Algebra Integral
HomepageSocialsIntegrate
  • Overview / FAQ
    • 💡What is Algebra?
    • 🫂The Algebra Ecosystem
    • 🧑‍🔬Algebra Integral
    • 📚Glossary
    • 🪙Tokenomics
    • 📱Social Media & Links
    • 👨‍🎨Brand Assets
    • Partners
      • Algebra V1.0
        • QuickSwap Polygon
        • ZyberSwap
        • Thena
        • StellaSwap
        • QuickSwap Dogechain
        • SkullSwap
        • UbeSwap
        • Litx
      • Algebra V1.9
        • Camelot
        • Lynex
        • Swapbased
        • Synthswap
        • Zyberswap Optimism
        • Hercules
      • Integral 1.0
        • Swapsicle Telos
        • Swapsicle Mantle
        • Kim
        • Fenix
        • Blade
        • SilverSwap Fantom
        • Horizon
        • Glyph Exchange
        • SilverSwap Sonic
        • SwapX
        • Bulla
      • Integral 1.1
        • Scribe
      • Integral 1.2
        • Fibonacci
        • Voltage
        • Henjin
        • Wasabee
        • Holiverse
        • MorFi
        • StellaSwap
        • QuickSwap Soneium
  • Algebra Integral / Technical Reference
    • ℹ️Intro
    • 🔍Audits
    • 🏗️Integration Process
      • Specification and API of contracts
        • Algebra Pool
        • Algebra Factory
        • Swap Router
        • Nonfungible Position Manager
        • Quoter
        • QuoterV2
        • TickLens
      • Interaction with pools
        • Getting data from pools
      • Subgraphs and analytics
        • Examples of queries
      • Technical Guides
        • Intro
        • Swaps
          • Single swaps
          • Multihop swaps
        • Providing liquidity
          • Setting up your contract
          • Mint a new position
          • Collect fees
          • Decrease liquidity
          • Increase liquidity
          • Final Contract
        • Flashloans
          • Setting up your contract
          • Calling flash
          • Flash callback
          • Final contract
      • Migration from UniswapV3
    • 🖲️Core Logic
      • Pool overview
      • Swap calculation
      • Liquidity and positions
      • Ticks
        • Ticks search tree
      • Reserves
      • Flash
      • Plugins
      • AlgebraFactory and roles
    • 🧩Plugins
      • Overview
      • Adaptive Fee
      • Sliding Fee
      • Whitelist Discount Fee
      • Safety Switch
      • Position Limit Orders
      • Managed Swap Fee
      • FAQ
    • 📖Guides
      • 🔨Plugin Development
      • 🔬Plugin Testing
      • ☄️Plugin Deployment
    • ⬆️Changes V1
    • ⬆️Changes V1.1
    • ⬆️Changes v1.2
  • ⬆️Changes v1.2.1
  • Algebra V1 / Technical Reference
    • 🔏Contracts
      • API Reference v1.0
        • V1.0 - Core
          • AlgebraFactory
          • AlgebraPool
          • AlgebraPoolDeployer
          • DataStorage
          • DataStorageOperator
          • IAlgebraFactory
          • IAlgebraFlashCallback
          • IAlgebraMintCallback
          • IAlgebraPoolActions
          • IAlgebraPoolDeployer
          • IAlgebraPoolDerivedState
          • IAlgebraPoolEvents
          • IAlgebraPoolImmutables
          • IAlgebraPoolPermissionedActions
          • IAlgebraPoolState
          • IAlgebraSwapCallback
          • IAlgebraVirtualPool
          • IDataStorageOperator
          • IERC20Minimal
          • PoolImmutables
          • PoolState
        • V1.0 - Periphery
          • AlgebraInterfaceMulticall
          • ERC20
          • ERC20Permit
          • ERC165
          • ERC721
          • ERC721Permit
          • IAlgebraMintCallback
          • IAlgebraFactory
          • IAlgebraPoolDerivedState
          • IAlgebraPoolActions
          • IAlgebraPoolEvents
          • IAlgebraPoolImmutables
          • IAlgebraPoolPermissionedActions
          • IAlgebraPoolState
          • IAlgebraSwapCallback
          • IERC20
          • IDataStorageOperator
          • IERC20Metadata
          • IERC20Permit
          • IERC20PermitAllowed
          • IERC165
          • IERC721
          • IERC721Enumerable
          • IERC721Metadata
          • IERC721Permit
          • IERC721Receiver
          • IERC1271
          • IMulticall
          • INonfungiblePositionManager
          • INonfungibleTokenPositionDescriptor
          • IPeripheryImmutableState
          • IPeripheryPayments
          • IPeripheryPaymentsWithFee
          • IPoolInitializer
          • IQuoter
          • IQuoterV2
          • ISelfPermit
          • ISwapRouter
          • ITickLens
          • IUniswapV2Pair
          • IV3Migrator
          • IWNativeToken
