├── .gitignore ├── .gitpod.yml ├── .vscode └── settings.json ├── LICENSE ├── README.md ├── components ├── base_link.tsx ├── counters.module.css ├── counters.tsx ├── icons │ └── WeChat.tsx └── preamble.tsx ├── next-env.d.ts ├── next.config.js ├── package.json ├── pages ├── [dark_forest │ ├── _meta.json │ └── plant.mdx ├── _app.mdx ├── _meta.json ├── eth │ └── 23.8.9-mev-info.mdx ├── index.mdx ├── rust_vs_golang │ └── 1-sin-cos.mdx └── zk │ ├── 1-zk-SNARKs-intro.mdx │ ├── 2-zk-SNARKs-info.mdx │ ├── 3-zk-SNARKs-use-in-solidity.mdx │ └── _meta.json ├── pnpm-lock.yaml ├── postcss.config.js ├── public ├── 2023-08-24-02-30-39.png ├── 2023-08-25-00-00-26.png └── 2023-08-31-18-10-30.png ├── sources ├── readme.md └── zk │ ├── .gitignore │ ├── README.md │ ├── contracts │ ├── master.sol │ └── verifier.sol │ ├── hardhat.config.ts │ ├── package.json │ ├── scripts │ └── deploy.ts │ ├── test │ └── verifier.test.ts │ ├── tsconfig.json │ ├── yarn.lock │ └── zok │ ├── abi.json │ ├── deposit.zok │ ├── out │ ├── out.r1cs │ ├── out.wtns │ ├── proof.json │ ├── proving.key │ ├── verification.key │ └── witness ├── style.css ├── tailwind.config.js ├── theme.config.tsx └── tsconfig.json /.gitignore: -------------------------------------------------------------------------------- 1 | node_modules 2 | 3 | .next -------------------------------------------------------------------------------- /.gitpod.yml: -------------------------------------------------------------------------------- 1 | # This configuration file was automatically generated by Gitpod. 2 | # Please adjust to your needs (see https://www.gitpod.io/docs/introduction/learn-gitpod/gitpod-yaml) 3 | # and commit this file to your remote git repository to share the goodness with others. 4 | 5 | # Learn more from ready-to-use templates: https://www.gitpod.io/docs/introduction/getting-started/quickstart 6 | 7 | tasks: 8 | - init: pnpm install && pnpm run build 9 | command: pnpm run start 10 | 11 | 12 | -------------------------------------------------------------------------------- /.vscode/settings.json: -------------------------------------------------------------------------------- 1 | { 2 | "pasteImage.basePath": "${currentFileDir}", 3 | "pasteImage.path": "${projectRoot}/static", 4 | "mdx.experimentalLanguageServer": true 5 | } 6 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2022 Shu Ding 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Blog 2 | 3 | 盒子的博客 4 | 作者：[@BoxMrChen](https://twitter.com/home) 5 | 6 | 进入交流群：欢迎添加个人微信`Im3boxtech`，备注`进群`，我会拉你进入交流群。 7 | 8 | 如果你有什么想了解的可以在群内提出进行交流讨论。 9 | 10 | 欢迎参与共建计划，编写更多的文章，让更多的人了解区块链技术。 11 | 12 | ## 贡献者 13 | 14 | Box：@BoxMrChen 15 | -------------------------------------------------------------------------------- /components/base_link.tsx: -------------------------------------------------------------------------------- 1 | import { Link, useConfig } from "nextra-theme-docs"; 2 | 3 | export function BaseLink({ 4 | href, 5 | children, 6 | }: { 7 | href: string; 8 | children: React.ReactNode; 9 | }) { 10 | let { docsRepositoryBase } = useConfig(); 11 | if (!docsRepositoryBase.endsWith("/")) docsRepositoryBase += "/"; 12 | 13 | return {children}; 14 | } 15 | -------------------------------------------------------------------------------- /components/counters.module.css: -------------------------------------------------------------------------------- 1 | .counter { 2 | border: 1px solid #ccc; 3 | border-radius: 5px; 4 | padding: 2px 6px; 5 | margin: 12px 0 0; 6 | } 7 | -------------------------------------------------------------------------------- /components/counters.tsx: -------------------------------------------------------------------------------- 1 | // Example from https://beta.reactjs.org/learn 2 | 3 | import { useState } from 'react' 4 | import styles from './counters.module.css' 5 | 6 | function MyButton() { 7 | const [count, setCount] = useState(0) 8 | 9 | function handleClick() { 10 | setCount(count + 1) 11 | } 12 | 13 | return ( 14 |
15 | 18 |
19 | ) 20 | } 21 | 22 | export default function MyApp() { 23 | return 24 | } 25 | -------------------------------------------------------------------------------- /components/icons/WeChat.tsx: -------------------------------------------------------------------------------- 1 | export function WeChatIcon({ className }: { className?: string }) { 2 | return ( 3 | 10 | 14 | 15 | ); 16 | } 17 | -------------------------------------------------------------------------------- /components/preamble.tsx: -------------------------------------------------------------------------------- 1 | import { Callout, Link } from "nextra-theme-docs"; 2 | import { WeChatIcon } from "./icons/WeChat"; 3 | 4 | export function Preamble() { 5 | return ( 6 | 7 |
8 | 文章作者: @BoxMrChen 9 | ，欢迎转载，转载请注明出处。 10 |
11 |
12 | 文章 Github 仓库:{" "} 13 | 14 | https://github.com/nishuzumi/blog 15 | 16 | 欢迎Star。如果文章有误，欢迎提PR。 17 |
18 |
19 | 进入交流群：欢迎添加个人微信{" "} 20 | 21 | Im3boxtech 22 | 23 | ，备注`进群`，我会拉你进入交流群。 24 |
25 | 26 | ); 27 | } 28 | -------------------------------------------------------------------------------- /next-env.d.ts: -------------------------------------------------------------------------------- 1 | /// 2 | /// 3 | 4 | // NOTE: This file should not be edited 5 | // see https://nextjs.org/docs/basic-features/typescript for more information. 6 | -------------------------------------------------------------------------------- /next.config.js: -------------------------------------------------------------------------------- 1 | const withNextra = require('nextra')({ 2 | theme: 'nextra-theme-docs', 3 | themeConfig: './theme.config.tsx', 4 | }) 5 | 6 | module.exports = withNextra() 7 | -------------------------------------------------------------------------------- /package.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "nextra-docs-template", 3 | "version": "0.0.1", 4 | "description": "Nextra docs template", 5 | "scripts": { 6 | "dev": "next dev", 7 | "build": "next build", 8 | "start": "next start" 9 | }, 10 | "repository": { 11 | "type": "git", 12 | "url": "git+https://github.com/shuding/nextra-docs-template.git" 13 | }, 14 | "author": "Shu Ding ", 15 | "license": "MIT", 16 | "bugs": { 17 | "url": "https://github.com/shuding/nextra-docs-template/issues" 18 | }, 19 | "homepage": "https://github.com/shuding/nextra-docs-template#readme", 20 | "dependencies": { 21 | "next": "^13.0.6", 22 | "nextra": "latest", 23 | "nextra-theme-docs": "latest", 24 | "react": "^18.2.0", 25 | "react-dom": "^18.2.0" 26 | }, 27 | "devDependencies": { 28 | "@types/node": "18.11.10", 29 | "autoprefixer": "^10.4.15", 30 | "postcss": "^8.4.29", 31 | "tailwindcss": "^3.3.3", 32 | "typescript": "^4.9.3" 33 | } 34 | } 35 | -------------------------------------------------------------------------------- /pages/[dark_forest/_meta.json: -------------------------------------------------------------------------------- 1 | { 2 | "plant":{ 3 | "display":"hidden" 4 | } 5 | } -------------------------------------------------------------------------------- /pages/[dark_forest/plant.mdx: -------------------------------------------------------------------------------- 1 | # 星球 2 | 3 | ## 星球代码 4 | 5 | Path: eth/contracts/DFTypes.sol 6 | 7 | ```sol 8 | struct Planet { 9 | address owner; // 星球的当前所有者的以太坊地址 10 | uint256 range; // 从该星球可以发送舰队到达的最远距离 11 | uint256 speed; // 从该星球发送的舰队的移动速度 12 | uint256 defense; // 星球的防御力，可能影响战斗结果 13 | uint256 population; // 星球上的当前人口或能量 14 | uint256 populationCap; // 星球的人口或能量上限 15 | uint256 populationGrowth; // 星球人口或能量的增长率 16 | uint256 silverCap; // 星球上银币的上限 17 | uint256 silverGrowth; // 星球上银币的增长率 18 | uint256 silver; // 星球上的当前银币数量 19 | uint256 planetLevel; // 星球的等级，可能影响其其他属性 20 | PlanetType planetType; // 星球的类型，例如气态、岩石等 21 | bool isHomePlanet; // 标记该星球是否是玩家的主星 22 | bool isInitialized; // 标记该星球是否已被初始化或被玩家发现 23 | uint256 createdAt; // 星球创建的时间或区块 24 | uint256 lastUpdated; // 星球上次更新的时间或区块 25 | uint256 perlin; // 可能与星球的随机生成或地形有关的噪音值 26 | SpaceType spaceType; // 星球所在的空间类型 27 | uint256 upgradeState0; // 星球的第一个升级状态 28 | uint256 upgradeState1; // 星球的第二个升级状态 29 | uint256 upgradeState2; // 星球的第三个升级状态 30 | uint256 hatLevel; // 星球的“帽子”等级，可能是一种装饰或标志 31 | bool hasTriedFindingArtifact; // 标记玩家是否尝试在该星球上找到遗物 32 | uint256 prospectedBlockNumber; // 玩家上次在该星球上勘探的区块号 33 | bool destroyed; // 标记该星球是否已被摧毁 34 | uint256 spaceJunk; // 星球上的太空垃圾数量 35 | uint256 pausers; // 星球上的“暂停”数量或状态 36 | uint256 energyGroDoublers; // 与星球能量增长加倍器有关 37 | uint256 silverGroDoublers; // 与星球银币增长加倍器有关 38 | address invader; // 当前正在入侵星球的玩家地址 39 | uint256 invadeStartBlock; // 入侵开始的区块号 40 | address capturer; // 最后一次成功捕获星球的玩家地址 41 | uint256 locationId; // 星球的唯一位置ID 42 | } 43 | ``` 44 | -------------------------------------------------------------------------------- /pages/_app.mdx: -------------------------------------------------------------------------------- 1 | import "../style.css"; 2 | 3 | export default function App({ Component, pageProps }) { 4 | return ; 5 | } 6 | -------------------------------------------------------------------------------- /pages/_meta.json: -------------------------------------------------------------------------------- 1 | { 2 | "index":{ 3 | "title":"首页", 4 | "display": "hidden" 5 | }, 6 | "zk": "ZK 系列", 7 | "eth": "ETH 系列", 8 | "rust_vs_golang": "Rust VS Golang", 9 | "dark_forest":{ 10 | "title":"Dark Forest 游戏分析", 11 | "display": "hidden" 12 | } 13 | } 14 | -------------------------------------------------------------------------------- /pages/eth/23.8.9-mev-info.mdx: -------------------------------------------------------------------------------- 1 | --- 2 | title: MEV 资料 3 | --- 4 | 5 | # MEV 资料 6 | 7 | 8 | 总结了一点 MEV 的资料，欢迎补充。 