {
_owned[to][index] = idTemp;
} else {
_owned[to].push(idTemp);
}
}
}
function _burn(address from, uint256 amount) internal virtual {
if (from == address(0)) {
revert InvalidSender();
}
if (_owned[from].length == 0 || amount == 0) {
revert InvalidParameter();
}
// find last item position
uint256 index = _owned[from].length - 1;
uint256 idTemp = _owned[from][index];
uint256 lastSubIndex = 15;
for (uint256 i = 1; i < 16; i++) {
if ((idTemp >> (i * 16)) == 0) {
lastSubIndex = i - 1;
break;
}
}
for (uint256 i = 0; i < amount; i++) {
uint256 id = idTemp;
if (lastSubIndex == 0) {
lastSubIndex = 15;
if (index > 0) index--;
idTemp = _owned[from][index];
_owned[from].pop();
} else {
id = idTemp >> (lastSubIndex * 16);
idTemp = idTemp - (id << (lastSubIndex * 16));
lastSubIndex--;
}
delete _ownedData[id];
delete getApproved[id];
// Record the token in the contract's bank queue.
_storedERC721Ids.pushFront(id);
emit Transfer(from, address(0), id);
}
if (lastSubIndex != 15) {
_owned[from][index] = idTemp;
}
}
function _setNameSymbol(
string memory _name,
string memory _symbol
) internal {
name = _name;
symbol = _symbol;
}
function _getOwnerOf(
uint256 id_
) internal view virtual returns (address ownerOf_) {
uint256 data = _ownedData[id_];
assembly {
ownerOf_ := and(data, _BITMASK_ADDRESS)
}
}
function _setOwnerOf(uint256 id_, address owner_) internal virtual {
uint256 data = _ownedData[id_];
assembly {
data := add(
and(data, _BITMASK_OWNED_INDEX),
and(owner_, _BITMASK_ADDRESS)
)
}
_ownedData[id_] = data;
}
function _getOwnedIndex(
uint256 id_
) internal view virtual returns (uint256 ownedIndex_) {
uint256 data = _ownedData[id_];
assembly {
ownedIndex_ := shr(160, data)
}
}
function _setOwnedIndex(uint256 id_, uint256 index_) internal virtual {
uint256 data = _ownedData[id_];
if (index_ > _BITMASK_OWNED_INDEX >> 160) {
revert OwnedIndexOverflow();
}
assembly {
data := add(
and(data, _BITMASK_ADDRESS),
and(shl(160, index_), _BITMASK_OWNED_INDEX)
)
}
_ownedData[id_] = data;
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol)
pragma solidity ^0.8.0;
/**
* @dev Standard math utilities missing in the Solidity language.
*/
library Math {
enum Rounding {
Down, // Toward negative infinity
Up, // Toward infinity
Zero // Toward zero
}
/**
* @dev Returns the largest of two numbers.
*/
function max(uint256 a, uint256 b) internal pure returns (uint256) {
return a > b ? a : b;
}
/**
* @dev Returns the smallest of two numbers.
*/
function min(uint256 a, uint256 b) internal pure returns (uint256) {
return a < b ? a : b;
}
/**
* @dev Returns the average of two numbers. The result is rounded towards
* zero.
*/
function average(uint256 a, uint256 b) internal pure returns (uint256) {
// (a + b) / 2 can overflow.
return (a & b) + (a ^ b) / 2;
}
/**
* @dev Returns the ceiling of the division of two numbers.
*
* This differs from standard division with `/` in that it rounds up instead
* of rounding down.
*/
function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
// (a + b - 1) / b can overflow on addition, so we distribute.
return a == 0 ? 0 : (a - 1) / b + 1;
}
/**
* @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
* @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
* with further edits by Uniswap Labs also under MIT license.
*/
function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
unchecked {
// 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
// use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
// variables such that product = prod1 * 2^256 + prod0.
uint256 prod0; // Least significant 256 bits of the product
uint256 prod1; // Most significant 256 bits of the product
assembly {
let mm := mulmod(x, y, not(0))
prod0 := mul(x, y)
prod1 := sub(sub(mm, prod0), lt(mm, prod0))
}
// Handle non-overflow cases, 256 by 256 division.
if (prod1 == 0) {
// Solidity will revert if denominator == 0, unlike the div opcode on its own.
// The surrounding unchecked block does not change this fact.