          • LiquidityManagement
          • Multicall
          • NFTDescriptor
          • NonfungiblePositionManager
          • NonfungibleTokenPositionDescriptor
          • PeripheryImmutableState
          • PeripheryPayments
          • PeripheryPaymentsWithFee
          • PoolInitializer
          • Quoter
          • QuoterV2
          • SwapRouter
          • SelfPermit
          • TickLens
          • V3Migrator
        • V1.0 - Tokenomics
          • AlgebraEternalFarming
          • AlgebraFarming
          • AlgebraIncentiveFarming
          • AlgebraLimitFarming
          • AlgebraTokenStaking
          • AlgebraVault
          • AlgebraVirtualPoolBase
          • ERC20
          • ERC165
          • ERC721
          • ERC721Permit
          • EternalVirtualPool
          • FarmingCenter
          • FarmingCenterVault
          • FreezableToken
          • IAlgebraEternalFarming
          • IAlgebraEternalVirtualPool
          • IAlgebraFactory
          • IAlgebraFarming
          • IAlgebraIncentiveFarming
          • IAlgebraIncentiveVirtualPool
          • IAlgebraLimitFarming
          • IAlgebraLimitVirtualPool
          • IAlgebraPoolActions
          • IAlgebraPoolDeployer
          • IAlgebraPoolDerivedState
          • IAlgebraPoolEvents
          • IAlgebraPoolImmutables
          • IAlgebraPoolPermissionedActions
          • IAlgebraPoolState
          • IAlgebraSwapCallback
          • IAlgebraVirtualPool
          • IAlgebraVirtualPoolBase
          • IDataStorageOperator
          • IERC20
          • IERC20Minimal
          • IERC165
          • IERC721
          • IERC721Enumerable
          • IERC721Metadata
          • IERC721Permit
          • IERC721Receiver
          • IERC1271
          • IFarmingCenter
          • IFarmingCenterVault
          • IMulticall
          • IncentiveVirtualPool
          • INonfungiblePositionManager
          • IPeripheryPayments
          • IPeripheryImmutableState
          • IPoolInitializer
          • ISwapRouter
          • IWNativeToken
          • LimitVirtualPool
          • Multicall
          • PeripheryPayments
      • API Reference v1.9
        • V1.9 - Core
          • AlgebraFactory
          • AlgebraPool
          • AlgebraPoolDeployer
          • DataStorage
          • DataStorageOperator
          • IAlgebraFactory
          • IAlgebraFlashCallback
          • IAlgebraMintCallback
          • IAlgebraPoolActions
          • IAlgebraPoolDeployer
          • IAlgebraPoolDerivedState
          • IAlgebraPoolEvents
          • IAlgebraPoolImmutables
          • IAlgebraPoolPermissionedActions
          • IAlgebraPoolState
          • IAlgebraSwapCallback
          • IAlgebraVirtualPool
          • IDataStorageOperator
          • IERC20Minimal
          • PoolImmutables
          • PoolState
        • V1.9 - Periphery
          • ERC721Permit
          • AlgebraInterfaceMulticall
          • IERC20Metadata
          • IERC20PermitAllowed
          • IERC721Permit
          • IERC1271
          • IMulticall
          • INonfungiblePositionManager
          • INonfungibleTokenPositionDescriptor
          • IPeripheryImmutableState
          • IPeripheryPayments
          • IPeripheryPaymentsWithFee
          • IPoolInitializer
          • IQuoter
          • IQuoterV2
          • ISelfPermit
          • ISwapRouter
          • ITickLens
          • IV3Migrator
          • IWNativeToken
          • LiquidityManagement
          • Multicall
          • NFTDescriptor
          • NonfungiblePositionManager
          • NonfungibleTokenPositionDescriptor
          • PeripheryImmutableState
          • PeripheryPayments
          • PoolInitializer
          • PeripheryPaymentsWithFee
          • Quoter
          • QuoterV2
          • SelfPermit
          • SwapRouter
          • TickLens
          • V3Migrator
        • V1.9 - Tokenomics
          • AlgebraFarming
          • AlgebraEternalFarming
          • AlgebraLimitFarming
          • AlgebraTokenStaking
          • AlgebraVault
          • AlgebraVirtualPoolBase
          • ERC20
          • EternalVirtualPool
          • FarmingCenter
          • FarmingCenterVault
          • FreezableToken
          • IAlgebraEternalFarming
          • IAlgebraEternalVirtualPool
          • IAlgebraFarming
          • IAlgebraLimitFarming
          • IAlgebraLimitVirtualPool
          • IAlgebraVirtualPoolBase
          • IERC20Minimal
          • IFarmingCenter
          • IFarmingCenterVault
          • LimitVirtualPool
