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ERC-20
Overview
Max Total Supply
68,988.163295760737307974 sdANGLElp-f
Holders
3
Market
Onchain Market Cap
$0.00
Circulating Supply Market Cap
-
Other Info
Token Contract (WITH 18 Decimals)
Balance
0 sdANGLElp-fValue
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# | Exchange | Pair | Price | 24H Volume | % Volume |
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Minimal Proxy Contract for 0xc629a01ec23ab04e1050500a3717a2a5c0701497
Contract Name:
Vyper_contract
Compiler Version
vyper:0.3.7
Contract Source Code (Vyper language format)
# @version 0.3.7 """ @title StableSwap @author Curve.Fi @license Copyright (c) Curve.Fi, 2020-2021 - all rights reserved @notice 2 coin pool implementation with no lending @dev ERC20 support for return True/revert, return True/False, return None """ from vyper.interfaces import ERC20 interface Factory: def convert_fees() -> bool: nonpayable def get_fee_receiver(_pool: address) -> address: view def admin() -> address: view interface ERC1271: def isValidSignature(_hash: bytes32, _signature: Bytes[65]) -> bytes32: view event Transfer: sender: indexed(address) receiver: indexed(address) value: uint256 event Approval: owner: indexed(address) spender: indexed(address) value: uint256 event TokenExchange: buyer: indexed(address) sold_id: int128 tokens_sold: uint256 bought_id: int128 tokens_bought: uint256 event AddLiquidity: provider: indexed(address) token_amounts: uint256[N_COINS] fees: uint256[N_COINS] invariant: uint256 token_supply: uint256 event RemoveLiquidity: provider: indexed(address) token_amounts: uint256[N_COINS] fees: uint256[N_COINS] token_supply: uint256 event RemoveLiquidityOne: provider: indexed(address) token_amount: uint256 coin_amount: uint256 token_supply: uint256 event RemoveLiquidityImbalance: provider: indexed(address) token_amounts: uint256[N_COINS] fees: uint256[N_COINS] invariant: uint256 token_supply: uint256 event RampA: old_A: uint256 new_A: uint256 initial_time: uint256 future_time: uint256 event StopRampA: A: uint256 t: uint256 event CommitNewFee: new_fee: uint256 event ApplyNewFee: fee: uint256 N_COINS: constant(uint256) = 2 N_COINS_128: constant(int128) = 2 PRECISION: constant(uint256) = 10 ** 18 ADMIN_ACTIONS_DEADLINE_DT: constant(uint256) = 86400 * 3 FEE_DENOMINATOR: constant(uint256) = 10 ** 10 ADMIN_FEE: constant(uint256) = 5000000000 A_PRECISION: constant(uint256) = 100 MAX_FEE: constant(uint256) = 5 * 10 ** 9 MAX_A: constant(uint256) = 10 ** 6 MAX_A_CHANGE: constant(uint256) = 10 MIN_RAMP_TIME: constant(uint256) = 86400 EIP712_TYPEHASH: constant(bytes32) = keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)") PERMIT_TYPEHASH: constant(bytes32) = keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)") # keccak256("isValidSignature(bytes32,bytes)")[:4] << 224 ERC1271_MAGIC_VAL: constant(bytes32) = 0x1626ba7e00000000000000000000000000000000000000000000000000000000 VERSION: constant(String[8]) = "v6.0.0" factory: address coins: public(address[N_COINS]) balances: public(uint256[N_COINS]) fee: public(uint256) # fee * 1e10 future_fee: public(uint256) admin_action_deadline: public(uint256) initial_A: public(uint256) future_A: public(uint256) initial_A_time: public(uint256) future_A_time: public(uint256) rate_multipliers: uint256[N_COINS] name: public(String[64]) symbol: public(String[32]) balanceOf: public(HashMap[address, uint256]) allowance: public(HashMap[address, HashMap[address, uint256]]) totalSupply: public(uint256) DOMAIN_SEPARATOR: public(bytes32) nonces: public(HashMap[address, uint256]) last_prices_packed: uint256 # [last_price, ma_price] ma_exp_time: public(uint256) ma_last_time: public(uint256) @external def __init__(): # we do this to prevent the implementation contract from being used as a pool self.factory = 0x0000000000000000000000000000000000000001 assert N_COINS == 2 @external def initialize( _name: String[32], _symbol: String[10], _coins: address[4], _rate_multipliers: uint256[4], _A: uint256, _fee: uint256, ): """ @notice Contract constructor @param _name Name of the new pool @param _symbol Token symbol @param _coins List of all ERC20 conract addresses of coins @param _rate_multipliers List of number of decimals in coins @param _A Amplification coefficient multiplied by n ** (n - 1) @param _fee Fee to charge for exchanges """ # check if factory was already set to prevent initializing contract twice assert self.factory == empty(address) for i in range(N_COINS): coin: address = _coins[i] if coin == empty(address): break self.coins[i] = coin self.rate_multipliers[i] = _rate_multipliers[i] A: uint256 = _A * A_PRECISION self.initial_A = A self.future_A = A self.fee = _fee self.factory = msg.sender self.ma_exp_time = 866 # = 600 / ln(2) self.last_prices_packed = self.pack_prices(10**18, 10**18) self.ma_last_time = block.timestamp name: String[64] = concat("Curve.fi Factory Plain Pool: ", _name) self.name = name self.symbol = concat(_symbol, "-f") self.DOMAIN_SEPARATOR = keccak256( _abi_encode(EIP712_TYPEHASH, keccak256(name), keccak256(VERSION), chain.id, self) ) # fire a transfer event so block explorers identify the contract as an ERC20 log Transfer(empty(address), self, 0) ### ERC20 Functionality ### @view @external def decimals() -> uint8: """ @notice Get the number of decimals for this token @dev Implemented as a view method to reduce gas costs @return uint8 decimal places """ return 18 @internal def _transfer(_from: address, _to: address, _value: uint256): # # NOTE: vyper does not allow underflows # # so the following subtraction would revert on insufficient balance self.balanceOf[_from] -= _value self.balanceOf[_to] += _value log Transfer(_from, _to, _value) @external def transfer(_to : address, _value : uint256) -> bool: """ @dev Transfer token for a specified address @param _to The address to transfer to. @param _value The amount to be transferred. """ self._transfer(msg.sender, _to, _value) return True @external def transferFrom(_from : address, _to : address, _value : uint256) -> bool: """ @dev Transfer tokens from one address to another. @param _from address The address which you want to send tokens from @param _to address The address which you want to transfer to @param _value uint256 the amount of tokens to be transferred """ self._transfer(_from, _to, _value) _allowance: uint256 = self.allowance[_from][msg.sender] if _allowance != max_value(uint256): self.allowance[_from][msg.sender] = _allowance - _value return True @external def approve(_spender : address, _value : uint256) -> bool: """ @notice Approve the passed address to transfer the specified amount of tokens on behalf of msg.sender @dev Beware that changing an allowance via this method brings the risk that someone may use both the old and new allowance by unfortunate transaction ordering: https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729 @param _spender The address which will transfer the funds @param _value The amount of tokens that may be transferred @return bool success """ self.allowance[msg.sender][_spender] = _value log Approval(msg.sender, _spender, _value) return True @external def permit( _owner: address, _spender: address, _value: uint256, _deadline: uint256, _v: uint8, _r: bytes32, _s: bytes32 ) -> bool: """ @notice Approves spender by owner's signature to expend owner's tokens. See https://eips.ethereum.org/EIPS/eip-2612. @dev Inspired by https://github.com/yearn/yearn-vaults/blob/main/contracts/Vault.vy#L753-L793 @dev Supports smart contract wallets which implement ERC1271 https://eips.ethereum.org/EIPS/eip-1271 @param _owner The address which is a source of funds and has signed the Permit. @param _spender The address which is allowed to spend the funds. @param _value The amount of tokens to be spent. @param _deadline The timestamp after