CLAMM - Concentrated liquidity AMM

https://github.com/Uniswap/v3-core

https://github.com/Uniswap/v3-periphery

Uni V3 pool

ETH / USDC 0.05% pool Arbitrum

0xC31E54c7a869B9FcBEcc14363CF510d1c41fa443

Omit

• Factory

• Price oracle

• Protocol fee

• Flash swap

• NFT

• Solidity advanced math libraries

• Callbacks

• Setup

forge init clamm
forge build
forge fmt

• Constructor

  • constructor
    • Price, tick and tick spacing
    • tickSpacingToMaxLiquidityPerTick

• Initialize

  • initialize
    • slot0
    • sqrtPriceX96
    • getTickAtSqrtRatio, calculate tick from sqrtPriceX96

• Mint

  • mint
    • _modifyPosition
      • _updatePosition
        • position.get
        • positon.update
        • ticks.update, ticks.clear
          • Tick.Info
          • Liquidity, price and token reserves
          • Liquidity net
      • getAmount0Delta and getAmount1Delta
        • Curve of real reserves
        • Reserve 0 and 1
        • Liquidity
        • Liquidity delta

• Burn

  TODO: fix burn 0

  • burn

• Collect

  • collect

• Swap

  • swap
    • one tick
      • computeSwapStep
        • sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromInput
    • multi ticks
      • nextInitializedTickWithInOneWord
        • TickBitMap, tickBitMap.flipTick
      • ticks.cross
        • liquidityNet

• Fees

  • feeGrowthGlobal
  • tick.cross
  • getFeeGrowthInside (burn + collect to earn fees)

• Test

• sqrtPriceX96

• get tick from sqrt price x 96

• get price from sqrt price x 96

• tick bitmap

• getSqrtRatioAtTick

• getTickAtSqrtRatio

• getAmount0Delta, getAmount1Delta

• liquidity delta

• tick, liquidity, price directions and token 0 token 1

• getNextSqrtPriceFromAmount0RoundingUp(

• getNextSqrtPriceFromAmount1RoundingDown

• why fee = amountIN * fee / (1 - fee)

• nextInitializedTickWithinOneWord

• liquidityNet

• fee growth (per liquidity)

• how does burn update tokensOwed

Links

https://uniswapv3book.com/

https://blog.uniswap.org/uniswap-v3-math-primer

https://blog.uniswap.org/uniswap-v3-math-primer-2

https://trapdoortech.medium.com/uniswap-deep-dive-into-v3-technical-white-paper-2fe2b5c90d2