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ERC-721
Overview
Max Total Supply
313 MRCR
Holders
198
Market
Volume (24H)
N/A
Min Price (24H)
N/A
Max Price (24H)
N/A
Other Info
Token Contract
Balance
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Contract Name:
MusicRacerNFT
Compiler Version
v0.8.9+commit.e5eed63a
Contract Source Code (Solidity)
/** *Submitted for verification at Etherscan.io on 2021-10-15 */ // SPDX-License-Identifier: MIT // File: @openzeppelin/contracts/utils/Strings.sol pragma solidity ^0.8.0; /** * @dev String operations. */ library Strings { bytes16 private constant _HEX_SYMBOLS = "0123456789abcdef"; /** * @dev Converts a `uint256` to its ASCII `string` decimal representation. */ function toString(uint256 value) internal pure returns (string memory) { // Inspired by OraclizeAPI's implementation - MIT licence // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol if (value == 0) { return "0"; } uint256 temp = value; uint256 digits; while (temp != 0) { digits++; temp /= 10; } bytes memory buffer = new bytes(digits); while (value != 0) { digits -= 1; buffer[digits] = bytes1(uint8(48 + uint256(value % 10))); value /= 10; } return string(buffer); } /** * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation. */ function toHexString(uint256 value) internal pure returns (string memory) { if (value == 0) { return "0x00"; } uint256 temp = value; uint256 length = 0; while (temp != 0) { length++; temp >>= 8; } return toHexString(value, length); } /** * @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] = _HEX_SYMBOLS[value & 0xf]; value >>= 4; } require(value == 0, "Strings: hex length insufficient"); return string(buffer); } } // File: @openzeppelin/contracts/utils/Context.sol pragma solidity ^0.8.0; /** * @dev Provides information about the current execution context, including the * sender of the transaction and its data. While these are generally available * via msg.sender and msg.data, they should not be accessed in such a direct * manner, since when dealing with meta-transactions the account sending and * paying for execution may not be the actual sender (as far as an application * is concerned). * * This contract is only required for intermediate, library-like contracts. */ abstract contract Context { function _msgSender() internal view virtual returns (address) { return msg.sender; } function _msgData() internal view virtual returns (bytes calldata) { return msg.data; } } // File: @openzeppelin/contracts/utils/Address.sol pragma solidity ^0.8.0; /** * @dev Collection of functions related to the address type */ library Address { /** * @dev Returns true if `account` is a contract. * * [IMPORTANT] * ==== * It is unsafe to assume that an address for which this function returns * false is an externally-owned account (EOA) and not a contract. * * Among others, `isContract` will return false for the following * types of addresses: * * - an externally-owned account * - a contract in construction * - an address where a contract will be created * - an address where a contract lived, but was destroyed * ==== */ function isContract(address account) internal view returns (bool) { // This method relies on extcodesize, which returns 0 for contracts in // construction, since the code is only stored at the end of the // constructor execution. uint256 size; assembly { size := extcodesize(account) } return size > 0; } /** * @dev Replacement for Solidity's `transfer`: sends `amount` wei to * `recipient`, forwarding all available gas and reverting on errors. * * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost * of certain opcodes, possibly making contracts go over the 2300 gas limit * imposed by `transfer`, making them unable to receive funds via * `transfer`. {sendValue} removes this limitation. * * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more]. * * IMPORTANT: because control is transferred to `recipient`, care must be * taken to not create reentrancy vulnerabilities. Consider using * {ReentrancyGuard} or the * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern]. */ function sendValue(address payable recipient, uint256 amount) internal { require(address(this).balance >= amount, "Address: insufficient balance"); (bool success, ) = recipient.call{value: amount}(""); require(success, "Address: unable to send value, recipient may have reverted"); } /** * @dev Performs a Solidity function call using a low level `call`. A * plain `call` is an unsafe replacement for a function call: use this * function instead. * * If `target` reverts with a revert reason, it is bubbled up by this * function (like regular Solidity function calls). * * Returns the raw returned data. To convert to the expected return value, * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`]. * * Requirements: * * - `target` must be a contract. * - calling `target` with `data` must not revert. * * _Available since v3.1._ */ function functionCall(address target, bytes memory data) internal returns (bytes memory) { return functionCall(target, data, "Address: low-level call failed"); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with * `errorMessage` as a fallback revert reason when `target` reverts. * * _Available since v3.1._ */ function functionCall( address target, bytes memory data, string memory errorMessage ) internal returns (bytes memory) { return functionCallWithValue(target, data, 0, errorMessage); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], * but also transferring `value` wei to `target`. * * Requirements: * * - the calling contract must have an ETH balance of at least `value`. * - the called Solidity function must be `payable`. * * _Available since v3.1._ */ function functionCallWithValue( address target, bytes memory data, uint256 value ) internal returns (bytes memory) { return functionCallWithValue(target, data, value, "Address: low-level call with value failed"); } /** * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but * with `errorMessage` as a fallback revert reason when `target` reverts. * * _Available since v3.1._ */ function functionCallWithValue( address target, bytes memory data, uint256 value, string memory errorMessage ) internal returns (bytes memory) { require(address(this).balance >= value, "Address: insufficient balance for call"); require(isContract(target), "Address: call to non-contract"); (bool success, bytes memory returndata) = target.call{value: value}(data); return verifyCallResult(success, returndata, errorMessage); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], * but performing a static call. * * _Available since v3.3._ */ function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) { return functionStaticCall(target, data, "Address: low-level static call failed"); } /** * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`], * but performing a static call. * * _Available since v3.3._ */ function functionStaticCall( address target, bytes memory data, string memory errorMessage ) internal view returns (bytes memory) { require(isContract(target), "Address: static call to non-contract"); (bool success, bytes memory returndata) = target.staticcall(data); return verifyCallResult(success, returndata, errorMessage); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], * but performing a delegate call. * * _Available since v3.4._ */ function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) { return functionDelegateCall(target, data, "Address: low-level delegate call failed"); } /** * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`], * but performing a delegate call. * * _Available since v3.4._ */ function functionDelegateCall( address target, bytes memory data, string memory errorMessage ) internal returns (bytes memory) { require(isContract(target), "Address: delegate call to non-contract"); (bool success, bytes memory returndata) = target.delegatecall(data); return verifyCallResult(success, returndata, errorMessage); } /** * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the * revert reason using the provided one. * * _Available since v4.3._ */ function verifyCallResult( bool success, bytes memory returndata, string memory errorMessage ) internal pure returns (bytes memory) { if (success) { return returndata; } else { // Look for revert reason and bubble it up if present if (returndata.length > 0) { // The easiest way to bubble the revert reason is using memory via assembly assembly { let returndata_size := mload(returndata) revert(add(32, returndata), returndata_size) } } else { revert(errorMessage); } } } } // File: @openzeppelin/contracts/token/ERC721/IERC721Receiver.sol pragma solidity ^0.8.0; /** * @title ERC721 token receiver interface * @dev Interface for any contract that wants to support safeTransfers * from ERC721 asset contracts. */ interface IERC721Receiver { /** * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom} * by `operator` from `from`, this function is called. * * It must return its Solidity selector to confirm the token transfer. * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted. * * The selector can be obtained in Solidity with `IERC721.onERC721Received.selector`. */ function onERC721Received( address operator, address from, uint256 tokenId, bytes calldata data ) external returns (bytes4); } // File: @openzeppelin/contracts/utils/introspection/IERC165.sol pragma solidity ^0.8.0; /** * @dev Interface of the ERC165 standard, as defined in the * https://eips.ethereum.org/EIPS/eip-165[EIP]. * * Implementers can declare support of contract interfaces, which can then be * queried by others ({ERC165Checker}). * * For an implementation, see {ERC165}. */ interface IERC165 { /** * @dev Returns true if this contract implements the interface defined by * `interfaceId`. See the corresponding * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section] * to learn more about how these ids are created. * * This function call must use less than 30 000 gas. */ function supportsInterface(bytes4 interfaceId) external view returns (bool); } // File: @openzeppelin/contracts/utils/introspection/ERC165.sol pragma solidity ^0.8.0; /** * @dev Implementation of the {IERC165} interface. * * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check * for the additional interface id that will be supported. For example: * * ```solidity * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) { * return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId); * } * ``` * * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation. */ abstract contract ERC165 is IERC165 { /** * @dev See {IERC165-supportsInterface}. */ function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) { return interfaceId == type(IERC165).interfaceId; } } // File: @openzeppelin/contracts/token/ERC721/IERC721.sol pragma solidity ^0.8.0; /** * @dev Required interface of an ERC721 compliant contract. */ interface IERC721 is IERC165 { /** * @dev Emitted when `tokenId` token is transferred from `from` to `to`. */ event Transfer(address indexed from, address indexed to, uint256 indexed tokenId); /** * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token. */ event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId); /** * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets. */ event ApprovalForAll(address indexed owner, address indexed operator, bool approved); /** * @dev Returns the number of tokens in ``owner``'s account. */ function balanceOf(address owner) external view returns (uint256 balance); /** * @dev Returns the owner of the `tokenId` token. * * Requirements: * * - `tokenId` must exist. */ function ownerOf(uint256 tokenId) external view returns (address owner); /** * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients * are aware of the ERC721 protocol to prevent tokens from being forever locked. * * Requirements: * * - `from` cannot be the zero address. * - `to` cannot be the zero address. * - `tokenId` token must exist and be owned by `from`. * - If the caller is not `from`, it must be have been allowed to move this token by either {approve} or {setApprovalForAll}. * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer. * * Emits a {Transfer} event. */ function safeTransferFrom( address from, address to, uint256 tokenId ) external; /** * @dev Transfers `tokenId` token from `from` to `to`. * * WARNING: Usage of this method is discouraged, use {safeTransferFrom} whenever possible. * * Requirements: * * - `from` cannot be the zero address. * - `to` cannot be the zero address. * - `tokenId` token must be owned by `from`. * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}. * * Emits a {Transfer} event. */ function transferFrom( address from, address to, uint256 tokenId ) external; /** * @dev Gives permission to `to` to transfer `tokenId` token to another account. * The approval is cleared when the token is transferred. * * Only a single account can be approved at a time, so approving the zero address clears previous approvals. * * Requirements: * * - The caller must own the token or be an approved operator. * - `tokenId` must exist. * * Emits an {Approval} event. */ function approve(address to, uint256 tokenId) external; /** * @dev Returns the account approved for `tokenId` token. * * Requirements: * * - `tokenId` must exist. */ function getApproved(uint256 tokenId) external view returns (address operator); /** * @dev Approve or remove `operator` as an operator for the caller. * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller. * * Requirements: * * - The `operator` cannot be the caller. * * Emits an {ApprovalForAll} event. */ function setApprovalForAll(address operator, bool _approved) external; /** * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`. * * See {setApprovalForAll} */ function isApprovedForAll(address owner, address operator) external view returns (bool); /** * @dev Safely transfers `tokenId` token from `from` to `to`. * * Requirements: * * - `from` cannot be the zero address. * - `to` cannot be the zero address. * - `tokenId` token must exist and be owned by `from`. * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}. * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer. * * Emits a {Transfer} event. */ function safeTransferFrom( address from, address to, uint256 tokenId, bytes calldata data ) external; } // File: @openzeppelin/contracts/token/ERC721/extensions/IERC721Enumerable.sol pragma solidity ^0.8.0; /** * @title ERC-721 Non-Fungible Token Standard, optional enumeration extension * @dev See https://eips.ethereum.org/EIPS/eip-721 */ interface IERC721Enumerable is IERC721 { /** * @dev Returns the total amount of tokens stored by the contract. */ function totalSupply() external view returns (uint256); /** * @dev Returns a token ID owned by `owner` at a given `index` of its token list. * Use along with {balanceOf} to enumerate all of ``owner``'s tokens. */ function tokenOfOwnerByIndex(address owner, uint256 index) external view returns (uint256 tokenId); /** * @dev Returns a token ID at a given `index` of all the tokens stored by the contract. * Use along with {totalSupply} to enumerate all tokens. */ function tokenByIndex(uint256 index) external view returns (uint256); } // File: @openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol pragma solidity ^0.8.0; /** * @title ERC-721 Non-Fungible Token Standard, optional metadata extension * @dev See https://eips.ethereum.org/EIPS/eip-721 */ interface IERC721Metadata is IERC721 { /** * @dev Returns the token collection name. */ function name() external view returns (string memory); /** * @dev Returns the token collection symbol. */ function symbol() external view returns (string memory); /** * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token. */ function tokenURI(uint256 tokenId) external view returns (string memory); } // File: @openzeppelin/contracts/token/ERC721/ERC721.sol pragma solidity ^0.8.0; /** * @dev Implementation of https://eips.ethereum.org/EIPS/eip-721[ERC721] Non-Fungible Token Standard, including * the Metadata extension, but not including the Enumerable extension, which is available separately as * {ERC721Enumerable}. */ contract ERC721 is Context, ERC165, IERC721, IERC721Metadata { using Address for address; using Strings for uint256; // Token name string private _name; // Token symbol string private _symbol; // Mapping from token ID to owner address mapping(uint256 => address) private _owners; // Mapping owner address to token count mapping(address => uint256) private _balances; // Mapping from token ID to approved address mapping(uint256 => address) private _tokenApprovals; // Mapping from owner to operator approvals mapping(address => mapping(address => bool)) private _operatorApprovals; /** * @dev Initializes the contract by setting a `name` and a `symbol` to the token collection. */ constructor(string memory name_, string memory symbol_) { _name = name_; _symbol = symbol_; } /** * @dev See {IERC165-supportsInterface}. */ function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165, IERC165) returns (bool) { return interfaceId == type(IERC721).interfaceId || interfaceId == type(IERC721Metadata).interfaceId || super.supportsInterface(interfaceId); } /** * @dev See {IERC721-balanceOf}. */ function balanceOf(address owner) public view virtual override returns (uint256) { require(owner != address(0), "ERC721: balance query for the zero address"); return _balances[owner]; } /** * @dev See {IERC721-ownerOf}. */ function ownerOf(uint256 tokenId) public view virtual override returns (address) { address owner = _owners[tokenId]; require(owner != address(0), "ERC721: owner query for nonexistent token"); return owner; } /** * @dev See {IERC721Metadata-name}. */ function name() public view virtual override returns (string memory) { return _name; } /** * @dev See {IERC721Metadata-symbol}. */ function symbol() public view virtual override returns (string memory) { return _symbol; } /** * @dev See {IERC721Metadata-tokenURI}. */ function tokenURI(uint256 tokenId) public view virtual override returns (string memory) { require(_exists(tokenId), "ERC721Metadata: URI query for nonexistent token"); string memory baseURI = _baseURI(); return bytes(baseURI).length > 0 ? string(abi.encodePacked(baseURI, tokenId.toString())) : ""; } /** * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each * token will be the concatenation of the `baseURI` and the `tokenId`. Empty * by default, can be overriden in child contracts. */ function _baseURI() internal view virtual returns (string memory) { return ""; } /** * @dev See {IERC721-approve}. */ function approve(address to, uint256 tokenId) public virtual override { address owner = ERC721.ownerOf(tokenId); require(to != owner, "ERC721: approval to current owner"); require( _msgSender() == owner || isApprovedForAll(owner, _msgSender()), "ERC721: approve caller is not owner nor approved for all" ); _approve(to, tokenId); } /** * @dev See {IERC721-getApproved}. */ function getApproved(uint256 tokenId) public view virtual override returns (address) { require(_exists(tokenId), "ERC721: approved query for nonexistent token"); return _tokenApprovals[tokenId]; } /** * @dev See {IERC721-setApprovalForAll}. */ function setApprovalForAll(address operator, bool approved) public virtual override { require(operator != _msgSender(), "ERC721: approve to caller"); _operatorApprovals[_msgSender()][operator] = approved; emit ApprovalForAll(_msgSender(), operator, approved); } /** * @dev See {IERC721-isApprovedForAll}. */ function isApprovedForAll(address owner, address operator) public view virtual override returns (bool) { return _operatorApprovals[owner][operator]; } /** * @dev See {IERC721-transferFrom}. */ function transferFrom( address from, address to, uint256 tokenId ) public virtual override { //solhint-disable-next-line max-line-length require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: transfer caller is not owner nor approved"); _transfer(from, to, tokenId); } /** * @dev See {IERC721-safeTransferFrom}. */ function safeTransferFrom( address from, address to, uint256 tokenId ) public virtual override { safeTransferFrom(from, to, tokenId, ""); } /** * @dev See {IERC721-safeTransferFrom}. */ function safeTransferFrom( address from, address to, uint256 tokenId, bytes memory _data ) public virtual override { require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: transfer caller is not owner nor approved"); _safeTransfer(from, to, tokenId, _data); } /** * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients * are aware of the ERC721 protocol to prevent tokens from being forever locked. * * `_data` is additional data, it has no specified format and it is sent in call to `to`. * * This internal function is equivalent to {safeTransferFrom}, and can be used to e.g. * implement alternative mechanisms to perform token transfer, such as signature-based. * * Requirements: * * - `from` cannot be the zero address. * - `to` cannot be the zero address. * - `tokenId` token must exist and be owned by `from`. * - 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 tokenId, bytes memory _data ) internal virtual { _transfer(from, to, tokenId); require(_checkOnERC721Received(from, to, tokenId, _data), "ERC721: transfer to non ERC721Receiver implementer"); } /** * @dev Returns whether `tokenId` exists. * * Tokens can be managed by their owner or approved accounts via {approve} or {setApprovalForAll}. * * Tokens start existing when they are minted (`_mint`), * and stop