which the Permit is no longer valid. @param _v The bytes[64] of the valid secp256k1 signature of permit by owner @param _r The bytes[0:32] of the valid secp256k1 signature of permit by owner @param _s The bytes[32:64] of the valid secp256k1 signature of permit by owner @return True, if transaction completes successfully """ assert _owner != empty(address) assert block.timestamp <= _deadline nonce: uint256 = self.nonces[_owner] digest: bytes32 = keccak256( concat( b"\x19\x01", self.DOMAIN_SEPARATOR, keccak256(_abi_encode(PERMIT_TYPEHASH, _owner, _spender, _value, nonce, _deadline)) ) ) if _owner.is_contract: sig: Bytes[65] = concat(_abi_encode(_r, _s), slice(convert(_v, bytes32), 31, 1)) # reentrancy not a concern since this is a staticcall assert ERC1271(_owner).isValidSignature(digest, sig) == ERC1271_MAGIC_VAL else: assert ecrecover(digest, convert(_v, uint256), convert(_r, uint256), convert(_s, uint256)) == _owner self.allowance[_owner][_spender] = _value self.nonces[_owner] = nonce + 1 log Approval(_owner, _spender, _value) return True ### StableSwap Functionality ### @pure @internal def pack_prices(p1: uint256, p2: uint256) -> uint256: assert p1 < 2**128 assert p2 < 2**128 return p1 | shift(p2, 128) @view @external def last_price() -> uint256: return self.last_prices_packed & (2**128 - 1) @view @external def ema_price() -> uint256: return shift(self.last_prices_packed, -128) @view @external def get_balances() -> uint256[N_COINS]: return self.balances @view @internal def _A() -> uint256: """ Handle ramping A up or down """ t1: uint256 = self.future_A_time A1: uint256 = self.future_A if block.timestamp < t1: A0: uint256 = self.initial_A t0: uint256 = self.initial_A_time # Expressions in uint256 cannot have negative numbers, thus "if" if A1 > A0: return A0 + (A1 - A0) * (block.timestamp - t0) / (t1 - t0) else: return A0 - (A0 - A1) * (block.timestamp - t0) / (t1 - t0) else: # when t1 == 0 or block.timestamp >= t1 return A1 @view @external def admin_fee() -> uint256: return ADMIN_FEE @view @external def A() -> uint256: return self._A() / A_PRECISION @view @external def A_precise() -> uint256: return self._A() @pure @internal def _xp_mem(_rates: uint256[N_COINS], _balances: uint256[N_COINS]) -> uint256[N_COINS]: result: uint256[N_COINS] = empty(uint256[N_COINS]) for i in range(N_COINS): result[i] = _rates[i] * _balances[i] / PRECISION return result @pure @internal def get_D(_xp: uint256[N_COINS], _amp: uint256) -> uint256: """ D invariant calculation in non-overflowing integer operations iteratively A * sum(x_i) * n**n + D = A * D * n**n + D**(n+1) / (n**n * prod(x_i)) Converging solution: D[j+1] = (A * n**n * sum(x_i) - D[j]**(n+1) / (n**n prod(x_i))) / (A * n**n - 1) """ S: uint256 = 0 for x in _xp: S += x if S == 0: return 0 D: uint256 = S Ann: uint256 = _amp * N_COINS for i in range(255): D_P: uint256 = D * D / _xp[0] * D / _xp[1] / N_COINS**N_COINS Dprev: uint256 = D D = (Ann * S / A_PRECISION + D_P * N_COINS) * D / ((Ann - A_PRECISION) * D / A_PRECISION + (N_COINS + 1) * D_P) # Equality with the precision of 1 if D > Dprev: if D - Dprev <= 1: return D else: if Dprev - D <= 1: return D # convergence typically occurs in 4 rounds or less, this should be unreachable! # if it does happen the pool is borked and LPs can withdraw via `remove_liquidity` raise @view @internal def get_D_mem(_rates: uint256[N_COINS], _balances: uint256[N_COINS], _amp: uint256) -> uint256: xp: uint256[N_COINS] = self._xp_mem(_rates, _balances) return self.get_D(xp, _amp) @internal @view def _get_p(xp: uint256[N_COINS], amp: uint256, D: uint256) -> uint256: # dx_0 / dx_1 only, however can have any number of coins in pool ANN: uint256 = amp * N_COINS Dr: uint256 = D / (N_COINS**N_COINS) for i in range(N_COINS): Dr = Dr * D / xp[i] return 10**18 * (ANN * xp[0] / A_PRECISION + Dr * xp[0] / xp[1]) / (ANN * xp[0] / A_PRECISION + Dr) @external @view def get_p() -> uint256: amp: uint256 = self._A() xp: uint256[N_COINS] = self._xp_mem(self.rate_multipliers, self.balances) D: uint256 = self.get_D(xp, amp) return self._get_p(xp, amp, D) @internal @view def exp(power: int256) -> uint256: if power <= -42139678854452767551: return 0 if power >= 135305999368893231589: raise "exp overflow" x: int256 = unsafe_div(unsafe_mul(power, 2**96), 10**18) k: int256 = unsafe_div( unsafe_add( unsafe_div(unsafe_mul(x, 2**96), 54916777467707473351141471128), 2**95), 2**96) x = unsafe_sub(x, unsafe_mul(k, 54916777467707473351141471128)) y: int256 = unsafe_add(x, 1346386616545796478920950773328) y = unsafe_add(unsafe_div(unsafe_mul(y, x), 2**96), 57155421227552351082224309758442) p: int256 = unsafe_sub(unsafe_add(y, x), 94201549194550492254356042504812) p = unsafe_add(unsafe_div(unsafe_mul(p, y), 2**96), 28719021644029726153956944680412240) p = unsafe_add(unsafe_mul(p, x), (4385272521454847904659076985693276 * 2**96)) q: int256 = x - 2855989394907223263936484059900 q = unsafe_add(unsafe_div(unsafe_mul(q, x), 2**96), 50020603652535783019961831881945) q = unsafe_sub(unsafe_div(unsafe_mul(q, x), 2**96), 533845033583426703283633433725380) q = unsafe_add(unsafe_div(unsafe_mul(q, x), 2**96), 3604857256930695427073651918091429) q = unsafe_sub(unsafe_div(unsafe_mul(q, x), 2**96), 14423608567350463180887372962807573) q = unsafe_add(unsafe_div(unsafe_mul(q, x), 2**96), 26449188498355588339934803723976023) return shift( unsafe_mul(convert(unsafe_div(p, q), uint256), 3822833074963236453042738258902158003155416615667), unsafe_sub(k, 195)) @internal @view def _ma_price() -> uint256: ma_last_time: uint256 = self.ma_last_time pp: uint256 = self.last_prices_packed last_price: uint256 = pp & (2**128 - 1) last_ema_price: uint256 = shift(pp, -128) if ma_last_time < block.timestamp: alpha: uint256 = self.exp(- convert((block.timestamp - ma_last_time) * 10**18 / self.ma_exp_time, int256)) return (last_price * (10**18 - alpha) + last_ema_price * alpha) / 10**18 else: return last_ema_price @external @view @nonreentrant('lock') def price_oracle() -> uint256: return self._ma_price() @internal def save_p_from_price(last_price: uint256): """ Saves current price and its EMA """ if last_price != 0: self.last_prices_packed = self.pack_prices(last_price, self._ma_price()) if self.ma_last_time < block.timestamp: self.ma_last_time = block.timestamp @internal def save_p(xp: uint256[N_COINS], amp: uint256, D: uint256): """ Saves current price and its EMA """ self.save_p_from_price(self._get_p(xp, amp, D)) @view @external @nonreentrant('lock') def get_virtual_price() -> uint256: """ @notice The current virtual price of the pool LP token @dev Useful for calculating profits @return LP token virtual price normalized to 1e18 """ amp: uint256 = self._A() xp: uint256[N_COINS] = self._xp_mem(self.rate_multipliers, self.balances) D: uint256 = self.get_D(xp, amp) # D is in the units similar to DAI (e.g. converted to precision 1e18) # When balanced, D = n * x_u - total virtual value of the portfolio return D * PRECISION / self.totalSupply @view @external def calc_token_amount(_amounts: uint256[N_COINS], _is_deposit: bool) -> uint256: """ @notice Calculate addition or reduction in token supply from a deposit or withdrawal @dev This calculation accounts for slippage, but not fees. Needed to prevent front-running, not for precise calculations! @param _amounts Amount of each coin being deposited @param _is_deposit set True for deposits, False for withdrawals @return Expected amount of LP tokens received """ amp: uint256 = self._A() balances: uint256[N_COINS] = self.balances D0: uint256 = self.get_D_mem(self.rate_multipliers, balances, amp) for i in range(N_COINS): amount: uint256 = _amounts[i] if _is_deposit: balances[i] += amount else: balances[i] -= amount D1: uint256 = self.get_D_mem(self.rate_multipliers, balances, amp) diff: uint256 = 0 if _is_deposit: diff = D1 - D0 else: diff = D0 - D1 return diff * self.totalSupply / D0 @external @nonreentrant('lock') def add_liquidity( _amounts: uint256[N_COINS], _min_mint_amount: uint256, _receiver: address = msg.sender ) -> uint256: """ @notice Deposit coins into the pool @param _amounts List of amounts of coins to deposit @param _min_mint_amount Minimum amount of LP tokens to mint from the deposit @param _receiver Address that owns the minted LP tokens @return Amount of LP tokens received by depositing """ amp: uint256 = self._A() old_balances: uint256[N_COINS] = self.balances rates: uint256[N_COINS] = self.rate_multipliers # Initial invariant D0: uint256 = self.get_D_mem(rates, old_balances, amp) total_supply: uint256 = self.totalSupply new_balances: uint256[N_COINS] = old_balances for i in range(N_COINS): amount: uint256 = _amounts[i] if amount > 0: assert ERC20(self.coins[i]).transferFrom(msg.sender, self, amount, default_return_value=True) # dev: failed transfer new_balances[i] += amount else: assert total_supply != 0 # dev: initial deposit requires all coins # Invariant after change D1: uint256 = self.get_D_mem(rates, new_balances, amp) assert D1 > D0 # We need to recalculate the invariant accounting for fees # to calculate fair user's share fees: uint256[N_COINS] = empty(uint256[N_COINS]) mint_amount: uint256 = 0 if total_supply > 0: # Only account for fees if we are not the first to deposit base_fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1)) for i in range(N_COINS): ideal_balance: uint256 = D1 * old_balances[i] / D0 difference: uint256 = 0 new_balance: uint256 = new_balances[i] if ideal_balance > new_balance: difference = ideal_balance - new_balance else: difference = new_balance - ideal_balance fees[i] = base_fee * difference / FEE_DENOMINATOR self.balances[i] = new_balance - (fees[i] * ADMIN_FEE / FEE_DENOMINATOR) new_balances[i] -= fees[i] xp: uint256[N_COINS] = self._xp_mem(rates, new_balances) D2: uint256 = self.get_D(xp, amp) mint_amount = total_supply * (D2 - D0) / D0 self.save_p(xp, amp, D2) else: self.balances = new_balances mint_amount = D1 # Take the dust if there was any assert mint_amount >= _min_mint_amount, "Slippage screwed you" # Mint pool tokens total_supply += mint_amount self.balanceOf[_receiver] += mint_amount self.totalSupply = total_supply log Transfer(empty(address), _receiver, mint_amount) log AddLiquidity(msg.sender, _amounts, fees, D1, total_supply) return mint_amount @view @internal def get_y(i: int128, j: int128, x: uint256, xp: uint256[N_COINS], _amp: uint256, _D: uint256) -> uint256: """ Calculate x[j] if one makes x[i] = x Done by solving quadratic equation iteratively. x_1**2 + x_1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A) x_1**2 + b*x_1 = c x_1 = (x_1**2 + c) / (2*x_1 + b) """ # x in the input is converted to the same price/precision assert i != j # dev: same coin assert j >= 0 # dev: j below zero assert j < N_COINS_128 # dev: j above N_COINS # should be unreachable, but good for safety assert i >= 0 assert i < N_COINS_128 amp: uint256 = _amp D: uint256 = _D if _D == 0: amp = self._A() D = self.get_D(xp, amp) S_: uint256 = 0 _x: uint256 = 0 y_prev: uint256 = 0 c: uint256 = D Ann: uint256 = amp * N_COINS for _i in range(N_COINS_128): if _i == i: _x = x elif _i != j: _x = xp[_i] else: continue S_ += _x c = c * D / (_x * N_COINS) c = c * D * A_PRECISION / (Ann * N_COINS) b: uint256 = S_ + D * A_PRECISION / Ann # - D y: uint256 = D for _i in range(255): y_prev = y y = (y*y + c) / (2 * y + b - D) # Equality with the precision of 1 if y > y_prev: if y - y_prev <= 1: return y else: if y_prev - y <= 1: return y raise @view @external def get_dy(i: int128, j: int128, dx: uint256) -> uint256: """ @notice Calculate the current output dy given input dx @dev Index values can be found via the `coins` public getter method @param i Index value for the coin to send @param j Index valie of the coin to recieve @param dx Amount