From c65decc013e09ce6d38ba314768b338fd3b1a3d1 Mon Sep 17 00:00:00 2001 From: CyC2018 Date: Wed, 28 Oct 2026 13:35:22 +0800 Subject: [PATCH] =?UTF-8?q?Update=20=E7=B3=BB=E7=BB=9F=E8=AE=BE=E8=AE=A1?= =?UTF-8?q?=E5=9F=BA=E7=A1=80.md?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 补充高并发系统的设计、大文件上传和权限系统三节,增加配图和实测附录,附录重新编号。 --- notes/pics/highconc-load-curve.png | Bin 0 -> 133844 bytes notes/pics/highconc-read-layers.png | Bin 0 -> 166179 bytes notes/pics/rbac-tables.png | Bin 0 -> 170395 bytes notes/pics/upload-multipart.png | Bin 0 -> 213341 bytes notes/pics/upload-parts-resume.png | Bin 0 -> 89267 bytes notes/系统设计基础.md | 854 +++++++++++++++++++++++++++- 6 files changed, 847 insertions(+), 7 deletions(-) create mode 100644 notes/pics/highconc-load-curve.png create mode 100644 notes/pics/highconc-read-layers.png create mode 100644 notes/pics/rbac-tables.png create mode 100644 notes/pics/upload-multipart.png create mode 100644 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zH2x8p}c*~^FMJia%z9M^9V^#9M_b_-;^k|aTfFL-r#LAvGPu4|YY zp>HKvU=C@K{7&M72VA0VDs%DlFq*X0#+@56{-1Bt5%H1yObg3(s?FRUJqUaa2v!|& zjb+5g4Z1ed=SLMyk4!A}Dv>_Elazmdec$xf2VNfLlXLX`NX+XNMc5T)W&ZsZs@sAb zqfS^5u2jTe?)ZZIEXTmMrlb6^5u3Ov`nvha!%kq>J*!=myxSL@ON+h%4%K^CL+NV2nK+QVBF zUyl7kmY5x_;4pQ=hjjC#m56Sya^{Ra2Woe_TnD3MF&L9J<{NxRV=uv6TvaPslN zgqvhb={$SMTen3eIRz5Gk*q_d5jU@8=w&uzgngflW#oafwP40ZIL@+5@ZS#wDUMK# r>-{h~C%L=hUbiYr&26?=@vQT%GcYigQP7Bx;m<#Zj%wv;+Ft%2uU7YG literal 0 HcmV?d00001 diff --git a/notes/系统设计基础.md b/notes/系统设计基础.md index df3c73bc..ffa828dc 100644 --- a/notes/系统设计基础.md +++ b/notes/系统设计基础.md @@ -10,6 +10,9 @@ * [七、海量数据处理](#七海量数据处理) * [八、短链系统](#八短链系统) * [九、Feed 流](#九feed-流) + * [十、高并发系统的设计](#十高并发系统的设计) + * [十一、大文件上传](#十一大文件上传) + * [十二、权限系统](#十二权限系统) * [附录:实测](#附录实测) * [参考资料](#参考资料) @@ -35,7 +38,7 @@ 指系统能同时处理的并发用户请求数量。 -三者的关系为:并发数 = 吞吐量 × 响应时间。在没有并发存在的系统中,请求被顺序执行,此时响应时间为吞吐量的倒数。例如系统支持的吞吐量为 100 req/s,那么平均响应时间应该为 0.01 s。 +三者的关系为:并发数 = 吞吐量 × 响应时间,三者都取平均值,在系统处于稳定状态时成立,称为利特尔法则(Little's Law)。在没有并发存在的系统中,请求被顺序执行,此时响应时间为吞吐量的倒数。例如系统支持的吞吐量为 100 req/s,那么平均响应时间应该为 0.01 s。 目前的大型系统都支持多线程来处理并发请求,多线程能够提高吞吐量,主要有两个原因: @@ -158,7 +161,7 @@ redis.call('SADD', KEYS[2], ARGV[1]) return 0 -- 抢购成功 ``` -Redis 执行 Lua 脚本时不会穿插执行其它命令,判断是否已购、判断库存、扣减库存和记录用户这四步作为一个整体完成。如果在应用中先 GET 库存、判断大于 0 之后再 DECR,两个请求可能同时读到库存为 1,并且都扣减成功。例如库存为 100、1000 个用户各请求 2 次、64 个线程并发:Lua 脚本恰好卖出 100 件;先查询后扣减的写法运行 3 次,分别卖出了 113、106、114 件,库存变成了负数(Redis 7.4 实测,见[附录:实测](#附录实测))。 +Redis 执行 Lua 脚本时不会穿插执行其它命令,判断是否已购、判断库存、扣减库存和记录用户这四步作为一个整体完成。如果在应用中先 GET 库存、判断大于 0 之后再 DECR,两个请求可能同时读到库存为 1,并且都扣减成功。