feat: add google oauth

Merge branch 'main' of https://code.texpixel.com/YogeLiu/doc_ai_frontend
feat: rm dist
2026-03-06 14:30:30 +08:00 · 2026-02-06 22:33:58 +08:00 · 2026-02-05 18:23:17 +08:00 · 2026-02-05 18:22:30 +08:00 · 2026-02-05 13:49:19 +08:00 · 2026-01-27 23:44:45 +08:00
37 changed files with 4481 additions and 421 deletions
--- a/.gitignore
+++ b/.gitignore
@@ -22,3 +22,4 @@ dist-ssr
 *.sw?
 .env
 /dist
+app.cloud/
--- a/deploy_dev.sh
+++ b/deploy_dev.sh
@@ -0,0 +1,203 @@
+#!/bin/bash
+
+# Document AI Frontend 部署脚本
+# 功能：构建项目并部署到 ubuntu 服务器
+
+set -e  # 遇到错误立即退出
+
+# 颜色定义
+RED='\033[0;31m'
+GREEN='\033[0;32m'
+YELLOW='\033[1;33m'
+BLUE='\033[0;34m'
+NC='\033[0m' # No Color
+
+# 服务器配置
+ubuntu_HOST="ubuntu"
+DEPLOY_PATH="/var/www"
+DEPLOY_NAME="app.cloud"
+# Sudo 密码（如果需要，建议配置无密码 sudo 更安全）
+# 配置无密码 sudo: 在服务器上运行: echo "username ALL=(ALL) NOPASSWD: ALL" | sudo tee /etc/sudoers.d/username
+SUDO_PASSWORD="1231"
+
+# 打印带颜色的消息
+print_info() {
+    echo -e "${BLUE}[INFO]${NC} $1"
+}
+
+print_success() {
+    echo -e "${GREEN}[SUCCESS]${NC} $1"
+}
+
+print_warning() {
+    echo -e "${YELLOW}[WARNING]${NC} $1"
+}
+
+print_error() {
+    echo -e "${RED}[ERROR]${NC} $1"
+}
+
+# 检查命令是否存在
+check_command() {
+    if ! command -v $1 &> /dev/null; then
+        print_error "$1 命令未找到，请先安装"
+        exit 1
+    fi
+}
+
+# 部署到服务器
+deploy_to_server() {
+    local server=$1
+    print_info "开始部署到 ${server}..."
+    
+    # 上传构建产物（app.cloud 目录）
+    print_info "上传 ${DEPLOY_NAME} 目录到 ${server}..."
+    scp_output=$(scp -r ${DEPLOY_NAME} ${server}:~ 2>&1)
+    scp_exit_code=$?
+    if [ $scp_exit_code -eq 0 ]; then
+        print_success "文件上传成功"
+    else
+        print_error "文件上传失败，请检查 SSH 连接和权限"
+        echo "$scp_output" | sed 's/^/  /'
+        return 1
+    fi
+    
+    # SSH 执行部署操作
+    print_info "在 ${server} 上执行部署操作..."
+    print_info "部署路径: ${DEPLOY_PATH}/${DEPLOY_NAME}"
+    # 注意：密码通过环境变量传递，避免在命令行中暴露
+    ssh_output=$(ssh "${server}" "SSH_SUDO_PASSWORD='${SUDO_PASSWORD}' SSH_DEPLOY_PATH='${DEPLOY_PATH}' SSH_DEPLOY_NAME='${DEPLOY_NAME}' bash -s" << 'SSH_EOF'
+        set -e
+        DEPLOY_PATH="${SSH_DEPLOY_PATH}"
+        DEPLOY_NAME="${SSH_DEPLOY_NAME}"
+        SUDO_PASSWORD="${SSH_SUDO_PASSWORD}"
+        
+        # 检查部署目录是否存在
+        if [ ! -d "${DEPLOY_PATH}" ]; then
+            echo "错误：部署目录 ${DEPLOY_PATH} 不存在，请检查路径是否正确"
+            exit 1
+        fi
+        
+        # 检查是否有权限写入（尝试创建测试文件）
+        if ! touch "${DEPLOY_PATH}/.deploy_test" 2>/dev/null; then
+            echo "提示：没有直接写入权限，将使用 sudo 执行操作"
+            USE_SUDO=1
+        else
+            rm -f "${DEPLOY_PATH}/.deploy_test"
+            USE_SUDO=0
+        fi
+        
+        # 备份旧版本（如果存在）
+        if [ -d "${DEPLOY_PATH}/${DEPLOY_NAME}" ]; then
+            echo "备份旧版本..."
+            if [ "$USE_SUDO" = "1" ]; then
+                echo "${SUDO_PASSWORD}" | sudo -S rm -rf "${DEPLOY_PATH}/${DEPLOY_NAME}_bak" 2>/dev/null || true
+                echo "${SUDO_PASSWORD}" | sudo -S mv "${DEPLOY_PATH}/${DEPLOY_NAME}" "${DEPLOY_PATH}/${DEPLOY_NAME}_bak" || { echo "错误：备份失败，权限不足"; exit 1; }
+            else
+                rm -rf "${DEPLOY_PATH}/${DEPLOY_NAME}_bak" 2>/dev/null || true
+                mv "${DEPLOY_PATH}/${DEPLOY_NAME}" "${DEPLOY_PATH}/${DEPLOY_NAME}_bak" || { echo "错误：备份失败"; exit 1; }
+            fi
+        fi
+        
+        # 移动新版本到部署目录（覆盖现有目录）
+        if [ -d ~/${DEPLOY_NAME} ]; then
+            echo "移动新版本到部署目录..."
+            if [ "$USE_SUDO" = "1" ]; then
+                echo "${SUDO_PASSWORD}" | sudo -S mv ~/${DEPLOY_NAME} "${DEPLOY_PATH}/" || { echo "错误：移动文件失败，权限不足"; exit 1; }
+            else
+                mv ~/${DEPLOY_NAME} "${DEPLOY_PATH}/" || { echo "错误：移动文件失败"; exit 1; }
+            fi
+            echo "部署完成！"
+        else
+            echo "错误：找不到 ~/${DEPLOY_NAME} 目录"
+            exit 1
+        fi
+        
+        # 重新加载 nginx（如果配置了）
+        if command -v nginx &> /dev/null; then
+            echo "重新加载 nginx..."
+            echo "${SUDO_PASSWORD}" | sudo -S nginx -t && echo "${SUDO_PASSWORD}" | sudo -S nginx -s reload || echo "警告：nginx 重新加载失败，请手动检查"
+        fi
+SSH_EOF
+    )
+    
+    ssh_exit_code=$?
+    
+    # 显示 SSH 输出
+    if [ -n "$ssh_output" ]; then
+        echo "$ssh_output" | sed 's/^/  /'
+    fi
+    
+    if [ $ssh_exit_code -eq 0 ]; then
+        print_success "${server} 部署成功！"
+    else
+        print_error "${server} 部署失败！"
+        print_error "请检查："
+        print_error "  1. SSH 连接是否正常"
+        print_error "  2. 部署目录 ${DEPLOY_PATH} 是否存在"
+        print_error "  3. 是否有 sudo 权限（如果需要）"
+        print_error "  4. 上传的文件 ~/${DEPLOY_NAME} 是否存在"
+        return 1
+    fi
+}
+
+# 主函数
+main() {
+    print_info "=========================================="
+    print_info "Document AI Frontend 部署脚本"
+    print_info "=========================================="
+    echo ""
+    
+    # 检查必要的命令
+    print_info "检查环境..."
+    check_command "npm"
+    check_command "scp"
+    check_command "ssh"
+    
+    # 步骤1: 构建项目
+    print_info "步骤 1/2: 构建项目（测试环境）..."
+    if npm run build:dev; then
+        print_success "构建完成！"
+    else
+        print_error "构建失败！"
+        exit 1
+    fi
+    echo ""
+    
+    # 检查 dist 目录是否存在
+    if [ ! -d "dist" ]; then
+        print_error "dist 目录不存在，构建可能失败"
+        exit 1
+    fi
+    
+    # 重命名 dist 为 app.cloud
+    print_info "重命名 dist 为 ${DEPLOY_NAME}..."
+    if [ -d "${DEPLOY_NAME}" ]; then
+        rm -rf "${DEPLOY_NAME}"
+    fi
+    mv dist "${DEPLOY_NAME}"
+    print_success "重命名完成"
+    echo ""
+    
+    # 步骤2: 部署到 ubuntu
+    print_info "步骤 2/2: 部署到 ubuntu..."
+    if deploy_to_server ${ubuntu_HOST}; then
+        print_success "ubuntu 部署完成"
+    else
+        print_error "ubuntu 部署失败"
+        exit 1
+    fi
+    echo ""
+    
+    # 完成
+    print_info "清理临时文件..."
+    # 可以选择是否删除本地的 app.cloud 目录
+    # rm -rf ${DEPLOY_NAME}
+    
+    print_success "=========================================="
+    print_success "部署完成！"
+    print_success "=========================================="
+}
+
+# 运行主函数
+main
--- a/deploy_prod.sh
+++ b/deploy_prod.sh
@@ -106,8 +106,8 @@ main() {
    check_command "ssh"
    
