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Contract Source Code Verified (Exact Match)
Contract Name:
LLAMMA - crvUSD AMM
Compiler Version
vyper:0.3.7
Contract Source Code (Vyper language format)
# @version 0.3.7 """ @title LLAMMA - crvUSD AMM @author Curve.Fi @license Copyright (c) Curve.Fi, 2020-2023 - all rights reserved """ # Glossary of variables and terms # ======================= # * ticks, bands - price ranges where liquidity is deposited # * x - coin which is being borrowed, typically stablecoin # * y - collateral coin (for example, wETH) # * A - amplification, the measure of how concentrated the tick is # * rate - interest rate # * rate_mul - rate multiplier, 1 + integral(rate * dt) # * active_band - current band. Other bands are either in one or other coin, but not both # * min_band - bands below this are definitely empty # * max_band - bands above this are definitely empty # * bands_x[n], bands_y[n] - amounts of coin x or y deposited in band n # * user_shares[user,n] / total_shares[n] - fraction of n'th band owned by a user # * p_oracle - external oracle price (can be from another AMM) # * p (as in get_p) - current price of AMM. It depends not only on the balances (x,y) in the band and active_band, but # also on p_oracle # * p_current_up, p_current_down - the value of p at constant p_oracle when y=0 or x=0 respectively for the band n # * p_oracle_up, p_oracle_down - edges of the band when p=p_oracle (steady state), happen when x=0 or y=0 respectively, # for band n. # * Grid of bands is set for p_oracle values such as: # * p_oracle_up(n) = base_price * ((A - 1) / A)**n # * p_oracle_down(n) = p_oracle_up(n) * (A - 1) / A = p_oracle_up(n+1) # * p_current_up and p_oracle_up change in opposite directions with n # * When intereste is accrued - all the grid moves by change of base_price # # Bonding curve reads as: # (f + x) * (g + y) = Inv = p_oracle * A**2 * y0**2 # ======================= interface ERC20: def transfer(_to: address, _value: uint256) -> bool: nonpayable def transferFrom(_from: address, _to: address, _value: uint256) -> bool: nonpayable def approve(_spender: address, _value: uint256) -> bool: nonpayable interface PriceOracle: def price() -> uint256: view def price_w() -> uint256: nonpayable interface LMGauge: def callback_collateral_shares(n: int256, collateral_per_share: DynArray[uint256, MAX_TICKS_UINT]): nonpayable def callback_user_shares(user: address, n: int256, user_shares: DynArray[uint256, MAX_TICKS_UINT]): nonpayable event TokenExchange: buyer: indexed(address) sold_id: uint256 tokens_sold: uint256 bought_id: uint256 tokens_bought: uint256 event Deposit: provider: indexed(address) amount: uint256 n1: int256 n2: int256 event Withdraw: provider: indexed(address) amount_borrowed: uint256 amount_collateral: uint256 event SetRate: rate: uint256 rate_mul: uint256 time: uint256 event SetFee: fee: uint256 event SetAdminFee: fee: uint256 MAX_TICKS: constant(int256) = 50 MAX_TICKS_UINT: constant(uint256) = 50 MAX_SKIP_TICKS: constant(int256) = 1024 struct UserTicks: ns: int256 # packs n1 and n2, each is int128 ticks: uint256[MAX_TICKS/2] # Share fractions packed 2 per slot struct DetailedTrade: in_amount: uint256 out_amount: uint256 n1: int256 n2: int256 ticks_in: DynArray[uint256, MAX_TICKS_UINT] last_tick_j: uint256 admin_fee: uint256 BORROWED_TOKEN: immutable(ERC20) # x BORROWED_PRECISION: immutable(uint256) COLLATERAL_TOKEN: immutable(ERC20) # y COLLATERAL_PRECISION: immutable(uint256) BASE_PRICE: immutable(uint256) admin: public(address) A: public(immutable(uint256)) Aminus1: immutable(uint256) A2: immutable(uint256) Aminus12: immutable(uint256) SQRT_BAND_RATIO: immutable(uint256) # sqrt(A / (A - 1)) LOG_A_RATIO: immutable(int256) # ln(A / (A - 1)) MAX_ORACLE_DN_POW: immutable(uint256) # (A / (A - 1)) ** 50 fee: public(uint256) admin_fee: public(uint256) rate: public(uint256) rate_time: uint256 rate_mul: uint256 active_band: public(int256) min_band: public(int256) max_band: public(int256) admin_fees_x: public(uint256) admin_fees_y: public(uint256) price_oracle_contract: public(PriceOracle) old_p_o: uint256 old_dfee: uint256 prev_p_o_time: uint256 PREV_P_O_DELAY: constant(uint256) = 2 * 60 # s = 2 min MAX_P_O_CHG: constant(uint256) = 12500 * 10**14 # <= 2**(1/3) - max relative change to have fee < 50% bands_x: public(HashMap[int256, uint256]) bands_y: public(HashMap[int256, uint256]) total_shares: HashMap[int256, uint256] user_shares: HashMap[address, UserTicks] DEAD_SHARES: constant(uint256) = 1000 liquidity_mining_callback: public(LMGauge) @external def __init__( _borrowed_token: address, _borrowed_precision: uint256, _collateral_token: address, _collateral_precision: uint256, _A: uint256, _sqrt_band_ratio: uint256, _log_A_ratio: int256, _base_price: uint256, fee: uint256, admin_fee: uint256, _price_oracle_contract: address, ): """ @notice LLAMMA constructor @param _borrowed_token Token which is being borrowed @param _collateral_token Token used as collateral @param _collateral_precision Precision of collateral: we pass it because we want the blueprint to fit into bytecode @param _A "Amplification coefficient" which also defines density of liquidity and band size. Relative band size is 1/_A @param _sqrt_band_ratio Precomputed int(sqrt(A / (A - 1)) * 1e18) @param _log_A_ratio Precomputed int(ln(A / (A - 1)) * 1e18) @param _base_price Typically the initial crypto price at which AMM is deployed. Will correspond to band 0 @param fee Relative fee of the AMM: int(fee * 1e18) @param admin_fee Admin fee: how much of fee goes to admin. 50% === int(0.5 * 1e18) @param _price_oracle_contract External price oracle which has price() and price_w() methods which both return current price of collateral multiplied by 1e18 """ BORROWED_TOKEN = ERC20(_borrowed_token) BORROWED_PRECISION = _borrowed_precision COLLATERAL_TOKEN = ERC20(_collateral_token) COLLATERAL_PRECISION = _collateral_precision A = _A BASE_PRICE = _base_price Aminus1 = unsafe_sub(A, 1) A2 = pow_mod256(A, 2) Aminus12 = pow_mod256(unsafe_sub(A, 1), 2) self.fee = fee self.admin_fee = admin_fee self.price_oracle_contract = PriceOracle(_price_oracle_contract) self.prev_p_o_time = block.timestamp self.old_p_o = self.price_oracle_contract.price() self.rate_mul = 10**18 # sqrt(A / (A - 1)) - needs to be pre-calculated externally SQRT_BAND_RATIO = _sqrt_band_ratio # log(A / (A - 1)) - needs to be pre-calculated externally LOG_A_RATIO = _log_A_ratio # (A / (A - 1)) ** 50 MAX_ORACLE_DN_POW = unsafe_div(pow_mod256(unsafe_div(A**25 * 10**18, pow_mod256(Aminus1, 25)), 2), 10**18) @internal def approve_max(token: ERC20, _admin: address): """ Approve max in a separate function because it uses less bytespace than calling directly, and gas doesn't matter in set_admin """ assert token.approve(_admin, max_value(uint256), default_return_value=True) @external def set_admin(_admin: address): """ @notice Set admin of