existing when they are burned (`_burn`). */ function _exists(uint256 tokenId) internal view virtual returns (bool) { return _owners[tokenId] != address(0); } /** * @dev Returns whether `spender` is allowed to manage `tokenId`. * * Requirements: * * - `tokenId` must exist. */ function _isApprovedOrOwner(address spender, uint256 tokenId) internal view virtual returns (bool) { require(_exists(tokenId), "ERC721: operator query for nonexistent token"); address owner = ERC721.ownerOf(tokenId); return (spender == owner || getApproved(tokenId) == spender || isApprovedForAll(owner, spender)); } /** * @dev Safely mints `tokenId` and transfers it to `to`. * * Requirements: * * - `tokenId` must not exist. * - 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 tokenId) internal virtual { _safeMint(to, tokenId, ""); } /** * @dev Same as {xref-ERC721-_safeMint-address-uint256-}[`_safeMint`], with an additional `data` parameter which is * forwarded in {IERC721Receiver-onERC721Received} to contract recipients. */ function _safeMint( address to, uint256 tokenId, bytes memory _data ) internal virtual { _mint(to, tokenId); require( _checkOnERC721Received(address(0), to, tokenId, _data), "ERC721: transfer to non ERC721Receiver implementer" ); } /** * @dev Mints `tokenId` and transfers it to `to`. * * WARNING: Usage of this method is discouraged, use {_safeMint} whenever possible * * Requirements: * * - `tokenId` must not exist. * - `to` cannot be the zero address. * * Emits a {Transfer} event. */ function _mint(address to, uint256 tokenId) internal virtual { require(to != address(0), "ERC721: mint to the zero address"); require(!_exists(tokenId), "ERC721: token already minted"); _beforeTokenTransfer(address(0), to, tokenId); _balances[to] += 1; _owners[tokenId] = to; emit Transfer(address(0), to, tokenId); } /** * @dev Destroys `tokenId`. * The approval is cleared when the token is burned. * * Requirements: * * - `tokenId` must exist. * * Emits a {Transfer} event. */ function _burn(uint256 tokenId) internal virtual { address owner = ERC721.ownerOf(tokenId); _beforeTokenTransfer(owner, address(0), tokenId); // Clear approvals _approve(address(0), tokenId); _balances[owner] -= 1; delete _owners[tokenId]; emit Transfer(owner, address(0), tokenId); } /** * @dev Transfers `tokenId` from `from` to `to`. * As opposed to {transferFrom}, this imposes no restrictions on msg.sender. * * Requirements: * * - `to` cannot be the zero address. * - `tokenId` token must be owned by `from`. * * Emits a {Transfer} event. */ function _transfer( address from, address to, uint256 tokenId ) internal virtual { require(ERC721.ownerOf(tokenId) == from, "ERC721: transfer of token that is not own"); require(to != address(0), "ERC721: transfer to the zero address"); _beforeTokenTransfer(from, to, tokenId); // Clear approvals from the previous owner _approve(address(0), tokenId); _balances[from] -= 1; _balances[to] += 1; _owners[tokenId] = to; emit Transfer(from, to, tokenId); } /** * @dev Approve `to` to operate on `tokenId` * * Emits a {Approval} event. */ function _approve(address to, uint256 tokenId) internal virtual { _tokenApprovals[tokenId] = to; emit Approval(ERC721.ownerOf(tokenId), to, tokenId); } /** * @dev Internal function to invoke {IERC721Receiver-onERC721Received} on a target address. * The call is not executed if the target address is not a contract. * * @param from address representing the previous owner of the given token ID * @param to target address that will receive the tokens * @param tokenId uint256 ID of the token to be transferred * @param _data bytes optional data to send along with the call * @return bool whether the call correctly returned the expected magic value */ function _checkOnERC721Received( address from, address to, uint256 tokenId, bytes memory _data ) private returns (bool) { if (to.isContract()) { try IERC721Receiver(to).onERC721Received(_msgSender(), from, tokenId, _data) returns (bytes4 retval) { return retval == IERC721Receiver.onERC721Received.selector; } catch (bytes memory reason) { if (reason.length == 0) { revert("ERC721: transfer to non ERC721Receiver implementer"); } else { assembly { revert(add(32, reason), mload(reason)) } } } } else { return true; } } /** * @dev Hook that is called before any token transfer. This includes minting * and burning. * * Calling conditions: * * - When `from` and `to` are both non-zero, ``from``'s `tokenId` will be * transferred to `to`. * - When `from` is zero, `tokenId` will be minted for `to`. * - When `to` is zero, ``from``'s `tokenId` will be burned. * - `from` and `to` are never both zero. * * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks]. */ function _beforeTokenTransfer( address from, address to, uint256 tokenId ) internal virtual {} } // File: @openzeppelin/contracts/token/ERC721/extensions/ERC721Enumerable.sol pragma solidity ^0.8.0; /** * @dev This implements an optional extension of {ERC721} defined in the EIP that adds * enumerability of all the token ids in the contract as well as all token ids owned by each * account. */ abstract contract ERC721Enumerable is ERC721, IERC721Enumerable { // Mapping from owner to list of owned token IDs mapping(address => mapping(uint256 => uint256)) private _ownedTokens; // Mapping from token ID to index of the owner tokens list mapping(uint256 => uint256) private _ownedTokensIndex; // Array with all token ids, used for enumeration uint256[] private _allTokens; // Mapping from token id to position in the allTokens array mapping(uint256 => uint256) private _allTokensIndex; /** * @dev See {IERC165-supportsInterface}. */ function supportsInterface(bytes4 interfaceId) public view virtual override(IERC165, ERC721) returns (bool) { return interfaceId == type(IERC721Enumerable).interfaceId || super.supportsInterface(interfaceId); } /** * @dev See {IERC721Enumerable-tokenOfOwnerByIndex}. */ function tokenOfOwnerByIndex(address owner, uint256 index) public view virtual override returns (uint256) { require(index < ERC721.balanceOf(owner), "ERC721Enumerable: owner index out of bounds"); return _ownedTokens[owner][index]; } /** * @dev See {IERC721Enumerable-totalSupply}. */ function totalSupply() public view virtual override returns (uint256) { return _allTokens.length; } /** * @dev See {IERC721Enumerable-tokenByIndex}. */ function tokenByIndex(uint256 index) public view virtual override returns (uint256) { require(index < ERC721Enumerable.totalSupply(), "ERC721Enumerable: global index out of bounds"); return _allTokens[index]; } /** * @dev Hook that is called before any token transfer. This includes minting * and burning. * * Calling conditions: * * - When `from` and `to` are both non-zero, ``from``'s `tokenId` will be * transferred to `to`. * - When `from` is zero, `tokenId` will be minted for `to`. * - When `to` is zero, ``from``'s `tokenId` will be burned. * - `from` cannot be the zero address. * - `to` cannot be the zero address. * * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks]. */ function _beforeTokenTransfer( address from, address to, uint256 tokenId ) internal virtual override { super._beforeTokenTransfer(from, to, tokenId); if (from == address(0)) { _addTokenToAllTokensEnumeration(tokenId); } else if (from != to) { _removeTokenFromOwnerEnumeration(from, tokenId); } if (to == address(0)) { _removeTokenFromAllTokensEnumeration(tokenId); } else if (to != from) { _addTokenToOwnerEnumeration(to, tokenId); } } /** * @dev Private function to add a token to this extension's ownership-tracking data structures. * @param to address representing the new owner of the given token ID * @param tokenId uint256 ID of the token to be added to the tokens list of the given address */ function _addTokenToOwnerEnumeration(address to, uint256 tokenId) private { uint256 length = ERC721.balanceOf(to); _ownedTokens[to][length] = tokenId; _ownedTokensIndex[tokenId] = length; } /** * @dev Private function to add a token to this extension's token tracking data structures. * @param tokenId uint256 ID of the token to be added to the tokens list */ function _addTokenToAllTokensEnumeration(uint256 tokenId) private { _allTokensIndex[tokenId] = _allTokens.length; _allTokens.push(tokenId); } /** * @dev Private function to remove a token from this extension's ownership-tracking data structures. Note that * while the token is not assigned a new owner, the `_ownedTokensIndex` mapping is _not_ updated: this allows for * gas optimizations e.g. when performing a transfer operation (avoiding double writes). * This has O(1) time complexity, but alters the order of the _ownedTokens array. * @param from address representing the previous owner of the given token ID * @param tokenId uint256 ID of the token to be removed from the tokens list of the given address */ function _removeTokenFromOwnerEnumeration(address from, uint256 tokenId) private { // To prevent a gap in from's tokens array, we store the last token in the index of the token to delete, and // then delete the last slot (swap and pop). uint256 lastTokenIndex = ERC721.balanceOf(from) - 1; uint256 tokenIndex = _ownedTokensIndex[tokenId]; // When the token to delete is the last token, the swap operation is unnecessary if (tokenIndex != lastTokenIndex) { uint256 lastTokenId = _ownedTokens[from][lastTokenIndex]; _ownedTokens[from][tokenIndex] = lastTokenId; // Move the last token to the slot of the to-delete token _ownedTokensIndex[lastTokenId] = tokenIndex; // Update the moved token's index } // This also deletes the contents at the last position of the array delete _ownedTokensIndex[tokenId]; delete _ownedTokens[from][lastTokenIndex]; } /** * @dev Private function to remove a token from this extension's token tracking data structures. * This has O(1) time complexity, but alters the order of the _allTokens array. * @param tokenId uint256 ID of the token to be removed from the tokens list */ function _removeTokenFromAllTokensEnumeration(uint256 tokenId) private { // To prevent a gap in the tokens array, we store the last token in the index of the token to delete, and // then delete the last slot (swap and pop). uint256 lastTokenIndex = _allTokens.length - 1; uint256 tokenIndex = _allTokensIndex[tokenId]; // When the token to delete is the last token, the swap operation is unnecessary. However, since this occurs so // rarely (when the last minted token is burnt) that we still do the swap here to avoid the gas cost of adding // an 'if' statement (like in _removeTokenFromOwnerEnumeration) uint256 lastTokenId = _allTokens[lastTokenIndex]; _allTokens[tokenIndex] = lastTokenId; // Move the last token to the slot of the to-delete token _allTokensIndex[lastTokenId] = tokenIndex; // Update the moved token's index // This also deletes the contents at the last