    # 步骤1: 构建项目
-    print_info "步骤 1/2: 构建项目..."
-    if npm run build; then
+    print_info "步骤 1/2: 构建项目（生产环境）..."
+    if npm run build:prod; then
        print_success "构建完成！"
    else
        print_error "构建失败！"
--- a/docs/MULTILANG_IMPLEMENTATION.md
+++ b/docs/MULTILANG_IMPLEMENTATION.md
@@ -0,0 +1,140 @@
+# 多语言功能实现总结
+
+## 📋 实现内容
+
+### 1. HTML 文档改进 (`index.html`)
+- ✅ 添加 `hreflang` 标签支持多语言 SEO
+- ✅ 添加双语 meta 标签（description, keywords）
+- ✅ 添加 Open Graph 和 Twitter Cards 多语言支持
+- ✅ 添加动态语言检测脚本
+- ✅ 优化 `og:locale` 和 `og:locale:alternate` 标签
+
+### 2. SEO 辅助工具 (`src/lib/seoHelper.ts`)
+- ✅ 创建 `updatePageMeta()` 函数动态更新 meta 标签
+- ✅ 创建 `getSEOContent()` 函数获取语言特定的 SEO 内容
+- ✅ 支持更新标题、描述、关键词、OG 标签等
+
+### 3. 语言上下文增强 (`src/contexts/LanguageContext.tsx`)
+- ✅ 集成 `updatePageMeta()` 在语言切换时自动更新页面
+- ✅ 在初始加载时根据用户偏好更新 meta 标签
+- ✅ 在 IP 检测后更新 meta 标签
+
+### 4. 文档和测试
+- ✅ 创建详细的多语言支持文档 (`MULTILANG_README.md`)
+- ✅ 创建浏览器测试脚本 (`test-multilang.js`)
+- ✅ 包含最佳实践和使用示例
+
+## 🎯 功能特性
+
+### 自动语言检测优先级
+1. 用户在 localStorage 中保存的选择（最高优先级）
+2. IP 地理位置检测
+3. 浏览器语言设置（回退）
+
+### SEO 优化
+- **搜索引擎**: 完整的 hreflang 支持
+- **社交媒体**: Open Graph 和 Twitter Cards
+- **元数据**: 动态更新标题、描述、关键词
+
+### 用户体验
+- 一键语言切换（在导航栏）
+- 无刷新页面更新
+- 保持用户选择跨会话
+
+## 📝 使用示例
+
+### 切换语言
+```typescript
+import { useLanguage } from './contexts/LanguageContext';
+
+function Component() {
+  const { language, setLanguage, t } = useLanguage();
+  
+  return (
+    <button onClick={() => setLanguage('en')}>
+      {t.common.switchLanguage}
+    </button>
+  );
+}
+```
+
+### 添加新翻译
+在 `src/lib/translations.ts` 中:
+```typescript
+export const translations = {
+  en: {
+    newFeature: {
+      title: 'New Feature',
+    }
+  },
+  zh: {
+    newFeature: {
+      title: '新功能',
+    }
+  }
+};
+```
+
+### 更新 SEO 内容
+在 `src/lib/seoHelper.ts` 中:
+```typescript
+const seoContent: Record<Language, SEOContent> = {
+  en: {
+    title: 'Your English Title',
+    description: 'Your English description',
+    keywords: 'english, keywords',
+  },
+  zh: {
+    title: '您的中文标题',
+    description: '您的中文描述',
+    keywords: '中文,关键词',
+  },
+};
+```
+
+## 🧪 测试清单
+
+- [ ] 页面首次加载时语言检测正确
+- [ ] 切换语言时标题更新
+- [ ] 切换语言时 meta 标签更新
+- [ ] HTML lang 属性同步更新
+- [ ] localStorage 正确保存用户选择
+- [ ] 所有 UI 文本正确翻译
+- [ ] Open Graph 预览正确显示（使用 [Facebook Sharing Debugger](https://developers.facebook.com/tools/debug/)）
+- [ ] Twitter Card 预览正确显示（使用 [Twitter Card Validator](https://cards-dev.twitter.com/validator)）
+
+## 🚀 部署注意事项
+
+### 服务器配置
+如果使用基于 URL 的语言路由（如 `/en`, `/zh`），需要配置服务器重写规则：
+
+**Nginx 示例**:
+```nginx
+location ~ ^/(en|zh) {
+    try_files $uri $uri/ /index.html;
+}
+```
+
+**Apache 示例**:
+```apache
+RewriteEngine On
+RewriteRule ^(en|zh)/ /index.html [L]
+```
+
+### CDN 缓存
+确保 CDN 不会缓存带有错误语言的页面：
+- 使用 `Vary: Accept-Language` 头
+- 或在 URL 中包含语言参数
+
+## 🔗 相关资源
+
+- [Google 国际化指南](https://developers.google.com/search/docs/specialty/international/localized-versions)
+- [Open Graph Protocol](https://ogp.me/)
+- [Twitter Cards 文档](https://developer.twitter.com/en/docs/twitter-for-websites/cards/overview/abouts-cards)
+- [hreflang 最佳实践](https://support.google.com/webmasters/answer/189077)
+
+## 📞 支持
+
+如有问题或建议，请联系：
+- Email: yogecoder@gmail.com
+- QQ 群: 1018282100
--- a/docs/MULTILANG_README.md
+++ b/docs/MULTILANG_README.md
@@ -0,0 +1,174 @@
+# 多语言支持说明 / Multi-language Support
+
+## 概述 / Overview
+
+TexPixel 现在支持完整的中英文双语切换，包括：
+- 动态页面标题和 meta 标签更新
+- SEO 优化的多语言支持
+- 智能语言检测（基于 IP 和浏览器偏好）
+
+TexPixel now supports complete bilingual switching between Chinese and English, including:
+- Dynamic page title and meta tag updates
+- SEO-optimized multi-language support
+- Intelligent language detection (based on IP and browser preferences)
+
+---
+
+## 功能特性 / Features
+
+### 1. 自动语言检测 / Automatic Language Detection
+
+应用会按以下优先级检测用户语言：
+1. localStorage 中保存的用户选择
+2. IP 地理位置检测
+3. 浏览器语言设置
+
+The app detects user language in the following order of priority:
+1. User's saved preference in localStorage
+2. IP geolocation detection
+3. Browser language settings
+
+### 2. SEO 优化 / SEO Optimization
+
+- **hreflang 标签**：告知搜索引擎不同语言版本的页面
+- **多语言 meta 标签**：description、keywords、og:locale 等
+- **动态标题更新**：切换语言时自动更新页面标题
+
+Features include:
+- **hreflang tags**: Inform search engines about different language versions
+- **Multilingual meta tags**: description, keywords, og:locale, etc.
+- **Dynamic title updates**: Automatically update page title when switching languages
+
+### 3. Open Graph 和 Twitter Cards
+
+支持社交媒体分享的多语言 meta 标签：
+- Facebook (Open Graph)
+- Twitter Cards
+- 其他支持 OG 协议的平台
+
+Multilingual meta tags for social media sharing:
+- Facebook (Open Graph)
+- Twitter Cards
+- Other platforms supporting OG protocol
+
+---
+
+## 技术实现 / Technical Implementation
+
+### 文件结构 / File Structure
+
+```
+src/
+├── lib/
+│   ├── seoHelper.ts          # SEO 元数据管理 / SEO metadata management
+│   ├── translations.ts        # 翻译文本 / Translation texts
+│   └── ipLocation.ts          # IP 定位 / IP location detection
+├── contexts/
+│   └── LanguageContext.tsx    # 语言上下文 / Language context
+└── components/
+    └── Navbar.tsx             # 语言切换器 / Language switcher
+```
+
+### 核心函数 / Core Functions
+
+#### `updatePageMeta(language: Language)`
+更新页面的所有 SEO 相关元数据，包括：
+- document.title
+- HTML lang 属性
+- meta description
+- meta keywords
+- Open Graph 标签
+- Twitter Card 标签
+
+Updates all SEO-related metadata on the page, including:
+- document.title
+- HTML lang attribute
+- meta description
+- meta keywords
+- Open Graph tags
+- Twitter Card tags
+
+#### `getSEOContent(language: Language)`
+获取指定语言的 SEO 内容（标题、描述、关键词）
+
+Get SEO content for a specific language (title, description, keywords)
+
+---
+
+## 使用方法 / Usage
+
+### 在组件中使用语言功能 / Using Language Features in Components
+
+```typescript
+import { useLanguage } from '../contexts/LanguageContext';
+
+function MyComponent() {
+  const { language, setLanguage, t } = useLanguage();
+  
+  return (
+    <div>
+      <h1>{t.common.title}</h1>
+      <button onClick={() => setLanguage('en')}>English</button>
+      <button onClick={() => setLanguage('zh')}>中文</button>
+    </div>
+  );
+}
+```
+
+### 添加新的翻译文本 / Adding New Translation Texts
+
+在 `src/lib/translations.ts` 中添加：
+
+```typescript
+export const translations = {
+  en: {
+    myFeature: {
+      title: 'My Feature',
+      description: 'Feature description',
+    }
+  },
+  zh: {
+    myFeature: {
+      title: '我的功能',
+      description: '功能描述',
+    }
+  }
+};
+```
+
+---
+
+## 最佳实践 / Best Practices
+
+1. **始终提供双语内容** / Always provide bilingual content
+   - 确保所有用户可见的文本都有中英文翻译
+   - Ensure all user-visible text has Chinese and English translations
+
+2. **保持 SEO 元数据最新** / Keep SEO metadata up-to-date
+   - 在 `seoHelper.ts` 中维护准确的页面描述和关键词
+   - Maintain accurate page descriptions and keywords in `seoHelper.ts`
+
+3. **测试语言切换** / Test language switching
+   - 确保切换语言时页面标题和 meta 标签正确更新
+   - Ensure page title and meta tags update correctly when switching languages
+
+4. **考虑 RTL 语言** / Consider RTL languages
+   - 虽然目前只支持中英文，但代码架构支持未来添加其他语言
+   - While currently supporting only Chinese and English, the architecture supports adding other languages in the future
+
+---
+
+## 路线图 / Roadmap
+
+- [ ] 添加更多语言支持（日语、韩语等）/ Add more language support (Japanese, Korean, etc.)
+- [ ] 实现 URL 路由多语言 (/en, /zh) / Implement URL routing for languages
+- [ ] 服务端渲染 (SSR) 支持 / Server-side rendering (SSR) support
+- [ ] 语言特定的日期和数字格式化 / Language-specific date and number formatting
+
+---
+
+## 相关链接 / Related Links
+
+- [hreflang 标签最佳实践](https://developers.google.com/search/docs/specialty/international/localized-versions)
+- [Open Graph Protocol](https://ogp.me/)
+- [Twitter Cards Documentation](https://developer.twitter.com/en/docs/twitter-for-websites/cards/overview/abouts-cards)
--- a/e2e/auth-email.spec.ts
+++ b/e2e/auth-email.spec.ts
@@ -0,0 +1,57 @@
+import { expect, test } from '@playwright/test';
+
+const jwtPayload = Buffer.from(
+  JSON.stringify({ user_id: 7, email: 'user@example.com', exp: 1999999999, iat: 1111111 })
+)
+  .toString('base64')
+  .replace(/\+/g, '-')
+  .replace(/\//g, '_')
+  .replace(/=+$/g, '');
+
+const token = `header.${jwtPayload}.sig`;
+
+test('email login should authenticate and display user email', async ({ page }) => {
+  await page.route('**/user/login', async (route) => {
+    await route.fulfill({
+      status: 200,
+      contentType: 'application/json',
+      body: JSON.stringify({
+        request_id: 'req_login',
+        code: 200,
+        message: 'ok',
+        data: {
+          token,
+          expires_at: 1999999999,
+        },
+      }),
+    });
+  });
+
+  await page.route('**/task/list**', async (route) => {
+    await route.fulfill({
+      status: 200,
+      contentType: 'application/json',
+      body: JSON.stringify({
+        request_id: 'req_tasks',
+        code: 200,
+        message: 'ok',
+        data: {
+          task_list: [],
+          total: 0,
+        },
+      }),
+    });
+  });
+
+  await page.goto('/');
+
+  const loginButton = page.getByRole('button', { name: /Login|登录/ }).first();
+  await loginButton.click();
+
+  await page.fill('#auth-email', 'user@example.com');
+  await page.fill('#auth-password', '123456');
+
+  await page.locator('button[type="submit"]').click();
+
+  await expect(page.getByText('user@example.com')).toBeVisible();
+});
--- a/e2e/auth-oauth.spec.ts
+++ b/e2e/auth-oauth.spec.ts
@@ -0,0 +1,80 @@
+import { expect, test } from '@playwright/test';
+
+const jwtPayload = Buffer.from(
+  JSON.stringify({ user_id: 9, email: 'oauth@example.com', exp: 1999999999, iat: 1111111 })
+)
+  .toString('base64')
+  .replace(/\+/g, '-')
+  .replace(/\//g, '_')
+  .replace(/=+$/g, '');
+
+const token = `header.${jwtPayload}.sig`;
+
+test('google oauth callback with valid state should complete login', async ({ page }) => {
+  await page.route('**/user/oauth/google/url**', async (route, request) => {
+    const url = new URL(request.url());
+    const state = url.searchParams.get('state') ?? '';
+
+    await route.fulfill({
+      status: 200,
+      contentType: 'application/json',
+      body: JSON.stringify({
+        request_id: 'req_oauth_url',
+        code: 200,
+        message: 'ok',
+        data: {
+          auth_url: `http://127.0.0.1:4173/auth/google/callback?code=oauth_code&state=${state}`,
+        },
+      }),
+    });
+  });
+
+  await page.route('**/user/oauth/google/callback', async (route) => {
+    await route.fulfill({
+      status: 200,
+      contentType: 'application/json',
+      body: JSON.stringify({
+        request_id: 'req_oauth_callback',
+        code: 200,
+        message: 'ok',
+        data: {
+          token,
+          expires_at: 1999999999,
+        },
+      }),
+    });
+  });
+
+  await page.route('**/task/list**', async (route) => {
+    await route.fulfill({
+      status: 200,
+      contentType: 'application/json',
+      body: JSON.stringify({
+        request_id: 'req_tasks',
+        code: 200,
+        message: 'ok',
+        data: {
+          task_list: [],
+          total: 0,
+        },
+      }),
+    });
+  });
+
+  await page.goto('/');
+  await page.getByRole('button', { name: /Login|登录/ }).first().click();
+  await page.getByRole('button', { name: /Google/ }).click();
+
+  await expect(page.getByText('oauth@example.com')).toBeVisible();
+});
+
+test('google oauth callback with invalid state should show error', async ({ page }) => {
+  await page.goto('/');
+
+  await page.evaluate(() => {
+    sessionStorage.setItem('texpixel_oauth_state', 'expected_state');
+  });
+
+  await page.goto('/auth/google/callback?code=fake_code&state=wrong_state');
+  await expect(page.getByText('OAuth state 校验失败')).toBeVisible();
+});
--- a/index.html
+++ b/index.html
@@ -1,35 +1,62 @@
 <!doctype html>
-<html lang="en">
+<html lang="zh-CN">

 <head>
  <meta charset="UTF-8" />
  <link rel="icon" type="image/svg+xml" href="/vite.svg" />
  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-  <title>⚡️ TexPixel - 公式识别工具</title>
  
-  <!-- SEO Meta Tags -->
-  <meta name="description" content="在线公式识别工具，支持印刷体和手写体数学公式识别，快速准确地将图片中的数学公式转换为可编辑文本。" />
+  <!-- Multi-language Support -->
+  <link rel="alternate" hreflang="zh-CN" href="https://texpixel.com/" />
+  <link rel="alternate" hreflang="en" href="https://texpixel.com/en" />
+  <link rel="alternate" hreflang="x-default" href="https://texpixel.com/" />
+  
+  <!-- Dynamic Title (will be updated by app) -->
+  <title>⚡️ TexPixel - 公式识别工具 | Formula Recognition Tool</title>
+
+  <!-- SEO Meta Tags - Chinese (Default) -->
+  <meta name="description" content="在线公式识别工具，支持印刷体和手写体数学公式识别，快速准确地将图片中的数学公式转换为可编辑文本。Online formula recognition tool supporting printed and handwritten math formulas." />
  <meta name="keywords"
-    content="公式识别,数学公式,OCR,手写公式识别,印刷体识别,AI识别,数学工具,免费,handwriting,formula,recognition,ocr,handwriting,recognition,math,handwriting,free" />
+    content="公式识别,数学公式,OCR,手写公式识别,印刷体识别,AI识别,数学工具,免费,formula recognition,math formula,handwriting recognition,latex,mathml,markdown,texpixel,TexPixel,混合文字识别,document recognition" />
  <meta name="author" content="TexPixel Team" />
  <meta name="robots" content="index, follow" />

-  <!-- Open Graph Meta Tags -->
-  <meta property="og:title" content="TexPixel - 公式识别工具" />
-  <meta property="og:description" content="在线公式识别工具，支持印刷体和手写体数学公式识别，快速准确地将图片中的数学公式转换为可编辑文本。" />
+  <!-- Open Graph Meta Tags - Bilingual -->
+  <meta property="og:title" content="TexPixel - 公式识别工具 | Formula Recognition Tool" />
+  <meta property="og:description" content="在线公式识别工具，支持印刷体和手写体数学公式识别。Online formula recognition tool supporting printed and handwritten math formulas." />
  <meta property="og:type" content="website" />
  <meta property="og:url" content="https://texpixel.com/" />
  <meta property="og:image" content="https://cdn.texpixel.com/public/logo.png?x-oss-process=image/resize,w_600" />
+  <meta property="og:locale" content="zh_CN" />
+  <meta property="og:locale:alternate" content="en_US" />
+  <meta property="og:site_name" content="TexPixel" />

-  <!-- Twitter Card Meta Tags -->
+  <!-- Twitter Card Meta Tags - Bilingual -->
  <meta name="twitter:card" content="summary_large_image" />
-  <meta name="twitter:title" content="TexPixel - 公式识别工具" />
-  <meta name="twitter:description" content="在线公式识别工具，支持印刷体和手写体数学公式识别。" />
+  <meta name="twitter:title" content="TexPixel - Formula Recognition Tool | 公式识别工具" />
+  <meta name="twitter:description" content="Online formula recognition tool supporting printed and handwritten math formulas. 支持印刷体和手写体数学公式识别。" />
  <meta name="twitter:image" content="https://cdn.texpixel.com/public/logo.png?x-oss-process=image/resize,w_600" />
+  <meta name="twitter:site" content="@TexPixel" />

-  <!-- baidu -->
+  <!-- Baidu Verification -->
  <meta name="baidu-site-verification" content="codeva-8zU93DeGgH" />

+  <!-- Language Detection Script -->
+  <script>
+    // Update HTML lang attribute based on user preference or browser language
+    (function() {
+      const savedLang = localStorage.getItem('language');
+      const browserLang = navigator.language.toLowerCase();
+      const isZh = savedLang === 'zh' || (!savedLang && browserLang.startsWith('zh'));
+      document.documentElement.lang = isZh ? 'zh-CN' : 'en';
+      
+      // Update page title based on language
+      if (!isZh) {
+        document.title = '⚡️ TexPixel - Formula Recognition Tool';
+      }
+    })();
+  </script>
+
 </head>

