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  • 01_tio-boot 简介

    • tio-boot:新一代高性能 Java Web 开发框架
    • tio-boot 入门示例
    • Tio-Boot 配置 : 现代化的配置方案
    • tio-boot 整合 Logback
    • tio-boot 整合 hotswap-classloader 实现热加载
    • 自行编译 tio-boot
    • 最新版本
    • 开发规范
  • 02_部署

    • 使用 Maven Profile 实现分环境打包 tio-boot 项目
    • Maven 项目配置详解:依赖与 Profiles 配置
    • tio-boot 打包成 FastJar
    • 使用 GraalVM 构建 tio-boot Native 程序
    • 使用 Docker 部署 tio-boot
    • 部署到 Fly.io
    • 部署到 AWS Lambda
    • 到阿里云云函数
    • 使用 Deploy 工具部署
    • 胖包与瘦包的打包与部署
    • 使用 Jenkins 部署 Tio-Boot 项目
    • 使用 Nginx 反向代理 Tio-Boot
    • 使用 Supervisor 管理 Java 应用
  • 03_配置

    • 配置参数
    • 服务器监听器
    • 内置缓存系统 AbsCache
    • 使用 Redis 作为内部 Cache
    • 静态文件处理器
    • 基于域名的静态资源隔离
    • DecodeExceptionHandler
  • 04_原理

    • 生命周期
    • 请求处理流程
    • 重要的类
  • 05_json

    • Json
    • 接受 JSON 和响应 JSON
    • 响应实体类
  • 06_web

    • 概述
    • 文件上传
    • 接收请求参数
    • 接收日期参数
    • 接收数组参数
    • 返回字符串
    • 返回文本数据
    • 返回网页
    • 请求和响应字节
    • 文件下载
    • 返回视频文件并支持断点续传
    • http Session
    • Cookie
    • HttpRequest
    • HttpResponse
    • Resps
    • RespBodyVo
    • /zh/06_web/19.html
    • 全局异常处理器
    • 异步
    • 动态 返回 CSS 实现
    • 返回图片
    • Transfer-Encoding: chunked 实时音频播放
    • Server-Sent Events (SSE)
    • 接口访问统计
    • 接口请求和响应数据记录
    • 自定义 Handler 转发请求
    • 使用 HttpForwardHandler 转发所有请求
    • 跨域
    • 添加 Controller
    • 常用工具类
    • HTTP Basic 认证
    • WebJars
    • JProtobuf
  • 07_validate

    • 数据紧校验规范
    • 参数校验
  • 08_websocket

    • 使用 tio-boot 搭建 WebSocket 服务
    • WebSocket 聊天室项目示例
  • 09_java-db

    • java‑db
    • 操作数据库入门示例
    • SQL 模板
    • 数据源配置与使用
    • ActiveRecord
    • Model
    • 生成器与 Model
    • Db 工具类
    • 批量操作
    • 数据库事务处理
    • Cache 缓存
    • Dialect 多数据库支持
    • 表关联操作
    • 复合主键
    • Oracle 支持
    • Enjoy SQL 模板
    • Java-DB 整合 Enjoy 模板最佳实践
    • 多数据源支持
    • 独立使用 ActiveRecord
    • 调用存储过程
    • java-db 整合 Guava 的 Striped 锁优化
    • 生成 SQL
    • 通过实体类操作数据库
    • java-db 读写分离
    • Spring Boot 整合 Java-DB
    • like 查询
    • 常用操作示例
    • Druid 监控集成指南
    • SQL 统计
  • 10_api-table

    • ApiTable 概述
    • 使用 ApiTable 连接 SQLite
    • 使用 ApiTable 连接 Mysql
    • 使用 ApiTable 连接 Postgres
    • 使用 ApiTable 连接 TDEngine
    • 使用 api-table 连接 oracle
    • 使用 api-table 连接 mysql and tdengine 多数据源
    • EasyExcel 导出
    • EasyExcel 导入
    • TQL(Table SQL)前端输入规范
    • ApiTable 实现增删改查
    • 数组类型
    • 单独使用 ApiTable
  • 11_aop

    • JFinal-aop
    • Aop 工具类
    • 配置
    • 配置
    • 独立使用 JFinal Aop
    • @AImport
    • 原理解析
  • 12_cache

    • Caffine
    • Jedis-redis
    • hutool RedisDS
    • Redisson
    • Caffeine and redis
    • CacheUtils 工具类
    • 使用 CacheUtils 整合 caffeine 和 redis 实现的两级缓存
    • 使用 java-db 整合 ehcache
    • 使用 java-db 整合 redis
    • Java DB Redis 相关 Api
    • redis 使用示例
  • 13_认证和权限

    • hutool-JWT
    • FixedTokenInterceptor
    • 使用内置 TokenManager 实现登录
    • 用户系统
    • 重置密码
    • 匿名登录
    • Google 登录
    • 权限校验注解
    • Sa-Token
    • sa-token 登录注册
    • StpUtil.isLogin() 源码解析
    • 短信登录
    • 移动端微信登录实现指南
    • 移动端重置密码
  • 14_i18n

    • i18n
  • 15_enjoy

    • tio-boot 整合 Enjoy 模版引擎文档
    • 引擎配置
    • 表达式
    • 指令
    • 注释
    • 原样输出
    • Shared Method 扩展
    • Shared Object 扩展
    • Extension Method 扩展
    • Spring boot 整合
    • 独立使用 Enjoy
    • tio-boot enjoy 自定义指令 localeDate
    • PromptEngine
    • Enjoy 入门示例-擎渲染大模型请求体
    • Enjoy 使用示例
  • 16_定时任务

    • Quartz 定时任务集成指南
    • 分布式定时任务 xxl-jb
    • cron4j 使用指南
  • 17_tests

    • TioBootTest 类
  • 18_tio

    • TioBootServer
    • tio-core
    • 内置 TCP 处理器
    • 独立启动 UDPServer
    • 使用内置 UDPServer
    • t-io 消息处理流程
    • tio-运行原理详解
    • TioConfig
    • ChannelContext
    • Tio 工具类
    • 业务数据绑定
    • 业务数据解绑
    • 发送数据
    • 关闭连接
    • Packet
    • 监控: 心跳
    • 监控: 客户端的流量数据
    • 监控: 单条 TCP 连接的流量数据
    • 监控: 端口的流量数据
    • 单条通道统计: ChannelStat
    • 所有通道统计: GroupStat
    • 资源共享
    • 成员排序
    • ssl
    • DecodeRunnable
    • 使用 AsynchronousSocketChannel 响应数据
    • 拉黑 IP
    • 深入解析 Tio 源码:构建高性能 Java 网络应用
  • 19_aio

