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Curve Router NG

The CurveRouterNG is used to perform token exchanges. It can swap up to five tokens in a single transaction.

Additionally, the contract provides functions to calculate input and output amounts with get_dy and get_dx.

Contract Source & Deployment

The CurveRouterNG contract has been deployed on most chains where Curve liquidity pools exist. For a full list of all deployments, see here.

Source code for the contract can be found on GitHub.

The contract utilizes interfaces for all relevant Curve pools, such as StableSwap, CryptoSwap, LLAMMA, and others, to execute swaps.

Interfaces
interface StablePool:
    def exchange(i: int128, j: int128, dx: uint256, min_dy: uint256): payable
    def exchange_underlying(i: int128, j: int128, dx: uint256, min_dy: uint256): payable
    def get_dy(i: int128, j: int128, amount: uint256) -> uint256: view
    def get_dy_underlying(i: int128, j: int128, amount: uint256) -> uint256: view
    def coins(i: uint256) -> address: view
    def calc_withdraw_one_coin(token_amount: uint256, i: int128) -> uint256: view
    def remove_liquidity_one_coin(token_amount: uint256, i: int128, min_amount: uint256): nonpayable

interface CryptoPool:
    def exchange(i: uint256, j: uint256, dx: uint256, min_dy: uint256): payable
    def exchange_underlying(i: uint256, j: uint256, dx: uint256, min_dy: uint256): payable
    def get_dy(i: uint256, j: uint256, amount: uint256) -> uint256: view
    def get_dy_underlying(i: uint256, j: uint256, amount: uint256) -> uint256: view
    def calc_withdraw_one_coin(token_amount: uint256, i: uint256) -> uint256: view
    def remove_liquidity_one_coin(token_amount: uint256, i: uint256, min_amount: uint256): nonpayable

interface CryptoPoolETH:
    def exchange(i: uint256, j: uint256, dx: uint256, min_dy: uint256, use_eth: bool): payable

interface LendingBasePoolMetaZap:
    def exchange_underlying(pool: address, i: int128, j: int128, dx: uint256, min_dy: uint256): nonpayable

interface CryptoMetaZap:
    def get_dy(pool: address, i: uint256, j: uint256, dx: uint256) -> uint256: view
    def exchange(pool: address, i: uint256, j: uint256, dx: uint256, min_dy: uint256, use_eth: bool): payable

interface StablePool2Coins:
    def add_liquidity(amounts: uint256[2], min_mint_amount: uint256): payable
    def calc_token_amount(amounts: uint256[2], is_deposit: bool) -> uint256: view

interface CryptoPool2Coins:
    def calc_token_amount(amounts: uint256[2]) -> uint256: view

interface StablePool3Coins:
    def add_liquidity(amounts: uint256[3], min_mint_amount: uint256): payable
    def calc_token_amount(amounts: uint256[3], is_deposit: bool) -> uint256: view

interface CryptoPool3Coins:
    def calc_token_amount(amounts: uint256[3]) -> uint256: view

interface StablePool4Coins:
    def add_liquidity(amounts: uint256[4], min_mint_amount: uint256): payable
    def calc_token_amount(amounts: uint256[4], is_deposit: bool) -> uint256: view

interface CryptoPool4Coins:
    def calc_token_amount(amounts: uint256[4]) -> uint256: view

interface StablePool5Coins:
    def add_liquidity(amounts: uint256[5], min_mint_amount: uint256): payable
    def calc_token_amount(amounts: uint256[5], is_deposit: bool) -> uint256: view

interface CryptoPool5Coins:
    def calc_token_amount(amounts: uint256[5]) -> uint256: view

interface LendingStablePool3Coins:
    def add_liquidity(amounts: uint256[3], min_mint_amount: uint256, use_underlying: bool): payable
    def remove_liquidity_one_coin(token_amount: uint256, i: int128, min_amount: uint256, use_underlying: bool) -> uint256: nonpayable

interface Llamma:
    def get_dx(i: uint256, j: uint256, out_amount: uint256) -> uint256: view

interface WETH:
    def deposit(): payable
    def withdraw(_amount: uint256): nonpayable

interface stETH:
    def submit(_refferer: address): payable

interface frxETHMinter:
    def submit(): payable

interface wstETH:
    def getWstETHByStETH(_stETHAmount: uint256) -> uint256: view
    def getStETHByWstETH(_wstETHAmount: uint256) -> uint256: view
    def wrap(_stETHAmount: uint256) -> uint256: nonpayable
    def unwrap(_wstETHAmount: uint256) -> uint256: nonpayable

interface sfrxETH:
    def convertToShares(assets: uint256) -> uint256: view
    def convertToAssets(shares: uint256) -> uint256: view
    def deposit(assets: uint256, receiver: address) -> uint256: nonpayable
    def redeem(shares: uint256, receiver: address, owner: address) -> uint256: nonpayable

interface wBETH:
    def deposit(referral: address): payable
    def exchangeRate() -> uint256: view

# SNX
interface SnxCoin:
    def currencyKey() -> bytes32: nonpayable

interface Synthetix:
    def exchangeAtomically(sourceCurrencyKey: bytes32, sourceAmount: uint256, destinationCurrencyKey: bytes32, trackingCode: bytes32, minAmount: uint256) -> uint256: nonpayable

interface SynthetixExchanger:
    def getAmountsForAtomicExchange(sourceAmount: uint256, sourceCurrencyKey: bytes32, destinationCurrencyKey: bytes32) -> AtomicAmountAndFee: view

interface SynthetixAddressResolver:
    def getAddress(name: bytes32) -> address: view