the AMM. Typically it's a controller (unless it's tests) @param _admin Admin address """ assert self.admin == empty(address) self.admin = _admin self.approve_max(BORROWED_TOKEN, _admin) self.approve_max(COLLATERAL_TOKEN, _admin) @internal @pure def sqrt_int(_x: uint256) -> uint256: """ @notice Wrapping isqrt builtin because otherwise it will be repeated every time instead of calling @param _x Square root's input in "normal" units, e.g. sqrt_int(1) == 1 """ return isqrt(_x) @external @pure def coins(i: uint256) -> address: return [BORROWED_TOKEN.address, COLLATERAL_TOKEN.address][i] @internal @view def limit_p_o(p: uint256) -> uint256[2]: """ @notice Limits oracle price to avoid losses at abrupt changes, as well as calculates a dynamic fee. If we consider oracle_change such as: ratio = p_new / p_old (let's take for simplicity p_new < p_old, otherwise we compute p_old / p_new) Then if the minimal AMM fee will be: fee = (1 - ratio**3), AMM will not have a loss associated with the price change. However, over time fee should still go down (over PREV_P_O_DELAY), and also ratio should be limited because we don't want the fee to become too large (say, 50%) which is achieved by limiting the instantaneous change in oracle price. @return (limited_price_oracle, dynamic_fee) """ p_new: uint256 = p dt: uint256 = unsafe_sub(PREV_P_O_DELAY, min(PREV_P_O_DELAY, block.timestamp - self.prev_p_o_time)) ratio: uint256 = 0 # ratio = 1 - (p_o_min / p_o_max)**3 if dt > 0: old_p_o: uint256 = self.old_p_o old_ratio: uint256 = self.old_dfee # ratio = p_o_min / p_o_max if p > old_p_o: ratio = unsafe_div(old_p_o * 10**18, p) if ratio < 10**36 / MAX_P_O_CHG: p_new = unsafe_div(old_p_o * MAX_P_O_CHG, 10**18) ratio = 10**36 / MAX_P_O_CHG else: ratio = unsafe_div(p * 10**18, old_p_o) if ratio < 10**36 / MAX_P_O_CHG: p_new = unsafe_div(old_p_o * 10**18, MAX_P_O_CHG) ratio = 10**36 / MAX_P_O_CHG # ratio is guaranteed to be less than 1e18 # Also guaranteed to be limited, therefore can have all ops unsafe ratio = unsafe_div( unsafe_mul( unsafe_sub(unsafe_add(10**18, old_ratio), unsafe_div(pow_mod256(ratio, 3), 10**36)), # (f' + (1 - r**3)) dt), # * dt / T PREV_P_O_DELAY) return [p_new, ratio] @internal @view def _price_oracle_ro() -> uint256[2]: return self.limit_p_o(self.price_oracle_contract.price()) @internal def _price_oracle_w() -> uint256[2]: p: uint256[2] = self.limit_p_o(self.price_oracle_contract.price_w()) self.prev_p_o_time = block.timestamp self.old_p_o = p[0] self.old_dfee = p[1] return p @external @view def price_oracle() -> uint256: """ @notice Value returned by the external price oracle contract """ return self._price_oracle_ro()[0] @external @view def dynamic_fee() -> uint256: """ @notice Dynamic fee which accounts for price_oracle shifts """ return max(self.fee, self._price_oracle_ro()[1]) @internal @view def _rate_mul() -> uint256: """ @notice Rate multiplier which is 1.0 + integral(rate, dt) @return Rate multiplier in units where 1.0 == 1e18 """ return unsafe_div(self.rate_mul * (10**18 + self.rate * (block.timestamp - self.rate_time)), 10**18) @external @view def get_rate_mul() -> uint256: """ @notice Rate multiplier which is 1.0 + integral(rate, dt) @return Rate multiplier in units where 1.0 == 1e18 """ return self._rate_mul() @internal @view def _base_price() -> uint256: """ @notice Price which corresponds to band 0. Base price grows with time to account for interest rate (which is 0 by default) """ return unsafe_div(BASE_PRICE * self._rate_mul(), 10**18) @external @view def get_base_price() -> uint256: """ @notice Price which corresponds to band 0. Base price grows with time to account for interest rate (which is 0 by default) """ return self._base_price() @internal @view def _p_oracle_up(n: int256) -> uint256: """ @notice Upper oracle price for the band to have liquidity when p = p_oracle @param n Band number (can be negative) @return Price at 1e18 base """ # p_oracle_up(n) = p_base * ((A - 1) / A) ** n # p_oracle_down(n) = p_base * ((A - 1) / A) ** (n + 1) = p_oracle_up(n+1) # return unsafe_div(self._base_price() * self.exp_int(-n * LOG_A_RATIO), 10**18) power: int256 = -n * LOG_A_RATIO # ((A - 1) / A) ** n = exp(-n * A / (A - 1)) = exp(-n * LOG_A_RATIO) ## Exp implementation based on solmate's assert power > -42139678854452767551 assert power < 135305999368893231589 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) exp_result: uint256 = shift( unsafe_mul(convert(unsafe_div(p, q), uint256), 3822833074963236453042738258902158003155416615667), unsafe_sub(k, 195)) ## End exp return unsafe_div(self._base_price() * exp_result, 10**18) @internal @view def _p_current_band(n: int256) -> uint256: """ @notice Lowest possible price of the band at current oracle price @param n Band number (can be negative) @return Price at 1e18 base """ # k = (self.A - 1) / self.A # equal to (p_down / p_up) # p_base = self.p_base * k ** n = p_oracle_up(n) p_base: uint256 = self._p_oracle_up(n) # return self.p_oracle**3 / p_base**2 p_oracle: uint256 = self._price_oracle_ro()[0] return unsafe_div(p_oracle**2 / p_base * p_oracle, p_base) @external @view def p_current_up(n: int256) -> uint256: """ @notice Highest possible price of the band at current oracle price @param n Band number (can be negative) @return Price at 1e18 base """ return self._p_current_band(n + 1) @external @view def p_current_down(n: int256) -> uint256: """ @notice Lowest possible price of the band at current oracle price @param n Band number (can be negative) @return Price at 1e18 base """ return self._p_current_band(n) @external @view def p_oracle_up(n: int256) -> uint256: """ @notice Highest oracle price for the band to have liquidity when p = p_oracle @param n Band number (can be negative) @return Price at 1e18 base """ return self._p_oracle_up(n) @external @view def p_oracle_down(n: int256) -> uint256: """ @notice Lowest oracle price for the band to have liquidity when p = p_oracle @param n Band number (can be negative) @return Price at 1e18 base """ return self._p_oracle_up(n + 1) @internal @view def _get_y0(x: uint256, y: uint256, p_o: uint256, p_o_up: uint256) -> uint256: """ @notice Calculate y0 for the invariant based on current liquidity in band. The value of y0 has a meaning of amount of collateral when band has no stablecoin but current price is equal to both oracle price and upper band price. @param x Amount of stablecoin in band @param y Amount of collateral in band @param p_o External oracle price @param p_o_up Upper boundary of the band @return y0 """ assert p_o != 0 # solve: # p_o * A * y0**2 - y0 * (p_oracle_up/p_o * (A-1) * x + p_o**2/p_oracle_up * A * y) - xy = 0 b: uint256 = 0 # p_o_up * unsafe_sub(A, 1) * x / p_o + A * p_o**2 / p_o_up * y / 10**18 if x != 0: b = unsafe_div(p_o_up * Aminus1 * x, p_o) if y != 0: b += unsafe_div(A * p_o**2 / p_o_up * y, 10**18) if x > 0 and y > 0: D: uint256 = b**2 + unsafe_div(((4 * A) * p_o) * y, 