例如库存为 100、1000 个用户各请求 2 次、64 个线程并发:Lua 脚本恰好卖出 100 件;先查询后扣减的写法运行 3 次,分别卖出了 113、106、114 件,库存变成了负数(Redis 7.4 实测,见[附录 A1](#a1-秒杀))。 数据库也要兜底。扣减库存时把库存大于 0 作为条件,影响的行数为 0 说明库存不足: @@ -229,7 +232,7 @@ Base62 指的是用 0~9、a~z、A~Z 共 62 个字符表示一个数。例 ### 跳转用 301 还是 302 -301 表示永久跳转,响应默认可以被缓存,浏览器之后会直接跳到长链接;302 表示临时跳转,每次访问都会请求短链服务。例如用浏览器访问同一个短链两次,返回 301 时,第二次直接跳到了长链接,服务端只收到一次请求;返回 302 时,两次都请求了服务端(Edge 156 实测,见[附录:实测](#附录实测))。 +301 表示永久跳转,响应默认可以被缓存,浏览器之后会直接跳到长链接;302 表示临时跳转,每次访问都会请求短链服务。例如用浏览器访问同一个短链两次,返回 301 时,第二次直接跳到了长链接,服务端只收到一次请求;返回 302 时,两次都请求了服务端(Edge 156 实测,见[附录 A2](#a2-短链跳转))。 需要统计点击量、允许修改目标地址或者设置有效期时用 302;只想减轻服务端的压力时可以用 301。 @@ -260,7 +263,7 @@ Feed 流指的是把关注的人发布的内容按时间倒序合并后展示, - 拉模式(读扩散):打开首页时,读取所有关注者的发件箱,合并后取最新的一页。发帖只写一次,但关注的人越多读得越慢; - 推模式(写扩散):发帖时把帖子写入每个粉丝的收件箱,打开首页只需读自己的收件箱。读很快,但粉丝越多写得越多,而且每个粉丝都存一份帖子 ID。 -用有序集合实现时(分值为发布时间),一个帖子推给 10 万个粉丝,用流水线写入 10 万个收件箱共约 480 ms,已有的收件箱每多一条约占 16 字节;读自己的收件箱一页只需 0.11 ms;拉模式从 500 个发件箱各取最新 20 条再合并,一次要 22.8 ms(Redis 7.4 实测,见[附录:实测](#附录实测))。按这个速度,一个有 1000 万粉丝的大 V 发一条帖子,单个节点要写入约 50 秒;粉丝的收件箱都已存在时多占用约 150 MB 内存,需要新建收件箱时约 1 GB。 +用有序集合实现时(分值为发布时间),一个帖子推给 10 万个粉丝,用流水线写入 10 万个收件箱共约 480 ms,已有的收件箱每多一条约占 16 字节;读自己的收件箱一页只需 0.11 ms;拉模式从 500 个发件箱各取最新 20 条再合并,一次要 22.8 ms(Redis 7.4 实测,见[附录 A3](#a3-feed-流))。按这个速度,一个有 1000 万粉丝的大 V 发一条帖子,单个节点要写入约 50 秒;粉丝的收件箱都已存在时多占用约 150 MB 内存,需要新建收件箱时约 1 GB。 所以实际的系统大多推拉结合: @@ -282,11 +285,406 @@ p20 p19 p18 ... p11 左括号表示不包含 21 本身,这是 Redis 6.2 起的写法,相当于旧的 ZREVRANGEBYSCORE。分值相同的帖子可能被跳过,可以把分值设为帖子 ID 这类唯一且递增的值,例如雪花算法生成的 ID 本身就按时间递增,见 [分布式 ID](分布式.md#八分布式-id)。 +## 十、高并发系统的设计 + +高并发指的是系统在某段时间内要同时处理大量请求。设计时通常先估算峰值 QPS,再让绝大部分请求在到达数据库之前被挡住,最后用异步、限流和降级保证剩下的请求不会压垮系统。 + +本节以某电商的商品详情页为例。这个页面既要读(展示商品、价格和库存),也要写(下单扣减库存)。缓存、秒杀、限流算法和分库分表的细节已在前面各节讲过,这里只说明它们在整条链路中的位置。 + +### 容量估算 + +估算的第一步是把日流量换算成峰值 QPS。假设日 PV 为 6 亿,平均每秒约 6944 次;晚高峰一小时的 PV 占全天的 6%,峰值约为 6 亿 × 6% ÷ 3600 ≈ 1 万 QPS。大促期间流量是平时的 10 倍,设计目标为 10 万 QPS。 + +容量要按峰值计算,不能按平均值。平时的峰值约是平均值的 1.4 倍,大促峰值则约是平均值的 14 倍。 + +10 万 QPS 直接落到数据库上风险很大。本机回环实测的 MySQL 主键点查在 16 至 128 个连接时达到 17 万至 19 万 QPS(见[附录 A4](#a4-mysql-主键点查的并发扫描)),但这是客户端与服务端同机、没有网络开销的结果;生产环境经过网络和其它负载后的上限会低很多。因此需要在数据库之前挡住绝大部分请求。 + +### 读路径的逐层分流 + +读请求从用户到数据库要经过多层:内容分发网络(Content Delivery Network, CDN)的边缘节点、应用进程内的本地缓存、Redis 和数据库。每一层都可以挡住一部分请求。进入某层的 QPS 乘以(1 − 命中率),就是该层回源的 QPS。例如 10 万 QPS 进入 CDN,命中率为 60% 时,回源 4 万 QPS。 + +#### 1. CDN + +CDN 边缘节点缓存商品基础信息的 JSON,存活时间(Time To Live, TTL)设为 10 秒。价格和库存允许有 10 秒的展示延迟,下单时仍以服务端的数据为准。 + +#### 2. 应用进程缓存 + +每台应用实例在进程内保存热门商品,TTL 为 5 秒。它不需要网络往返,但每台实例各存一份。TTL 到期时,同一商品可能在多台实例上同时回源,这就是[缓存击穿](缓存.md#缓存击穿)。 + +#### 3. Redis + +商品详情、价格和库存分别存放在 Redis 的键中,用一次 MGET 取回。Redis 的请求量为 2 万 QPS,约为本机 GET 实测中位数(12.5 万 QPS,见[附录 A7](#a7-redis-get-的并发扫描))的 1/6。假设 98% 的请求命中,回源到数据库的请求为 400 QPS。 + +#### 4. 数据库 + +回源的 400 QPS 都是主键点查,单个 MySQL 实例完全可以承担。 + +