# Calc zaps
interface StableCalc:
    def calc_token_amount(pool: address, token: address, amounts: uint256[10], n_coins: uint256, deposit: bool, use_underlying: bool) -> uint256: view
    def get_dx(pool: address, i: int128, j: int128, dy: uint256, n_coins: uint256) -> uint256: view
    def get_dx_underlying(pool: address, i: int128, j: int128, dy: uint256, n_coins: uint256) -> uint256: view
    def get_dx_meta(pool: address, i: int128, j: int128, dy: uint256, n_coins: uint256, base_pool: address) -> uint256: view
    def get_dx_meta_underlying(pool: address, i: int128, j: int128, dy: uint256, n_coins: uint256, base_pool: address, base_token: address) -> uint256: view

interface CryptoCalc:
    def get_dx(pool: address, i: uint256, j: uint256, dy: uint256, n_coins: uint256) -> uint256: view
    def get_dx_meta_underlying(pool: address, i: uint256, j: uint256, dy: uint256, n_coins: uint256, base_pool: address, base_token: address) -> uint256: view


struct AtomicAmountAndFee:
    amountReceived: uint256
    fee: uint256
    exchangeFeeRate: uint256

Route and Swap Parameters¶

The two most curcial input values when using the CurveRouter are _route, which determines the route of the exchange and _swap_params, which includes swap parameters such as input and output token, swap type, pool type and number of coins in the pool.

_route¶

The route input is an array of up to 11 addresses. When calling the function, the array must always include 11 addresses. Unused spots in the array need to be filled with ZERO_ADDRESS. The route consists of tokens and pools or zaps. The first address is always the input token, the last one always the output token. The addresses inbetween compose the route the user wants to trade.

[
    '0xc02aaa39b223fe8d0a0e5c4f27ead9083c756cc2',   # initial token: wETH
    '0x7f86bf177dd4f3494b841a37e810a34dd56c829b',   # pool1: TricryptoUSDC (USDC, wBTC, wETH)
    '0xa0b86991c6218b36c1d19d4a2e9eb0ce3606eb48',   # token in between: USDC
    '0x4dece678ceceb27446b35c672dc7d61f30bad69e',   # pool2: crvUSD/USDC
    '0xf939e0a03fb07f59a73314e73794be0e57ac1b4e',   # output token: crvUSD
    '0x0000000000000000000000000000000000000000',
    '0x0000000000000000000000000000000000000000',
    '0x0000000000000000000000000000000000000000',
    '0x0000000000000000000000000000000000000000',
    '0x0000000000000000000000000000000000000000',
    '0x0000000000000000000000000000000000000000',
]

The example demonstrates a swap of wETH for crvUSD. The process involves two stages. First, wETH is swapped for USDC using the tricryptoUSDC pool. Subsequently, USDC is exchanged for crvUSD using the crvUSD/USDC pool.


_swap_params¶

Swap parameters are defined in a multidimensional array which provides essential information about which tokens to swap using a specified pool.

The array structure includes the following elements: [i, j, swap_type, pool_type, n_coins]. The first array of this multidimensional setup corresponds to the initial token exchange in the swap sequence.

i: Index of the input token, fetched from pool.coins('token address').

j: Index of the output token, fetched from pool.coins('token address').

swap_type Description
1 Standard token exchange
2 Underlying token exchange_underlying
3 Underlying exchange via zap for factory stable metapools and crypto-meta pools (exchange_underlying for stable, exchange in zap for crypto)
4 Coin to LP token "exchange" (effectively add_liquidity)
5 Lending pool underlying coin to LP token "exchange" (effectively add_liquidity)
6 LP token to coin "exchange" (effectively remove_liquidity_one_coin)
7 LP token to lending or fake pool underlying coin "exchange" (effectively remove_liquidity_one_coin)
8 Specialized swaps like ETH <-> WETH, ETH -> stETH or frxETH, and cross-liquidity between staked tokens (e.g., stETH <-> wstETH, frxETH <-> sfrxETH)
9 SNX-related swaps (e.g., sUSD, sEUR, sETH, sBTC)
pool_type Description
1 Stable pools using the Stableswap algorithm
2 Two-coin Crypto pools using the Cryptoswap algorithm
3 Tricrypto pools with three coins using the Cryptoswap algorithm
4 Llamma pools, typically used in crvUSD and lending markets

n_coins: Number of coins contained within the pool.

[
    [2, 0, 1, 3, 3],    # first swap:  wETH -> USDC using tricryptoUSDC pool
    [0, 1, 1, 1, 2],    # second swap: USDC -> crvUSD using crvUSD/USDC pool
    [0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0],
]

Let's take a closer look at the first array, which represents the swap parameters for the first exchange (wETH -> USDC). i = 2 because the coin index value of wETH in the tricryptoUSDC pool is 2. This can be obtained by calling tricryptoUSDC.coins(n). Similarly, j = 0 because USDC has the coin index value of 0. The swap type is a regular exchange, represented by 0. The pool_type is 3, as it is a tricrypto pool (a cryptoswap algorithm consisting of three coins: USDC, wBTC, and wETH). The last value in the array represents the number of coins in the pool, which is 3.

The values of the second array should be set according to the crvUSD/USDC pool.


Exchanging Tokens¶

The router has a single exchange function, which allows up to 5 swaps in a single transaction.

Routing and swap parameters need to be determined off-chain. The exchange functionality of the router is designed for gas efficiency over ease-of-use. An accompanying JavaScript library can be found on GitHub, which is used in the Curve UI to determine route and swap parameters.

exchange¶

Router.exchange(_route: address[11], _swap_params: uint256[5][5], _amount: uint256, _expected: uint256, _pools: address[5] = empty(address[5]), _receiver: address = msg.sender) -> uint256:

Function to perform a token exchange with up to 5 swaps in a single transaction.

Returns: received amount of the final output token (uint256).