position of the array delete _allTokensIndex[tokenId]; _allTokens.pop(); } } // File: prb-math/contracts/PRBMath.sol pragma solidity >=0.8.4; /// @notice Emitted when the result overflows uint256. error PRBMath__MulDivFixedPointOverflow(uint256 prod1); /// @notice Emitted when the result overflows uint256. error PRBMath__MulDivOverflow(uint256 prod1, uint256 denominator); /// @notice Emitted when one of the inputs is type(int256).min. error PRBMath__MulDivSignedInputTooSmall(); /// @notice Emitted when the intermediary absolute result overflows int256. error PRBMath__MulDivSignedOverflow(uint256 rAbs); /// @notice Emitted when the input is MIN_SD59x18. error PRBMathSD59x18__AbsInputTooSmall(); /// @notice Emitted when ceiling a number overflows SD59x18. error PRBMathSD59x18__CeilOverflow(int256 x); /// @notice Emitted when one of the inputs is MIN_SD59x18. error PRBMathSD59x18__DivInputTooSmall(); /// @notice Emitted when one of the intermediary unsigned results overflows SD59x18. error PRBMathSD59x18__DivOverflow(uint256 rAbs); /// @notice Emitted when the input is greater than 133.084258667509499441. error PRBMathSD59x18__ExpInputTooBig(int256 x); /// @notice Emitted when the input is greater than 192. error PRBMathSD59x18__Exp2InputTooBig(int256 x); /// @notice Emitted when flooring a number underflows SD59x18. error PRBMathSD59x18__FloorUnderflow(int256 x); /// @notice Emitted when converting a basic integer to the fixed-point format overflows SD59x18. error PRBMathSD59x18__FromIntOverflow(int256 x); /// @notice Emitted when converting a basic integer to the fixed-point format underflows SD59x18. error PRBMathSD59x18__FromIntUnderflow(int256 x); /// @notice Emitted when the product of the inputs is negative. error PRBMathSD59x18__GmNegativeProduct(int256 x, int256 y); /// @notice Emitted when multiplying the inputs overflows SD59x18. error PRBMathSD59x18__GmOverflow(int256 x, int256 y); /// @notice Emitted when the input is less than or equal to zero. error PRBMathSD59x18__LogInputTooSmall(int256 x); /// @notice Emitted when one of the inputs is MIN_SD59x18. error PRBMathSD59x18__MulInputTooSmall(); /// @notice Emitted when the intermediary absolute result overflows SD59x18. error PRBMathSD59x18__MulOverflow(uint256 rAbs); /// @notice Emitted when the intermediary absolute result overflows SD59x18. error PRBMathSD59x18__PowuOverflow(uint256 rAbs); /// @notice Emitted when the input is negative. error PRBMathSD59x18__SqrtNegativeInput(int256 x); /// @notice Emitted when the calculating the square root overflows SD59x18. error PRBMathSD59x18__SqrtOverflow(int256 x); /// @notice Emitted when addition overflows UD60x18. error PRBMathUD60x18__AddOverflow(uint256 x, uint256 y); /// @notice Emitted when ceiling a number overflows UD60x18. error PRBMathUD60x18__CeilOverflow(uint256 x); /// @notice Emitted when the input is greater than 133.084258667509499441. error PRBMathUD60x18__ExpInputTooBig(uint256 x); /// @notice Emitted when the input is greater than 192. error PRBMathUD60x18__Exp2InputTooBig(uint256 x); /// @notice Emitted when converting a basic integer to the fixed-point format format overflows UD60x18. error PRBMathUD60x18__FromUintOverflow(uint256 x); /// @notice Emitted when multiplying the inputs overflows UD60x18. error PRBMathUD60x18__GmOverflow(uint256 x, uint256 y); /// @notice Emitted when the input is less than 1. error PRBMathUD60x18__LogInputTooSmall(uint256 x); /// @notice Emitted when the calculating the square root overflows UD60x18. error PRBMathUD60x18__SqrtOverflow(uint256 x); /// @notice Emitted when subtraction underflows UD60x18. error PRBMathUD60x18__SubUnderflow(uint256 x, uint256 y); /// @dev Common mathematical functions used in both PRBMathSD59x18 and PRBMathUD60x18. Note that this shared library /// does not always assume the signed 59.18-decimal fixed-point or the unsigned 60.18-decimal fixed-point /// representation. When it does not, it is explicitly mentioned in the NatSpec documentation. library PRBMath { /// STRUCTS /// struct SD59x18 { int256 value; } struct UD60x18 { uint256 value; } /// STORAGE /// /// @dev How many trailing decimals can be represented. uint256 internal constant SCALE = 1e18; /// @dev Largest power of two divisor of SCALE. uint256 internal constant SCALE_LPOTD = 262144; /// @dev SCALE inverted mod 2^256. uint256 internal constant SCALE_INVERSE = 78156646155174841979727994598816262306175212592076161876661508869554232690281; /// FUNCTIONS /// /// @notice Calculates the binary exponent of x using the binary fraction method. /// @dev Has to use 192.64-bit fixed-point numbers. /// See https://ethereum.stackexchange.com/a/96594/24693. /// @param x The exponent as an unsigned 192.64-bit fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function exp2(uint256 x) internal pure returns (uint256 result) { unchecked { // Start from 0.5 in the 192.64-bit fixed-point format. result = 0x800000000000000000000000000000000000000000000000; // Multiply the result by root(2, 2^-i) when the bit at position i is 1. None of the intermediary results overflows // because the initial result is 2^191 and all magic factors are less than 2^65. if (x & 0x8000000000000000 > 0) { result = (result * 0x16A09E667F3BCC909) >> 64; } if (x & 0x4000000000000000 > 0) { result = (result * 0x1306FE0A31B7152DF) >> 64; } if (x & 0x2000000000000000 > 0) { result = (result * 0x1172B83C7D517ADCE) >> 64; } if (x & 0x1000000000000000 > 0) { result = (result * 0x10B5586CF9890F62A) >> 64; } if (x & 0x800000000000000 > 0) { result = (result * 0x1059B0D31585743AE) >> 64; } if (x & 0x400000000000000 > 0) { result = (result * 0x102C9A3E778060EE7) >> 64; } if (x & 0x200000000000000 > 0) { result = (result * 0x10163DA9FB33356D8) >> 64; } if (x & 0x100000000000000 > 0) { result = (result * 0x100B1AFA5ABCBED61) >> 64; } if (x & 0x80000000000000 > 0) { result = (result * 0x10058C86DA1C09EA2) >> 64; } if (x & 0x40000000000000 > 0) { result = (result * 0x1002C605E2E8CEC50) >> 64; } if (x & 0x20000000000000 > 0) { result = (result * 0x100162F3904051FA1) >> 64; } if (x & 0x10000000000000 > 0) { result = (result * 0x1000B175EFFDC76BA) >> 64; } if (x & 0x8000000000000 > 0) { result = (result * 0x100058BA01FB9F96D) >> 64; } if (x & 0x4000000000000 > 0) { result = (result * 0x10002C5CC37DA9492) >> 64; } if (x & 0x2000000000000 > 0) { result = (result * 0x1000162E525EE0547) >> 64; } if (x & 0x1000000000000 > 0) { result = (result * 0x10000B17255775C04) >> 64; } if (x & 0x800000000000 > 0) { result = (result * 0x1000058B91B5BC9AE) >> 64; } if (x & 0x400000000000 > 0) { result = (result * 0x100002C5C89D5EC6D) >> 64; } if (x & 0x200000000000 > 0) { result = (result * 0x10000162E43F4F831) >> 64; } if (x & 0x100000000000 > 0) { result = (result * 0x100000B1721BCFC9A) >> 64; } if (x & 0x80000000000 > 0) { result = (result * 0x10000058B90CF1E6E) >> 64; } if (x & 0x40000000000 > 0) { result = (result * 0x1000002C5C863B73F) >> 64; } if (x & 0x20000000000 > 0) { result = (result * 0x100000162E430E5A2) >> 64; } if (x & 0x10000000000 > 0) { result = (result * 0x1000000B172183551) >> 64; } if (x & 0x8000000000 > 0) { result = (result * 0x100000058B90C0B49) >> 64; } if (x & 0x4000000000 > 0) { result = (result * 0x10000002C5C8601CC) >> 64; } if (x & 0x2000000000 > 0) { result = (result * 0x1000000162E42FFF0) >> 64; } if (x & 0x1000000000 > 0) { result = (result * 0x10000000B17217FBB) >> 64; } if (x & 0x800000000 > 0) { result = (result * 0x1000000058B90BFCE) >> 64; } if (x & 0x400000000 > 0) { result = (result * 0x100000002C5C85FE3) >> 64; } if (x & 0x200000000 > 0) { result = (result * 0x10000000162E42FF1) >> 64; } if (x & 0x100000000 > 0) { result = (result * 0x100000000B17217F8) >> 64; } if (x & 0x80000000 > 0) { result = (result * 0x10000000058B90BFC) >> 64; } if (x & 0x40000000 > 0) { result = (result * 0x1000000002C5C85FE) >> 64; } if (x & 0x20000000 > 0) { result = (result * 0x100000000162E42FF) >> 64; } if (x & 0x10000000 > 0) { result = (result * 0x1000000000B17217F) >> 64; } if (x & 0x8000000 > 0) { result = (result * 0x100000000058B90C0) >> 64; } if (x & 0x4000000 > 0) { result = (result * 0x10000000002C5C860) >> 64; } if (x & 0x2000000 > 0) { result = (result * 0x1000000000162E430) >> 64; } if (x & 0x1000000 > 0) { result = (result * 0x10000000000B17218) >> 64; } if (x & 0x800000 > 0) { result = (result * 0x1000000000058B90C) >> 64; } if (x & 0x400000 > 0) { result = (result * 0x100000000002C5C86) >> 64; } if (x & 0x200000 > 0) { result = (result * 0x10000000000162E43) >> 64; } if (x & 0x100000 > 0) { result = (result * 0x100000000000B1721) >> 64; } if (x & 0x80000 > 0) { result = (result * 0x10000000000058B91) >> 64; } if (x & 0x40000 > 0) { result = (result * 0x1000000000002C5C8) >> 64; } if (x & 0x20000 > 0) { result = (result * 0x100000000000162E4) >> 64; } if (x & 0x10000 > 0) { result = (result * 0x1000000000000B172) >> 64; } if (x & 0x8000 > 0) { result = (result * 0x100000000000058B9) >> 64; } if (x & 0x4000 > 0) { result = (result * 0x10000000000002C5D) >> 64; } if (x & 0x2000 > 0) { result = (result * 0x1000000000000162E) >> 64; } if (x & 0x1000 > 0) { result = (result * 0x10000000000000B17) >> 64; } if (x & 0x800 > 0) { result = (result * 0x1000000000000058C) >> 64; } if (x & 0x400 > 0) { result = (result * 0x100000000000002C6) >> 64; } if (x & 0x200 > 0) { result = (result * 0x10000000000000163) >> 64; } if (x & 0x100 > 0) { result = (result * 0x100000000000000B1) >> 64; } if (x & 0x80 > 0) { result = (result * 0x10000000000000059) >> 64; } if (x & 0x40 > 0) { result = (result * 0x1000000000000002C) >> 64; } if (x & 0x20 > 0) { result = (result * 0x10000000000000016) >> 64; } if (x & 0x10 > 0) { result = (result * 0x1000000000000000B) >> 64; } if (x & 0x8 > 0) { result = (result * 0x10000000000000006) >> 64; } if (x & 0x4 > 0) { result = (result * 0x10000000000000003) >> 64; } if (x & 0x2 > 0) { result = (result * 0x10000000000000001) >> 64; } if (x & 0x1 > 0) { result = (result * 0x10000000000000001) >> 64; } // We're doing two things at the same time: // // 1. Multiply the result by 2^n + 1, where "2^n" is the integer part and the one is added to account for // the fact that we initially set the result to 0.5. This is accomplished by subtracting from 191 // rather than 192. // 2. Convert the result to the unsigned 60.18-decimal fixed-point format. // // This works because 2^(191-ip) = 2^ip / 2^191, where "ip" is the integer part "2^n". result *= SCALE; result >>= (191 - (x >> 64)); } } /// @notice Finds the zero-based index of the first one in the binary representation of x. /// @dev See the note on msb in the "Find First Set" Wikipedia article https://en.wikipedia.org/wiki/Find_first_set /// @param x The uint256 number for which to find the index of the