10**18) * x return unsafe_div((b + self.sqrt_int(D)) * 10**18, unsafe_mul(2 * A, p_o)) else: return unsafe_div(b * 10**18, unsafe_mul(A, p_o)) @internal @view def _get_p(n: int256, x: uint256, y: uint256) -> uint256: """ @notice Get current AMM price in band @param n Band number @param x Amount of stablecoin in band @param y Amount of collateral in band @return Current price at 1e18 base """ p_o_up: uint256 = self._p_oracle_up(n) p_o: uint256 = self._price_oracle_ro()[0] assert p_o_up != 0 # Special cases if x == 0: if y == 0: # x and y are 0 # Return mid-band return unsafe_div((unsafe_div(unsafe_div(p_o**2, p_o_up) * p_o, p_o_up) * A), Aminus1) # if x == 0: # Lowest point of this band -> p_current_down return unsafe_div(unsafe_div(p_o**2, p_o_up) * p_o, p_o_up) if y == 0: # Highest point of this band -> p_current_up p_o_up = unsafe_div(p_o_up * Aminus1, A) # now this is _actually_ p_o_down return unsafe_div(p_o**2 / p_o_up * p_o, p_o_up) y0: uint256 = self._get_y0(x, y, p_o, p_o_up) # ^ that call also checks that p_o != 0 # (f(y0) + x) / (g(y0) + y) f: uint256 = unsafe_div(A * y0 * p_o, p_o_up) * p_o g: uint256 = unsafe_div(Aminus1 * y0 * p_o_up, p_o) return (f + x * 10**18) / (g + y) @external @view @nonreentrant('lock') def get_p() -> uint256: """ @notice Get current AMM price in active_band @return Current price at 1e18 base """ n: int256 = self.active_band return self._get_p(n, self.bands_x[n], self.bands_y[n]) @internal @view def _read_user_tick_numbers(user: address) -> int256[2]: """ @notice Unpacks and reads user tick numbers @param user User address @return Lowest and highest band the user deposited into """ ns: int256 = self.user_shares[user].ns n2: int256 = unsafe_div(ns, 2**128) n1: int256 = ns % 2**128 if n1 >= 2**127: n1 = unsafe_sub(n1, 2**128) n2 = unsafe_add(n2, 1) return [n1, n2] @external @view @nonreentrant('lock') def read_user_tick_numbers(user: address) -> int256[2]: """ @notice Unpacks and reads user tick numbers @param user User address @return Lowest and highest band the user deposited into """ return self._read_user_tick_numbers(user) @internal @view def _read_user_ticks(user: address, ns: int256[2]) -> DynArray[uint256, MAX_TICKS_UINT]: """ @notice Unpacks and reads user ticks (shares) for all the ticks user deposited into @param user User address @param size Number of ticks the user deposited into @return Array of shares the user has """ ticks: DynArray[uint256, MAX_TICKS_UINT] = [] size: uint256 = convert(ns[1] - ns[0] + 1, uint256) for i in range(MAX_TICKS / 2): if len(ticks) == size: break tick: uint256 = self.user_shares[user].ticks[i] ticks.append(tick & (2**128 - 1)) if len(ticks) == size: break ticks.append(shift(tick, -128)) return ticks @external @view @nonreentrant('lock') def can_skip_bands(n_end: int256) -> bool: """ @notice Check that we have no liquidity between active_band and `n_end` """ n: int256 = self.active_band for i in range(MAX_SKIP_TICKS): if n_end > n: if self.bands_y[n] != 0: return False n = unsafe_add(n, 1) else: if self.bands_x[n] != 0: return False n = unsafe_sub(n, 1) if n == n_end: # not including n_end break return True # Actually skipping bands: # * change self.active_band to the new n # * change self.p_base_mul # to do n2-n1 times (if n2 > n1): # out.base_mul = unsafe_div(out.base_mul * Aminus1, A) @external @view @nonreentrant('lock') def active_band_with_skip() -> int256: n0: int256 = self.active_band n: int256 = n0 min_band: int256 = self.min_band for i in range(MAX_SKIP_TICKS): if n < min_band: n = n0 - MAX_SKIP_TICKS break if self.bands_x[n] != 0: break n -= 1 return n @external @view @nonreentrant('lock') def has_liquidity(user: address) -> bool: """ @notice Check if `user` has any liquidity in the AMM """ return self.user_shares[user].ticks[0] != 0 @internal def save_user_shares(user: address, user_shares: DynArray[uint256, MAX_TICKS_UINT]): ptr: uint256 = 0 for j in range(MAX_TICKS_UINT / 2): if ptr >= len(user_shares): break tick: uint256 = user_shares[ptr] ptr = unsafe_add(ptr, 1) if len(user_shares) != ptr: tick = tick | shift(user_shares[ptr], 128) ptr = unsafe_add(ptr, 1) self.user_shares[user].ticks[j] = tick @external @nonreentrant('lock') def deposit_range(user: address, amount: uint256, n1: int256, n2: int256): """ @notice Deposit for a user in a range of bands. Only admin contract (Controller) can do it @param user User address @param amount Amount of collateral to deposit @param n1 Lower band in the deposit range @param n2 Upper band in the deposit range """ assert msg.sender == self.admin user_shares: DynArray[uint256, MAX_TICKS_UINT] = [] collateral_shares: DynArray[uint256, MAX_TICKS_UINT] = [] n0: int256 = self.active_band # We assume that n1,n2 area already sorted (and they are in Controller) assert n2 < 2**127 assert n1 > -2**127 lm: LMGauge = self.liquidity_mining_callback # Autoskip bands if we can for i in range(MAX_SKIP_TICKS + 1): if n1 > n0: if i != 0: self.active_band = n0 break assert self.bands_x[n0] == 0 and i < MAX_SKIP_TICKS, "Deposit below current band" n0 -= 1 n_bands: uint256 = unsafe_add(convert(unsafe_sub(n2, n1), uint256), 1) assert n_bands <= MAX_TICKS_UINT y_per_band: uint256 = unsafe_div(amount * COLLATERAL_PRECISION, n_bands) assert y_per_band > 100, "Amount too low" assert self.user_shares[user].ticks[0] == 0 # dev: User must have no liquidity self.user_shares[user].ns = unsafe_add(n1, unsafe_mul(n2, 2**128)) for i in range(MAX_TICKS): band: int256 = unsafe_add(n1, i) if band > n2: break assert self.bands_x[band] == 0, "Band not empty" y: uint256 = y_per_band if i == 0: y = amount * COLLATERAL_PRECISION - y * unsafe_sub(n_bands, 1) total_y: uint256 = self.bands_y[band] # Total / user share s: uint256 = self.total_shares[band] ds: uint256 = unsafe_div((s + DEAD_SHARES) * y, total_y + 1) assert ds > 0, "Amount too low" user_shares.append(ds) s += ds assert s <= 2**128 - 1 self.total_shares[band] = s total_y += y self.bands_y[band] = total_y if lm.address != empty(address): # If initial s == 0 - s becomes equal to y which is > 100 => nonzero collateral_shares.append(unsafe_div(total_y * 10**18, s)) self.min_band = min(self.min_band, n1) self.max_band = max(self.max_band, n2) self.save_user_shares(user, user_shares) self.rate_mul = self._rate_mul() self.rate_time = block.timestamp log Deposit(user, amount, n1, n2) if lm.address != empty(address): lm.callback_collateral_shares(n1, collateral_shares) lm.callback_user_shares(user, n1, user_shares) @external @nonreentrant('lock') def withdraw(user: address, frac: uint256) -> uint256[2]: """ @notice Withdraw all liquidity for the user. Only admin contract can do it @param user User who owns liquidity @param frac Fraction to withdraw (1e18 being 100%) @return Amount of [stablecoins, collateral] withdrawn """ assert msg.sender == self.admin assert frac <= 10**18 lm: LMGauge = self.liquidity_mining_callback ns: int256[2] = self._read_user_tick_numbers(user) n: int256 = ns[0] user_shares: DynArray[uint256, MAX_TICKS_UINT] = self._read_user_ticks(user, ns) assert user_shares[0] > 0, "No deposits" total_x: uint256 = 0 total_y: uint256 = 0 min_band: int256 = self.min_band old_min_band: int256 = min_band max_band: int256 = self.max_band old_max_band: int256 = max_band for i in range(MAX_TICKS): x: uint256 = self.bands_x[n] y: uint256 = self.bands_y[n] ds: uint256 = unsafe_div(frac * user_shares[i], 10**18) # Can ONLY zero out when frac == 10**18 user_shares[i] = unsafe_sub(user_shares[i], ds) s: uint256 = self.total_shares[n] new_shares: uint256 = s - ds self.total_shares[n] = new_shares s += DEAD_SHARES dx: uint256 = (x + 1) * ds / s dy: uint256 = unsafe_div((y + 1) * ds, s) x -= dx y -= dy # If withdrawal is the last one - tranfer dust to admin fees if new_shares == 0: if x > 0: self.admin_fees_x += x if y > 0: self.admin_fees_y += y / COLLATERAL_PRECISION x = 0 y = 0 if n == min_band: if x == 0: if y == 0: min_band += 1 if x > 0 or y > 0: max_band = n self.bands_x[n] = x self.bands_y[n] = y total_x += dx total_y += dy if n == ns[1]: break else: n = unsafe_add(n, 1) # Empty the ticks if frac == 10**18: self.user_shares[user].ticks[0] = 0 else: self.save_user_shares(user, user_shares) if old_min_band != min_band: self.min_band = min_band if old_max_band <= ns[1]: self.max_band = max_band total_x = unsafe_div(total_x, BORROWED_PRECISION) total_y = unsafe_div(total_y, COLLATERAL_PRECISION) log Withdraw(user, total_x, total_y) self.rate_mul = self._rate_mul() self.rate_time = block.timestamp if lm.address != empty(address): lm.callback_collateral_shares(0, []) # collateral/shares ratio is unchanged lm.callback_user_shares(user, ns[0], user_shares) return [total_x, total_y] @internal @view def calc_swap_out(pump: bool, in_amount: uint256, p_o: uint256[2], in_precision: uint256, out_precision: uint256) -> DetailedTrade: """ @notice Calculate the amount which can be obtained as a result of exchange. If couldn't exchange all - will also update the amount which was actually used. Also returns other parameters related to state after swap. This function is core to the AMM functionality. @param pump Indicates whether the trade buys or sells collateral @param in_amount Amount of token going in @param p_o Current oracle price and ratio (p_o, dynamic_fee) @return Amounts spent and given out, initial and final bands of the AMM, new amounts of coins in bands in the AMM, as well as admin fee charged, all in one data structure """ # pump = True: borrowable (USD) in, collateral (ETH) out; going up # pump = False: collateral (ETH) in, borrowable (USD) out; going down min_band: int256 = self.min_band max_band: int256 = self.max_band out: DetailedTrade = empty(DetailedTrade) out.n2 = self.active_band p_o_up: uint256 = self._p_oracle_up(out.n2) x: uint256 = self.bands_x[out.n2] y: uint256 = self.bands_y[out.n2] in_amount_left: uint256 = in_amount antifee: uint256 = unsafe_div( (10**18)**2, unsafe_sub(10**18, max(self.fee, p_o[1])) ) admin_fee: uint256 = self.admin_fee j: uint256 = MAX_TICKS_UINT for i in range(MAX_TICKS + MAX_SKIP_TICKS): y0: uint256 = 0 f: uint256 = 0 g: uint256 = 0 Inv: uint256 = 0 if x > 0 or y > 0: if j == MAX_TICKS_UINT: out.n1 = out.n2 j = 0 y0 = self._get_y0(x, y, p_o[0], p_o_up) # <- also checks p_o f = unsafe_div(A * y0 * p_o[0] / p_o_up * p_o[0], 10**18) g = unsafe_div(Aminus1 * y0 * p_o_up, p_o[0]) Inv = (f + x) * (g + y) if j != MAX_TICKS_UINT: # Initialize _tick: uint256 = y if pump: _tick = x out.ticks_in.append(_tick) # Need this to break if price is too far p_ratio: uint256 = unsafe_div(p_o_up * 10**18, p_o[0]) if pump: if y != 0: if g != 0: x_dest: uint256 = (unsafe_div(Inv, g) - f) - x dx: uint256 = unsafe_div(x_dest * antifee, 10**18) if dx >= in_amount_left: # This is the last band x_dest = unsafe_div(in_amount_left * 10**18, antifee) # LESS than in_amount_left out.last_tick_j = min(Inv / (f + (x + x_dest)) - g + 1, y) # Should be always >= 0 x_dest = unsafe_div(unsafe_sub(in_amount_left, x_dest) * admin_fee, 10**18) # abs admin fee now x += in_amount_left # x is precise after this # Round down the output out.out_amount += y - out.last_tick_j out.ticks_in[j] = x - x_dest out.in_amount = in_amount out.admin_fee = unsafe_add(out.admin_fee, x_dest) break else: # We go into the next band dx = max(dx, 1) # Prevents from leaving dust in the band x_dest = unsafe_div(unsafe_sub(dx, x_dest) * admin_fee, 10**18) # abs admin fee now in_amount_left -= dx out.ticks_in[j] = x + dx - x_dest out.in_amount += dx out.out_amount += y out.admin_fee = unsafe_add(out.admin_fee, x_dest) if i != MAX_TICKS + MAX_SKIP_TICKS - 1: if out.n2 == max_band: break if j == MAX_TICKS_UINT - 1: break if p_ratio < 10**36 / MAX_ORACLE_DN_POW: # Don't allow to be away by more than ~50 ticks break out.n2 += 1 p_o_up = unsafe_div(p_o_up * Aminus1, A) x = 0 y = self.bands_y[out.n2] else: # dump if x != 0: if f != 0: y_dest: uint256 = (unsafe_div(Inv, f) - g) - y dy: uint256 = unsafe_div(y_dest * antifee, 10**18) if dy >= in_amount_left: # This is the last band y_dest = unsafe_div(in_amount_left * 10**18, antifee) out.last_tick_j = min(Inv / (g + (y + y_dest)) - f + 1, x) y_dest = unsafe_div(unsafe_sub(in_amount_left, y_dest) * admin_fee, 10**18) # abs admin fee now y += in_amount_left out.out_amount += x - out.last_tick_j out.ticks_in[j] = y - y_dest out.in_amount = in_amount out.admin_fee = unsafe_add(out.admin_fee, y_dest) break else: # We go into the next band dy = max(dy, 1) # Prevents from leaving dust in the band y_dest = unsafe_div(unsafe_sub(dy, y_dest) * admin_fee, 10**18) # abs admin fee now in_amount_left -= dy out.ticks_in[j] = y + dy - y_dest out.in_amount += dy out.out_amount += x out.admin_fee = unsafe_add(out.admin_fee, y_dest) if i != MAX_TICKS + MAX_SKIP_TICKS - 1: if out.n2 == min_band: break if j == MAX_TICKS_UINT - 1: break if p_ratio > MAX_ORACLE_DN_POW: # Don't allow to be away by more than ~50 ticks break out.n2 -= 1 p_o_up = unsafe_div(p_o_up * A, Aminus1) x = self.bands_x[out.n2] y = 0 if j != MAX_TICKS_UINT: j = unsafe_add(j, 1) # Round up what goes in and down what goes out # ceil(in_amount_used/BORROWED_PRECISION) * BORROWED_PRECISION out.in_amount = unsafe_mul(unsafe_div(unsafe_add(out.in_amount, unsafe_sub(in_precision, 1)), in_precision), in_precision) out.out_amount = unsafe_mul(unsafe_div(out.out_amount, out_precision), out_precision) return out @internal @view def _get_dxdy(i: uint256, j: uint256, amount: uint256, is_in: bool) -> DetailedTrade: """ @notice Method to use to calculate out amount and spent in amount @param i Input coin index @param j Output coin index @param amount Amount of input coin to swap @param is_in Whether IN our OUT amount is known @return DetailedTrade with all swap results """ # i = 0: borrowable (USD) in, collateral (ETH) out; going up # i = 1: collateral (ETH) in, borrowable (USD) out; going down assert (i == 0 and j == 1) or (i == 1 and j == 0), "Wrong index" out: DetailedTrade = empty(DetailedTrade) if amount == 0: return out in_precision: uint256 = COLLATERAL_PRECISION out_precision: uint256 = BORROWED_PRECISION if i == 0: in_precision = BORROWED_PRECISION out_precision = COLLATERAL_PRECISION p_o: uint256[2] = self._price_oracle_ro() if is_in: out = self.calc_swap_out(i == 0, amount * in_precision, p_o, in_precision, out_precision) else: out = self.calc_swap_in(i == 0, amount * out_precision, p_o, in_precision, out_precision) out.in_amount = unsafe_div(out.in_amount, in_precision) out.out_amount = unsafe_div(out.out_amount, out_precision) return out @external @view @nonreentrant('lock') def get_dy(i: uint256, j: uint256, in_amount: uint256) -> uint256: """ @notice Method to use to calculate out amount @param i Input coin index @param j Output coin index @param in_amount Amount of input coin to swap @return Amount of coin j to give out """ return self._get_dxdy(i, j, in_amount, True).out_amount @external @view @nonreentrant('lock') def get_dxdy(i: uint256, j: uint256, in_amount: uint256) -> (uint256, uint256): """ @notice Method to use to calculate out amount and spent in amount @param i Input coin index @param j Output coin index @param in_amount Amount of input coin to swap @return A tuple with in_amount used and out_amount returned """ out: DetailedTrade = self._get_dxdy(i, j, in_amount, True) return (out.in_amount, out.out_amount) @internal def _exchange(i: uint256, j: uint256, amount: uint256, minmax_amount: uint256, _for: address, use_in_amount: bool) -> uint256[2]: """ @notice Exchanges two coins, callable by anyone @param i Input coin index @param j Output coin index @param amount Amount of input/output coin to swap @param minmax_amount Minimal/maximum amount to get as output/input @param _for Address to send coins to @param use_in_amount Whether input or output amount is specified @return Amount of coins given in and out """ assert (i == 0 and j == 1) or (i == 1 and j == 0), "Wrong index" p_o: uint256[2] = self._price_oracle_w() # Let's update the oracle even if we exchange 0 if amount == 0: return [0, 0] lm: LMGauge = self.liquidity_mining_callback collateral_shares: DynArray[uint256, MAX_TICKS_UINT] = [] in_coin: ERC20 = BORROWED_TOKEN out_coin: ERC20 = COLLATERAL_TOKEN in_precision: uint256 = BORROWED_PRECISION out_precision: uint256 = COLLATERAL_PRECISION if i == 1: in_precision = out_precision in_coin = out_coin out_precision = BORROWED_PRECISION out_coin = BORROWED_TOKEN out: DetailedTrade = empty(DetailedTrade) if use_in_amount: out = self.calc_swap_out(i == 0, amount * in_precision, p_o, in_precision, out_precision) else: out = self.calc_swap_in(i == 0, amount * out_precision, p_o, in_precision, out_precision) in_amount_done: uint256 = unsafe_div(out.in_amount, in_precision) out_amount_done: uint256 = unsafe_div(out.out_amount, out_precision) if use_in_amount: assert out_amount_done >= minmax_amount, "Slippage" else: assert in_amount_done <= minmax_amount, "Slippage" if out_amount_done == 0 or in_amount_done == 0: return [0, 0] out.admin_fee = unsafe_div(out.admin_fee, in_precision) if i == 0: self.admin_fees_x += out.admin_fee else: self.admin_fees_y += out.admin_fee assert in_coin.transferFrom(msg.sender, self, in_amount_done, default_return_value=True) assert out_coin.transfer(_for, out_amount_done, default_return_value=True) n: int256 = min(out.n1, out.n2) n_start: int256 = n n_diff: int256 = abs(unsafe_sub(out.n2, out.n1)) for k in range(MAX_TICKS): x: uint256 = 0 y: uint256 = 0 if i == 0: x = out.ticks_in[k] if n == out.n2: y = out.last_tick_j else: y = out.ticks_in[unsafe_sub(n_diff, k)] if n == out.n2: x = out.last_tick_j self.bands_x[n] = x self.bands_y[n] = y if lm.address != empty(address): s: uint256 = 0 if y > 0: s = unsafe_div(y * 10**18, self.total_shares[n]) collateral_shares.append(s) if k == n_diff: break n = unsafe_add(n, 1) self.active_band = out.n2 log TokenExchange(_for, i, in_amount_done, j, out_amount_done) if lm.address != empty(address): lm.callback_collateral_shares(n_start, collateral_shares) return [in_amount_done, out_amount_done] @internal @view def calc_swap_in(pump: bool, out_amount: uint256, p_o: uint256[2], in_precision: uint256, out_precision: uint256) -> DetailedTrade: """ @notice Calculate the input amount required to receive the desired output amount. If couldn't exchange all - will also update the amount which was actually received. Also returns other parameters related to state after swap. @param pump Indicates whether the trade buys or sells collateral @param out_amount Desired amount of token going out @param p_o Current oracle price and antisandwich fee (p_o, dynamic_fee) @return Amounts required and given out, initial and final bands of the AMM, new amounts of coins in bands in the AMM, as well as admin fee charged, all in one data structure """ # pump = True: borrowable (USD) in, collateral (ETH) out; going up # pump = False: collateral (ETH) in, borrowable (USD) out; going down min_band: int256 = self.min_band max_band: int256 = self.max_band out: DetailedTrade = empty(DetailedTrade) out.n2 = self.active_band p_o_up: uint256 = self._p_oracle_up(out.n2) x: uint256 = self.bands_x[out.n2] y: uint256 = self.bands_y[out.n2] out_amount_left: uint256 = out_amount antifee: uint256 = unsafe_div( (10**18)**2, unsafe_sub(10**18, max(self.fee, p_o[1])) ) admin_fee: uint256 = self.admin_fee j: uint256 = MAX_TICKS_UINT for i in range(MAX_TICKS + MAX_SKIP_TICKS): y0: uint256 = 0 f: uint256 = 0 g: uint256 = 0 Inv: uint256 = 0 if x > 0 or y > 0: if j == MAX_TICKS_UINT: out.n1 = out.n2 j = 0 y0 = self._get_y0(x, y, p_o[0], p_o_up) # <- also checks p_o f = unsafe_div(A * y0 * p_o[0] / p_o_up * p_o[0], 10**18) g = unsafe_div(Aminus1 * y0 * p_o_up, p_o[0]) Inv = (f + x) * (g + y) if j != MAX_TICKS_UINT: # Initialize _tick: uint256 = y if pump: _tick = x out.ticks_in.append(_tick) # Need this to break if price is too far p_ratio: uint256 = unsafe_div(p_o_up * 10**18, p_o[0]) if pump: if y != 0: if g != 0: if y >= out_amount_left: # This is the last band out.last_tick_j = unsafe_sub(y, out_amount_left) x_dest: uint256 = Inv / (g + out.last_tick_j) - f - x dx: uint256 = unsafe_div(x_dest * antifee, 10**18) # MORE than x_dest out.out_amount = out_amount # We successfully found liquidity for all the out_amount out.in_amount += dx x_dest = unsafe_div(unsafe_sub(dx, x_dest) * admin_fee, 10**18) # abs admin fee now out.ticks_in[j] = x + dx - x_dest out.admin_fee = unsafe_add(out.admin_fee, x_dest) break else: # We go into the next band x_dest: uint256 = (unsafe_div(Inv, g) - f) - x dx: uint256 = max(unsafe_div(x_dest * antifee, 10**18), 1) out_amount_left -= y out.in_amount += dx out.out_amount += y x_dest = unsafe_div(unsafe_sub(dx, x_dest) * admin_fee, 10**18) # abs admin fee now out.ticks_in[j] = x + dx - x_dest out.admin_fee = unsafe_add(out.admin_fee, x_dest) if i != MAX_TICKS + MAX_SKIP_TICKS - 1: if out.n2 == max_band: break if j == MAX_TICKS_UINT - 1: break if p_ratio < 10**36 / MAX_ORACLE_DN_POW: # Don't allow to be away by more than ~50 ticks break out.n2 += 1 p_o_up = unsafe_div(p_o_up * Aminus1, A) x = 0 y = self.bands_y[out.n2] else: # dump if x != 0: if f != 0: if x >= out_amount_left: # This is the last band out.last_tick_j = unsafe_sub(x, out_amount_left) y_dest: uint256 = Inv / (f + out.last_tick_j) - g - y dy: uint256 = unsafe_div(y_dest * antifee, 10**18) # MORE than y_dest out.out_amount = out_amount out.in_amount += dy y_dest = unsafe_div(unsafe_sub(dy, y_dest) * admin_fee, 10**18) # abs admin fee now out.ticks_in[j] = y + dy - y_dest out.admin_fee = unsafe_add(out.admin_fee, y_dest) break else: # We go into the next band y_dest: uint256 = (unsafe_div(Inv, f) - g) - y dy: uint256 = max(unsafe_div(y_dest * antifee, 10**18), 1) out_amount_left -= x out.in_amount += dy out.out_amount += x y_dest = unsafe_div(unsafe_sub(dy, y_dest) * admin_fee, 10**18) # abs admin fee now out.ticks_in[j] = y + dy - y_dest out.admin_fee = unsafe_add(out.admin_fee, y_dest) if i != MAX_TICKS + MAX_SKIP_TICKS - 1: if out.n2 == min_band: break if j == MAX_TICKS_UINT - 1: break if p_ratio > MAX_ORACLE_DN_POW: # Don't allow to be away by more than ~50 ticks break out.n2 -= 1 p_o_up = unsafe_div(p_o_up * A, Aminus1) x = self.bands_x[out.n2] y = 0 if j != MAX_TICKS_UINT: j = unsafe_add(j, 1) # Round up what goes in and down what goes out # ceil(in_amount_used/BORROWED_PRECISION) * BORROWED_PRECISION out.in_amount = unsafe_mul(unsafe_div(unsafe_add(out.in_amount, unsafe_sub(in_precision, 1)), in_precision), in_precision) out.out_amount = unsafe_mul(unsafe_div(out.out_amount, out_precision), out_precision) return out @external @view @nonreentrant('lock') def get_dx(i: uint256, j: uint256, out_amount: uint256) -> uint256: """ @notice Method to use to calculate in amount required to receive the desired out_amount @param i Input coin index @param j Output coin index @param out_amount Desired amount of output coin to receive @return Amount of coin i to spend """ # i = 0: borrowable (USD) in, collateral (ETH) out; going up # i = 1: collateral (ETH) in, borrowable (USD) out; going down return self._get_dxdy(i, j, out_amount, False).in_amount @external @view @nonreentrant('lock') def get_dydx(i: uint256, j: uint256, out_amount: uint256) -> (uint256, uint256): """ @notice Method to use to calculate in amount required and out amount received @param i Input coin index @param j Output coin index @param out_amount Desired amount of output coin to receive @return A tuple with out_amount received and in_amount returned """ # i = 0: borrowable (USD) in, collateral (ETH) out; going up # i = 1: collateral (ETH) in, borrowable (USD) out; going down out: DetailedTrade = self._get_dxdy(i, j, out_amount, False) return (out.out_amount, out.in_amount) @external @nonreentrant('lock') def exchange(i: uint256, j: uint256, in_amount: uint256, min_amount: uint256, _for: address = msg.sender) -> uint256[2]: """ @notice Exchanges two coins, callable by anyone @param i Input coin index @param j Output coin index @param in_amount Amount of input coin to swap @param min_amount Minimal amount to get as output @param _for Address to send coins to @return Amount of coins given in/out """ return self._exchange(i, j, in_amount, min_amount, _for, True) @external @nonreentrant('lock') def exchange_dy(i: uint256, j: uint256, out_amount: uint256, max_amount: uint256, _for: address = msg.sender) -> uint256[2]: """ @notice Exchanges two coins, callable by anyone @param i Input coin index @param j Output coin index @param out_amount Desired amount of output coin to receive @param max_amount Maximum amount to spend (revert if more) @param _for Address to send coins to @return Amount of coins given in/out """ return self._exchange(i, j, out_amount, max_amount, _for, False) @internal @view def get_xy_up(user: address, use_y: bool) -> uint256: """ @notice Measure the amount of y (collateral) in the band n if we adiabatically trade near p_oracle on the way up, or the amount of x (stablecoin) if we trade adiabatically down @param user User the amount is calculated for @param use_y Calculate amount of collateral if True and of stablecoin if False @return Amount of coins """ ns: int256[2] = self._read_user_tick_numbers(user) ticks: DynArray[uint256, MAX_TICKS_UINT] = self._read_user_ticks(user, ns) if ticks[0] == 0: # Even dynamic array will have 0th element set here return 0 p_o: uint256 = self._price_oracle_ro()[0] assert p_o != 0 n: int256 = ns[0] - 1 n_active: int256 = self.active_band p_o_down: uint256 = self._p_oracle_up(ns[0]) XY: uint256 = 0 for i in range(MAX_TICKS): n += 1 if n > ns[1]: break x: uint256 = 0 y: uint256 = 0 if n >= n_active: y = self.bands_y[n] if n <= n_active: x = self.bands_x[n] # p_o_up: uint256 = self._p_oracle_up(n) p_o_up: uint256 = p_o_down # p_o_down = self._p_oracle_up(n + 1) p_o_down = unsafe_div(p_o_down * Aminus1, A) if x == 0: if y == 0: continue total_share: uint256 = self.total_shares[n] user_share: uint256 = ticks[i] if total_share == 0: continue if user_share == 0: continue total_share += DEAD_SHARES # Also ideally we'd want to add +1 to all quantities when calculating with shares # but we choose to save bytespace and slightly under-estimate the result of this call # which is also more conservative # Also this will revert if p_o_down is 0, and p_o_down is 0 if p_o_up is 0 p_current_mid: uint256 = unsafe_div(unsafe_div(p_o**2 / p_o_down * p_o, p_o_down) * Aminus1, A) # if p_o > p_o_up - we "trade" everything to y and then convert to the result # if p_o < p_o_down - "trade" to x, then convert to result # otherwise we are in-band, so we do the more complex logic to trade # to p_o rather than to the edge of the band # trade to the edge of the band == getting to the band edge while p_o=const # Cases when special conversion is not needed (to save on computations) if x == 0 or y == 0: if p_o > p_o_up: # p_o < p_current_down # all to y at constant p_o, then to target currency adiabatically y_equiv: uint256 = y if y == 0: y_equiv = x * 10**18 / p_current_mid if use_y: XY += unsafe_div(y_equiv * user_share, total_share) else: XY += unsafe_div(unsafe_div(y_equiv * p_o_up, SQRT_BAND_RATIO) * user_share, total_share) continue elif p_o < p_o_down: # p_o > p_current_up # all to x at constant p_o, then to target currency adiabatically x_equiv: uint256 = x if x == 0: x_equiv = unsafe_div(y * p_current_mid, 10**18) if use_y: XY += unsafe_div(unsafe_div(x_equiv * SQRT_BAND_RATIO, p_o_up) * user_share, total_share) else: XY += unsafe_div(x_equiv * user_share, total_share) continue # If we are here - we need to "trade" to somewhere mid-band # So we need more heavy math y0: uint256 = self._get_y0(x, y, p_o, p_o_up) f: uint256 = unsafe_div(unsafe_div(A * y0 * p_o, p_o_up) * p_o, 10**18) g: uint256 = unsafe_div(Aminus1 * y0 * p_o_up, p_o) # (f + x)(g + y) = const = p_top * A**2 * y0**2 = I Inv: uint256 = (f + x) * (g + y) # p = (f + x) / (g + y) => p * (g + y)**2 = I or (f + x)**2 / p = I # First, "trade" in this band to p_oracle x_o: uint256 = 0 y_o: uint256 = 0 if p_o > p_o_up: # p_o < p_current_down, all to y # x_o = 0 y_o = unsafe_sub(max(Inv / f, g), g) if use_y: XY += unsafe_div(y_o * user_share, total_share) else: XY += unsafe_div(unsafe_div(y_o * p_o_up, SQRT_BAND_RATIO) * user_share, total_share) elif p_o < p_o_down: # p_o > p_current_up, all to x # y_o = 0 x_o = unsafe_sub(max(Inv / g, f), f) if use_y: XY += unsafe_div(unsafe_div(x_o * SQRT_BAND_RATIO, p_o_up) * user_share, total_share) else: XY += unsafe_div(x_o * user_share, total_share) else: y_o = unsafe_sub(max(self.sqrt_int(unsafe_div(Inv * 10**18, p_o)), g), g) x_o = unsafe_sub(max(Inv / (g + y_o), f), f) # Now adiabatic conversion from definitely in-band if use_y: XY += unsafe_div((y_o + x_o * 10**18 / self.sqrt_int(p_o_up * p_o)) * user_share, total_share) else: XY += unsafe_div((x_o + unsafe_div(y_o * self.sqrt_int(p_o_down * p_o), 10**18)) * user_share, total_share) if use_y: return unsafe_div(XY, COLLATERAL_PRECISION) else: return unsafe_div(XY, BORROWED_PRECISION) @external @view @nonreentrant('lock') def get_y_up(user: address) -> uint256: """ @notice Measure the amount of y (collateral) in the band n if we adiabatically trade near p_oracle on the way up @param user User the amount is calculated for @return Amount of coins """ return self.get_xy_up(user, True) @external @view @nonreentrant('lock') def get_x_down(user: address) -> uint256: """ @notice Measure the amount of x (stablecoin) if we trade adiabatically down @param user User the amount is calculated for @return Amount of coins """ return self.get_xy_up(user, False) @internal @view def _get_xy(user: address, is_sum: bool) -> DynArray[uint256, MAX_TICKS_UINT][2]: """ @notice A low-gas function to measure amounts of stablecoins and collateral which user currently owns @param user User address @param is_sum Return sum or amounts by bands @return Amounts of (stablecoin, collateral) in a tuple """ xs: DynArray[uint256, MAX_TICKS_UINT] = [] ys: DynArray[uint256, MAX_TICKS_UINT] = [] if is_sum: xs.append(0) ys.append(0) ns: int256[2] = self._read_user_tick_numbers(user) ticks: DynArray[uint256, MAX_TICKS_UINT] = self._read_user_ticks(user, ns) if ticks[0] != 0: for i in range(MAX_TICKS): total_shares: uint256 = self.total_shares[ns[0]] + DEAD_SHARES ds: uint256 = ticks[i] dx: uint256 = unsafe_div((self.bands_x[ns[0]] + 1) * ds, total_shares) dy: uint256 = unsafe_div((self.bands_y[ns[0]] + 1) * ds, total_shares) if is_sum: xs[0] += dx ys[0] += dy else: xs.append(unsafe_div(dx, BORROWED_PRECISION)) ys.append(unsafe_div(dy, COLLATERAL_PRECISION)) if ns[0] == ns[1]: break ns[0] = unsafe_add(ns[0], 1) if is_sum: xs[0] = unsafe_div(xs[0], BORROWED_PRECISION) ys[0] = unsafe_div(ys[0], COLLATERAL_PRECISION) return [xs, ys] @external @view @nonreentrant('lock') def get_sum_xy(user: address) -> uint256[2]: """ @notice A low-gas function to measure amounts of stablecoins and collateral which user currently owns @param user User address @return Amounts of (stablecoin, collateral) in a tuple """ xy: DynArray[uint256, MAX_TICKS_UINT][2] = self._get_xy(user, True) return [xy[0][0], xy[1][0]] @external @view @nonreentrant('lock') def get_xy(user: address) -> DynArray[uint256, MAX_TICKS_UINT][2]: """ @notice A low-gas function to measure amounts of stablecoins and collateral by bands which user currently owns @param user User address @return Amounts of (stablecoin, collateral) by bands in a tuple """ return self._get_xy(user, False) @external @view @nonreentrant('lock') def get_amount_for_price(p: uint256) -> (uint256, bool): """ @notice Amount necessary to be exchanged to have the AMM at the final price `p` @return (amount, is_pump) """ min_band: int256 = self.min_band max_band: int256 = self.max_band n: int256 = self.active_band p_o: uint256[2] = self._price_oracle_ro() p_o_up: uint256 = self._p_oracle_up(n) p_down: uint256 = unsafe_div(unsafe_div(p_o[0]**2, p_o_up) * p_o[0], p_o_up) # p_current_down p_up: uint256 = unsafe_div(p_down * A2, Aminus12) # p_crurrent_up amount: uint256 = 0 y0: uint256 = 0 f: uint256 = 0 g: uint256 = 0 Inv: uint256 = 0 j: uint256 = MAX_TICKS_UINT pump: bool = True for i in range(MAX_TICKS + MAX_SKIP_TICKS): assert p_o_up > 0 x: uint256 = self.bands_x[n] y: uint256 = self.bands_y[n] if i == 0: if p < self._get_p(n, x, y): pump = False not_empty: bool = x > 0 or y > 0 if not_empty: y0 = self._get_y0(x, y, p_o[0], p_o_up) f = unsafe_div(unsafe_div(A * y0 * p_o[0], p_o_up) * p_o[0], 10**18) g = unsafe_div(Aminus1 * y0 * p_o_up, p_o[0]) Inv = (f + x) * (g + y) if j == MAX_TICKS_UINT: j = 0 if p <= p_up: if p >= p_down: if not_empty: ynew: uint256 = unsafe_sub(max(self.sqrt_int(Inv * 10**18 / p), g), g) xnew: uint256 = unsafe_sub(max(Inv / (g + ynew), f), f) if pump: amount += unsafe_sub(max(xnew, x), x) else: amount += unsafe_sub(max(ynew, y), y) break # Need this to break if price is too far p_ratio: uint256 = unsafe_div(p_o_up * 10**18, p_o[0]) if pump: if not_empty: amount += (Inv / g - f) - x if n == max_band: break if j == MAX_TICKS_UINT - 1: break if p_ratio < 10**36 / MAX_ORACLE_DN_POW: # Don't allow to be away by more than ~50 ticks break n += 1 p_down = p_up p_up = unsafe_div(p_up * A2, Aminus12) p_o_up = unsafe_div(p_o_up * Aminus1, A) else: if not_empty: amount += (Inv / f - g) - y if n == min_band: break if j == MAX_TICKS_UINT - 1: break if p_ratio > MAX_ORACLE_DN_POW: # Don't allow to be away by more than ~50 ticks break n -= 1 p_up = p_down p_down = unsafe_div(p_down * Aminus12, A2) p_o_up = unsafe_div(p_o_up * A, Aminus1) if j != MAX_TICKS_UINT: j = unsafe_add(j, 1) amount = amount * 10**18 / unsafe_sub(10**18, max(self.fee, p_o[1])) if amount == 0: return 0, pump # Precision and round up if pump: amount = unsafe_add(unsafe_div(unsafe_sub(amount, 1), BORROWED_PRECISION), 1) else: amount = unsafe_add(unsafe_div(unsafe_sub(amount, 1), COLLATERAL_PRECISION), 1) return amount, pump @external @nonreentrant('lock') def set_rate(rate: uint256) -> uint256: """ @notice Set interest rate. That affects the dependence of AMM base price over time @param rate New rate in units of int(fraction * 1e18) per second @return rate_mul multiplier (e.g. 1.0 + integral(rate, dt)) """ assert msg.sender == self.admin rate_mul: uint256 = self._rate_mul() self.rate_mul = rate_mul self.rate_time = block.timestamp self.rate = rate log SetRate(rate, rate_mul, block.timestamp) return rate_mul @external @nonreentrant('lock') def set_fee(fee: uint256): """ @notice Set AMM fee @param fee Fee where 1e18 == 100% """ assert msg.sender == self.admin self.fee = fee log