Contract Source Code (Vyper language format)

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# @version 0.3.7
"""
@title FRXETH StableSwap
@author Curve.Fi
@license Copyright (c) Curve.Fi, 2020-2022 - all rights reserved
@notice Curve ETH pool implementation
"""

from vyper.interfaces import ERC20

interface CurveToken:
    def totalSupply() -> uint256: view
    def mint(_to: address, _value: uint256) -> bool: nonpayable
    def burnFrom(_to: address, _value: uint256) -> bool: nonpayable


# Events
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 CommitNewAdmin:
    deadline: indexed(uint256)
    admin: indexed(address)

event NewAdmin:
    admin: indexed(address)

event CommitNewFee:
    deadline: indexed(uint256)
    fee: uint256
    admin_fee: uint256

event NewFee:
    fee: uint256
    admin_fee: uint256

event RampA:
    old_A: uint256
    new_A: uint256
    initial_time: uint256
    future_time: uint256

event StopRampA:
    A: uint256
    t: uint256


# These constants must be set prior to compiling
N_COINS: constant(uint256) = 2
N_COINS_128: constant(int128) = 2

# fixed constants
FEE_DENOMINATOR: constant(uint256) = 10 ** 10
PRECISION: constant(uint256) = 10 ** 18  # The precision to convert to

MAX_ADMIN_FEE: constant(uint256) = 10 * 10 ** 9
MAX_FEE: constant(uint256) = 5 * 10 ** 9
MAX_A: constant(uint256) = 10 ** 6
MAX_A_CHANGE: constant(uint256) = 10

ADMIN_ACTIONS_DELAY: constant(uint256) = 3 * 86400
MIN_RAMP_TIME: constant(uint256) = 86400

coins: public(address[N_COINS])
balances: public(uint256[N_COINS])
fee: public(uint256)  # fee * 1e10
admin_fee: public(uint256)  # admin_fee * 1e10

owner: public(address)
lp_token: public(address)

A_PRECISION: constant(uint256) = 100
initial_A: public(uint256)
future_A: public(uint256)
initial_A_time: public(uint256)
future_A_time: public(uint256)

admin_actions_deadline: public(uint256)
transfer_ownership_deadline: public(uint256)
future_fee: public(uint256)
future_admin_fee: public(uint256)
future_owner: public(address)

ma_price: uint256
ma_exp_time: public(uint256)
ma_last_time: public(uint256)

is_killed: bool
kill_deadline: uint256
KILL_DEADLINE_DT: constant(uint256) = 2 * 30 * 86400


@external
def __init__(
    _owner: address,
    _coins: address[N_COINS],
    _pool_token: address,
    _A: uint256,
    _fee: uint256,
    _admin_fee: uint256
):
    """
    @notice Contract constructor
    @param _owner Contract owner address
    @param _coins Addresses of ERC20 conracts of coins
    @param _pool_token Address of the token representing LP share
    @param _A Amplification coefficient multiplied by n * (n - 1)
    @param _fee Fee to charge for exchanges
    @param _admin_fee Admin fee
    """
    for i in range(N_COINS):
        assert _coins[i] != empty(address)
    self.coins = _coins
    self.initial_A = _A * A_PRECISION
    self.future_A = _A * A_PRECISION
    self.fee = _fee
    self.admin_fee = _admin_fee
    self.owner = _owner
    self.kill_deadline = block.timestamp + KILL_DEADLINE_DT
    self.lp_token = _pool_token

    self.ma_exp_time = 2597  # = 1800 / ln(2)  # 30 mins
    self.ma_price = 10**18
    self.ma_last_time = block.timestamp


@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 A() -> uint256:
    return self._A() / A_PRECISION


@view
@external
def A_precise() -> uint256:
    return self._A()


@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
    Dprev: 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
        for _x in _xp:
            D_P = D_P * D / (_x * N_COINS)  # If division by 0, this will be borked: only withdrawal will work. And that is good
        Dprev = 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


@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
@nonreentrant('lock')
def get_p() -> uint256:
    amp: uint256 = self._A()
    xp: uint256[N_COINS] = self.balances
    D: uint256 = self._get_D(xp, amp)
    return self._get_p(xp, amp, D)