 <body>
--- a/package-lock.json
+++ b/package-lock.json
--- a/package.json
+++ b/package.json
@@ -9,6 +9,9 @@
    "build:dev": "VITE_ENV=development vite build",
    "build:prod": "VITE_ENV=production vite build",
    "lint": "eslint .",
+    "test": "vitest run",
+    "test:watch": "vitest",
+    "test:e2e": "playwright test",
    "preview": "vite preview",
    "typecheck": "tsc --noEmit -p tsconfig.app.json"
  },
@@ -23,7 +26,9 @@
    "mathml2omml": "^0.5.0",
    "react": "^18.3.1",
    "react-dom": "^18.3.1",
+    "react-hot-toast": "^2.6.0",
    "react-markdown": "^10.1.0",
+    "react-router-dom": "^7.13.1",
    "rehype-katex": "^7.0.1",
    "remark-breaks": "^4.0.0",
    "remark-math": "^6.0.0",
@@ -32,7 +37,11 @@
  },
  "devDependencies": {
    "@eslint/js": "^9.9.1",
+    "@playwright/test": "^1.58.2",
    "@tailwindcss/typography": "^0.5.19",
+    "@testing-library/jest-dom": "^6.9.1",
+    "@testing-library/react": "^16.3.2",
+    "@testing-library/user-event": "^14.6.1",
    "@types/react": "^18.3.5",
    "@types/react-dom": "^18.3.0",
    "@vitejs/plugin-react": "^4.3.1",
@@ -41,10 +50,12 @@
    "eslint-plugin-react-hooks": "^5.1.0-rc.0",
    "eslint-plugin-react-refresh": "^0.4.11",
    "globals": "^15.9.0",
+    "jsdom": "^28.1.0",
    "postcss": "^8.4.35",
    "tailwindcss": "^3.4.1",
    "typescript": "^5.5.3",
    "typescript-eslint": "^8.3.0",
-    "vite": "^5.4.2"
+    "vite": "^5.4.2",
+    "vitest": "^4.0.18"
  }
 }
--- a/playwright.config.ts
+++ b/playwright.config.ts
@@ -0,0 +1,24 @@
+import { defineConfig, devices } from '@playwright/test';
+
+export default defineConfig({
+  testDir: './e2e',
+  fullyParallel: true,
+  retries: 0,
+  reporter: 'list',
+  use: {
+    baseURL: 'http://127.0.0.1:4173',
+    trace: 'on-first-retry',
+  },
+  webServer: {
+    command: 'npm run dev -- --host 127.0.0.1 --port 4173',
+    url: 'http://127.0.0.1:4173',
+    reuseExistingServer: true,
+    timeout: 120000,
+  },
+  projects: [
+    {
+      name: 'chromium',
+      use: { ...devices['Desktop Chrome'] },
+    },
+  ],
+});
--- a/src/App.tsx
+++ b/src/App.tsx
@@ -10,8 +10,11 @@ import FilePreview from './components/FilePreview';
 import ResultPanel from './components/ResultPanel';
 import UploadModal from './components/UploadModal';
 import UserGuide from './components/UserGuide';
+import AuthModal from './components/AuthModal';

 const PAGE_SIZE = 6;
+const GUEST_USAGE_LIMIT = 3;
+const GUEST_USAGE_COUNT_KEY = 'texpixel_guest_usage_count';

 function App() {
  const { user, initializing } = useAuth();
@@ -21,7 +24,13 @@ function App() {
  const [selectedResult, setSelectedResult] = useState<RecognitionResult | null>(null);
  const [showUploadModal, setShowUploadModal] = useState(false);
  const [showUserGuide, setShowUserGuide] = useState(false);
+  const [showAuthModal, setShowAuthModal] = useState(false);
  const [loading, setLoading] = useState(false);
+  const [guestUsageCount, setGuestUsageCount] = useState<number>(() => {
+    const storedCount = localStorage.getItem(GUEST_USAGE_COUNT_KEY);
+    const parsedCount = storedCount ? Number.parseInt(storedCount, 10) : 0;
+    return Number.isFinite(parsedCount) ? parsedCount : 0;
+  });

  // Pagination state
  const [currentPage, setCurrentPage] = useState(1);
@@ -44,6 +53,19 @@ function App() {
  const hasLoadedFiles = useRef(false);

  const selectedFile = files.find((f) => f.id === selectedFileId) || null;
+  const canUploadAnonymously = !user && guestUsageCount < GUEST_USAGE_LIMIT;
+
+  const openAuthModal = useCallback(() => {
+    setShowAuthModal(true);
+  }, []);
+
+  const incrementGuestUsage = useCallback(() => {
+    setGuestUsageCount((prev) => {
+      const nextCount = prev + 1;
+      localStorage.setItem(GUEST_USAGE_COUNT_KEY, String(nextCount));
+      return nextCount;
+    });
+  }, []);

  useEffect(() => {
    const handleStartGuide = () => setShowUserGuide(true);
@@ -97,6 +119,10 @@ function App() {
    const handlePaste = (e: ClipboardEvent) => {
      // If modal is open, let the modal handle paste events to avoid double upload
      if (showUploadModal) return;
+      if (!user && guestUsageCount >= GUEST_USAGE_LIMIT) {
+        openAuthModal();
+        return;
+      }

      const items = e.clipboardData?.items;
      if (!items) return;
@@ -116,7 +142,7 @@ function App() {

    document.addEventListener('paste', handlePaste);
    return () => document.removeEventListener('paste', handlePaste);
-  }, [user, showUploadModal]);
+  }, [guestUsageCount, openAuthModal, showUploadModal, user]);

  const startResizing = useCallback((mouseDownEvent: React.MouseEvent) => {
    mouseDownEvent.preventDefault();
@@ -180,7 +206,7 @@ function App() {
      markdown_content: item.markdown,
      latex_content: item.latex,
      mathml_content: item.mathml,
-      mathml_word_content: item.mathml_mw,
+      mml: item.mml,
      rendered_image_path: item.image_blob || null,
      created_at: item.created_at,
    };
@@ -287,7 +313,7 @@ function App() {
            markdown_content: result.markdown,
            latex_content: result.latex,
            mathml_content: result.mathml,
-            mathml_word_content: result.mathml_mw,
+            mml: result.mml,
            rendered_image_path: result.image_blob || null,
            created_at: new Date().toISOString(),
          };
@@ -344,7 +370,7 @@ function App() {
              markdown_content: result.markdown,
              latex_content: result.latex,
              mathml_content: result.mathml,
-              mathml_word_content: result.mathml_mw,
+              mml: result.mml,
              rendered_image_path: result.image_blob || null,
              created_at: new Date().toISOString()
            };
@@ -391,8 +417,15 @@ function App() {
  };

  const handleUpload = async (uploadFiles: File[]) => {
+    if (!user && guestUsageCount >= GUEST_USAGE_LIMIT) {
+      openAuthModal();
+      return;
+    }
+
    setLoading(true);
    try {
+      let successfulUploads = 0;
+
      for (const file of uploadFiles) {
        // 1. Upload file to OSS (or check duplicate)
        const fileHash = await uploadService.calculateMD5(file);
@@ -430,6 +463,12 @@ function App() {
        if (taskData.task_no) {
          startPolling(taskData.task_no, fileId);
        }
+
+        successfulUploads += 1;
+      }
+
+      if (!user && successfulUploads > 0) {
+        incrementGuestUsage();
      }
    } catch (error) {
      console.error('Error uploading files:', error);
@@ -464,7 +503,15 @@ function App() {
            files={files}
            selectedFileId={selectedFileId}
            onFileSelect={setSelectedFileId}
-            onUploadClick={() => setShowUploadModal(true)}
+            onUploadClick={() => {
+              if (!user && guestUsageCount >= GUEST_USAGE_LIMIT) {
+                openAuthModal();
+                return;
+              }
+              setShowUploadModal(true);
+            }}
+            canUploadAnonymously={canUploadAnonymously}
+            onRequireAuth={openAuthModal}
            isCollapsed={sidebarCollapsed}
            onToggleCollapse={() => setSidebarCollapsed(!sidebarCollapsed)}
            onUploadFiles={handleUpload}
@@ -502,6 +549,12 @@ function App() {
          />
        )}

+        {showAuthModal && (
+          <AuthModal
+            onClose={() => setShowAuthModal(false)}
+          />
+        )}
+
        <UserGuide
          isOpen={showUserGuide}
          onClose={() => setShowUserGuide(false)}
--- a/src/components/AuthModal.tsx
+++ b/src/components/AuthModal.tsx
@@ -1,41 +1,55 @@
-import { useState } from 'react';
+import { useMemo, useState } from 'react';
 import { X } from 'lucide-react';
 import { useAuth } from '../contexts/AuthContext';
 import { useLanguage } from '../contexts/LanguageContext';

 interface AuthModalProps {
  onClose: () => void;
+  mandatory?: boolean;
 }

-export default function AuthModal({ onClose }: AuthModalProps) {
-  const { signIn, signUp } = useAuth();
+export default function AuthModal({ onClose, mandatory = false }: AuthModalProps) {
+  const { signIn, signUp, beginGoogleOAuth, authPhase, authError } = useAuth();
  const { t } = useLanguage();
-  const [isSignUp, setIsSignUp] = useState(false);
+
+  const [mode, setMode] = useState<'signin' | 'signup'>('signin');
  const [email, setEmail] = useState('');
  const [password, setPassword] = useState('');
-  const [loading, setLoading] = useState(false);
-  const [error, setError] = useState('');
+  const [confirmPassword, setConfirmPassword] = useState('');
+  const [localError, setLocalError] = useState('');
+
+  const isBusy = useMemo(
+    () => ['email_signing_in', 'email_signing_up', 'oauth_redirecting', 'oauth_exchanging'].includes(authPhase),
+    [authPhase]
+  );
+
+  const submitText = mode === 'signup' ? t.auth.signUp : t.auth.signIn;

  const handleSubmit = async (e: React.FormEvent) => {
    e.preventDefault();
-    setError('');
-    setLoading(true);
+    setLocalError('');

-    try {
-      const { error } = isSignUp
-        ? await signUp(email, password)
-        : await signIn(email, password);
+    if (mode === 'signup') {
+      if (password.length < 6) {
+        setLocalError(t.auth.passwordHint);
+        return;
+      }

-      if (error) {
-        setError(error.message);
-      } else {
+      if (password !== confirmPassword) {
+        setLocalError(t.auth.passwordMismatch);
+        return;
+      }
+    }
+
+    const result = mode === 'signup' ? await signUp(email, password) : await signIn(email, password);
+
+    if (!result.error) {
      onClose();
    }
-    } catch (err) {
-      setError('发生错误，请重试');
-    } finally {
-      setLoading(false);
-    }
+  };
+
+  const handleGoogleOAuth = async () => {
+    await beginGoogleOAuth();
  };

  return (
@@ -43,36 +57,72 @@ export default function AuthModal({ onClose }: AuthModalProps) {
      <div className="bg-white rounded-xl shadow-xl max-w-md w-full p-6">
        <div className="flex justify-between items-center mb-6">
          <h2 className="text-2xl font-bold text-gray-900">
-            {isSignUp ? t.auth.signUpTitle : t.auth.signInTitle}
+            {mode === 'signup' ? t.auth.signUpTitle : t.auth.signInTitle}
          </h2>
+          {!mandatory && (
            <button
+              type="button"
              onClick={onClose}
              className="p-2 hover:bg-gray-100 rounded-lg transition-colors"
+              aria-label="close"
+              disabled={isBusy}
            >
              <X size={20} />
            </button>
+          )}
+        </div>
+
+        <div className="grid grid-cols-2 gap-2 rounded-lg bg-gray-100 p-1 mb-4">
+          <button
+            type="button"
+            onClick={() => setMode('signin')}
+            aria-pressed={mode === 'signin'}
+            disabled={isBusy}
+            className={`rounded-md px-3 py-2 text-sm font-medium transition-colors ${
+              mode === 'signin' ? 'bg-white text-gray-900 shadow-sm' : 'text-gray-600 hover:text-gray-900'
+            }`}
+          >
+            {t.auth.signIn}
+          </button>
+          <button
+            type="button"
+            onClick={() => setMode('signup')}
+            aria-pressed={mode === 'signup'}
+            disabled={isBusy}
+            className={`rounded-md px-3 py-2 text-sm font-medium transition-colors ${
+              mode === 'signup' ? 'bg-white text-gray-900 shadow-sm' : 'text-gray-600 hover:text-gray-900'
+            }`}
+          >
+            {t.auth.signUp}
+          </button>
        </div>

        <form onSubmit={handleSubmit} className="space-y-4">
          <div>
-            <label className="block text-sm font-medium text-gray-700 mb-1">
+            <label htmlFor="auth-email" className="block text-sm font-medium text-gray-700 mb-1">
              {t.auth.email}
            </label>
            <input
+              id="auth-email"
              type="email"
              value={email}
              onChange={(e) => setEmail(e.target.value)}
              className="w-full px-4 py-2 border border-gray-300 rounded-lg focus:ring-2 focus:ring-blue-500 focus:border-transparent"
              placeholder="your@email.com"
              required
+              disabled={isBusy}
            />
+            {mode === 'signup' && (
+              <p className="mt-1 text-xs text-gray-500">{t.auth.emailHint}</p>
+            )}
          </div>

          <div>
-            <label className="block text-sm font-medium text-gray-700 mb-1">
+            <label htmlFor="auth-password" className="block text-sm font-medium text-gray-700 mb-1">
              {t.auth.password}
            </label>
            <input
+              id="auth-password"
              type="password"
              value={password}
              onChange={(e) => setPassword(e.target.value)}
@@ -80,32 +130,72 @@ export default function AuthModal({ onClose }: AuthModalProps) {
              placeholder="••••••••"
              required
              minLength={6}
+              disabled={isBusy}
            />
+            {mode === 'signup' && (
+              <p className="mt-1 text-xs text-gray-500">{t.auth.passwordHint}</p>
+            )}
          </div>

-          {error && (
-            <div className="p-3 bg-red-100 border border-red-400 text-red-700 rounded-lg text-sm font-medium animate-pulse">
-              {t.auth.error}: {error}
+          {mode === 'signup' && (
+            <div>
+              <label htmlFor="auth-password-confirm" className="block text-sm font-medium text-gray-700 mb-1">
+                {t.auth.confirmPassword}
+              </label>
+              <input
+                id="auth-password-confirm"
+                type="password"
+                value={confirmPassword}
+                onChange={(e) => setConfirmPassword(e.target.value)}
+                className="w-full px-4 py-2 border border-gray-300 rounded-lg focus:ring-2 focus:ring-blue-500 focus:border-transparent"
+                placeholder="••••••••"
+                required
+                minLength={6}
+                disabled={isBusy}
+              />
+            </div>
+          )}
+
+          {(localError || authError) && (
+            <div className="p-3 bg-red-100 border border-red-300 text-red-700 rounded-lg text-sm font-medium">
+              {t.auth.error}: {localError || authError}
            </div>
          )}