Input Type Description
_route address[11] Route data: see here
_swap_params uint256[5][5] Swap parameters: see here
_amount uint256 The amount of the input token (_route[0]) to be sent.
_expected uint256 The minimum amount received after the final swap.
_pools address[5] Array of pools for swaps via zap contracts. This parameter is only needed for swap_type = 3.
receiver address Address to transfer the final output token to. Defaults to msg.sender.
Source code
event Exchange:
    sender: indexed(address)
    receiver: indexed(address)
    route: address[11]
    swap_params: uint256[5][5]
    pools: address[5]
    in_amount: uint256
    out_amount: uint256

ETH_ADDRESS: constant(address) = 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE
STETH_ADDRESS: constant(address) = 0xae7ab96520DE3A18E5e111B5EaAb095312D7fE84
WSTETH_ADDRESS: constant(address) = 0x7f39C581F595B53c5cb19bD0b3f8dA6c935E2Ca0
FRXETH_ADDRESS: constant(address) = 0x5E8422345238F34275888049021821E8E08CAa1f
SFRXETH_ADDRESS: constant(address) = 0xac3E018457B222d93114458476f3E3416Abbe38F
WBETH_ADDRESS: constant(address) = 0xa2E3356610840701BDf5611a53974510Ae27E2e1
WETH_ADDRESS: immutable(address)

# SNX
# https://github.com/Synthetixio/synthetix-docs/blob/master/content/addresses.md
SNX_ADDRESS_RESOLVER: constant(address) = 0x823bE81bbF96BEc0e25CA13170F5AaCb5B79ba83
SNX_TRACKING_CODE: constant(bytes32) = 0x4355525645000000000000000000000000000000000000000000000000000000  # CURVE
SNX_EXCHANGER_NAME: constant(bytes32) = 0x45786368616E6765720000000000000000000000000000000000000000000000  # Exchanger
snx_currency_keys: HashMap[address, bytes32]

@external
@payable
@nonreentrant('lock')
def exchange(
    _route: address[11],
    _swap_params: uint256[5][5],
    _amount: uint256,
    _expected: uint256,
    _pools: address[5]=empty(address[5]),
    _receiver: address=msg.sender
) -> uint256:
    """
    @notice Performs up to 5 swaps in a single transaction.
    @dev Routing and swap params must be determined off-chain. This
        functionality is designed for gas efficiency over ease-of-use.
    @param _route Array of [initial token, pool or zap, token, pool or zap, token, ...]
                The array is iterated until a pool address of 0x00, then the last
                given token is transferred to `_receiver`
    @param _swap_params Multidimensional array of [i, j, swap type, pool_type, n_coins] where
                        i is the index of input token
                        j is the index of output token

                        The swap_type should be:
                        1. for `exchange`,
                        2. for `exchange_underlying`,
                        3. for underlying exchange via zap: factory stable metapools with lending base pool `exchange_underlying`
                        and factory crypto-meta pools underlying exchange (`exchange` method in zap)
                        4. for coin -> LP token "exchange" (actually `add_liquidity`),
                        5. for lending pool underlying coin -> LP token "exchange" (actually `add_liquidity`),
                        6. for LP token -> coin "exchange" (actually `remove_liquidity_one_coin`)
                        7. for LP token -> lending or fake pool underlying coin "exchange" (actually `remove_liquidity_one_coin`)
                        8. for ETH <-> WETH, ETH -> stETH or ETH -> frxETH, stETH <-> wstETH, frxETH <-> sfrxETH, ETH -> wBETH
                        9. for SNX swaps (sUSD, sEUR, sETH, sBTC)

                        pool_type: 1 - stable, 2 - crypto, 3 - tricrypto, 4 - llamma
                        n_coins is the number of coins in pool
    @param _amount The amount of input token (`_route[0]`) to be sent.
    @param _expected The minimum amount received after the final swap.
    @param _pools Array of pools for swaps via zap contracts. This parameter is only needed for swap_type = 3.
    @param _receiver Address to transfer the final output token to.
    @return Received amount of the final output token.
    """
    input_token: address = _route[0]
    output_token: address = empty(address)
    amount: uint256 = _amount

    # validate / transfer initial token
    if input_token == ETH_ADDRESS:
        assert msg.value == amount
    else:
        assert msg.value == 0
        assert ERC20(input_token).transferFrom(msg.sender, self, amount, default_return_value=True)

    for i in range(1, 6):
        # 5 rounds of iteration to perform up to 5 swaps
        swap: address = _route[i*2-1]
        pool: address = _pools[i-1] # Only for Polygon meta-factories underlying swap (swap_type == 6)
        output_token = _route[i*2]
        params: uint256[5] = _swap_params[i-1]  # i, j, swap_type, pool_type, n_coins

        if not self.is_approved[input_token][swap]:
            assert ERC20(input_token).approve(swap, max_value(uint256), default_return_value=True, skip_contract_check=True)
            self.is_approved[input_token][swap] = True