@internal
@view
def exp(power: int256) -> uint256:
    # courtesy of solmate
    # https://github.com/transmissions11/solmate/blob/master/src/utils/SignedWadMath.sol#L83
    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 = unsafe_sub(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 unsafe_div(
        unsafe_mul(convert(unsafe_div(p, q), uint256), 3822833074963236453042738258902158003155416615667),
        pow_mod256(2, convert(unsafe_sub(195, k), uint256))
    )


@internal
@view
def _ma_price(xp: uint256[N_COINS], amp: uint256, D: uint256) -> uint256:
    p: uint256 = self._get_p(xp, amp, D)
    ema_mul: uint256 = self.exp(-convert((block.timestamp - self.ma_last_time) * 10**18 / self.ma_exp_time, int256))
    return (self.ma_price * ema_mul + p * (10**18 - ema_mul)) / 10**18


@external
@view
@nonreentrant('lock')
def price_oracle() -> uint256:
    amp: uint256 = self._A()
    xp: uint256[N_COINS] = self.balances
    D: uint256 = self._get_D(xp, amp)
    return self._ma_price(xp, amp, D)


@internal
def save_p(xp: uint256[N_COINS], amp: uint256, D: uint256):
    """
    Saves current price and its EMA
    """
    self.ma_price = self._ma_price(xp, amp, D)
    self.ma_last_time = block.timestamp


@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
    """
    D: uint256 = self._get_D(self.balances, self._A())
    # 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
    token_supply: uint256 = ERC20(self.lp_token).totalSupply()
    return D * PRECISION / token_supply


@view
@external
@nonreentrant('lock')
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(balances, amp)
    for i in range(N_COINS):
        if _is_deposit:
            balances[i] += _amounts[i]
        else:
            balances[i] -= _amounts[i]
    D1: uint256 = self._get_D(balances, amp)
    token_amount: uint256 = CurveToken(self.lp_token).totalSupply()
    diff: uint256 = 0
    if _is_deposit:
        diff = D1 - D0
    else:
        diff = D0 - D1
    return diff * token_amount / D0


@payable
@external
@nonreentrant('lock')
def add_liquidity(_amounts: uint256[N_COINS], _min_mint_amount: uint256) -> 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
    @return Amount of LP tokens received by depositing
    """
    assert not self.is_killed  # dev: is killed

    amp: uint256 = self._A()
    old_balances: uint256[N_COINS] = self.balances
    
    # Initial invariant
    D0: uint256 = self._get_D(old_balances, amp)

    lp_token: address = self.lp_token
    token_supply: uint256 = ERC20(lp_token).totalSupply()
    new_balances: uint256[N_COINS] = empty(uint256[N_COINS])
    for i in range(N_COINS):
        if token_supply == 0:
            assert _amounts[i] > 0  # dev: initial deposit requires all coins
        new_balances[i] = old_balances[i] + _amounts[i]

    # Invariant after change
    D1: uint256 = self._get_D(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
    D2: uint256 = D1
    if token_supply > 0:
        # Only account for fees if we are not the first to deposit
        fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
        admin_fee: uint256 = self.admin_fee
        for i in range(N_COINS):
            ideal_balance: uint256 = D1 * old_balances[i] / D0
            difference: uint256 = 0
            if ideal_balance > new_balances[i]:
                difference = ideal_balance - new_balances[i]
            else:
                difference = new_balances[i] - ideal_balance
            fees[i] = fee * difference / FEE_DENOMINATOR
            self.balances[i] = new_balances[i] - (fees[i] * admin_fee / FEE_DENOMINATOR)
            new_balances[i] -= fees[i]
        D2 = self._get_D(new_balances, amp)
        mint_amount = token_supply * (D2 - D0) / D0
        self.save_p(new_balances, 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"

    # Take coins from the sender
    for i in range(N_COINS):
        coin: address = self.coins[i]
        amount: uint256 = _amounts[i]
        if coin == 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE:
            assert msg.value == amount
        elif amount > 0:
            assert ERC20(coin).transferFrom(msg.sender, self, amount, default_return_value=True)

    # Mint pool tokens
    CurveToken(lp_token).mint(msg.sender, mint_amount)

    log AddLiquidity(msg.sender, _amounts, fees, D1, token_supply + mint_amount)

    return mint_amount


@view
@internal
def _get_y(i: int128, j: int128, x: uint256, _xp: uint256[N_COINS]) -> 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

