ETH Price: $2,453.61 (-2.08%)

Transaction Decoder

Block:
22292831 at Apr-18-2025 02:15:23 AM +UTC
Transaction Fee:
0.00003116330620226 ETH $0.08
Gas Used:
83,938 Gas / 0.37126577 Gwei

Emitted Events:

344 0xfa103c21ea2df71dfb92b0652f8b1d795e51cdef.0xef4b96e5b208365900f38219a7dec7af4565f8ff4ce6526970a9d024397f978d( 0xef4b96e5b208365900f38219a7dec7af4565f8ff4ce6526970a9d024397f978d, 000000000000000000000000767fe9edc9e0df98e07454847909b5e959d7ca0e, 000000000000000000000000a69babef1ca67a37ffaf7a485dfff3382056e78c, 0000000000000000000000001bf7a9e3a364e7f5761345837f222cd93e230c4f, 0000000000000000000000000000000000000000000000490bc392d9d7da0000 )
345 IlluviumERC20.Approved( _owner=0xA69babEF1cA67A37Ffaf7a485DfFF3382056e78C, _spender=[Receiver] 0xfa103c21ea2df71dfb92b0652f8b1d795e51cdef, _oldValue=115792089237316195423570985008687907853269984665640563323399244007913129639935, _value=115792089237316195423570985008687907853269984665640563322051784007913129639935 )
346 IlluviumERC20.Approval( _owner=0xA69babEF1cA67A37Ffaf7a485DfFF3382056e78C, _spender=[Receiver] 0xfa103c21ea2df71dfb92b0652f8b1d795e51cdef, _value=115792089237316195423570985008687907853269984665640563322051784007913129639935 )
347 IlluviumERC20.Transferred( _by=[Receiver] 0xfa103c21ea2df71dfb92b0652f8b1d795e51cdef, _from=0xA69babEF1cA67A37Ffaf7a485DfFF3382056e78C, _to=0x1BF7A9E3A364e7F5761345837f222cd93e230C4f, _value=1347460000000000000000 )
348 IlluviumERC20.Transfer( _from=0xA69babEF1cA67A37Ffaf7a485DfFF3382056e78C, _to=0x1BF7A9E3A364e7F5761345837f222cd93e230C4f, _value=1347460000000000000000 )

Account State Difference:

  Address   Before After State Difference Code
0x0Ae8db15...B31Abcb9B
13.125156885324956436 Eth
Nonce: 23455
13.125125722018754176 Eth
Nonce: 23456
0.00003116330620226
0x767FE9ED...959D7ca0E
(beaverbuild)
9.041883546332843824 Eth9.041884480298882752 Eth0.000000933966038928

Execution Trace

0xfa103c21ea2df71dfb92b0652f8b1d795e51cdef.1cff79cd( )
  • 0xa456fc5d92990bb6a5710bdc738c6ef3001dfb6f.52de3cbd( )
    • IlluviumERC20.transferFrom( _from=0xA69babEF1cA67A37Ffaf7a485DfFF3382056e78C, _to=0x1BF7A9E3A364e7F5761345837f222cd93e230C4f, _value=1347460000000000000000 ) => ( success=True )
      // SPDX-License-Identifier: MIT
      pragma solidity 0.8.1;
      /**
       * @title ERC20 token receiver interface
       *
       * @dev Interface for any contract that wants to support safe transfers
       *      from ERC20 token smart contracts.
       * @dev Inspired by ERC721 and ERC223 token standards
       *
       * @dev See https://github.com/ethereum/EIPs/blob/master/EIPS/eip-721.md
       * @dev See https://github.com/ethereum/EIPs/issues/223
       *
       * @author Basil Gorin
       */
      interface ERC20Receiver {
        /**
         * @notice Handle the receipt of a ERC20 token(s)
         * @dev The ERC20 smart contract calls this function on the recipient
         *      after a successful transfer (`safeTransferFrom`).
         *      This function MAY throw to revert and reject the transfer.
         *      Return of other than the magic value MUST result in the transaction being reverted.
         * @notice The contract address is always the message sender.
         *      A wallet/broker/auction application MUST implement the wallet interface
         *      if it will accept safe transfers.
         * @param _operator The address which called `safeTransferFrom` function
         * @param _from The address which previously owned the token
         * @param _value amount of tokens which is being transferred
         * @param _data additional data with no specified format
         * @return `bytes4(keccak256("onERC20Received(address,address,uint256,bytes)"))` unless throwing
         */
        function onERC20Received(address _operator, address _from, uint256 _value, bytes calldata _data) external returns(bytes4);
      }
      // SPDX-License-Identifier: MIT
      pragma solidity 0.8.1;
      import "../utils/AddressUtils.sol";
      import "../utils/AccessControl.sol";
      import "./ERC20Receiver.sol";
      /**
       * @title Illuvium (ILV) ERC20 token
       *
       * @notice Illuvium is a core ERC20 token powering the game.
       *      It serves as an in-game currency, is tradable on exchanges,
       *      it powers up the governance protocol (Illuvium DAO) and participates in Yield Farming.
       *
       * @dev Token Summary:
       *      - Symbol: ILV
       *      - Name: Illuvium
       *      - Decimals: 18
       *      - Initial token supply: 7,000,000 ILV
       *      - Maximum final token supply: 10,000,000 ILV
       *          - Up to 3,000,000 ILV may get minted in 3 years period via yield farming
       *      - Mintable: total supply may increase
       *      - Burnable: total supply may decrease
       *
       * @dev Token balances and total supply are effectively 192 bits long, meaning that maximum
       *      possible total supply smart contract is able to track is 2^192 (close to 10^40 tokens)
       *
       * @dev Smart contract doesn't use safe math. All arithmetic operations are overflow/underflow safe.
       *      Additionally, Solidity 0.8.1 enforces overflow/underflow safety.
       *
       * @dev ERC20: reviewed according to https://eips.ethereum.org/EIPS/eip-20
       *
       * @dev ERC20: contract has passed OpenZeppelin ERC20 tests,
       *      see https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/test/token/ERC20/ERC20.behavior.js
       *      see https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/test/token/ERC20/ERC20.test.js
       *      see adopted copies of these tests in the `test` folder
       *
       * @dev ERC223/ERC777: not supported;
       *      send tokens via `safeTransferFrom` and implement `ERC20Receiver.onERC20Received` on the receiver instead
       *
       * @dev Multiple Withdrawal Attack on ERC20 Tokens (ISBN:978-1-7281-3027-9) - resolved
       *      Related events and functions are marked with "ISBN:978-1-7281-3027-9" tag:
       *        - event Transferred(address indexed _by, address indexed _from, address indexed _to, uint256 _value)
       *        - event Approved(address indexed _owner, address indexed _spender, uint256 _oldValue, uint256 _value)
       *        - function increaseAllowance(address _spender, uint256 _value) public returns (bool)
       *        - function decreaseAllowance(address _spender, uint256 _value) public returns (bool)
       *      See: https://ieeexplore.ieee.org/document/8802438
       *      See: https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
       *
       * @author Basil Gorin
       */
      contract IlluviumERC20 is AccessControl {
        /**
         * @dev Smart contract unique identifier, a random number
         * @dev Should be regenerated each time smart contact source code is changed
         *      and changes smart contract itself is to be redeployed
         * @dev Generated using https://www.random.org/bytes/
         */
        uint256 public constant TOKEN_UID = 0x83ecb176af7c4f35a45ff0018282e3a05a1018065da866182df12285866f5a2c;
        /**
         * @notice Name of the token: Illuvium
         *
         * @notice ERC20 name of the token (long name)
         *
         * @dev ERC20 `function name() public view returns (string)`
         *
         * @dev Field is declared public: getter name() is created when compiled,
         *      it returns the name of the token.