          <button
            type="submit"
-            disabled={loading}
+            disabled={isBusy}
            className="w-full py-3 px-4 bg-blue-600 text-white rounded-lg hover:bg-blue-700 transition-colors font-medium disabled:opacity-80 disabled:cursor-wait"
          >
-            {isSignUp ? t.auth.signUp : t.auth.signIn}
+            {submitText}
+          </button>
+
+          <div className="relative py-1">
+            <div className="absolute inset-0 flex items-center" aria-hidden="true">
+              <div className="w-full border-t border-gray-200" />
+            </div>
+            <div className="relative flex justify-center text-xs">
+              <span className="bg-white px-2 text-gray-400">OR</span>
+            </div>
+          </div>
+
+          <button
+            type="button"
+            onClick={handleGoogleOAuth}
+            disabled={isBusy}
+            className="w-full py-3 px-4 border border-gray-300 text-gray-800 rounded-lg hover:bg-gray-50 transition-colors font-medium disabled:opacity-80 disabled:cursor-wait inline-flex items-center justify-center gap-2"
+          >
+            <img
+              src="https://upload.wikimedia.org/wikipedia/commons/7/7e/Gmail_icon_%282020%29.svg"
+              alt=""
+              aria-hidden="true"
+              className="w-[18px] h-[18px]"
+              loading="lazy"
+              decoding="async"
+            />
+            {authPhase === 'oauth_redirecting' ? t.auth.oauthRedirecting : t.auth.continueWithGoogle}
          </button>
        </form>
-
-        <div className="mt-4 text-center">
-          <button
-            onClick={() => setIsSignUp(!isSignUp)}
-            className="text-sm text-blue-600 hover:text-blue-700"
-          >
-            {isSignUp ? t.auth.hasAccount : t.auth.noAccount}
-          </button>
-        </div>
      </div>
    </div>
  );
--- a/src/components/ExportSidebar.tsx
+++ b/src/components/ExportSidebar.tsx
@@ -1,11 +1,12 @@
 import { useState } from 'react';
 import { X, Check, Copy, Download, Code2, Image as ImageIcon, FileText, Loader2, LucideIcon } from 'lucide-react';
 import { RecognitionResult } from '../types';
-import { convertMathmlToOmml, wrapOmmlForClipboard } from '../lib/ommlConverter';
 import { generateImageFromElement, copyImageToClipboard, downloadImage } from '../lib/imageGenerator';
 import { API_BASE_URL } from '../config/env';
 import { tokenManager } from '../lib/api';
+import { trackExportEvent } from '../lib/analytics';
 import { useLanguage } from '../contexts/LanguageContext';
+import toast, { Toaster } from 'react-hot-toast';

 interface ExportSidebarProps {
  isOpen: boolean;
@@ -39,14 +40,25 @@ export default function ExportSidebar({ isOpen, onClose, result }: ExportSidebar
      category: 'Code',
      getContent: (r) => r.markdown_content
    },
+    {
+      id: 'latex',
+      label: 'LaTeX',
+      category: 'Code',
+      getContent: (r) => r.latex_content
+    },
    {
      id: 'latex_inline',
      label: 'LaTeX (Inline)',
      category: 'Code',
      getContent: (r) => {
        if (!r.latex_content) return null;
-        // Remove existing \[ \] and wrap with \( \)
-        const content = r.latex_content.replace(/^\\\[/, '').replace(/\\\]$/, '').trim();
+        // Remove existing delimiters like \[ \], \( \), $$, or $
+        let content = r.latex_content.trim();
+        content = content.replace(/^\\\[/, '').replace(/\\\]$/, '');
+        content = content.replace(/^\\\(/, '').replace(/\\\)$/, '');
+        content = content.replace(/^\$\$/, '').replace(/\$\$$/, '');
+        content = content.replace(/^\$/, '').replace(/\$$/, '');
+        content = content.trim();
        return `\\(${content}\\)`;
      }
    },
@@ -54,7 +66,17 @@ export default function ExportSidebar({ isOpen, onClose, result }: ExportSidebar
      id: 'latex_display',
      label: 'LaTeX (Display)',
      category: 'Code',
-      getContent: (r) => r.latex_content
+      getContent: (r) => {
+        if (!r.latex_content) return null;
+        // Remove existing delimiters like \[ \], \( \), $$, or $
+        let content = r.latex_content.trim();
+        content = content.replace(/^\\\[/, '').replace(/\\\]$/, '');
+        content = content.replace(/^\\\(/, '').replace(/\\\)$/, '');
+        content = content.replace(/^\$\$/, '').replace(/\$\$$/, '');
+        content = content.replace(/^\$/, '').replace(/\$$/, '');
+        content = content.trim();
+        return `\\[${content}\\]`;
+      }
    },
    {
      id: 'mathml',
@@ -63,10 +85,10 @@ export default function ExportSidebar({ isOpen, onClose, result }: ExportSidebar
      getContent: (r) => r.mathml_content
    },
    {
-      id: 'mathml_word',
-      label: 'Word MathML',
+      id: 'mathml_mml',
+      label: 'MathML (MML)',
      category: 'Code',
-      getContent: (r) => r.mathml_word_content
+      getContent: (r) => r.mml
    },
    // Image Category
    {
@@ -169,6 +191,15 @@ export default function ExportSidebar({ isOpen, onClose, result }: ExportSidebar
  };

  const handleAction = async (option: ExportOption) => {
+    // Analytics tracking
+    if (result?.id) {
+      trackExportEvent(
+        result.id,
+        option.id,
+        exportOptions.map(o => o.id)
+      );
+    }
+
    // Handle DOCX export via API
    if (option.id === 'docx') {
      await handleFileExport('docx');
@@ -181,21 +212,32 @@ export default function ExportSidebar({ isOpen, onClose, result }: ExportSidebar
      return;
    }

-    let content = option.getContent(result);
+    const content = option.getContent(result);

-    // Fallback: If Word MathML is missing, try to convert from MathML
-    if (option.id === 'mathml_word' && !content && result.mathml_content) {
-      try {
-        const omml = await convertMathmlToOmml(result.mathml_content);
-        if (omml) {
-          content = wrapOmmlForClipboard(omml);
+    // Check if content is empty and show toast
+    if (!content) {
+      toast.error(t.export.noContent, {
+        duration: 2000,
+        position: 'top-center',
+        style: {
+          background: '#fff',
+          color: '#1f2937',
+          padding: '16px 20px',
+          borderRadius: '12px',
+          boxShadow: '0 10px 40px rgba(59, 130, 246, 0.15), 0 2px 8px rgba(59, 130, 246, 0.1)',
+          border: '1px solid #dbeafe',
+          fontSize: '14px',
+          fontWeight: '500',
+          maxWidth: '900px',
+          lineHeight: '1.5',
+        },
+        iconTheme: {
+          primary: '#ef4444',
+          secondary: '#ffffff',
+        },
+      });
+      return;
    }
-      } catch (err) {
-        console.error('Failed to convert MathML to OMML:', err);
-      }
-    }
-
-    if (!content) return;

    setExportingId(option.id);

@@ -224,6 +266,10 @@ export default function ExportSidebar({ isOpen, onClose, result }: ExportSidebar

    } catch (err) {
      console.error('Action failed:', err);
+      toast.error(t.export.failed, {
+        duration: 3000,
+        position: 'top-center',
+      });
    } finally {
      setExportingId(null);
    }
@@ -237,6 +283,41 @@ export default function ExportSidebar({ isOpen, onClose, result }: ExportSidebar

  return (
    <>
+      {/* Toast Container with custom configuration */}
+      <Toaster
+        position="top-center"
+        toastOptions={{
+          duration: 3000,
+          style: {
+            background: '#fff',
+            color: '#1f2937',
+            fontSize: '14px',
+            fontWeight: '500',
+            borderRadius: '12px',
+            boxShadow: '0 10px 40px rgba(59, 130, 246, 0.15), 0 2px 8px rgba(59, 130, 246, 0.1)',
+            maxWidth: '420px',
+          },
+          success: {
+            iconTheme: {
+              primary: '#10b981',
+              secondary: '#ffffff',
+            },
+            style: {
+              border: '1px solid #d1fae5',
+            },
+          },
+          error: {
+            iconTheme: {
+              primary: '#3b82f6',
+              secondary: '#ffffff',
+            },
+            style: {
+              border: '1px solid #dbeafe',
+            },
+          },
+        }}
+      />
+
      {/* Backdrop */}
      {isOpen && (
        <div
--- a/src/components/LeftSidebar.tsx
+++ b/src/components/LeftSidebar.tsx
@@ -1,5 +1,5 @@
 import React, { useState, useRef, useCallback, useEffect } from 'react';
-import { Upload, LogIn, LogOut, FileText, Clock, ChevronLeft, ChevronRight, Settings, History, MousePointerClick, FileUp, ClipboardPaste, Loader2 } from 'lucide-react';
+import { Upload, LogIn, LogOut, FileText, Clock, ChevronLeft, ChevronRight, History, MousePointerClick, FileUp, ClipboardPaste, Loader2 } from 'lucide-react';
 import { useAuth } from '../contexts/AuthContext';
 import { useLanguage } from '../contexts/LanguageContext';
 import { FileRecord } from '../types';
@@ -10,6 +10,8 @@ interface LeftSidebarProps {
  selectedFileId: string | null;
  onFileSelect: (fileId: string) => void;
  onUploadClick: () => void;
+  canUploadAnonymously: boolean;
+  onRequireAuth: () => void;
  isCollapsed: boolean;
  onToggleCollapse: () => void;
  onUploadFiles: (files: File[]) => void;
@@ -23,6 +25,8 @@ export default function LeftSidebar({
  selectedFileId,
  onFileSelect,
  onUploadClick,
+  canUploadAnonymously,
+  onRequireAuth,
  isCollapsed,
  onToggleCollapse,
  onUploadFiles,
@@ -30,12 +34,19 @@ export default function LeftSidebar({
  loadingMore,
  onLoadMore,
 }: LeftSidebarProps) {
-  const { user, signOut } = useAuth();
+  const { user, signOut, isAuthenticated } = useAuth();
  const { t } = useLanguage();
  const [showAuthModal, setShowAuthModal] = useState(false);
  const [isDragging, setIsDragging] = useState(false);
  const fileInputRef = useRef<HTMLInputElement>(null);
  const listRef = useRef<HTMLDivElement>(null);
+  const displayName = user?.username?.trim() || user?.email || '';
+
+  useEffect(() => {
+    if (isAuthenticated) {
+      setShowAuthModal(false);
+    }
+  }, [isAuthenticated]);

  // ... (rest of the logic remains the same)
  // Handle scroll to load more
@@ -84,6 +95,10 @@ export default function LeftSidebar({

  const handleDrop = (e: React.DragEvent) => {
    e.preventDefault();
+    if (!user && !canUploadAnonymously) {
+      onRequireAuth();
+      return;
+    }
    setIsDragging(false);

    const droppedFiles = Array.from(e.dataTransfer.files);
@@ -97,6 +112,10 @@ export default function LeftSidebar({
  };

  const handleFileChange = (e: React.ChangeEvent<HTMLInputElement>) => {
+    if (!user && !canUploadAnonymously) {
+      onRequireAuth();
+      return;
+    }
    if (e.target.files && e.target.files.length > 0) {
      onUploadFiles(Array.from(e.target.files));
    }
@@ -117,7 +136,13 @@ export default function LeftSidebar({
        </button>

        <button
-          onClick={onUploadClick}
+          onClick={() => {
+            if (!user && !canUploadAnonymously) {
+              onRequireAuth();
+              return;
+            }
+            onUploadClick();
+          }}
          className="p-3 rounded-xl bg-blue-600 text-white hover:bg-blue-700 shadow-lg shadow-blue-600/20 transition-all mb-6"
          title={t.common.upload}
        >
@@ -164,7 +189,13 @@ export default function LeftSidebar({
              onDragOver={handleDragOver}
            onDragLeave={handleDragLeave}
            onDrop={handleDrop}
-              onClick={() => fileInputRef.current?.click()}
+            onClick={() => {
+                if (!user && !canUploadAnonymously) {
+                  onRequireAuth();
+                  return;
+                }
+                fileInputRef.current?.click();
+              }}
              className={`
                    border-2 border-dashed rounded-xl p-6 text-center cursor-pointer transition-all duration-200 group
                    ${isDragging
@@ -284,7 +315,7 @@ export default function LeftSidebar({
                </svg>
              </div>
              <div className="flex-1 min-w-0">
-                <p className="text-sm font-medium text-gray-900 truncate">{user.email}</p>
+                <p className="text-sm font-medium text-gray-900 truncate">{displayName}</p>
              </div>
              <button
                onClick={() => signOut()}
--- a/src/components/UserGuide.tsx
+++ b/src/components/UserGuide.tsx
@@ -91,11 +91,9 @@ export default function UserGuide({ isOpen, onClose }: { isOpen: boolean; onClos
    }
  };

-  return (
-    <div className="fixed inset-0 z-[100] pointer-events-none">
-      {/* Backdrop with hole */}
-      <div className="absolute inset-0 bg-black/60 pointer-events-auto" onClick={onClose} style={{
-        clipPath: highlightStyle.top !== undefined ? `polygon(
+  const backdropClipPath =
+    highlightStyle.top !== undefined
+      ? `polygon(
          0% 0%, 0% 100%, 
          ${highlightStyle.left}px 100%, 
          ${highlightStyle.left}px ${highlightStyle.top}px, 
@@ -104,8 +102,17 @@ export default function UserGuide({ isOpen, onClose }: { isOpen: boolean; onClos
          ${highlightStyle.left}px ${(highlightStyle.top as number) + (highlightStyle.height as number)}px, 
          ${highlightStyle.left}px 100%, 
          100% 100%, 100% 0%
-        )` : 'none'
-      }} />
+        )`
+      : 'none';
+
+  return (
+    <div className="fixed inset-0 z-[100] pointer-events-none">
+      {/* Backdrop with hole */}
+      <div
+        className="absolute inset-0 bg-black/60 pointer-events-auto"
+        onClick={onClose}
+        style={{ clipPath: backdropClipPath }}
+      />