    • ByteBuffer
    • AIO HTTP 服务器
    • 自定义和线程池和池化 ByteBuffer
    • AioHttpServer 应用示例 IP 属地查询
    • 手写 AIO Http 服务器
  • 20_netty

    • Netty TCP Server
    • Netty Web Socket Server
    • 使用 protoc 生成 Java 包文件
    • Netty WebSocket Server 二进制数据传输
    • Netty 组件详解
  • 21_netty-boot

    • Netty-Boot
    • 原理解析
    • 整合 Hot Reload
    • 整合 数据库
    • 整合 Redis
    • 整合 Elasticsearch
    • 整合 Dubbo
    • Listener
    • 文件上传
    • 拦截器
    • Spring Boot 整合 Netty-Boot
    • SSL 配置指南
    • ChannelInitializer
    • Reserve
  • 22_MQ

    • Mica-mqtt
    • EMQX
    • Disruptor
  • 23_tio-utils

    • tio-utils
    • HttpUtils
    • Notification
    • 邮箱
    • JSON
    • 读取文件
    • Base64
    • 上传和下载
    • Http
    • Telegram
    • RsaUtils
    • EnvUtils 使用文档
    • 系统监控
    • 毫秒并发 ID (MCID) 生成方案
  • 24_tio-http-server

    • 使用 Tio-Http-Server 搭建简单的 HTTP 服务
    • tio-boot 添加 HttpRequestHandler
    • 在 Android 上使用 tio-boot 运行 HTTP 服务
    • tio-http-server-native
    • handler 常用操作
  • 25_tio-websocket

    • WebSocket 服务器
    • WebSocket Client
  • 26_tio-im

    • 通讯协议文档
    • ChatPacket.proto 文档
    • java protobuf
    • 数据表设计
    • 创建工程
    • 登录
    • 历史消息
    • 发消息
  • 27_mybatis

    • Tio-Boot 整合 MyBatis
    • 使用配置类方式整合 MyBatis
    • 整合数据源
    • 使用 mybatis-plus 整合 tdengine
    • 整合 mybatis-plus
  • 28_mongodb

    • tio-boot 使用 mongo-java-driver 操作 mongodb
  • 29_elastic-search

    • Elasticsearch
    • JavaDB 整合 ElasticSearch
    • Elastic 工具类使用指南
    • Elastic-search 注意事项
    • ES 课程示例文档
  • 30_magic-script

    • tio-boot 整合 magic-script
  • 31_groovy

    • tio-boot 整合 Groovy
  • 32_firebase

    • 整合 google firebase
    • Firebase Storage
    • Firebase Authentication
    • 使用 Firebase Admin SDK 进行匿名用户管理与自定义状态标记
    • 导出用户
    • 注册回调
    • 登录注册
  • 33_文件存储

    • 文件上传数据表
    • 本地存储
    • 使用 AWS S3 存储文件并整合到 Tio-Boot 项目中
    • 存储文件到 腾讯 COS
  • 34_spider

    • jsoup
    • 爬取 z-lib.io 数据
    • 整合 WebMagic
    • WebMagic 示例:爬取学校课程数据
    • Playwright
    • Flexmark (Markdown 处理器)
    • tio-boot 整合 Playwright
    • 缓存网页数据
  • 36_integration_thirty_party

    • tio-boot 整合 okhttp
    • 整合 GrpahQL
    • 集成 Mailjet
    • 整合 ip2region
    • 整合 GeoLite 离线库
    • 整合 Lark 机器人指南
    • 集成 Lark Mail 实现邮件发送
    • Thymeleaf
    • Swagger
    • Clerk 验证
  • 37_dubbo

    • 概述
    • dubbo 2.6.0
    • dubbo 2.6.0 调用过程
    • dubbo 3.2.0
  • 38_spring

    • Spring Boot Web 整合 Tio Boot
    • spring-boot-starter-webflux 整合 tio-boot
    • Tio Boot 整合 Spring Boot Starter
    • Tio Boot 整合 Spring Boot Starter Data Redis 指南
  • 39_spring-cloud

    • tio-boot spring-cloud
  • 40_mysql

    • 使用 Docker 运行 MySQL
    • /zh/42_mysql/02.html
  • 41_postgresql

    • PostgreSQL 安装
    • PostgreSQL 主键自增
    • PostgreSQL 日期类型
    • Postgresql 金融类型
    • PostgreSQL 数组类型
    • PostgreSQL 全文检索
    • PostgreSQL 查询优化
    • 获取字段类型
    • PostgreSQL 向量
    • PostgreSQL 优化向量查询
    • PostgreSQL 其他
  • 43_oceanbase

    • 快速体验 OceanBase 社区版
    • 快速上手 OceanBase 数据库单机部署与管理
    • 诊断集群性能
    • 优化 SQL 性能指南
    • /zh/43_oceanbase/05.html
  • 50_media

    • JAVE 提取视频中的声音
    • Jave 提取视频中的图片
    • /zh/50_media/03.html
  • 51_asr

    • Whisper-JNI
  • 54_native-media

    • java-native-media
    • JNI 入门示例
    • mp3 拆分
    • mp4 转 mp3
    • 使用 libmp3lame 实现高质量 MP3 编码
    • Linux 编译
    • macOS 编译
    • 从 JAR 包中加载本地库文件
    • 支持的音频和视频格式
    • 任意格式转为 mp3
    • 通用格式转换
    • 通用格式拆分
    • 视频合并
    • VideoToHLS
    • split_video_to_hls 支持其他语言
    • 持久化 HLS 会话
  • 55_telegram4j

    • 数据库设计
    • /zh/55_telegram4j/02.html
    • 基于 MTProto 协议开发 Telegram 翻译机器人
    • 过滤旧消息
    • 保存机器人消息
    • 定时推送
    • 增加命令菜单
    • 使用 telegram-Client
    • 使用自定义 StoreLayout
    • 延迟测试
    • Reactor 错误处理
    • Telegram4J 常见错误处理指南
  • 56_telegram-bots

    • TelegramBots 入门指南
    • 使用工具库 telegram-bot-base 开发翻译机器人
  • 60_LLM

    • 简介
    • AI 问答
    • /zh/60_LLM/03.html
    • /zh/60_LLM/04.html
    • 增强检索(RAG)
    • 结构化数据检索
    • 搜索+AI
    • 集成第三方 API
    • 后置处理
    • 推荐问题生成
    • 连接代码执行器
    • 避免 GPT 混乱
    • /zh/60_LLM/13.html
  • 61_ai_agent