         */
        string public constant name = "Illuvium";
        /**
         * @notice Symbol of the token: ILV
         *
         * @notice ERC20 symbol of that token (short name)
         *
         * @dev ERC20 `function symbol() public view returns (string)`
         *
         * @dev Field is declared public: getter symbol() is created when compiled,
         *      it returns the symbol of the token
         */
        string public constant symbol = "ILV";
        /**
         * @notice Decimals of the token: 18
         *
         * @dev ERC20 `function decimals() public view returns (uint8)`
         *
         * @dev Field is declared public: getter decimals() is created when compiled,
         *      it returns the number of decimals used to get its user representation.
         *      For example, if `decimals` equals `6`, a balance of `1,500,000` tokens should
         *      be displayed to a user as `1,5` (`1,500,000 / 10 ** 6`).
         *
         * @dev NOTE: This information is only used for _display_ purposes: it in
         *      no way affects any of the arithmetic of the contract, including balanceOf() and transfer().
         */
        uint8 public constant decimals = 18;
        /**
         * @notice Total supply of the token: initially 7,000,000,
         *      with the potential to grow up to 10,000,000 during yield farming period (3 years)
         *
         * @dev ERC20 `function totalSupply() public view returns (uint256)`
         *
         * @dev Field is declared public: getter totalSupply() is created when compiled,
         *      it returns the amount of tokens in existence.
         */
        uint256 public totalSupply; // is set to 7 million * 10^18 in the constructor
        /**
         * @dev A record of all the token balances
         * @dev This mapping keeps record of all token owners:
         *      owner => balance
         */
        mapping(address => uint256) public tokenBalances;
        /**
         * @notice A record of each account's voting delegate
         *
         * @dev Auxiliary data structure used to sum up an account's voting power
         *
         * @dev This mapping keeps record of all voting power delegations:
         *      voting delegator (token owner) => voting delegate
         */
        mapping(address => address) public votingDelegates;
        /**
         * @notice A voting power record binds voting power of a delegate to a particular
         *      block when the voting power delegation change happened
         */
        struct VotingPowerRecord {
          /*
           * @dev block.number when delegation has changed; starting from
           *      that block voting power value is in effect
           */
          uint64 blockNumber;
          /*
           * @dev cumulative voting power a delegate has obtained starting
           *      from the block stored in blockNumber
           */
          uint192 votingPower;
        }
        /**
         * @notice A record of each account's voting power
         *
         * @dev Primarily data structure to store voting power for each account.
         *      Voting power sums up from the account's token balance and delegated
         *      balances.
         *
         * @dev Stores current value and entire history of its changes.
         *      The changes are stored as an array of checkpoints.
         *      Checkpoint is an auxiliary data structure containing voting
         *      power (number of votes) and block number when the checkpoint is saved
         *
         * @dev Maps voting delegate => voting power record
         */
        mapping(address => VotingPowerRecord[]) public votingPowerHistory;
        /**
         * @dev A record of nonces for signing/validating signatures in `delegateWithSig`
         *      for every delegate, increases after successful validation
         *
         * @dev Maps delegate address => delegate nonce
         */
        mapping(address => uint256) public nonces;
        /**
         * @notice A record of all the allowances to spend tokens on behalf
         * @dev Maps token owner address to an address approved to spend
         *      some tokens on behalf, maps approved address to that amount
         * @dev owner => spender => value
         */
        mapping(address => mapping(address => uint256)) public transferAllowances;
        /**
         * @notice Enables ERC20 transfers of the tokens
         *      (transfer by the token owner himself)
         * @dev Feature FEATURE_TRANSFERS must be enabled in order for
         *      `transfer()` function to succeed
         */
        uint32 public constant FEATURE_TRANSFERS = 0x0000_0001;
        /**
         * @notice Enables ERC20 transfers on behalf
         *      (transfer by someone else on behalf of token owner)
         * @dev Feature FEATURE_TRANSFERS_ON_BEHALF must be enabled in order for
         *      `transferFrom()` function to succeed
         * @dev Token owner must call `approve()` first to authorize
         *      the transfer on behalf
         */
        uint32 public constant FEATURE_TRANSFERS_ON_BEHALF = 0x0000_0002;
        /**
         * @dev Defines if the default behavior of `transfer` and `transferFrom`
         *      checks if the receiver smart contract supports ERC20 tokens
         * @dev When feature FEATURE_UNSAFE_TRANSFERS is enabled the transfers do not
         *      check if the receiver smart contract supports ERC20 tokens,
         *      i.e. `transfer` and `transferFrom` behave like `unsafeTransferFrom`
         * @dev When feature FEATURE_UNSAFE_TRANSFERS is disabled (default) the transfers
         *      check if the receiver smart contract supports ERC20 tokens,
         *      i.e. `transfer` and `transferFrom` behave like `safeTransferFrom`
         */
        uint32 public constant FEATURE_UNSAFE_TRANSFERS = 0x0000_0004;
        /**
         * @notice Enables token owners to burn their own tokens,
         *      including locked tokens which are burnt first
         * @dev Feature FEATURE_OWN_BURNS must be enabled in order for
         *      `burn()` function to succeed when called by token owner
         */
        uint32 public constant FEATURE_OWN_BURNS = 0x0000_0008;
        /**
         * @notice Enables approved operators to burn tokens on behalf of their owners,
         *      including locked tokens which are burnt first
         * @dev Feature FEATURE_OWN_BURNS must be enabled in order for
         *      `burn()` function to succeed when called by approved operator
         */
        uint32 public constant FEATURE_BURNS_ON_BEHALF = 0x0000_0010;
        /**
         * @notice Enables delegators to elect delegates
         * @dev Feature FEATURE_DELEGATIONS must be enabled in order for
         *      `delegate()` function to succeed
         */
        uint32 public constant FEATURE_DELEGATIONS = 0x0000_0020;
        /**
         * @notice Enables delegators to elect delegates on behalf
         *      (via an EIP712 signature)
         * @dev Feature FEATURE_DELEGATIONS must be enabled in order for
         *      `delegateWithSig()` function to succeed
         */
        uint32 public constant FEATURE_DELEGATIONS_ON_BEHALF = 0x0000_0040;
        /**