      {/* Highlight border */}
      <div
--- a/src/components/tests/App.test.tsx
+++ b/src/components/tests/App.test.tsx
@@ -0,0 +1,112 @@
+import { fireEvent, render, screen } from '@testing-library/react';
+import { beforeEach, describe, expect, it, vi } from 'vitest';
+
+import App from '../../App';
+
+const { useAuthMock } = vi.hoisted(() => ({
+  useAuthMock: vi.fn(),
+}));
+
+vi.mock('../../contexts/AuthContext', () => ({
+  useAuth: () => useAuthMock(),
+}));
+
+vi.mock('../../contexts/LanguageContext', () => ({
+  useLanguage: () => ({
+    t: {
+      common: { loading: '加载中', processing: '处理中' },
+      alerts: {
+        taskTimeout: '超时',
+        networkError: '网络错误',
+        uploadFailed: '上传失败',
+      },
+    },
+  }),
+}));
+
+vi.mock('../../lib/uploadService', () => ({
+  uploadService: {
+    getTaskList: vi.fn().mockResolvedValue({ task_list: [], total: 0 }),
+    getTaskResult: vi.fn(),
+    calculateMD5: vi.fn(),
+    uploadFile: vi.fn(),
+    createRecognitionTask: vi.fn(),
+  },
+}));
+
+vi.mock('../../components/Navbar', () => ({
+  default: () => <div>navbar</div>,
+}));
+
+vi.mock('../../components/LeftSidebar', () => ({
+  default: ({
+    onUploadClick,
+    onRequireAuth,
+    canUploadAnonymously,
+  }: {
+    onUploadClick: () => void;
+    onRequireAuth: () => void;
+    canUploadAnonymously: boolean;
+  }) => (
+    <div>
+      <button onClick={onUploadClick}>open-upload</button>
+      <button onClick={onRequireAuth}>open-auth</button>
+      <span>{canUploadAnonymously ? 'guest-allowed' : 'guest-blocked'}</span>
+    </div>
+  ),
+}));
+
+vi.mock('../../components/FilePreview', () => ({
+  default: () => <div>preview</div>,
+}));
+
+vi.mock('../../components/ResultPanel', () => ({
+  default: () => <div>result</div>,
+}));
+
+vi.mock('../../components/UploadModal', () => ({
+  default: () => <div>upload-modal</div>,
+}));
+
+vi.mock('../../components/UserGuide', () => ({
+  default: () => null,
+}));
+
+vi.mock('../../components/AuthModal', () => ({
+  default: () => <div>auth-modal</div>,
+}));
+
+describe('App anonymous usage limit', () => {
+  beforeEach(() => {
+    vi.clearAllMocks();
+    localStorage.clear();
+    localStorage.setItem('hasSeenGuide', 'true');
+    useAuthMock.mockReturnValue({
+      user: null,
+      initializing: false,
+    });
+  });
+
+  it('allows anonymous upload before the limit', () => {
+    localStorage.setItem('texpixel_guest_usage_count', '2');
+
+    render(<App />);
+
+    expect(screen.getByText('guest-allowed')).toBeInTheDocument();
+    fireEvent.click(screen.getByText('open-upload'));
+
+    expect(screen.getByText('upload-modal')).toBeInTheDocument();
+  });
+
+  it('forces login after three anonymous uses', () => {
+    localStorage.setItem('texpixel_guest_usage_count', '3');
+
+    render(<App />);
+
+    expect(screen.getByText('guest-blocked')).toBeInTheDocument();
+    fireEvent.click(screen.getByText('open-upload'));
+
+    expect(screen.getByText('auth-modal')).toBeInTheDocument();
+    expect(screen.queryByText('upload-modal')).not.toBeInTheDocument();
+  });
+});
--- a/src/components/tests/AuthModal.test.tsx
+++ b/src/components/tests/AuthModal.test.tsx
@@ -0,0 +1,103 @@
+import { fireEvent, render, screen } from '@testing-library/react';
+import { describe, expect, it, vi } from 'vitest';
+
+import AuthModal from '../AuthModal';
+
+const useAuthMock = vi.fn();
+
+vi.mock('../../contexts/AuthContext', () => ({
+  useAuth: () => useAuthMock(),
+}));
+
+vi.mock('../../contexts/LanguageContext', () => ({
+  useLanguage: () => ({
+    t: {
+      auth: {
+        signIn: '登录',
+        signUp: '注册',
+        signInTitle: '登录账号',
+        signUpTitle: '注册账号',
+        email: '邮箱',
+        password: '密码',
+        error: '错误',
+        genericError: '发生错误，请重试',
+        hasAccount: '已有账号？去登录',
+        noAccount: '没有账号？去注册',
+        continueWithGoogle: 'Google',
+        emailHint: '仅用于登录和同步记录。',
+        passwordHint: '密码至少 6 位，建议使用字母和数字组合。',
+        confirmPassword: '确认密码',
+        passwordMismatch: '两次输入的密码不一致。',
+        oauthRedirecting: '正在跳转 Google...',
+      },
+    },
+  }),
+}));
+
+describe('AuthModal', () => {
+  it('renders google oauth button', () => {
+    useAuthMock.mockReturnValue({
+      signIn: vi.fn().mockResolvedValue({ error: null }),
+      signUp: vi.fn().mockResolvedValue({ error: null }),
+      beginGoogleOAuth: vi.fn().mockResolvedValue({ error: null }),
+      authPhase: 'idle',
+      authError: null,
+    });
+
+    render(<AuthModal onClose={vi.fn()} />);
+
+    expect(screen.getByRole('button', { name: 'Google' })).toBeInTheDocument();
+  });
+
+  it('disables inputs and submit while oauth redirecting', () => {
+    useAuthMock.mockReturnValue({
+      signIn: vi.fn().mockResolvedValue({ error: null }),
+      signUp: vi.fn().mockResolvedValue({ error: null }),
+      beginGoogleOAuth: vi.fn().mockResolvedValue({ error: null }),
+      authPhase: 'oauth_redirecting',
+      authError: null,
+    });
+
+    render(<AuthModal onClose={vi.fn()} />);
+
+    const emailInput = screen.getByLabelText('邮箱');
+    const submitButton = document.querySelector('button[type="submit"]') as HTMLButtonElement;
+
+    expect(emailInput).toBeDisabled();
+    expect(submitButton).toBeDisabled();
+  });
+
+  it('switches between signin and signup with segmented tabs', () => {
+    useAuthMock.mockReturnValue({
+      signIn: vi.fn().mockResolvedValue({ error: null }),
+      signUp: vi.fn().mockResolvedValue({ error: null }),
+      beginGoogleOAuth: vi.fn().mockResolvedValue({ error: null }),
+      authPhase: 'idle',
+      authError: null,
+    });
+
+    render(<AuthModal onClose={vi.fn()} />);
+
+    const signupTab = screen.getByRole('button', { name: '注册', pressed: false });
+    fireEvent.click(signupTab);
+
+    expect(screen.getByRole('button', { name: '注册', pressed: true })).toBeInTheDocument();
+  });
+
+  it('shows friendlier signup guidance', () => {
+    useAuthMock.mockReturnValue({
+      signIn: vi.fn().mockResolvedValue({ error: null }),
+      signUp: vi.fn().mockResolvedValue({ error: null }),
+      beginGoogleOAuth: vi.fn().mockResolvedValue({ error: null }),
+      authPhase: 'idle',
+      authError: null,
+    });
+
+    render(<AuthModal onClose={vi.fn()} />);
+
+    fireEvent.click(screen.getByRole('button', { name: '注册', pressed: false }));
+
+    expect(screen.getByText(/密码至少 6 位/i)).toBeInTheDocument();
+    expect(screen.getByText(/仅用于登录和同步记录/i)).toBeInTheDocument();
+  });
+});
--- a/src/contexts/AuthContext.tsx
+++ b/src/contexts/AuthContext.tsx
@@ -1,122 +1,207 @@
-import { createContext, useContext, useEffect, useState, ReactNode, useCallback } from 'react';
+import { createContext, useContext, useMemo, ReactNode, useCallback, useEffect, useReducer } from 'react';
 import { authService } from '../lib/authService';
 import { ApiErrorMessages } from '../types/api';
-import type { UserInfo } from '../types/api';
+import type { GoogleOAuthCallbackRequest, UserInfo } from '../types/api';
+import { authReducer, createInitialAuthState, type AuthPhase } from './authMachine';
+
+export const OAUTH_STATE_KEY = 'texpixel_oauth_state';
+export const OAUTH_POST_LOGIN_REDIRECT_KEY = 'texpixel_post_login_redirect';

 interface AuthContextType {
  user: UserInfo | null;
  token: string | null;
  loading: boolean;
-  initializing: boolean; // 新增初始化状态
+  initializing: boolean;
+  authPhase: AuthPhase;
+  authError: string | null;
  signIn: (email: string, password: string) => Promise<{ error: Error | null }>;
  signUp: (email: string, password: string) => Promise<{ error: Error | null }>;
+  beginGoogleOAuth: () => Promise<{ error: Error | null }>;
+  completeGoogleOAuth: (params: GoogleOAuthCallbackRequest) => Promise<{ error: Error | null }>;
  signOut: () => Promise<void>;
  isAuthenticated: boolean;
 }

 const AuthContext = createContext<AuthContextType | undefined>(undefined);
+const oauthExchangeInFlight = new Map<string, Promise<{ error: Error | null }>>();

-export function AuthProvider({ children }: { children: ReactNode }) {
-  // 直接在 useState 初始化函数中同步恢复会话
-  const [user, setUser] = useState<UserInfo | null>(() => {
-    try {
-      const session = authService.restoreSession();
-      return session ? session.user : null;
-    } catch {
-      return null;
-    }
-  });
-
-  const [token, setToken] = useState<string | null>(() => {
-    try {
-      const session = authService.restoreSession();
-      return session ? session.token : null;
-    } catch {
-      return null;
-    }
-  });
-
-  const [loading, setLoading] = useState(false);
-  const [initializing, setInitializing] = useState(false); // 不需要初始化过程了，因为是同步的
-
-  // 不再需要 useEffect 里的 restoreSession
-
-
-  /**
-   * 从错误对象中提取用户友好的错误消息
-   */
-  const getErrorMessage = (error: unknown, fallback: string): string => {
-    // 检查是否是 ApiError（通过 code 属性判断，避免 instanceof 在热更新时失效）
+function getErrorMessage(error: unknown, fallback: string): string {
  if (error && typeof error === 'object' && 'code' in error) {
-      const apiError = error as { code: number; message: string };
+    const apiError = error as { code: number; message?: string };
    return ApiErrorMessages[apiError.code] || apiError.message || fallback;
  }
  if (error instanceof Error) {
    return error.message;
  }
  return fallback;
-  };
+}
+
+function createOAuthState(): string {
+  if (typeof crypto !== 'undefined' && typeof crypto.randomUUID === 'function') {
+    return crypto.randomUUID();
+  }
+
+  return `${Date.now()}_${Math.random().toString(36).slice(2)}`;
+}
+
+function mergeUserProfile(user: UserInfo, profile: { username: string; email: string }): UserInfo {
+  return {
+    ...user,
+    username: profile.username || user.username || '',
+    email: profile.email || user.email,
+  };
+}
+
+export function AuthProvider({ children }: { children: ReactNode }) {
+  const restoredSession = authService.restoreSession();
+
+  const [state, dispatch] = useReducer(
+    authReducer,
+    createInitialAuthState(restoredSession ? { user: restoredSession.user, token: restoredSession.token } : null)
+  );

-  /**
-   * 登录
-   */
  const signIn = useCallback(async (email: string, password: string) => {
-    setLoading(true);
+    dispatch({ type: 'EMAIL_SIGNIN_START' });
+
    try {
      const result = await authService.login({ email, password });
-      setUser(result.user);
-      setToken(result.token);
+      dispatch({ type: 'EMAIL_SIGNIN_SUCCESS', payload: { user: result.user, token: result.token } });
      return { error: null };
    } catch (error) {
      const message = getErrorMessage(error, '登录失败');
+      dispatch({ type: 'EMAIL_SIGNIN_FAIL', payload: { error: message } });
      return { error: new Error(message) };
-    } finally {
-      setLoading(false);
    }
  }, []);

-  /**
-   * 注册
-   */
  const signUp = useCallback(async (email: string, password: string) => {
-    setLoading(true);
+    dispatch({ type: 'EMAIL_SIGNUP_START' });
+
    try {
      const result = await authService.register({ email, password });
-      setUser(result.user);
-      setToken(result.token);
+      dispatch({ type: 'EMAIL_SIGNUP_SUCCESS', payload: { user: result.user, token: result.token } });
      return { error: null };
    } catch (error) {
      const message = getErrorMessage(error, '注册失败');
+      dispatch({ type: 'EMAIL_SIGNUP_FAIL', payload: { error: message } });
+      return { error: new Error(message) };
+    }
+  }, []);
+
+  const beginGoogleOAuth = useCallback(async () => {
+    dispatch({ type: 'OAUTH_REDIRECT_START' });
+
+    try {
+      const stateToken = createOAuthState();
+      const redirectUri = `${window.location.origin}/auth/google/callback`;
+      sessionStorage.setItem(OAUTH_STATE_KEY, stateToken);
+      sessionStorage.setItem(OAUTH_POST_LOGIN_REDIRECT_KEY, window.location.href);
+
+      const { authUrl } = await authService.getGoogleOAuthUrl(redirectUri, stateToken);
+      window.location.assign(authUrl);
+      return { error: null };
+    } catch (error) {
+      const message = getErrorMessage(error, 'Google 登录失败');
+      dispatch({ type: 'OAUTH_EXCHANGE_FAIL', payload: { error: message } });
+      return { error: new Error(message) };
+    }
+  }, []);
+
+  const completeGoogleOAuth = useCallback(async (params: GoogleOAuthCallbackRequest) => {
+    const requestKey = params.code;
+    const existing = oauthExchangeInFlight.get(requestKey);
+    if (existing) {
+      return existing;
+    }
+
+    const promise = (async () => {
+      dispatch({ type: 'OAUTH_EXCHANGE_START' });
+
+      try {
+        const expectedState = sessionStorage.getItem(OAUTH_STATE_KEY);
+        if (!expectedState || expectedState !== params.state) {
+          const invalidStateMessage = 'OAuth state 校验失败';
+          dispatch({ type: 'OAUTH_EXCHANGE_FAIL', payload: { error: invalidStateMessage } });
+          return { error: new Error(invalidStateMessage) };
+        }
+
+        const result = await authService.exchangeGoogleCode(params);
+        sessionStorage.removeItem(OAUTH_STATE_KEY);
+        dispatch({ type: 'OAUTH_EXCHANGE_SUCCESS', payload: { user: result.user, token: result.token } });
+        return { error: null };
+      } catch (error) {
+        const message = getErrorMessage(error, 'Google 登录失败');
+        dispatch({ type: 'OAUTH_EXCHANGE_FAIL', payload: { error: message } });
        return { error: new Error(message) };
      } finally {
-      setLoading(false);
+        oauthExchangeInFlight.delete(requestKey);
      }
+    })();
+
+    oauthExchangeInFlight.set(requestKey, promise);
+    return promise;
  }, []);