of `i` being exchanged @return Amount of `j` predicted """ rates: uint256[N_COINS] = self.rate_multipliers xp: uint256[N_COINS] = self._xp_mem(rates, self.balances) x: uint256 = xp[i] + (dx * rates[i] / PRECISION) y: uint256 = self.get_y(i, j, x, xp, 0, 0) dy: uint256 = xp[j] - y - 1 fee: uint256 = self.fee * dy / FEE_DENOMINATOR return (dy - fee) * PRECISION / rates[j] # get_dx XXX @external @nonreentrant('lock') def exchange( i: int128, j: int128, _dx: uint256, _min_dy: uint256, _receiver: address = msg.sender, ) -> uint256: """ @notice Perform an exchange between two coins @dev Index values can be found via the `coins` public getter method @param i Index value for the coin to send @param j Index valie of the coin to recieve @param _dx Amount of `i` being exchanged @param _min_dy Minimum amount of `j` to receive @return Actual amount of `j` received """ rates: uint256[N_COINS] = self.rate_multipliers old_balances: uint256[N_COINS] = self.balances xp: uint256[N_COINS] = self._xp_mem(rates, old_balances) x: uint256 = xp[i] + _dx * rates[i] / PRECISION amp: uint256 = self._A() D: uint256 = self.get_D(xp, amp) y: uint256 = self.get_y(i, j, x, xp, amp, D) dy: uint256 = xp[j] - y - 1 # -1 just in case there were some rounding errors dy_fee: uint256 = dy * self.fee / FEE_DENOMINATOR # Convert all to real units dy = (dy - dy_fee) * PRECISION / rates[j] assert dy >= _min_dy, "Exchange resulted in fewer coins than expected" # xp is not used anymore, so we reuse it for price calc xp[i] = x xp[j] = y # D is not changed because we did not apply a fee self.save_p(xp, amp, D) dy_admin_fee: uint256 = dy_fee * ADMIN_FEE / FEE_DENOMINATOR dy_admin_fee = dy_admin_fee * PRECISION / rates[j] # Change balances exactly in same way as we change actual ERC20 coin amounts self.balances[i] = old_balances[i] + _dx # When rounding errors happen, we undercharge admin fee in favor of LP self.balances[j] = old_balances[j] - dy - dy_admin_fee assert ERC20(self.coins[i]).transferFrom(msg.sender, self, _dx, default_return_value=True) # dev: failed transfer assert ERC20(self.coins[j]).transfer(_receiver, dy, default_return_value=True) # dev: failed transfer log TokenExchange(msg.sender, i, _dx, j, dy) return dy @external @nonreentrant('lock') def remove_liquidity( _burn_amount: uint256, _min_amounts: uint256[N_COINS], _receiver: address = msg.sender ) -> uint256[N_COINS]: """ @notice Withdraw coins from the pool @dev Withdrawal amounts are based on current deposit ratios @param _burn_amount Quantity of LP tokens to burn in the withdrawal @param _min_amounts Minimum amounts of underlying coins to receive @param _receiver Address that receives the withdrawn coins @return List of amounts of coins that were withdrawn """ total_supply: uint256 = self.totalSupply amounts: uint256[N_COINS] = empty(uint256[N_COINS]) for i in range(N_COINS): old_balance: uint256 = self.balances[i] value: uint256 = old_balance * _burn_amount / total_supply assert value >= _min_amounts[i], "Withdrawal resulted in fewer coins than expected" self.balances[i] = old_balance - value amounts[i] = value assert ERC20(self.coins[i]).transfer(_receiver, value, default_return_value=True) # dev: failed transfer total_supply -= _burn_amount self.balanceOf[msg.sender] -= _burn_amount self.totalSupply = total_supply log Transfer(msg.sender, empty(address), _burn_amount) log RemoveLiquidity(msg.sender, amounts, empty(uint256[N_COINS]), total_supply) return amounts @external @nonreentrant('lock') def remove_liquidity_imbalance( _amounts: uint256[N_COINS], _max_burn_amount: uint256, _receiver: address = msg.sender ) -> uint256: """ @notice Withdraw coins from the pool in an imbalanced amount @param _amounts List of amounts of underlying coins to withdraw @param _max_burn_amount Maximum amount of LP token to burn in the withdrawal @param _receiver Address that receives the withdrawn coins @return Actual amount of the