         * @notice Token creator is responsible for creating (minting)
         *      tokens to an arbitrary address
         * @dev Role ROLE_TOKEN_CREATOR allows minting tokens
         *      (calling `mint` function)
         */
        uint32 public constant ROLE_TOKEN_CREATOR = 0x0001_0000;
        /**
         * @notice Token destroyer is responsible for destroying (burning)
         *      tokens owned by an arbitrary address
         * @dev Role ROLE_TOKEN_DESTROYER allows burning tokens
         *      (calling `burn` function)
         */
        uint32 public constant ROLE_TOKEN_DESTROYER = 0x0002_0000;
        /**
         * @notice ERC20 receivers are allowed to receive tokens without ERC20 safety checks,
         *      which may be useful to simplify tokens transfers into "legacy" smart contracts
         * @dev When `FEATURE_UNSAFE_TRANSFERS` is not enabled addresses having
         *      `ROLE_ERC20_RECEIVER` permission are allowed to receive tokens
         *      via `transfer` and `transferFrom` functions in the same way they
         *      would via `unsafeTransferFrom` function
         * @dev When `FEATURE_UNSAFE_TRANSFERS` is enabled `ROLE_ERC20_RECEIVER` permission
         *      doesn't affect the transfer behaviour since
         *      `transfer` and `transferFrom` behave like `unsafeTransferFrom` for any receiver
         * @dev ROLE_ERC20_RECEIVER is a shortening for ROLE_UNSAFE_ERC20_RECEIVER
         */
        uint32 public constant ROLE_ERC20_RECEIVER = 0x0004_0000;
        /**
         * @notice ERC20 senders are allowed to send tokens without ERC20 safety checks,
         *      which may be useful to simplify tokens transfers into "legacy" smart contracts
         * @dev When `FEATURE_UNSAFE_TRANSFERS` is not enabled senders having
         *      `ROLE_ERC20_SENDER` permission are allowed to send tokens
         *      via `transfer` and `transferFrom` functions in the same way they
         *      would via `unsafeTransferFrom` function
         * @dev When `FEATURE_UNSAFE_TRANSFERS` is enabled `ROLE_ERC20_SENDER` permission
         *      doesn't affect the transfer behaviour since
         *      `transfer` and `transferFrom` behave like `unsafeTransferFrom` for any receiver
         * @dev ROLE_ERC20_SENDER is a shortening for ROLE_UNSAFE_ERC20_SENDER
         */
        uint32 public constant ROLE_ERC20_SENDER = 0x0008_0000;
        /**
         * @dev Magic value to be returned by ERC20Receiver upon successful reception of token(s)
         * @dev Equal to `bytes4(keccak256("onERC20Received(address,address,uint256,bytes)"))`,
         *      which can be also obtained as `ERC20Receiver(address(0)).onERC20Received.selector`
         */
        bytes4 private constant ERC20_RECEIVED = 0x4fc35859;
        /**
         * @notice EIP-712 contract's domain typeHash, see https://eips.ethereum.org/EIPS/eip-712#rationale-for-typehash
         */
        bytes32 public constant DOMAIN_TYPEHASH = keccak256("EIP712Domain(string name,uint256 chainId,address verifyingContract)");
        /**
         * @notice EIP-712 delegation struct typeHash, see https://eips.ethereum.org/EIPS/eip-712#rationale-for-typehash
         */
        bytes32 public constant DELEGATION_TYPEHASH = keccak256("Delegation(address delegate,uint256 nonce,uint256 expiry)");
        /**
         * @dev Fired in transfer(), transferFrom() and some other (non-ERC20) functions
         *
         * @dev ERC20 `event Transfer(address indexed _from, address indexed _to, uint256 _value)`
         *
         * @param _from an address tokens were consumed from
         * @param _to an address tokens were sent to
         * @param _value number of tokens transferred
         */
        event Transfer(address indexed _from, address indexed _to, uint256 _value);
        /**
         * @dev Fired in approve() and approveAtomic() functions
         *
         * @dev ERC20 `event Approval(address indexed _owner, address indexed _spender, uint256 _value)`
         *
         * @param _owner an address which granted a permission to transfer
         *      tokens on its behalf
         * @param _spender an address which received a permission to transfer
         *      tokens on behalf of the owner `_owner`
         * @param _value amount of tokens granted to transfer on behalf
         */
        event Approval(address indexed _owner, address indexed _spender, uint256 _value);
        /**
         * @dev Fired in mint() function
         *
         * @param _by an address which minted some tokens (transaction sender)
         * @param _to an address the tokens were minted to
         * @param _value an amount of tokens minted
         */
        event Minted(address indexed _by, address indexed _to, uint256 _value);
        /**
         * @dev Fired in burn() function
         *
         * @param _by an address which burned some tokens (transaction sender)
         * @param _from an address the tokens were burnt from
         * @param _value an amount of tokens burnt
         */
        event Burnt(address indexed _by, address indexed _from, uint256 _value);
        /**
         * @dev Resolution for the Multiple Withdrawal Attack on ERC20 Tokens (ISBN:978-1-7281-3027-9)
         *
         * @dev Similar to ERC20 Transfer event, but also logs an address which executed transfer
         *
         * @dev Fired in transfer(), transferFrom() and some other (non-ERC20) functions
         *
         * @param _by an address which performed the transfer
         * @param _from an address tokens were consumed from
         * @param _to an address tokens were sent to
         * @param _value number of tokens transferred
         */
        event Transferred(address indexed _by, address indexed _from, address indexed _to, uint256 _value);
        /**
         * @dev Resolution for the Multiple Withdrawal Attack on ERC20 Tokens (ISBN:978-1-7281-3027-9)
         *
         * @dev Similar to ERC20 Approve event, but also logs old approval value
         *
         * @dev Fired in approve() and approveAtomic() functions
         *
         * @param _owner an address which granted a permission to transfer
         *      tokens on its behalf
         * @param _spender an address which received a permission to transfer
         *      tokens on behalf of the owner `_owner`
         * @param _oldValue previously granted amount of tokens to transfer on behalf
         * @param _value new granted amount of tokens to transfer on behalf
         */
        event Approved(address indexed _owner, address indexed _spender, uint256 _oldValue, uint256 _value);
        /**
         * @dev Notifies that a key-value pair in `votingDelegates` mapping has changed,
         *      i.e. a delegator address has changed its delegate address
         *
         * @param _of delegator address, a token owner
         * @param _from old delegate, an address which delegate right is revoked
         * @param _to new delegate, an address which received the voting power
         */
        event DelegateChanged(address indexed _of, address indexed _from, address indexed _to);
        /**
         * @dev Notifies that a key-value pair in `votingPowerHistory` mapping has changed,
         *      i.e. a delegate's voting power has changed.