most significant bit. /// @return msb The index of the most significant bit as an uint256. function mostSignificantBit(uint256 x) internal pure returns (uint256 msb) { if (x >= 2**128) { x >>= 128; msb += 128; } if (x >= 2**64) { x >>= 64; msb += 64; } if (x >= 2**32) { x >>= 32; msb += 32; } if (x >= 2**16) { x >>= 16; msb += 16; } if (x >= 2**8) { x >>= 8; msb += 8; } if (x >= 2**4) { x >>= 4; msb += 4; } if (x >= 2**2) { x >>= 2; msb += 2; } if (x >= 2**1) { // No need to shift x any more. msb += 1; } } /// @notice Calculates floor(x*y÷denominator) with full precision. /// /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv. /// /// Requirements: /// - The denominator cannot be zero. /// - The result must fit within uint256. /// /// Caveats: /// - This function does not work with fixed-point numbers. /// /// @param x The multiplicand as an uint256. /// @param y The multiplier as an uint256. /// @param denominator The divisor as an uint256. /// @return result The result as an uint256. function mulDiv( uint256 x, uint256 y, uint256 denominator ) internal pure returns (uint256 result) { // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256 // variables such that product = prod1 * 2^256 + prod0. uint256 prod0; // Least significant 256 bits of the product uint256 prod1; // Most significant 256 bits of the product assembly { let mm := mulmod(x, y, not(0)) prod0 := mul(x, y) prod1 := sub(sub(mm, prod0), lt(mm, prod0)) } // Handle non-overflow cases, 256 by 256 division. if (prod1 == 0) { unchecked { result = prod0 / denominator; } return result; } // Make sure the result is less than 2^256. Also prevents denominator == 0. if (prod1 >= denominator) { revert PRBMath__MulDivOverflow(prod1, denominator); } /////////////////////////////////////////////// // 512 by 256 division. /////////////////////////////////////////////// // Make division exact by subtracting the remainder from [prod1 prod0]. uint256 remainder; assembly { // Compute remainder using mulmod. remainder := mulmod(x, y, denominator) // Subtract 256 bit number from 512 bit number. prod1 := sub(prod1, gt(remainder, prod0)) prod0 := sub(prod0, remainder) } // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1. // See https://cs.stackexchange.com/q/138556/92363. unchecked { // Does not overflow because the denominator cannot be zero at this stage in the function. uint256 lpotdod = denominator & (~denominator + 1); assembly { // Divide denominator by lpotdod. denominator := div(denominator, lpotdod) // Divide [prod1 prod0] by lpotdod. prod0 := div(prod0, lpotdod) // Flip lpotdod such that it is 2^256 / lpotdod. If lpotdod is zero, then it becomes one. lpotdod := add(div(sub(0, lpotdod), lpotdod), 1) } // Shift in bits from prod1 into prod0. prod0 |= prod1 * lpotdod; // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for // four bits. That is, denominator * inv = 1 mod 2^4. uint256 inverse = (3 * denominator) ^ 2; // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works // in modular arithmetic, doubling the correct bits in each step. inverse *= 2 - denominator * inverse; // inverse mod 2^8 inverse *= 2 - denominator * inverse; // inverse mod 2^16 inverse *= 2 - denominator * inverse; // inverse mod 2^32 inverse *= 2 - denominator * inverse; // inverse mod 2^64 inverse *= 2 - denominator * inverse; // inverse mod 2^128 inverse *= 2 - denominator * inverse; // inverse mod 2^256 // Because the division is now exact we can divide by multiplying with the modular inverse of denominator. // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1 // is no longer required. result = prod0 * inverse; return result; } } /// @notice Calculates floor(x*y÷1e18) with full precision. /// /// @dev Variant of "mulDiv" with constant folding, i.e. in which the denominator is always 1e18. Before returning the /// final result, we add 1 if (x * y) % SCALE >= HALF_SCALE. Without this, 6.6e-19 would be truncated to 0 instead of /// being rounded to 1e-18. See "Listing 6" and text above it at https://accu.org/index.php/journals/1717. /// /// Requirements: /// - The result must fit within uint256. /// /// Caveats: /// - The body is purposely left uncommented; see the NatSpec comments in "PRBMath.mulDiv" to understand how this works. /// - It is assumed that the result can never be type(uint256).max when x and y solve the following two equations: /// 1. x * y = type(uint256).max * SCALE /// 2. (x * y) % SCALE >= SCALE / 2 /// /// @param x The multiplicand as an unsigned 60.18-decimal fixed-point number. /// @param y The multiplier as an unsigned 60.18-decimal fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function mulDivFixedPoint(uint256 x, uint256 y) internal pure returns (uint256 result) { uint256 prod0; uint256 prod1; assembly { let mm := mulmod(x, y, not(0)) prod0 := mul(x, y) prod1 := sub(sub(mm, prod0), lt(mm, prod0)) } if (prod1 >= SCALE) { revert PRBMath__MulDivFixedPointOverflow(prod1); } uint256 remainder; uint256 roundUpUnit; assembly { remainder := mulmod(x, y, SCALE) roundUpUnit := gt(remainder, 499999999999999999) } if (prod1 == 0) { unchecked { result = (prod0 / SCALE) + roundUpUnit; return result; } } assembly { result := add( mul( or( div(sub(prod0, remainder), SCALE_LPOTD), mul(sub(prod1, gt(remainder, prod0)), add(div(sub(0, SCALE_LPOTD), SCALE_LPOTD), 1)) ), SCALE_INVERSE ), roundUpUnit ) } } /// @notice Calculates floor(x*y÷denominator) with full precision. /// /// @dev An extension of "mulDiv" for signed numbers. Works by computing the signs and the absolute values separately. /// /// Requirements: /// - None of the inputs can be type(int256).min. /// - The result must fit within int256. /// /// @param x The multiplicand as an int256. /// @param y The multiplier as an int256. /// @param denominator The divisor as an int256. /// @return result The result as an int256. function mulDivSigned( int256 x, int256 y, int256 denominator ) internal pure returns (int256 result) { if (x == type(int256).min || y == type(int256).min || denominator == type(int256).min) { revert PRBMath__MulDivSignedInputTooSmall(); } // Get hold of the absolute values of x, y and the denominator. uint256 ax; uint256 ay; uint256 ad; unchecked { ax = x < 0 ? uint256(-x) : uint256(x); ay = y < 0 ? uint256(-y) : uint256(y); ad = denominator < 0 ? uint256(-denominator) : uint256(denominator); } // Compute the absolute value of (x*y)÷denominator. The result must fit within int256. uint256 rAbs = mulDiv(ax, ay, ad); if (rAbs > uint256(type(int256).max)) { revert PRBMath__MulDivSignedOverflow(rAbs); } // Get the signs of x, y and the denominator. uint256 sx; uint256 sy; uint256 sd; assembly { sx := sgt(x, sub(0, 1)) sy := sgt(y, sub(0, 1)) sd := sgt(denominator, sub(0, 1)) } // XOR over sx, sy and sd. This is checking whether there are one or three negative signs in the inputs. // If yes, the result should be negative. result = sx ^ sy ^ sd == 0 ? -int256(rAbs) : int256(rAbs); } /// @notice Calculates the square root of x, rounding down. /// @dev Uses the Babylonian method https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method. /// /// Caveats: /// - This function does not work with fixed-point numbers. /// /// @param x The uint256 number for which to calculate the square root. /// @return result The result as an uint256. function sqrt(uint256 x) internal pure returns (uint256 result) { if (x == 0) { return 0; } // Set the initial guess to the closest power of two that is higher than x. uint256 xAux = uint256(x); result = 1; if (xAux >= 0x100000000000000000000000000000000) { xAux >>= 128; result <<= 64; } if (xAux >= 0x10000000000000000) { xAux >>= 64; result <<= 32; } if (xAux >= 0x100000000) { xAux >>= 32; result <<= 16; } if (xAux >= 0x10000) { xAux >>= 16; result <<= 8; } if (xAux >= 0x100) { xAux >>= 8; result <<= 4; } if (xAux >= 0x10) { xAux >>= 4; result <<= 2; } if (xAux >= 0x8) { result <<= 1; } // The operations can never overflow because the result is max 2^127 when it enters this block. unchecked { result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; // Seven iterations should be enough uint256 roundedDownResult = x / result; return result >= roundedDownResult ? roundedDownResult : result; } } } // File: prb-math/contracts/PRBMathUD60x18.sol pragma solidity >=0.8.4; /// @title PRBMathUD60x18 /// @author Paul Razvan Berg /// @notice Smart contract library for advanced fixed-point math that works with uint256 numbers considered to have 18 /// trailing decimals. We call this number representation unsigned 60.18-decimal fixed-point, since there can be up to 60 /// digits in the integer part and up to 18 decimals in the fractional part. The numbers are bound by the minimum and the /// maximum values permitted by the Solidity type uint256. library PRBMathUD60x18 { /// @dev Half the SCALE number. uint256 internal constant HALF_SCALE = 5e17; /// @dev log2(e) as an unsigned 60.18-decimal fixed-point number. uint256 internal constant LOG2_E = 1442695040888963407; /// @dev The maximum value an unsigned 60.18-decimal fixed-point number can have. uint256 internal constant MAX_UD60x18 = 115792089237316195423570985008687907853269984665640564039457584007913129639935; /// @dev The maximum whole value an unsigned 60.18-decimal fixed-point number can have. uint256 internal constant MAX_WHOLE_UD60x18 = 115792089237316195423570985008687907853269984665640564039457000000000000000000; /// @dev How many trailing decimals can be represented. uint256 internal constant SCALE = 1e18; /// @notice Calculates arithmetic average of x and y, rounding down. /// @param x The first operand as an unsigned 60.18-decimal fixed-point number. /// @param y The second operand as an unsigned 60.18-decimal fixed-point number. /// @return result The arithmetic average as an unsigned 60.18-decimal fixed-point number. function avg(uint256 x, uint256 y) internal pure returns (uint256 result) { // The operations can never overflow. unchecked { // The last operand checks if both x and y are odd and if that is the case, we add 1 to the result. We need // to do this because if both numbers are odd, the 0.5 remainder gets truncated twice. result = (x >> 1) + (y >> 1) + (x & y & 1); } } /// @notice Yields the least unsigned 60.18 decimal fixed-point number greater than or equal to x. /// /// @dev Optimized for fractional value inputs, because for every whole value there are (1e18 - 1) fractional counterparts. /// See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions. /// /// Requirements: /// - x must be less than or equal to MAX_WHOLE_UD60x18. /// /// @param x The unsigned 60.18-decimal fixed-point number to ceil. /// @param result The least integer greater than or equal to x, as an unsigned 60.18-decimal fixed-point number. function ceil(uint256 x) internal pure returns (uint256 result) { if (x > MAX_WHOLE_UD60x18) { revert PRBMathUD60x18__CeilOverflow(x); } assembly { // Equivalent to "x % SCALE" but faster. let remainder := mod(x, SCALE) // Equivalent to "SCALE - remainder" but faster. let delta := sub(SCALE, remainder) // Equivalent to "x + delta * (remainder > 0 ? 