LP token burned in the withdrawal """ amp: uint256 = self._A() rates: uint256[N_COINS] = self.rate_multipliers old_balances: uint256[N_COINS] = self.balances D0: uint256 = self.get_D_mem(rates, old_balances, amp) new_balances: uint256[N_COINS] = old_balances for i in range(N_COINS): amount: uint256 = _amounts[i] if amount != 0: new_balances[i] -= amount assert ERC20(self.coins[i]).transfer(_receiver, amount, default_return_value=True) # dev: failed transfer D1: uint256 = self.get_D_mem(rates, new_balances, amp) fees: uint256[N_COINS] = empty(uint256[N_COINS]) base_fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1)) for i in range(N_COINS): ideal_balance: uint256 = D1 * old_balances[i] / D0 difference: uint256 = 0 new_balance: uint256 = new_balances[i] if ideal_balance > new_balance: difference = ideal_balance - new_balance else: difference = new_balance - ideal_balance fees[i] = base_fee * difference / FEE_DENOMINATOR self.balances[i] = new_balance - (fees[i] * ADMIN_FEE / FEE_DENOMINATOR) new_balances[i] -= fees[i] new_balances = self._xp_mem(rates, new_balances) D2: uint256 = self.get_D(new_balances, amp) self.save_p(new_balances, amp, D2) total_supply: uint256 = self.totalSupply burn_amount: uint256 = ((D0 - D2) * total_supply / D0) + 1 assert burn_amount > 1 # dev: zero tokens burned assert burn_amount <= _max_burn_amount, "Slippage screwed you" total_supply -= burn_amount self.totalSupply = total_supply self.balanceOf[msg.sender] -= burn_amount log Transfer(msg.sender, empty(address), burn_amount) log RemoveLiquidityImbalance(msg.sender, _amounts, fees, D1, total_supply) return burn_amount @pure @internal def get_y_D(A: uint256, i: int128, xp: uint256[N_COINS], D: uint256) -> uint256: """ Calculate x[i] if one reduces D from being calculated for xp to D Done by solving quadratic equation iteratively. x_1**2 + x_1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A) x_1**2 + b*x_1 = c x_1 = (x_1**2 + c) / (2*x_1 + b) """ # x in the input is converted to the same price/precision assert i >= 0 # dev: i below zero assert i < N_COINS_128 # dev: i above N_COINS S_: uint256 = 0 _x: uint256 = 0 y_prev: uint256 = 0 c: uint256 = D Ann: uint256 = A * N_COINS for _i in range(N_COINS_128): if _i != i: _x = xp[_i] else: continue S_ += _x c = c * D / (_x * N_COINS) c = c * D * A_PRECISION / (Ann * N_COINS) b: uint256 = S_ + D * A_PRECISION / Ann y: uint256 = D for _i in range(255): y_prev = y y = (y*y + c) / (2 * y + b - D) # Equality with the precision of 1 if y > y_prev: if y - y_prev <= 1: return y else: if y_prev - y <= 1: return y raise @view @internal def _calc_withdraw_one_coin(_burn_amount: uint256, i: int128) -> uint256[3]: # First, need to calculate # * Get current D # * Solve Eqn against y_i for D - _token_amount amp: uint256 = self._A() rates: uint256[N_COINS] = self.rate_multipliers xp: uint256[N_COINS] = self._xp_mem(rates, self.balances) D0: uint256 = self.get_D(xp, amp) total_supply: uint256 = self.totalSupply D1: uint256 = D0 - _burn_amount * D0 / total_supply new_y: uint256 = self.get_y_D(amp, i, xp, D1) base_fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1)) xp_reduced: uint256[N_COINS] = empty(uint256[N_COINS]) for j in range(N_COINS_128): dx_expected: uint256 = 0 xp_j: uint256 = xp[j] if j == i: dx_expected = xp_j * D1 / D0 - new_y else: dx_expected = xp_j - xp_j * D1 / D0 xp_reduced[j] = xp_j - base_fee * dx_expected / FEE_DENOMINATOR dy: uint256 = xp_reduced[i] - self.get_y_D(amp, i, xp_reduced, D1) dy_0: uint256 = (xp[i] - new_y) * PRECISION / rates[i] # w/o fees dy = (dy - 1) * PRECISION / rates[i] # Withdraw less to account for rounding errors xp[i] = new_y last_p: uint256 = 0 if new_y > 0: last_p = self._get_p(xp, amp, D1) return [dy, dy_0 - dy, last_p] @view @external def calc_withdraw_one_coin(_burn_amount: uint256, i: int128) -> uint256: """ @notice Calculate the amount received when withdrawing a single