         *
         * @param _of delegate whose voting power has changed
         * @param _fromVal previous number of votes delegate had
         * @param _toVal new number of votes delegate has
         */
        event VotingPowerChanged(address indexed _of, uint256 _fromVal, uint256 _toVal);
        /**
         * @dev Deploys the token smart contract,
         *      assigns initial token supply to the address specified
         *
         * @param _initialHolder owner of the initial token supply
         */
        constructor(address _initialHolder) {
          // verify initial holder address non-zero (is set)
          require(_initialHolder != address(0), "_initialHolder not set (zero address)");
          // mint initial supply
          mint(_initialHolder, 7_000_000e18);
        }
        // ===== Start: ERC20/ERC223/ERC777 functions =====
        /**
         * @notice Gets the balance of a particular address
         *
         * @dev ERC20 `function balanceOf(address _owner) public view returns (uint256 balance)`
         *
         * @param _owner the address to query the the balance for
         * @return balance an amount of tokens owned by the address specified
         */
        function balanceOf(address _owner) public view returns (uint256 balance) {
          // read the balance and return
          return tokenBalances[_owner];
        }
        /**
         * @notice Transfers some tokens to an external address or a smart contract
         *
         * @dev ERC20 `function transfer(address _to, uint256 _value) public returns (bool success)`
         *
         * @dev Called by token owner (an address which has a
         *      positive token balance tracked by this smart contract)
         * @dev Throws on any error like
         *      * insufficient token balance or
         *      * incorrect `_to` address:
         *          * zero address or
         *          * self address or
         *          * smart contract which doesn't support ERC20
         *
         * @param _to an address to transfer tokens to,
         *      must be either an external address or a smart contract,
         *      compliant with the ERC20 standard
         * @param _value amount of tokens to be transferred, must
         *      be greater than zero
         * @return success true on success, throws otherwise
         */
        function transfer(address _to, uint256 _value) public returns (bool success) {
          // just delegate call to `transferFrom`,
          // `FEATURE_TRANSFERS` is verified inside it
          return transferFrom(msg.sender, _to, _value);
        }
        /**
         * @notice Transfers some tokens on behalf of address `_from' (token owner)
         *      to some other address `_to`
         *
         * @dev ERC20 `function transferFrom(address _from, address _to, uint256 _value) public returns (bool success)`
         *
         * @dev Called by token owner on his own or approved address,
         *      an address approved earlier by token owner to
         *      transfer some amount of tokens on its behalf
         * @dev Throws on any error like
         *      * insufficient token balance or
         *      * incorrect `_to` address:
         *          * zero address or
         *          * same as `_from` address (self transfer)
         *          * smart contract which doesn't support ERC20
         *
         * @param _from token owner which approved caller (transaction sender)
         *      to transfer `_value` of tokens on its behalf
         * @param _to an address to transfer tokens to,
         *      must be either an external address or a smart contract,
         *      compliant with the ERC20 standard
         * @param _value amount of tokens to be transferred, must
         *      be greater than zero
         * @return success true on success, throws otherwise
         */
        function transferFrom(address _from, address _to, uint256 _value) public returns (bool success) {
          // depending on `FEATURE_UNSAFE_TRANSFERS` we execute either safe (default)
          // or unsafe transfer
          // if `FEATURE_UNSAFE_TRANSFERS` is enabled
          // or receiver has `ROLE_ERC20_RECEIVER` permission
          // or sender has `ROLE_ERC20_SENDER` permission
          if(isFeatureEnabled(FEATURE_UNSAFE_TRANSFERS)
            || isOperatorInRole(_to, ROLE_ERC20_RECEIVER)
            || isSenderInRole(ROLE_ERC20_SENDER)) {
            // we execute unsafe transfer - delegate call to `unsafeTransferFrom`,
            // `FEATURE_TRANSFERS` is verified inside it
            unsafeTransferFrom(_from, _to, _value);
          }
          // otherwise - if `FEATURE_UNSAFE_TRANSFERS` is disabled
          // and receiver doesn't have `ROLE_ERC20_RECEIVER` permission
          else {
            // we execute safe transfer - delegate call to `safeTransferFrom`, passing empty `_data`,
            // `FEATURE_TRANSFERS` is verified inside it
            safeTransferFrom(_from, _to, _value, "");
          }
          // both `unsafeTransferFrom` and `safeTransferFrom` throw on any error, so
          // if we're here - it means operation successful,
          // just return true
          return true;
        }
        /**
         * @notice Transfers some tokens on behalf of address `_from' (token owner)
         *      to some other address `_to`
         *
         * @dev Inspired by ERC721 safeTransferFrom, this function allows to
         *      send arbitrary data to the receiver on successful token transfer
         * @dev Called by token owner on his own or approved address,
         *      an address approved earlier by token owner to
         *      transfer some amount of tokens on its behalf
         * @dev Throws on any error like
         *      * insufficient token balance or
         *      * incorrect `_to` address:
         *          * zero address or
         *          * same as `_from` address (self transfer)
         *          * smart contract which doesn't support ERC20Receiver interface
         * @dev Returns silently on success, throws otherwise
         *
         * @param _from token owner which approved caller (transaction sender)
         *      to transfer `_value` of tokens on its behalf
         * @param _to an address to transfer tokens to,
         *      must be either an external address or a smart contract,
         *      compliant with the ERC20 standard
         * @param _value amount of tokens to be transferred, must
         *      be greater than zero
         * @param _data [optional] additional data with no specified format,
         *      sent in onERC20Received call to `_to` in case if its a smart contract
         */
        function safeTransferFrom(address _from, address _to, uint256 _value, bytes memory _data) public {
          // first delegate call to `unsafeTransferFrom`
          // to perform the unsafe token(s) transfer
          unsafeTransferFrom(_from, _to, _value);
          // after the successful transfer - check if receiver supports
          // ERC20Receiver and execute a callback handler `onERC20Received`,
          // reverting whole transaction on any error:
          // check if receiver `_to` supports ERC20Receiver interface
          if(AddressUtils.isContract(_to)) {
            // if `_to` is a contract - execute onERC20Received
            bytes4 response = ERC20Receiver(_to).onERC20Received(msg.sender, _from, _value, _data);
            // expected response is ERC20_RECEIVED
            require(response == ERC20_RECEIVED, "invalid onERC20Received response");
          }
        }
        /**
         * @notice Transfers some tokens on behalf of address `_from' (token owner)
         *      to some other address `_to`
         *
         * @dev In contrast to `safeTransferFrom` doesn't check recipient
         *      smart contract to support ERC20 tokens (ERC20Receiver)
         * @dev Designed to be used by developers when the receiver is known
         *      to support ERC20 tokens but doesn't implement ERC20Receiver interface
         * @dev Called by token owner on his own or approved address,
         *      an address approved earlier by token owner to
         *      transfer some amount of tokens on its behalf
         * @dev Throws on any error like
         *      * insufficient token balance or
         *      * incorrect `_to` address:
         *          * zero address or
         *          * same as `_from` address (self transfer)
         * @dev Returns silently on success, throws otherwise
         *
         * @param _from token owner which approved caller (transaction sender)
         *      to transfer `_value` of tokens on its behalf
         * @param _to an address to transfer tokens to,
         *      must be either an external address or a smart contract,
         *      compliant with the ERC20 standard
         * @param _value amount of tokens to be transferred, must
         *      be greater than zero
         */
        function unsafeTransferFrom(address _from, address _to, uint256 _value) public {
          // if `_from` is equal to sender, require transfers feature to be enabled
          // otherwise require transfers on behalf feature to be enabled
          require(_from == msg.sender && isFeatureEnabled(FEATURE_TRANSFERS)
               || _from != msg.sender && isFeatureEnabled(FEATURE_TRANSFERS_ON_BEHALF),
                  _from == msg.sender? "transfers are disabled": "transfers on behalf are disabled");
          // non-zero source address check - Zeppelin
          // obviously, zero source address is a client mistake
          // it's not part of ERC20 standard but it's reasonable to fail fast
          // since for zero value transfer transaction succeeds otherwise
          require(_from != address(0), "ERC20: transfer from the zero address"); // Zeppelin msg
          // non-zero recipient address check
          require(_to != address(0), "ERC20: transfer to the zero address"); // Zeppelin msg
          // sender and recipient cannot be the same
          require(_from != _to, "sender and recipient are the same (_from = _to)");
          // sending tokens to the token smart contract itself is a client mistake
          require(_to != address(this), "invalid recipient (transfer to the token smart contract itself)");
          // according to ERC-20 Token Standard, https://eips.ethereum.org/EIPS/eip-20
          // "Transfers of 0 values MUST be treated as normal transfers and fire the Transfer event."