          • PeripheryPayments
      • API Reference v1.9 - Directional Fees
        • V1.9 (Directional Fees) - Core
          • AlgebraFactory
          • AlgebraPool
          • AlgebraPoolDeployer
          • DataStorage
          • DataStorageOperator
          • IAlgebraFactory
          • IAlgebraFlashCallback
          • IAlgebraMintCallback
          • IAlgebraPoolActions
          • IAlgebraPoolDeployer
          • IAlgebraPoolDerivedState
          • IAlgebraPoolEvents
          • IAlgebraPoolImmutables
          • IAlgebraPoolPermissionedActions
          • IAlgebraSwapCallback
          • IAlgebraPoolState
          • IAlgebraVirtualPool
          • IDataStorageOperator
          • IERC20Minimal
          • PoolImmutables
          • PoolState
        • V1.9 (Directional Fees) - Periphery
          • AlgebraInterfaceMulticall
          • ERC721Permit
          • IERC20Metadata
          • IERC20PermitAllowed
          • IERC721Permit
          • IERC1271
          • IMulticall
          • INonfungiblePositionManager
          • INonfungibleTokenPositionDescriptor
          • IPeripheryImmutableState
          • IPeripheryPayments
          • IPeripheryPaymentsWithFee
          • IPoolInitializer
          • IQuoter
          • IQuoterV2
          • ISelfPermit
          • ISwapRouter
          • ITickLens
          • IV3Migrator
          • IWNativeToken
          • LiquidityManagement
          • Multicall
          • NFTDescriptor
          • NonfungiblePositionManager
          • NonfungibleTokenPositionDescriptor
          • PeripheryImmutableState
          • PeripheryPayments
          • PeripheryPaymentsWithFee
          • PoolInitializer
          • Quoter
          • QuoterV2
          • SelfPermit
          • SwapRouter
          • TickLens
          • V3Migrator
        • V1.9 (Directional Fees) - Tokenomics
          • AlgebraFarming
          • AlgebraEternalFarming
          • AlgebraLimitFarming
          • AlgebraTokenStaking
          • AlgebraVault
          • AlgebraVirtualPoolBase
          • ERC20
          • EternalVirtualPool
          • FarmingCenter
          • FarmingCenterVault
          • FreezableToken
          • IAlgebraEternalFarming
          • IAlgebraEternalVirtualPool
          • IAlgebraFarming
          • IAlgebraLimitVirtualPool
          • IAlgebraLimitFarming
          • IAlgebraVirtualPoolBase
          • IERC20Minimal
          • IFarmingCenterVault
          • IFarmingCenter
          • LimitVirtualPool
          • PeripheryPayments
      • API Reference v2.0
        • V2.0 - Core
          • AlgebraCommunityVault
          • AlgebraFactory
          • AlgebraFeeConfiguration
          • AlgebraPool
          • AlgebraPoolBase
          • AlgebraPoolDeployer
          • DataStorage
          • DataStorageOperator
          • DerivedState
          • IAlgebraFactory
          • IAlgebraFlashCallback
          • IAlgebraMintCallback
          • IAlgebraPoolActions
          • IAlgebraPoolDeployer
          • IAlgebraPoolDerivedState
          • IAlgebraPoolErrors
          • IAlgebraPoolEvents
          • IAlgebraPoolImmutables
          • IAlgebraPoolPermissionedActions
          • IAlgebraPoolState
          • IAlgebraSwapCallback
          • IAlgebraVirtualPool
          • IDataStorageOperator
          • IERC20Minimal
          • Positions
          • ReservesManager
        • V2.0 - Periphery
          • AlgebraInterfaceMulticall
          • ERC721Permit
          • IERC20Metadata
          • IERC20PermitAllowed
          • IERC721Permit
          • IERC1271
          • ILimitOrderManager
          • IMulticall
          • INonfungiblePositionManager
          • INonfungibleTokenPositionDescriptor
          • IPeripheryImmutableState
          • IPeripheryPayments
          • IPeripheryPaymentsWithFee
          • IPoolInitializer
          • IPositionFollower
          • IQuoter
          • IQuoterV2
          • ISelfPermit
          • ISwapRouter
          • ITickLens
          • IV3Migrator
          • IWNativeToken
          • LimitOrderManagement
          • LimitOrderManager
          • LiquidityManagement
          • Multicall
          • NFTDescriptor
          • NonfungiblePositionManager
          • NonfungibleTokenPositionDescriptor
          • PeripheryImmutableState
          • PeripheryPayments
          • PeripheryPaymentsWithFee
          • PoolInitializer
          • Quoter
          • QuoterV2
          • SelfPermit
          • SwapRouter
          • TickLens