1 : 0)" but faster. result := add(x, mul(delta, gt(remainder, 0))) } } /// @notice Divides two unsigned 60.18-decimal fixed-point numbers, returning a new unsigned 60.18-decimal fixed-point number. /// /// @dev Uses mulDiv to enable overflow-safe multiplication and division. /// /// Requirements: /// - The denominator cannot be zero. /// /// @param x The numerator as an unsigned 60.18-decimal fixed-point number. /// @param y The denominator as an unsigned 60.18-decimal fixed-point number. /// @param result The quotient as an unsigned 60.18-decimal fixed-point number. function div(uint256 x, uint256 y) internal pure returns (uint256 result) { result = PRBMath.mulDiv(x, SCALE, y); } /// @notice Returns Euler's number as an unsigned 60.18-decimal fixed-point number. /// @dev See https://en.wikipedia.org/wiki/E_(mathematical_constant). function e() internal pure returns (uint256 result) { result = 2718281828459045235; } /// @notice Calculates the natural exponent of x. /// /// @dev Based on the insight that e^x = 2^(x * log2(e)). /// /// Requirements: /// - All from "log2". /// - x must be less than 133.084258667509499441. /// /// @param x The exponent as an unsigned 60.18-decimal fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function exp(uint256 x) internal pure returns (uint256 result) { // Without this check, the value passed to "exp2" would be greater than 192. if (x >= 133084258667509499441) { revert PRBMathUD60x18__ExpInputTooBig(x); } // Do the fixed-point multiplication inline to save gas. unchecked { uint256 doubleScaleProduct = x * LOG2_E; result = exp2((doubleScaleProduct + HALF_SCALE) / SCALE); } } /// @notice Calculates the binary exponent of x using the binary fraction method. /// /// @dev See https://ethereum.stackexchange.com/q/79903/24693. /// /// Requirements: /// - x must be 192 or less. /// - The result must fit within MAX_UD60x18. /// /// @param x The exponent as an unsigned 60.18-decimal fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function exp2(uint256 x) internal pure returns (uint256 result) { // 2^192 doesn't fit within the 192.64-bit format used internally in this function. if (x >= 192e18) { revert PRBMathUD60x18__Exp2InputTooBig(x); } unchecked { // Convert x to the 192.64-bit fixed-point format. uint256 x192x64 = (x << 64) / SCALE; // Pass x to the PRBMath.exp2 function, which uses the 192.64-bit fixed-point number representation. result = PRBMath.exp2(x192x64); } } /// @notice Yields the greatest unsigned 60.18 decimal fixed-point number less than or equal to x. /// @dev Optimized for fractional value inputs, because for every whole value there are (1e18 - 1) fractional counterparts. /// See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions. /// @param x The unsigned 60.18-decimal fixed-point number to floor. /// @param result The greatest integer less than or equal to x, as an unsigned 60.18-decimal fixed-point number. function floor(uint256 x) internal pure returns (uint256 result) { assembly { // Equivalent to "x % SCALE" but faster. let remainder := mod(x, SCALE) // Equivalent to "x - remainder * (remainder > 0 ? 1 : 0)" but faster. result := sub(x, mul(remainder, gt(remainder, 0))) } } /// @notice Yields the excess beyond the floor of x. /// @dev Based on the odd function definition https://en.wikipedia.org/wiki/Fractional_part. /// @param x The unsigned 60.18-decimal fixed-point number to get the fractional part of. /// @param result The fractional part of x as an unsigned 60.18-decimal fixed-point number. function frac(uint256 x) internal pure returns (uint256 result) { assembly { result := mod(x, SCALE) } } /// @notice Converts a number from basic integer form to unsigned 60.18-decimal fixed-point representation. /// /// @dev Requirements: /// - x must be less than or equal to MAX_UD60x18 divided by SCALE. /// /// @param x The basic integer to convert. /// @param result The same number in unsigned 60.18-decimal fixed-point representation. function fromUint(uint256 x) internal pure returns (uint256 result) { unchecked { if (x > MAX_UD60x18 / SCALE) { revert PRBMathUD60x18__FromUintOverflow(x); } result = x * SCALE; } } /// @notice Calculates geometric mean of x and y, i.e. sqrt(x * y), rounding down. /// /// @dev Requirements: /// - x * y must fit within MAX_UD60x18, lest it overflows. /// /// @param x The first operand as an unsigned 60.18-decimal fixed-point number. /// @param y The second operand as an unsigned 60.18-decimal fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function gm(uint256 x, uint256 y) internal pure returns (uint256 result) { if (x == 0) { return 0; } unchecked { // Checking for overflow this way is faster than letting Solidity do it. uint256 xy = x * y; if (xy / x != y) { revert PRBMathUD60x18__GmOverflow(x, y); } // We don't need to multiply by the SCALE here because the x*y product had already picked up a factor of SCALE // during multiplication. See the comments within the "sqrt" function. result = PRBMath.sqrt(xy); } } /// @notice Calculates 1 / x, rounding towards zero. /// /// @dev Requirements: /// - x cannot be zero. /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the inverse. /// @return result The inverse as an unsigned 60.18-decimal fixed-point number. function inv(uint256 x) internal pure returns (uint256 result) { unchecked { // 1e36 is SCALE * SCALE. result = 1e36 / x; } } /// @notice Calculates the natural logarithm of x. /// /// @dev Based on the insight that ln(x) = log2(x) / log2(e). /// /// Requirements: /// - All from "log2". /// /// Caveats: /// - All from "log2". /// - This doesn't return exactly 1 for 2.718281828459045235, for that we would need more fine-grained precision. /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the natural logarithm. /// @return result The natural logarithm as an unsigned 60.18-decimal fixed-point number. function ln(uint256 x) internal pure returns (uint256 result) { // Do the fixed-point multiplication inline to save gas. This is overflow-safe because the maximum value that log2(x) // can return is 196205294292027477728. unchecked { result = (log2(x) * SCALE) / LOG2_E; } } /// @notice Calculates the common logarithm of x. /// /// @dev First checks if x is an exact power of ten and it stops if yes. If it's not, calculates the common /// logarithm based on the insight that log10(x) = log2(x) / log2(10). /// /// Requirements: /// - All from "log2". /// /// Caveats: /// - All from "log2". /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the common logarithm. /// @return result The common logarithm as an unsigned 60.18-decimal fixed-point number. function log10(uint256 x) internal pure returns (uint256 result) { if (x < SCALE) { revert PRBMathUD60x18__LogInputTooSmall(x); } // Note that the "mul" in this block is the assembly multiplication operation, not the "mul" function defined // in this contract. // prettier-ignore assembly { switch x case 1 { result := mul(SCALE, sub(0, 18)) } case 10 { result := mul(SCALE, sub(1, 18)) } case 100 { result := mul(SCALE, sub(2, 18)) } case 1000 { result := mul(SCALE, sub(3, 18)) } case 10000 { result := mul(SCALE, sub(4, 18)) } case 100000 { result := mul(SCALE, sub(5, 18)) } case 1000000 { result := mul(SCALE, sub(6, 18)) } case 10000000 { result := mul(SCALE, sub(7, 18)) } case 100000000 { result := mul(SCALE, sub(8, 18)) } case 1000000000 { result := mul(SCALE, sub(9, 18)) } case 10000000000 { result := mul(SCALE, sub(10, 18)) } case 100000000000 { result := mul(SCALE, sub(11, 18)) } case 1000000000000 { result := mul(SCALE, sub(12, 18)) } case 10000000000000 { result := mul(SCALE, sub(13, 18)) } case 100000000000000 { result := mul(SCALE, sub(14, 18)) } case 1000000000000000 { result := mul(SCALE, sub(15, 18)) } case 10000000000000000 { result := mul(SCALE, sub(16, 18)) } case 100000000000000000 { result := mul(SCALE, sub(17, 18)) } case 1000000000000000000 { result := 0 } case 10000000000000000000 { result := SCALE } case 100000000000000000000 { result := mul(SCALE, 2) } case 1000000000000000000000 { result := mul(SCALE, 3) } case 10000000000000000000000 { result := mul(SCALE, 4) } case 100000000000000000000000 { result := mul(SCALE, 5) } case 1000000000000000000000000 { result := mul(SCALE, 6) } case 10000000000000000000000000 { result := mul(SCALE, 7) } case 100000000000000000000000000 { result := mul(SCALE, 8) } case 1000000000000000000000000000 { result := mul(SCALE, 9) } case 10000000000000000000000000000 { result := mul(SCALE, 10) } case 100000000000000000000000000000 { result := mul(SCALE, 11) } case 1000000000000000000000000000000 { result := mul(SCALE, 12) } case 10000000000000000000000000000000 { result := mul(SCALE, 13) } case 100000000000000000000000000000000 { result := mul(SCALE, 14) } case 1000000000000000000000000000000000 { result := mul(SCALE, 15) } case 10000000000000000000000000000000000 { result := mul(SCALE, 16) } case 100000000000000000000000000000000000 { result := mul(SCALE, 17) } case 1000000000000000000000000000000000000 { result := mul(SCALE, 18) } case 10000000000000000000000000000000000000 { result := mul(SCALE, 19) } case 100000000000000000000000000000000000000 { result := mul(SCALE, 20) } case 1000000000000000000000000000000000000000 { result := mul(SCALE, 21) } case 10000000000000000000000000000000000000000 { result := mul(SCALE, 22) } case 100000000000000000000000000000000000000000 { result := mul(SCALE, 23) } case 1000000000000000000000000000000000000000000 { result := mul(SCALE, 24) } case 10000000000000000000000000000000000000000000 { result := mul(SCALE, 25) } case 100000000000000000000000000000000000000000000 { result := mul(SCALE, 26) } case 1000000000000000000000000000000000000000000000 { result := mul(SCALE, 27) } case 10000000000000000000000000000000000000000000000 { result := mul(SCALE, 28) } case 100000000000000000000000000000000000000000000000 { result := mul(SCALE, 29) } case 1000000000000000000000000000000000000000000000000 { result := mul(SCALE, 30) } case 10000000000000000000000000000000000000000000000000 { result := mul(SCALE, 31) } case 100000000000000000000000000000000000000000000000000 { result := mul(SCALE, 32) } case 1000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 33) } case 10000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 34) } case 100000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 35) } case 1000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 