false
false
100

Contract Address Details

0xEfadDdE5B43917CcC738AdE6962295A0B343f7CE

Contract Name
Vyper_contract
Creator
0xe6b328–04353e at 0x561668–ccd31f
Balance
0 KAVA ( )
Tokens
Fetching tokens...
Transactions
0 Transactions
Transfers
0 Transfers
Gas Used
Fetching gas used...
Last Balance Update
11602711
Warning! Contract bytecode has been changed and doesn't match the verified one. Therefore, interaction with this smart contract may be risky.
Contract name:
Vyper_contract




Optimization enabled
false
Compiler version
v0.3.1




Verified at
2023-07-14T13:27:10.521882Z

Contract source code

# @version 0.3.1
# (c) Curve.Fi, 2023
# Math for crypto pools with 2 coins
#
# Unless otherwise agreed on, only contracts owned by Curve DAO or
# Swiss Stake GmbH are allowed to call this contract.

interface Curve:
    def fee_gamma() -> uint256: view
    def out_fee() -> uint256: view
    def mid_fee() -> uint256: view


N_COINS: constant(int128) = 2
A_MULTIPLIER: constant(uint256) = 10000
MIN_GAMMA: constant(uint256) = 10**10
MAX_GAMMA: constant(uint256) = 2 * 10**16
MIN_A: constant(uint256) = N_COINS**N_COINS * A_MULTIPLIER / 10
MAX_A: constant(uint256) = N_COINS**N_COINS * A_MULTIPLIER * 100000

@internal
@pure
def geometric_mean(unsorted_x: uint256[N_COINS], sort: bool) -> uint256:
    """
    (x[0] * x[1] * ...) ** (1/N)
    """
    x: uint256[N_COINS] = unsorted_x
    if sort and x[0] < x[1]:
        x = [unsorted_x[1], unsorted_x[0]]
    D: uint256 = x[0]
    diff: uint256 = 0
    for i in range(255):
        D_prev: uint256 = D
        # tmp: uint256 = 10**18
        # for _x in x:
        #     tmp = tmp * _x / D
        # D = D * ((N_COINS - 1) * 10**18 + tmp) / (N_COINS * 10**18)
        # line below makes it for 2 coins
        D = (D + x[0] * x[1] / D) / N_COINS
        if D > D_prev:
            diff = D - D_prev
        else:
            diff = D_prev - D
        if diff <= 1 or diff * 10**18 < D:
            return D
    raise "Did not converge"


@external
@view
def newton_D(ANN: uint256, gamma: uint256, x_unsorted: uint256[N_COINS]) -> uint256:
    """
    Finding the invariant using Newton method.
    ANN is higher by the factor A_MULTIPLIER
    ANN is already A * N**N

    Currently uses 60k gas
    """
    # Safety checks
    assert ANN > MIN_A - 1 and ANN < MAX_A + 1  # dev: unsafe values A
    assert gamma > MIN_GAMMA - 1 and gamma < MAX_GAMMA + 1  # dev: unsafe values gamma

    # Initial value of invariant D is that for constant-product invariant
    x: uint256[N_COINS] = x_unsorted
    if x[0] < x[1]:
        x = [x_unsorted[1], x_unsorted[0]]

    assert x[0] > 10**9 - 1 and x[0] < 10**15 * 10**18 + 1  # dev: unsafe values x[0]
    assert x[1] * 10**18 / x[0] > 10**14-1  # dev: unsafe values x[i] (input)

    D: uint256 = N_COINS * self.geometric_mean(x, False)
    S: uint256 = x[0] + x[1]

    for i in range(255):
        D_prev: uint256 = D

        # K0: uint256 = 10**18
        # for _x in x:
        #     K0 = K0 * _x * N_COINS / D
        # collapsed for 2 coins
        K0: uint256 = (10**18 * N_COINS**2) * x[0] / D * x[1] / D

        _g1k0: uint256 = gamma + 10**18
        if _g1k0 > K0:
            _g1k0 = _g1k0 - K0 + 1
        else:
            _g1k0 = K0 - _g1k0 + 1

        # D / (A * N**N) * _g1k0**2 / gamma**2
        mul1: uint256 = 10**18 * D / gamma * _g1k0 / gamma * _g1k0 * A_MULTIPLIER / ANN

        # 2*N*K0 / _g1k0
        mul2: uint256 = (2 * 10**18) * N_COINS * K0 / _g1k0

        neg_fprime: uint256 = (S + S * mul2 / 10**18) + mul1 * N_COINS / K0 - mul2 * D / 10**18

        # D -= f / fprime
        D_plus: uint256 = D * (neg_fprime + S) / neg_fprime
        D_minus: uint256 = D*D / neg_fprime
        if 10**18 > K0:
            D_minus += D * (mul1 / neg_fprime) / 10**18 * (10**18 - K0) / K0
        else:
            D_minus -= D * (mul1 / neg_fprime) / 10**18 * (K0 - 10**18) / K0

        if D_plus > D_minus:
            D = D_plus - D_minus
        else:
            D = (D_minus - D_plus) / 2

        diff: uint256 = 0
        if D > D_prev:
            diff = D - D_prev
        else:
            diff = D_prev - D
        if diff * 10**14 < max(10**16, D):  # Could reduce precision for gas efficiency here
            # Test that we are safe with the next newton_y
            for _x in x:
                frac: uint256 = _x * 10**18 / D
                assert (frac > 10**16 - 1) and (frac < 10**20 + 1)  # dev: unsafe values x[i]
            return D

    raise "Did not converge"


