Uniswap V2

In Uniswap v3, liquidity providers open positions over a tick range instead of getting LP tokens. Learn how positions, fees, and the mint function work.

In previous chapters, we derived formulas to calculate the real reserves of tokens X and Y between two prices in a segment.

This chapter is optional. It introduces no fundamentally new concepts compared to the previous ones, but offers a different perspective on deriving real…

In the last chapter, we introduced two new concepts: real reserves and virtual reserves.

Uniswap v3 uses two types of reserves: real reserves and virtual reserves. Real reserves represent the actual amount of tokens present in a segment.

This article explains how the getSqrtRatioAtTick() function in Uniswap V3 TickMath library works.

The square and multiply algorithm computes integer exponents in O(log n) (logarithmic time).

In the previous chapters, we saw that the protocol stores the square root of the price instead of the price itself.

In early chapters, we introduced the concept of ticks, which discretize the price curve.

The smallest tick in Uniswap v3 is -887,272 and the largest tick is 887,272.

In Uniswap V2, the protocol tracks token reserves and derives the spot price, p_x=y/x, and total liquidity, L=xy, where x and y are the reserves of…

This article explains what ticks are in Uniswap V3. Ticks enable gas-efficient accounting of concentrated liquidity, so let’s quickly review concentrated…