+ +命中率的影响比想象中大。Redis 命中率从 98% 降到 90%,回源 QPS 从 400 增至 2000。 + +百万 QPS 时,若命中率保持不变,进入 Redis 的请求增至 20 万 QPS。按每个分片约 4 万 QPS 的规划值(假设为本机实测的约 1/3)计算,需要 5 个分片;回源到数据库的请求只增至 4000 QPS。因此高并发读的扩展主要落在缓存层和应用层的水平扩展上,而不是升级单台数据库。 + +### 写路径:库存与下单 + +下单的写请求不能依赖缓存,库存必须准确。假设下单量为峰值 PV 的 2%,即 2000 QPS,其中 40% 集中在一个爆款 SKU 上,相当于 800 QPS 落在同一行库存记录上。 + +#### 1. 热点行 + +InnoDB 使用行级锁,并采用两阶段锁(Two-Phase Locking, 2PL),事务持有的行锁一般要到提交或回滚时才释放([InnoDB Transaction Model](https://dev.mysql.com/doc/refman/8.0/en/innodb-transaction-model.html))。因此同一行的更新只能串行执行,单行的吞吐量约为 1 ÷ 锁持有时间。 + +本机实测验证了这一点:对同一行执行自动提交的 UPDATE,吞吐量在 1 到 64 个并发之间稳定在 0.8 万至 1 万 TPS,不随并发增加;分散到 100 行后,64 个并发达到 3.4 万 TPS(见[附录 A5](#a5-热点行与分散行的-update))。 + +本机回环上单条查询的往返约为 0.03 ms(见[附录 A6](#a6-本机单条查询的往返延迟)),生产环境的事务内则有多次网络往返。假设同机房往返为 0.5 ms,事务内有 3 次往返(查询并加锁、更新库存、插入订单),锁持有约 1.6 ms,单行上限约为 625 TPS,低于 800 QPS。解决办法是拆分库存:把 1 万件分成 10 行,每行 1000 件,每行约 80 QPS,远低于上限。 + +拆分后,某一行售罄而其它行仍有库存时,要换一行重试,并定期把库存在各行之间调拨: + +```sql +UPDATE t_stock_slot SET stock = stock - 1 +WHERE sku_id = 1 AND slot = 3 AND stock > 0; +-- 影响行数为 0 时,换一个 slot 重试;所有 slot 都为 0 时视为售罄 +``` + +#### 2. 削峰 + +下单请求先写入消息队列,订单服务按自己的处理能力消费(见[流量削峰](消息队列.md#流量削峰))。假设峰值 2000 QPS 持续 10 分钟,订单事务的处理能力为 1000 TPS,队列积压为 (2000 − 1000) × 600 = 60 万条。峰后到达量降到 500 QPS 时,排空积压需要 60 万 ÷ (1000 − 500) = 1200 秒,即 20 分钟。消息的保留时间要长于这段时间,前端要显示“排队中”,由用户轮询订单结果。 + +#### 3. 分库分表的时机 + +日下单量约为 1200 万(6 亿 × 2%),平均每秒约 139 单,2000 QPS 只是大促的瞬时值。订单表一年约 44 亿行,分库分表主要由数据量决定,而不是由峰值 QPS 决定。订单表一般按用户 ID 切分,使同一用户的订单落在同一个库中,见[MySQL 切分](MySQL.md#五切分)。 + +### 保护:限流、降级与熔断 + +限流、降级与熔断的算法和状态机见[限流、降级与熔断](#限流降级与熔断),这里说明它们在大促链路中的位置: + +- 网关限流:按 IP 和用户限制请求频率,例如每个用户每秒只允许 1 次下单,超出的请求直接返回“请稍后再试”; +- 降级:大促时关闭评价摘要、推荐等非核心模块,库存数字改为“有货”“库存紧张”,减少对库存服务的查询; +- 熔断:库存服务的超时比例超过阈值时,详情页直接返回缓存中的库存状态,不再等待超时。 + +Google SRE 对过载的建议是先返回降级的响应,即数据更少、计算更简单的结果,只有在极端过载时才返回错误([Handling Overload](https://sre.google/sre-book/handling-overload/))。 + +### 一致性与可用性 + +#### 1. 一致性 + +只有不能超卖的数据要求强一致。库存用数据库的条件更新实现,只有库存大于 0 时才扣减,影响行数为 0 时视为售罄。详情页的价格和库存允许秒级延迟,用缓存的 TTL 换取性能,缓存与数据库的更新顺序见[缓存一致性](缓存.md#缓存一致性)。消息的重复消费通过[幂等](分布式.md#九幂等)处理。 + +#### 2. 可用性 + +应用实例是无状态的,分布在三个可用区,见[冗余](#冗余)。Redis 采用一主两从,MySQL 采用主从复制加故障转移(见[Redis 复制](Redis.md#十一复制)、[MySQL 复制](MySQL.md#六复制))。容量规划也要考虑故障:一个可用区故障时,其余实例要能承受全部流量,这一点在后面的实例数估算中计算。 + +### 压测与容量规划 + +压测的目标是找到拐点,即吞吐量不再随并发增加、延迟开始陡升的位置。做法是逐步增加并发,记录吞吐量、P99、错误率和 CPU,观察它们的变化。 + +以 Redis GET 为例(见下图):连接数从 1 增加到 50 时,吞吐量从 1.3 万 QPS 升至 12.5 万 QPS;继续增加到 200 时吞吐量持平,P99 却从 0.56 ms 增至 1.98 ms;到 1000 个连接时 P99 达到 16.0 ms。拐点约在 50 个连接(见[附录 A7](#a7-redis-get-的并发扫描))。 + +

