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ERC-721
Overview
Max Total Supply
4,444 JESUS
Holders
671
Market
Volume (24H)
N/A
Min Price (24H)
N/A
Max Price (24H)
N/A
Other Info
Token Contract
Balance
30 JESUSLoading...
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# | Exchange | Pair | Price | 24H Volume | % Volume |
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This contract contains unverified libraries: VerifySignature
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Contract Name:
Jesus
Compiler Version
v0.8.7+commit.e28d00a7
Contract Source Code (Solidity)
/** *Submitted for verification at Etherscan.io on 2022-01-05 */ // SPDX-License-Identifier: MIT // File: contracts/Signer.sol pragma solidity ^0.8.3; /* Signature Verification How to Sign and Verify # Signing 1. Create message to sign 2. Hash the message 3. Sign the hash (off chain, keep your private key secret) # Verify 1. Recreate hash from the original message 2. Recover signer from signature and hash 3. Compare recovered signer to claimed signer */ library VerifySignature { /* 1. Unlock MetaMask account ethereum.enable() */ /* 2. Get message hash to sign getMessageHash( 0x14723A09ACff6D2A60DcdF7aA4AFf308FDDC160C, 123, "coffee and donuts", 1 ) hash = "0xcf36ac4f97dc10d91fc2cbb20d718e94a8cbfe0f82eaedc6a4aa38946fb797cd" */ function getMessageHash( address _minter, uint _quantity, uint _nonce ) public pure returns (bytes32) { return keccak256(abi.encodePacked(_minter, _quantity, _nonce)); } /* 3. Sign message hash # using browser account = "copy paste account of signer here" ethereum.request({ method: "personal_sign", params: [account, hash]}).then(console.log) # using web3 web3.personal.sign(hash, web3.eth.defaultAccount, console.log) Signature will be different for different accounts 0x993dab3dd91f5c6dc28e17439be475478f5635c92a56e17e82349d3fb2f166196f466c0b4e0c146f285204f0dcb13e5ae67bc33f4b888ec32dfe0a063e8f3f781b */ function getEthSignedMessageHash(bytes32 _messageHash) public pure returns (bytes32) { /* Signature is produced by signing a keccak256 hash with the following format: "\x19Ethereum Signed Message\n" + len(msg) + msg */ return keccak256( abi.encodePacked("\x19Ethereum Signed Message:\n32", _messageHash) ); } /* 4. Verify signature signer = 0xB273216C05A8c0D4F0a4Dd0d7Bae1D2EfFE636dd to = 0x14723A09ACff6D2A60DcdF7aA4AFf308FDDC160C amount = 123 message = "coffee and donuts" nonce = 1 signature = 0x993dab3dd91f5c6dc28e17439be475478f5635c92a56e17e82349d3fb2f166196f466c0b4e0c146f285204f0dcb13e5ae67bc33f4b888ec32dfe0a063e8f3f781b */ function verify( address _signer, address _minter, uint _quantity, uint _nonce, bytes memory signature ) public pure returns (bool) { bytes32 messageHash = getMessageHash(_minter, _quantity, _nonce); bytes32 ethSignedMessageHash = getEthSignedMessageHash(messageHash); return recoverSigner(ethSignedMessageHash, signature) == _signer; } function recoverSigner(bytes32 _ethSignedMessageHash, bytes memory _signature) public pure returns (address) { (bytes32 r, bytes32 s, uint8 v) = splitSignature(_signature); return ecrecover(_ethSignedMessageHash, v, r, s); } function splitSignature(bytes memory sig) public pure returns ( bytes32 r, bytes32 s, uint8 v ) { require(sig.length == 65, "invalid signature length"); assembly { /* First 32 bytes stores the length of the signature add(sig, 32) = pointer of sig + 32 effectively, skips first 32 bytes of signature mload(p) loads next 32 bytes starting at the memory address p into memory */ // first 32 bytes, after the length prefix r := mload(add(sig, 32)) // second 32 bytes s := mload(add(sig, 64)) // final byte (first byte of the next 32 bytes) v := byte(0, mload(add(sig, 96))) } // implicitly return (r, s, v) } } // File: @openzeppelin/contracts/security/ReentrancyGuard.sol pragma solidity ^0.8.0; /** * @dev Contract module that helps prevent reentrant calls to a function. * * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier * available, which can be applied to functions to make sure there are no nested * (reentrant) calls to them. * * Note that because there is a single `nonReentrant` guard, functions marked as * `nonReentrant` may not call one another. This can be worked around by making * those functions `private`, and then adding `external` `nonReentrant` entry * points to them. * * TIP: If you would like to learn more about reentrancy and alternative ways * to protect against it, check out our blog post * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul]. */ abstract contract ReentrancyGuard { // Booleans are more expensive than uint256 or any type that takes up a full // word because each write operation emits an extra SLOAD to first read the // slot's contents, replace the bits taken up by the boolean, and then write // back. This is the compiler's defense against