    • 数据库设计
    • 示例问题管理
    • 会话管理
    • 历史记录
    • 对接 Perplexity API
    • 意图识别与生成提示词
    • 智能问答模块设计与实现
    • 文件上传与解析文档
    • 翻译
    • 名人搜索功能实现
    • Ai studio gemini youbue 问答使用说明
    • 自建 YouTube 字幕问答系统
    • 自建 获取 youtube 字幕服务
    • 通用搜索
    • /zh/61_ai_agent/15.html
    • 16
    • 17
    • 18
    • 在 tio-boot 应用中整合 ai-agent
    • 16
  • 62_translator

    • 简介
  • 63_knowlege_base

    • 数据库设计
    • 用户登录实现
    • 模型管理
    • 知识库管理
    • 文档拆分
    • 片段向量
    • 命中测试
    • 文档管理
    • 片段管理
    • 问题管理
    • 应用管理
    • 向量检索
    • 推理问答
    • 问答模块
    • 统计分析
    • 用户管理
    • api 管理
    • 存储文件到 S3
    • 文档解析优化
    • 片段汇总
    • 段落分块与检索
    • 多文档解析
    • 对话日志
    • 检索性能优化
    • Milvus
    • 文档解析方案和费用对比
    • 离线运行向量模型
  • 64_ai-search

    • ai-search 项目简介
    • ai-search 数据库文档
    • ai-search SearxNG 搜索引擎
    • ai-search Jina Reader API
    • ai-search Jina Search API
    • ai-search 搜索、重排与读取内容
    • ai-search PDF 文件处理
    • ai-search 推理问答
    • Google Custom Search JSON API
    • ai-search 意图识别
    • ai-search 问题重写
    • ai-search 系统 API 接口 WebSocket 版本
    • ai-search 搜索代码实现 WebSocket 版本
    • ai-search 生成建议问
    • ai-search 生成问题标题
    • ai-search 历史记录
    • Discover API
    • 翻译
    • Tavily Search API 文档
    • 对接 Tavily Search
    • 火山引擎 DeepSeek
    • 对接 火山引擎 DeepSeek
    • ai-search 搜索代码实现 SSE 版本
    • jar 包部署
    • Docker 部署
    • 爬取一个静态网站的所有数据
    • 网页数据预处理
    • 网页数据检索与问答流程整合
  • 65_java-linux

    • Java 执行 python 代码
    • 通过大模型执行 Python 代码
    • MCP 协议
    • Cline 提示词
    • Cline 提示词-中文版本
  • 66_manim

    • Manim 开发环境搭建
    • 生成场景提示词
    • 生成代码
    • 完整脚本示例
    • 语音合成系统
    • Fish.audio TTS 接口说明文档与 Java 客户端封装
    • 整合 fishaudio 到 java-uni-ai-server 项目
    • 执行 Python (Manim) 代码
    • 使用 SSE 流式传输生成进度的实现文档
    • 整合全流程完整文档
    • HLS 动态推流技术文档
    • manim 分场景生成代码
    • 分场景运行代码及流式播放支持
    • 分场景业务端完整实现流程
    • Maiim布局管理器
    • 仅仅生成场景代码
    • 使用 modal 运行 manim 代码
    • Python 使用 Modal GPU 加速渲染
    • Modal 平台 GPU 环境下运行 Manim
    • Modal Manim OpenGL 安装与使用
    • 优化 GPU 加速
    • 生成视频封面流程
    • Java 调用 manim 命令 执行代码 生成封面
    • Manim 图像生成服务客户端文档
    • /zh/66_manim/25.html
    • /zh/66_manim/26.html
    • /zh/66_manim/27.html
  • 70_tio-boot-admin

    • 入门指南
    • 初始化数据
    • token 存储
    • 与前端集成
    • 文件上传
    • 网络请求
    • 图片管理
    • /zh/70_tio-boot-admin/08.html
    • Word 管理
    • PDF 管理
    • 文章管理
    • 富文本编辑器
  • 71_tio-boot

    • /zh/71_tio-boot/01.html
    • Swagger 整合到 Tio-Boot 中的指南
    • HTTP/1.1 Pipelining 性能测试报告
  • 80_性能测试

    • 压力测试 - tio-http-serer
    • 压力测试 - tio-boot
    • 压力测试 - tio-boot-native
    • 压力测试 - netty-boot
    • 性能测试对比
    • TechEmpower FrameworkBenchmarks
    • 压力测试 - tio-boot 12 C 32G
  • 99_案例

    • 封装 IP 查询服务
    • tio-boot 案例 - 全局异常捕获与企业微信群通知
    • tio-boot 案例 - 文件上传和下载
    • tio-boot 案例 - 整合 ant design pro 增删改查
    • tio-boot 案例 - 流失响应
    • tio-boot 案例 - 增强检索
    • tio-boot 案例 - 整合 function call
    • tio-boot 案例 - 定时任务 监控 PostgreSQL、Redis 和 Elasticsearch
    • Tio-Boot 案例:使用 SQLite 整合到登录注册系统
    • tio-boot 案例 - 执行 shell 命令

PYPH 151 homework 1 Quesiton 2

Quesiton

  1. Explain why a vector cannot have a component greater than its own magnitude.

A vector’s magnitude is the Pythagorean sum of its components (i.e. (a = \sqrt{d_x^2 + d_y^2})). Squaring both sides gives (a^2 = d_x^2 + d_y^2). Since a square is always positive or zero, it must be that the magnitude squared ((a^2)) is itself always equal or greater than either of the components squared ((d_x^2) or (d_y^2)). This implies that any given component of a vector is never greater than the vector’s magnitude.


Sence Prompt

Okay, here's the explanation of why a vector's component cannot be greater than its own magnitude, along with a breakdown to make it clear:

The Basic Idea

A vector's component represents its "projection" onto a specific axis (like the x-axis or y-axis). The component is effectively the "shadow" the vector casts on that axis. A shadow cannot be longer than the object casting it!