          if(_value == 0) {
            // emit an ERC20 transfer event
            emit Transfer(_from, _to, _value);
            // don't forget to return - we're done
            return;
          }
          // no need to make arithmetic overflow check on the _value - by design of mint()
          // in case of transfer on behalf
          if(_from != msg.sender) {
            // read allowance value - the amount of tokens allowed to transfer - into the stack
            uint256 _allowance = transferAllowances[_from][msg.sender];
            // verify sender has an allowance to transfer amount of tokens requested
            require(_allowance >= _value, "ERC20: transfer amount exceeds allowance"); // Zeppelin msg
            // update allowance value on the stack
            _allowance -= _value;
            // update the allowance value in storage
            transferAllowances[_from][msg.sender] = _allowance;
            // emit an improved atomic approve event
            emit Approved(_from, msg.sender, _allowance + _value, _allowance);
            // emit an ERC20 approval event to reflect the decrease
            emit Approval(_from, msg.sender, _allowance);
          }
          // verify sender has enough tokens to transfer on behalf
          require(tokenBalances[_from] >= _value, "ERC20: transfer amount exceeds balance"); // Zeppelin msg
          // perform the transfer:
          // decrease token owner (sender) balance
          tokenBalances[_from] -= _value;
          // increase `_to` address (receiver) balance
          tokenBalances[_to] += _value;
          // move voting power associated with the tokens transferred
          __moveVotingPower(votingDelegates[_from], votingDelegates[_to], _value);
          // emit an improved transfer event
          emit Transferred(msg.sender, _from, _to, _value);
          // emit an ERC20 transfer event
          emit Transfer(_from, _to, _value);
        }
        /**
         * @notice Approves address called `_spender` to transfer some amount
         *      of tokens on behalf of the owner
         *
         * @dev ERC20 `function approve(address _spender, uint256 _value) public returns (bool success)`
         *
         * @dev Caller must not necessarily own any tokens to grant the permission
         *
         * @param _spender an address approved by the caller (token owner)
         *      to spend some tokens on its behalf
         * @param _value an amount of tokens spender `_spender` is allowed to
         *      transfer on behalf of the token owner
         * @return success true on success, throws otherwise
         */
        function approve(address _spender, uint256 _value) public returns (bool success) {
          // non-zero spender address check - Zeppelin
          // obviously, zero spender address is a client mistake
          // it's not part of ERC20 standard but it's reasonable to fail fast
          require(_spender != address(0), "ERC20: approve to the zero address"); // Zeppelin msg
          // read old approval value to emmit an improved event (ISBN:978-1-7281-3027-9)
          uint256 _oldValue = transferAllowances[msg.sender][_spender];
          // perform an operation: write value requested into the storage
          transferAllowances[msg.sender][_spender] = _value;
          // emit an improved atomic approve event (ISBN:978-1-7281-3027-9)
          emit Approved(msg.sender, _spender, _oldValue, _value);
          // emit an ERC20 approval event
          emit Approval(msg.sender, _spender, _value);
          // operation successful, return true
          return true;
        }
        /**
         * @notice Returns the amount which _spender is still allowed to withdraw from _owner.
         *
         * @dev ERC20 `function allowance(address _owner, address _spender) public view returns (uint256 remaining)`
         *
         * @dev A function to check an amount of tokens owner approved
         *      to transfer on its behalf by some other address called "spender"
         *
         * @param _owner an address which approves transferring some tokens on its behalf
         * @param _spender an address approved to transfer some tokens on behalf
         * @return remaining an amount of tokens approved address `_spender` can transfer on behalf
         *      of token owner `_owner`
         */
        function allowance(address _owner, address _spender) public view returns (uint256 remaining) {
          // read the value from storage and return
          return transferAllowances[_owner][_spender];
        }
        // ===== End: ERC20/ERC223/ERC777 functions =====
        // ===== Start: Resolution for the Multiple Withdrawal Attack on ERC20 Tokens (ISBN:978-1-7281-3027-9) =====
        /**
         * @notice Increases the allowance granted to `spender` by the transaction sender
         *
         * @dev Resolution for the Multiple Withdrawal Attack on ERC20 Tokens (ISBN:978-1-7281-3027-9)
         *
         * @dev Throws if value to increase by is zero or too big and causes arithmetic overflow
         *
         * @param _spender an address approved by the caller (token owner)
         *      to spend some tokens on its behalf
         * @param _value an amount of tokens to increase by
         * @return success true on success, throws otherwise
         */
        function increaseAllowance(address _spender, uint256 _value) public virtual returns (bool) {
          // read current allowance value
          uint256 currentVal = transferAllowances[msg.sender][_spender];
          // non-zero _value and arithmetic overflow check on the allowance
          require(currentVal + _value > currentVal, "zero value approval increase or arithmetic overflow");
          // delegate call to `approve` with the new value
          return approve(_spender, currentVal + _value);
        }
        /**
         * @notice Decreases the allowance granted to `spender` by the caller.
         *
         * @dev Resolution for the Multiple Withdrawal Attack on ERC20 Tokens (ISBN:978-1-7281-3027-9)
         *
         * @dev Throws if value to decrease by is zero or is bigger than currently allowed value
         *
         * @param _spender an address approved by the caller (token owner)
         *      to spend some tokens on its behalf
         * @param _value an amount of tokens to decrease by
         * @return success true on success, throws otherwise
         */
        function decreaseAllowance(address _spender, uint256 _value) public virtual returns (bool) {
          // read current allowance value
          uint256 currentVal = transferAllowances[msg.sender][_spender];
          // non-zero _value check on the allowance
          require(_value > 0, "zero value approval decrease");
          // verify allowance decrease doesn't underflow
          require(currentVal >= _value, "ERC20: decreased allowance below zero");
          // delegate call to `approve` with the new value
          return approve(_spender, currentVal - _value);
        }
        // ===== End: Resolution for the Multiple Withdrawal Attack on ERC20 Tokens (ISBN:978-1-7281-3027-9) =====
        // ===== Start: Minting/burning extension =====
        /**
         * @dev Mints (creates) some tokens to address specified
         * @dev The value specified is treated as is without taking
         *      into account what `decimals` value is
         * @dev Behaves effectively as `mintTo` function, allowing
         *      to specify an address to mint tokens to
         * @dev Requires sender to have `ROLE_TOKEN_CREATOR` permission
         *
         * @dev Throws on overflow, if totalSupply + _value doesn't fit into uint256
         *
         * @param _to an address to mint tokens to
         * @param _value an amount of tokens to mint (create)
         */
        function mint(address _to, uint256 _value) public {
          // check if caller has sufficient permissions to mint tokens
          require(isSenderInRole(ROLE_TOKEN_CREATOR), "insufficient privileges (ROLE_TOKEN_CREATOR required)");
          // non-zero recipient address check
          require(_to != address(0), "ERC20: mint to the zero address"); // Zeppelin msg
          // non-zero _value and arithmetic overflow check on the total supply
          // this check automatically secures arithmetic overflow on the individual balance
          require(totalSupply + _value > totalSupply, "zero value mint or arithmetic overflow");
          // uint192 overflow check (required by voting delegation)
          require(totalSupply + _value <= type(uint192).max, "total supply overflow (uint192)");
          // perform mint:
          // increase total amount of tokens value
          totalSupply += _value;
          // increase `_to` address balance
          tokenBalances[_to] += _value;
          // create voting power associated with the tokens minted
          __moveVotingPower(address(0), votingDelegates[_to], _value);
          // fire a minted event
          emit Minted(msg.sender, _to, _value);
          // emit an improved transfer event
          emit Transferred(msg.sender, address(0), _to, _value);
          // fire ERC20 compliant transfer event
          emit Transfer(address(0), _to, _value);
        }
        /**
         * @dev Burns (destroys) some tokens from the address specified
         * @dev The value specified is treated as is without taking
         *      into account what `decimals` value is
         * @dev Behaves effectively as `burnFrom` function, allowing
         *      to specify an address to burn tokens from