9 | 10 | ## 有用的链接 11 | 12 | ### Artemis：https://www.paradigm.xyz/2023/05/artemis 13 | 14 | Paradigm 出品的 MEV 框架，由 Rust 编写。 15 | 16 | 在 crates/strategies 文件目录下，有两个范例 17 | 18 | - Uniswap V2-V3 套利策略 19 | - Opensea - Sudo 套利策略 20 | 21 | ### cake_sniper：https://github.com/Supercycled/cake_sniper 22 | 23 | 一个抢跑 MEV 的机器人。由 Python 编写，代码比较老旧，可以用于学习思路。 24 | 25 | ### rusty-sando：https://github.com/mouseless-eth/rusty-sando 26 | 27 | 用 Huff 和 Artemis 编写的套利机器人，具有 Uniswap V2/V3 的三明治攻击机器人。 28 | 29 | ### awesome-MEV-resources：https://github.com/0xalpharush/awesome-MEV-resources 30 | 31 | 超多超全的 MEV 资料。 32 | -------------------------------------------------------------------------------- /pages/index.mdx: -------------------------------------------------------------------------------- 1 | # 介绍 2 | 3 | 欢迎来到 ByteMahou -（字节魔法）。这里是一个专门用于分享高质量 Web3 技术文章的地方。 4 | 5 | 如果你有任何想要分享的文章，欢迎随时到 Github 进行贡献。 6 | 7 | ## 主要贡献者 8 | 9 | BoxChen 10 | -------------------------------------------------------------------------------- /pages/rust_vs_golang/1-sin-cos.mdx: -------------------------------------------------------------------------------- 1 | --- 2 | title: Rust多线程浮点数运算比Golang慢一倍？ 3 | --- 4 | 最近遇到一个有趣的问题，有人在测试Rust的性能的时候发现Rust比Golang慢竟然一倍。 5 | ```shell 6 | Project Execution Time (s) 7 | Rust 2.9696159 8 | Go 1.981306 9 | ``` 10 | 并且评论中大部分人都认为是多线程代码中的Mutex导致，但是根据我初步分析来看，和Mutex完全没用关系。 11 | 代码如下。 12 | https://github.com/nishuzumi/rust-vs-golang/blob/main/sin-cos/rust/src/main.rs 13 | ```rust 14 | use num_cpus; 15 | use std::{ 16 | sync::{Arc, Mutex}, 17 | thread, 18 | }; 19 | 20 | use std::time::Instant; 21 | fn main() { 22 | let num_cpus = num_cpus::get(); 23 | let start_time = Instant::now(); 24 | 25 | let mut handles = vec![]; 26 | let result = Arc::new(Mutex::new(vec![0.0; num_cpus])); 27 | 28 | for i in 0..num_cpus { 29 | let result = Arc::clone(&result); 30 | let handle = thread::spawn(move || { 31 | let mut local_result = 0.0; 32 | for j in 0..100_000_000 { 33 | local_result += (j as f64).sin() * (j as f64).cos(); 34 | } 35 | 36 | let mut result = result.lock().unwrap(); 37 | result[i] = local_result; 38 | println!("Thread {} result: {}", i, local_result); 39 | }); 40 | handles.push(handle); 41 | } 42 | 43 | for handle in handles { 44 | handle.join().unwrap(); 45 | } 46 | 47 | let final_result = result.lock().unwrap().iter().sum::(); 48 | 49 | println!("Elapsed time: {:?}", start_time.elapsed().as_secs_f64()); 50 | println!("Final result: {}", final_result); 51 | } 52 | ``` 53 | 而Golang部分的代码如下 54 | https://github.com/nishuzumi/rust-vs-golang/blob/main/sin-cos/golang/main.go 55 | ```golang 56 | package main 57 | 58 | import ( 59 | "fmt" 60 | "math" 61 | "runtime" 62 | "sync" 63 | "time" 64 | ) 65 | 66 | func main() { 67 | numCPU := runtime.NumCPU() 68 | fmt.Printf("Running with %d CPUs\n", numCPU) 69 | 70 | var wg sync.WaitGroup 71 | 72 | start := time.Now() 73 | 74 | for i := 0; i < numCPU; i++ { 75 | wg.Add(1) 76 | go func(id int) { 77 | defer wg.Done() 78 | result := 0.0 79 | for j := 0; j < 1e8; j++ { 80 | result += math.Sin(float64(j)) * math.Cos(float64(j)) 81 | } 82 | fmt.Printf("Goroutine %d result: %f\n", id, result) 83 | }(i) 84 | } 85 | 86 | wg.Wait() 87 | 88 | elapsed := time.Since(start) 89 | fmt.Printf("Elapsed time: %f\n", elapsed.Seconds()) 90 | } 91 | ``` 92 | 93 | 初步分析来看，rust虽然用了一个毫无必要的锁，但是这个锁并没有堵塞线程的迹象。而运行出来的结果是。 94 | ```shell 95 | Project Execution Time (s) 96 | Rust 2.9696159 97 | Go 1.981306 98 | ``` 99 | 很明显，Rust的速度反而没有Golang快，慢了一秒。这是为什么呢？可以思考一下 马上揭晓答案。 100 | 101 | ### 答案 102 | 原因在于Window上的一些小问题，以上代码在Linux和macos下运行的速度是正常的，golang比rust慢。 103 | 104 | 主要原因是，golang的math仓库是另外一套实现，而rust使用的是libm进行计算。在同样的环境下c++和rust的速度基本一致。而golang的math实现虽然快，但是损失了精度，详细可以见这里的解释。 105 | https://github.com/nishuzumi/rust-vs-golang/blob/main/sin-cos/readme.md 106 | 107 | ### 结尾 108 | 最近发现了很多这样的速度差异对比，我感觉很有意思，于是创建了一个仓库，用于记录这些差别。 109 | 110 | https://github.com/nishuzumi/rust-vs-golang 111 | 112 | 如果你也有一些速度差异的例子，欢迎到Github中进行补充。 -------------------------------------------------------------------------------- /pages/zk/1-zk-SNARKs-intro.mdx: -------------------------------------------------------------------------------- 1 | --- 2 | title: zk-SNARKs 简介 3 | --- 4 | 5 | # zk-SNARKs 简介 6 | 7 | 8 | 9 | 在这篇文章中，我们的目标是从实用的角度对 zk-SNARKs 进行概述。我们将把实际的数学问题视为一个黑箱，并试图围绕我们如何使用它们来发展一些直觉。我们还将展示一项关于[ 10 | 在以太坊中集成 zk-SNARKs 的最近工作的简单应用 ](https://blog.ethereum.org/2017/01/19/update-integrating-zcash-ethereum/)。 11 | 12 | ## 零知识证明 13 | 14 | 零知识证明的目标是让验证者能够确信证明者掌握了一个满足某种关系的秘密参数，也就是所谓的见证人，而无需向验证者或任何其他人揭示这个见证人。 15 | 16 | 我们可以更具体地将其想象为一个程序，标记为 C ，接收两个输入： `C(x, w)`。输入 x 是公开输入，而 w 是秘密见证输入。程序的输出是布尔值，即 true 或 false 。然后，目标是给定特定的公开输入 x ，证明证明者知道一个秘密输入 w ，使得 `C(x,w) == true` 。 17 | 18 | 我们将专门讨论非交互式零知识证明。这意味着证明本身是一块可以在无需证明者任何交互的情况下进行验证的数据。 19 | 20 | ## 示例程序 21 | 22 | 假设 Bob 得到了某个值的哈希 H ，他希望有证据证明 Alice 知道哈希为 H 的值 s 。通常，Alice 会通过给 Bob s 来证明这一点，然后 Bob 会计算哈希并检查它是否等于 H 。 23 | 24 | 然而，假设 Alice 不想向 Bob 透露 s 的值，而只是想证明她知道这个值。她可以使用 `zk-SNARK` 来实现这一点。 25 | 26 | 我们可以使用以下程序来描述 Alice 的情况，这里以 Javascript 函数的形式编写： 27 | 28 | ``` 29 | function C(x, w) { return ( sha256(w) == x );} 30 | ``` 31 | 32 | > 这个程序不涉及任何 ZK 内容，他只是用于表示我们想要达到的效果是什么样。我们可以将其视为一个黑盒，我们将在下一节中讨论如何使用 zk-SNARKs 来构建这样的程序。 33 | 34 | 换句话说：该程序接收一个公共哈希 x 和一个秘密值 w ，如果 w 的 SHA-256 哈希等于 x ，则返回 true 。 35 | 36 | 将 Alice 的问题通过函数 `C(x,w)`进行翻译，我们可以看到 Alice 需要创建一个证明，证明她拥有 s ，使得 `C(H, s) == true` ，而无需揭示 s 。这就是 zk-SNARKs 解决的一般问题。 37 | 38 | ## zk-SNARK 的定义 39 | 40 | 一个 zk-SNARK 由三个算法 G, P, V 组成，定义如下： 41 | 42 | _密钥生成器 G_ 由一个秘密参数 `lambda` 和一个程序 C 组成 ，并生成两个公开可用的密钥，一个 _proving key_ pk（证明密钥） ，和一个 _verification key_ vk（验证密钥） 。这些密钥是公开参数，只需要使用程序 C 生成一次。 43 | 44 | _证明者 P_ 将证明密钥 pk 、公共输入 x 和见证 w 作为输入。该算法生成一个证明 `prf = P(pk, x, w)` ，证明者知道一个见证 w ，并且该见证满足程序的要求。 45 | 46 | _验证器 V_ 计算 `V(vk, x, prf)` ，如果证明是正确的，它将返回 true ，否则返回 false 。因此，如果证明者知道一个满足 C(x,w) == true 的见证 w ，这个函数就会返回真。 47 | 48 | 请注意在生成器中使用的秘密参数 lambda 。这个参数有时使得在现实世界的应用中使用 zk-SNARKs 变得棘手。原因在于，任何知道这个参数的人都可以生成假的证明。具体来说，给定任何程序 C 和公开输入 x ，知道 lambda 的人可以生成一个证明 fake_prf ，使得 `V(vk, x, fake_prf)` 评估为 true ，而无需知道秘密 w 。 49 | 50 | 因此，实际运行生成器需要一个非常安全的过程，以确保没有人了解并保存参数。这就是 Zcash 团队进行[极其复杂的仪式](https://electriccoin.co/blog/the-design-of-the-ceremony/)以生成证明密钥和验证密钥的原因，同时确保“有毒废料” lambda 在过程中被销毁。 51 | 52 | ## 针对示例程序的 zk-SNARK 53 | 54 | 在实际操作中， Alice 和 Bob 如何使用 zk-SNARK，以便 Alice 证明她知道上述示例中的秘密值？ 55 | 首先，如上所述，我们将使用由以下函数定义的程序： 56 | 57 | ```javascript 58 | function C(x, w) { 59 | return sha256(w) == x; 60 | } 61 | ``` 62 | 63 | 首先，Bob 需要运行生成器 G，以创建证明密钥 pk 和验证密钥 vk。首先，随机生成 lambda，并将其作为输入： 64 | 65 | ``` 66 | (pk, vk) = G(C, lambda) 67 | ``` 68 | 69 | 请小心处理参数 lambda，因为如果 Alice 知道 lambda 的值，她将能够创建假的证明。Bob 将与 Alice 分享 pk 和 vk。 70 | 71 | Alice 现在将扮演证明者的角色。她需要证明她知道哈希值为已知哈希 H 的值 s。她运行证明算法 P，使用输入 pk、H 和 s 来生成证明 prf： 72 | 73 | ``` 74 | prf = P(pk, H, s) 75 | ``` 76 | 77 | 接下来，Alice 将证明 prf 呈现给 Bob ，Bob 运行验证函数 `V(vk, H, prf)`。在这种情况下，由于 Alice 正确地知道了秘密 s，所以会返回真值。Bob 可以确信 Alice 知道这个秘密，但 Alice 并不需要向 Bob 透露这个秘密。 78 | 79 | ## 可重用的证明和验证密钥 80 | 81 | 在我们上述的例子中，如果 Bob 想向 Alice 证明他知道一个秘密，那么他就不能使用 zk-SNARK，因为 Alice 无法知道 Bob 是否保存了 lambda 参数。Bob 完全有可能伪造证据。 82 | 83 | 如果一个程序对许多人有用（比如 Zcash 的例子），一个独立于 Alice 和 Bob 的可信赖的独立团队可以运行生成器，创建证明密钥 pk 和验证密钥 vk，而且这样做没有人会了解到 lambda。 84 | 85 | 任何相信该团队没有作弊的人，都可以在未来的互动中使用这些密钥。 86 | 87 | ## 以太坊中的 zk-SNARKs 88 | 89 | 开发者已经开始将 zk-SNARKs 集成到以太坊中。这看起来是什么样子呢？具体来说，你可以将验证算法的构建模块以预编译合约的形式添加到以太坊中。具体操作如下：在链下运行生成器，生成证明密钥和验证密钥。然后，任何证明者都可以使用证明密钥创建证明，这也是在链下完成的。然后，你可以在智能合约内部运行通用验证算法，使用证明、验证密钥和公开输入作为输入参数。然后，你可以使用验证算法的结果来触发其他链上活动。 90 | 91 | ## 示例：保密交易 92 | 93 | 以下是一个简单的例子，说明了 zk-SNARKs 如何帮助提高以太坊的隐私性。假设我们有一个简单的代币合约。通常，一个代币合约的核心是将地址映射到余额： 94 | 95 | ```javascript 96 | mapping (address => uint256) balances; 97 | ``` 98 | 99 | 我们将保留相同的基本核心，只是将余额替换为余额的哈希值： 100 | 101 | ```javascript 102 | mapping (address => bytes32) balanceHashes; 103 | ``` 104 | 105 | 我们不会隐藏交易的发送者或接收者。但我们会隐藏余额和发送的金额。这种属性有时被称为保密交易。 106 | 107 | 我们将使用两个 zk-SNARKs 来将代币从一个账户发送到另一个账户。发送者和接收者各创建一个证明。 108 | 109 | 通常在一个代币合约中，为了使大小值的交易有效，我们需要验证以下内容： 110 | 111 | ``` 112 | balances[fromAddress] >= value 113 | ``` 114 | 115 | 我们的 zk-SNARKs 需要证明这一点是成立的，以及更新后的哈希值与更新后的余额相匹配。 116 | 117 | 主要的思想是，发送者将使用他们的 _初始余额_ 和 _值_ 作为私有数据。使用 _初始余额_、_结束余额_ 和 _值的哈希_ 作为公开数据。同样，接收者将使用 _初始余额_ 和 _值_ 作为私有数据。使用 _初始余额_ 、 _结束余额_ 和 _值的哈希_ 作为公开数据。 118 | 119 | 以下是发送者的 zk-SNARK 程序，其中如前所述，x 代表公开数据，w 代表私有数据。 120 | 121 | ```javascript 122 | /** 123 | * @param x 公开数据 124 | * @param w 私有数据 125 | */ 126 | function senderFunction(x, w) { 127 | return ( 128 | w.senderBalanceBefore > w.value && // 确保发送者有足够的余额 129 | sha256(w.value) == x.hashValue && // 确保发送的值与公开的哈希值匹配 130 | sha256(w.senderBalanceBefore) == x.hashSenderBalanceBefore && // 确保发送者的初始余额与公开的哈希值匹配 131 | sha256(w.senderBalanceBefore - w.value) == x.hashSenderBalanceAfter // 确保发送者的结束余额与公开的哈希值匹配 132 | ); 133 | } 134 | ``` 135 | 136 | 接受者的 zk-SNARK 程序如下： 137 | 138 | ```javascript 139 | /** 140 | * @param x 公开数据 141 | * @param w 私有数据 142 | */ 143 | function receiverFunction(x, w) { 144 | return ( 145 | sha256(w.value) == x.hashValue && 146 | sha256(w.receiverBalanceBefore) == x.hashReceiverBalanceBefore && 147 | sha256(w.receiverBalanceBefore + w.value) == x.hashReceiverBalanceAfter 148 | ); 149 | } 150 | ``` 151 | 152 | 这些程序会检查发送余额是否大于正在发送的值，并检查所有哈希是否匹配。