Detailed Explanation

  1. Vector Representation:

    • Imagine a vector V in a 2D space (it works the same in 3D, just harder to visualize). We can represent it as having components along the x-axis (Vx) and the y-axis (Vy). These components are scalars (just numbers) that tell us how much the vector points in each direction.
  2. Magnitude:

    • The magnitude of the vector, denoted as |V|, is its length. It's calculated using the Pythagorean theorem:
      • |V| = √(Vx² + Vy²)
  3. Components as Projections:

    • Vx is the projection of V onto the x-axis.
    • Vy is the projection of V onto the y-axis.
  4. The Key Relationship: Trigonometry

    • Let's say the angle between vector V and the x-axis is θ (theta). Then:

      • Vx = |V| * cos(θ)
      • Vy = |V| * sin(θ)
    • The sine and cosine functions have a crucial property: their values are always between -1 and 1 (inclusive). That is, -1 ≤ cos(θ) ≤ 1 and -1 ≤ sin(θ) ≤ 1.

  5. Why Components Can't Exceed Magnitude

    • Because sine and cosine are bounded between -1 and 1, multiplying the magnitude |V| by cos(θ) or sin(θ) can only reduce or reverse the direction of the magnitude. It can never increase the magnitude's value.

    • Therefore:

      • |Vx| = | |V| * cos(θ) | ≤ |V| (the absolute value of Vx must be less than or equal to the absolute value of V)
      • |Vy| = | |V| * sin(θ) | ≤ |V|
    • This means the absolute value of any component can be at most equal to the magnitude, but never greater.

    • The component can be negative, of course. A negative component indicates that the vector points in the opposite direction of the axis. However, the absolute value of the component, which represents its "length" along that axis, cannot exceed the vector's overall magnitude.

Analogy

Think of a ladder leaning against a wall. The ladder is the vector. The height the ladder reaches on the wall is one component, and the distance from the wall to the base of the ladder is the other component. The ladder itself is the hypotenuse of a right triangle. The hypotenuse (the magnitude of the vector/the length of the ladder) is always longer than either side (the components).

In summary:

The component of a vector represents the projection of that vector onto an axis. Because this projection is always "shorter" (or at most the same length) as the original vector, the magnitude of the component cannot be greater than the magnitude of the original vector. This is fundamentally because of the limitations of trigonometric functions (sine and cosine) and the geometry of right triangles.

Code

# -*- coding: utf-8 -*-
import os
import numpy as np
import requests
from contextlib import contextmanager
from manim import *
import hashlib
import manimpango # For font checking

from moviepy import AudioFileClip # Correct import for AudioFileClip

# --- Custom Colors ---
MY_DARK_BLUE = "#1E3A8A"  # Dark Blue
MY_LIGHT_GRAY = "#F3F4F6"  # Light Gray
MY_MEDIUM_GRAY = "#D1D5DB"  # Medium Gray
MY_GOLD = "#F59E0B"  # Gold
MY_ORANGE = "#F97316"  # Orange
MY_RED = "#DC2626"  # Red
MY_WHITE = "#FFFFFF"  # White
MY_BLACK = "#000000"  # Black
MY_YELLOW = "#FBBF24" # Yellow for vector
MY_GREEN = "#10B981" # Green for components
MY_PURPLE = "#8B5CF6" # Purple for angle/highlight

# --- Font Check ---
DEFAULT_FONT = "Noto Sans" # A common sans-serif font
available_fonts = manimpango.list_fonts()
final_font = None

if DEFAULT_FONT in available_fonts:
    print(f"Font '{DEFAULT_FONT}' found.")
    final_font = DEFAULT_FONT
else:
    print(f"Warning: Font '{DEFAULT_FONT}' not found. Trying fallback fonts...")
    # Common fallbacks, adjust as needed
    fallback_fonts = ["Arial", "Helvetica", "Verdana", "Tahoma", "DejaVu Sans"]
    found_fallback = False
    for font in fallback_fonts:
        if font in available_fonts:
            print(f"Switched to fallback font: '{font}'")
            final_font = font
            found_fallback = True
            break
    if not found_fallback:
        print(f"Warning: Neither '{DEFAULT_FONT}' nor any fallback fonts were found. Using Manim's default font.")
        # final_font remains None

# --- TTS Caching Setup ---
CACHE_DIR = "tts_cache"
os.makedirs(CACHE_DIR, exist_ok=True)


class CustomVoiceoverTracker:
    """Tracks audio path and duration for TTS."""

    def __init__(self, audio_path, duration):
        self.audio_path = audio_path
        self.duration = duration


def get_cache_filename(text):
    """Generates a unique filename based on the text hash."""
    # Use a hash of the text for a unique filename
    text_hash = hashlib.md5(text.encode('utf-8')).hexdigest()
    return os.path.join(CACHE_DIR, f"{text_hash}.mp3")


@contextmanager
def custom_voiceover_tts(text, token="123456", base_url="https://uni-ai.fly.dev/api/manim/tts"):
    """
    Fetches TTS audio, caches it, and provides path and duration.
    Usage: with custom_voiceover_tts("text") as tracker: ...
    """
    cache_file = get_cache_filename(text)
    audio_file = cache_file # Initialize audio_file

    if os.path.exists(cache_file):
        # print(f"Using cached TTS for: {text[:30]}...")
        audio_file = cache_file
    else:
        # print(f"Requesting TTS for: {text[:30]}...")
        try:
            # URL encode the input text to handle special characters
            input_text_encoded = requests.utils.quote(text)
            url = f"{base_url}?token={token}&input={input_text_encoded}"

            response = requests.get(url, stream=True, timeout=60) # Added timeout
            response.raise_for_status() # Raise HTTPError for bad responses (4xx or 5xx)

            with open(cache_file, "wb") as f:
                for chunk in response.iter_content(chunk_size=8192):
                    if chunk: # filter out keep-alive new chunks
                        f.write(chunk)
            audio_file = cache_file
            # print("TTS downloaded and cached.")

        except requests.exceptions.RequestException as e:
            print(f"TTS API request failed: {e}")
            # Fallback: create a dummy tracker with zero duration
            tracker = CustomVoiceoverTracker(None, 0)
            yield tracker
            return # Exit context manager
        except Exception as e:
             # Clean up potentially incomplete cache file on error
            if os.path.exists(cache_file):
                os.remove(cache_file)
            print(f"An error occurred during TTS processing: {e}")
            tracker = CustomVoiceoverTracker(None, 0)
            yield tracker
            return # Exit context manager