         * @dev Requires sender to have `ROLE_TOKEN_DESTROYER` permission
         *
         * @param _from an address to burn some tokens from
         * @param _value an amount of tokens to burn (destroy)
         */
        function burn(address _from, uint256 _value) public {
          // check if caller has sufficient permissions to burn tokens
          // and if not - check for possibility to burn own tokens or to burn on behalf
          if(!isSenderInRole(ROLE_TOKEN_DESTROYER)) {
            // if `_from` is equal to sender, require own burns feature to be enabled
            // otherwise require burns on behalf feature to be enabled
            require(_from == msg.sender && isFeatureEnabled(FEATURE_OWN_BURNS)
                 || _from != msg.sender && isFeatureEnabled(FEATURE_BURNS_ON_BEHALF),
                    _from == msg.sender? "burns are disabled": "burns on behalf are disabled");
            // in case of burn on behalf
            if(_from != msg.sender) {
              // read allowance value - the amount of tokens allowed to be burnt - into the stack
              uint256 _allowance = transferAllowances[_from][msg.sender];
              // verify sender has an allowance to burn amount of tokens requested
              require(_allowance >= _value, "ERC20: burn amount exceeds allowance"); // Zeppelin msg
              // update allowance value on the stack
              _allowance -= _value;
              // update the allowance value in storage
              transferAllowances[_from][msg.sender] = _allowance;
              // emit an improved atomic approve event
              emit Approved(msg.sender, _from, _allowance + _value, _allowance);
              // emit an ERC20 approval event to reflect the decrease
              emit Approval(_from, msg.sender, _allowance);
            }
          }
          // at this point we know that either sender is ROLE_TOKEN_DESTROYER or
          // we burn own tokens or on behalf (in latest case we already checked and updated allowances)
          // we have left to execute balance checks and burning logic itself
          // non-zero burn value check
          require(_value != 0, "zero value burn");
          // non-zero source address check - Zeppelin
          require(_from != address(0), "ERC20: burn from the zero address"); // Zeppelin msg
          // verify `_from` address has enough tokens to destroy
          // (basically this is a arithmetic overflow check)
          require(tokenBalances[_from] >= _value, "ERC20: burn amount exceeds balance"); // Zeppelin msg
          // perform burn:
          // decrease `_from` address balance
          tokenBalances[_from] -= _value;
          // decrease total amount of tokens value
          totalSupply -= _value;
          // destroy voting power associated with the tokens burnt
          __moveVotingPower(votingDelegates[_from], address(0), _value);
          // fire a burnt event
          emit Burnt(msg.sender, _from, _value);
          // emit an improved transfer event
          emit Transferred(msg.sender, _from, address(0), _value);
          // fire ERC20 compliant transfer event
          emit Transfer(_from, address(0), _value);
        }
        // ===== End: Minting/burning extension =====
        // ===== Start: DAO Support (Compound-like voting delegation) =====
        /**
         * @notice Gets current voting power of the account `_of`
         * @param _of the address of account to get voting power of
         * @return current cumulative voting power of the account,
         *      sum of token balances of all its voting delegators
         */
        function getVotingPower(address _of) public view returns (uint256) {
          // get a link to an array of voting power history records for an address specified
          VotingPowerRecord[] storage history = votingPowerHistory[_of];
          // lookup the history and return latest element
          return history.length == 0? 0: history[history.length - 1].votingPower;
        }
        /**
         * @notice Gets past voting power of the account `_of` at some block `_blockNum`
         * @dev Throws if `_blockNum` is not in the past (not the finalized block)
         * @param _of the address of account to get voting power of
         * @param _blockNum block number to get the voting power at
         * @return past cumulative voting power of the account,
         *      sum of token balances of all its voting delegators at block number `_blockNum`
         */
        function getVotingPowerAt(address _of, uint256 _blockNum) public view returns (uint256) {
          // make sure block number is not in the past (not the finalized block)
          require(_blockNum < block.number, "not yet determined"); // Compound msg
          // get a link to an array of voting power history records for an address specified
          VotingPowerRecord[] storage history = votingPowerHistory[_of];
          // if voting power history for the account provided is empty
          if(history.length == 0) {
            // than voting power is zero - return the result
            return 0;
          }
          // check latest voting power history record block number:
          // if history was not updated after the block of interest
          if(history[history.length - 1].blockNumber <= _blockNum) {
            // we're done - return last voting power record
            return getVotingPower(_of);
          }
          // check first voting power history record block number:
          // if history was never updated before the block of interest
          if(history[0].blockNumber > _blockNum) {
            // we're done - voting power at the block num of interest was zero
            return 0;
          }
          // `votingPowerHistory[_of]` is an array ordered by `blockNumber`, ascending;
          // apply binary search on `votingPowerHistory[_of]` to find such an entry number `i`, that
          // `votingPowerHistory[_of][i].blockNumber <= _blockNum`, but in the same time
          // `votingPowerHistory[_of][i + 1].blockNumber > _blockNum`
          // return the result - voting power found at index `i`
          return history[__binaryLookup(_of, _blockNum)].votingPower;
        }
        /**
         * @dev Reads an entire voting power history array for the delegate specified
         *
         * @param _of delegate to query voting power history for
         * @return voting power history array for the delegate of interest
         */
        function getVotingPowerHistory(address _of) public view returns(VotingPowerRecord[] memory) {
          // return an entire array as memory
          return votingPowerHistory[_of];
        }
        /**
         * @dev Returns length of the voting power history array for the delegate specified;
         *      useful since reading an entire array just to get its length is expensive (gas cost)
         *
         * @param _of delegate to query voting power history length for
         * @return voting power history array length for the delegate of interest
         */
        function getVotingPowerHistoryLength(address _of) public view returns(uint256) {
          // read array length and return
          return votingPowerHistory[_of].length;
        }
        /**
         * @notice Delegates voting power of the delegator `msg.sender` to the delegate `_to`
         *
         * @dev Accepts zero value address to delegate voting power to, effectively
         *      removing the delegate in that case
         *
         * @param _to address to delegate voting power to
         */
        function delegate(address _to) public {
          // verify delegations are enabled
          require(isFeatureEnabled(FEATURE_DELEGATIONS), "delegations are disabled");
          // delegate call to `__delegate`
          __delegate(msg.sender, _to);
        }
        /**
         * @notice Delegates voting power of the delegator (represented by its signature) to the delegate `_to`
         *
         * @dev Accepts zero value address to delegate voting power to, effectively
         *      removing the delegate in that case
         *
         * @dev Compliant with EIP-712: Ethereum typed structured data hashing and signing,
         *      see https://eips.ethereum.org/EIPS/eip-712
         *
         * @param _to address to delegate voting power to
         * @param _nonce nonce used to construct the signature, and used to validate it;
         *      nonce is increased by one after successful signature validation and vote delegation
         * @param _exp signature expiration time
         * @param v the recovery byte of the signature
         * @param r half of the ECDSA signature pair
         * @param s half of the ECDSA signature pair
         */
        function delegateWithSig(address _to, uint256 _nonce, uint256 _exp, uint8 v, bytes32 r, bytes32 s) public {
          // verify delegations on behalf are enabled
          require(isFeatureEnabled(FEATURE_DELEGATIONS_ON_BEHALF), "delegations on behalf are disabled");
          // build the EIP-712 contract domain separator
          bytes32 domainSeparator = keccak256(abi.encode(DOMAIN_TYPEHASH, keccak256(bytes(name)), block.chainid, address(this)));
          // build the EIP-712 hashStruct of the delegation message
          bytes32 hashStruct = keccak256(abi.encode(DELEGATION_TYPEHASH, _to, _nonce, _exp));
          // calculate the EIP-712 digest "\\x19\\x01" ‖ domainSeparator ‖ hashStruct(message)
          bytes32 digest = keccak256(abi.encodePacked("\\x19\\x01", domainSeparator, hashStruct));