          • V3Migrator
        • V2.0 - Tokenomics
          • AlgebraEternalFarming
          • EternalVirtualPool
          • FarmingCenter
          • IAccessControl
          • IAlgebraEternalFarming
          • IAlgebraEternalVirtualPool
          • IFarmingCenter
          • IncentiveKey
          • VirtualTickStructure
      • API Reference v2.0 - Directional Fees
        • V2.0 (Directional Fees) - Core
          • AlgebraCommunityVault
          • AlgebraFactory
          • AlgebraFeeConfiguration
          • AlgebraPool
          • AlgebraPoolBase
          • AlgebraPoolDeployer
          • DataStorage
          • DataStorageOperator
          • DerivedState
          • IAlgebraFactory
          • IAlgebraFlashCallback
          • IAlgebraMintCallback
          • IAlgebraPoolActions
          • IAlgebraPoolDeployer
          • IAlgebraPoolDerivedState
          • IAlgebraPoolErrors
          • IAlgebraPoolEvents
          • IAlgebraPoolImmutables
          • IAlgebraPoolPermissionedActions
          • IAlgebraPoolState
          • IAlgebraSwapCallback
          • IAlgebraVirtualPool
          • IDataStorageOperator
          • IERC20Minimal
          • Positions
          • ReservesManager
        • V2.0 (Directional Fees) - Periphery
          • AlgebraInterfaceMulticall
          • ERC721Permit
          • IERC20Metadata
          • IERC20PermitAllowed
          • IERC721Permit
          • IERC1271
          • ILimitOrderManager
          • IMulticall
          • INonfungiblePositionManager
          • INonfungibleTokenPositionDescriptor
          • IPeripheryImmutableState
          • IPeripheryPayments
          • IPeripheryPaymentsWithFee
          • IPoolInitializer
          • IPositionFollower
          • IQuoter
          • IQuoterV2
          • ISelfPermit
          • ISwapRouter
          • ITickLens
          • IV3Migrator
          • IWNativeToken
          • LimitOrderManagement
          • LimitOrderManager
          • LiquidityManagement
          • Multicall
          • NFTDescriptor
          • NonfungiblePositionManager
          • NonfungibleTokenPositionDescriptor
          • PeripheryImmutableState
          • PeripheryPayments
          • PeripheryPaymentsWithFee
          • PoolInitializer
          • QuoterV2
          • Quoter
          • SelfPermit
          • SwapRouter
          • TickLens
          • V3Migrator
        • V2.0 (Directional Fees) - Tokenomics
          • AlgebraEternalFarming
          • EternalVirtualPool
          • FarmingCenter
          • IAccessControl
          • IAlgebraEternalFarming
          • IAlgebraEternalVirtualPool
          • IFarmingCenter
          • IncentiveKey
          • VirtualTickStructure
      • Adaptive Fee
        • Adaptive Fee
        • How to set up specific formula behaviour
        • How to tweak formula behaviour
      • Contracts Setup
        • Deployment
          • Contracts Deployment
          • Deployment Scripts
        • Misc
          • POOL_INIT_CODE_HASH
          • Code Audits
          • Deployment Addresses
      • The Algebra Guides
        • Flash Integrations
          • The Full Contract
          • Calling Flash
          • Flash Callback
          • Inheritance constructor
        • Liquidity Mining
          • Liquidity Mining Overview
        • Providing Liquidity
          • Collecting fees
          • Decrease liquidity
          • Increase Liquidity Within The Current Range
          • Mint a new position
          • Set up your contract
          • The full contract
        • Swaps
          • Multihop swaps
          • Single swaps
    • 📊Subgraph
      • Query Examples
        • Query Examples
      • GraphQL Schema
        • Farming GraphQL Schema
        • Algebra GraphQL Schema
      • Subgraph Setup
        • Subgraph Settings
        • Subgraph Deployment
    • 🖥️Frontend
      • Admin Panel
        • Contracts
          • Admin Panel
          • Changing Subgraph
        • Eternal Farmings
          • Create Eternal Farming
          • Managing Eternal Farming
        • Limit Farmings
          • Create Limit Farming
    • ⚙️Backend
      • Backend Setup
    • ⛑️Guides
      • Step by Step Deployment
  • Other
    • 📦Archived Documentation
    • ❗Link Awareness Notice
Powered by GitBook
On this page
  • Functions
  • quoteExactInput
  • quoteExactInputSingle
  • quoteExactOutput
  • quoteExactOutputSingle
  1. Algebra V1 / Technical Reference
  2. Contracts
  3. API Reference v1.9
  4. V1.9 - Periphery