        eth_amount: uint256 = 0
        if input_token == ETH_ADDRESS:
            eth_amount = amount
        # perform the swap according to the swap type
        if params[2] == 1:
            if params[3] == 1:  # stable
                StablePool(swap).exchange(convert(params[0], int128), convert(params[1], int128), amount, 0, value=eth_amount)
            else:  # crypto, tricrypto or llamma
                if input_token == ETH_ADDRESS or output_token == ETH_ADDRESS:
                    CryptoPoolETH(swap).exchange(params[0], params[1], amount, 0, True, value=eth_amount)
                else:
                    CryptoPool(swap).exchange(params[0], params[1], amount, 0)
        elif params[2] == 2:
            if params[3] == 1:  # stable
                StablePool(swap).exchange_underlying(convert(params[0], int128), convert(params[1], int128), amount, 0, value=eth_amount)
            else:  # crypto or tricrypto
                CryptoPool(swap).exchange_underlying(params[0], params[1], amount, 0, value=eth_amount)
        elif params[2] == 3:  # SWAP IS ZAP HERE !!!
            if params[3] == 1:  # stable
                LendingBasePoolMetaZap(swap).exchange_underlying(pool, convert(params[0], int128), convert(params[1], int128), amount, 0)
            else:  # crypto or tricrypto
                use_eth: bool = input_token == ETH_ADDRESS or output_token == ETH_ADDRESS
                CryptoMetaZap(swap).exchange(pool, params[0], params[1], amount, 0, use_eth, value=eth_amount)
        elif params[2] == 4:
            if params[4] == 2:
                amounts: uint256[2] = [0, 0]
                amounts[params[0]] = amount
                StablePool2Coins(swap).add_liquidity(amounts, 0, value=eth_amount)
            elif params[4] == 3:
                amounts: uint256[3] = [0, 0, 0]
                amounts[params[0]] = amount
                StablePool3Coins(swap).add_liquidity(amounts, 0, value=eth_amount)
            elif params[4] == 4:
                amounts: uint256[4] = [0, 0, 0, 0]
                amounts[params[0]] = amount
                StablePool4Coins(swap).add_liquidity(amounts, 0, value=eth_amount)
            elif params[4] == 5:
                amounts: uint256[5] = [0, 0, 0, 0, 0]
                amounts[params[0]] = amount
                StablePool5Coins(swap).add_liquidity(amounts, 0, value=eth_amount)
        elif params[2] == 5:
            amounts: uint256[3] = [0, 0, 0]
            amounts[params[0]] = amount
            LendingStablePool3Coins(swap).add_liquidity(amounts, 0, True, value=eth_amount) # example: aave on Polygon
        elif params[2] == 6:
            if params[3] == 1:  # stable
                StablePool(swap).remove_liquidity_one_coin(amount, convert(params[1], int128), 0)
            else:  # crypto or tricrypto
                CryptoPool(swap).remove_liquidity_one_coin(amount, params[1], 0)  # example: atricrypto3 on Polygon
        elif params[2] == 7:
            LendingStablePool3Coins(swap).remove_liquidity_one_coin(amount, convert(params[1], int128), 0, True) # example: aave on Polygon
        elif params[2] == 8:
            if input_token == ETH_ADDRESS and output_token == WETH_ADDRESS:
                WETH(swap).deposit(value=amount)
            elif input_token == WETH_ADDRESS and output_token == ETH_ADDRESS:
                WETH(swap).withdraw(amount)
            elif input_token == ETH_ADDRESS and output_token == STETH_ADDRESS:
                stETH(swap).submit(0x0000000000000000000000000000000000000000, value=amount)
            elif input_token == ETH_ADDRESS and output_token == FRXETH_ADDRESS:
                frxETHMinter(swap).submit(value=amount)
            elif input_token == STETH_ADDRESS and output_token == WSTETH_ADDRESS:
                wstETH(swap).wrap(amount)
            elif input_token == WSTETH_ADDRESS and output_token == STETH_ADDRESS:
                wstETH(swap).unwrap(amount)
            elif input_token == FRXETH_ADDRESS and output_token == SFRXETH_ADDRESS:
                sfrxETH(swap).deposit(amount, self)
            elif input_token == SFRXETH_ADDRESS and output_token == FRXETH_ADDRESS:
                sfrxETH(swap).redeem(amount, self, self)
            elif input_token == ETH_ADDRESS and output_token == WBETH_ADDRESS:
                wBETH(swap).deposit(0xeCb456EA5365865EbAb8a2661B0c503410e9B347, value=amount)
            else:
                raise "Swap type 8 is only for ETH <-> WETH, ETH -> stETH or ETH -> frxETH, stETH <-> wstETH, frxETH <-> sfrxETH, ETH -> wBETH"
        elif params[2] == 9:
            Synthetix(swap).exchangeAtomically(self.snx_currency_keys[input_token], amount, self.snx_currency_keys[output_token], SNX_TRACKING_CODE, 0)
        else:
            raise "Bad swap type"

        # update the amount received
        if output_token == ETH_ADDRESS:
            amount = self.balance
        else:
            amount = ERC20(output_token).balanceOf(self)

        # sanity check, if the routing data is incorrect we will have a 0 balance and that is bad
        assert amount != 0, "Received nothing"

        # check if this was the last swap
        if i == 5 or _route[i*2+1] == empty(address):
            break
        # if there is another swap, the output token becomes the input for the next round
        input_token = output_token

    amount -= 1  # Change non-zero -> non-zero costs less gas than zero -> non-zero
    assert amount >= _expected, "Slippage"

    # transfer the final token to the receiver
    if output_token == ETH_ADDRESS:
        raw_call(_receiver, b"", value=amount)
    else:
        assert ERC20(output_token).transfer(_receiver, amount, default_return_value=True)

    log Exchange(msg.sender, _receiver, _route, _swap_params, _pools, _amount, amount)

    return amount
>>> Router.get_dy([
    '0x34635280737b5BFe6c7DC2FC3065D60d66e78185'    # cvxPRISMA
    '0x3b21C2868B6028CfB38Ff86127eF22E68d16d53B'    # cvxPRISMA/PRISMA pool
    '0xdA47862a83dac0c112BA89c6abC2159b95afd71C'    # PRISMA
    '0x322135Dd9cBAE8Afa84727d9aE1434b5B3EBA44B'    # PRISMA/ETH pool
    '0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE'    # ETH
    '0x0000000000000000000000000000000000000000'
    '0x0000000000000000000000000000000000000000'
    '0x0000000000000000000000000000000000000000'
    '0x0000000000000000000000000000000000000000'
    '0x0000000000000000000000000000000000000000'
    '0x0000000000000000000000000000000000000000'],
    [[1, 0, 1, 1, 2],   # first swap: cvxPRISMA <> PRISMA
    [1, 0, 1, 2, 2],    # second swap: PRISMA <> ETH
    [0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0]],
    2697000000000000000000, # _amount
    0, # _expected
    [0x3b21C2868B6028CfB38Ff86127eF22E68d16d53B,    # cvxPRISMA/PRISMA pool
    0x322135Dd9cBAE8Afa84727d9aE1434b5B3EBA44B,     # PRISMA/ETH pool
    0x0000000000000000000000000000000000000000,
    0x0000000000000000000000000000000000000000,
    0x0000000000000000000000000000000000000000])