// See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
return prod0 / denominator;
}
// Make sure the result is less than 2^256. Also prevents denominator == 0.
require(denominator > prod1, "Math: mulDiv overflow");
///////////////////////////////////////////////
// 512 by 256 division.
///////////////////////////////////////////////
// Make division exact by subtracting the remainder from [prod1 prod0].
uint256 remainder;
assembly {
// Compute remainder using mulmod.
remainder := mulmod(x, y, denominator)
// Subtract 256 bit number from 512 bit number.
prod1 := sub(prod1, gt(remainder, prod0))
prod0 := sub(prod0, remainder)
}
// Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
// See https://cs.stackexchange.com/q/138556/92363.
// Does not overflow because the denominator cannot be zero at this stage in the function.
uint256 twos = denominator & (~denominator + 1);
assembly {
// Divide denominator by twos.
denominator := div(denominator, twos)
// Divide [prod1 prod0] by twos.
prod0 := div(prod0, twos)
// Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
twos := add(div(sub(0, twos), twos), 1)
}
// Shift in bits from prod1 into prod0.
prod0 |= prod1 * twos;
// Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
// that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
// four bits. That is, denominator * inv = 1 mod 2^4.
uint256 inverse = (3 * denominator) ^ 2;
// Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works
// in modular arithmetic, doubling the correct bits in each step.
inverse *= 2 - denominator * inverse; // inverse mod 2^8
inverse *= 2 - denominator * inverse; // inverse mod 2^16
inverse *= 2 - denominator * inverse; // inverse mod 2^32
inverse *= 2 - denominator * inverse; // inverse mod 2^64
inverse *= 2 - denominator * inverse; // inverse mod 2^128
inverse *= 2 - denominator * inverse; // inverse mod 2^256
// Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
// This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
// less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
// is no longer required.
result = prod0 * inverse;
return result;
}
}
/**
* @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
*/
function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
uint256 result = mulDiv(x, y, denominator);
if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
result += 1;
}
return result;
}
/**
* @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.
*
* Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
*/
function sqrt(uint256 a) internal pure returns (uint256) {
if (a == 0) {
return 0;
}
// For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
//
// We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
// `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
//
// This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
// → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
// → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
//
// Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
uint256 result = 1 << (log2(a) >> 1);
// At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
// since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
// every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
// into the expected uint128 result.
unchecked {
result = (result + a / result) >> 1;
result = (result + a / result) >> 1;
result = (result + a / result) >> 1;
result = (result + a / result) >> 1;
result = (result + a / result) >> 1;
result = (result + a / result) >> 1;
result = (result + a / result) >> 1;
return min(result, a / result);
}
}
/**
* @notice Calculates sqrt(a), following the selected rounding direction.
*/
function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
unchecked {
uint256 result = sqrt(a);
return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
}
}
/**
* @dev Return the log in base 2, rounded down, of a positive value.
* Returns 0 if given 0.
*/
function log2(uint256 value) internal pure returns (uint256) {
uint256 result = 0;
unchecked {
if (value >> 128 > 0) {
value >>= 128;
result += 128;
}
if (value >> 64 > 0) {
value >>= 64;
result += 64;
}
if (value >> 32 > 0) {
value >>= 32;
result += 32;
}
if (value >> 16 > 0) {
value >>= 16;
result += 16;
}
if (value >> 8 > 0) {
value >>= 8;
result += 8;
}
if (value >> 4 > 0) {
value >>= 4;
result += 4;
}
if (value >> 2 > 0) {
value >>= 2;
result += 2;
}
if (value >> 1 > 0) {
result += 1;
}
}
return result;
}
/**
* @dev Return the log in base 2, following the selected rounding direction, of a positive value.
* Returns 0 if given 0.
*/
function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
unchecked {
uint256 result = log2(value);
return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
}
}
/**
* @dev Return the log in base 10, rounded down, of a positive value.
* Returns 0 if given 0.
*/
function log10(uint256 value) internal pure returns (uint256) {
uint256 result = 0;
unchecked {
if (value >= 10 ** 64) {
value /= 10 ** 64;
result += 64;
}
if (value >= 10 ** 32) {
value /= 10 ** 32;
result += 32;
}
if (value >= 10 ** 16) {
value /= 10 ** 16;
result += 16;
}
if (value >= 10 ** 8) {
value /= 10 ** 8;
result += 8;
}
if (value >= 10 ** 4) {
value /= 10 ** 4;
result += 4;
}
if (value >= 10 ** 2) {
value /= 10 ** 2;
result += 2;
}
if (value >= 10 ** 1) {
result += 1;
}
}
return result;
}
/**
* @dev Return the log in base 10, following the selected rounding direction, of a positive value.