一组受信任的人员将为我们的 zk-SNARKs 生成证明和验证密钥。我们称它们为 _confTxSenderPk_、_confTxSenderVk_、_confTxReceiverPk_ 和 _confTxReceiverVk_。 _confTxSenderPk_ 和 _confTxReceiverPk_ 将被用于生成证明，而 _confTxSenderVk_ 和 _confTxReceiverVk_ 将被用于验证证明。 153 | 154 | 在代币合约中使用 zk-SNARKs 可能会是这样的： 155 | 156 | ```solidity 157 | function transfer(address _to, bytes32 hashValue, bytes32 hashSenderBalanceAfter, bytes32 hashReceiverBalanceAfter, bytes zkProofSender, bytes zkProofReceiver) { 158 | bytes32 hashSenderBalanceBefore = balanceHashes[msg.sender]; 159 | bytes32 hashReceiverBalanceBefore = balanceHashes[_to]; 160 | 161 | bool senderProofIsCorrect = zksnarkverify(confTxSenderVk, [hashSenderBalanceBefore, hashSenderBalanceAfter, hashValue], zkProofSender); 162 | 163 | bool receiverProofIsCorrect = zksnarkverify(confTxReceiverVk, [hashReceiverBalanceBefore, hashReceiverBalanceAfter, hashValue], zkProofReceiver); 164 | 165 | if(senderProofIsCorrect && receiverProofIsCorrect) { 166 | balanceHashes[msg.sender] = hashSenderBalanceAfter; 167 | balanceHashes[_to] = hashReceiverBalanceAfter; 168 | } 169 | } 170 | ``` 171 | 172 | 因此，区块链上唯一更新的只是余额的哈希值，而不是余额本身。然而，我们可以知道所有的余额都被正确地更新了，因为我们可以自己检查证明已经被验证过了。 173 | 174 | 通过上面的例子，我们也可以看到，在区块链上我们只进行了余额的 Hash 存储，而没有暴露真实的余额，这就对数据进行了保密，我们除了知道两者之间发生了交易，但是我们不知道具体交易金额，这就保证了交易的隐私性。 175 | 176 | ## 详细信息 177 | 178 | 上述的保密交易方案主要是为了给出一个实际的例子，说明我们如何在以太坊上使用 zk-SNARKs。要创建一个健全的保密交易方案，我们需要解决一些问题： 179 | 180 | - 用户需要在客户端跟踪他们的余额，如果你失去余额数据，那么你就失去了这个账户的控制权。余额或许可以用来自签名密钥的密钥加密并存储在链上。 181 | - 余额需要使用 32 字节的数据并熵编码，以防止反向解析哈希以计算余额。 182 | - 需要处理向未使用地址发送的边缘情况。 183 | - 发件人需要与收件人进行交互才能发送。我们可能会有一个系统，发件人可以使用他们的证明来启动交易。然后，收件人可以在区块链上看到他们有一个“待处理的入账交易”，并可以完成它。 184 | 185 | > 本文翻译自 [Consensys](https://consensys.net/blog/developers/introduction-to-zk-snarks/) 186 | > 翻译者：[@BoxMrChen](https://twitter.com/home) 187 | -------------------------------------------------------------------------------- /pages/zk/2-zk-SNARKs-info.mdx: -------------------------------------------------------------------------------- 1 | --- 2 | title: zk-SNARKs 相关知识 3 | --- 4 | 5 | # zk-SNARKs 相关知识 6 | 7 | 8 | 9 | ## 曲线知识 10 | 11 | ### Pedersen 哈希 12 | 13 | 在 ZK 电路中，SHA256 是比较昂贵的计算电路，虽然他在 EVM 中具有内置计算方式，但是他的计算成本还是比较高的。所以，我们需要一个更加轻量级的哈希函数。 14 | 15 | 但是，Pedersen 哈希是一个特殊的哈希，他是通过 BabyJubJub 椭圆曲线来实现的。所以，我们在计算后得到的数据其实是椭圆函数上一个点的 Y 值附加一个 X 坐标符号，一般情况下，我们会使用`unpack`函数来将这个点的值转换，并且只取 X 坐标的值作为哈希值。 16 | 17 | ### BabyJubJub 椭圆曲线 18 | 19 | ETH 中确实具有一个椭圆曲线函数，但是加入 BabyJubJub 的理由主要是因这个曲线函数更加对 ZK 电路友好。并且能完成很多 ZK 电路功能。 20 | 21 | 不过可惜的是，目前 ETH 并不原生支持 BabyJubJub 曲线。详细可以查看这个链接：https://eips.ethereum.org/EIPS/eip-2494 22 | 23 | 目前来看，只有在链下使用 BabyJubJub 曲线，然后将结果提交到链上。 24 | 25 | 同时，一半情况下，我们建议开发者使用 ZK 电路中对电路友好的内置函数，比如说，我们可以使用 `pedersenHash` 来代替 `sha256`。这样做的目的主要是降低电路生成和验证成本，在同样的效果下达到最佳的性能。 26 | 27 | ## 证明模式 28 | 29 | ### 延展性攻击 30 | 31 | 所谓的延展性攻击，就是破坏了 ZK 对证明的确定性生成特性，比如说，我们可以通过一个证明来生成多个证明，这样就会导致我们的证明不再是确定性的，而是可以被重新生成的。 32 | 那么如果有程序使用了这个证明中 Proof 的某些值作为唯一校验，那么他就有被攻击的风险。比如，如果 Tornado Cash 使用了`proof.a.x`作为 nullifier，那么攻击者就可以使用一个输入来生成多个证明，然后使用这些证明来进行攻击。 33 | 34 | ## Groth16 和 GM17 35 | 36 | Groth16 和 GM17 是两种不同的的证明模式，他们之间有少许区别，主要区别在于证明方式和曲线支持程度不同。主要区别在于。 37 | 38 | ### 链下计算： 39 | 40 | 1. Groth16： 41 | 42 | - 通常更快的证明生成时间。 43 | - 参数设置（Trusted Setup）通常只需要进行一次，适用于多个证明。 44 | 45 | 2. GM17： 46 | - 相对于 Groth16，证明生成时间可能会稍长。 47 | - 每个不同的电路通常需要自己的参数设置（Trusted Setup）。 48 | 49 | ### 链上费用（Gas 成本）： 50 | 51 | 1. Groth16： 52 | 53 | - 通常需要更少的链上数据，因为 Groth16 的证明通常较小。 54 | - 由于证明大小较小，因此链上验证的 gas 成本通常也较低。 55 | 56 | 2. GM17： 57 | 58 | - 相对于 Groth16，可能需要更多的链上数据。 59 | - 由于证明通常较大，因此链上验证的 gas 成本可能会稍高。 60 | 61 | ### 适用场景： 62 | 63 | - Groth16： 由于其高效性和较低的链上成本，Groth16 通常用于需要频繁生成和验证证明的应用。 64 | - GM17： 由于其更灵活的参数设置，GM17 适用于需要多个不同电路的应用。 65 | 66 | ### 安全性： 67 | 68 | - Groth16： 更容易受到延展性攻击的影响，因此可能需要额外的安全措施（如使用 nullifier）。 69 | - GM17： 设计用于抵抗延展性攻击，但可能需要为每个不同的电路进行独立的参数设置。 70 | -------------------------------------------------------------------------------- /pages/zk/3-zk-SNARKs-use-in-solidity.mdx: -------------------------------------------------------------------------------- 1 | --- 2 | title: zk-SNARKs 在 Solidity 中的使用 3 | --- 4 | 5 | # zk-SNARKs 在 Solidity 中的使用 6 | 7 | 8 | 9 | 本文章主要讲述了如何在 Solidity 中使用 zk-SNARKs，以及如何使用 ZoKrates 编译器来生成证明和验证合约。 10 | 11 | 这文章不会过于深入 zk-SNARKs 的技术原理，这文章目的是为让读者能够理解 sk-SNARKs 的技术能在 EVM 中达到什么效果，如何使用，并且能在代码中运用。 12 | 13 | ## zk-SNARKs 简介 14 | 15 | 关于 zk-SNARKs 的简短描述为，我们需要在 zk 电路中编写一段代码，这段代码的输入是一些公开的数据，输出是一些私有的数据。zk-SNARKs 的验证算法可以验证这段代码的输出是否正确，但是验证算法不会泄露任何私有数据。而 Solidity 合约的主要目的是验证 zk-SNARKs 的验证算法的结果，如果验证算法的结果正确，那么合约会执行一些操作。 16 | 17 | 也就是说，在 EVM 上，只是进行了结果的验证，并没有进行一些复杂的计算，这些计算都是在 zk 电路中进行的。而这部分 zk 电路，则是在链下进行的，然后将结果提交到链上。 18 | 19 | ## 在 Solidity 中使用 zk-SNARKs 20 | 21 | 首先，我们需要知道 zk-SNARKs 可以完成什么功能，其实很简单，我们可以简单的认为，zk-SNARKs 可以完成对一个函数运算结果的校验，比如说，我们有一个函数，输入是三个数字，输出是一个数字，我们可以使用 zk-SNARKs 来校验这个函数的输出是否正确。但是我们并不需要知道输入的三个数字是什么，只需要知道这个函数的输出即可，也就是说，在一个函数完成计算时，我们可以知道确实是有这么三个数他能符合这个函数的输入，并且能输出正确结果，但是我们并不知道这三个数是什么。 22 | 23 | 在 Solidity 中，我们可以使用 zk-SNARKs 来完成对一个函数的校验，但是我们需要知道这个函数的输入和输出，然后我们可以使用 ZoKrates 编译器来生成 zk 电路，然后将 zk 电路的代码放到 Solidity 合约中，然后在合约中完成对 zk 电路的验证。 24 | 25 | ### 安装 ZoKrates 编译器 26 | 27 | 安装 [ZoKrates](https://github.com/Zokrates/ZoKrates) 28 | 29 | ```bash 30 | curl -LSfs get.zokrat.es | sh 31 | ``` 32 | 33 | 也可以选择其他安装方式，具体选择查看他们的 Github 页面。 34 | 35 | ![安装完成](/2023-08-24-02-30-39.png) 36 | 37 | ### 编写 zk 电路 38 | 39 | 从上一章节我们浅显的知道，一个 zk-SNARKs 电路需要的最基本的东西为： 40 | 41 | - 一个函数 - 我们需要有一个函数对数据进行运算，也就是程序 C 42 | - lambda - 所谓的“有毒废料”，其实就是一个 root key，我们需要通过它来生成 pk 和 vk 43 | 44 | 有了这两个基础条件，用户就可以通过 pk，目标值，输入值来生成证明 w。 45 | 随后，我们的验证程序通过 vk，目标值，证明 w 来验证证明的正确性。 46 | 47 | 我们先假设有这么一个第三方，他可以安全的生成 lambda，然后安全的将程序和 lambda 进行运算生成 vk 和 pk。 48 | 49 | 那么现在有两个新的角色，user 和 project。user 是用户，他确确实实拥有着一些数据，project 是项目合约，他需要验证用户的数据是否正确。 50 | 51 | ### 一个函数 52 | 53 | 我们首先需要一个函数，但是我并不打算举一些简单例子，因为我觉得这样做非常没有意义，因为 zk-SNARKs 的主要目的是为了验证一些复杂的函数，而不是一些简单的函数。 54 | 55 | 比如，我们现在需要生成一个存款凭证，有这个凭证，我们可以在任何地方取出这笔钱，但是我们并不知道这笔钱是谁的，我们只知道这笔钱是谁存的，存了多少，以及存款的时间。 56 | 57 | 首先我们需要一个存款函数，这个函数的输入为存款的金额，和一个随机数，然后输出为一个存款凭证。任何拥有这个凭证的人都可以取出这笔资金。所以，实际上，我们只需要编写验证知道这个凭证的验证函数即可。 58 | 59 | ```zok 60 | import "hashes/sha256/512bit" as sha256; 61 | import "utils/pack/u32/nonStrictUnpack256" as unpack256; 62 | 63 | // deposit_amount: 存款金额 64 | // secret: 随机数 65 | // returns: 用于取款的commitment 66 | def main(field deposit_amount, private field secret) -> u32[8] { 67 | return sha256(unpack256(deposit_amount), unpack256(secret)); 68 | } 69 | ``` 70 | 71 | 关于 Zok 的语法和用法这里不过多描述，具体可以参考官网，这里简单解释一下，这个函数的输入为两个数字，一个是存款金额，一个是随机数，然后输出为一个 u32[8]，实际上就是 uint256.同时我们注意一下，参数中 deposit_amount 没有 private 关键词，说明这个参数是公开数据。 72 | 73 | ### 编译文件 74 | 75 | 这部分内容在 zokrates 中有讲述方式为 76 | 77 | ```zok 78 | # compile 79 | zokrates compile -i deposit.zok 80 | # perform the setup phase 81 | zokrates setup 82 | # execute the program 83 | zokrates compute-witness -a 337 113569 84 | # generate a proof of computation 85 | zokrates generate-proof 86 | # export a solidity verifier 87 | zokrates export-verifier 88 | # or verify natively 89 | zokrates verify 90 | ``` 91 | 92 | 运行完成后会生成一堆文件，我们需要的是 proof.json, proving.key, verification.key, verifier.sol, out。 93 | 94 | 大部分其实都是模版文件生成文件可能不一样的地方在于 Verifier 合约中 verifyingKey，当然，我们阅读这个文件其实意义也不大，因为这里面全是一大堆数字和运算。 95 | 实际上我们需要看的内容就是这些 ∑ 96 | 97 | ```solidity 98 | function verifyTx( 99 | Proof memory proof, uint[8] memory input 100 | ) public view returns (bool r) { 101 | uint[] memory inputValues = new uint[](8); 102 | 103 | for(uint i = 0; i < input.length; i++){ 104 | inputValues[i] = input[i]; 105 | } 106 | if (verify(inputValues, proof) == 0) { 107 | return true; 108 | } else { 109 | return false; 110 | } 111 | } 112 | ``` 113 | 114 | 可以看到，我们需要两个参数,proof 和 input。至于这两个参数是干嘛的，我们暂时不过多深究。不过我们需要注意的是，在 inputs 中，所有的共有参数都会被加入到这个数组中，在数字最开头部分被推入。 115 | 116 | 比如，自动生成的 proof.json 文件就是一个有效的数据。 117 | 118 | ```json 119 | { 120 | "scheme": "gm17", 121 | "curve": "bn128", 122 | "proof": { 123 | "a": [ 124 | "0x05a83e3c3b3ff9d59bdffdcf7aa655f42b941b0063f82cf26516846056d09aa6", 125 | "0x018039b7de92979ef6251c877971888ae049d09a6b48e5aa98c23ef91550ed36" 126 | ], 127 | "b": [ 128 | [ 129 | "0x1e88e783456a27e4f02dde8c742610339e395eb0bbf7f7efc1113815dcf0a16f", 130 | "0x1cc9de9e60c6519ea69c9b3a71c0809ac7ae3389a598d66fc27d378738d5de29" 131 | ], 132 | [ 133 | "0x0715544abbc18e741620ff7c76cb2a7d3558ee157d23f275ab65c43c25357d07", 134 | "0x0344257236ba33a3ce7ce34b8d518f7572984036db6f77fc2fc13f51c548a837" 135 | ] 136 | ], 137 | "c": [ 138 | "0x177113e528c76661a03a8f3f072f29e684244297a62926a0000d3a7135c1441f", 139 | "0x18cf275d0bc621473688848946584af771afca42e4f2bd0ef1e5d06e0adefd0f" 140 | ] 141 | }, 142 | "inputs": [ 143 | "0x0000000000000000000000000000000000000000000000000000000000000151", 144 | "0x00000000000000000000000000000000000000000000000000000000bb3eada7", 145 | "0x000000000000000000000000000000000000000000000000000000004b704815", 146 | "0x00000000000000000000000000000000000000000000000000000000cddda451", 147 | "0x00000000000000000000000000000000000000000000000000000000ca701d2a", 148 | "0x000000000000000000000000000000000000000000000000000000001f278e64", 149 | "0x00000000000000000000000000000000000000000000000000000000ef16f074", 150 | "0x0000000000000000000000000000000000000000000000000000000040e13298", 151 | "0x0000000000000000000000000000000000000000000000000000000026c5da72" 152 | ] 153 | } 154 | ``` 155 | 156 | 至此，我们可以写一个简单合约。 