393335776549796040  # final output

Helper Functions¶

There are two function to estimate input and output token amounts:

  • get_dy to estimate the amount of output tokens when exchanging a certain amount of input token
  • get_dx to estimate the amount of input tokens when exchanging for a certain amount of output tokens

get_dy¶

Router.get_dy(_route: address[11], _swap_params: uint256[5][5], _amount: uint256, _pools: address[5] = empty(address[5])) -> uint256:

Jupyter Notebook

An easy-to-follow Jupyter Notebook with some examples on how get_dy can be used can be found here: https://try.vyperlang.org/hub/user-redirect/lab/tree/shared/mo-anon/integratooors/curve-router/get_dy.ipynb

Function to calculate the amount of final output tokens received when performing an exchange.

Returns: expected amount of final output token (uint256).

Input Type Description
_route address[11] Route data: see here
_swap_params uint256[5][5] Swap parameters: see here
_amount uint256 The amount of input token (_route[0]) to be sent.
_pools address[5] Array of pools for swaps via zap contracts. This parameter defaults to an empty array and is only needed for swap_type = 3.
Source code
event Exchange:
    sender: indexed(address)
    receiver: indexed(address)
    route: address[11]
    swap_params: uint256[5][5]
    pools: address[5]
    in_amount: uint256
    out_amount: uint256

ETH_ADDRESS: constant(address) = 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE
STETH_ADDRESS: constant(address) = 0xae7ab96520DE3A18E5e111B5EaAb095312D7fE84
WSTETH_ADDRESS: constant(address) = 0x7f39C581F595B53c5cb19bD0b3f8dA6c935E2Ca0
FRXETH_ADDRESS: constant(address) = 0x5E8422345238F34275888049021821E8E08CAa1f
SFRXETH_ADDRESS: constant(address) = 0xac3E018457B222d93114458476f3E3416Abbe38F
WBETH_ADDRESS: constant(address) = 0xa2E3356610840701BDf5611a53974510Ae27E2e1
WETH_ADDRESS: immutable(address)

# SNX
# https://github.com/Synthetixio/synthetix-docs/blob/master/content/addresses.md
SNX_ADDRESS_RESOLVER: constant(address) = 0x823bE81bbF96BEc0e25CA13170F5AaCb5B79ba83
SNX_TRACKING_CODE: constant(bytes32) = 0x4355525645000000000000000000000000000000000000000000000000000000  # CURVE
SNX_EXCHANGER_NAME: constant(bytes32) = 0x45786368616E6765720000000000000000000000000000000000000000000000  # Exchanger
snx_currency_keys: HashMap[address, bytes32]

@view
@external
def get_dy(
    _route: address[11],
    _swap_params: uint256[5][5],
    _amount: uint256,
    _pools: address[5]=empty(address[5])
) -> uint256:
    """
    @notice Get amount of the final output token received in an exchange
    @dev Routing and swap params must be determined off-chain. This
        functionality is designed for gas efficiency over ease-of-use.
    @param _route Array of [initial token, pool or zap, token, pool or zap, token, ...]
                The array is iterated until a pool address of 0x00, then the last
                given token is transferred to `_receiver`
    @param _swap_params Multidimensional array of [i, j, swap type, pool_type, n_coins] where
                        i is the index of input token
                        j is the index of output token

                        The swap_type should be:
                        1. for `exchange`,
                        2. for `exchange_underlying`,
                        3. for underlying exchange via zap: factory stable metapools with lending base pool `exchange_underlying`
                        and factory crypto-meta pools underlying exchange (`exchange` method in zap)
                        4. for coin -> LP token "exchange" (actually `add_liquidity`),
                        5. for lending pool underlying coin -> LP token "exchange" (actually `add_liquidity`),
                        6. for LP token -> coin "exchange" (actually `remove_liquidity_one_coin`)
                        7. for LP token -> lending or fake pool underlying coin "exchange" (actually `remove_liquidity_one_coin`)
                        8. for ETH <-> WETH, ETH -> stETH or ETH -> frxETH, stETH <-> wstETH, frxETH <-> sfrxETH, ETH -> wBETH
                        9. for SNX swaps (sUSD, sEUR, sETH, sBTC)

                        pool_type: 1 - stable, 2 - crypto, 3 - tricrypto, 4 - llamma
                        n_coins is the number of coins in pool
    @param _amount The amount of input token (`_route[0]`) to be sent.
    @param _pools Array of pools for swaps via zap contracts. This parameter is needed only for swap_type = 3.
    @return Expected amount of the final output token.
    """
    input_token: address = _route[0]
    output_token: address = empty(address)
    amount: uint256 = _amount

    for i in range(1, 6):
        # 5 rounds of iteration to perform up to 5 swaps
        swap: address = _route[i*2-1]
        pool: address = _pools[i-1] # Only for Polygon meta-factories underlying swap (swap_type == 4)
        output_token = _route[i * 2]
        params: uint256[5] = _swap_params[i-1]  # i, j, swap_type, pool_type, n_coins

