xChar
·5 months ago

转载于个人博客 https://www.hackdefi.xyz/posts/erc20-rebase-2/

引出Share

我们需要针对上面提出的问题进行优化,通过观察分红机制可以看出,所有account对应的balance都是按比例增加,那么这里的循环更新是否有存在的必要呢?是否可以全局记录一个系数,每次调用distribute时只更新这个系数,要查询balance时,乘上这个系数即可

那么这里就拆分出两个概念,balance和share,并且衍生出sharePrice,对于所有进入rebase的用户都只记录share,并且有一个全局的sharePrice,查询用户balance时需要根据share和sharePrice计算出balance,sharePrice在分红时增加

针对第一个版本,我们梳理一下需要修改的部分和积攒的问题:

  • 需要记录每个参与rebase的地址的share
  • share与balance如何映射
  • sharePrice在每次分红时如何累加

具体的改动如下:

  • 将mapping的value拓展为结构体,记录share
  • 将rebasingSupply改为totalShares
  • 定义初始sharePrice=1e30
    struct RebasingState {
        bool isRebasing;
        uint256 nShares;
    }
    mapping(address => RebasingState) internal rebasingAccount;
    uint256 public totalShares;
    uint256 public sharePrice = 1e30;

用下面的函数处理share和balance的映射关系:

    function rebasingSupply() public view returns (uint256) {
        return share2Balance(totalShares);
    }

    function nonRebasingSupply() public view returns (uint256) {
        return totalSupply() - rebasingSupply();
    }

    function share2Balance(uint256 shares) view public returns (uint256) {
        return shares * sharePrice / 1e30;
    }

    function balance2Share(uint256 balance) view public returns (uint256) {
        return balance * 1e30 / sharePrice ;
    }

继续改写enter/exit和distribute部分:

  • enter时先把balance转换为share,更新rebase记录
  • exit时把share转换为balance,移除rebase记录
  • distribute时,先销毁token,再更新sharePrice
    function _enterRebase(address user) internal {
        uint256 balance = balanceOf(user);
        uint256 shares = balance2Share(balance);
        rebasingAccount[user].isRebasing = true;
        rebasingAccount[user].nShares = shares;
        totalShares += shares;
        emit RebaseEnter(user, shares, block.timestamp);
    }

    function _exitRebase(address user)  internal {
        uint256 shares = rebasingAccount[user].nShares;
        rebasingAccount[user].isRebasing = false;
        rebasingAccount[user].nShares = 0;
        totalShares -= shares;
        emit RebaseExit(user, shares, block.timestamp);
    }

    function distribute(uint256 amount) external {
        require(balanceOf(msg.sender)>=amount, "SimpleERC20Rebase: not enough");
        _burn(msg.sender, amount);
        sharePrice += amount*1e30 / totalShares;
    }

ERC20方法重写

同时,我们需要对ERC20的几个方法进行重写:

  • balanceOf:对于参与rebase的用户需要用share转换到balance
  • mint burn transfer transferFrom:对于相关用户,如果之前参与rebase的需要先exit,操作后再enter
    function balanceOf(address account) public view override returns (uint256) {
        uint256 rawBalance = ERC20.balanceOf(account);
        if (rebasingAccount[account].isRebasing) {
            return share2Balance(rebasingAccount[account].nShares);
        } else {
            return rawBalance;
        }
    }

    function mint(address user, uint256 amount) external {
        bool isRebasing = rebasingAccount[user].isRebasing;
        if (isRebasing) {
            _exitRebase(user);
        }
        ERC20._mint(user, amount);
        if (isRebasing) {
            _enterRebase(user);
        }
    }
    
    function burn(address user, uint256 amount) external {
        bool isRebasing = rebasingAccount[user].isRebasing;
        if (isRebasing) {
            _exitRebase(user);
        }
        ERC20._burn(user, amount);
        if (isRebasing) {
            _enterRebase(user);
        }
    }
    
    function transfer(address to, uint256 amount)  public virtual override returns (bool) {
        bool isFromRebasing = rebasingAccount[msg.sender].isRebasing;
        bool isToRebasing = rebasingAccount[to].isRebasing;
        if (isFromRebasing) {
            _exitRebase(msg.sender);
        }
        if (isToRebasing && to != msg.sender) {
            _exitRebase(to);
        }
        bool result = ERC20.transfer(to, amount);
        if (isFromRebasing) {
            _enterRebase(msg.sender);
        }
        if (isToRebasing && to != msg.sender) {
            _enterRebase(to);
        }
        return result;
    }

    function transferFrom(
        address from,
        address to,
        uint256 amount
    ) public virtual override returns (bool) {
        bool isFromRebasing = rebasingAccount[from].isRebasing;
        bool isToRebasing = rebasingAccount[to].isRebasing;
        if (isFromRebasing) {
            _exitRebase(from);
        }
        if (isToRebasing && to != from) {
            _exitRebase(to);
        }
        bool result = ERC20.transfer(to, amount);
        if (isFromRebasing) {
            _enterRebase(from);
        }
        if (isToRebasing && to != from) {
            _enterRebase(to);
        }
        return result;
    }

遗留的问题

大致逻辑已经实现了,用户的balance也能通过share和sharePrice来正确计算,我们再来看是否满足了前面的恒等式:

  • totalSupply() == nonRebasingSupply() + rebasingSupply()
    • rebasingSupply可以用当前的share和sharePrice计算出,但是totalSupply我们没有重写,totalSupply=nonRebasingSupply,以distribute为例,nonRebasingSupply减少了,但是share不变,sharePrice还增加了,那么显然totalSupply小于rebasingSupply
  • sum of balanceOf(x) == totalSupply()
    • 同理,用户的share不变但是sharePrice增加了,显然totalSupply也偏小

那么缺少的这部分是什么?