coin @param _burn_amount Amount of LP tokens to burn in the withdrawal @param i Index value of the coin to withdraw @return Amount of coin received """ return self._calc_withdraw_one_coin(_burn_amount, i)[0] @external @nonreentrant('lock') def remove_liquidity_one_coin( _burn_amount: uint256, i: int128, _min_received: uint256, _receiver: address = msg.sender, ) -> uint256: """ @notice Withdraw a single coin from the pool @param _burn_amount Amount of LP tokens to burn in the withdrawal @param i Index value of the coin to withdraw @param _min_received Minimum amount of coin to receive @param _receiver Address that receives the withdrawn coins @return Amount of coin received """ dy: uint256[3] = self._calc_withdraw_one_coin(_burn_amount, i) assert dy[0] >= _min_received, "Not enough coins removed" self.balances[i] -= (dy[0] + dy[1] * ADMIN_FEE / FEE_DENOMINATOR) total_supply: uint256 = self.totalSupply - _burn_amount self.totalSupply = total_supply self.balanceOf[msg.sender] -= _burn_amount log Transfer(msg.sender, empty(address), _burn_amount) assert ERC20(self.coins[i]).transfer(_receiver, dy[0], default_return_value=True) # dev: failed transfer log RemoveLiquidityOne(msg.sender, _burn_amount, dy[0], total_supply) self.save_p_from_price(dy[2]) return dy[0] @external def ramp_A(_future_A: uint256, _future_time: uint256): assert msg.sender == Factory(self.factory).admin() # dev: only owner assert block.timestamp >= self.initial_A_time + MIN_RAMP_TIME assert _future_time >= block.timestamp + MIN_RAMP_TIME # dev: insufficient time _initial_A: uint256 = self._A() _future_A_p: uint256 = _future_A * A_PRECISION assert _future_A > 0 and _future_A < MAX_A if _future_A_p < _initial_A: assert _future_A_p * MAX_A_CHANGE >= _initial_A else: assert _future_A_p <= _initial_A * MAX_A_CHANGE self.initial_A = _initial_A self.future_A = _future_A_p self.initial_A_time = block.timestamp self.future_A_time = _future_time log RampA(_initial_A, _future_A_p, block.timestamp, _future_time) @external def stop_ramp_A(): assert msg.sender == Factory(self.factory).admin() # dev: only owner current_A: uint256 = self._A() self.initial_A = current_A self.future_A = current_A self.initial_A_time = block.timestamp self.future_A_time = block.timestamp # now (block.timestamp < t1) is always False, so we return saved A log StopRampA(current_A, block.timestamp) @external def set_ma_exp_time(_ma_exp_time: uint256): assert msg.sender == Factory(self.factory).admin() # dev: only owner assert _ma_exp_time != 0 self.ma_exp_time = _ma_exp_time @view @external def admin_balances(i: uint256) -> uint256: return ERC20(self.coins[i]).balanceOf(self) - self.balances[i] @external def commit_new_fee(_new_fee: uint256): assert msg.sender == Factory(self.factory).admin() assert _new_fee <= MAX_FEE assert self.admin_action_deadline == 0 self.future_fee = _new_fee self.admin_action_deadline = block.timestamp + ADMIN_ACTIONS_DEADLINE_DT log CommitNewFee(_new_fee) @external def apply_new_fee(): assert msg.sender == Factory(self.factory).admin() deadline: uint256 = self.admin_action_deadline assert deadline != 0 and block.timestamp >= deadline fee: uint256 = self.future_fee self.fee = fee self.admin_action_deadline = 0 log ApplyNewFee(fee) @external def withdraw_admin_fees(): receiver: address = Factory(self.factory).get_fee_receiver(self) for i in range(N_COINS): coin: address = self.coins[i] fees: uint256 = ERC20(coin).balanceOf(self) - self.balances[i] assert ERC20(coin).transfer(receiver, fees, default_return_value=True) @pure @external def version() -> String[8]: """ @notice Get the version of this token contract """ return VERSION
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A token is a representation of an on-chain or off-chain asset. The token page shows information such as price, total supply, holders, transfers and social links. Learn more about this page in our Knowledge Base.