        # Calc output amount according to the swap type
        if params[2] == 1:
            if params[3] == 1:  # stable
                amount = StablePool(swap).get_dy(convert(params[0], int128), convert(params[1], int128), amount)
            else:  # crypto or llamma
                amount = CryptoPool(swap).get_dy(params[0], params[1], amount)
        elif params[2] == 2:
            if params[3] == 1:  # stable
                amount = StablePool(swap).get_dy_underlying(convert(params[0], int128), convert(params[1], int128), amount)
            else:  # crypto
                amount = CryptoPool(swap).get_dy_underlying(params[0], params[1], amount)
        elif params[2] == 3:  # SWAP IS ZAP HERE !!!
            if params[3] == 1:  # stable
                amount = StablePool(pool).get_dy_underlying(convert(params[0], int128), convert(params[1], int128), amount)
            else:  # crypto
                amount = CryptoMetaZap(swap).get_dy(pool, params[0], params[1], amount)
        elif params[2] in [4, 5]:
            if params[3] == 1: # stable
                amounts: uint256[10] = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
                amounts[params[0]] = amount
                amount = STABLE_CALC.calc_token_amount(swap, output_token, amounts, params[4], True, True)
            else:
                # Tricrypto pools have stablepool interface for calc_token_amount
                if params[4] == 2:
                    amounts: uint256[2] = [0, 0]
                    amounts[params[0]] = amount
                    if params[3] == 2:  # crypto
                        amount = CryptoPool2Coins(swap).calc_token_amount(amounts)
                    else:  # tricrypto
                        amount = StablePool2Coins(swap).calc_token_amount(amounts, True)
                elif params[4] == 3:
                    amounts: uint256[3] = [0, 0, 0]
                    amounts[params[0]] = amount
                    if params[3] == 2:  # crypto
                        amount = CryptoPool3Coins(swap).calc_token_amount(amounts)
                    else:  # tricrypto
                        amount = StablePool3Coins(swap).calc_token_amount(amounts, True)
                elif params[4] == 4:
                    amounts: uint256[4] = [0, 0, 0, 0]
                    amounts[params[0]] = amount
                    if params[3] == 2:  # crypto
                        amount = CryptoPool4Coins(swap).calc_token_amount(amounts)
                    else:  # tricrypto
                        amount = StablePool4Coins(swap).calc_token_amount(amounts, True)
                elif params[4] == 5:
                    amounts: uint256[5] = [0, 0, 0, 0, 0]
                    amounts[params[0]] = amount
                    if params[3] == 2:  # crypto
                        amount = CryptoPool5Coins(swap).calc_token_amount(amounts)
                    else:  # tricrypto
                        amount = StablePool5Coins(swap).calc_token_amount(amounts, True)
        elif params[2] in [6, 7]:
            if params[3] == 1:  # stable
                amount = StablePool(swap).calc_withdraw_one_coin(amount, convert(params[1], int128))
            else:  # crypto
                amount = CryptoPool(swap).calc_withdraw_one_coin(amount, params[1])
        elif params[2] == 8:
            if input_token == WETH_ADDRESS or output_token == WETH_ADDRESS or \
                    (input_token == ETH_ADDRESS and output_token == STETH_ADDRESS) or \
                    (input_token == ETH_ADDRESS and output_token == FRXETH_ADDRESS):
                # ETH <--> WETH rate is 1:1
                # ETH ---> stETH rate is 1:1
                # ETH ---> frxETH rate is 1:1
                pass
            elif input_token == WSTETH_ADDRESS:
                amount = wstETH(swap).getStETHByWstETH(amount)
            elif output_token == WSTETH_ADDRESS:
                amount = wstETH(swap).getWstETHByStETH(amount)
            elif input_token == SFRXETH_ADDRESS:
                amount = sfrxETH(swap).convertToAssets(amount)
            elif output_token == SFRXETH_ADDRESS:
                amount = sfrxETH(swap).convertToShares(amount)
            elif output_token == WBETH_ADDRESS:
                amount = amount * 10**18 / wBETH(swap).exchangeRate()
            else:
                raise "Swap type 8 is only for ETH <-> WETH, ETH -> stETH or ETH -> frxETH, stETH <-> wstETH, frxETH <-> sfrxETH, ETH -> wBETH"
        elif params[2] == 9:
            snx_exchanger: address = SynthetixAddressResolver(SNX_ADDRESS_RESOLVER).getAddress(SNX_EXCHANGER_NAME)
            atomic_amount_and_fee: AtomicAmountAndFee = SynthetixExchanger(snx_exchanger).getAmountsForAtomicExchange(
                amount, self.snx_currency_keys[input_token], self.snx_currency_keys[output_token]
            )
            amount = atomic_amount_and_fee.amountReceived
        else:
            raise "Bad swap type"

        # check if this was the last swap
        if i == 5 or _route[i*2+1] == empty(address):
            break
        # if there is another swap, the output token becomes the input for the next round
        input_token = output_token

    return amount - 1
>>> Router.get_dy(
    ['0x34635280737b5BFe6c7DC2FC3065D60d66e78185',  # crxPRISMA
    '0x3b21C2868B6028CfB38Ff86127eF22E68d16d53B',   # cvxPRISMA/PRISMA pool
    '0xdA47862a83dac0c112BA89c6abC2159b95afd71C',   # PRISMA
    '0x322135Dd9cBAE8Afa84727d9aE1434b5B3EBA44B',   # PRISMA/ETH pool
    '0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE',   # ETH
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000'],
    [[1, 0, 1, 1, 2],   # first swap: cvxPRISMA <> PRISMA
    [1, 0, 1, 2, 2],    # second swap: PRISMA <> ETH
    [0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0]],
    100000000000000000000,  # _amount
    ['0x3b21C2868B6028CfB38Ff86127eF22E68d16d53B',  # cvxPRISMA/PRISMA pool
    '0x322135Dd9cBAE8Afa84727d9aE1434b5B3EBA44B',   # PRISMA/ETH pool
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000'])
18597416260226417   # expected output

get_dx¶

Router.get_dx(_route: address[11], _swap_params: uint256[5][5], _out_amount: uint256, _pools: address[5], _base_pools: address[5]=empty(address[5]), _base_tokens: address[5] = empty(address[5])) -> uint256:

Jupyter Notebook

An easy-to-follow Jupyter Notebook with some examples on how get_dx can be used can be found here: https://try.vyperlang.org/hub/user-redirect/lab/tree/shared/mo-anon/integratooors/curve-router/get_dx.ipynb.