    A: uint256 = self._A()
    D: uint256 = self._get_D(_xp, A)
    Ann: uint256 = A * N_COINS
    c: uint256 = D
    S: uint256 = 0
    _x: uint256 = 0
    y_prev: uint256 = 0

    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
@nonreentrant('lock')
def get_dy(i: int128, j: int128, _dx: uint256) -> uint256:
    xp: uint256[N_COINS] = self.balances
    x: uint256 = xp[i] + _dx
    y: uint256 = self._get_y(i, j, x, xp)
    dy: uint256 = xp[j] - y - 1
    fee: uint256 = self.fee * dy / FEE_DENOMINATOR
    return dy - fee


@payable
@external
@nonreentrant('lock')
def exchange(i: int128, j: int128, _dx: uint256, _min_dy: uint256) -> 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
    """
    assert not self.is_killed  # dev: is killed

    old_balances: uint256[N_COINS] = self.balances

    x: uint256 = old_balances[i] + _dx

    amp: uint256 = self._A()
    D: uint256 = self._get_D(old_balances, amp)
    y: uint256 = self._get_y(i, j, x, old_balances)

    dy: uint256 = old_balances[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
    assert dy >= _min_dy, "Exchange resulted in fewer coins than expected"

    xp: uint256[N_COINS] = old_balances
    xp[i] = x
    xp[j] = y

    self.save_p(xp, amp, D)

    dy_admin_fee: uint256 = dy_fee * self.admin_fee / FEE_DENOMINATOR

    # 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

    coin: address = self.coins[i]
    if coin == 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE:
        assert msg.value == _dx
    else:
        assert msg.value == 0
        assert ERC20(coin).transferFrom(msg.sender, self, _dx, default_return_value=True)

    coin = self.coins[j]
    if coin == 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE:
        raw_call(msg.sender, b"", value=dy)
    else:
        assert ERC20(coin).transfer(msg.sender, dy, default_return_value=True)

    log TokenExchange(msg.sender, i, _dx, j, dy)

    return dy


@external
@nonreentrant('lock')
def remove_liquidity(_amount: uint256, _min_amounts: uint256[N_COINS]) -> uint256[N_COINS]:
    """
    @notice Withdraw coins from the pool
    @dev Withdrawal amounts are based on current deposit ratios
    @param _amount Quantity of LP tokens to burn in the withdrawal
    @param _min_amounts Minimum amounts of underlying coins to receive
    @return List of amounts of coins that were withdrawn
    """
    lp_token: address = self.lp_token
    total_supply: uint256 = CurveToken(lp_token).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 * _amount / total_supply
        assert value >= _min_amounts[i], "Withdrawal resulted in fewer coins than expected"
        self.balances[i] = old_balance - value
        amounts[i] = value
        coin: address = self.coins[i]
        if coin == 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE:
            raw_call(msg.sender, b"", value=value)
        else:
            assert ERC20(coin).transfer(msg.sender, value, default_return_value=True)

    CurveToken(lp_token).burnFrom(msg.sender, _amount)  # dev: insufficient funds

    log RemoveLiquidity(msg.sender, amounts, empty(uint256[N_COINS]), total_supply - _amount)

    return amounts


@external
@nonreentrant('lock')
def remove_liquidity_imbalance(_amounts: uint256[N_COINS], _max_burn_amount: uint256) -> 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
    @return Actual amount of the LP token burned in the withdrawal
    """
    assert not self.is_killed  # dev: is killed

    amp: uint256 = self._A()
    old_balances: uint256[N_COINS] = self.balances
    D0: uint256 = self._get_D(old_balances, amp)
    new_balances: uint256[N_COINS] = empty(uint256[N_COINS])
    for i in range(N_COINS):
        new_balances[i] = old_balances[i] - _amounts[i]
    D1: uint256 = self._get_D(new_balances, amp)

    fees: uint256[N_COINS] = empty(uint256[N_COINS])
    fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
    admin_fee: uint256 = self.admin_fee
    for i in range(N_COINS):
        new_balance: uint256 = new_balances[i]
        ideal_balance: uint256 = D1 * old_balances[i] / D0
        difference: uint256 = 0
        if ideal_balance > new_balance:
            difference = ideal_balance - new_balance
        else:
            difference = new_balance - ideal_balance
        fees[i] = fee * difference / FEE_DENOMINATOR
        self.balances[i] = new_balance - (fees[i] * admin_fee / FEE_DENOMINATOR)
        new_balances[i] = new_balance - fees[i]
    D2: uint256 = self._get_D(new_balances, amp)