157 | 158 | ```solidity 159 | // SPDX-License-Identifier: MIT 160 | pragma solidity ^0.8.0; 161 | 162 | import {Verifier} from "./verifier.sol"; 163 | 164 | contract Master { 165 | event Despoit(uint256 commitment, uint amount); 166 | 167 | mapping(uint => uint) public proofs; 168 | 169 | Verifier v; 170 | 171 | constructor() { 172 | v = new Verifier(); 173 | } 174 | 175 | function deposit(uint commitment) public payable { 176 | proofs[commitment] = msg.value; 177 | emit Despoit(commitment, msg.value); 178 | } 179 | 180 | function withdraw( 181 | uint commitment, 182 | Verifier.Proof memory proof, 183 | uint[9] memory inputs 184 | ) public { 185 | uint amount = inputs[0]; 186 | require(v.verifyTx(proof, inputs)); 187 | require(proofs[commitment] == amount); 188 | 189 | payable(msg.sender).transfer(amount); 190 | } 191 | } 192 | ``` 193 | 194 | 要注意的是 Verifier 合约中会出现两个`pragma solidity`，记得删掉中间那一个，保留最上面的那个，否则编译无法通过。 195 | 196 | ## 测试 197 | 198 | 首先我们需要明白一下标准流程，我们需要先进行 compile，setup，然后再进行 compute-witness，然后再进行 generate-proof，最后再进行 export-verifier。 199 | 200 | 但是这套流程并不是每次都必须的，因为这个是一个完整流程。我们需要进行一下区分。 201 | 202 | ### 必要条件 203 | 204 | - compile - 编译 zk 电路 - 只需要执行一次 这个功能会生成 out 文件和 abi.json 文件，这两个是编译后的程序。 205 | - setup - 生成 zk 电路的 pk 和 vk - 只需要执行一次 这个功能会生成 proving.key 和 verification.key 文件，这两个文件是 zk 电路的公钥和私钥。实际上在进行 setup 的时候会产生 lambda，但是这些过程我们不需要太过于关心。 206 | 207 | ### 提交证明条件 208 | 209 | - compute-witness - 生成证明 - 这个功能会生成 witness 文件，这个文件是一个中间文件。 210 | - generate-proof - 生成证明的 Proof - 这个功能会生成 proof.json 文件，这个文件是证明需要提交的内容，一般来说里面的内容就是我们需要提交到链上的参数。 211 | 212 | ### 接受证明条件 213 | 214 | - export-verifier - 生成 verifier.sol - 这个功能会生成 verifier.sol 文件，这个文件是一个合约，我们需要将这个合约部署到链上，然后在我们的合约中调用这个合约来验证证明的正确性。 215 | - verify - 本地验证 - 这个功能会验证证明的正确性，但是这个功能并不会生成任何文件。 216 | 217 | ### 编写文件 218 | 219 | 根据上面内容，我们可以写出一些用于测试的单元测试逻辑。 220 | 221 | ```js 222 | import { expect } from "chai"; 223 | import { ethers } from "hardhat"; 224 | import { Verifier } from "../typechain-types/Verifier"; 225 | import { CompilationArtifacts, ZoKratesProvider } from "zokrates-js"; 226 | import { readFileSync } from "fs"; 227 | import { Master } from "../typechain-types"; 228 | import { resolve } from 'path' 229 | 230 | describe("Verifier", function () { 231 | let master: Master; 232 | let zokratesProvider: ZoKratesProvider 233 | 234 | const zokArtifacts: CompilationArtifacts = { 235 | program: readFileSync(resolve(__dirname, '../zok/out')), 236 | abi: JSON.parse(readFileSync(resolve(__dirname, '../zok/abi.json'), 'utf-8')) 237 | } 238 | 239 | const provingKey = readFileSync(resolve(__dirname, '../zok/proving.key')) 240 | 241 | beforeEach(async () => { 242 | const { initialize } = await import("zokrates-js"); 243 | zokratesProvider = (await initialize()).withOptions({ 244 | backend: 'ark', 245 | curve: 'bn128', 246 | scheme: 'gm17' 247 | }); 248 | 249 | const bn256 = await ethers.getContractFactory("BN256G2").then((f) => f.deploy()); 250 | 251 | master = await ethers.getContractFactory("Master", { 252 | libraries: { 253 | "contracts/verifier.sol:BN256G2": bn256.address, 254 | } 255 | }).then((f) => f.deploy()); 256 | }) 257 | 258 | it("should verify a proof", async () => { 259 | const { witness, output } = zokratesProvider.computeWitness( 260 | zokArtifacts, 261 | [`${ethers.constants.WeiPerEther}`, '23'], 262 | ) 263 | 264 | const commitment = hexListToUint256BigEndian(JSON.parse(output)).toString(); 265 | 266 | await master.deposit( 267 | commitment, 268 | { value: ethers.constants.WeiPerEther } 269 | ) 270 | 271 | const proof = zokratesProvider.generateProof( 272 | zokArtifacts.program, 273 | witness, 274 | provingKey); 275 | 276 | 277 | const sender = (await ethers.getSigners())[0]; 278 | expect(() => master.connect(sender). 279 | withdraw(commitment, proof.proof as Verifier.ProofStruct, proof.inputs) 280 | ).to.changeEtherBalance(sender, ethers.constants.WeiPerEther); 281 | }) 282 | }); 283 | 284 | 285 | function hexListToUint256BigEndian(hexList: string[]) { 286 | let uint256Data = "0x"; 287 | for (const hex of hexList) { 288 | const cleanedHex = hex.replace("0x", ""); 289 | uint256Data += cleanedHex; 290 | } 291 | const uint256BigNumber = ethers.BigNumber.from(uint256Data); 292 | return uint256BigNumber; 293 | } 294 | ``` 295 | 296 | ![运行成功](/2023-08-31-18-10-30.png) 297 | 298 | import { BaseLink } from "components/base_link"; 299 | 300 | 项目的基础文件都放在: Github 仓库[]()中，欢迎 Star。 301 | -------------------------------------------------------------------------------- /pages/zk/_meta.json: -------------------------------------------------------------------------------- 1 | { 2 | "1-zk-SNARKs-intro":{}, 3 | "2-zk-SNARKs-info" :{}, 4 | "3-zk-SNARKs-use-in-solidity":{} 5 | } -------------------------------------------------------------------------------- /pnpm-lock.yaml: -------------------------------------------------------------------------------- 1 | lockfileVersion: '9.0' 2 | 3 | settings: 4 | autoInstallPeers: true 5 | excludeLinksFromLockfile: false 6 | 7 | importers: 8 | 9 | .: 10 | dependencies: 11 | next: 12 | specifier: ^13.0.6 13 | version: 13.0.6(react-dom@18.2.0)(react@18.2.0) 14 | nextra: 15 | 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-------------------------------------------------------------------------------- 1 | module.exports = { 2 | plugins: { 3 | tailwindcss: {}, 4 | autoprefixer: {}, 5 | }, 6 | } 7 | -------------------------------------------------------------------------------- /public/2023-08-24-02-30-39.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/nishuzumi/blog/HEAD/public/2023-08-24-02-30-39.png -------------------------------------------------------------------------------- /public/2023-08-25-00-00-26.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/nishuzumi/blog/HEAD/public/2023-08-25-00-00-26.png -------------------------------------------------------------------------------- /public/2023-08-31-18-10-30.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/nishuzumi/blog/HEAD/public/2023-08-31-18-10-30.png -------------------------------------------------------------------------------- /sources/readme.md: -------------------------------------------------------------------------------- 1 | 用于存放 contracts 等仓库代码 2 | 3 | zk —— zk 教程用代码 4 | -------------------------------------------------------------------------------- /sources/zk/.gitignore: -------------------------------------------------------------------------------- 1 | node_modules 2 | .env 3 | coverage 4 | coverage.json 5 | typechain 6 | typechain-types 7 | 8 | #Hardhat files 9 | cache 10 | artifacts 11 | 12 | -------------------------------------------------------------------------------- /sources/zk/README.md: -------------------------------------------------------------------------------- 1 | # Sample Hardhat Project 2 | 3 | This project demonstrates a basic Hardhat use case. It comes with a sample contract, a test for that contract, and a script that deploys that contract. 4 | 5 | Try running some of the following tasks: 6 | 7 | ```shell 8 | npx hardhat help 9 | npx hardhat test 10 | REPORT_GAS=true npx hardhat test 11 | npx hardhat node 12 | npx hardhat run scripts/deploy.ts 13 | ``` 14 | -------------------------------------------------------------------------------- /sources/zk/contracts/master.sol: -------------------------------------------------------------------------------- 1 | // SPDX-License-Identifier: MIT 2 | pragma solidity ^0.8.0; 3 | 4 | import {Verifier} from "./verifier.sol"; 5 | 6 | contract Master { 7 | event Despoit(uint256 commitment, uint amount); 8 | 9 | mapping(uint => uint) public proofs; 10 | 11 | Verifier v; 12 | 13 | constructor() { 14 | v = new Verifier(); 15 | } 16 | 17 | function deposit(uint commitment) public payable { 18 | proofs[commitment] = msg.value; 19 | emit Despoit(commitment, msg.value); 20 | } 21 | 22 | function withdraw( 23 | uint commitment, 24 | Verifier.Proof memory proof, 25 | uint[9] memory inputs 26 | ) public { 27 | uint amount = inputs[0]; 28 | require(v.verifyTx(proof, inputs)); 29 | require(proofs[commitment] == amount); 30 | 31 | payable(msg.sender).transfer(amount); 32 | } 33 | } 34 | -------------------------------------------------------------------------------- /sources/zk/contracts/verifier.sol: -------------------------------------------------------------------------------- 1 | // SPDX-License-Identifier: LGPL-3.0-only 2 | pragma solidity ^0.8.0; 3 | 4 | /** 5 | * @title Elliptic curve operations on twist points for alt_bn128 6 | * @author Mustafa Al-Bassam (mus@musalbas.com) 7 | * @dev Homepage: https://github.com/musalbas/solidity-BN256G2 8 | */ 9 | 10 | library BN256G2 { 11 | uint256 internal constant FIELD_MODULUS = 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47; 12 | uint256 internal constant TWISTBX = 0x2b149d40ceb8aaae81be18991be06ac3b5b4c5e559dbefa33267e6dc24a138e5; 13 | uint256 internal constant TWISTBY = 0x9713b03af0fed4cd2cafadeed8fdf4a74fa084e52d1852e4a2bd0685c315d2; 14 | uint internal constant PTXX = 0; 15 | uint internal constant PTXY = 1; 16 | uint internal constant PTYX = 2; 17 | uint internal constant PTYY = 3; 18 | uint internal constant PTZX = 4; 19 | uint internal constant PTZY = 5; 20 | 21 | /** 22 | * @notice Add two twist points 23 | * @param pt1xx Coefficient 1 of x on point 1 24 | * @param pt1xy Coefficient 2 of x on point 1 25 | * @param pt1yx Coefficient 1 of y on point 1 26 | * @param pt1yy Coefficient 2 of y on point 1 27 | * @param pt2xx Coefficient 1 of x on point 2 28 | * @param pt2xy Coefficient 2 of x on point 2 29 | * @param pt2yx Coefficient 1 of y on point 2 30 | * @param pt2yy Coefficient 2 of y on point 2 31 | * @return (pt3xx, pt3xy, pt3yx, pt3yy) 32 | */ 33 | function ECTwistAdd( 34 | uint256 pt1xx, uint256 pt1xy, 35 | uint256 pt1yx, uint256 pt1yy, 36 | uint256 pt2xx, uint256 pt2xy, 37 | uint256 pt2yx, uint256 pt2yy 38 | ) public view returns ( 39 | uint256, uint256, 40 | uint256, uint256 41 | ) { 42 | if ( 43 | pt1xx == 0 && pt1xy == 0 && 44 | pt1yx == 0 && pt1yy == 0 45 | ) { 46 | if (!