@external
@view
def newton_y(ANN: uint256, gamma: uint256, x: uint256[N_COINS], D: uint256, i: uint256) -> uint256:
    """
    Calculating x[i] given other balances x[0..N_COINS-1] and invariant D
    ANN = A * N**N
    """
    # Safety checks
    assert ANN > MIN_A - 1 and ANN < MAX_A + 1  # dev: unsafe values A
    assert gamma > MIN_GAMMA - 1 and gamma < MAX_GAMMA + 1  # dev: unsafe values gamma
    assert D > 10**17 - 1 and D < 10**15 * 10**18 + 1 # dev: unsafe values D

    x_j: uint256 = x[1 - i]
    y: uint256 = D**2 / (x_j * N_COINS**2)
    K0_i: uint256 = (10**18 * N_COINS) * x_j / D
    # S_i = x_j

    # frac = x_j * 1e18 / D => frac = K0_i / N_COINS
    assert (K0_i > 10**16*N_COINS - 1) and (K0_i < 10**20*N_COINS + 1)  # dev: unsafe values x[i]

    # x_sorted: uint256[N_COINS] = x
    # x_sorted[i] = 0
    # x_sorted = self.sort(x_sorted)  # From high to low
    # x[not i] instead of x_sorted since x_soted has only 1 element

    convergence_limit: uint256 = max(max(x_j / 10**14, D / 10**14), 100)

    for j in range(255):
        y_prev: uint256 = y

        K0: uint256 = K0_i * y * N_COINS / D
        S: uint256 = x_j + y

        _g1k0: uint256 = gamma + 10**18
        if _g1k0 > K0:
            _g1k0 = _g1k0 - K0 + 1
        else:
            _g1k0 = K0 - _g1k0 + 1

        # D / (A * N**N) * _g1k0**2 / gamma**2
        mul1: uint256 = 10**18 * D / gamma * _g1k0 / gamma * _g1k0 * A_MULTIPLIER / ANN

        # 2*K0 / _g1k0
        mul2: uint256 = 10**18 + (2 * 10**18) * K0 / _g1k0

        yfprime: uint256 = 10**18 * y + S * mul2 + mul1
        _dyfprime: uint256 = D * mul2
        if yfprime < _dyfprime:
            y = y_prev / 2
            continue
        else:
            yfprime -= _dyfprime
        fprime: uint256 = yfprime / y

        # y -= f / f_prime;  y = (y * fprime - f) / fprime
        # y = (yfprime + 10**18 * D - 10**18 * S) // fprime + mul1 // fprime * (10**18 - K0) // K0
        y_minus: uint256 = mul1 / fprime
        y_plus: uint256 = (yfprime + 10**18 * D) / fprime + y_minus * 10**18 / K0
        y_minus += 10**18 * S / fprime

        if y_plus < y_minus:
            y = y_prev / 2
        else:
            y = y_plus - y_minus

        diff: uint256 = 0
        if y > y_prev:
            diff = y - y_prev
        else:
            diff = y_prev - y
        if diff < max(convergence_limit, y / 10**14):
            frac: uint256 = y * 10**18 / D
            assert (frac > 10**16 - 1) and (frac < 10**20 + 1)  # dev: unsafe value for y
            return y

    raise "Did not converge"


@external
@view
def fee_calc(pool: address, xp: uint256[N_COINS]) -> uint256:
    """
    f = fee_gamma / (fee_gamma + (1 - K))
    where
    K = prod(x) / (sum(x) / N)**N
    (all normalized to 1e18)
    """
    fee_gamma: uint256 = Curve(pool).fee_gamma()
    f: uint256 = xp[0] + xp[1]  # sum
    f = fee_gamma * 10**18 / (
        fee_gamma + 10**18 - (10**18 * N_COINS**N_COINS) * xp[0] / f * xp[1] / f
    )
    return (Curve(pool).mid_fee() * f + Curve(pool).out_fee() * (10**18 - f)) / 10**18

Contract ABI

[{"type":"function","stateMutability":"view","outputs":[{"type":"uint256","name":""}],"name":"newton_D","inputs":[{"type":"uint256","name":"ANN"},{"type":"uint256","name":"gamma"},{"type":"uint256[2]","name":"x_unsorted"}],"gas":2021722},{"type":"function","stateMutability":"view","outputs":[{"type":"uint256","name":""}],"name":"newton_y","inputs":[{"type":"uint256","name":"ANN"},{"type":"uint256","name":"gamma"},{"type":"uint256[2]","name":"x"},{"type":"uint256","name":"D"},{"type":"uint256","name":"i"}],"gas":1538483},{"type":"function","stateMutability":"view","outputs":[{"type":"uint256","name":""}],"name":"fee_calc","inputs":[{"type":"address","name":"pool"},{"type":"uint256[2]","name":"xp"}],"gas":9449}]

Contract Creation Code

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