    # Ensure audio file exists before processing with MoviePy
    if audio_file and os.path.exists(audio_file):
        try:
            # Use context manager for AudioFileClip
            with AudioFileClip(audio_file) as clip:
                 duration = clip.duration
            # print(f"Audio duration: {duration:.2f}s")
            tracker = CustomVoiceoverTracker(audio_file, duration)
        except Exception as e:
            print(f"Error processing audio file {audio_file}: {e}")
            # Fallback if audio file is corrupted or invalid
            # Clean up potentially corrupted cache file
            if os.path.exists(cache_file):
                try:
                    os.remove(cache_file)
                    print(f"Removed potentially corrupted cache file: {cache_file}")
                except OSError as remove_error:
                    print(f"Error removing cache file {cache_file}: {remove_error}")
            tracker = CustomVoiceoverTracker(None, 0)
    else:
        # Fallback if audio file was not created or found
        print(f"TTS audio file not found or not created: {audio_file}")
        tracker = CustomVoiceoverTracker(None, 0)

    try:
        yield tracker
    finally:
        # Decide whether to clean up cache here or keep it
        # For now, we keep the cache unless an error occurred during processing
        pass


# -----------------------------
# CombinedScene: Explains vector components vs. magnitude
# -----------------------------
class CombinedScene(MovingCameraScene):
    """
    Explains why a vector's component cannot be greater than its magnitude.
    """
    def setup(self):
        """Set default font if available."""
        MovingCameraScene.setup(self)
        if final_font:
            Text.set_default(font=final_font)
            print(f"Default font set to: {final_font}")
        else:
            print("Using Manim's default font.")

    def construct(self):
        # Use a scene-specific time tracker if needed for non-TTS animations
        self.scene_time_tracker = ValueTracker(0)

        # --- Play Scenes Sequentially ---
        self.play_scene_01_intro()
        self.clear_and_reset()

        self.play_scene_02_components_magnitude()
        self.clear_and_reset()

        self.play_scene_03_trigonometry()
        self.clear_and_reset()

        self.play_scene_04_analogy_summary()
        self.clear_and_reset()

        # End of animation message
        final_message = Text("Animation finished, thanks for watching! 😊", font_size=48, color=MY_WHITE)
        bg_final = Rectangle(width=config.frame_width, height=config.frame_height, fill_color=MY_BLACK, fill_opacity=1,
                             stroke_width=0).set_z_index(-10)
        self.add(bg_final)
        self.play(FadeIn(final_message))
        self.wait(2)

    def get_scene_number(self, number_str):
        """Creates and positions the scene number."""
        scene_num = Text(number_str, font_size=24, color=MY_WHITE)
        scene_num.to_corner(UR, buff=0.3)
        scene_num.set_z_index(10)
        return scene_num

    def clear_and_reset(self):
        """Clears all objects and resets the camera."""
        # Clear updaters from all mobjects
        mobjects_to_clear = list(self.mobjects) # Create a copy to iterate over
        for mob in mobjects_to_clear:
            if mob is not None and hasattr(mob, 'get_updaters') and mob.get_updaters():
                mob.clear_updaters()

        # Fade out valid mobjects
        valid_mobjects = [m for m in self.mobjects if m is not None]
        if valid_mobjects:
            self.play(FadeOut(Group(*valid_mobjects)), run_time=0.5)

        # Clear the scene's mobject list
        self.clear()

        # Reset camera
        self.camera.frame.move_to(ORIGIN)
        self.camera.frame.set(width=config.frame_width, height=config.frame_height)
        # Reset scene time tracker
        self.scene_time_tracker.set_value(0)
        self.wait(0.1)

    # --- Scene 1: Introduction & Setup ---
    def play_scene_01_intro(self):
        """Scene 1: Title, basic idea, vector setup."""
        self.scene_time_tracker.set_value(0)

        # Background
        bg1 = Rectangle(
            width=config.frame_width, height=config.frame_height,
            fill_color=MY_BLACK, fill_opacity=1.0, stroke_width=0
        ).set_z_index(-10)
        self.add(bg1)

        # Scene Number
        scene_num_01 = self.get_scene_number("01")
        self.add(scene_num_01)

        # Title
        title = Text("Vector Components vs. Magnitude", font_size=48, color=MY_WHITE, weight=BOLD)
        subtitle = Text("Why a component can't be larger than the vector itself", font_size=36, color=MY_LIGHT_GRAY)
        title_group = VGroup(title, subtitle).arrange(DOWN, buff=0.3).to_edge(UP, buff=1.0)

        # Basic Idea Text
        idea_text = Text(
            "Think of a component as the vector's 'shadow' on an axis.\nA shadow can't be longer than the object casting it!",
            font_size=32, color=MY_WHITE, line_spacing=1.2, should_center=True,
            width=config.frame_width - 4 # Allow wrapping
        ).shift(DOWN * 0.5)

        # --- TTS Integration ---
        voice_text_01 = "Hello! Today we'll explore a fundamental concept in vectors: why can a vector's component never be greater than its own magnitude? The basic idea is simple: think of a component as the vector's 'shadow' cast onto an axis. A shadow can't be longer than the object casting it!"
        with custom_voiceover_tts(voice_text_01) as tracker:
            if tracker.audio_path and tracker.duration > 0:
                self.add_sound(tracker.audio_path, time_offset=0)
            else:
                print("Warning: Scene 1 TTS audio failed or has zero duration.")

            subtitle_voice = Text(
                voice_text_01, font_size=30, color=MY_WHITE,
                width=config.frame_width - 2, should_center=True
            ).to_edge(DOWN, buff=0.5)

            # Animations
            self.play(
                AnimationGroup(
                    FadeIn(subtitle_voice, run_time=0.5),
                    FadeIn(title_group, shift=DOWN * 0.5, run_time=1.5),
                    lag_ratio=0.0
                ),
                run_time=1.5
            )
            self.wait(1.0)
            self.play(FadeIn(idea_text, shift=UP * 0.3), run_time=2.0)

            # Calculate wait time
            anim_time = 1.5 + 1.0 + 2.0
            if tracker.duration > 0:
                remaining_time = tracker.duration - anim_time - 1.0 # Subtract fade out time
                if remaining_time > 0:
                    self.wait(remaining_time)
            else:
                self.wait(1.5) # Wait if no audio

            self.play(FadeOut(subtitle_voice), run_time=1.0)

        self.wait(1)

    # --- Scene 2: Components & Magnitude ---
    def play_scene_02_components_magnitude(self):
        """Scene 2: Show vector, components, magnitude, Pythagorean theorem."""
        self.scene_time_tracker.set_value(0)