36) } case 10000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 37) } case 100000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 38) } case 1000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 39) } case 10000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 40) } case 100000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 41) } case 1000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 42) } case 10000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 43) } case 100000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 44) } case 1000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 45) } case 10000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 46) } case 100000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 47) } case 1000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 48) } case 10000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 49) } case 100000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 50) } case 1000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 51) } case 10000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 52) } case 100000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 53) } case 1000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 54) } case 10000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 55) } case 100000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 56) } case 1000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 57) } case 10000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 58) } case 100000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(SCALE, 59) } default { result := MAX_UD60x18 } } if (result == MAX_UD60x18) { // Do the fixed-point division inline to save gas. The denominator is log2(10). unchecked { result = (log2(x) * SCALE) / 3321928094887362347; } } } /// @notice Calculates the binary logarithm of x. /// /// @dev Based on the iterative approximation algorithm. /// https://en.wikipedia.org/wiki/Binary_logarithm#Iterative_approximation /// /// Requirements: /// - x must be greater than or equal to SCALE, otherwise the result would be negative. /// /// Caveats: /// - The results are nor perfectly accurate to the last decimal, due to the lossy precision of the iterative approximation. /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the binary logarithm. /// @return result The binary logarithm as an unsigned 60.18-decimal fixed-point number. function log2(uint256 x) internal pure returns (uint256 result) { if (x < SCALE) { revert PRBMathUD60x18__LogInputTooSmall(x); } unchecked { // Calculate the integer part of the logarithm and add it to the result and finally calculate y = x * 2^(-n). uint256 n = PRBMath.mostSignificantBit(x / SCALE); // The integer part of the logarithm as an unsigned 60.18-decimal fixed-point number. The operation can't overflow // because n is maximum 255 and SCALE is 1e18. result = n * SCALE; // This is y = x * 2^(-n). uint256 y = x >> n; // If y = 1, the fractional part is zero. if (y == SCALE) { return result; } // Calculate the fractional part via the iterative approximation. // The "delta >>= 1" part is equivalent to "delta /= 2", but shifting bits is faster. for (uint256 delta = HALF_SCALE; delta > 0; delta >>= 1) { y = (y * y) / SCALE; // Is y^2 > 2 and so in the range [2,4)? if (y >= 2 * SCALE) { // Add the 2^(-m) factor to the logarithm. result += delta; // Corresponds to z/2 on Wikipedia. y >>= 1; } } } } /// @notice Multiplies two unsigned 60.18-decimal fixed-point numbers together, returning a new unsigned 60.18-decimal /// fixed-point number. /// @dev See the documentation for the "PRBMath.mulDivFixedPoint" function. /// @param x The multiplicand as an unsigned 60.18-decimal fixed-point number. /// @param y The multiplier as an unsigned 60.18-decimal fixed-point number. /// @return result The product as an unsigned 60.18-decimal fixed-point number. function mul(uint256 x, uint256 y) internal pure returns (uint256 result) { result = PRBMath.mulDivFixedPoint(x, y); } /// @notice Returns PI as an unsigned 60.18-decimal fixed-point number. function pi() internal pure returns (uint256 result) { result = 3141592653589793238; } /// @notice Raises x to the power of y. /// /// @dev Based on the insight that x^y = 2^(log2(x) * y). /// /// Requirements: /// - All from "exp2", "log2" and "mul". /// /// Caveats: /// - All from "exp2", "log2" and "mul". /// - Assumes 0^0 is 1. /// /// @param x Number to raise to given power y, as an unsigned 60.18-decimal fixed-point number. /// @param y Exponent to raise x to, as an unsigned 60.18-decimal fixed-point number. /// @return result x raised to power y, as an unsigned 60.18-decimal fixed-point number. function pow(uint256 x, uint256 y) internal pure returns (uint256 result) { if (x == 0) { result = y == 0 ? SCALE : uint256(0); } else { result = exp2(mul(log2(x), y)); } } /// @notice Raises x (unsigned 60.18-decimal fixed-point number) to the power of y (basic unsigned integer) using the /// famous algorithm "exponentiation by squaring". /// /// @dev See https://en.wikipedia.org/wiki/Exponentiation_by_squaring /// /// Requirements: /// - The result must fit within MAX_UD60x18. /// /// Caveats: /// - All from "mul". /// - Assumes 0^0 is 1. /// /// @param x The base as an unsigned 60.18-decimal fixed-point number. /// @param y The exponent as an uint256. /// @return result The result as an unsigned 60.18-decimal fixed-point number. function powu(uint256 x, uint256 y) internal pure returns (uint256 result) { // Calculate the first iteration of the loop in advance. result = y & 1 > 0 ? x : SCALE; // Equivalent to "for(y /= 2; y > 0; y /= 2)" but faster. for (y >>= 1; y > 0; y >>= 1) { x = PRBMath.mulDivFixedPoint(x, x); // Equivalent to "y % 2 == 1" but faster. if (y & 1 > 0) { result = PRBMath.mulDivFixedPoint(result, x); } } } /// @notice Returns 1 as an unsigned 60.18-decimal fixed-point number. function scale() internal pure returns (uint256 result) { result = SCALE; } /// @notice Calculates the square root of x, rounding down. /// @dev Uses the Babylonian method https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method. /// /// Requirements: /// - x must be less than MAX_UD60x18 / SCALE. /// /// @param x The unsigned 60.18-decimal fixed-point number for which to calculate the square root. /// @return result The result as an unsigned 60.18-decimal fixed-point . function sqrt(uint256 x) internal pure returns (uint256 result) { unchecked { if (x > MAX_UD60x18 / SCALE) { revert PRBMathUD60x18__SqrtOverflow(x); } // Multiply x by the SCALE to account for the factor of SCALE that is picked up when multiplying two unsigned // 60.18-decimal fixed-point numbers together (in this case, those two numbers are both the square root). result = PRBMath.sqrt(x * SCALE); } } /// @notice Converts a unsigned 60.18-decimal fixed-point number to basic integer form, rounding down in the process. /// @param x The unsigned 60.18-decimal fixed-point number to convert. /// @return result The same number in basic integer form. function toUint(uint256 x) internal pure returns (uint256 result) { unchecked { result = x / SCALE; } } } // File: contracts/MultyOwned.sol pragma solidity >=0.5.0; //import "hardhat/console.sol"; /// @title у контракта несколько владельцев contract MultyOwned { using PRBMathUD60x18 for uint256; uint256 public constant OWNERS_COUNT = 3; // количество владельцев uint256 constant OWNER_PART_0 = 425E15; uint256 constant OWNER_PART_1 = 425E15; uint256 constant OWNER_PART_2 = 150E15; address OWNER_0 = address(0x1d3d6671a8A6650E60802613a3838865a4c260ef); address OWNER_1 = address(0x79E551d8fF2eB3eC04e2d8B83c0714937cF00ECA); address OWNER_2 = address(0xE102c1e0E0DB088ea15f9032b839E9C8cAf92cBC); address[OWNERS_COUNT] _OwnerRequest; // кому предложено стать владельцем кошелька // раскомментировать, перед выполнением тестов /*constructor() { OWNER_0 = msg.sender; }*/ /// @dev модификатор метода, только для владельца контракта modifier onlyOwner() { require(IsOwner(msg.sender), "Only owner can call this function."); _; } /// @dev определяет, является ли указанный адрес владельцем контракта function IsOwner(address account) public view returns (bool) { return account == OWNER_0 || account == OWNER_1 || account == OWNER_2; } /// @dev получает индекс владельца или индекс равный OWNERS_COUNT, если указанный адрес не владелец function GetContractOwner(uint256 index) public view returns (address) { if (index == 0) return OWNER_0; if (index == 1) return OWNER_1; if (index == 2) return OWNER_2; return address(0); } /// @dev выводит владельца с указанным индексом function GetContractOwnerIndex(address account) public view returns (uint8) { if (account == OWNER_0) return 0; if (account == OWNER_1) return 1; if (account == OWNER_2) return 2; return 4; } /// @dev предложить акку стать владельцем function TransferOwnerRequest(address newOwner) public onlyOwner { _OwnerRequest[GetContractOwnerIndex(msg.sender)] = newOwner; } /// @dev принимает запрос на получение права владения function ApplyOwnerRequest() public { if (_OwnerRequest[0] == msg.sender) { OWNER_0 = msg.sender; return; } if (_OwnerRequest[1] == msg.sender) { OWNER_1 = msg.sender; return; } if (_OwnerRequest[2] == msg.sender) { OWNER_2 = msg.sender; return; } } /// @dev донатит разработчикам function Donate() public payable { uint256 sum; // сколько всего отправили uint256 partSum; // передаем 0 разработчику partSum = PRBMathUD60x18.mul(OWNER_PART_0, msg.value); payable(OWNER_0).transfer(partSum); sum += partSum; // передаем 1 разработчику partSum = PRBMathUD60x18.mul(OWNER_PART_1, msg.value); if (sum + partSum > msg.value) { partSum = msg.value - sum; if (partSum > 0) payable(OWNER_1).transfer(partSum); return; } payable(OWNER_1).transfer(partSum); sum += partSum; // передаем 2 разработчику partSum = PRBMathUD60x18.mul(OWNER_PART_2, msg.value); if (sum + partSum > msg.value) { partSum = msg.value - sum; if (partSum > 0) payable(OWNER_2).transfer(partSum); return; } payable(OWNER_2).transfer(partSum); } } // File: contracts/OpenSeaMeta.sol pragma solidity >=0.8.3; /// @title описывает метаданные для Opensea contract OpenSeaMeta is MultyOwned, ERC721Enumerable { address _owner; // овнер - только для openSea и подобных систем string public ContractURI = "https://musicracernft.org/api/globalmeta"; // мета контракта string public BaseURI = "https://musicracernft.org/api/carsmeta/"; // базовый адрес для меты токенов constructor(string memory name_, string memory symbol_) ERC721(name_, symbol_) { _owner = msg.sender; } function owner() public view returns (address) { return _owner; } function SetOwner(address newOwner) public onlyOwner { _owner = newOwner; } /// @dev ссылка на метаданные уровня