( 47 | pt2xx == 0 && pt2xy == 0 && 48 | pt2yx == 0 && pt2yy == 0 49 | )) { 50 | assert(_isOnCurve( 51 | pt2xx, pt2xy, 52 | pt2yx, pt2yy 53 | )); 54 | } 55 | return ( 56 | pt2xx, pt2xy, 57 | pt2yx, pt2yy 58 | ); 59 | } else if ( 60 | pt2xx == 0 && pt2xy == 0 && 61 | pt2yx == 0 && pt2yy == 0 62 | ) { 63 | assert(_isOnCurve( 64 | pt1xx, pt1xy, 65 | pt1yx, pt1yy 66 | )); 67 | return ( 68 | pt1xx, pt1xy, 69 | pt1yx, pt1yy 70 | ); 71 | } 72 | 73 | assert(_isOnCurve( 74 | pt1xx, pt1xy, 75 | pt1yx, pt1yy 76 | )); 77 | assert(_isOnCurve( 78 | pt2xx, pt2xy, 79 | pt2yx, pt2yy 80 | )); 81 | 82 | uint256[6] memory pt3 = _ECTwistAddJacobian( 83 | pt1xx, pt1xy, 84 | pt1yx, pt1yy, 85 | 1, 0, 86 | pt2xx, pt2xy, 87 | pt2yx, pt2yy, 88 | 1, 0 89 | ); 90 | 91 | return _fromJacobian( 92 | pt3[PTXX], pt3[PTXY], 93 | pt3[PTYX], pt3[PTYY], 94 | pt3[PTZX], pt3[PTZY] 95 | ); 96 | } 97 | 98 | /** 99 | * @notice Multiply a twist point by a scalar 100 | * @param s Scalar to multiply by 101 | * @param pt1xx Coefficient 1 of x 102 | * @param pt1xy Coefficient 2 of x 103 | * @param pt1yx Coefficient 1 of y 104 | * @param pt1yy Coefficient 2 of y 105 | * @return (pt2xx, pt2xy, pt2yx, pt2yy) 106 | */ 107 | function ECTwistMul( 108 | uint256 s, 109 | uint256 pt1xx, uint256 pt1xy, 110 | uint256 pt1yx, uint256 pt1yy 111 | ) public view returns ( 112 | uint256, uint256, 113 | uint256, uint256 114 | ) { 115 | uint256 pt1zx = 1; 116 | if ( 117 | pt1xx == 0 && pt1xy == 0 && 118 | pt1yx == 0 && pt1yy == 0 119 | ) { 120 | pt1xx = 1; 121 | pt1yx = 1; 122 | pt1zx = 0; 123 | } else { 124 | assert(_isOnCurve( 125 | pt1xx, pt1xy, 126 | pt1yx, pt1yy 127 | )); 128 | } 129 | 130 | uint256[6] memory pt2 = _ECTwistMulJacobian( 131 | s, 132 | pt1xx, pt1xy, 133 | pt1yx, pt1yy, 134 | pt1zx, 0 135 | ); 136 | 137 | return _fromJacobian( 138 | pt2[PTXX], pt2[PTXY], 139 | pt2[PTYX], pt2[PTYY], 140 | pt2[PTZX], pt2[PTZY] 141 | ); 142 | } 143 | 144 | /** 145 | * @notice Get the field modulus 146 | * @return The field modulus 147 | */ 148 | function GetFieldModulus() public pure returns (uint256) { 149 | return FIELD_MODULUS; 150 | } 151 | 152 | function submod(uint256 a, uint256 b, uint256 n) internal pure returns (uint256) { 153 | return addmod(a, n - b, n); 154 | } 155 | 156 | function _FQ2Mul( 157 | uint256 xx, uint256 xy, 158 | uint256 yx, uint256 yy 159 | ) internal pure returns (uint256, uint256) { 160 | return ( 161 | submod(mulmod(xx, yx, FIELD_MODULUS), mulmod(xy, yy, FIELD_MODULUS), FIELD_MODULUS), 162 | addmod(mulmod(xx, yy, FIELD_MODULUS), mulmod(xy, yx, FIELD_MODULUS), FIELD_MODULUS) 163 | ); 164 | } 165 | 166 | function _FQ2Muc( 167 | uint256 xx, uint256 xy, 168 | uint256 c 169 | ) internal pure returns (uint256, uint256) { 170 | return ( 171 | mulmod(xx, c, FIELD_MODULUS), 172 | mulmod(xy, c, FIELD_MODULUS) 173 | ); 174 | } 175 | 176 | function _FQ2Add( 177 | uint256 xx, uint256 xy, 178 | uint256 yx, uint256 yy 179 | ) internal pure returns (uint256, uint256) { 180 | return ( 181 | addmod(xx, yx, FIELD_MODULUS), 182 | addmod(xy, yy, FIELD_MODULUS) 183 | ); 184 | } 185 | 186 | function _FQ2Sub( 187 | uint256 xx, uint256 xy, 188 | uint256 yx, uint256 yy 189 | ) internal pure returns (uint256 rx, uint256 ry) { 190 | return ( 191 | submod(xx, yx, FIELD_MODULUS), 192 | submod(xy, yy, FIELD_MODULUS) 193 | ); 194 | } 195 | 196 | function _FQ2Div( 197 | uint256 xx, uint256 xy, 198 | uint256 yx, uint256 yy 199 | ) internal view returns (uint256, uint256) { 200 | (yx, yy) = _FQ2Inv(yx, yy); 201 | return _FQ2Mul(xx, xy, yx, yy); 202 | } 203 | 204 | function _FQ2Inv(uint256 x, uint256 y) internal view returns (uint256, uint256) { 205 | uint256 inv = _modInv(addmod(mulmod(y, y, FIELD_MODULUS), mulmod(x, x, FIELD_MODULUS), FIELD_MODULUS), FIELD_MODULUS); 206 | return ( 207 | mulmod(x, inv, FIELD_MODULUS), 208 | FIELD_MODULUS - mulmod(y, inv, FIELD_MODULUS) 209 | ); 210 | } 211 | 212 | function _isOnCurve( 213 | uint256 xx, uint256 xy, 214 | uint256 yx, uint256 yy 215 | ) internal pure returns (bool) { 216 | uint256 yyx; 217 | uint256 yyy; 218 | uint256 xxxx; 219 | uint256 xxxy; 220 | (yyx, yyy) = _FQ2Mul(yx, yy, yx, yy); 221 | (xxxx, xxxy) = _FQ2Mul(xx, xy, xx, xy); 222 | (xxxx, xxxy) = _FQ2Mul(xxxx, xxxy, xx, xy); 223 | (yyx, yyy) = _FQ2Sub(yyx, yyy, xxxx, xxxy); 224 | (yyx, yyy) = _FQ2Sub(yyx, yyy, TWISTBX, TWISTBY); 225 | return yyx == 0 && yyy == 0; 226 | } 227 | 228 | function _modInv(uint256 a, uint256 n) internal view returns (uint256 result) { 229 | bool success; 230 | assembly { 231 | let freemem := mload(0x40) 232 | mstore(freemem, 0x20) 233 | mstore(add(freemem,0x20), 0x20) 234 | mstore(add(freemem,0x40), 0x20) 235 | mstore(add(freemem,0x60), a) 236 | mstore(add(freemem,0x80), sub(n, 2)) 237 | mstore(add(freemem,0xA0), n) 238 | success := staticcall(sub(gas(), 2000), 5, freemem, 0xC0, freemem, 0x20) 239 | result := mload(freemem) 240 | } 241 | require(success); 242 | } 243 | 244 | function _fromJacobian( 245 | uint256 pt1xx, uint256 pt1xy, 246 | uint256 pt1yx, uint256 pt1yy, 247 | uint256 pt1zx, uint256 pt1zy 248 | ) internal view returns ( 249 | uint256 pt2xx, uint256 pt2xy, 250 | uint256 pt2yx, uint256 pt2yy 251 | ) { 252 | uint256 invzx; 253 | uint256 invzy; 254 | (invzx, invzy) = _FQ2Inv(pt1zx, pt1zy); 255 | (pt2xx, pt2xy) = _FQ2Mul(pt1xx, pt1xy, invzx, invzy); 256 | (pt2yx, pt2yy) = _FQ2Mul(pt1yx, pt1yy, invzx, invzy); 257 | } 258 | 259 | function _ECTwistAddJacobian( 260 | uint256 pt1xx, uint256 pt1xy, 261 | uint256 pt1yx, uint256 pt1yy, 262 | uint256 pt1zx, uint256 pt1zy, 263 | uint256 pt2xx, uint256 pt2xy, 264 | uint256 pt2yx, uint256 pt2yy, 265 | uint256 pt2zx, uint256 pt2zy) internal pure returns (uint256[6] memory pt3) { 266 | if (pt1zx == 0 && pt1zy == 0) { 267 | ( 268 | pt3[PTXX], pt3[PTXY], 269 | pt3[PTYX], pt3[PTYY], 270 | pt3[PTZX], pt3[PTZY] 271 | ) = ( 272 | pt2xx, pt2xy, 273 | pt2yx, pt2yy, 274 | pt2zx, pt2zy 275 | ); 276 | return pt3; 277 | } else if (pt2zx == 0 && pt2zy == 0) { 278 | ( 279 | pt3[PTXX], pt3[PTXY], 280 | pt3[PTYX], pt3[PTYY], 281 | pt3[PTZX], pt3[PTZY] 282 | ) = ( 283 | pt1xx, pt1xy, 284 | pt1yx, pt1yy, 285 | pt1zx, pt1zy 286 | ); 287 | return pt3; 288 | } 289 | 290 | (pt2yx, pt2yy) = _FQ2Mul(pt2yx, pt2yy, pt1zx, pt1zy); // U1 = y2 * z1 291 | (pt3[PTYX], pt3[PTYY]) = _FQ2Mul(pt1yx, pt1yy, pt2zx, pt2zy); // U2 = y1 * z2 292 | (pt2xx, pt2xy) = _FQ2Mul(pt2xx, pt2xy, pt1zx, pt1zy); // V1 = x2 * z1 293 | (pt3[PTZX], pt3[PTZY]) = _FQ2Mul(pt1xx, pt1xy, pt2zx, pt2zy); // V2 = x1 * z2 294 | 295 | if (pt2xx == pt3[PTZX] && pt2xy == pt3[PTZY]) { 296 | if (pt2yx == pt3[PTYX] && pt2yy == pt3[PTYY]) { 297 | ( 298 | pt3[PTXX], pt3[PTXY], 299 | pt3[PTYX], pt3[PTYY], 300 | pt3[PTZX], pt3[PTZY] 301 | ) = _ECTwistDoubleJacobian(pt1xx, pt1xy, pt1yx, pt1yy, pt1zx, pt1zy); 302 | return pt3; 303 | } 304 | ( 305 | pt3[PTXX], pt3[PTXY], 306 | pt3[PTYX], pt3[PTYY], 307 | pt3[PTZX], pt3[PTZY] 308 | ) = ( 309 | 1, 0, 310 | 1, 0, 311 | 0, 0 312 | ); 313 | return pt3; 314 | } 315 | 316 | (pt2zx, pt2zy) = _FQ2Mul(pt1zx, pt1zy, pt2zx, pt2zy); // W = z1 * z2 317 | (pt1xx, pt1xy) = _FQ2Sub(pt2yx, pt2yy, pt3[PTYX], pt3[PTYY]); // U = U1 - U2 318 | (pt1yx, pt1yy) = _FQ2Sub(pt2xx, pt2xy, pt3[PTZX], pt3[PTZY]); // V = V1 - V2 319 | (pt1zx, pt1zy) = _FQ2Mul(pt1yx, pt1yy, pt1yx, pt1yy); // V_squared = V * V 320 | (pt2yx, pt2yy) = _FQ2Mul(pt1zx, pt1zy, pt3[PTZX], pt3[PTZY]); // V_squared_times_V2 = V_squared * V2 321 | (pt1zx, pt1zy) = _FQ2Mul(pt1zx, pt1zy, pt1yx, pt1yy); // V_cubed = V * V_squared 322 | (pt3[PTZX], pt3[PTZY]) = _FQ2Mul(pt1zx, pt1zy, pt2zx, pt2zy); // newz = V_cubed * W 323 | (pt2xx, pt2xy) = _FQ2Mul(pt1xx, pt1xy, pt1xx, pt1xy); // U * U 324 | (pt2xx, pt2xy) = _FQ2Mul(pt2xx, pt2xy, pt2zx, pt2zy); // U * U * W 325 | (pt2xx, pt2xy) = _FQ2Sub(pt2xx, pt2xy, pt1zx, pt1zy); // U * U * W - V_cubed 326 | (pt2zx, pt2zy) = _FQ2Muc(pt2yx, pt2yy, 2); // 2 * V_squared_times_V2 327 | (pt2xx, pt2xy) = _FQ2Sub(pt2xx, pt2xy, pt2zx, pt2zy); // A = U * U * W - V_cubed - 2 * V_squared_times_V2 328 | (pt3[PTXX], pt3[PTXY]) = _FQ2Mul(pt1yx, pt1yy, pt2xx, pt2xy); // newx = V * A 