        # Background
        bg2 = Rectangle(
            width=config.frame_width, height=config.frame_height,
            fill_color=MY_BLACK, fill_opacity=1.0, stroke_width=0
        ).set_z_index(-10)
        self.add(bg2)

        # Scene Number
        scene_num_02 = self.get_scene_number("02")
        self.add(scene_num_02)

        # Axes
        axes = Axes(
            x_range=[-1, 7, 1], y_range=[-1, 5, 1],
            x_length=8, y_length=5,
            axis_config={"color": MY_WHITE, "include_tip": True, "stroke_width": 2},
            x_axis_config={"include_numbers": True},
            y_axis_config={"include_numbers": True},
            tips=False # Tips handled in axis_config
        ).add_coordinates().shift(DOWN * 0.5) # Shift axes down slightly
        axes_labels = axes.get_axis_labels(x_label="x", y_label="y")
        axes_labels.set_color(MY_WHITE)

        # Vector V
        vec_end_coord = np.array([4, 3, 0]) # Example vector endpoint
        vector_V = Vector(vec_end_coord, color=MY_YELLOW, stroke_width=6)
        vector_label_V = MathTex(r"\vec{V}", color=MY_YELLOW, font_size=40)
        vector_label_V.next_to(vector_V.get_center(), UR, buff=0.1) # Position label near middle/end

        # Components (Projections) - Manual Dashed Lines
        origin_point = axes.c2p(0, 0)
        tip_point = axes.c2p(vec_end_coord[0], vec_end_coord[1])
        x_proj_point = axes.c2p(vec_end_coord[0], 0)
        y_proj_point = axes.c2p(0, vec_end_coord[1])

        line_to_x = DashedLine(tip_point, x_proj_point, color=MY_GREEN, stroke_width=3, dash_length=0.15)
        line_to_y = DashedLine(tip_point, y_proj_point, color=MY_GREEN, stroke_width=3, dash_length=0.15)

        # Component Vectors (optional, can use lines on axes)
        vector_Vx = Line(origin_point, x_proj_point, color=MY_GREEN, stroke_width=5)
        vector_Vy = Line(origin_point, y_proj_point, color=MY_GREEN, stroke_width=5)

        # Component Labels
        label_Vx = MathTex("V_x", color=MY_GREEN, font_size=36).next_to(vector_Vx, DOWN, buff=0.2)
        label_Vy = MathTex("V_y", color=MY_GREEN, font_size=36).next_to(vector_Vy, LEFT, buff=0.2)

        # Magnitude Label
        magnitude_label_V = MathTex(r"|\vec{V}|", color=MY_YELLOW, font_size=40)
        # Position magnitude label along the vector
        magnitude_label_V.move_to(vector_V.get_center() + vector_V.get_unit_vector() * 0.3 + vector_V.copy().rotate(PI/2).get_unit_vector() * 0.4)


        # Pythagorean Theorem Formula
        pythagorean_formula = MathTex(
            r"|\vec{V}|^2 = V_x^2 + V_y^2",
            font_size=48, color=MY_WHITE
        ).to_edge(UP, buff=1.0)
        pythagorean_explanation = Text(
            "(Magnitude squared equals sum of squares of components)",
            font_size=28, color=MY_LIGHT_GRAY
        ).next_to(pythagorean_formula, DOWN, buff=0.2)

        # Right Triangle visualization
        right_angle_symbol = Square(side_length=0.2, color=MY_WHITE, stroke_width=2, fill_opacity=0)
        right_angle_symbol.move_to(axes.c2p(0,0)).align_to(axes.c2p(0,0), DL) # Position at origin corner

        # --- TTS Integration ---
        voice_text_02 = "Let's visualize this. Here's a vector V in a 2D plane, starting from the origin. Its components, Vx and Vy, are its projections onto the x and y axes. You can see them forming a right-angled triangle with the vector V as the hypotenuse. The length of the vector, its magnitude |V|, is related to the components by the Pythagorean theorem: the square of the magnitude equals the sum of the squares of the components."
        with custom_voiceover_tts(voice_text_02) as tracker:
            if tracker.audio_path and tracker.duration > 0:
                self.add_sound(tracker.audio_path, time_offset=0)
            else:
                print("Warning: Scene 2 TTS audio failed or has zero duration.")

            subtitle_voice = Text(
                voice_text_02, font_size=30, color=MY_WHITE,
                width=config.frame_width - 2, should_center=True
            ).to_edge(DOWN, buff=0.5)

            # Animations
            self.play(
                AnimationGroup(
                    FadeIn(subtitle_voice, run_time=0.5),
                    Create(axes, run_time=2.0),
                    FadeIn(axes_labels, run_time=1.0),
                    lag_ratio=0.0
                ),
                run_time=2.0
            )
            self.play(
                GrowArrow(vector_V), # Use GrowArrow for vector
                Write(vector_label_V),
                run_time=1.5
            )
            self.wait(0.5)
            # Show components and labels
            self.play(
                Create(line_to_x),
                Create(line_to_y),
                Create(vector_Vx),
                Create(vector_Vy),
                Write(label_Vx),
                Write(label_Vy),
                run_time=2.5
            )
            self.play(Create(right_angle_symbol), run_time=0.5) # Show right angle
            self.wait(0.5)
            # Show magnitude label and formula
            self.play(Write(magnitude_label_V), run_time=1.0)
            self.play(
                Write(pythagorean_formula),
                FadeIn(pythagorean_explanation, shift=UP*0.2),
                run_time=2.5
            )

            # Calculate wait time
            anim_time = 2.0 + 1.5 + 0.5 + 2.5 + 0.5 + 0.5 + 1.0 + 2.5
            if tracker.duration > 0:
                remaining_time = tracker.duration - anim_time - 1.0 # Subtract fade out time
                if remaining_time > 0:
                    self.wait(remaining_time)
            else:
                self.wait(1.5) # Wait if no audio

            self.play(FadeOut(subtitle_voice), run_time=1.0)

        self.wait(1)
        # Store axes and vector for next scene if needed, or recreate
        self.axes = axes
        self.vector_V = vector_V
        self.vec_end_coord = vec_end_coord


    # --- Scene 3: Trigonometric Relationship ---
    def play_scene_03_trigonometry(self):
        """Scene 3: Introduce angle, trig formulas, sin/cos bounds."""
        self.scene_time_tracker.set_value(0)

        # Background
        bg3 = Rectangle(
            width=config.frame_width, height=config.frame_height,
            fill_color=MY_BLACK, fill_opacity=1.0, stroke_width=0
        ).set_z_index(-10)
        self.add(bg3)

