Algebra Integral
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  • Overview / FAQ
    • 💡What is Algebra?
    • 🫂The Algebra Ecosystem
    • 🧑‍🔬Algebra Integral
    • 📚Glossary
    • 🪙Tokenomics
    • 📱Social Media & Links
    • 👨‍🎨Brand Assets
    • Partners
      • Algebra V1.0
        • QuickSwap Polygon
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        • Thena
        • StellaSwap
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        • Litx
      • Algebra V1.9
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        • Fibonacci
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        • 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
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On this page
  • Functions
  • getTimepoints
  • getInnerCumulatives
  1. Algebra V1 / Technical Reference
  2. Contracts
  3. API Reference v1.9
  4. V1.9 - Core

IAlgebraPoolDerivedState

Pool state that is not stored

Contains view functions to provide information about the pool that is computed rather than stored on the blockchain. The functions here may have variable gas costs.

Developer note: Credit to Uniswap Labs under GPL-2.0-or-later license: https://github.com/Uniswap/v3-core/tree/main/contracts/interfaces

Functions

getTimepoints

function getTimepoints(uint32[] secondsAgos) external view returns (int56[] tickCumulatives, uint160[] secondsPerLiquidityCumulatives, uint112[] volatilityCumulatives, uint256[] volumePerAvgLiquiditys) view external

Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp Developer note: To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick, you must call it with secondsAgos = [3600, 0]. The time weighted average tick represents the geometric time weighted average price of the pool, in log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.

Name
Type
Description

secondsAgos

uint32[]

From how long ago each cumulative tick and liquidity value should be returned

Returns:

Name
Type
Description

tickCumulatives

int56[]

Cumulative tick values as of each `secondsAgos` from the current block timestamp

secondsPerLiquidityCumulatives

uint160[]

Cumulative seconds per liquidity-in-range value as of each `secondsAgos`

from the current block timestamp

volatilityCumulatives

uint112[]

Cumulative standard deviation as of each `secondsAgos`

volumePerAvgLiquiditys

uint256[]

Cumulative swap volume per liquidity as of each `secondsAgos`

getInnerCumulatives

function getInnerCumulatives(int24 bottomTick, int24 topTick) external view returns (int56 innerTickCumulative, uint160 innerSecondsSpentPerLiquidity, uint32 innerSecondsSpent) view external

Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range Developer note: Snapshots must only be compared to other snapshots, taken over a period for which a position existed. I.e., snapshots cannot be compared if a position is not held for the entire period between when the first snapshot is taken and the second snapshot is taken.

Name
Type
Description

bottomTick

int24

The lower tick of the range

topTick

int24

The upper tick of the range

Returns:

Name
Type
Description

innerTickCumulative

int56

The snapshot of the tick accumulator for the range

innerSecondsSpentPerLiquidity

uint160

The snapshot of seconds per liquidity for the range

innerSecondsSpent

uint32

The snapshot of the number of seconds during which the price was in this range

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