contract upgrades and // pointer aliasing, and it cannot be disabled. // The values being non-zero value makes deployment a bit more expensive, // but in exchange the refund on every call to nonReentrant will be lower in // amount. Since refunds are capped to a percentage of the total // transaction's gas, it is best to keep them low in cases like this one, to // increase the likelihood of the full refund coming into effect. uint256 private constant _NOT_ENTERED = 1; uint256 private constant _ENTERED = 2; uint256 private _status; constructor() { _status = _NOT_ENTERED; } /** * @dev Prevents a contract from calling itself, directly or indirectly. * Calling a `nonReentrant` function from another `nonReentrant` * function is not supported. It is possible to prevent this from happening * by making the `nonReentrant` function external, and make it call a * `private` function that does the actual work. */ modifier nonReentrant() { // On the first call to nonReentrant, _notEntered will be true require(_status != _ENTERED, "ReentrancyGuard: reentrant call"); // Any calls to nonReentrant after this point will fail _status = _ENTERED; _; // By storing the original value once again, a refund is triggered (see // https://eips.ethereum.org/EIPS/eip-2200) _status = _NOT_ENTERED; } } // 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: contracts/access/DeveloperAccess.sol pragma solidity ^0.8.0; /** * @dev Contract module which provides a basic access control mechanism, where * there is an account (an developer) that can be granted exclusive access to * specific functions. * * By default, the developer account will be the one that deploys the contract. This * can later be changed with {transferDevelopership}. * * This module is used through inheritance. It will make available the modifier * `onlyDeveloper`, which can be applied to your functions to restrict their use to * the developer. */ abstract contract DeveloperAccess is Context { address private _developer; event DevelopershipTransferred(address indexed previousDeveloper, address indexed newDeveloper); /** * @dev Initializes the contract setting the deployer as the initial developer. */ constructor(address dev) { _setDeveloper(dev); } /** * @dev Returns the address of the current developer. */ function developer() public view virtual returns (address) { return _developer; } /** * @dev Throws if called by any account other than the developer. */ modifier onlyDeveloper() { require(developer() == _msgSender(), "Ownable: caller is not the developer"); _; } /** * @dev Leaves the contract without developer. It will not be possible to call * `onlyDeveloper` functions anymore. Can only be called by the current developer. * * NOTE: Renouncing developership will leave the contract without an developer, * thereby removing any functionality that is only available to the developer. */ function renounceDevelopership() public virtual onlyDeveloper { _setDeveloper(address(0)); } /** * @dev Transfers developership of the contract to a new account (`newDeveloper`). * Can only be called by the current developer. */ function transferDevelopership(address newDeveloper) public virtual onlyDeveloper { require(newDeveloper != address(0), "Ownable: new developer is the zero address"); _setDeveloper(newDeveloper); } function _setDeveloper(address newDeveloper) private { address oldDeveloper = _developer; _developer = newDeveloper; emit DevelopershipTransferred(oldDeveloper, newDeveloper); } } // File: @openzeppelin/contracts/access/Ownable.sol pragma solidity ^0.8.0; /** * @dev Contract module which provides a basic access control mechanism, where * there is an account (an owner) that can be granted exclusive access to * specific functions. * * By default, the owner account will be the one that deploys the contract. This * can later be changed with {transferOwnership}. * * This module is used through inheritance. It will make available the modifier * `onlyOwner`, which can be applied to your functions to restrict their use to * the owner. */ abstract contract Ownable is Context { address private _owner; event OwnershipTransferred(address indexed previousOwner, address indexed newOwner); /** * @dev Initializes the contract setting the deployer as the initial owner. */ constructor() { _setOwner(_msgSender()); } /** * @dev Returns the address of the current owner. */ function owner() public view virtual returns (address) { return _owner; } /** * @dev Throws if called by any account other than the owner. */ modifier onlyOwner() { require(owner() == _msgSender(), "Ownable: caller is not the owner"); _; } /** * @dev Leaves the contract without owner. It will not be possible to call * `onlyOwner` functions anymore. Can only be called by the current owner. * * NOTE: Renouncing ownership will leave the contract without an owner, * thereby