        # Scene Number
        scene_num_03 = self.get_scene_number("03")
        self.add(scene_num_03)

        # Recreate or reuse elements from Scene 2
        # Recreating for clarity and independence
        axes = Axes(
            x_range=[-1, 7, 1], y_range=[-1, 5, 1],
            x_length=8, y_length=5,
            axis_config={"color": MY_WHITE, "include_tip": True, "stroke_width": 2},
            x_axis_config={"include_numbers": True},
            y_axis_config={"include_numbers": True},
            tips=False
        ).add_coordinates().shift(DOWN * 0.5)
        axes_labels = axes.get_axis_labels(x_label="x", y_label="y").set_color(MY_WHITE)

        vec_end_coord = np.array([4, 3, 0])
        vector_V = Vector(vec_end_coord, color=MY_YELLOW, stroke_width=6)
        vector_label_V = MathTex(r"\vec{V}", color=MY_YELLOW, font_size=40).next_to(vector_V.get_center(), UR, buff=0.1)

        origin_point = axes.c2p(0, 0)
        tip_point = axes.c2p(vec_end_coord[0], vec_end_coord[1])
        x_proj_point = axes.c2p(vec_end_coord[0], 0)
        y_proj_point = axes.c2p(0, vec_end_coord[1])
        vector_Vx = Line(origin_point, x_proj_point, color=MY_GREEN, stroke_width=5)
        vector_Vy = Line(origin_point, y_proj_point, color=MY_GREEN, stroke_width=5)
        label_Vx = MathTex("V_x", color=MY_GREEN, font_size=36).next_to(vector_Vx, DOWN, buff=0.2)
        label_Vy = MathTex("V_y", color=MY_GREEN, font_size=36).next_to(vector_Vy, LEFT, buff=0.2)
        magnitude_label_V = MathTex(r"|\vec{V}|", color=MY_YELLOW, font_size=40)
        magnitude_label_V.move_to(vector_V.get_center() + vector_V.get_unit_vector() * 0.3 + vector_V.copy().rotate(PI/2).get_unit_vector() * 0.4)

        # Add existing elements immediately
        self.add(bg3, scene_num_03, axes, axes_labels, vector_V, vector_label_V, vector_Vx, vector_Vy, label_Vx, label_Vy, magnitude_label_V)

        # Angle Theta
        angle_theta = Angle(axes.x_axis, vector_V, radius=1.0, other_angle=False, color=MY_PURPLE)
        label_theta = MathTex(r"\theta", color=MY_PURPLE, font_size=36)
        label_theta.move_to(Angle(axes.x_axis, vector_V, radius=1.0 + 0.3).get_center()) # Position label outside arc

        # Trigonometric Formulas
        trig_formula_Vx = MathTex(r"V_x = |\vec{V}| \cos(\theta)", font_size=40, color=MY_WHITE)
        trig_formula_Vy = MathTex(r"V_y = |\vec{V}| \sin(\theta)", font_size=40, color=MY_WHITE)
        trig_formulas = VGroup(trig_formula_Vx, trig_formula_Vy).arrange(DOWN, buff=0.4).to_edge(RIGHT, buff=1.0).shift(UP*1.0)

        # Sine/Cosine Bounds Explanation
        bounds_text = Text("Key Property:", font_size=32, color=MY_WHITE, weight=BOLD)
        bounds_formula = MathTex(r"-1 \le \cos(\theta) \le 1", r"\quad \text{and} \quad", r"-1 \le \sin(\theta) \le 1", font_size=40, color=MY_WHITE)
        bounds_group = VGroup(bounds_text, bounds_formula).arrange(DOWN, buff=0.3).next_to(trig_formulas, DOWN, buff=0.8)

        # Consequence Explanation
        consequence_text = Text(
            "Multiplying |V| by a number between -1 and 1\ncan only shrink it or keep it the same size.",
            font_size=30, color=MY_LIGHT_GRAY, line_spacing=1.2, should_center=True
        ).next_to(bounds_group, DOWN, buff=0.5)

        # Final Inequality
        inequality_Vx = MathTex(r"|V_x| \le |\vec{V}|", font_size=40, color=MY_WHITE)
        inequality_Vy = MathTex(r"|V_y| \le |\vec{V}|", font_size=40, color=MY_WHITE)
        inequality_group = VGroup(inequality_Vx, inequality_Vy).arrange(DOWN, buff=0.4).next_to(consequence_text, DOWN, buff=0.6)

        # --- TTS Integration ---
        voice_text_03 = "Now, let's bring in trigonometry. If theta is the angle between the vector V and the positive x-axis, then the components can be expressed as: Vx equals magnitude V times cosine theta, and Vy equals magnitude V times sine theta. The crucial point here is that the values of sine and cosine are always between -1 and 1. Because of this, when you multiply the magnitude |V| by cosine theta or sine theta, the result's absolute value cannot be larger than |V| itself. Therefore, the absolute value of Vx must be less than or equal to the magnitude of V, and the same applies to Vy."
        with custom_voiceover_tts(voice_text_03) as tracker:
            if tracker.audio_path and tracker.duration > 0:
                self.add_sound(tracker.audio_path, time_offset=0)
            else:
                print("Warning: Scene 3 TTS audio failed or has zero duration.")

            subtitle_voice = Text(
                voice_text_03, font_size=30, color=MY_WHITE,
                width=config.frame_width - 2, should_center=True
            ).to_edge(DOWN, buff=0.5)

            # Animations
            self.play(FadeIn(subtitle_voice, run_time=0.5))
            self.play(
                Create(angle_theta),
                Write(label_theta),
                run_time=1.5
            )
            self.wait(0.5)
            self.play(Write(trig_formulas), run_time=2.5)
            self.wait(1.0)

            # Highlight sin/cos bounds
            highlight_bounds = SurroundingRectangle(bounds_formula, color=MY_PURPLE, buff=0.1)
            self.play(
                FadeIn(bounds_group, shift=UP*0.2),
                run_time=2.0
            )
            # Use Succession for create-then-fade effect
            self.play(
                Succession(
                    Create(highlight_bounds, run_time=1.0),
                    FadeOut(highlight_bounds, run_time=1.0)
                )
            )
            self.wait(0.5)

            self.play(FadeIn(consequence_text), run_time=2.0)
            self.wait(0.5)
            self.play(Write(inequality_group), run_time=2.0)