IQuoterV2

QuoterV2 Interface

Supports quoting the calculated amounts from exact input or exact output swaps. For each pool also tells you the number of initialized ticks crossed and the sqrt price of the pool after the swap.

Developer note: These functions are not marked view because they rely on calling non-view functions and reverting to compute the result. They are also not gas efficient and should not be called on-chain. Credit to Uniswap Labs under GPL-2.0-or-later license: https://github.com/Uniswap/v3-periphery

Functions

quoteExactInput

function quoteExactInput(bytes path, uint256 amountIn) external returns (uint256 amountOut, uint160[] sqrtPriceX96AfterList, uint32[] initializedTicksCrossedList, uint256 gasEstimate) external

Returns the amount out received for a given exact input swap without executing the swap

Name
Type
Description

path

bytes

The path of the swap, i.e. each token pair

amountIn

uint256

The amount of the first token to swap

Returns:

Name
Type
Description

amountOut

uint256

The amount of the last token that would be received

sqrtPriceX96AfterList

uint160[]

List of the sqrt price after the swap for each pool in the path

initializedTicksCrossedList

uint32[]

List of the initialized ticks that the swap crossed for each pool in the path

gasEstimate

uint256

The estimate of the gas that the swap consumes

quoteExactInputSingle

function quoteExactInputSingle(struct IQuoterV2.QuoteExactInputSingleParams params) external returns (uint256 amountOut, uint160 sqrtPriceX96After, uint32 initializedTicksCrossed, uint256 gasEstimate) external

Returns the amount out received for a given exact input but for a swap of a single pool

Name
Type
Description

params

struct IQuoterV2.QuoteExactInputSingleParams

The params for the quote, encoded as `QuoteExactInputSingleParams`

tokenIn The token being swapped in

tokenOut The token being swapped out

amountIn The desired input amount

limitSqrtPrice The price limit of the pool that cannot be exceeded by the swap

Returns:

Name
Type
Description

amountOut

uint256

The amount of `tokenOut` that would be received

sqrtPriceX96After

uint160

The sqrt price of the pool after the swap

initializedTicksCrossed

uint32

The number of initialized ticks that the swap crossed

gasEstimate

uint256

The estimate of the gas that the swap consumes

quoteExactOutput

function quoteExactOutput(bytes path, uint256 amountOut) external returns (uint256 amountIn, uint160[] sqrtPriceX96AfterList, uint32[] initializedTicksCrossedList, uint256 gasEstimate) external

Returns the amount in required for a given exact output swap without executing the swap

Name
Type
Description

path

bytes

The path of the swap, i.e. each token pair. Path must be provided in reverse order

amountOut

uint256

The amount of the last token to receive

Returns:

Name
Type
Description

amountIn

uint256

The amount of first token required to be paid

sqrtPriceX96AfterList

uint160[]

List of the sqrt price after the swap for each pool in the path

initializedTicksCrossedList

uint32[]

List of the initialized ticks that the swap crossed for each pool in the path

gasEstimate

uint256

The estimate of the gas that the swap consumes

quoteExactOutputSingle

function quoteExactOutputSingle(struct IQuoterV2.QuoteExactOutputSingleParams params) external returns (uint256 amountIn, uint160 sqrtPriceX96After, uint32 initializedTicksCrossed, uint256 gasEstimate) external

Returns the amount in required to receive the given exact output amount but for a swap of a single pool

Name
Type
Description

params

struct IQuoterV2.QuoteExactOutputSingleParams

The params for the quote, encoded as `QuoteExactOutputSingleParams`

tokenIn The token being swapped in

tokenOut The token being swapped out

amountOut The desired output amount

limitSqrtPrice The price limit of the pool that cannot be exceeded by the swap

Returns:

Name
Type
Description

amountIn

uint256

The amount required as the input for the swap in order to receive `amountOut`

sqrtPriceX96After

uint160

The sqrt price of the pool after the swap

initializedTicksCrossed

uint32

The number of initialized ticks that the swap crossed

gasEstimate

uint256

The estimate of the gas that the swap consumes

PreviousIQuoterNextISelfPermit
🔏