+ + +拐点的位置随环境波动。同一台机器上的三轮测试,数值并不完全一致:第一轮 16 个连接时已达到 9.5 万 QPS,200 个连接时的 P99 为 7.19 ms,而第二、三轮约为 2 ms。因此压测要重复多次并取中位数,只在相同规格的环境中比较结果。Redis 文档也指出,逐条同步发送命令测的是网络和客户端的延迟,要测服务端本身需要多个连接([Redis Benchmark](https://redis.io/docs/latest/operate/oss_and_stack/management/optimization/benchmarks/))。 + +数据库也有类似的拐点。MySQL 主键点查在 16 个连接时为 16.9 万 QPS,128 个连接时为 19.2 万 QPS,吞吐量只增加 14%,平均响应时间却从 0.095 ms 增至 0.668 ms(见[附录 A4](#a4-mysql-主键点查的并发扫描))。本机压测的客户端与服务端共用 10 个核心,吞吐量很快接近这台机器的上限,之后的并发只增加排队时间。热点行的更新则从一开始就没有并发收益。 + +并发数 = 吞吐量 × 响应时间,这一关系即 Little 定律(Little's law),见[性能指标](#性能指标)。它可以用来估算同时在处理的请求数。例如 10 万 QPS、平均响应时间 5 ms(假设)时,系统中约有 500 个请求同时在处理。单台实例按 1200 QPS 计算时,同时处理约 6 个请求,线程池和连接池要在此基础上留出余量。 + +实例数的估算方法是:所需实例数 = 峰值 QPS ÷(单实例拐点 QPS × 目标利用率),再按可用区向上取整。例如应用层的回源为 4 万 QPS,单实例拐点按 2000 QPS 计算(假设,需用服务自己的压测结果替换),目标利用率为 60%:4 万 ÷ 1200 ≈ 33.3,取 34 台,三个可用区各 12 台,共 36 台。一个可用区故障时剩余 24 台,每台约 1667 QPS,仍低于拐点。 + +Google SRE 的经验是用 CPU 等资源而不是 QPS 作为容量的度量,因为同样的 QPS 在不同接口上的开销可能相差很大([Handling Overload](https://sre.google/sre-book/handling-overload/))。因此上面的 QPS 估算只是起点,最终要用 CPU 使用率校准。 + +### QPS 突增 10 倍时先做什么 + +假设线上 QPS 从 1 万突增到 10 万,处理顺序如下: + +1. 确认流量的性质:查看来源 IP、User-Agent 和接口分布,区分真实增长、爬虫和客户端重试风暴; +2. 先保护再扩容:立即在网关限流,关闭非核心功能,熔断慢的依赖。过载后健康的实例会减少,降低负载不一定能让服务恢复,因此保护要先于扩容生效([Addressing Cascading Failures](https://sre.google/sre-book/addressing-cascading-failures/)); +3. 找出瓶颈层:按读路径逐层查看 QPS、CPU、连接池、慢 SQL 和 Redis 延迟,判断哪一层先到达拐点; +4. 扩容:无状态的应用实例可以较快地加入集群。Redis 增加分片、数据库分库需要迁移数据,耗时较长,因此大促前要按 10 倍峰值提前扩容并压测; +5. 复盘:把新的拐点和瓶颈层记入容量模型,作为下一次估算的依据。 + +### 大模型服务的高并发 + +大模型推理的并发单位不是请求,而是 token。每个请求的输出长度不固定,服务能同时处理的请求数取决于显存中能放下多少键值缓存(KV Cache,见[自回归生成与 KV Cache](大模型应用.md#自回归生成与-kv-cache))。 + +以 Qwen2.5-7B-Instruct 为例:28 层,4 个 KV 头,每个头的维度为 128,使用 bfloat16(2 字节)。每个 token 的 KV Cache 为 2 × 28 × 4 × 128 × 2 = 57344 字节,即 56 KiB。模型权重约 15.2 GB(由配置推算为 7.6 B 参数,见[附录 A8](#a8-由配置推算-qwen25-7b-的参数与-kv-cache))。在 24 GB 的显卡上,若保留 2 GB 给框架与激活(假设),KV Cache 空间约 6.8 GB,可缓存约 11.8 万个 token。平均每个请求 2000 token 时,同时并发的请求约 59 个。 + +若使用 28 个 KV 头的多头注意力(Multi-Head Attention, MHA),每个 token 的 KV Cache 为 392 KiB,同样的显存只能容纳 1/7 的 token。分组查询注意力(Grouped-Query Attention, GQA)让多个查询头共享一组 KV,正是为了减少这部分开销。 + +因此大模型服务的限流通常按 token 计算,而不是按请求数。vLLM 用分页的方式管理 KV Cache,减少显存的浪费,从而提高可同时处理的请求数([PagedAttention 论文](https://arxiv.org/abs/2309.06180))。 + +## 十一、大文件上传 + +大文件上传指的是文件大到一次 HTTP 请求无法可靠完成的上传,例如几个 GB 的视频。