          // recover the address who signed the message with v, r, s
          address signer = ecrecover(digest, v, r, s);
          // perform message integrity and security validations
          require(signer != address(0), "invalid signature"); // Compound msg
          require(_nonce == nonces[signer], "invalid nonce"); // Compound msg
          require(block.timestamp < _exp, "signature expired"); // Compound msg
          // update the nonce for that particular signer to avoid replay attack
          nonces[signer]++;
          // delegate call to `__delegate` - execute the logic required
          __delegate(signer, _to);
        }
        /**
         * @dev Auxiliary function to delegate delegator's `_from` voting power to the delegate `_to`
         * @dev Writes to `votingDelegates` and `votingPowerHistory` mappings
         *
         * @param _from delegator who delegates his voting power
         * @param _to delegate who receives the voting power
         */
        function __delegate(address _from, address _to) private {
          // read current delegate to be replaced by a new one
          address _fromDelegate = votingDelegates[_from];
          // read current voting power (it is equal to token balance)
          uint256 _value = tokenBalances[_from];
          // reassign voting delegate to `_to`
          votingDelegates[_from] = _to;
          // update voting power for `_fromDelegate` and `_to`
          __moveVotingPower(_fromDelegate, _to, _value);
          // emit an event
          emit DelegateChanged(_from, _fromDelegate, _to);
        }
        /**
         * @dev Auxiliary function to move voting power `_value`
         *      from delegate `_from` to the delegate `_to`
         *
         * @dev Doesn't have any effect if `_from == _to`, or if `_value == 0`
         *
         * @param _from delegate to move voting power from
         * @param _to delegate to move voting power to
         * @param _value voting power to move from `_from` to `_to`
         */
        function __moveVotingPower(address _from, address _to, uint256 _value) private {
          // if there is no move (`_from == _to`) or there is nothing to move (`_value == 0`)
          if(_from == _to || _value == 0) {
            // return silently with no action
            return;
          }
          // if source address is not zero - decrease its voting power
          if(_from != address(0)) {
            // read current source address voting power
            uint256 _fromVal = getVotingPower(_from);
            // calculate decreased voting power
            // underflow is not possible by design:
            // voting power is limited by token balance which is checked by the callee
            uint256 _toVal = _fromVal - _value;
            // update source voting power from `_fromVal` to `_toVal`
            __updateVotingPower(_from, _fromVal, _toVal);
          }
          // if destination address is not zero - increase its voting power
          if(_to != address(0)) {
            // read current destination address voting power
            uint256 _fromVal = getVotingPower(_to);
            // calculate increased voting power
            // overflow is not possible by design:
            // max token supply limits the cumulative voting power
            uint256 _toVal = _fromVal + _value;
            // update destination voting power from `_fromVal` to `_toVal`
            __updateVotingPower(_to, _fromVal, _toVal);
          }
        }
        /**
         * @dev Auxiliary function to update voting power of the delegate `_of`
         *      from value `_fromVal` to value `_toVal`
         *
         * @param _of delegate to update its voting power
         * @param _fromVal old voting power of the delegate
         * @param _toVal new voting power of the delegate
         */
        function __updateVotingPower(address _of, uint256 _fromVal, uint256 _toVal) private {
          // get a link to an array of voting power history records for an address specified
          VotingPowerRecord[] storage history = votingPowerHistory[_of];
          // if there is an existing voting power value stored for current block
          if(history.length != 0 && history[history.length - 1].blockNumber == block.number) {
            // update voting power which is already stored in the current block
            history[history.length - 1].votingPower = uint192(_toVal);
          }
          // otherwise - if there is no value stored for current block
          else {
            // add new element into array representing the value for current block
            history.push(VotingPowerRecord(uint64(block.number), uint192(_toVal)));
          }
          // emit an event
          emit VotingPowerChanged(_of, _fromVal, _toVal);
        }
        /**
         * @dev Auxiliary function to lookup an element in a sorted (asc) array of elements
         *
         * @dev This function finds the closest element in an array to the value
         *      of interest (not exceeding that value) and returns its index within an array
         *
         * @dev An array to search in is `votingPowerHistory[_to][i].blockNumber`,
         *      it is sorted in ascending order (blockNumber increases)
         *
         * @param _to an address of the delegate to get an array for
         * @param n value of interest to look for
         * @return an index of the closest element in an array to the value
         *      of interest (not exceeding that value)
         */
        function __binaryLookup(address _to, uint256 n) private view returns(uint256) {
          // get a link to an array of voting power history records for an address specified
          VotingPowerRecord[] storage history = votingPowerHistory[_to];
          // left bound of the search interval, originally start of the array
          uint256 i = 0;
          // right bound of the search interval, originally end of the array
          uint256 j = history.length - 1;
          // the iteration process narrows down the bounds by
          // splitting the interval in a half oce per each iteration
          while(j > i) {
            // get an index in the middle of the interval [i, j]
            uint256 k = j - (j - i) / 2;
            // read an element to compare it with the value of interest
            VotingPowerRecord memory cp = history[k];
            // if we've got a strict equal - we're lucky and done
            if(cp.blockNumber == n) {
              // just return the result - index `k`
              return k;
            }
            // if the value of interest is bigger - move left bound to the middle
            else if (cp.blockNumber < n) {
              // move left bound `i` to the middle position `k`
              i = k;
            }
            // otherwise, when the value of interest is smaller - move right bound to the middle
            else {
              // move right bound `j` to the middle position `k - 1`:
              // element at position `k` is bigger and cannot be the result
              j = k - 1;
            }
          }
          // reaching that point means no exact match found
          // since we're interested in the element which is not bigger than the
          // element of interest, we return the lower bound `i`
          return i;
        }
      }
      // ===== End: DAO Support (Compound-like voting delegation) =====
      // SPDX-License-Identifier: MIT
      pragma solidity 0.8.1;
      /**
       * @title Access Control List
       *
       * @notice Access control smart contract provides an API to check
       *      if specific operation is permitted globally and/or
       *      if particular user has a permission to execute it.
       *
       * @notice It deals with two main entities: features and roles.
       *
       * @notice Features are designed to be used to enable/disable specific
       *      functions (public functions) of the smart contract for everyone.
       * @notice User roles are designed to restrict access to specific
       *      functions (restricted functions) of the smart contract to some users.
       *
       * @notice Terms "role", "permissions" and "set of permissions" have equal meaning
       *      in the documentation text and may be used interchangeably.
       * @notice Terms "permission", "single permission" implies only one permission bit set.
       *
       * @dev This smart contract is designed to be inherited by other
       *      smart contracts which require access control management capabilities.
       *
       * @author Basil Gorin
       */
      contract AccessControl {
        /**
         * @notice Access manager is responsible for assigning the roles to users,
         *      enabling/disabling global features of the smart contract
         * @notice Access manager can add, remove and update user roles,
         *      remove and update global features
         *
         * @dev Role ROLE_ACCESS_MANAGER allows modifying user roles and global features
         * @dev Role ROLE_ACCESS_MANAGER has single bit at position 255 enabled
         */
        uint256 public constant ROLE_ACCESS_MANAGER = 0x8000000000000000000000000000000000000000000000000000000000000000;
        /**
         * @dev Bitmask representing all the possible permissions (super admin role)
         * @dev Has all the bits are enabled (2^256 - 1 value)
         */
        uint256 private constant FULL_PRIVILEGES_MASK = type(uint256).max; // before 0.8.0: uint256(-1) overflows to 0xFFFF...