-  /**
-   * 登出
-   */
  const signOut = useCallback(async () => {
-    setLoading(true);
-    try {
    authService.logout();
-      setUser(null);
-      setToken(null);
-    } finally {
-      setLoading(false);
-    }
+    dispatch({ type: 'SIGN_OUT' });
  }, []);

-  const value: AuthContextType = {
-    user,
-    token,
-    loading,
-    initializing,
+  useEffect(() => {
+    let cancelled = false;
+
+    const syncUserProfile = async () => {
+      if (!state.user || !state.token) {
+        return;
+      }
+
+      try {
+        const profile = await authService.getUserInfo();
+        if (cancelled) {
+          return;
+        }
+
+        dispatch({
+          type: 'UPDATE_USER',
+          payload: {
+            user: mergeUserProfile(state.user, profile),
+          },
+        });
+      } catch {
+        // Keep token-derived identity if profile sync fails.
+      }
+    };
+
+    void syncUserProfile();
+
+    return () => {
+      cancelled = true;
+    };
+  }, [state.token, state.user]);
+
+  const value = useMemo<AuthContextType>(() => {
+    const loadingPhases: AuthPhase[] = [
+      'email_signing_in',
+      'email_signing_up',
+      'oauth_redirecting',
+      'oauth_exchanging',
+    ];
+
+    return {
+      user: state.user,
+      token: state.token,
+      loading: loadingPhases.includes(state.authPhase),
+      initializing: state.initializing,
+      authPhase: state.authPhase,
+      authError: state.authError,
      signIn,
      signUp,
+      beginGoogleOAuth,
+      completeGoogleOAuth,
      signOut,
-    isAuthenticated: !!user && !!token,
+      isAuthenticated: !!state.user && !!state.token,
    };
+  }, [beginGoogleOAuth, completeGoogleOAuth, signIn, signOut, signUp, state]);

  return <AuthContext.Provider value={value}>{children}</AuthContext.Provider>;
 }
--- a/src/contexts/LanguageContext.tsx
+++ b/src/contexts/LanguageContext.tsx
@@ -1,6 +1,7 @@
 import React, { createContext, useContext, useState, useEffect } from 'react';
 import { translations, Language, TranslationKey } from '../lib/translations';
 import { detectLanguageByIP } from '../lib/ipLocation';
+import { updatePageMeta } from '../lib/seoHelper';

 interface LanguageContextType {
  language: Language;
@@ -25,6 +26,7 @@ export const LanguageProvider: React.FC<{ children: React.ReactNode }> = ({ chil
    
    // 如果用户已经手动选择过语言，则不进行IP检测
    if (saved === 'en' || saved === 'zh') {
+      updatePageMeta(saved); // Update meta tags on initial load
      return;
    }

@@ -32,18 +34,21 @@ export const LanguageProvider: React.FC<{ children: React.ReactNode }> = ({ chil
    detectLanguageByIP()
      .then((detectedLang) => {
        setLanguageState(detectedLang);
+        updatePageMeta(detectedLang); // Update meta tags after detection
        // 注意：这里不保存到 localStorage，让用户首次访问时使用IP检测的结果
        // 如果用户手动切换语言，才会保存到 localStorage
      })
      .catch((error) => {
        // IP检测失败时，保持使用浏览器语言检测的结果
        console.warn('Failed to detect language by IP:', error);
+        updatePageMeta(language); // Update with fallback language
      });
  }, []); // 仅在组件挂载时执行一次

  const setLanguage = (lang: Language) => {
    setLanguageState(lang);
    localStorage.setItem('language', lang);
+    updatePageMeta(lang); // Update page metadata when language changes
  };

  const t = translations[language];
--- a/src/contexts/tests/AuthContext.oauth.test.tsx
+++ b/src/contexts/tests/AuthContext.oauth.test.tsx
@@ -0,0 +1,207 @@
+import { useEffect } from 'react';
+import { act, render, waitFor } from '@testing-library/react';
+import { describe, expect, it, vi, beforeEach } from 'vitest';
+
+import { AuthProvider, useAuth } from '../AuthContext';
+
+const {
+  loginMock,
+  registerMock,
+  logoutMock,
+  restoreSessionMock,
+  getGoogleOAuthUrlMock,
+  exchangeGoogleCodeMock,
+} = vi.hoisted(() => ({
+  loginMock: vi.fn(),
+  registerMock: vi.fn(),
+  logoutMock: vi.fn(),
+  restoreSessionMock: vi.fn(() => null),
+  getGoogleOAuthUrlMock: vi.fn(),
+  exchangeGoogleCodeMock: vi.fn(),
+}));
+
+vi.mock('../../lib/authService', () => ({
+  authService: {
+    login: loginMock,
+    register: registerMock,
+    logout: logoutMock,
+    restoreSession: restoreSessionMock,
+    getGoogleOAuthUrl: getGoogleOAuthUrlMock,
+    exchangeGoogleCode: exchangeGoogleCodeMock,
+  },
+}));
+
+function Harness({ onReady }: { onReady: (ctx: ReturnType<typeof useAuth>) => void }) {
+  const auth = useAuth();
+
+  useEffect(() => {
+    onReady(auth);
+  }, [auth, onReady]);
+
+  return null;
+}
+
+function renderWithProvider(onReady: (ctx: ReturnType<typeof useAuth>) => void) {
+  return render(
+    <AuthProvider>
+      <Harness onReady={onReady} />
+    </AuthProvider>
+  );
+}
+
+describe('AuthContext OAuth flow', () => {
+  beforeEach(() => {
+    vi.clearAllMocks();
+    sessionStorage.clear();
+    localStorage.clear();
+    restoreSessionMock.mockReturnValue(null);
+  });
+
+  it('beginGoogleOAuth writes state and redirect then redirects browser', async () => {
+    getGoogleOAuthUrlMock.mockResolvedValue({ authUrl: 'https://accounts.google.com/o/oauth2/v2/auth' });
+    let ctxRef: ReturnType<typeof useAuth> | null = null;
+
+    renderWithProvider((ctx) => {
+      ctxRef = ctx;
+    });
+
+    await waitFor(() => {
+      expect(ctxRef).toBeTruthy();
+    });
+
+    await act(async () => {
+      await (ctxRef as ReturnType<typeof useAuth>).beginGoogleOAuth();
+    });
+
+    expect(sessionStorage.getItem('texpixel_oauth_state')).toBeTruthy();
+    expect(sessionStorage.getItem('texpixel_post_login_redirect')).toBe(window.location.href);
+    expect(getGoogleOAuthUrlMock).toHaveBeenCalledTimes(1);
+  });
+
+  it('completeGoogleOAuth rejects when state mismatches', async () => {
+    sessionStorage.setItem('texpixel_oauth_state', 'expected_state');
+    let ctxRef: ReturnType<typeof useAuth> | null = null;
+
+    renderWithProvider((ctx) => {
+      ctxRef = ctx;
+    });
+
+    await waitFor(() => {
+      expect(ctxRef).toBeTruthy();
+    });
+
+    let result: { error: Error | null } = { error: null };
+    await act(async () => {
+      result = await (ctxRef as ReturnType<typeof useAuth>).completeGoogleOAuth({
+        code: 'abc',
+        state: 'wrong_state',
+        redirect_uri: 'http://localhost:5173/auth/google/callback',
+      });
+    });
+
+    expect(result.error).toBeTruthy();
+    expect(exchangeGoogleCodeMock).not.toHaveBeenCalled();
+    expect(localStorage.getItem('texpixel_token')).toBeNull();
+  });
+
+  it('completeGoogleOAuth stores session on success', async () => {
+    sessionStorage.setItem('texpixel_oauth_state', 'state_ok');
+    exchangeGoogleCodeMock.mockImplementation(async () => {
+      localStorage.setItem('texpixel_token', 'Bearer header.payload.sig');
+      return {
+        token: 'Bearer header.payload.sig',
+        expiresAt: 1999999999,
+        user: {
+          user_id: 7,
+          id: '7',
+          email: 'oauth@example.com',
+          exp: 1999999999,
+          iat: 1111111,
+        },
+      };
+    });
+
+    let ctxRef: ReturnType<typeof useAuth> | null = null;
+
+    renderWithProvider((ctx) => {
+      ctxRef = ctx;
+    });
+
+    await waitFor(() => {
+      expect(ctxRef).toBeTruthy();
+    });
+
+    let result: { error: Error | null } = { error: null };
+    await act(async () => {
+      result = await (ctxRef as ReturnType<typeof useAuth>).completeGoogleOAuth({
+        code: 'code_ok',
+        state: 'state_ok',
+        redirect_uri: 'http://localhost:5173/auth/google/callback',
+      });
+    });
+
+    expect(result.error).toBeNull();
+
+    await waitFor(() => {
+      expect((ctxRef as ReturnType<typeof useAuth>).isAuthenticated).toBe(true);
+    });
+    expect(localStorage.getItem('texpixel_token')).toBe('Bearer header.payload.sig');
+  });
+
+  it('completeGoogleOAuth deduplicates same code requests', async () => {
+    sessionStorage.setItem('texpixel_oauth_state', 'state_ok');
+
+    exchangeGoogleCodeMock.mockImplementation(
+      () =>
+        new Promise((resolve) => {
+          setTimeout(() => {
+            localStorage.setItem('texpixel_token', 'Bearer header.payload.sig');
+            resolve({
+              token: 'Bearer header.payload.sig',
+              expiresAt: 1999999999,
+              user: {
+                user_id: 7,
+                id: '7',
+                email: 'oauth@example.com',
+                exp: 1999999999,
+                iat: 1111111,
+              },
+            });
+          }, 20);
+        })
+    );
+
+    let ctxRef: ReturnType<typeof useAuth> | null = null;
+
+    renderWithProvider((ctx) => {
+      ctxRef = ctx;
+    });
+
+    await waitFor(() => {
+      expect(ctxRef).toBeTruthy();
+    });
+
+    let result1: { error: Error | null } = { error: null };
+    let result2: { error: Error | null } = { error: null };
+
+    await act(async () => {
+      const p1 = (ctxRef as ReturnType<typeof useAuth>).completeGoogleOAuth({
+        code: 'same_code',
+        state: 'state_ok',
+        redirect_uri: 'http://localhost:5173/auth/google/callback',
+      });
+
+      const p2 = (ctxRef as ReturnType<typeof useAuth>).completeGoogleOAuth({
+        code: 'same_code',
+        state: 'state_ok',
+        redirect_uri: 'http://localhost:5173/auth/google/callback',
+      });
+
+      [result1, result2] = await Promise.all([p1, p2]);
+    });
+
+    expect(result1.error).toBeNull();
+    expect(result2.error).toBeNull();
+    expect(exchangeGoogleCodeMock).toHaveBeenCalledTimes(1);
+  });
+});
--- a/src/contexts/authMachine.ts
+++ b/src/contexts/authMachine.ts
@@ -0,0 +1,135 @@
+import type { UserInfo } from '../types/api';
+
+export type AuthPhase =
+  | 'idle'
+  | 'email_signing_in'
+  | 'email_signing_up'
+  | 'oauth_redirecting'
+  | 'oauth_exchanging'
+  | 'authenticated'
+  | 'error';
+
+export interface AuthState {
+  user: UserInfo | null;
+  token: string | null;
+  authPhase: AuthPhase;
+  authError: string | null;
+  initializing: boolean;
+}
+
+export type AuthAction =
+  | { type: 'RESTORE_SESSION'; payload: { user: UserInfo | null; token: string | null } }
+  | { type: 'EMAIL_SIGNIN_START' }
+  | { type: 'EMAIL_SIGNIN_SUCCESS'; payload: { user: UserInfo; token: string } }
+  | { type: 'EMAIL_SIGNIN_FAIL'; payload: { error: string } }
+  | { type: 'EMAIL_SIGNUP_START' }
+  | { type: 'EMAIL_SIGNUP_SUCCESS'; payload: { user: UserInfo; token: string } }
+  | { type: 'EMAIL_SIGNUP_FAIL'; payload: { error: string } }
+  | { type: 'OAUTH_REDIRECT_START' }
+  | { type: 'OAUTH_EXCHANGE_START' }
+  | { type: 'OAUTH_EXCHANGE_SUCCESS'; payload: { user: UserInfo; token: string } }
+  | { type: 'OAUTH_EXCHANGE_FAIL'; payload: { error: string } }
+  | { type: 'UPDATE_USER'; payload: { user: UserInfo } }
+  | { type: 'SIGN_OUT' };
+
+export function createInitialAuthState(session: { user: UserInfo; token: string } | null): AuthState {
+  if (session) {
+    return {
+      user: session.user,
+      token: session.token,
+      authPhase: 'authenticated',
+      authError: null,
+      initializing: false,
+    };
+  }
+
+  return {
+    user: null,
+    token: null,
+    authPhase: 'idle',
+    authError: null,
+    initializing: false,
+  };
+}
+
+export function authReducer(state: AuthState, action: AuthAction): AuthState {
+  switch (action.type) {
+    case 'RESTORE_SESSION': {
+      if (action.payload.user && action.payload.token) {
+        return {
+          ...state,
+          user: action.payload.user,
+          token: action.payload.token,
+          authPhase: 'authenticated',
+          authError: null,
+          initializing: false,
+        };
+      }
+
+      return {
+        ...state,
+        user: null,
+        token: null,
+        authPhase: 'idle',
+        authError: null,
+        initializing: false,
+      };
+    }
+
+    case 'EMAIL_SIGNIN_START':
+      return { ...state, authPhase: 'email_signing_in', authError: null };
+    case 'EMAIL_SIGNIN_SUCCESS':
+      return {
+        ...state,
+        user: action.payload.user,
+        token: action.payload.token,
+        authPhase: 'authenticated',
+        authError: null,
+      };
+    case 'EMAIL_SIGNIN_FAIL':
+      return { ...state, authPhase: 'error', authError: action.payload.error };
+
+    case 'EMAIL_SIGNUP_START':
+      return { ...state, authPhase: 'email_signing_up', authError: null };
+    case 'EMAIL_SIGNUP_SUCCESS':
+      return {
+        ...state,
+        user: action.payload.user,
+        token: action.payload.token,
+        authPhase: 'authenticated',
+        authError: null,
+      };
+    case 'EMAIL_SIGNUP_FAIL':
+      return { ...state, authPhase: 'error', authError: action.payload.error };
+
+    case 'OAUTH_REDIRECT_START':
+      return { ...state, authPhase: 'oauth_redirecting', authError: null };
+    case 'OAUTH_EXCHANGE_START':
+      return { ...state, authPhase: 'oauth_exchanging', authError: null };
+    case 'OAUTH_EXCHANGE_SUCCESS':
+      return {
+        ...state,
+        user: action.payload.user,
+        token: action.payload.token,
+        authPhase: 'authenticated',
+        authError: null,
+      };
+    case 'OAUTH_EXCHANGE_FAIL':
+      return { ...state, authPhase: 'error', authError: action.payload.error };
+
+    case 'UPDATE_USER':
+      return { ...state, user: action.payload.user };
+
+    case 'SIGN_OUT':
+      return {
+        ...state,
+        user: null,
+        token: null,
+        authPhase: 'idle',
+        authError: null,
+      };
+
+    default:
+      return state;
+  }
+}
--- a/src/lib/analytics.ts
+++ b/src/lib/analytics.ts
@@ -0,0 +1,63 @@
+import http from './api';
+
+interface AnalyticsPayload {
+  task_no: string;
+  event_name: string;
+  properties: Record<string, any>;
+  meta_data?: Record<string, any>;
+  device_info: {
+    ip: string;
+    "use-agent": string;
+    browser: string;
+  };
+}
+
+export const trackExportEvent = (
+  taskNo: string,
+  selectedOption: string,
+  availableOptions: string[]
+) => {
+  try {
+    const payload: AnalyticsPayload = {
+      task_no: taskNo,
+      event_name: 'export_selected_event',
+      properties: {
+        option: availableOptions,
+        selected: selectedOption
+      },
+      meta_data: {
+        task_no: taskNo
+      },
+      device_info: {
+        ip: '',
+        "use-agent": navigator.userAgent,
+        browser: getBrowserName()
+      }
+    };
+
+    // Fire and forget - do not await
+    http.post('/analytics/track', payload).catch(err => {
+      // Silently ignore errors to not block business flow
+      console.debug('Analytics tracking failed:', err);
+    });
+  } catch (error) {
+    console.debug('Analytics error:', error);
+  }
+};
+
+function getBrowserName(): string {
+  const userAgent = navigator.userAgent;
+  if (userAgent.match(/chrome|chromium|crios/i)) {
+    return "Chrome";
+  } else if (userAgent.match(/firefox|fxios/i)) {
+    return "Firefox";
+  } else if (userAgent.match(/safari/i)) {
+    return "Safari";
+  } else if (userAgent.match(/opr\//i)) {
+    return "Opera";
+  } else if (userAgent.match(/edg/i)) {
+    return "Edge";
+  } else {
+    return "Unknown";
+  }
+}
--- a/src/lib/api.ts
+++ b/src/lib/api.ts
@@ -73,6 +73,7 @@ export class ApiError extends Error {
 */
 interface RequestConfig extends RequestInit {
  skipAuth?: boolean;
+  successCodes?: number[];
 }