直接上传时有三个问题:请求时间长,中途断开就要从头开始;网关对请求体有大小限制,例如 Nginx 默认的 client_max_body_size 为 1 MB,超过时返回 413;失败后无法只补传没有完成的部分。 + +分片上传(Multipart Upload)把文件切成若干分片,每片作为一次独立的请求上传,服务端在所有分片到齐后按序拼接成完整的文件。断点续传建立在分片上传之上,秒传则依赖文件的内容哈希。 + +### 分片上传的流程 + +以一个 300 MiB 的视频文件 lecture.mp4 为例,按 5 MiB 切分,314572800 ÷ 5242880 = 60,共 60 片,每片都是 5 MiB。直接上传时,在 10 Mbps 的上行带宽下需要约 4.2 分钟,期间连接不能断开。 + +分片之间互不影响,可以乱序上传,也可以并行上传以提高吞吐量。整个流程分为四步: + +1. 初始化:客户端提交文件名、文件大小、整文件的安全哈希算法 256(Secure Hash Algorithm 256, SHA-256),以及 60 个分片各自的 SHA-256(清单);服务端写入上传记录和 60 条分片记录,返回上传 ID(upload_id); +2. 上传分片:客户端对每一片发送一个 PUT 请求,服务端校验分片的长度和 SHA-256 与清单一致后保存,并记录分片的实体标签(Entity Tag, ETag),这里取分片内容的消息摘要算法 5(Message-Digest Algorithm 5, MD5)值,与简单存储服务(Simple Storage Service, S3)的做法一致。客户端根据每次 PUT 的响应判断哪一片失败,单片失败时只重试这一片; +3. 完成:客户端提交完成请求,服务端检查 60 片齐全,按分片号升序拼接,计算整文件的 SHA-256,与初始化时的值相同才生成最终文件; +4. 清理:完成后删除分片;未完成的上传要定期取消,并删除已上传的分片。 + +两层哈希的作用不同:分片哈希用于校验每一片是否与清单一致,整文件哈希用于秒传查重,以及完成时的最终校验。 + +

+ +实测中,这一流程由标准库实现的最小服务完成,元数据保存在 MySQL 8.0 中,各步的请求和响应见[附录 A9](#a9-分片上传的最小实现与实测)。 + +### 断点续传 + +断点续传指的是中断后从已经完成的分片继续,而不是从头开始。前提是服务端保存每个分片的完成状态,并提供查询接口。 + +假设第 37 片传到一半时连接断开。服务端只为 1~36 号分片记录了 ETag,第 37 片的记录仍为空。客户端调用查询接口得到已完成的 36 个分片号,只需补传 37~60 共 24 片,即 120 MiB,而不是重新传 300 MiB。 + +

+ +中断的分片不会留下残缺的数据。服务端把请求体写入临时文件,实际收到的字节数少于 HTTP 首部 Content-Length 时删除临时文件并返回 400,状态中不会记录这一片。 + +分片状态可以用记录表保存,也可以用位图(bitmap)保存,每片只占 1 位,60 片只需 8 字节。无论哪种方式,分片状态都必须持久化。上面的查询结果来自 MySQL 中的分片表,服务重启后仍然存在。如果状态只保存在进程内存中,例如 Java 的 ConcurrentHashMap,服务重启后断点信息全部丢失,多台服务实例之间也无法共享,续传就失效了。 + +上传进度可以按已完成的分片数计算,例如 36 / 60 即 60%。 + +### 秒传 + +秒传指的是服务端已经有内容相同的文件时,客户端不需要上传任何分片,直接建立引用。判断依据是文件的内容哈希:客户端在初始化前计算整文件的 SHA-256,服务端在文件表中查到相同的哈希,就直接返回文件已存在。 + +秒传的代价在于先要读完整个文件来计算哈希。在本机上,同时计算整文件和全部分片的 SHA-256,300 MiB 耗时约 0.31 秒,2 GiB 约 2 秒(Python hashlib 实测,见[附录 A9](#a9-分片上传的最小实现与实测))。浏览器中的 Web Crypto API 不支持流式输入,digest 要求把完整数据读入内存,因此大文件的哈希通常要用增量算法计算。 + +需要注意的是,只按哈希判断文件是否存在时,任何知道哈希的用户都可以“秒传”别人的文件,并借此探测某个文件是否存在。秒传应当只在当前用户自己的文件空间内建立引用,存储中的文件仍然只保存一份。实测中,同一内容换了文件名再次上传,初始化直接返回已存在,没有发送任何分片。 + +### 分片大小 + +分片太小,请求数和清单都会变多,每一片的固定开销占比升高;分片太大,单片失败时的重传量变大,服务端每次需要缓冲的数据也更多。本例选择 5 MiB,它是 S3 允许的最小分片大小。 + +以 10 Mbps 的上行带宽计算,5 MiB 的分片传一片约 4.2 秒,中断后最多损失这一片的时间;100 MiB 的分片传一片要 84 秒。 + +分片数量也有上限。S3 每个上传最多 10000 片,因此要上传 2 TiB 的对象,每片至少约 209.7 MiB;如果仍用 5 MiB 切分,需要 419431 片,远超上限(推算见[附录 A10](#a10-推算数字))。分片大小要先满足上限,再考虑单片失败的代价。 + +### 重复分片与幂等 + +同一分片号再次上传会覆盖之前的分片,这是 S3 的规则。因此客户端在超时或不确定时直接重传即可,不需要判断服务端是否已经收到。 + +本实现还要求分片内容与初始化时提交的清单一致,覆盖规则之外多了这一层检查: + +- 内容相同:覆盖,返回 overwritten 为 true,分片数仍为 60; +- 内容不同:分片的 SHA-256 与清单不符,返回 409,原分片保持不变。 + +其它步骤也是幂等的。同一文件(哈希和大小相同)在未完成时再次初始化,返回原来的上传 ID,客户端重启后可以接着传,不会产生多份未完成的上传。