Function to calculate the amount of input tokens required to receive the desired amount of output tokens.

Returns: required amount of input token (uint256).

Input Type Description
_route address[11] Route data: see here
_swap_params uint256[5][5] Swap parameters: see here
_out_amount uint256 The desired amount of output coin to receive.
_pools address[5] Array of pools.
_base_pools address[5] Array of base pools (for meta pools). Defaults to an empty array.
_base_tokens address[5] Array of base LP tokens (for meta pools). Should be a zap address for double meta pools. Defaults to an empty array.
Source code
event Exchange:
    sender: indexed(address)
    receiver: indexed(address)
    route: address[11]
    swap_params: uint256[5][5]
    pools: address[5]
    in_amount: uint256
    out_amount: uint256

ETH_ADDRESS: constant(address) = 0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE
STETH_ADDRESS: constant(address) = 0xae7ab96520DE3A18E5e111B5EaAb095312D7fE84
WSTETH_ADDRESS: constant(address) = 0x7f39C581F595B53c5cb19bD0b3f8dA6c935E2Ca0
FRXETH_ADDRESS: constant(address) = 0x5E8422345238F34275888049021821E8E08CAa1f
SFRXETH_ADDRESS: constant(address) = 0xac3E018457B222d93114458476f3E3416Abbe38F
WBETH_ADDRESS: constant(address) = 0xa2E3356610840701BDf5611a53974510Ae27E2e1
WETH_ADDRESS: immutable(address)

# SNX
# https://github.com/Synthetixio/synthetix-docs/blob/master/content/addresses.md
SNX_ADDRESS_RESOLVER: constant(address) = 0x823bE81bbF96BEc0e25CA13170F5AaCb5B79ba83
SNX_TRACKING_CODE: constant(bytes32) = 0x4355525645000000000000000000000000000000000000000000000000000000  # CURVE
SNX_EXCHANGER_NAME: constant(bytes32) = 0x45786368616E6765720000000000000000000000000000000000000000000000  # Exchanger
snx_currency_keys: HashMap[address, bytes32]

@view
@external
def get_dx(
    _route: address[11],
    _swap_params: uint256[5][5],
    _out_amount: uint256,
    _pools: address[5],
    _base_pools: address[5]=empty(address[5]),
    _base_tokens: address[5]=empty(address[5]),
) -> uint256:
    """
    @notice Calculate the input amount required to receive the desired output amount
    @dev Routing and swap params must be determined off-chain. This
        functionality is designed for gas efficiency over ease-of-use.
    @param _route Array of [initial token, pool or zap, token, pool or zap, token, ...]
                The array is iterated until a pool address of 0x00, then the last
                given token is transferred to `_receiver`
    @param _swap_params Multidimensional array of [i, j, swap type, pool_type, n_coins] where
                        i is the index of input token
                        j is the index of output token

                        The swap_type should be:
                        1. for `exchange`,
                        2. for `exchange_underlying`,
                        3. for underlying exchange via zap: factory stable metapools with lending base pool `exchange_underlying`
                        and factory crypto-meta pools underlying exchange (`exchange` method in zap)
                        4. for coin -> LP token "exchange" (actually `add_liquidity`),
                        5. for lending pool underlying coin -> LP token "exchange" (actually `add_liquidity`),
                        6. for LP token -> coin "exchange" (actually `remove_liquidity_one_coin`)
                        7. for LP token -> lending or fake pool underlying coin "exchange" (actually `remove_liquidity_one_coin`)
                        8. for ETH <-> WETH, ETH -> stETH or ETH -> frxETH, stETH <-> wstETH, frxETH <-> sfrxETH, ETH -> wBETH
                        9. for SNX swaps (sUSD, sEUR, sETH, sBTC)

                        pool_type: 1 - stable, 2 - crypto, 3 - tricrypto, 4 - llamma
                        n_coins is the number of coins in pool
    @param _out_amount The desired amount of output coin to receive.
    @param _pools Array of pools.
    @param _base_pools Array of base pools (for meta pools).
    @param _base_tokens Array of base lp tokens (for meta pools). Should be a zap address for double meta pools.
    @return Required amount of input token to send.
    """
    amount: uint256 = _out_amount

    for _i in range(1, 6):
        # 5 rounds of iteration to perform up to 5 swaps
        i: uint256 = 6 - _i
        swap: address = _route[i*2-1]
        if swap == empty(address):
            continue
        input_token: address = _route[(i - 1) * 2]
        output_token: address = _route[i * 2]
        pool: address = _pools[i-1]
        base_pool: address = _base_pools[i-1]
        base_token: address = _base_tokens[i-1]
        params: uint256[5] = _swap_params[i-1]  # i, j, swap_type, pool_type, n_coins
        n_coins: uint256 = params[4]