removing any functionality that is only available to the owner. */ function renounceOwnership() public virtual onlyOwner { _setOwner(address(0)); } /** * @dev Transfers ownership of the contract to a new account (`newOwner`). * Can only be called by the current owner. */ function transferOwnership(address newOwner) public virtual onlyOwner { require(newOwner != address(0), "Ownable: new owner is the zero address"); _setOwner(newOwner); } function _setOwner(address newOwner) private { address oldOwner = _owner; _owner = newOwner; emit OwnershipTransferred(oldOwner, newOwner); } } // 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/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: 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 = 78156646155174841979727994598816262306175212592076161876661_508869554232690281; /// 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 = 1_442695040888963407; /// @dev The maximum value an unsigned 60.18-decimal fixed-point number can have. uint256 internal constant MAX_UD60x18 = 115792089237316195423570985008687907853269984665640564039457_584007913129639935; /// @dev The maximum whole value an unsigned 60.18-decimal fixed-point number can have. uint256 internal constant MAX_WHOLE_UD60x18 = 115792089237316195423570985008687907853269984665640564039457_000000000000000000; /// @dev How many trailing decimals can be represented. uint256 internal constant SCALE = 1e18; /// @notice Calculates the 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 = 2_718281828459045235; } /// @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 >= 133_084258667509499441) { 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 toward 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) / 3_321928094887362347; } } } /// @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 = 3_141592653589793238; } /// @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/Jesus.sol pragma solidity ^0.8.0; contract Jesus is ERC721, Ownable, DeveloperAccess, ReentrancyGuard { using PRBMathUD60x18 for uint256; uint256 constant private _developerEquity = 50000000000000000; // 5% (18 decimals) uint256 private _totalVolume; uint256 private _developerWithdrawn; uint256 public mintPrice; constructor( address devAddress, uint16 maxSupply, uint256 price, address signer, uint256 presaleMintStart, uint256 presaleMintEnd, uint16 maxPresale, uint256 publicMintStart, uint16 publicTransactionMax ) ERC721("Jesus", "JESUS") DeveloperAccess(devAddress) { require(maxSupply > 0, "Zero supply"); // GLOBALS mintSigner = signer; totalSupply = maxSupply; mintPrice = price; // CONFIGURE PRESALE Mint presaleMint.startDate = presaleMintStart; presaleMint.endDate = presaleMintEnd; presaleMint.maxMinted = maxPresale; // CONFIGURE PUBLIC MINT publicMint.startDate = publicMintStart; publicMint.maxPerTransaction = publicTransactionMax; } event Paid(address sender, uint256 amount); event Withdraw(address recipient, uint256 amount); struct WhitelistedMint { /** * The start date in unix seconds */ uint256 startDate; /** * The end date in unix seconds */ uint256 endDate; /** * The total number of tokens minted in this whitelist */ uint16 totalMinted; /** * The maximum number of tokens minted in this whitelist */ uint16 maxMinted; /** * The minters in this whitelisted mint * mapped to the number minted */ mapping(address => uint16) minted; } struct PublicMint { /** * The start date in unix seconds */ uint256 startDate; /** * The maximum per transaction */ uint16 maxPerTransaction; } string baseURI; uint16 public totalSupply; uint16 public minted; address private mintSigner; mapping(address => uint16) public lastMintNonce; /** * An exclusive mint for members granted * presale */ WhitelistedMint public presaleMint; /** * The public mint for everybody. */ PublicMint public publicMint; /** * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each * token will be the concatenation of the `baseURI` and the `tokenId`. */ function _baseURI() internal view virtual override returns (string memory) { return baseURI; } /** * Sets the base URI for all tokens * * @dev be sure to terminate with a slash * @param uri - the target base uri (ex: 'https://google.com/') */ function setBaseURI(string calldata uri) public onlyOwner { baseURI = uri; } /** * Sets the signer for presale transactions * * @param signer - the new signer's address */ function setSigner(address signer) public onlyOwner { mintSigner = signer; } /** * Burns the provided token id if you own it. * Reduces the supply by 1. * * @param tokenId - the ID of the token to be burned. */ function burn(uint256 tokenId) public { require(ownerOf(tokenId) == msg.sender, "You do not own this token"); _burn(tokenId); } // ------------------------------------------------ MINT STUFFS ------------------------------------------------ function getPresaleMints(address user) external view returns (uint16) { return presaleMint.minted[user]; } function updateMintPrice( uint256 price ) public onlyOwner { mintPrice = price; } /** * Updates the presale mint's characteristics * * @param startDate - the start date for that mint in UNIX seconds * @param endDate - the end date for that mint in UNIX seconds */ function updatePresaleMint( uint256 startDate, uint256 endDate, uint16 maxMinted ) public onlyOwner { presaleMint.startDate = startDate; presaleMint.endDate = endDate; presaleMint.maxMinted = maxMinted; } /** * Updates the public mint's characteristics * * @param maxPerTransaction - the maximum amount allowed in a wallet to mint in the public mint * @param startDate - the start date for that mint in UNIX seconds */ function updatePublicMint( uint16 maxPerTransaction, uint256 startDate ) public onlyOwner { publicMint.maxPerTransaction = maxPerTransaction; publicMint.startDate = startDate; } function getPremintHash( address minter, uint16 quantity, uint16 nonce ) public pure returns (bytes32) { return VerifySignature.getMessageHash(minter, quantity, nonce); } /** * Mints in the premint stage by using a signed transaction from a centralized whitelist. * The message signer is expected to only sign messages when they fall within the whitelist * specifications. * * @param quantity - the number to mint * @param nonce - a random nonce which indicates that a signed transaction hasn't already been used. * @param signature - the signature given by the centralized whitelist authority, signed by * the account specified as mintSigner. */ function premint( uint16 quantity, uint16 nonce, bytes calldata signature ) public payable nonReentrant { uint256 remaining = totalSupply - minted; require(remaining > 0, "Mint over"); require(quantity >= 1, "Zero mint"); require(quantity <= remaining, "Not enough"); require(lastMintNonce[msg.sender] < nonce, "Nonce used"); require( presaleMint.startDate <= block.timestamp && presaleMint.endDate >= block.timestamp, "No mint" ); require( VerifySignature.verify( mintSigner, msg.sender, quantity, nonce, signature ), "Invalid sig" ); require(mintPrice * quantity == msg.value, "Bad value"); require( presaleMint.totalMinted + quantity <= presaleMint.maxMinted, "Limit exceeded" ); presaleMint.minted[msg.sender] += quantity; presaleMint.totalMinted += quantity; lastMintNonce[msg.sender] = nonce; // update nonce _totalVolume += msg.value; // DISTRIBUTE THE TOKENS uint16 i; for (i; i < quantity; i++) { minted += 1; _safeMint(msg.sender, minted); } } /** * Mints the given quantity of tokens provided it is possible to. * * @notice This function allows minting in the public sale * or at any time for the owner of the contract. * * @param quantity - the number of tokens to mint */ function mint(uint16 quantity) public payable nonReentrant { uint256 remaining = totalSupply - minted; require(remaining > 0, "Mint over"); require(quantity >= 1, "Zero mint"); require(quantity <= remaining, "Not enough"); if (owner() == msg.sender) { // OWNER MINTING FOR FREE require(msg.value == 0, "Owner paid"); } else if (block.timestamp >= publicMint.startDate) { // PUBLIC MINT require(quantity <= publicMint.maxPerTransaction, "Exceeds max"); require( quantity * mintPrice == msg.value, "Invalid value" ); } else { // NOT ELIGIBLE FOR PUBLIC MINT revert("No mint"); } _totalVolume += msg.value; // DISTRIBUTE THE TOKENS uint16 i; for (i; i < quantity; i++) { minted += 1; _safeMint(msg.sender, minted); } } function developerAllotment() public view returns (uint256) { return _developerEquity.mul(_totalVolume) - _developerWithdrawn; } /** * Withdraws balance from the contract to the owner (sender). * @param amount - the amount to withdraw, much be <= contract balance and dev allotment. */ function withdrawOwner(uint256 amount) external onlyOwner { require(address(this).balance >= amount + developerAllotment(), "Invalid amt"); (bool success, ) = msg.sender.call{value: amount}(""); require(success, "Trans failed"); emit Withdraw(msg.sender, amount); } /** * Withdraws balance from the contract to the developer (sender). * @param amount - the amount to withdraw, much be <= contract balance. */ function withdrawDeveloper(uint256 amount) external onlyDeveloper { uint256 devAllotment = developerAllotment(); require(amount <= devAllotment, "Invalid amt"); _developerWithdrawn += amount; (bool success, ) = msg.sender.call{value: amount}(""); require(success, "Trans failed"); emit Withdraw(msg.sender, amount); } /** * The receive function, does nothing */ receive() external payable { _totalVolume += msg.value; emit Paid(msg.sender, msg.value); } }
Contract Security Audit
- No Contract Security Audit Submitted- Submit Audit Here