完成请求重复提交时,返回同一个文件 ID。幂等的一般原理见[分布式 九、幂等](分布式.md#九幂等)。 + +### 完整性校验 + +完整性校验分为四层,任何一层失败都只需要重传相关的分片: + +1. 传输层:服务端按 Content-Length 判断请求体是否收全,收不全时丢弃,不记录状态; +2. 分片层:每片的 SHA-256 必须与清单一致; +3. 存储层:完成前逐片核对已保存的分片。实测中把第 7 片的一个字节改掉后,完成请求返回 409 并列出第 7 片,只把它标记为待补传,补传后再次完成即成功; +4. 文件层:按序拼接后计算整文件的 SHA-256,与初始化时的值比较。 + +对象存储的校验规则有所不同。S3 多分片对象的 ETag 不是整个对象的 MD5,而是把各分片的 MD5 拼接后再求 MD5,末尾加上分片数,官方文档的示例为 “-9”。多分片上传时,整对象校验只支持 CRC-64/NVME、CRC-32 和 CRC-32C,SHA-256 只能使用组合校验。因此要用 SHA-256 核对整个文件时,需要由应用自己保存整文件的 SHA-256。 + +### 合并与清理 + +S3 的完成请求要求列出每个分片的分片号和 ETag,服务端按分片号升序拼接,完成后分片不再存在。自建服务可以直接使用服务端保存的清单,拼接同样按分片号升序进行,并以流的方式进行,每次只读写 1 MiB,不能把整个文件读入内存。 + +两个完成请求同时到达时,只能有一个进入合并。实现方法是用条件更新把上传状态从 uploading 改为 completing,影响的行数为 0 说明已有请求在处理。合并失败时把状态改回 uploading,客户端可以重试。如果服务在合并过程中崩溃,状态会停留在 completing,需要用超时机制把它恢复。 + +未完成的上传会占用存储。S3 对未完成的分片按存储量计费,直到上传完成或取消;官方建议配置生命周期规则 AbortIncompleteMultipartUpload 自动删除超期的未完成上传。在 S3 中,取消之后原上传 ID 不能再用于上传分片。自建服务同样需要定期取消超期的上传并删除分片,取消接口的实测见[附录 A9](#a9-分片上传的最小实现与实测)。 + +### 对象存储的分片上传 + +对象存储(Object Storage)的分片上传是同样的流程,Amazon S3 的接口分别为:CreateMultipartUpload(初始化,返回 UploadId)、UploadPart(上传分片,返回 ETag)、ListParts(列出已上传的分片)、CompleteMultipartUpload(按分片号和 ETag 完成)、AbortMultipartUpload(取消)。 + +主要限制以官方文档为准,2026 年 10 月核对:单个对象最大 48.8 TiB;每次上传最多 10000 片,分片号为 1 到 10000;除最后一片外,分片大小为 5 MiB 到 5 GiB;ListParts 每次最多返回 1000 片;单次 PUT 最多上传 5 GB,超过的文件要用分片上传。 + +分片本身不是对象,只有完成请求之后才生成对象,分片也随之消失。因此合并是分片上传的最后一步。在 S3 中,合并由存储服务按分片号组合,应用不需要再下载、拼接并重新上传一次。 + +MinIO 兼容 S3 的分片上传接口,它的限制与 S3 一致:分片号必须在 1 到 10000 之间,分片小于 5 MB 时返回 EntityTooSmall 错误。应用侧的流程与上文相同,区别在于分片由 MinIO 保存,完成时由 MinIO 组合成对象。如果希望大文件不经过应用服务器,也可以让客户端用预签名 URL 直接上传到对象存储,应用服务只保存上传状态。 + +## 十二、权限系统 + +权限系统要解决两个问题:功能权限指的是用户能不能执行某个操作,数据权限指的是用户能看到哪些数据。例如在采购后台中,采购员可以创建采购订单,但只能看到自己创建的订单;采购主管可以审批订单,并能看到本部门的全部订单。前者由接口权限决定,后者由数据范围决定。 + +### 功能权限与 RBAC + +#### 1. 基本模型 + +基于角色的访问控制(Role-Based Access Control, RBAC)把权限授予角色,再把角色分配给用户,用户通过角色间接获得权限。Sandhu 等人在 1996 年提出的参考模型中,权限与角色相关联,用户是角色的成员;这一模型与 Ferraiolo 和 Kuhn 的模型在 2000 年统一为 NIST 的 RBAC 模型,2004 年成为 ANSI/INCITS 359-2004 标准。 + +逐个用户授权的成本很高。NIST 指出,管理员通常要为每个用户单独指定访问控制列表(Access Control List, ACL),既费事又容易出错。例如有 200 个采购员,每人 15 个权限,假设共有 4 个角色:逐人授权需要 3000 条用户-权限记录;使用角色时,需要 200 条用户-角色记录,加上 4 个角色各 15 条角色-权限记录,共 260 条(计算值)。权限变更时只需修改角色,不必逐个用户调整。 + +#### 2. 表结构 + +以采购管理后台为例,权限相关的数据分为五张表:用户、角色、权限、用户-角色和角色-权限。