Browse all Uniswap V3 articles.
Uniswap V2 Mint and Burn Functions Explained The lifecycle of Uniswap V2 is someone mints LP tokens (supplies liquidity, i.e. tokens to the pool) for the first time, then a second depositor mints...
Last updated on Aug 29, 20258 min read
Square and Multiply Algorithm The square and multiply algorithm computes integer exponents in $\mathcal{O}(\log n)$ (logarithmic time). The naive way to compute an exponent $x^n$ is to multiply $x$...
Last updated on Aug 20, 2025How Concentrated Liquidity in Uniswap V3 Works This article explains how Uniswap V3 implements concentrated liquidity. We assume the reader already understands Uniswap V2. To understand concentrated...
Last updated on Aug 20, 20258 min read
Tickmath getSqrtRatioAtTick This article explains how the function in Uniswap V3 TickMath library works. The function takes a tick index and returns the square root price at that exact tick as a...
Last updated on Aug 20, 2025Computing the Current Tick Given sqrtPriceX96 In the previous chapters, we saw that the protocol stores the square root of the price instead of the price itself. Therefore, it is necessary to relate...
Last updated on Aug 20, 202511 min read
Real reserves in Uniswap v3 In the last chapter, we introduced two new concepts: real reserves and virtual reserves. The real reserves of a segment are the amount of tokens contained in that segment—...
Last updated on Aug 20, 20259 min read
Square Root Price in Uniswap V3 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 tokens X...
Last updated on Aug 20, 2025Uniswap V3 Factory and the Relationship Between Tick Spacing and Fees In early chapters, we introduced the concept of ticks, which discretize the price curve. A tick is a price defined by the formula...
Last updated on Aug 20, 20259 min read
Uniswap v2 router code walkthrough The Router contracts provide a user-facing smart contract for safely minting and burning LP tokens (adding and removing liquidity) safely swapping pair tokens They...
Last updated on Jul 19, 2025Uniswap V2 Architecture: An Introduction to Automated Market Makers Uniswap is a DeFi app that enables traders to swap one token for another in a trustless manner. It was one of the early automated...
Last updated on Sep 26, 2024Breaking Down the Uniswap V2 Swap Function Uniswap V2’s swap function is cleverly designed, but many devs find its logic counterintuitive the first time they encounter it. This article explains how...
Last updated on Sep 26, 2024Uniswap V2: Calculating the Settlement Price of an AMM Swap This article explains how to determine the price settlement of a trading pair in an Automated Market Maker (AMM). It answers the question...
Last updated on Aug 10, 2024