        # Calc a required input amount according to the swap type
        if params[2] == 1:
            if params[3] == 1:  # stable
                if base_pool == empty(address):  # non-meta
                    amount = STABLE_CALC.get_dx(pool, convert(params[0], int128), convert(params[1], int128), amount, n_coins)
                else:
                    amount = STABLE_CALC.get_dx_meta(pool, convert(params[0], int128), convert(params[1], int128), amount, n_coins, base_pool)
            elif params[3] in [2, 3]:  # crypto or tricrypto
                amount = CRYPTO_CALC.get_dx(pool, params[0], params[1], amount, n_coins)
            else:  # llamma
                amount = Llamma(pool).get_dx(params[0], params[1], amount)
        elif params[2] in [2, 3]:
            if params[3] == 1:  # stable
                if base_pool == empty(address):  # non-meta
                    amount = STABLE_CALC.get_dx_underlying(pool, convert(params[0], int128), convert(params[1], int128), amount, n_coins)
                else:
                    amount = STABLE_CALC.get_dx_meta_underlying(pool, convert(params[0], int128), convert(params[1], int128), amount, n_coins, base_pool, base_token)
            else:  # crypto
                amount = CRYPTO_CALC.get_dx_meta_underlying(pool, params[0], params[1], amount, n_coins, base_pool, base_token)
        elif params[2] in [4, 5]:
            # This is not correct. Should be something like calc_add_one_coin. But tests say that it's precise enough.
            if params[3] == 1:  # stable
                amount = StablePool(swap).calc_withdraw_one_coin(amount, convert(params[0], int128))
            else:  # crypto
                amount = CryptoPool(swap).calc_withdraw_one_coin(amount, params[0])
        elif params[2] in [6, 7]:
            if params[3] == 1: # stable
                amounts: uint256[10] = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
                amounts[params[1]] = amount
                amount = STABLE_CALC.calc_token_amount(swap, input_token, amounts, n_coins, False, True)
            else:
                # Tricrypto pools have stablepool interface for calc_token_amount
                if n_coins == 2:
                    amounts: uint256[2] = [0, 0]
                    amounts[params[1]] = amount
                    if params[3] == 2:  # crypto
                        amount = CryptoPool2Coins(swap).calc_token_amount(amounts)  # This is not correct
                    else:  # tricrypto
                        amount = StablePool2Coins(swap).calc_token_amount(amounts, False)
                elif n_coins == 3:
                    amounts: uint256[3] = [0, 0, 0]
                    amounts[params[1]] = amount
                    if params[3] == 2:  # crypto
                        amount = CryptoPool3Coins(swap).calc_token_amount(amounts)  # This is not correct
                    else:  # tricrypto
                        amount = StablePool3Coins(swap).calc_token_amount(amounts, False)
                elif n_coins == 4:
                    amounts: uint256[4] = [0, 0, 0, 0]
                    amounts[params[1]] = amount
                    if params[3] == 2:  # crypto
                        amount = CryptoPool4Coins(swap).calc_token_amount(amounts)  # This is not correct
                    else:  # tricrypto
                        amount = StablePool4Coins(swap).calc_token_amount(amounts, False)
                elif n_coins == 5:
                    amounts: uint256[5] = [0, 0, 0, 0, 0]
                    amounts[params[1]] = amount
                    if params[3] == 2:  # crypto
                        amount = CryptoPool5Coins(swap).calc_token_amount(amounts)  # This is not correct
                    else:  # tricrypto
                        amount = StablePool5Coins(swap).calc_token_amount(amounts, False)
        elif params[2] == 8:
            if input_token == WETH_ADDRESS or output_token == WETH_ADDRESS or \
                    (input_token == ETH_ADDRESS and output_token == STETH_ADDRESS) or \
                    (input_token == ETH_ADDRESS and output_token == FRXETH_ADDRESS):
                # ETH <--> WETH rate is 1:1
                # ETH ---> stETH rate is 1:1
                # ETH ---> frxETH rate is 1:1
                pass
            elif input_token == WSTETH_ADDRESS:
                amount = wstETH(swap).getWstETHByStETH(amount)
            elif output_token == WSTETH_ADDRESS:
                amount = wstETH(swap).getStETHByWstETH(amount)
            elif input_token == SFRXETH_ADDRESS:
                amount = sfrxETH(swap).convertToShares(amount)
            elif output_token == SFRXETH_ADDRESS:
                amount = sfrxETH(swap).convertToAssets(amount)
            elif output_token == WBETH_ADDRESS:
                amount = amount * wBETH(swap).exchangeRate() / 10**18
            else:
                raise "Swap type 8 is only for ETH <-> WETH, ETH -> stETH or ETH -> frxETH, stETH <-> wstETH, frxETH <-> sfrxETH, ETH -> wBETH"
        elif params[2] == 9:
            snx_exchanger: address = SynthetixAddressResolver(SNX_ADDRESS_RESOLVER).getAddress(SNX_EXCHANGER_NAME)
            atomic_amount_and_fee: AtomicAmountAndFee = SynthetixExchanger(snx_exchanger).getAmountsForAtomicExchange(
                10**18, self.snx_currency_keys[input_token], self.snx_currency_keys[output_token]
            )
            amount = amount * 10**18 / atomic_amount_and_fee.amountReceived
        else:
            raise "Bad swap type"

    return amount
>>> Router.get_dx(
    ['0x34635280737b5BFe6c7DC2FC3065D60d66e78185',  # crxPRISMA
    '0x3b21C2868B6028CfB38Ff86127eF22E68d16d53B',   # cvxPRISMA/PRISMA pool
    '0xdA47862a83dac0c112BA89c6abC2159b95afd71C',   # PRISMA
    '0x322135Dd9cBAE8Afa84727d9aE1434b5B3EBA44B',   # PRISMA/ETH pool
    '0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE',   # ETH
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000'], 
    [[1, 0, 1, 1, 2],   # first swap: cvxPRISMA <> PRISMA
    [1, 0, 1, 2, 2],    # second swap: PRISMA <> ETH
    [0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0]], 
    100000000000000000000,  # _out_amount
    ['0x3b21C2868B6028CfB38Ff86127eF22E68d16d53B',  # cvxPRISMA/PRISMA pool
    '0x322135Dd9cBAE8Afa84727d9aE1434b5B3EBA44B',   # PRISMA/ETH pool
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000', 
    '0x0000000000000000000000000000000000000000'])
18597416260226417 # expected input