* Returns 0 if given 0.
*/
function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
unchecked {
uint256 result = log10(value);
return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0);
}
}
/**
* @dev Return the log in base 256, rounded down, of a positive value.
* Returns 0 if given 0.
*
* Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
*/
function log256(uint256 value) internal pure returns (uint256) {
uint256 result = 0;
unchecked {
if (value >> 128 > 0) {
value >>= 128;
result += 16;
}
if (value >> 64 > 0) {
value >>= 64;
result += 8;
}
if (value >> 32 > 0) {
value >>= 32;
result += 4;
}
if (value >> 16 > 0) {
value >>= 16;
result += 2;
}
if (value >> 8 > 0) {
result += 1;
}
}
return result;
}
/**
* @dev Return the log in base 256, following the selected rounding direction, of a positive value.
* Returns 0 if given 0.
*/
function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
unchecked {
uint256 result = log256(value);
return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0);
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SignedMath.sol)
pragma solidity ^0.8.0;
/**
* @dev Standard signed math utilities missing in the Solidity language.
*/
library SignedMath {
/**
* @dev Returns the largest of two signed numbers.
*/
function max(int256 a, int256 b) internal pure returns (int256) {
return a > b ? a : b;
}
/**
* @dev Returns the smallest of two signed numbers.
*/
function min(int256 a, int256 b) internal pure returns (int256) {
return a < b ? a : b;
}
/**
* @dev Returns the average of two signed numbers without overflow.
* The result is rounded towards zero.
*/
function average(int256 a, int256 b) internal pure returns (int256) {
// Formula from the book "Hacker's Delight"
int256 x = (a & b) + ((a ^ b) >> 1);
return x + (int256(uint256(x) >> 255) & (a ^ b));
}
/**
* @dev Returns the absolute unsigned value of a signed value.
*/
function abs(int256 n) internal pure returns (uint256) {
unchecked {
// must be unchecked in order to support `n = type(int256).min`
return uint256(n >= 0 ? n : -n);
}
}
}
// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Strings.sol)
pragma solidity ^0.8.0;
import "./math/Math.sol";
import "./math/SignedMath.sol";
/**
* @dev String operations.
*/
library Strings {
bytes16 private constant _SYMBOLS = "0123456789abcdef";
uint8 private constant _ADDRESS_LENGTH = 20;
/**
* @dev Converts a `uint256` to its ASCII `string` decimal representation.
*/
function toString(uint256 value) internal pure returns (string memory) {
unchecked {
uint256 length = Math.log10(value) + 1;
string memory buffer = new string(length);
uint256 ptr;
/// @solidity memory-safe-assembly
assembly {
ptr := add(buffer, add(32, length))
}
while (true) {
ptr--;
/// @solidity memory-safe-assembly
assembly {
mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
}
value /= 10;
if (value == 0) break;
}
return buffer;
}
}
/**
* @dev Converts a `int256` to its ASCII `string` decimal representation.
*/
function toString(int256 value) internal pure returns (string memory) {
return string(abi.encodePacked(value < 0 ? "-" : "", toString(SignedMath.abs(value))));
}
/**
* @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
*/
function toHexString(uint256 value) internal pure returns (string memory) {
unchecked {
return toHexString(value, Math.log256(value) + 1);
}
}
/**
* @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
*/
function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
bytes memory buffer = new bytes(2 * length + 2);
buffer[0] = "0";
buffer[1] = "x";
for (uint256 i = 2 * length + 1; i > 1; --i) {
buffer[i] = _SYMBOLS[value & 0xf];
value >>= 4;
}
require(value == 0, "Strings: hex length insufficient");
return string(buffer);
}
/**
* @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
*/
function toHexString(address addr) internal pure returns (string memory) {
return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
}
/**
* @dev Returns true if the two strings are equal.
*/
function equal(string memory a, string memory b) internal pure returns (bool) {
return keccak256(bytes(a)) == keccak256(bytes(b));
}
}
{
"compilationTarget": {
"contracts/test/Dibbles404.sol": "Dibbles404"
},
"evmVersion": "paris",
"libraries": {},
"metadata": {
"bytecodeHash": "ipfs"
},
"optimizer": {
"enabled": true,
"runs": 200
},
"remappings": []
}
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