        /**
         * @notice Privileged addresses with defined roles/permissions
         * @notice In the context of ERC20/ERC721 tokens these can be permissions to
         *      allow minting or burning tokens, transferring on behalf and so on
         *
         * @dev Maps user address to the permissions bitmask (role), where each bit
         *      represents a permission
         * @dev Bitmask 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
         *      represents all possible permissions
         * @dev Zero address mapping represents global features of the smart contract
         */
        mapping(address => uint256) public userRoles;
        /**
         * @dev Fired in updateRole() and updateFeatures()
         *
         * @param _by operator which called the function
         * @param _to address which was granted/revoked permissions
         * @param _requested permissions requested
         * @param _actual permissions effectively set
         */
        event RoleUpdated(address indexed _by, address indexed _to, uint256 _requested, uint256 _actual);
        /**
         * @notice Creates an access control instance,
         *      setting contract creator to have full privileges
         */
        constructor() {
          // contract creator has full privileges
          userRoles[msg.sender] = FULL_PRIVILEGES_MASK;
        }
        /**
         * @notice Retrieves globally set of features enabled
         *
         * @dev Auxiliary getter function to maintain compatibility with previous
         *      versions of the Access Control List smart contract, where
         *      features was a separate uint256 public field
         *
         * @return 256-bit bitmask of the features enabled
         */
        function features() public view returns(uint256) {
          // according to new design features are stored in zero address
          // mapping of `userRoles` structure
          return userRoles[address(0)];
        }
        /**
         * @notice Updates set of the globally enabled features (`features`),
         *      taking into account sender's permissions
         *
         * @dev Requires transaction sender to have `ROLE_ACCESS_MANAGER` permission
         * @dev Function is left for backward compatibility with older versions
         *
         * @param _mask bitmask representing a set of features to enable/disable
         */
        function updateFeatures(uint256 _mask) public {
          // delegate call to `updateRole`
          updateRole(address(0), _mask);
        }
        /**
         * @notice Updates set of permissions (role) for a given user,
         *      taking into account sender's permissions.
         *
         * @dev Setting role to zero is equivalent to removing an all permissions
         * @dev Setting role to `FULL_PRIVILEGES_MASK` is equivalent to
         *      copying senders' permissions (role) to the user
         * @dev Requires transaction sender to have `ROLE_ACCESS_MANAGER` permission
         *
         * @param operator address of a user to alter permissions for or zero
         *      to alter global features of the smart contract
         * @param role bitmask representing a set of permissions to
         *      enable/disable for a user specified
         */
        function updateRole(address operator, uint256 role) public {
          // caller must have a permission to update user roles
          require(isSenderInRole(ROLE_ACCESS_MANAGER), "insufficient privileges (ROLE_ACCESS_MANAGER required)");
          // evaluate the role and reassign it
          userRoles[operator] = evaluateBy(msg.sender, userRoles[operator], role);
          // fire an event
          emit RoleUpdated(msg.sender, operator, role, userRoles[operator]);
        }
        /**
         * @notice Determines the permission bitmask an operator can set on the
         *      target permission set
         * @notice Used to calculate the permission bitmask to be set when requested
         *     in `updateRole` and `updateFeatures` functions
         *
         * @dev Calculated based on:
         *      1) operator's own permission set read from userRoles[operator]
         *      2) target permission set - what is already set on the target
         *      3) desired permission set - what do we want set target to
         *
         * @dev Corner cases:
         *      1) Operator is super admin and its permission set is `FULL_PRIVILEGES_MASK`:
         *        `desired` bitset is returned regardless of the `target` permission set value
         *        (what operator sets is what they get)
         *      2) Operator with no permissions (zero bitset):
         *        `target` bitset is returned regardless of the `desired` value
         *        (operator has no authority and cannot modify anything)
         *
         * @dev Example:
         *      Consider an operator with the permissions bitmask     00001111
         *      is about to modify the target permission set          01010101
         *      Operator wants to set that permission set to          00110011
         *      Based on their role, an operator has the permissions
         *      to update only lowest 4 bits on the target, meaning that
         *      high 4 bits of the target set in this example is left
         *      unchanged and low 4 bits get changed as desired:      01010011
         *
         * @param operator address of the contract operator which is about to set the permissions
         * @param target input set of permissions to operator is going to modify
         * @param desired desired set of permissions operator would like to set
         * @return resulting set of permissions given operator will set
         */
        function evaluateBy(address operator, uint256 target, uint256 desired) public view returns(uint256) {
          // read operator's permissions
          uint256 p = userRoles[operator];
          // taking into account operator's permissions,
          // 1) enable the permissions desired on the `target`
          target |= p & desired;
          // 2) disable the permissions desired on the `target`
          target &= FULL_PRIVILEGES_MASK ^ (p & (FULL_PRIVILEGES_MASK ^ desired));
          // return calculated result
          return target;
        }
        /**
         * @notice Checks if requested set of features is enabled globally on the contract
         *
         * @param required set of features to check against
         * @return true if all the features requested are enabled, false otherwise
         */
        function isFeatureEnabled(uint256 required) public view returns(bool) {
          // delegate call to `__hasRole`, passing `features` property
          return __hasRole(features(), required);
        }
        /**
         * @notice Checks if transaction sender `msg.sender` has all the permissions required
         *
         * @param required set of permissions (role) to check against
         * @return true if all the permissions requested are enabled, false otherwise
         */
        function isSenderInRole(uint256 required) public view returns(bool) {
          // delegate call to `isOperatorInRole`, passing transaction sender
          return isOperatorInRole(msg.sender, required);
        }
        /**
         * @notice Checks if operator has all the permissions (role) required
         *
         * @param operator address of the user to check role for
         * @param required set of permissions (role) to check
         * @return true if all the permissions requested are enabled, false otherwise
         */
        function isOperatorInRole(address operator, uint256 required) public view returns(bool) {
          // delegate call to `__hasRole`, passing operator's permissions (role)
          return __hasRole(userRoles[operator], required);
        }
        /**
         * @dev Checks if role `actual` contains all the permissions required `required`
         *
         * @param actual existent role
         * @param required required role
         * @return true if actual has required role (all permissions), false otherwise
         */
        function __hasRole(uint256 actual, uint256 required) internal pure returns(bool) {
          // check the bitmask for the role required and return the result
          return actual & required == required;
        }
      }
      // SPDX-License-Identifier: MIT
      pragma solidity 0.8.1;
      /**
       * @title Address Utils
       *
       * @dev Utility library of inline functions on addresses
       *
       * @author Basil Gorin
       */
      library AddressUtils {
        /**
         * @notice Checks if the target address is a contract
         * @dev This function will return false if invoked during the constructor of a contract,
         *      as the code is not actually created until after the constructor finishes.
         * @param addr address to check
         * @return whether the target address is a contract
         */
        function isContract(address addr) internal view returns (bool) {
          // a variable to load `extcodesize` to
          uint256 size = 0;
          // XXX Currently there is no better way to check if there is a contract in an address
          // than to check the size of the code at that address.
          // See https://ethereum.stackexchange.com/a/14016/36603 for more details about how this works.
          // TODO: Check this again before the Serenity release, because all addresses will be contracts.
          // solium-disable-next-line security/no-inline-assembly
          assembly {
            // retrieve the size of the code at address `addr`
            size := extcodesize(addr)
          }
          // positive size indicates a smart contract address
          return size > 0;
        }
      }