    self.save_p(new_balances, amp, D2)

    lp_token: address = self.lp_token
    token_supply: uint256 = CurveToken(lp_token).totalSupply()
    token_amount: uint256 = (D0 - D2) * token_supply / D0
    assert token_amount != 0  # dev: zero tokens burned
    token_amount += 1  # In case of rounding errors - make it unfavorable for the "attacker"
    assert token_amount <= _max_burn_amount, "Slippage screwed you"

    CurveToken(lp_token).burnFrom(msg.sender, token_amount)  # dev: insufficient funds
    for i in range(N_COINS):
        amount: uint256 = _amounts[i]
        if amount != 0:
            coin: address = self.coins[i]
            if coin == 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE:
                raw_call(msg.sender, b"", value=amount)
            else:
                assert ERC20(coin).transfer(msg.sender, amount, default_return_value=True)

    log RemoveLiquidityImbalance(msg.sender, _amounts, fees, D1, token_supply - token_amount)

    return token_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

    Ann: uint256 = A * N_COINS
    c: uint256 = D
    S: uint256 = 0
    _x: uint256 = 0
    y_prev: uint256 = 0
    
    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(_token_amount: uint256, i: int128) -> (uint256, uint256, uint256, uint256):
    # First, need to calculate
    # * Get current D
    # * Solve Eqn against y_i for D - _token_amount
    amp: uint256 = self._A()
    xp: uint256[N_COINS] = self.balances
    D0: uint256 = self._get_D(xp, amp)
    total_supply: uint256 = CurveToken(self.lp_token).totalSupply()
    D1: uint256 = D0 - _token_amount * D0 / total_supply
    new_y: uint256 = self._get_y_D(amp, i, xp, D1)
    fee: uint256 = self.fee * N_COINS / (4 * (N_COINS - 1))
    xp_reduced: uint256[N_COINS] = xp
    for j in range(N_COINS_128):
        dx_expected: uint256 = 0
        if j == i:
            dx_expected = xp[j] * D1 / D0 - new_y
        else:
            dx_expected = xp[j] - xp[j] * D1 / D0
        xp_reduced[j] -= fee * dx_expected / FEE_DENOMINATOR

    dy: uint256 = xp_reduced[i] - self._get_y_D(amp, i, xp_reduced, D1)

    dy -= 1  # Withdraw less to account for rounding errors
    dy_0: uint256 = xp[i] - new_y  # w/o fees

    xp[i] = new_y
    ma_p: uint256 = 0
    if new_y > 0:
        ma_p = self._ma_price(xp, amp, D1)

    return dy, dy_0 - dy, total_supply, ma_p


@view
@external
@nonreentrant('lock')
def calc_withdraw_one_coin(_token_amount: uint256, i: int128) -> uint256:
    """
    @notice Calculate the amount received when withdrawing a single coin
    @param _token_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(_token_amount, i)[0]


@external
@nonreentrant('lock')
def remove_liquidity_one_coin(_token_amount: uint256, i: int128, _min_amount: uint256) -> uint256:
    """
    @notice Withdraw a single coin from the pool
    @param _token_amount Amount of LP tokens to burn in the withdrawal
    @param i Index value of the coin to withdraw
    @param _min_amount Minimum amount of coin to receive
    @return Amount of coin received
    """
    assert not self.is_killed  # dev: is killed

    dy: uint256 = 0
    dy_fee: uint256 = 0
    total_supply: uint256 = 0
    ma_p: uint256 = 0
    dy, dy_fee, total_supply, ma_p = self._calc_withdraw_one_coin(_token_amount, i)
    assert dy >= _min_amount, "Not enough coins removed"

    self.balances[i] -= (dy + dy_fee * self.admin_fee / FEE_DENOMINATOR)
    CurveToken(self.lp_token).burnFrom(msg.sender, _token_amount)  # dev: insufficient funds

    coin: address = self.coins[i]
    if coin == 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE:
        raw_call(msg.sender, b"", value=dy)
    else:
        assert ERC20(coin).transfer(msg.sender, dy, default_return_value=True)