329 | (pt1yx, pt1yy) = _FQ2Sub(pt2yx, pt2yy, pt2xx, pt2xy); // V_squared_times_V2 - A 330 | (pt1yx, pt1yy) = _FQ2Mul(pt1xx, pt1xy, pt1yx, pt1yy); // U * (V_squared_times_V2 - A) 331 | (pt1xx, pt1xy) = _FQ2Mul(pt1zx, pt1zy, pt3[PTYX], pt3[PTYY]); // V_cubed * U2 332 | (pt3[PTYX], pt3[PTYY]) = _FQ2Sub(pt1yx, pt1yy, pt1xx, pt1xy); // newy = U * (V_squared_times_V2 - A) - V_cubed * U2 333 | } 334 | 335 | function _ECTwistDoubleJacobian( 336 | uint256 pt1xx, uint256 pt1xy, 337 | uint256 pt1yx, uint256 pt1yy, 338 | uint256 pt1zx, uint256 pt1zy 339 | ) internal pure returns ( 340 | uint256 pt2xx, uint256 pt2xy, 341 | uint256 pt2yx, uint256 pt2yy, 342 | uint256 pt2zx, uint256 pt2zy 343 | ) { 344 | (pt2xx, pt2xy) = _FQ2Muc(pt1xx, pt1xy, 3); // 3 * x 345 | (pt2xx, pt2xy) = _FQ2Mul(pt2xx, pt2xy, pt1xx, pt1xy); // W = 3 * x * x 346 | (pt1zx, pt1zy) = _FQ2Mul(pt1yx, pt1yy, pt1zx, pt1zy); // S = y * z 347 | (pt2yx, pt2yy) = _FQ2Mul(pt1xx, pt1xy, pt1yx, pt1yy); // x * y 348 | (pt2yx, pt2yy) = _FQ2Mul(pt2yx, pt2yy, pt1zx, pt1zy); // B = x * y * S 349 | (pt1xx, pt1xy) = _FQ2Mul(pt2xx, pt2xy, pt2xx, pt2xy); // W * W 350 | (pt2zx, pt2zy) = _FQ2Muc(pt2yx, pt2yy, 8); // 8 * B 351 | (pt1xx, pt1xy) = _FQ2Sub(pt1xx, pt1xy, pt2zx, pt2zy); // H = W * W - 8 * B 352 | (pt2zx, pt2zy) = _FQ2Mul(pt1zx, pt1zy, pt1zx, pt1zy); // S_squared = S * S 353 | (pt2yx, pt2yy) = _FQ2Muc(pt2yx, pt2yy, 4); // 4 * B 354 | (pt2yx, pt2yy) = _FQ2Sub(pt2yx, pt2yy, pt1xx, pt1xy); // 4 * B - H 355 | (pt2yx, pt2yy) = _FQ2Mul(pt2yx, pt2yy, pt2xx, pt2xy); // W * (4 * B - H) 356 | (pt2xx, pt2xy) = _FQ2Muc(pt1yx, pt1yy, 8); // 8 * y 357 | (pt2xx, pt2xy) = _FQ2Mul(pt2xx, pt2xy, pt1yx, pt1yy); // 8 * y * y 358 | (pt2xx, pt2xy) = _FQ2Mul(pt2xx, pt2xy, pt2zx, pt2zy); // 8 * y * y * S_squared 359 | (pt2yx, pt2yy) = _FQ2Sub(pt2yx, pt2yy, pt2xx, pt2xy); // newy = W * (4 * B - H) - 8 * y * y * S_squared 360 | (pt2xx, pt2xy) = _FQ2Muc(pt1xx, pt1xy, 2); // 2 * H 361 | (pt2xx, pt2xy) = _FQ2Mul(pt2xx, pt2xy, pt1zx, pt1zy); // newx = 2 * H * S 362 | (pt2zx, pt2zy) = _FQ2Mul(pt1zx, pt1zy, pt2zx, pt2zy); // S * S_squared 363 | (pt2zx, pt2zy) = _FQ2Muc(pt2zx, pt2zy, 8); // newz = 8 * S * S_squared 364 | } 365 | 366 | function _ECTwistMulJacobian( 367 | uint256 d, 368 | uint256 pt1xx, uint256 pt1xy, 369 | uint256 pt1yx, uint256 pt1yy, 370 | uint256 pt1zx, uint256 pt1zy 371 | ) internal pure returns (uint256[6] memory pt2) { 372 | while (d != 0) { 373 | if ((d & 1) != 0) { 374 | pt2 = _ECTwistAddJacobian( 375 | pt2[PTXX], pt2[PTXY], 376 | pt2[PTYX], pt2[PTYY], 377 | pt2[PTZX], pt2[PTZY], 378 | pt1xx, pt1xy, 379 | pt1yx, pt1yy, 380 | pt1zx, pt1zy); 381 | } 382 | ( 383 | pt1xx, pt1xy, 384 | pt1yx, pt1yy, 385 | pt1zx, pt1zy 386 | ) = _ECTwistDoubleJacobian( 387 | pt1xx, pt1xy, 388 | pt1yx, pt1yy, 389 | pt1zx, pt1zy 390 | ); 391 | 392 | d = d / 2; 393 | } 394 | } 395 | } 396 | // This file is MIT Licensed. 397 | // 398 | // Copyright 2017 Christian Reitwiessner 399 | // Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: 400 | // The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. 401 | // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. 402 | 403 | library Pairing { 404 | struct G1Point { 405 | uint X; 406 | uint Y; 407 | } 408 | // Encoding of field elements is: X[0] * z + X[1] 409 | struct G2Point { 410 | uint[2] X; 411 | uint[2] Y; 412 | } 413 | /// @return the generator of G1 414 | function P1() pure internal returns (G1Point memory) { 415 | return G1Point(1, 2); 416 | } 417 | /// @return the generator of G2 418 | function P2() pure internal returns (G2Point memory) { 419 | return G2Point( 420 | [10857046999023057135944570762232829481370756359578518086990519993285655852781, 421 | 11559732032986387107991004021392285783925812861821192530917403151452391805634], 422 | [8495653923123431417604973247489272438418190587263600148770280649306958101930, 423 | 4082367875863433681332203403145435568316851327593401208105741076214120093531] 424 | ); 425 | } 426 | /// @return the negation of p, i.e. p.addition(p.negate()) should be zero. 427 | function negate(G1Point memory p) pure internal returns (G1Point memory) { 428 | // The prime q in the base field F_q for G1 429 | uint q = 21888242871839275222246405745257275088696311157297823662689037894645226208583; 430 | if (p.X == 0 && p.Y == 0) 431 | return G1Point(0, 0); 432 | return G1Point(p.X, q - (p.Y % q)); 433 | } 434 | /// @return r the sum of two points of G1 435 | function addition(G1Point memory p1, G1Point memory p2) internal view returns (G1Point memory r) { 436 | uint[4] memory input; 437 | input[0] = p1.X; 438 | input[1] = p1.Y; 439 | input[2] = p2.X; 440 | input[3] = p2.Y; 441 | bool success; 442 | assembly { 443 | success := staticcall(sub(gas(), 2000), 6, input, 0xc0, r, 0x60) 444 | // Use "invalid" to make gas estimation work 445 | switch success case 0 { invalid() } 446 | } 447 | require(success); 448 | } 449 | 450 | 451 | /// @return r the sum of two points of G2 452 | function addition(G2Point memory p1, G2Point memory p2) internal view returns (G2Point memory r) { 453 | (r.X[0], r.X[1], r.Y[0], r.Y[1]) = BN256G2.ECTwistAdd(p1.X[0],p1.X[1],p1.Y[0],p1.Y[1],p2.X[0],p2.X[1],p2.Y[0],p2.Y[1]); 454 | } 455 | 456 | 457 | /// @return r the product of a point on G1 and a scalar, i.e. 458 | /// p == p.scalar_mul(1) and p.addition(p) == p.scalar_mul(2) for all points p. 459 | function scalar_mul(G1Point memory p, uint s) internal view returns (G1Point memory r) { 460 | uint[3] memory input; 461 | input[0] = p.X; 462 | input[1] = p.Y; 463 | input[2] = s; 464 | bool success; 465 | assembly { 466 | success := staticcall(sub(gas(), 2000), 7, input, 0x80, r, 0x60) 467 | // Use "invalid" to make gas estimation work 468 | switch success case 0 { invalid() } 469 | } 470 | require (success); 471 | } 472 | /// @return the result of computing the pairing check 473 | /// e(p1[0], p2[0]) * .... * e(p1[n], p2[n]) == 1 474 | /// For example pairing([P1(), P1().negate()], [P2(), P2()]) should 475 | /// return true. 476 | function pairing(G1Point[] memory p1, G2Point[] memory p2) internal view returns (bool) { 477 | require(p1.length == p2.length); 478 | uint elements = p1.length; 479 | uint inputSize = elements * 6; 480 | uint[] memory input = new uint[](inputSize); 481 | for (uint i = 0; i < elements; i++) 482 | { 483 | input[i * 6 + 0] = p1[i].X; 484 | input[i * 6 + 1] = p1[i].Y; 485 | input[i * 6 + 2] = p2[i].X[1]; 486 | input[i * 6 + 3] = p2[i].X[0]; 487 | input[i * 6 + 4] = p2[i].Y[1]; 488 | input[i * 6 + 5] = p2[i].Y[0]; 489 | } 490 | uint[1] memory out; 491 | bool success; 492 | assembly { 493 | success := staticcall(sub(gas(), 2000), 8, add(input, 0x20), mul(inputSize, 0x20), out, 0x20) 494 | // Use "invalid" to make gas estimation work 495 | switch success case 0 { invalid() } 496 | } 497 | require(success); 498 | return out[0] != 0; 499 | } 500 | /// Convenience method for a pairing check for two pairs. 501 | function pairingProd2(G1Point memory a1, G2Point memory a2, G1Point memory b1, G2Point memory b2) internal view returns (bool) { 502 | G1Point[] memory p1 = new G1Point[](2); 503 | G2Point[] memory p2 = new G2Point[](2); 504 | p1[0] = a1; 505 | p1[1] = b1; 506 | p2[0] = a2; 507 | p2[1] = b2; 508 | return pairing(p1, p2); 509 | } 510 | /// Convenience method for a pairing check for three pairs. 511 | function pairingProd3( 512 | G1Point memory a1, G2Point memory a2, 513 | G1Point memory b1, G2Point memory b2, 514 | G1Point memory c1, G2Point memory c2 515 | ) internal view returns (bool) { 516 | G1Point[] memory p1 = new G1Point[](3); 517 | G2Point[] memory p2 = new G2Point[](3); 518 | p1[0] = a1; 519 | p1[1] = b1; 520 | p1[2] = c1; 521 | p2[0] = a2; 522 | p2[1] = b2; 523 | p2[2] = c2; 524 | return pairing(p1, p2); 525 | } 526 | /// Convenience method for a pairing check for four pairs. 527 | function pairingProd4( 528 | G1Point memory a1, G2Point memory a2, 529 | G1Point memory b1, G2Point memory b2, 530 | G1Point memory c1, G2Point memory c2, 531 | G1Point memory d1, G2Point memory d2 532 | ) internal view returns (bool) { 533 | G1Point[] memory p1 = new G1Point[](4); 534 | G2Point[] memory p2 = new G2Point[](4); 535 | p1[0] = a1; 536 | p1[1] = b1; 537 | p1[2] = c1; 538 | p1[3] = d1; 539 | p2[0] = a2; 540 | p2[1] = b2; 541 | p2[2] = c2; 542 | p2[3] = d2; 543 | return pairing(p1, p2); 544 | } 545 | } 546 | 547 | contract Verifier { 548 | using Pairing for *; 549 | struct VerifyingKey { 550 | Pairing.G2Point h; 551 | Pairing.G1Point g_alpha; 552 | Pairing.G2Point h_beta; 553 | Pairing.G1Point g_gamma; 554 | Pairing.G2Point h_gamma; 555 | Pairing.G1Point[] query; 556 | } 557 | struct Proof { 558 | Pairing.G1Point a; 559 | Pairing.G2Point b; 560 | Pairing.G1Point c; 561 | } 562 | function verifyingKey() pure internal returns (VerifyingKey memory vk) { 563 | vk.h= Pairing.G2Point([uint256(0x052f6d551c292af5839a17b48560ccc26a13c8afe06d052d018659e5af208b7c), uint256(0x199b9e1b80889d9e0f34c19d4583cea80c5ab4443e44c0eb2c20aa476b8242a9)], [uint256(0x0710d972dfb67510e174bc9e8dc8ee92c32d116886989403fcb436d7744f7e93), uint256(0x2d316a218f66e3c109bebe0977c7dce799f32c96ba466e5ed3d6a5595d7a1cee)]); 564 | vk.g_alpha = Pairing.G1Point(uint256(0x007d622529cae0ede1b6d47220be1aa7e3eaa6a411876e10474670530f0ead5e), uint256(0x20759f0b508aaa59367290123502d6b1f4ac9b79c30390e01c27cb5888b4f654)); 