建表语句如下(MySQL 8.0): + +```sql +CREATE TABLE sys_user ( + id BIGINT PRIMARY KEY, + username VARCHAR(64) NOT NULL UNIQUE, + dept_id BIGINT NOT NULL +); + +CREATE TABLE sys_role ( + id BIGINT PRIMARY KEY, + name VARCHAR(64) NOT NULL UNIQUE, + data_scope ENUM('SELF', 'DEPT', 'ALL') NOT NULL +); + +CREATE TABLE sys_permission ( + id BIGINT PRIMARY KEY, + code VARCHAR(64) NOT NULL UNIQUE, + http_method VARCHAR(8) NOT NULL, + url VARCHAR(255) NOT NULL, + UNIQUE KEY uk_method_url (http_method, url) +); + +CREATE TABLE sys_user_role ( + user_id BIGINT NOT NULL, + role_id BIGINT NOT NULL, + PRIMARY KEY (user_id, role_id), + KEY idx_role_id (role_id) +); + +CREATE TABLE sys_role_permission ( + role_id BIGINT NOT NULL, + perm_id BIGINT NOT NULL, + PRIMARY KEY (role_id, perm_id), + KEY idx_perm_id (perm_id) +); +``` + +sys_permission 中的 code 是权限码,格式为“资源:操作”;http_method 和 url 是对应的接口。用户与角色、角色与权限都是多对多关系,因此各用一张关联表表示。关联表以两个外键组成联合主键,保证同一对关系只出现一次;另一个索引用于反向查询,例如查询拥有某个角色的全部用户。 + +示例数据中,采购员拥有 order:query 和 order:create,采购主管在此基础上还拥有 order:approve,财务拥有 order:query 和 payment:query。张三、赵六是采购员,李四是采购主管,王五是财务,孙七暂时没有角色。部门表从略,dept_id 为 10 表示采购部。图中高亮的是张三创建订单时经过的记录。 + +

+ +判断某个用户能否调用某个接口,就是沿着用户、角色、权限三级关系查找是否存在匹配的记录: + +```sql +SELECT EXISTS ( + SELECT 1 + FROM sys_user_role ur + JOIN sys_role_permission rp ON rp.role_id = ur.role_id + JOIN sys_permission p ON p.id = rp.perm_id + WHERE ur.user_id = 1001 AND p.http_method = 'POST' AND p.url = '/api/orders' +) AS allowed; +``` + +返回 1 表示允许,0 表示拒绝。张三创建订单返回 1,审批订单返回 0;李四审批订单返回 1;没有角色的孙七访问订单接口返回 0(MySQL 8.0 实测,见[附录 A11](#a11-权限判断与执行计划))。执行计划中,三张表分别通过唯一索引、主键前缀和主键查找,预估行数均为 1。 + +#### 3. 权限的检查位置 + +权限需要在多个位置体现,但真正的安全边界只能放在服务端: + +- 前端:根据权限码显示菜单和按钮。这只改善使用体验,前端的判断可以被绕过,不能作为安全边界; +- 服务端:通过拦截器或注解读取当前用户的权限码集合,与接口要求的权限码比较,不满足时返回 403。例如在接口方法上标注需要 order:create,调用前由框架完成检查; +- 网关:一般只校验登录状态。接口需要哪个权限码由服务定义,网关不能替代服务端的检查。 + +OWASP 的授权速查表建议在服务端对每次请求校验权限,并且默认拒绝:没有匹配的授权规则时,结果是拒绝,而不是放行。 + +#### 4. 权限缓存与失效 + +每次请求都执行三表连接会增加数据库压力,因此常把用户的权限码集合缓存起来,例如在 Redis 中以用户 ID 为键保存权限码集合(示意)。缓存失效取决于变更的对象: + +- 修改用户的角色:删除该用户的缓存; +- 修改角色的权限:找出拥有该角色的全部用户并删除他们的缓存。用户很多时,可以改为给权限数据加版本号,角色变更时递增版本号,缓存中的版本号与之不一致时重新加载。 + +删除缓存与更新数据库之间的先后顺序问题见 [缓存一致性](缓存.md#缓存一致性)。权限码不要直接写入 JSON Web Token(JWT):已签发的 Token 不会随数据库变化,权限变更要等到 Token 过期才生效。Token 中通常只保存用户 ID,权限在服务端查询并缓存。 + +#### 5. 动态权限 + +硬编码的权限把角色写在代码中,例如判断 roleKey 是否等于 admin,新增角色或调整权限都要改代码并重新发版。动态权限把角色、权限以及它们的关系保存在数据库中,由管理后台维护,接口检查时读取这些数据。管理员修改 sys_role_permission 之后,经过缓存失效,新的权限即可生效,不需要发版。 + +### 数据权限 + +#### 1. 数据范围 + +功能权限决定能否调用订单接口,数据权限决定查询结果包含哪些行。角色上的 data_scope 指定它能看到的范围:SELF 表示只能看本人创建的数据,DEPT 表示本部门的数据,ALL 表示全部数据。订单表记录了创建人和所属部门: + +```sql +CREATE TABLE sys_order ( + id BIGINT PRIMARY KEY, + title VARCHAR(128) NOT NULL, + amount DECIMAL(12,2) NOT NULL, + creator_id BIGINT NOT NULL, + dept_id BIGINT NOT NULL, + KEY idx_creator (creator_id), + KEY idx_dept (dept_id) +); +``` + +表中有 4 条订单:订单 1 和 3 由张三创建,订单 2 由李四创建,订单 4 由赵六创建;订单 1 至 3 属于采购部,订单 4 属于研发部。