SetFee(fee) @external @nonreentrant('lock') def set_admin_fee(fee: uint256): """ @notice Set admin fee - fraction of the AMM fee to go to admin @param fee Admin fee where 1e18 == 100% """ assert msg.sender == self.admin self.admin_fee = fee log SetAdminFee(fee) @external @nonreentrant('lock') def reset_admin_fees(): """ @notice Zero out AMM fees collected """ assert msg.sender == self.admin self.admin_fees_x = 0 self.admin_fees_y = 0 # nonreentrant decorator is in Controller which is admin @external def set_callback(liquidity_mining_callback: LMGauge): """ @notice Set a gauge address with callbacks for liquidity mining for collateral @param liquidity_mining_callback Gauge address """ assert msg.sender == self.admin self.liquidity_mining_callback = liquidity_mining_callback
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:"get_dydx","inputs":[{"name":"i","type":"uint256"},{"name":"j","type":"uint256"},{"name":"out_amount","type":"uint256"}],"outputs":[{"name":"","type":"uint256"},{"name":"","type":"uint256"}]},{"stateMutability":"nonpayable","type":"function","name":"exchange","inputs":[{"name":"i","type":"uint256"},{"name":"j","type":"uint256"},{"name":"in_amount","type":"uint256"},{"name":"min_amount","type":"uint256"}],"outputs":[{"name":"","type":"uint256[2]"}]},{"stateMutability":"nonpayable","type":"function","name":"exchange","inputs":[{"name":"i","type":"uint256"},{"name":"j","type":"uint256"},{"name":"in_amount","type":"uint256"},{"name":"min_amount","type":"uint256"},{"name":"_for","type":"address"}],"outputs":[{"name":"","type":"uint256[2]"}]},{"stateMutability":"nonpayable","type":"function","name":"exchange_dy","inputs":[{"name":"i","type":"uint256"},{"name":"j","type":"uint256"},{"name":"out_amount","type":"uint256"},{"name":"max_amount","type":"uint256"}],"outputs":[{"name":"","type":"uint256[2]"}]},{"stateMutability":"nonpayable","type":"function","name":"exchange_dy","inputs":[{"name":"i","type":"uint256"},{"name":"j","type":"uint256"},{"name":"out_amount","type":"uint256"},{"name":"max_amount","type":"uint256"},{"name":"_for","type":"address"}],"outputs":[{"name":"","type":"uint256[2]"}]},{"stateMutability":"view","type":"function","name":"get_y_up","inputs":[{"name":"user","type":"address"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"get_x_down","inputs":[{"name":"user","type":"address"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"get_sum_xy","inputs":[{"name":"user","type":"address"}],"outputs":[{"name":"","type":"uint256[2]"}]},{"stateMutability":"view","type":"function","name":"get_xy","inputs":[{"name":"user","type":"address"}],"outputs":[{"name":"","type":"uint256[][2]"}]},{"stateMutability":"view","type":"function","name":"get_amount_for_price","inputs":[{"name":"p","type":"uint256"}],"outputs":[{"name":"","type":"uint256"},{"name":"","type":"bool"}]},{"stateMutability":"nonpayable","type":"function","name":"set_rate","inputs":[{"name":"rate","type":"uint256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"nonpayable","type":"function","name":"set_fee","inputs":[{"name":"fee","type":"uint256"}],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"set_admin_fee","inputs":[{"name":"fee","type":"uint256"}],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"reset_admin_fees","inputs":[],"outputs":[]},{"stateMutability":"nonpayable","type":"function","name":"set_callback","inputs":[{"name":"liquidity_mining_callback","type":"address"}],"outputs":[]},{"stateMutability":"view","type":"function","name":"admin","inputs":[],"outputs":[{"name":"","type":"address"}]},{"stateMutability":"view","type":"function","name":"A","inputs":[],"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":"rate","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"active_band","inputs":[],"outputs":[{"name":"","type":"int256"}]},{"stateMutability":"view","type":"function","name":"min_band","inputs":[],"outputs":[{"name":"","type":"int256"}]},{"stateMutability":"view","type":"function","name":"max_band","inputs":[],"outputs":[{"name":"","type":"int256"}]},{"stateMutability":"view","type":"function","name":"admin_fees_x","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"admin_fees_y","inputs":[],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"price_oracle_contract","inputs":[],"outputs":[{"name":"","type":"address"}]},{"stateMutability":"view","type":"function","name":"bands_x","inputs":[{"name":"arg0","type":"int256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"bands_y","inputs":[{"name":"arg0","type":"int256"}],"outputs":[{"name":"","type":"uint256"}]},{"stateMutability":"view","type":"function","name":"liquidity_mining_callback","inputs":[],"outputs":[{"name":"","type":"address"}]}]
Contract Creation Code
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Constructor Arguments (ABI-Encoded and is the last bytes of the Contract Creation Code above)
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
-----Decoded View---------------
Arg [0] : _borrowed_token (address): 0xf939E0A03FB07F59A73314E73794Be0E57ac1b4E
Arg [1] : _borrowed_precision (uint256): 1
Arg [2] : _collateral_token (address): 0x7f39C581F595B53c5cb19bD0b3f8dA6c935E2Ca0
Arg [3] : _collateral_precision (uint256): 1
Arg [4] : _A (uint256): 100
Arg [5] : _sqrt_band_ratio (uint256): 1005037815259212075
Arg [6] : _log_A_ratio (int256): 10050335853501431
Arg [7] : _base_price (uint256): 2065718062093376140965
Arg [8] : fee (uint256): 6000000000000000
Arg [9] : admin_fee (uint256): 0
Arg [10] : _price_oracle_contract (address): 0xc1793A29609ffFF81f10139fa0A7A444c9e106Ad
-----Encoded View---------------
11 Constructor Arguments found :
Arg [0] : 000000000000000000000000f939e0a03fb07f59a73314e73794be0e57ac1b4e
Arg [1] : 0000000000000000000000000000000000000000000000000000000000000001
Arg [2] : 0000000000000000000000007f39c581f595b53c5cb19bd0b3f8da6c935e2ca0
Arg [3] : 0000000000000000000000000000000000000000000000000000000000000001
Arg [4] : 0000000000000000000000000000000000000000000000000000000000000064
Arg [5] : 0000000000000000000000000000000000000000000000000df29c916c5c292b
Arg [6] : 0000000000000000000000000000000000000000000000000023b4ba2a6bdbf7
Arg [7] : 00000000000000000000000000000000000000000000006ffb98d0d49fffb6a5
Arg [8] : 000000000000000000000000000000000000000000000000001550f7dca70000
Arg [9] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [10] : 000000000000000000000000c1793a29609ffff81f10139fa0a7a444c9e106ad
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Multichain Portfolio | 30 Chains
Chain | Token | Portfolio % | Price | Amount | Value |
---|---|---|---|---|---|
ETH | 100.00% | $3,784.37 | 6,695.9707 | $25,340,030.65 |
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A contract address hosts a smart contract, which is a set of code stored on the blockchain that runs when predetermined conditions are met. Learn more about addresses in our Knowledge Base.