            # Calculate wait time
            anim_time = 0.5 + 1.5 + 0.5 + 2.5 + 1.0 + 2.0 + 1.0 + 1.0 + 0.5 + 2.0 + 0.5 + 2.0 # Approx animation time
            if tracker.duration > 0:
                remaining_time = tracker.duration - anim_time - 1.0 # Subtract fade out time
                if remaining_time > 0:
                    self.wait(remaining_time)
            else:
                self.wait(1.5) # Wait if no audio

            self.play(FadeOut(subtitle_voice), run_time=1.0)

        self.wait(1)

    # --- Scene 4: Analogy & Summary ---
    def play_scene_04_analogy_summary(self):
        """Scene 4: Ladder analogy and final summary."""
        self.scene_time_tracker.set_value(0)

        # Background
        bg4 = Rectangle(
            width=config.frame_width, height=config.frame_height,
            fill_color=MY_DARK_BLUE, fill_opacity=1.0, stroke_width=0 # Dark blue background
        ).set_z_index(-10)
        self.add(bg4)

        # Scene Number
        scene_num_04 = self.get_scene_number("04")
        self.add(scene_num_04)

        # Analogy Title
        analogy_title = Text("Analogy: The Ladder 🪜", font_size=40, color=MY_WHITE, weight=BOLD)
        analogy_title.to_edge(UP, buff=1.0).shift(LEFT * 3)

        # Analogy Text
        analogy_text = Text(
            "Imagine a ladder (the vector) leaning against a wall.\n"
            "• The height on the wall is one component.\n"
            "• The distance from the wall is the other component.\n"
            "• The ladder itself (magnitude) is always the longest part (hypotenuse).",
            font_size=32, color=MY_LIGHT_GRAY, line_spacing=1.3,
            width=config.frame_width / 2 - 1 # Fit on left side
        ).next_to(analogy_title, DOWN, buff=0.5, aligned_edge=LEFT)

        # Simple Ladder Diagram (Optional, using lines)
        wall = Line(LEFT * 1 + UP * 3, LEFT * 1 + DOWN * 1, color=MY_MEDIUM_GRAY, stroke_width=4)
        ground = Line(LEFT * 1 + DOWN * 1, RIGHT * 3 + DOWN * 1, color=MY_MEDIUM_GRAY, stroke_width=4)
        ladder = Line(LEFT * 1 + UP * 2.5, RIGHT * 2 + DOWN * 1, color=MY_ORANGE, stroke_width=6)
        height_comp = DashedLine(LEFT * 1 + UP * 2.5, LEFT * 1 + DOWN * 1, color=MY_GREEN, dash_length=0.1)
        base_comp = DashedLine(RIGHT * 2 + DOWN * 1, LEFT * 1 + DOWN * 1, color=MY_GREEN, dash_length=0.1)
        ladder_diagram = VGroup(wall, ground, ladder, height_comp, base_comp)
        ladder_diagram.scale(0.8).to_edge(RIGHT, buff=1.5).shift(UP*0.5)

        # Summary Title
        summary_title = Text("In Summary:", font_size=40, color=MY_WHITE, weight=BOLD)
        summary_title.move_to(DOWN * 1.5).shift(LEFT * 3)

        # Summary Points
        summary_point1 = Text("• Components are projections (shadows).", font_size=32, color=MY_WHITE)
        summary_point2 = Text("• Magnitude is the vector's full length.", font_size=32, color=MY_WHITE)
        summary_point3 = Text("• Geometry & Trigonometry (sin/cos ≤ 1) limit component size.", font_size=32, color=MY_WHITE)
        summary_group = VGroup(summary_point1, summary_point2, summary_point3).arrange(DOWN, buff=0.3, aligned_edge=LEFT)
        summary_group.next_to(summary_title, DOWN, buff=0.4, aligned_edge=LEFT)

        # --- TTS Integration ---
        voice_text_04 = "Think of this analogy: a ladder leaning against a wall. The ladder is the vector. The height it reaches on the wall and its distance from the base of the wall are its components. The ladder itself, the hypotenuse, is always longer than either of those sides. So, in summary: vector components are like projections or shadows. The magnitude is the vector's total length. Basic geometry and the fact that sine and cosine never exceed 1 ensure that a component's absolute value cannot be greater than the vector's magnitude."
        with custom_voiceover_tts(voice_text_04) as tracker:
            if tracker.audio_path and tracker.duration > 0:
                self.add_sound(tracker.audio_path, time_offset=0)
            else:
                print("Warning: Scene 4 TTS audio failed or has zero duration.")

            subtitle_voice = Text(
                voice_text_04, font_size=30, color=MY_WHITE,
                width=config.frame_width - 2, should_center=True
            ).to_edge(DOWN, buff=0.5)

            # Animations
            self.play(
                AnimationGroup(
                    FadeIn(subtitle_voice, run_time=0.5),
                    FadeIn(analogy_title, shift=RIGHT*0.2, run_time=1.5),
                    FadeIn(analogy_text, lag_ratio=0.1, run_time=2.0),
                    Create(ladder_diagram, lag_ratio=0.2, run_time=2.5),
                    lag_ratio=0.0
                ),
                run_time=3.0 # Duration of the longest animation in the group
            )
            self.wait(1.0)
            self.play(
                FadeIn(summary_title, shift=UP*0.2),
                FadeIn(summary_group, lag_ratio=0.2),
                run_time=2.5
            )

            # Calculate wait time
            anim_time = 3.0 + 1.0 + 2.5
            if tracker.duration > 0:
                remaining_time = tracker.duration - anim_time - 1.0 # Subtract fade out time
                if remaining_time > 0:
                    self.wait(remaining_time)
            else:
                self.wait(2.0) # Wait if no audio

            self.play(FadeOut(subtitle_voice), run_time=1.0)

        self.wait(2) # Hold summary screen


# --- Main execution block ---
if __name__ == "__main__":
    # Basic configuration
    config.pixel_height = 1080  # Set resolution height
    config.pixel_width = 1920  # Set resolution width
    config.frame_rate = 30  # Set frame rate
    config.output_file = "CombinedScene"  # Specify output filename
    config.disable_caching = True  # Disable caching

    # Set output directory using placeholder for Java replacement
    config.media_dir = r"#(output_path)"  # IMPORTANT: Use the placeholder

    # Create and render the scene
    scene = CombinedScene()
    scene.render()

    print(f"Scene rendering finished. Output in: {config.media_dir}")

Video

https://manim.collegebot.ai/cache/499178015963123712/videos/1080p30/CombinedScene.mp4

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Contributors: litongjava