 /**
@@ -82,7 +83,7 @@ async function request<T>(
  endpoint: string,
  config: RequestConfig = {}
 ): Promise<ApiResponse<T>> {
-  const { skipAuth = false, headers: customHeaders, ...restConfig } = config;
+  const { skipAuth = false, successCodes = [200], headers: customHeaders, ...restConfig } = config;

  const headers: HeadersInit = {
    'Content-Type': 'application/json',
@@ -108,7 +109,7 @@ async function request<T>(
    const data: ApiResponse<T> = await response.json();

    // 统一处理业务错误
-    if (data.code !== 200) {
+    if (!successCodes.includes(data.code)) {
      throw new ApiError(data.code, data.message, data.request_id);
    }

@@ -153,4 +154,3 @@ export const http = {
 };

 export default http;
-
--- a/src/lib/authService.ts
+++ b/src/lib/authService.ts
@@ -1,36 +1,61 @@
 /**
 * 认证服务
- * 处理用户登录、注册、登出等认证相关操作
+ * 处理用户登录、注册、OAuth、登出等认证相关操作
 */

 import { http, tokenManager, ApiError } from './api';
-import type { AuthData, LoginRequest, RegisterRequest, UserInfo } from '../types/api';
+import type {
+  AuthData,
+  GoogleAuthUrlData,
+  GoogleOAuthCallbackRequest,
+  LoginRequest,
+  RegisterRequest,
+  UserInfoData,
+  UserInfo,
+} from '../types/api';

-// 重新导出 ApiErrorMessages 以便使用
 export { ApiErrorMessages } from '../types/api';

-/**
- * 从 JWT Token 解析用户信息
- */
-function parseJwtPayload(token: string): UserInfo | null {
+function decodeJwtPayload(token: string): UserInfo | null {
  try {
-    // 移除 Bearer 前缀
    const actualToken = token.replace('Bearer ', '');
    const base64Payload = actualToken.split('.')[1];
-    const payload = JSON.parse(atob(base64Payload));
+    const normalized = base64Payload.replace(/-/g, '+').replace(/_/g, '/');
+    const padded = normalized.padEnd(Math.ceil(normalized.length / 4) * 4, '=');
+    const payload = JSON.parse(atob(padded));
    return payload as UserInfo;
  } catch {
    return null;
  }
 }

-/**
- * 认证服务
- */
+function normalizeUser(payload: UserInfo, emailHint?: string): UserInfo {
+  return {
+    ...payload,
+    email: payload.email || emailHint || '',
+    id: String(payload.user_id),
+  };
+}
+
+function buildSession(authData: AuthData, emailHint?: string): { user: UserInfo; token: string; expiresAt: number } {
+  const { token, expires_at } = authData;
+  const parsedUser = decodeJwtPayload(token);
+
+  if (!parsedUser) {
+    throw new ApiError(-1, 'Token 解析失败');
+  }
+
+  const user = normalizeUser(parsedUser, emailHint);
+  tokenManager.setToken(token, expires_at, user.email || undefined);
+
+  return {
+    user,
+    token,
+    expiresAt: expires_at,
+  };
+}
+
 export const authService = {
-  /**
-   * 用户登录
-   */
  async login(credentials: LoginRequest): Promise<{ user: UserInfo; token: string; expiresAt: number }> {
    const response = await http.post<AuthData>('/user/login', credentials, { skipAuth: true });

@@ -38,35 +63,9 @@ export const authService = {
      throw new ApiError(-1, '登录失败，请重试');
    }

-    const { token, expires_at } = response.data;
-
-    // 存储 Token 和 email
-    tokenManager.setToken(token, expires_at, credentials.email);
-
-    // 解析用户信息
-    const user = parseJwtPayload(token);
-    if (!user) {
-      throw new ApiError(-1, 'Token 解析失败');
-    }
-
-    // 补充 email 和 id 兼容字段
-    const userWithEmail: UserInfo = {
-      ...user,
-      email: credentials.email,
-      id: String(user.user_id),
-    };
-
-    return {
-      user: userWithEmail,
-      token,
-      expiresAt: expires_at,
-    };
+    return buildSession(response.data, credentials.email);
  },

-  /**
-   * 用户注册
-   * 注意：业务错误码 (code !== 200) 已在 api.ts 中统一处理，会抛出 ApiError
-   */
  async register(credentials: RegisterRequest): Promise<{ user: UserInfo; token: string; expiresAt: number }> {
    const response = await http.post<AuthData>('/user/register', credentials, { skipAuth: true });

@@ -74,55 +73,58 @@ export const authService = {
      throw new ApiError(-1, '注册失败，请重试');
    }

-    const { token, expires_at } = response.data;
-
-    // 存储 Token 和 email
-    tokenManager.setToken(token, expires_at, credentials.email);
-
-    // 解析用户信息
-    const user = parseJwtPayload(token);
-    if (!user) {
-      throw new ApiError(-1, 'Token 解析失败');
-    }
-
-    // 补充 email 和 id 兼容字段
-    const userWithEmail: UserInfo = {
-      ...user,
-      email: credentials.email,
-      id: String(user.user_id),
-    };
-
-    return {
-      user: userWithEmail,
-      token,
-      expiresAt: expires_at,
-    };
+    return buildSession(response.data, credentials.email);
+  },
+
+  async getGoogleOAuthUrl(redirectUri: string, state: string): Promise<{ authUrl: string }> {
+    const query = new URLSearchParams({ redirect_uri: redirectUri, state });
+    const response = await http.get<GoogleAuthUrlData>(`/user/oauth/google/url?${query.toString()}`, {
+      skipAuth: true,
+    });
+
+    if (!response.data?.auth_url) {
+      throw new ApiError(-1, '获取 Google 授权地址失败');
+    }
+
+    return { authUrl: response.data.auth_url };
+  },
+
+  async exchangeGoogleCode(
+    payload: GoogleOAuthCallbackRequest
+  ): Promise<{ user: UserInfo; token: string; expiresAt: number }> {
+    const response = await http.post<AuthData>('/user/oauth/google/callback', payload, { skipAuth: true });
+
+    if (!response.data) {
+      throw new ApiError(-1, 'Google 登录失败，请重试');
+    }
+
+    return buildSession(response.data);
+  },
+
+  async getUserInfo(): Promise<UserInfoData> {
+    const response = await http.get<UserInfoData>('/user/info', {
+      successCodes: [0, 200],
+    });
+
+    if (!response.data) {
+      throw new ApiError(-1, '获取用户信息失败');
+    }
+
+    return response.data;
  },

-  /**
-   * 用户登出
-   */
  logout(): void {
    tokenManager.removeToken();
  },

-  /**
-   * 检查是否已登录
-   */
  isAuthenticated(): boolean {
    return tokenManager.isTokenValid();
  },

-  /**
-   * 获取当前存储的 Token
-   */
  getToken(): string | null {
    return tokenManager.getToken();
  },

-  /**
-   * 从存储的 Token 恢复用户会话
-   */
  restoreSession(): { user: UserInfo; token: string; expiresAt: number } | null {
    const token = tokenManager.getToken();
    const expiresAt = tokenManager.getExpiresAt();
@@ -133,21 +135,14 @@ export const authService = {
      return null;
    }

-    const parsedUser = parseJwtPayload(token);
+    const parsedUser = decodeJwtPayload(token);
    if (!parsedUser) {
      tokenManager.removeToken();
      return null;
    }

-    // 补充 email 和 id 兼容字段
-    const user: UserInfo = {
-      ...parsedUser,
-      email: email || '',
-      id: String(parsedUser.user_id),
-    };
-
    return {
-      user,
+      user: normalizeUser(parsedUser, email || ''),
      token,
      expiresAt,
    };
@@ -156,4 +151,3 @@ export const authService = {

 export { ApiError };
 export default authService;
-
--- a/src/lib/imageGenerator.ts
+++ b/src/lib/imageGenerator.ts
@@ -63,54 +63,6 @@ function renderLatexToHtml(latex: string, fontSize: number): string {
  }
 }