витрины //function contractURI() public view returns (string memory) { // return ContractURIInternal; //} /// @dev задает адрес меты контракта function SetContractURI(string calldata newContractURI) public onlyOwner { ContractURI = newContractURI; } /// @dev задает новый BaseURI function SetBaseURI(string calldata newBaseURI) public onlyOwner { BaseURI = newBaseURI; } /// @dev используется для вычисления адресов через /// унаследованную функцию tokenURI(uint256 tokenId), который дописывает ID токена вконец function _baseURI() internal view override returns (string memory) { return BaseURI; } } // File: contracts/Car.sol pragma solidity >=0.8.3; /// @title описание формирования начальной цены машины struct PriceData { /// @notice начальная цена 1=0.001 eth uint256 StartPrice; /// @notice конечная цена (когда все продано) 1=0.001 eth uint256 EndPrice; /// @notice тип формирования цены /// 0 - только стартовая цена /// 1 - линейная интерполяция от начальной цены к конечной uint256 PriceType; } /// @title тип части машины struct CarPartType { /// @notice вероятность генерации не нуливого значения 100000=100% uint256 Probability; /// @notice сколько всего частей имеется uint256 Count; } /// @title тип машины struct CarType { /// @notice все типы частей CarPartType[] PartTypes; /// @notice вероятности окрасок 100% будет окраска=100000 uint256[] Colors; /// @notice сколько машин создано uint256 Count; /// @notice максимальное количество генерируемых машин uint256 MaxCount; /// @notice цена минта PriceData Price; /// @notice сколько машин зарезервировано для фабрики (это количество машин не может минтиться с контракта напрямую) uint256 FactoryReserve; /// @notice если истина, то минт машин этого типа возможен bool Enable; } /// @title описание инстанции одной машины struct Car { /// @notice ID типа машины (больше 0, тк 0 это отсуствие типа) uint256 TypeId; /// @notice установленные части машины 0 - часть не задана uint256[] Parts; /// @notice какие цвета в машине включены, а какие нет bool[] ColorsEnable; /// @notice цвета машины uint256[] Colors; } // File: contracts/CarFactory.sol pragma solidity >=0.8.4; /// @title порождает машины contract CarFactory is OpenSeaMeta { using PRBMathUD60x18 for uint256; uint256 PriceMul = 1e15; // 1=0.001 эфира mapping(uint256 => CarType) public CarsTypes; // все типы машин uint256 public CarTypesCount = 0; // общее количество типов машин uint256 _RandNonce = 0; // нонс рандома event NewType(uint256 indexed carType); // когда создается новый тип машины constructor(string memory name_, string memory symbol_) OpenSeaMeta(name_, symbol_) { CarType storage ct = CarsTypes[1]; ct.PartTypes.push(CarPartType(50e3, 83)); ct.PartTypes.push(CarPartType(100e3, 28)); ct.PartTypes.push(CarPartType(50e3, 10)); ct.PartTypes.push(CarPartType(50e3, 11)); ct.PartTypes.push(CarPartType(100e3, 11)); ct.Colors = new uint256[](2); ct.Colors[0] = 100e3; ct.Colors[1] = 50e3; ct.MaxCount = 333; ct.Price = PriceData(132, 330, 1); ct.FactoryReserve = 47; ct.Enable = true; CarTypesCount = 1; emit NewType(CarTypesCount); } /// @dev порождает новую машину указанного типа /// @param carTypeId ID типа машины /// @param carType тип машины function CreateCar(uint256 carTypeId, CarType storage carType) internal returns (Car memory) { // генерируем части машины из ее типа uint256[] memory parts = new uint256[](carType.PartTypes.length); for (uint256 i = 0; i < carType.PartTypes.length; ++i) { CarPartType memory partType = carType.PartTypes[i]; if ((_Random() % 100000) < partType.Probability) parts[i] = 1 + (_Random() % partType.Count); else parts[i] = 0; } // генерация цветов bool[] memory colorsEnable = new bool[](carType.Colors.length); uint256[] memory colors = new uint256[](carType.Colors.length); for (uint256 i = 0; i < carType.Colors.length; ++i) { colorsEnable[i] = (_Random() % 100000) < carType.Colors[i]; if (colorsEnable[i]) colors[i] = RandomColor(); } // создаем машину Car memory newCar = Car(carTypeId, parts, colorsEnable, colors); // увеличиваем счетчик созданных машин carType.Count++; // вывод результата return newCar; } /// @notice function RandomColor() internal returns (uint256) { uint256 r = _Random() % 256; uint256 g = _Random() % 256; uint256 b = _Random() % 256; //uint256 a = _Random() % 256; return b | (g << 8) | (r << 16); // & (a << 24); } function _Random() internal returns (uint256) { uint256 res = uint256( keccak256(abi.encodePacked(msg.sender, _RandNonce, block.timestamp)) ); _RandNonce++; return res; } /// @dev добавляет новый тип машины function AddCarType(CarType calldata newType) public onlyOwner { require( newType.Price.StartPrice <= newType.Price.EndPrice, "car price is incorrect" ); CarTypesCount++; CarsTypes[CarTypesCount] = newType; emit NewType(CarTypesCount); } /// @dev возвращает текущую цену машины /// @param carTypeId Id типа машины function GetPrice(uint256 carTypeId) public view returns (uint256) { return GetPriceAlgorithm(carTypeId) * PriceMul; } /// @dev алгоритм получения ценника function GetPriceAlgorithm(uint256 carTypeId) private view returns (uint256) { CarType memory carType = CarsTypes[carTypeId]; if (carType.Price.PriceType == 0) return carType.Price.StartPrice; if (carType.Price.PriceType == 1) { uint256 f = PRBMathUD60x18.div(carType.Count, carType.MaxCount); return carType.Price.StartPrice + PRBMathUD60x18.mul( f, carType.Price.EndPrice - carType.Price.StartPrice ); } else return carType.Price.StartPrice; } /// @dev возвращает настройки ценообразования минта на определенный тип машин function GetPriceData(uint256 carTypeId) public view returns (PriceData memory) { return CarsTypes[carTypeId].Price; } /// @dev возвращает количество возможных частей машины указанного типа /// @param carTypeId Id типа машины function GetPartsCount(uint256 carTypeId) public view returns (uint256) { return CarsTypes[carTypeId].PartTypes.length; } /// @dev возвращает тип части машины /// @param carTypeId Id типа машины /// @param partIndex индекс части машины function GetPart(uint256 carTypeId, uint256 partIndex) public view returns (CarPartType memory) { return CarsTypes[carTypeId].PartTypes[partIndex]; } } // File: contracts/MusicRacerNFT.sol pragma solidity >=0.8.3; //import "hardhat/console.sol"; /// @title определяет владение машинами contract MusicRacerNFT is CarFactory { mapping(uint256 => Car) public IdToCar; // кэш машин по ID uint256 _CurMintId = 1; // текщий ID токена для минта address public Factory; // фабрика, которая может минтить токены mapping(uint256 => bool) public ChangeCarsBlock; // блоки изменений по типам машин (если true то гарантируется, что эту машину овнер изменить не может) constructor() CarFactory("MusicRacerNFT", "MRCR") {} /// @dev возвращает непосредственно данные машины для конкретного токена function GetCar(uint256 tokenId) public view returns (Car memory) { return IdToCar[tokenId]; } /// @dev возвращает цвет в формате RGB /// @param tokenId id токена /// @param colorIndex индекс цвета function GetCarColorRGB(uint256 tokenId, uint256 colorIndex) public view returns ( bool, // имеется ли цвет uint8, // r uint8, // g uint8 // b ) { Car memory car = GetCar(tokenId); uint256 color = car.Colors[colorIndex]; uint8 b = (uint8)(color & 0xff); color >>= 8; uint8 g = (uint8)(color & 0xff); color >>= 8; uint8 r = (uint8)(color & 0xff); return (car.ColorsEnable[colorIndex], r, g, b); } /// @dev задает адрес фабрики-краудсейла function SetFactory(address newFactory) public onlyOwner { Factory = newFactory; } /// @dev проверка возможности заминтить токен вызывающим адресом function canMint(uint256 carTypeId) external view returns (bool) { return canMintInternal(CarsTypes[carTypeId]); } function canMintInternal(CarType storage carType) internal view returns (bool) { if (msg.sender == Factory) { if (carType.Count >= carType.MaxCount) return false; } else if (carType.Count + carType.FactoryReserve >= carType.MaxCount) return false; if ( msg.sender != address(this) && msg.sender != Factory && !IsOwner(msg.sender) ) return false; return carType.Enable; } /// @dev минтит машину с указанным ID (метод для фабрики) /// @param carTypeId id типа машины /// @param _toAddress кому заминтить function mint(uint256 carTypeId, address _toAddress) external { CarType storage carType = CarsTypes[carTypeId]; require(canMintInternal(carType), "cannot mint car"); IdToCar[_CurMintId] = CreateCar(carTypeId, carType); _mint(_toAddress, _CurMintId); _CurMintId++; if (msg.sender == Factory) --carType.FactoryReserve; } /// @dev производит изначальный минт машин /// @param carTypeId ID типа машины, которую нужно заминтить function MintCar(uint256 carTypeId) public payable { require(msg.value >= GetPrice(carTypeId), "not enough eth"); Donate(); this.mint(carTypeId, msg.sender); } /// @dev изменяет машину /// @param tokenId id токена /// @param newCar новые данные машины function ChangeCar(uint256 tokenId, Car calldata newCar) public onlyOwner { uint256 carTypeId = IdToCar[tokenId].TypeId; require(!ChangeCarsBlock[carTypeId], "cars changes blocked"); IdToCar[tokenId] = newCar; IdToCar[tokenId].TypeId = carTypeId; } /// @dev изменяет настройки генерации машин определенного типа function ChangeCarType(uint256 carTypeId, CarType calldata newTypeData) public onlyOwner { require(!ChangeCarsBlock[carTypeId], "cars changes blocked"); CarsTypes[carTypeId] = newTypeData; } /// @dev изменяет стоимость машины function SetCarPrice(uint256 carTypeId, PriceData calldata newPrice) public onlyOwner { require(!ChangeCarsBlock[carTypeId], "cars changes blocked"); require(newPrice.StartPrice <= newPrice.EndPrice, "price is incorrect"); CarsTypes[carTypeId].Price = newPrice; } /// @dev блокирует изменения определенного типа машин /// @param carTypeId тип машин function BlockCarChanges(uint256 carTypeId) public onlyOwner { ChangeCarsBlock[carTypeId] = true; } /// @dev задает возможность минтить машину указанного типа /// @param carTypeId тип машин /// @param mintEnable можно ли минтить машину function SetMintEnable(uint256 carTypeId, bool mintEnable) public onlyOwner { CarsTypes[carTypeId].Enable = mintEnable; } /// @dev выводит список всех токенов указанного владельца /// @param account на какого владельца выдать список function GetTokensList(address account) public view returns (uint256[] memory) { uint256 count = balanceOf(account); uint256[] memory res = new uint256[](count); for (uint256 i = 0; i < count; ++i) { res[i] = tokenOfOwnerByIndex(account, i); } return res; } }
Contract Security Audit
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Contract Creation Code
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Swarm Source
ipfs://a6ec59f0b4532043f867b838fa0a0b7ded9a917f9c5cff484d9f7962d713bb93
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