    log RemoveLiquidityOne(msg.sender, _token_amount, dy, total_supply - _token_amount)

    self.ma_price = ma_p
    self.ma_last_time = block.timestamp

    return dy


### Admin functions ###
@external
def ramp_A(_future_A: uint256, _future_time: uint256):
    assert msg.sender == self.owner  # 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 == self.owner  # 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 commit_new_fee(_new_fee: uint256, _new_admin_fee: uint256):
    assert msg.sender == self.owner  # dev: only owner
    assert self.admin_actions_deadline == 0  # dev: active action
    assert _new_fee <= MAX_FEE  # dev: fee exceeds maximum
    assert _new_admin_fee <= MAX_ADMIN_FEE  # dev: admin fee exceeds maximum

    deadline: uint256 = block.timestamp + ADMIN_ACTIONS_DELAY
    self.admin_actions_deadline = deadline
    self.future_fee = _new_fee
    self.future_admin_fee = _new_admin_fee

    log CommitNewFee(deadline, _new_fee, _new_admin_fee)


@external
def apply_new_fee():
    assert msg.sender == self.owner  # dev: only owner
    assert block.timestamp >= self.admin_actions_deadline  # dev: insufficient time
    assert self.admin_actions_deadline != 0  # dev: no active action

    self.admin_actions_deadline = 0
    fee: uint256 = self.future_fee
    admin_fee: uint256 = self.future_admin_fee
    self.fee = fee
    self.admin_fee = admin_fee

    log NewFee(fee, admin_fee)


@external
def revert_new_parameters():
    assert msg.sender == self.owner  # dev: only owner

    self.admin_actions_deadline = 0


@external
def set_ma_exp_time(_ma_exp_time: uint256):
    assert msg.sender == self.owner
    assert _ma_exp_time != 0

    self.ma_exp_time = _ma_exp_time


@external
def commit_transfer_ownership(_owner: address):
    assert msg.sender == self.owner  # dev: only owner
    assert self.transfer_ownership_deadline == 0  # dev: active transfer

    deadline: uint256 = block.timestamp + ADMIN_ACTIONS_DELAY
    self.transfer_ownership_deadline = deadline
    self.future_owner = _owner

    log CommitNewAdmin(deadline, _owner)


@external
def apply_transfer_ownership():
    assert msg.sender == self.owner  # dev: only owner
    assert block.timestamp >= self.transfer_ownership_deadline  # dev: insufficient time
    assert self.transfer_ownership_deadline != 0  # dev: no active transfer

    self.transfer_ownership_deadline = 0
    owner: address = self.future_owner
    self.owner = owner

    log NewAdmin(owner)


@external
def revert_transfer_ownership():
    assert msg.sender == self.owner  # dev: only owner

    self.transfer_ownership_deadline = 0


@view
@external
def admin_balances(i: uint256) -> uint256:
    coin: address = self.coins[i]
    if coin == 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE:
        return self.balance - self.balances[i]
    else:
        return ERC20(coin).balanceOf(self) - self.balances[i]


@external
def withdraw_admin_fees():
    assert msg.sender == self.owner  # dev: only owner

    for i in range(N_COINS):
        coin: address = self.coins[i]
        if coin == 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE:
            value: uint256 = self.balance - self.balances[i]
            if value > 0:
                raw_call(msg.sender, b"", value=value)
        else:
            value: uint256 = ERC20(coin).balanceOf(self) - self.balances[i]
            if value > 0:
                assert ERC20(coin).transfer(msg.sender, value, default_return_value=True)


@external
def donate_admin_fees():
    assert msg.sender == self.owner  # dev: only owner
    for i in range(N_COINS):
        coin: address = self.coins[i]
        if coin == 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE:
            self.balances[i] = self.balance
        else:
            self.balances[i] = ERC20(coin).balanceOf(self)


@external
def kill_me():
    assert msg.sender == self.owner  # dev: only owner
    assert self.kill_deadline > block.timestamp  # dev: deadline has passed
    self.is_killed = True


@external
def unkill_me():
    assert msg.sender == self.owner  # dev: only owner
    self.is_killed = False