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y":"view","type":"function"},{"inputs":[],"name":"name","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"owner","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"ownerOf","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint16","name":"quantity","type":"uint16"},{"internalType":"uint16","name":"nonce","type":"uint16"},{"internalType":"bytes","name":"signature","type":"bytes"}],"name":"premint","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[],"name":"presaleMint","outputs":[{"internalType":"uint256","name":"startDate","type":"uint256"},{"internalType":"uint256","name":"endDate","type":"uint256"},{"internalType":"uint16","name":"totalMinted","type":"uint16"},{"internalType":"uint16","name":"maxMinted","type":"uint16"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"publicMint","outputs":[{"internalType":"uint256","name":"startDate","type":"uint256"},{"internalType":"uint16","name":"maxPerTransaction","type":"uint16"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"renounceDevelopership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"renounceOwnership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"safeTransferFrom","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"},{"internalType":"bytes","name":"_data","type":"bytes"}],"name":"safeTransferFrom","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"operator","type":"address"},{"internalType":"bool","name":"approved","type":"bool"}],"name":"setApprovalForAll","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"string","name":"uri","type":"string"}],"name":"setBaseURI","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"signer","type":"address"}],"name":"setSigner","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes4","name":"interfaceId","type":"bytes4"}],"name":"supportsInterface","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"symbol","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"tokenURI","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"totalSupply","outputs":[{"internalType":"uint16","name":"","type":"uint16"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"newDeveloper","type":"address"}],"name":"transferDevelopership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256","name":"tokenId","type":"uint256"}],"name":"transferFrom","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"newOwner","type":"address"}],"name":"transferOwnership","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"price","type":"uint256"}],"name":"updateMintPrice","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"startDate","type":"uint256"},{"internalType":"uint256","name":"endDate","type":"uint256"},{"internalType":"uint16","name":"maxMinted","type":"uint16"}],"name":"updatePresaleMint","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint16","name":"maxPerTransaction","type":"uint16"},{"internalType":"uint256","name":"startDate","type":"uint256"}],"name":"updatePublicMint","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"withdrawDeveloper","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"withdrawOwner","outputs":[],"stateMutability":"nonpayable","type":"function"},{"stateMutability":"payable","type":"receive"}]
Contract Creation Code
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Constructor Arguments (ABI-Encoded and is the last bytes of the Contract Creation Code above)
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
-----Decoded View---------------
Arg [0] : devAddress (address): 0x1569ab627df0c74E55B8e099a3F2B7d133665186
Arg [1] : maxSupply (uint16): 4444
Arg [2] : price (uint256): 70000000000000000
Arg [3] : signer (address): 0xD748f85c03561700091ec5A63b135cA24564941D
Arg [4] : presaleMintStart (uint256): 1641492000
Arg [5] : presaleMintEnd (uint256): 1641574800
Arg [6] : maxPresale (uint16): 444
Arg [7] : publicMintStart (uint256): 1641578400
Arg [8] : publicTransactionMax (uint16): 7
-----Encoded View---------------
9 Constructor Arguments found :
Arg [0] : 0000000000000000000000001569ab627df0c74e55b8e099a3f2b7d133665186
Arg [1] : 000000000000000000000000000000000000000000000000000000000000115c
Arg [2] : 00000000000000000000000000000000000000000000000000f8b0a10e470000
Arg [3] : 000000000000000000000000d748f85c03561700091ec5a63b135ca24564941d
Arg [4] : 0000000000000000000000000000000000000000000000000000000061d72e20
Arg [5] : 0000000000000000000000000000000000000000000000000000000061d87190
Arg [6] : 00000000000000000000000000000000000000000000000000000000000001bc
Arg [7] : 0000000000000000000000000000000000000000000000000000000061d87fa0
Arg [8] : 0000000000000000000000000000000000000000000000000000000000000007
Deployed Bytecode Sourcemap
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Swarm Source
ipfs://b544ddd7c455034633548e754f7023b058422eecc14da0ced4db421ca17c9a2c
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