Code

// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity 0.8.13;

import {ERC20} from "@openzeppelin/contracts/token/ERC20/ERC20.sol";

contract SimpleERC20Rebase is ERC20 {
    event RebaseEnter(address indexed account, uint256 indexed shares, uint256 indexed timestamp);
    event RebaseExit(address indexed account, uint256 indexed shares, uint256 indexed timestamp);
    
    struct RebasingState {
        bool isRebasing;
        uint256 nShares;
    }
    mapping(address => RebasingState) internal rebasingAccount;
    uint256 public totalShares;
    uint256 public sharePrice = 1e30;

    constructor(
        string memory _name,
        string memory _symbol
    ) ERC20(_name, _symbol) {}

    function rebasingSupply() public view returns (uint256) {
        return share2Balance(totalShares);
    }

    function nonRebasingSupply() public view returns (uint256) {
        return totalSupply() - rebasingSupply();
    }

    function share2Balance(uint256 shares) view public returns (uint256) {
        return shares * sharePrice / 1e30;
    }

    function balance2Share(uint256 balance) view public returns (uint256) {
        return balance * 1e30 / sharePrice ;
    }

    function enterRebase() external {
        require(!rebasingAccount[msg.sender].isRebasing, "SimpleERC20Rebase: already rebasing");
        _enterRebase(msg.sender);
    }

    function _enterRebase(address user) internal {
        uint256 balance = balanceOf(user);
        uint256 shares = balance2Share(balance);
        rebasingAccount[user].isRebasing = true;
        rebasingAccount[user].nShares = shares;
        totalShares += shares;
        emit RebaseEnter(user, shares, block.timestamp);
    }

    function exitRebase()  external {
        require(rebasingAccount[msg.sender].isRebasing, "SimpleERC20Rebase: not rebasing");
        _exitRebase(msg.sender);
    }

    function _exitRebase(address user)  internal {
        uint256 shares = rebasingAccount[user].nShares;
        rebasingAccount[user].isRebasing = false;
        rebasingAccount[user].nShares = 0;
        totalShares -= shares;
        emit RebaseExit(user, shares, block.timestamp);
    }

    function distribute(uint256 amount) external {
        require(balanceOf(msg.sender)>=amount, "SimpleERC20Rebase: not enough");
        _burn(msg.sender, amount);
        sharePrice += amount*1e30 / totalShares;
    }

    function balanceOf(address account) public view override returns (uint256) {
        uint256 rawBalance = ERC20.balanceOf(account);
        if (rebasingAccount[account].isRebasing) {
            return share2Balance(rebasingAccount[account].nShares);
        } else {
            return rawBalance;
        }
    }

    function mint(address user, uint256 amount) external {
        bool isRebasing = rebasingAccount[user].isRebasing;
        if (isRebasing) {
            _exitRebase(user);
        }
        ERC20._mint(user, amount);
        if (isRebasing) {
            _enterRebase(user);
        }
    }
    
    function burn(address user, uint256 amount) external {
        bool isRebasing = rebasingAccount[user].isRebasing;
        if (isRebasing) {
            _exitRebase(user);
        }
        ERC20._burn(user, amount);
        if (isRebasing) {
            _enterRebase(user);
        }
    }
    
    function transfer(address to, uint256 amount)  public virtual override returns (bool) {
        bool isFromRebasing = rebasingAccount[msg.sender].isRebasing;
        bool isToRebasing = rebasingAccount[to].isRebasing;
        if (isFromRebasing) {
            _exitRebase(msg.sender);
        }
        if (isToRebasing && to != msg.sender) {
            _exitRebase(to);
        }
        bool result = ERC20.transfer(to, amount);
        if (isFromRebasing) {
            _enterRebase(msg.sender);
        }
        if (isToRebasing && to != msg.sender) {
            _enterRebase(to);
        }
        return result;
    }

    function transferFrom(
        address from,
        address to,
        uint256 amount
    ) public virtual override returns (bool) {
        bool isFromRebasing = rebasingAccount[from].isRebasing;
        bool isToRebasing = rebasingAccount[to].isRebasing;
        if (isFromRebasing) {
            _exitRebase(from);
        }
        if (isToRebasing && to != from) {
            _exitRebase(to);
        }
        bool result = ERC20.transfer(to, amount);
        if (isFromRebasing) {
            _enterRebase(from);
        }
        if (isToRebasing && to != from) {
            _enterRebase(to);
        }
        return result;
    }
}
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