565 | vk.h_beta = Pairing.G2Point([uint256(0x2ae3cddf0644841615ea88c37c842c0453726b097e8199abdb422ba37b3da76f), uint256(0x19a13e4fd10eb3fcc40cdecf4c252eac62f530a41d3d5258107029c4284b32fb)], [uint256(0x2c18b03f3facfff359059d7768a7e05cdd935e138398f3f46db977de502dfb62), uint256(0x293949d189148c142d2fbd8500cbd117091e79e554876d75fcda6b83bc1abf0a)]); 566 | vk.g_gamma = Pairing.G1Point(uint256(0x1b25a7980e7464aafc15c4cdea1d1681f9e7f6f09c7858b1b9f74c260328832b), uint256(0x1f179761cb7db872d21bb79bb2861ac6376cab386f5f29410d7329d50066a936)); 567 | vk.h_gamma = Pairing.G2Point([uint256(0x052f6d551c292af5839a17b48560ccc26a13c8afe06d052d018659e5af208b7c), uint256(0x199b9e1b80889d9e0f34c19d4583cea80c5ab4443e44c0eb2c20aa476b8242a9)], [uint256(0x0710d972dfb67510e174bc9e8dc8ee92c32d116886989403fcb436d7744f7e93), uint256(0x2d316a218f66e3c109bebe0977c7dce799f32c96ba466e5ed3d6a5595d7a1cee)]); 568 | vk.query = new Pairing.G1Point[](10); 569 | vk.query[0] = Pairing.G1Point(uint256(0x26f33e6bdb65847214bddf2125032fd01a2b0d3e6b54ed44ce6c10575aa239bd), uint256(0x205f6940fb76063144d3f2bba040a64be6f88e694ae52f190e58363370b59119)); 570 | vk.query[1] = Pairing.G1Point(uint256(0x1f0555d3d1a746b8ed44ff828ca6efea721edd25aae37b31d975b939c0ebfd3e), uint256(0x29ae78fe19a8360540643626488a2c18f6af48cec366ceb32882c363fae20950)); 571 | vk.query[2] = Pairing.G1Point(uint256(0x2ac91afbbcb0f05c90c7e48a2097247cb9e408b7d02a30950f9282e141e9ff9e), uint256(0x2a37ccd4413e5cffda7f73b19fe303575df1b2a9e7869395a8498ae284fc2e19)); 572 | vk.query[3] = Pairing.G1Point(uint256(0x03fce0c74a2e351905e49ec649546dba62d2f598885b88dccdf7743523bed875), uint256(0x08566668adaefc7d7157ec6fa201ab9e05954e22b248292d51f6d97f147e4158)); 573 | vk.query[4] = Pairing.G1Point(uint256(0x06a37dc1f6eceff90bfc47d7d1a84e7cc757cb211249e0a486d44c2a6a51c3de), uint256(0x0b3e008cccc17e3bfa06284b6f1cbf1f67f46538ebfa6264ed260edeeb69f354)); 574 | vk.query[5] = Pairing.G1Point(uint256(0x07c76bcc8101df58bd32ea34432892c0d75d4ba7d4a40836d40b897fbdb4a714), uint256(0x284f5cd8279eb6bb963f98d74a4eea4c87414023c3d69e9d6701cc0c2e8cf0bf)); 575 | vk.query[6] = Pairing.G1Point(uint256(0x06ba14ce5053eb68fcb0d05411f653fa9fe0fd99b7e2a52b06f1332f4917f260), uint256(0x15dbe842fc42006c2b43ed405995143b2ec68693326a2177e977bbc420c04e9f)); 576 | vk.query[7] = Pairing.G1Point(uint256(0x13b9efc46d5ca316206f7e50f82148235a0179c8c22b13fc28d0ae780ed7d58a), uint256(0x01d71a7aa55424f791982e6dfa886bb632d93d7728e6189771eea6e799f477b7)); 577 | vk.query[8] = Pairing.G1Point(uint256(0x2169a2d87f0aee29058d470ff6643fe76a042b6dac01b3ec6ea4a082aa6d68ed), uint256(0x25cce33ca9728bd84e48b09876e26e80945b02920965c8d9a2a790724e98989a)); 578 | vk.query[9] = Pairing.G1Point(uint256(0x0f110f8d946356e8db0882527b5bf6b3eaea881de1cbacffdaec40e0488eb67b), uint256(0x1f24b10abdcac6c6b2c980968264a33c3d334f2e0ae0a8b8c88ecd462676a4ed)); 579 | } 580 | function verify(uint[] memory input, Proof memory proof) internal view returns (uint) { 581 | uint256 snark_scalar_field = 21888242871839275222246405745257275088548364400416034343698204186575808495617; 582 | VerifyingKey memory vk = verifyingKey(); 583 | require(input.length + 1 == vk.query.length); 584 | // Compute the linear combination vk_x 585 | Pairing.G1Point memory vk_x = Pairing.G1Point(0, 0); 586 | for (uint i = 0; i < input.length; i++) { 587 | require(input[i] < snark_scalar_field); 588 | vk_x = Pairing.addition(vk_x, Pairing.scalar_mul(vk.query[i + 1], input[i])); 589 | } 590 | vk_x = Pairing.addition(vk_x, vk.query[0]); 591 | /** 592 | * e(A*G^{alpha}, B*H^{beta}) = e(G^{alpha}, H^{beta}) * e(G^{psi}, H^{gamma}) 593 | * * e(C, H) 594 | * where psi = \sum_{i=0}^l input_i pvk.query[i] 595 | */ 596 | if (!Pairing.pairingProd4(vk.g_alpha, vk.h_beta, vk_x, vk.h_gamma, proof.c, vk.h, Pairing.negate(Pairing.addition(proof.a, vk.g_alpha)), Pairing.addition(proof.b, vk.h_beta))) return 1; 597 | /** 598 | * e(A, H^{gamma}) = e(G^{gamma}, B) 599 | */ 600 | if (!Pairing.pairingProd2(proof.a, vk.h_gamma, Pairing.negate(vk.g_gamma), proof.b)) return 2; 601 | return 0; 602 | } 603 | function verifyTx( 604 | Proof memory proof, uint[9] memory input 605 | ) public view returns (bool r) { 606 | uint[] memory inputValues = new uint[](9); 607 | 608 | for(uint i = 0; i < input.length; i++){ 609 | inputValues[i] = input[i]; 610 | } 611 | if (verify(inputValues, proof) == 0) { 612 | return true; 613 | } else { 614 | return false; 615 | } 616 | } 617 | } 618 | -------------------------------------------------------------------------------- /sources/zk/hardhat.config.ts: -------------------------------------------------------------------------------- 1 | import { HardhatUserConfig } from "hardhat/config"; 2 | import "@nomicfoundation/hardhat-toolbox"; 3 | import "hardhat-tracer"; 4 | 5 | const config: HardhatUserConfig = { 6 | solidity: "0.8.14", 7 | }; 8 | 9 | export default config; 10 | -------------------------------------------------------------------------------- /sources/zk/package.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "hardhat-project", 3 | "devDependencies": { 4 | "@nomicfoundation/hardhat-toolbox": "^2.0.0", 5 | "hardhat": "^2.11.2" 6 | }, 7 | "dependencies": { 8 | "@nomicfoundation/hardhat-chai-matchers": "^1.0.0", 9 | "@nomicfoundation/hardhat-network-helpers": "^1.0.0", 10 | "@nomiclabs/hardhat-ethers": "^2.0.0", 11 | "@nomiclabs/hardhat-etherscan": "^3.0.0", 12 | "@typechain/ethers-v5": "^10.1.0", 13 | "@typechain/hardhat": "^6.1.2", 14 | "@types/chai": "^4.2.0", 15 | "@types/mocha": ">=9.1.0", 16 | "chai": "^4.2.0", 17 | "hardhat-gas-reporter": "^1.0.8", 18 | "hardhat-tracer": "^2.6.0", 19 | "solidity-coverage": "^0.8.1", 20 | "ts-node": "^10.9.1", 21 | "typechain": "^8.1.0", 22 | "typescript": "^5.2.2", 23 | "zokrates-js": "^1.1.8" 24 | } 25 | } 26 | -------------------------------------------------------------------------------- /sources/zk/scripts/deploy.ts: -------------------------------------------------------------------------------- 1 | import { ethers } from "hardhat"; 2 | 3 | async function main() { 4 | const currentTimestampInSeconds = Math.round(Date.now() / 1000); 5 | const ONE_YEAR_IN_SECS = 365 * 24 * 60 * 60; 6 | const unlockTime = currentTimestampInSeconds + ONE_YEAR_IN_SECS; 7 | 8 | const lockedAmount = ethers.utils.parseEther("1"); 9 | 10 | const Lock = await ethers.getContractFactory("Lock"); 11 | const lock = await Lock.deploy(unlockTime, { value: lockedAmount }); 12 | 13 | await lock.deployed(); 14 | 15 | console.log(`Lock with 1 ETH and unlock timestamp ${unlockTime} deployed to ${lock.address}`); 16 | } 17 | 18 | // We recommend this pattern to be able to use async/await everywhere 19 | // and properly handle errors. 20 | main().catch((error) => { 21 | console.error(error); 22 | process.exitCode = 1; 23 | }); 24 | -------------------------------------------------------------------------------- /sources/zk/test/verifier.test.ts: -------------------------------------------------------------------------------- 1 | import { expect } from "chai"; 2 | import { ethers } from "hardhat"; 3 | import { Verifier } from "../typechain-types/Verifier"; 4 | import { CompilationArtifacts, ZoKratesProvider } from "zokrates-js"; 5 | import { readFileSync } from "fs"; 6 | import { Master } from "../typechain-types"; 7 | import { resolve } from 'path' 8 | 9 | describe("Verifier", function () { 10 | let master: Master; 11 | let zokratesProvider: ZoKratesProvider 12 | 13 | const zokArtifacts: CompilationArtifacts = { 14 | program: readFileSync(resolve(__dirname, '../zok/out')), 15 | abi: JSON.parse(readFileSync(resolve(__dirname, '../zok/abi.json'), 'utf-8')) 16 | } 17 | 18 | const provingKey = readFileSync(resolve(__dirname, '../zok/proving.key')) 19 | 20 | beforeEach(async () => { 21 | const { initialize } = await import("zokrates-js"); 22 | zokratesProvider = (await initialize()).withOptions({ 23 | backend: 'ark', 24 | curve: 'bn128', 25 | scheme: 'gm17' 26 | }); 27 | 28 | const bn256 = await ethers.getContractFactory("BN256G2").then((f) => f.deploy()); 29 | 30 | master = await ethers.getContractFactory("Master", { 31 | libraries: { 32 | "contracts/verifier.sol:BN256G2": bn256.address, 33 | } 34 | }).then((f) => f.deploy()); 35 | }) 36 | 37 | it("should verify a proof", async () => { 38 | const { witness, output } = zokratesProvider.computeWitness( 39 | zokArtifacts, 40 | [`${ethers.constants.WeiPerEther}`, '23'], 41 | ) 42 | 43 | const commitment = hexListToUint256BigEndian(JSON.parse(output)).toString(); 44 | 45 | await master.deposit( 46 | commitment, 47 | { value: ethers.constants.WeiPerEther } 48 | ) 49 | 50 | const proof = zokratesProvider.generateProof( 51 | zokArtifacts.program, 52 | witness, 53 | provingKey); 54 | 55 | 56 | const sender = (await ethers.getSigners())[0]; 57 | expect(() => master.connect(sender). 