-/**
- * Renders Markdown with LaTeX to HTML
- * For complex Markdown, we extract and render math blocks separately
- */
-function renderMarkdownToHtml(markdown: string, fontSize: number): string {
-  // Simple approach: extract LaTeX blocks and render them
-  // For full Markdown support, you'd use a Markdown parser
-  
-  let html = markdown;
-  
-  // Replace display math $$ ... $$
-  html = html.replace(/\$\$([\s\S]*?)\$\$/g, (_, latex) => {
-    try {
-      return `<div class="math-block">${katex.renderToString(latex.trim(), {
-        throwOnError: false,
-        displayMode: true,
-        output: 'html',
-        strict: false,
-      })}</div>`;
-    } catch {
-      return `<div class="math-block" style="color: red;">Error: ${latex}</div>`;
-    }
-  });
-  
-  // Replace inline math $ ... $
-  html = html.replace(/\$([^$\n]+)\$/g, (_, latex) => {
-    try {
-      return katex.renderToString(latex.trim(), {
-        throwOnError: false,
-        displayMode: false,
-        output: 'html',
-        strict: false,
-      });
-    } catch {
-      return `<span style="color: red;">Error: ${latex}</span>`;
-    }
-  });
-  
-  // Basic Markdown: newlines to <br>
-  html = html.replace(/\n/g, '<br>');
-  
-  return `
-    <div style="font-size: ${fontSize}px; line-height: 1.8; font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, sans-serif;">
-      ${html}
-    </div>
-  `;
-}
-
 /**
 * Waits for all KaTeX fonts to be loaded
 */
--- a/src/lib/mockService.ts
+++ b/src/lib/mockService.ts
@@ -93,16 +93,35 @@ Where:
    </mfrac>
  </mrow>
 </math>`,
-      mathml_word_content: `<m:oMath xmlns:m="http://schemas.openxmlformats.org/officeDocument/2006/math">
-  <m:f>
-    <m:num>
-      <m:r><m:t>-b ± √(b²-4ac)</m:t></m:r>
-    </m:num>
-    <m:den>
-      <m:r><m:t>2a</m:t></m:r>
-    </m:den>
-  </m:f>
-</m:oMath>`,
+      mml: `<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block">
+  <mml:mrow>
+    <mml:mi>x</mml:mi>
+    <mml:mo>=</mml:mo>
+    <mml:mfrac>
+      <mml:mrow>
+        <mml:mo>-</mml:mo>
+        <mml:mi>b</mml:mi>
+        <mml:mo>±</mml:mo>
+        <mml:msqrt>
+          <mml:mrow>
+            <mml:msup>
+              <mml:mi>b</mml:mi>
+              <mml:mn>2</mml:mn>
+            </mml:msup>
+            <mml:mo>-</mml:mo>
+            <mml:mn>4</mml:mn>
+            <mml:mi>a</mml:mi>
+            <mml:mi>c</mml:mi>
+          </mml:mrow>
+        </mml:msqrt>
+      </mml:mrow>
+      <mml:mrow>
+        <mml:mn>2</mml:mn>
+        <mml:mi>a</mml:mi>
+      </mml:mrow>
+    </mml:mfrac>
+  </mml:mrow>
+</mml:math>`,
      rendered_image_path: 'https://images.pexels.com/photos/3729557/pexels-photo-3729557.jpeg?auto=compress&cs=tinysrgb&w=800',
      created_at: new Date().toISOString(),
    };
@@ -161,7 +180,7 @@ Where:
      markdown_content: `# Analysis for ${filename}\n\nThis is a mock analysis result generated for the uploaded file.\n\n$$ E = mc^2 $$\n\nDetected content matches widely known physics formulas.`,
      latex_content: `\\documentclass{article}\n\\begin{document}\nSection{${filename}}\n\n\\[ E = mc^2 \\]\n\n\\end{document}`,
      mathml_content: `<math><mi>E</mi><mo>=</mo><mi>m</mi><msup><mi>c</mi><mn>2</mn></msup></math>`,
-      mathml_word_content: `<m:oMath><m:r><m:t>E=mc^2</m:t></m:r></m:oMath>`,
+      mml: `<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>E</mml:mi><mml:mo>=</mml:mo><mml:mi>m</mml:mi><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>`,
      rendered_image_path: 'https://images.pexels.com/photos/3729557/pexels-photo-3729557.jpeg?auto=compress&cs=tinysrgb&w=800', // Placeholder
      created_at: new Date().toISOString(),
    };
--- a/src/lib/seoHelper.ts
+++ b/src/lib/seoHelper.ts
@@ -0,0 +1,80 @@
+import { Language } from './translations';
+
+interface SEOContent {
+  title: string;
+  description: string;
+  keywords: string;
+}
+
+const seoContent: Record<Language, SEOContent> = {
+  zh: {
+    title: '⚡️ TexPixel - 公式识别工具',
+    description: '在线公式识别工具，支持印刷体和手写体数学公式识别，快速准确地将图片中的数学公式转换为可编辑文本。',
+    keywords: '公式识别,数学公式,OCR,手写公式识别,印刷体识别,AI识别,数学工具,免费,混合文字识别,texpixel,TexPixel',
+  },
+  en: {
+    title: '⚡️ TexPixel - Formula Recognition Tool',
+    description: 'Online formula recognition tool supporting printed and handwritten math formulas. Convert images to LaTeX, MathML, and Markdown quickly and accurately.',
+    keywords: 'formula recognition,math formula,OCR,handwriting recognition,latex,mathml,markdown,AI recognition,math tool,free,texpixel,TexPixel,document recognition',
+  },
+};
+
+/**
+ * Update document metadata based on current language
+ */
+export function updatePageMeta(language: Language): void {
+  const content = seoContent[language];
+  
+  // Update title
+  document.title = content.title;
+  
+  // Update HTML lang attribute
+  document.documentElement.lang = language === 'zh' ? 'zh-CN' : 'en';
+  
+  // Update meta description
+  const metaDescription = document.querySelector('meta[name="description"]');
+  if (metaDescription) {
+    metaDescription.setAttribute('content', content.description);
+  }
+  
+  // Update meta keywords
+  const metaKeywords = document.querySelector('meta[name="keywords"]');
+  if (metaKeywords) {
+    metaKeywords.setAttribute('content', content.keywords);
+  }
+  
+  // Update Open Graph meta tags
+  const ogTitle = document.querySelector('meta[property="og:title"]');
+  if (ogTitle) {
+    ogTitle.setAttribute('content', content.title);
+  }
+  
+  const ogDescription = document.querySelector('meta[property="og:description"]');
+  if (ogDescription) {
+    ogDescription.setAttribute('content', content.description);
+  }
+  
+  // Update Twitter Card meta tags
+  const twitterTitle = document.querySelector('meta[name="twitter:title"]');
+  if (twitterTitle) {
+    twitterTitle.setAttribute('content', content.title);
+  }
+  
+  const twitterDescription = document.querySelector('meta[name="twitter:description"]');
+  if (twitterDescription) {
+    twitterDescription.setAttribute('content', content.description);
+  }
+  
+  // Update og:locale
+  const ogLocale = document.querySelector('meta[property="og:locale"]');
+  if (ogLocale) {
+    ogLocale.setAttribute('content', language === 'zh' ? 'zh_CN' : 'en_US');
+  }
+}
+
+/**
+ * Get SEO content for a specific language
+ */
+export function getSEOContent(language: Language): SEOContent {
+  return seoContent[language];
+}
--- a/src/lib/supabase.ts
+++ b/src/lib/supabase.ts
@@ -61,7 +61,7 @@ export type Database = {
          markdown_content: string | null;
          latex_content: string | null;
          mathml_content: string | null;
-          mathml_word_content: string | null;
+          mml: string | null;
          rendered_image_path: string | null;
          created_at: string;
        };
@@ -71,7 +71,7 @@ export type Database = {
          markdown_content?: string | null;
          latex_content?: string | null;
          mathml_content?: string | null;
-          mathml_word_content?: string | null;
+          mml?: string | null;
          rendered_image_path?: string | null;
          created_at?: string;
        };
@@ -81,7 +81,7 @@ export type Database = {
          markdown_content?: string | null;
          latex_content?: string | null;
          mathml_content?: string | null;
-          mathml_word_content?: string | null;
+          mml?: string | null;
          rendered_image_path?: string | null;
          created_at?: string;
        };
--- a/src/lib/translations.ts
+++ b/src/lib/translations.ts
@@ -60,6 +60,15 @@ export const translations = {
      genericError: 'An error occurred, please try again',
      hasAccount: 'Already have an account? Login',
      noAccount: 'No account? Register',
+      continueWithGoogle: 'Google',
+      emailHint: 'Used only for sign-in and history sync.',
+      passwordHint: 'Use at least 6 characters. Letters and numbers are recommended.',
+      confirmPassword: 'Confirm Password',
+      passwordMismatch: 'The two passwords do not match.',
+      oauthRedirecting: 'Redirecting to Google...',
+      oauthExchanging: 'Completing Google sign-in...',
+      invalidOAuthState: 'Invalid OAuth state, please retry.',
+      oauthFailed: 'Google sign-in failed, please retry.',
    },
    export: {
      title: 'Export',
@@ -70,6 +79,8 @@ export const translations = {
      },
      failed: 'Export failed, please try again',
      imageFailed: 'Failed to generate image',
+      noContent: 'Mixed text and formulas do not support LaTeX/MathML export. Please download DOCX format instead.',
+      noContentShort: 'Not supported for mixed content',
    },
    guide: {
      next: 'Next',
@@ -154,6 +165,15 @@ export const translations = {
      genericError: '发生错误，请重试',
      hasAccount: '已有账号？去登录',
      noAccount: '没有账号？去注册',
+      continueWithGoogle: 'Google',
+      emailHint: '仅用于登录和同步记录。',
+      passwordHint: '密码至少 6 位，建议使用字母和数字组合。',
+      confirmPassword: '确认密码',
+      passwordMismatch: '两次输入的密码不一致。',
+      oauthRedirecting: '正在跳转 Google...',
+      oauthExchanging: '正在完成 Google 登录...',
+      invalidOAuthState: 'OAuth 状态校验失败，请重试',
+      oauthFailed: 'Google 登录失败，请重试',
    },
    export: {
      title: '导出',
@@ -164,6 +184,8 @@ export const translations = {
      },
      failed: '导出失败，请重试',
      imageFailed: '生成图片失败',
+      noContent: '混合文字内容不支持 LaTeX/MathML 导出，请下载 DOCX 文件。',
+      noContentShort: '混合内容不支持',
    },
    guide: {
      next: '下一步',
--- a/src/main.tsx
+++ b/src/main.tsx
@@ -1,16 +1,44 @@
 import { StrictMode } from 'react';
 import { createRoot } from 'react-dom/client';
-import App from './App.tsx';
 import './index.css';
 import { AuthProvider } from './contexts/AuthContext';
 import { LanguageProvider } from './contexts/LanguageContext';
+import { BrowserRouter } from 'react-router-dom';
+import AppRouter from './routes/AppRouter';

-createRoot(document.getElementById('root')!).render(
+// 错误处理：捕获未处理的错误
+window.addEventListener('error', (event) => {
+  console.error('Global error:', event.error);
+});
+
+window.addEventListener('unhandledrejection', (event) => {
+  console.error('Unhandled promise rejection:', event.reason);
+});
+
+const rootElement = document.getElementById('root');
+if (!rootElement) {
+  throw new Error('Root element not found');
+}
+
+try {
+  createRoot(rootElement).render(
    <StrictMode>
+      <BrowserRouter>
        <AuthProvider>
          <LanguageProvider>
-        <App />
+            <AppRouter />
          </LanguageProvider>
        </AuthProvider>
+      </BrowserRouter>
    </StrictMode>
-);
+  );
+} catch (error) {
+  console.error('Failed to render app:', error);
+  rootElement.innerHTML = `
+    <div style="padding: 20px; font-family: sans-serif;">
+      <h1>应用启动失败</h1>
+      <p>错误信息: ${error instanceof Error ? error.message : String(error)}</p>
+      <p>请检查浏览器控制台获取更多信息。</p>
+    </div>
+  `;
+}
--- a/src/pages/AuthCallbackPage.tsx
+++ b/src/pages/AuthCallbackPage.tsx
@@ -0,0 +1,81 @@
+import { useEffect, useMemo, useState } from 'react';
+import { useNavigate, useSearchParams } from 'react-router-dom';
+import { useAuth, OAUTH_POST_LOGIN_REDIRECT_KEY } from '../contexts/AuthContext';
+import { useLanguage } from '../contexts/LanguageContext';
+
+function toInternalPath(urlOrPath: string): string {
+  try {
+    const parsed = new URL(urlOrPath, window.location.origin);
+    if (parsed.origin !== window.location.origin) {
+      return '/';
+    }
+
+    return `${parsed.pathname}${parsed.search}${parsed.hash}`;
+  } catch {
+    return '/';
+  }
+}
+
+export default function AuthCallbackPage() {
+  const navigate = useNavigate();
+  const [searchParams] = useSearchParams();
+  const { completeGoogleOAuth } = useAuth();
+  const { t } = useLanguage();
+  const [error, setError] = useState<string | null>(null);
+
+  const code = useMemo(() => searchParams.get('code') ?? '', [searchParams]);
+  const state = useMemo(() => searchParams.get('state') ?? '', [searchParams]);
+
+  useEffect(() => {
+    let mounted = true;
+
+    const run = async () => {
+      if (!code || !state) {
+        if (mounted) {
+          setError(t.auth.oauthFailed);
+        }
+        return;
+      }
+
+      const redirectUri = `${window.location.origin}/auth/google/callback`;
+      const result = await completeGoogleOAuth({ code, state, redirect_uri: redirectUri });
+
+      if (result.error) {
+        if (mounted) {
+          setError(result.error.message || t.auth.oauthFailed);
+        }
+        return;
+      }
+
+      const redirectTarget = sessionStorage.getItem(OAUTH_POST_LOGIN_REDIRECT_KEY) || '/';
+      navigate(toInternalPath(redirectTarget), { replace: true });
+    };
+
+    run();
+
+    return () => {
+      mounted = false;
+    };
+  }, [code, completeGoogleOAuth, navigate, state, t.auth.oauthFailed]);
+
+  return (
+    <div className="min-h-screen bg-gray-50 flex items-center justify-center p-4">
+      <div className="bg-white rounded-xl shadow-xl w-full max-w-md p-6 text-center">
+        <h1 className="text-xl font-bold text-gray-900 mb-3">Google OAuth</h1>
+        {!error && <p className="text-gray-600">{t.auth.oauthExchanging}</p>}
+        {error && (
+          <>
+            <p className="text-red-600 text-sm mb-4">{error}</p>
+            <button
+              type="button"
+              onClick={() => navigate('/', { replace: true })}
+              className="px-4 py-2 bg-gray-900 text-white rounded-lg hover:bg-gray-800 transition-colors"
+            >
+              Back Home
+            </button>
+          </>
+        )}
+      </div>
+    </div>
+  );
+}
--- a/src/routes/AppRouter.tsx
+++ b/src/routes/AppRouter.tsx
@@ -0,0 +1,12 @@
+import { Routes, Route } from 'react-router-dom';
+import App from '../App';
+import AuthCallbackPage from '../pages/AuthCallbackPage';
+
+export default function AppRouter() {
+  return (
+    <Routes>
+      <Route path="/" element={<App />} />
+      <Route path="/auth/google/callback" element={<AuthCallbackPage />} />
+    </Routes>
+  );
+}
--- a/src/test/setup.ts
+++ b/src/test/setup.ts
@@ -0,0 +1 @@
+import '@testing-library/jest-dom/vitest';
--- a/src/types/api.ts
+++ b/src/types/api.ts
@@ -14,10 +14,26 @@ export interface AuthData {
  expires_at: number;
 }

+export interface UserInfoData {
+  username: string;
+  email: string;
+}
+
+export interface GoogleAuthUrlData {
+  auth_url: string;
+}
+
+export interface GoogleOAuthCallbackRequest {
+  code: string;
+  state: string;
+  redirect_uri: string;
+}
+
 // 用户信息（从 token 解析或 API 返回）
 export interface UserInfo {
  user_id: number;
  email: string;
+  username?: string;
  exp: number;
  iat: number;
  // 兼容字段，方便代码使用
@@ -79,7 +95,7 @@ export interface RecognitionResultData {
  latex: string;
  markdown: string;
  mathml: string;
-  mathml_mw: string; // MathML for Word
+  mml: string; // MathML with mml: prefix
  image_blob: string; // Base64 or URL? assuming string content
  docx_url: string;
  pdf_url: string;
@@ -96,7 +112,7 @@ export interface TaskHistoryItem {
  latex: string;
  markdown: string;
  mathml: string;
-  mathml_mw: string;
+  mml: string;
  image_blob: string;
  docx_url: string;
  pdf_url: string;
--- a/src/types/index.ts
+++ b/src/types/index.ts
@@ -17,7 +17,7 @@ export interface RecognitionResult {
  markdown_content: string | null;
  latex_content: string | null;
  mathml_content: string | null;
-  mathml_word_content: string | null;
+  mml: string | null;
  rendered_image_path: string | null;
  created_at: string;
 }
@@ -26,7 +26,6 @@ export type ExportFormat =
  | 'markdown'
  | 'latex'
  | 'mathml'
-  | 'mathml-word'
  | 'image'
  | 'docx'
  | 'pdf'
--- a/vitest.config.ts
+++ b/vitest.config.ts
@@ -0,0 +1,12 @@
+import { defineConfig } from 'vitest/config';
+import react from '@vitejs/plugin-react';
+
+export default defineConfig({
+  plugins: [react()],
+  test: {
+    environment: 'jsdom',
+    setupFiles: ['./src/test/setup.ts'],
+    globals: true,
+    exclude: ['e2e/**', 'node_modules/**', 'dist/**'],
+  },
+});
Author	SHA1	Message	Date
liuyuanchuang	f70a9a85c8	feat: add google oauth	2026-03-06 14:30:30 +08:00
liuyuanchuang	bc4b547e03	Merge branch 'main' of https://code.texpixel.com/YogeLiu/doc_ai_frontend	2026-02-06 22:33:58 +08:00
liuyuanchuang	e4c6a09cf8	feat: rm dist	2026-02-05 18:23:17 +08:00
liuyuanchuang	2b1da79bbc	feat: add toast for no content	2026-02-05 18:22:30 +08:00
YogeLiu	564aaec581	Merge pull request 'feat: add track point && rm omml' (#1 ) from test into main Reviewed-on: #1	2026-02-05 13:49:19 +08:00
liuyuanchuang	d562d67203	feat: add track point	2026-01-27 23:44:45 +08:00