• No Contract Security Audit Submitted- Submit Audit Here

[{"name":"TokenExchange","inputs":[{"name":"buyer","type":"address","indexed":true},{"name":"sold_id","type":"int128","indexed":false},{"name":"tokens_sold","type":"uint256","indexed":false},{"name":"bought_id","type":"int128","indexed":false},{"name":"tokens_bought","type":"uint256","indexed":false}],"anonymous":false,"type":"event"},{"name":"AddLiquidity","inputs":[{"name":"provider","type":"address","indexed":true},{"name":"token_amounts","type":"uint256[2]","indexed":false},{"name":"fees","type":"uint256[2]","indexed":false},{"name":"invariant","type":"uint256","indexed":false},{"name":"token_supply","type":"uint256","indexed":false}],"anonymous":false,"type":"event"},{"name":"RemoveLiquidity","inputs":[{"name":"provider","type":"address","indexed":true},{"name":"token_amounts","type":"uint256[2]","indexed":false},{"name":"fees","type":"uint256[2]","indexed":false},{"name":"token_supply","type":"uint256","indexed":false}],"anonymous":false,"type":"event"},{"name":"RemoveLiquidityOne","inputs":[{"name":"provider","type":"address","indexed":true},{"name":"token_amount","type":"uint256","indexed":false},{"name":"coin_amount","type":"uint256","indexed":false},{"name":"token_supply","type":"uint256","indexed":false}],"anonymous":false,"type":"event"},{"name":"RemoveLiquidityImbalance","inputs":[{"name":"provider","type":"address","indexed":true},{"name":"token_amounts","type":"uint256[2]","indexed":false},{"name":"fees","type":"uint256[2]","indexed":false},{"name":"invariant","type":"uint256","indexed":false},{"name":"token_supply","type":"uint256","indexed":false}],"anonymous":false,"type":"event"},{"name":"CommitNewAdmin","inputs":[{"name":"deadline","type":"uint256","indexed":true},{"name":"admin","type":"address","indexed":true}],"anonymous":false,"type":"event"},{"name":"NewAdmin","inputs":[{"name":"admin","type":"address","indexed":true}],"anonymous":false,"type":"event"},{"name":"CommitNewFee","inputs":[{"name":"deadline","type":"uint256","indexed":true},{"name":"fee","type":"uint256","indexed":false},{"name":"admin_fee","type":"uint256","indexed":false}],"anonymous":false,"type":"event"},{"name":"NewFee","inputs":[{"name":"fee","type":"uint256","indexed":false},{"name":"admin_fee","type":"uint256","indexed":false}],"anonymous":false,"type":"event"},{"name":"RampA","inputs":[{"name":"old_A","type":"uint256","indexed":false},{"name":"new_A","type":"uint256","indexed":false},{"name":"initial_time","type":"uint256","indexed":false},{"name":"future_time","type":"uint256","indexed":false}],"anonymous":false,"type":"event"},{"name":"StopRampA","inputs":[{"name":"A","type":"uint256","indexed":false},{"name":"t","type":"uint256","indexed":false}],"anonymous":false,"type":"event"},{"stateMutability":"nonpayable","type":"constructor","inputs":[{"name":"_owner","type":"address"},{"name":"_coins","type":"address[2]"},{"name":"_pool_token","type":"address"},{"name":"_A","type":"uint256"},{"name":"_fee","type":"uint256"},{"name":"_admin_fee","type":"uint256"}],"outputs":[]},{"stateMutability":"view","type":"function","name":"A","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"A_precise","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"get_p","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"price_oracle","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"get_virtual_price","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"calc_token_amount","inputs":[{"name":"_amounts","type":"uint256[2]"},{"name":"_is_deposit","type":"bool"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"payable","type":"function","name":"add_liquidity","inputs":[{"name":"_amounts","type":"uint256[2]"},{"name":"_min_mint_amount","type":"uint256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"get_dy","inputs":[{"name":"i","type":"int128"},{"name":"j","type":"int128"},{"name":"_dx","type":"uint256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"payable","type":"function","name":"exchange","inputs":[{"name":"i","type":"int128"},{"name":"j","type":"int128"},{"name":"_dx","type":"uint256"},{"name":"_min_dy","type":"uint256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"nonpayable","type":"function","name":"remove_liquidity","inputs":[{"name":"_amount","type":"uint256"},{"name":"_min_amounts","type":"uint256[2]"}],"outputs":[{"name":"","type":"uint256[2]"}]},{"stateMutability":"nonpayable","type":"function","name":"remove_liquidity_imbalance","inputs":[{"name":"_amounts","type":"uint256[2]"},{"name":"_max_burn_amount","type":"uint256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"calc_withdraw_one_coin","inputs":[{"name":"_token_amount","type":"uint256"},{"name":"i","type":"int128"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"nonpayable","type":"function","name":"remove_liquidity_one_coin","inputs":[{"name":"_token_amount","type":"uint256"},{"name":"i","type":"int128"},{"name":"_min_amount","type":"uint256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"nonpayable","type":"function","name":"ramp_A","inputs":[{"name":"_future_A","type":"uint256"},{"name":"_future_time","type":"uint256"}],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"stop_ramp_A","inputs":[],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"commit_new_fee","inputs":[{"name":"_new_fee","type":"uint256"},{"name":"_new_admin_fee","type":"uint256"}],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"apply_new_fee","inputs":[],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"revert_new_parameters","inputs":[],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"set_ma_exp_time","inputs":[{"name":"_ma_exp_time","type":"uint256"}],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"commit_transfer_ownership","inputs":[{"name":"_owner","type":"address"}],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"apply_transfer_ownership","inputs":[],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"revert_transfer_ownership","inputs":[],"outputs":[]},{"stateMutability":"view","type":"function","name":"admin_balances","inputs":[{"name":"i","type":"uint256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"nonpayable","type":"function","name":"withdraw_admin_fees","inputs":[],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"donate_admin_fees","inputs":[],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"kill_me","inputs":[],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"unkill_me","inputs":[],"outputs":[]},{"stateMutability":"view","type":"function","name":"coins","inputs":[{"name":"arg0","type":"uint256"}],"outputs":[{"name":"","type":"address"}]},{"stateMutability":"view","type":"function","name":"balances","inputs":[{"name":"arg0","type":"uint256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"fee","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"admin_fee","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"owner","inputs":[],"outputs":[{"name":"","type":"address"}]},{"stateMutability":"view","type":"function","name":"lp_token","inputs":[],"outputs":[{"name":"","type":"address"}]},{"stateMutability":"view","type":"function","name":"initial_A","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"future_A","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"initial_A_time","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"future_A_time","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"admin_actions_deadline","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"transfer_ownership_deadline","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"future_fee","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"future_admin_fee","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"future_owner","inputs":[],"outputs":[{"name":"","type":"address"}]},{"stateMutability":"view","type":"function","name":"ma_exp_time","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"ma_last_time","inputs":[],"outputs":[{"name":"","type":"uint256"}]}]