58 | withdraw(commitment, proof.proof as Verifier.ProofStruct, proof.inputs) 59 | ).to.changeEtherBalance(sender, ethers.constants.WeiPerEther); 60 | }) 61 | }); 62 | 63 | 64 | function hexListToUint256BigEndian(hexList: string[]) { 65 | let uint256Data = "0x"; 66 | for (const hex of hexList) { 67 | const cleanedHex = hex.replace("0x", ""); 68 | uint256Data += cleanedHex; 69 | } 70 | const uint256BigNumber = ethers.BigNumber.from(uint256Data); 71 | return uint256BigNumber; 72 | } -------------------------------------------------------------------------------- /sources/zk/tsconfig.json: -------------------------------------------------------------------------------- 1 | { 2 | "compilerOptions": { 3 | "target": "es2020", 4 | "module": "node16", 5 | "esModuleInterop": true, 6 | "allowJs": true, 7 | "allowSyntheticDefaultImports": true, 8 | "forceConsistentCasingInFileNames": true, 9 | "strict": true, 10 | "skipLibCheck": true 11 | }, 12 | "include": ["**/*.ts"] 13 | } 14 | -------------------------------------------------------------------------------- /sources/zk/zok/abi.json: -------------------------------------------------------------------------------- 1 | { 2 | "inputs": [ 3 | { 4 | "name": "deposit_amount", 5 | "public": true, 6 | "type": "field" 7 | }, 8 | { 9 | "name": "secret", 10 | "public": false, 11 | "type": "field" 12 | } 13 | ], 14 | "output": { 15 | "type": "array", 16 | "components": { 17 | "size": 8, 18 | "type": "u32" 19 | } 20 | } 21 | } -------------------------------------------------------------------------------- /sources/zk/zok/deposit.zok: -------------------------------------------------------------------------------- 1 | import "hashes/sha256/512bit" as sha256; 2 | import "utils/pack/u32/nonStrictUnpack256" as unpack256; 3 | 4 | // deposit_amount: 存款金额 5 | // secret: 随机数 6 | // returns: 用于取款的commitment 7 | def main(field deposit_amount, private field secret) -> u32[8] { 8 | return sha256(unpack256(deposit_amount), unpack256(secret)); 9 | } -------------------------------------------------------------------------------- /sources/zk/zok/out: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/nishuzumi/blog/HEAD/sources/zk/zok/out -------------------------------------------------------------------------------- /sources/zk/zok/out.r1cs: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/nishuzumi/blog/HEAD/sources/zk/zok/out.r1cs -------------------------------------------------------------------------------- /sources/zk/zok/out.wtns: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/nishuzumi/blog/HEAD/sources/zk/zok/out.wtns -------------------------------------------------------------------------------- /sources/zk/zok/proof.json: -------------------------------------------------------------------------------- 1 | { 2 | "scheme": "gm17", 3 | "curve": "bn128", 4 | "proof": { 5 | "a": [ 6 | "0x05a83e3c3b3ff9d59bdffdcf7aa655f42b941b0063f82cf26516846056d09aa6", 7 | "0x018039b7de92979ef6251c877971888ae049d09a6b48e5aa98c23ef91550ed36" 8 | ], 9 | "b": [ 10 | [ 11 | "0x1e88e783456a27e4f02dde8c742610339e395eb0bbf7f7efc1113815dcf0a16f", 12 | "0x1cc9de9e60c6519ea69c9b3a71c0809ac7ae3389a598d66fc27d378738d5de29" 13 | ], 14 | [ 15 | "0x0715544abbc18e741620ff7c76cb2a7d3558ee157d23f275ab65c43c25357d07", 16 | "0x0344257236ba33a3ce7ce34b8d518f7572984036db6f77fc2fc13f51c548a837" 17 | ] 18 | ], 19 | "c": [ 20 | "0x177113e528c76661a03a8f3f072f29e684244297a62926a0000d3a7135c1441f", 21 | "0x18cf275d0bc621473688848946584af771afca42e4f2bd0ef1e5d06e0adefd0f" 22 | ] 23 | }, 24 | "inputs": [ 25 | "0x0000000000000000000000000000000000000000000000000000000000000151", 26 | "0x00000000000000000000000000000000000000000000000000000000bb3eada7", 27 | "0x000000000000000000000000000000000000000000000000000000004b704815", 28 | "0x00000000000000000000000000000000000000000000000000000000cddda451", 29 | "0x00000000000000000000000000000000000000000000000000000000ca701d2a", 30 | "0x000000000000000000000000000000000000000000000000000000001f278e64", 31 | "0x00000000000000000000000000000000000000000000000000000000ef16f074", 32 | "0x0000000000000000000000000000000000000000000000000000000040e13298", 33 | "0x0000000000000000000000000000000000000000000000000000000026c5da72" 34 | ] 35 | } -------------------------------------------------------------------------------- /sources/zk/zok/proving.key: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/nishuzumi/blog/HEAD/sources/zk/zok/proving.key -------------------------------------------------------------------------------- /sources/zk/zok/verification.key: -------------------------------------------------------------------------------- 1 | { 2 | "scheme": "gm17", 3 | "curve": "bn128", 4 | "h": [ 5 | [ 6 | "0x052f6d551c292af5839a17b48560ccc26a13c8afe06d052d018659e5af208b7c", 7 | "0x199b9e1b80889d9e0f34c19d4583cea80c5ab4443e44c0eb2c20aa476b8242a9" 8 | ], 9 | [ 10 | "0x0710d972dfb67510e174bc9e8dc8ee92c32d116886989403fcb436d7744f7e93", 11 | "0x2d316a218f66e3c109bebe0977c7dce799f32c96ba466e5ed3d6a5595d7a1cee" 12 | ] 13 | ], 14 | "g_alpha": [ 15 | 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-------------------------------------------------------------------------------- https://raw.githubusercontent.com/nishuzumi/blog/HEAD/sources/zk/zok/witness -------------------------------------------------------------------------------- /style.css: -------------------------------------------------------------------------------- 1 | @tailwind base; 2 | @tailwind components; 3 | @tailwind utilities; 4 | 5 | body { 6 | font-feature-settings: "rlig" 1, "calt" 1; 7 | } 8 | 9 | .home-content p { 10 | margin-top: 1.5em; 11 | line-height: 1.75em; 12 | } 13 | 14 | .home-content a { 15 | --tw-ring-color: hsl(var(--nextra-primary-hue) 100% 50%/0.3); 16 | --tw-text-opacity: 1; 17 | text-underline-position: under; 18 | text-decoration-line: underline; 19 | text-decoration-thickness: from-font; 20 | color: hsl(var(--nextra-primary-hue) 100% 50% / var(--tw-text-opacity)); 21 | } 22 | 23 | figcaption { 24 | font-size: 0.85rem; 25 | line-height: 1.5rem; 26 | display: block; 27 | text-align: center; 28 | margin-top: 0.5rem; 29 | } 30 | 31 | code.text-\[\.9em\] { 32 | font-size: 14px; 33 | } 34 | 35 | @media screen and (max-width: 1200px) { 36 | .home-content .hide-medium { 37 | display: none; 38 | } 39 | } 40 | 41 | @media screen and (max-width: 720px) { 42 | .home-content p { 43 | font-size: 0.9rem; 44 | } 45 | .home-content .hide-small { 46 | display: none; 47 | } 48 | } 49 | 50 | /* Mermaid */ 51 | svg[aria-roledescription="sequence"] { 52 | @apply rounded-lg p-4; 53 | background: linear-gradient(135deg, rgb(102, 126, 234), rgb(118, 75, 162)); 54 | } 55 | 56 | svg[aria-roledescription="sequence"] line { 57 | stroke: black !important; 58 | } 59 | 60 | text.actor { 61 | @apply text-base; 62 | } 63 | 64 | text.actor > tspan { 65 | fill: #ececff !important; 66 | } 67 | 68 | .actor { 69 | fill: #22272e !important; 70 | stroke: none !important; 71 | } 72 | 73 | .messageText { 74 | fill: white !important; 75 | stroke: none; 76 | } 77 | 78 | .messageLine0 { 79 | stroke: white !important; 80 | } 81 | 82 | .actor-line { 83 | stroke: grey; 84 | } 85 | 86 | /* End Mermaid */ 87 | -------------------------------------------------------------------------------- /tailwind.config.js: -------------------------------------------------------------------------------- 1 | /** @type {import('tailwindcss').Config} */ 2 | module.exports = { 3 | content: [ 4 | "./pages/**/*.{js,jsx,ts,tsx,md,mdx}", 5 | "./components/**/*.{js,jsx,ts,tsx,md,mdx}", 6 | "./theme.config.tsx", 7 | ], 8 | theme: { 9 | extend: {}, 10 | }, 11 | plugins: [], 12 | }; 13 | -------------------------------------------------------------------------------- /theme.config.tsx: -------------------------------------------------------------------------------- 1 | import React from "react"; 2 | import { DocsThemeConfig, Link } from "nextra-theme-docs"; 3 | import { Preamble } from "components/preamble"; 4 | 5 | const config: DocsThemeConfig = { 6 | logo: ByteMahou, 7 | project: { 8 | link: "https://github.com/nishuzumi/blog", 9 | }, 10 | chat: { 11 | link: "https://t.me/BoxMrChen", 12 | }, 13 | docsRepositoryBase: "https://github.com/nishuzumi/blog/tree/main", 14 | footer: { 15 | text: ( 16 |
17 |
18 | 简约的字节魔法 19 |
20 |
21 | 22 | Made by Box With 23 | ❤️ 24 | 25 |
26 |
27 | ), 28 | }, 29 | useNextSeoProps() { 30 | return { 31 | titleTemplate: "%s - ByteMahou", 32 | }; 33 | }, 34 | editLink: { 35 | text: "修正此文章", 36 | }, 37 | feedback: { 38 | content: "有疑问？请在此提出你的问题。", 39 | }, 40 | components: { 41 | Preamble, 42 | }, 43 | toc: { 44 | title: "目录", 45 | }, 46 | head: ( 47 | <> 48 | 49 | 50 | 51 | 52 | ), 53 | }; 54 | 55 | export default config; 56 | -------------------------------------------------------------------------------- /tsconfig.json: -------------------------------------------------------------------------------- 1 | { 2 | "compilerOptions": { 3 | "target": "ES2021", 4 | "baseUrl": ".", 5 | "lib": ["dom", "dom.iterable", "esnext"], 6 | "allowJs": true, 7 | "skipLibCheck": true, 8 | "strict": false, 9 | "forceConsistentCasingInFileNames": true, 10 | "noEmit": true, 11 | "incremental": true, 12 | "esModuleInterop": true, 13 | "module": "esnext", 14 | "moduleResolution": "node", 15 | "resolveJsonModule": true, 16 | "isolatedModules": true, 17 | "jsx": "preserve" 18 | }, 19 | "include": ["next-env.d.ts", "**/*.ts", "**/*.tsx"], 20 | "exclude": ["node_modules", "sources"] 21 | } 22 | --------------------------------------------------------------------------------