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000000000000000000000000745748bcfd8f9c2de519a71d789be8a63dd7d66c000000000000000000000000eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee0000000000000000000000005e8422345238f34275888049021821e8e08caa1f000000000000000000000000f43211935c781d5ca1a41d2041f397b8a7366c7a000000000000000000000000000000000000000000000000000000000000007800000000000000000000000000000000000000000000000000000000003d0900000000000000000000000000000000000000000000000000000000012a05f200

-----Decoded View---------------
Arg [0] : _owner (address): 0x745748bcFd8F9c2De519a71D789be8A63dd7d66C
Arg [1] : _coins (address[2]): 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE,0x5E8422345238F34275888049021821E8E08CAa1f
Arg [2] : _pool_token (address): 0xf43211935C781D5ca1a41d2041F397B8A7366C7A
Arg [3] : _A (uint256): 120
Arg [4] : _fee (uint256): 4000000
Arg [5] : _admin_fee (uint256): 5000000000

-----Encoded View---------------
7 Constructor Arguments found :
Arg [0] : 000000000000000000000000745748bcfd8f9c2de519a71d789be8a63dd7d66c
Arg [1] : 000000000000000000000000eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Arg [2] : 0000000000000000000000005e8422345238f34275888049021821e8e08caa1f
Arg [3] : 000000000000000000000000f43211935c781d5ca1a41d2041f397b8a7366c7a
Arg [4] : 0000000000000000000000000000000000000000000000000000000000000078
Arg [5] : 00000000000000000000000000000000000000000000000000000000003d0900
Arg [6] : 000000000000000000000000000000000000000000000000000000012a05f200