按角色的数据范围,各用户能看到的订单如下: + +- 张三(采购员,SELF):订单 1、3; +- 李四(采购主管,DEPT):订单 1、2、3; +- 王五(财务,ALL):全部 4 条; +- 赵六(采购员,SELF):订单 4; +- 孙七(没有角色):0 条。 + +实现时,把数据范围转换为查询条件,例如: + +```sql +-- 张三:采购员,SELF +SELECT id, title FROM sys_order WHERE creator_id = 1001 ORDER BY id; +-- 李四:采购主管,DEPT +SELECT id, title FROM sys_order WHERE dept_id = 10 ORDER BY id; +-- 王五:财务,ALL,不追加条件 +SELECT id, title FROM sys_order ORDER BY id; +``` + +用户拥有多个角色时,各角色的条件用 OR 合并;只要有一个角色是 ALL,就不追加条件。没有任何角色时追加 WHERE 1 = 0,孙七的查询因此返回 0 行(MySQL 8.0 实测,见[附录 A12](#a12-数据范围分页总数与写操作))。 + +#### 2. 实现与注意事项 + +常见做法是在 Mapper 或 DAO 层用注解标记需要过滤的查询,由 AOP 或 MyBatis 拦截器在执行前把范围条件追加到 WHERE 中,业务代码不需要关心范围。这种做法需要注意以下几点: + +- 条件的值必须通过参数绑定传入,不能拼接字符串; +- 多表关联或子查询中,条件要加在正确的表别名上,拦截器需要能正确解析 SQL; +- 分页的总数(COUNT)也要带同一条件。张三的订单列表只有 2 条,不带条件的 COUNT(*) 却返回 4,分页会显示错误的总数; +- 修改和删除同样要带范围条件。张三修改订单 2 时,执行 UPDATE sys_order SET amount = 1 WHERE id = 2 AND creator_id = 1001,影响行数为 0,应用据此拒绝请求。这是为了防止不安全的直接对象引用(Insecure Direct Object Reference, IDOR),即用户只改动 URL 中的 ID 就访问到别人的数据; +- 部门有层级时,DEPT 的范围还应包括下级部门,可以在部门表中保存祖先路径,或使用闭包表; +- 数据库自带的行级安全策略(例如 PostgreSQL 的 Row Security Policies)会在每次查询时自动追加策略条件,本节的 MySQL 示例则在应用层实现。 + +检索增强生成(RAG)中同样需要数据权限。权限条件应作为检索的过滤条件,在文档进入模型的上下文之前完成过滤;否则模型可能引用用户无权查看的文档。 + +### 其他权限模型 + +#### 1. ACL 与 ABAC + +ACL 以资源为中心,每个资源直接列出可以访问它的主体和操作,例如某个网盘文件的 ACL 为 zhangsan 可读、lisi 可读写。它适合个人之间的共享,但授权关系分散在每个资源上,用户和资源很多时难以统一管理。 + +基于属性的访问控制(Attribute-Based Access Control, ABAC)根据主体、客体、操作和环境条件的属性计算授权。NIST SP 800-162 的定义是:授权由这些属性与策略、规则或关系比较后决定。例如“金额超过 1 万元的订单只能由采购部主管在工作时间审批”,其中金额、部门和时间都是属性。ABAC 的表达能力强,但策略数量增加后难以理解和审计。 + +三者的区别在于授权的依据不同: + +- RBAC 以角色为中心:适合组织结构稳定、权限按岗位划分的后台系统; +- ACL 以资源为中心:适合少量资源的个人分享; +- ABAC 以属性为中心:适合条件多变、需要按时间、地点或金额细分的场景。 + +#### 2. 混合使用与角色继承 + +实际系统通常混合使用三者。一种常见的判断顺序是:先检查 ACL 中的显式拒绝,再检查 RBAC 的角色权限,最后检查 ABAC 条件。显式拒绝优先于允许,例如某个用户的角色允许审批,但被单独禁止审批某笔订单时,仍然拒绝。 + +RBAC 还可以扩展两类约束。角色继承(role hierarchy)指高级角色自动拥有低级角色的权限,例如采购主管继承采购员的权限,表中只需为采购主管配置审批权限。职责分离(separation of duty)指互相冲突的角色不能由同一个人同时拥有,例如创建订单的角色与审批订单的角色互斥。 + +组织结构是多维的时候,只用角色一个维度不够。例如同一个人既属于某个部门,又参与多条业务线,权限可以按部门、业务线和角色的组合授予,这是在 RBAC 之上叠加属性条件的做法。 + +### Agent 的最小权限 + +Agent 调用工具时,模型只输出调用意图,是否真正执行由权限检查决定。最小权限的做法是:为每个 Agent 只配置完成任务所需的工具和数据范围,读操作与写操作分开授权,高风险操作需要人工审批,见 [大模型应用](大模型应用.md#安全)。 + ## 附录:实测 环境为 Apple M1 Pro、macOS,Redis 7.4.1 使用默认配置,客户端为 redis-py。 -秒杀:库存 stock 为 100,用户 0~999 各请求 2 次,共 2000 个请求由 64 个线程并发执行。Lua 脚本与正文相同;对比的写法依次执行 SISMEMBER、GET、DECR、SADD 四条命令: +### A1 秒杀 + +库存 stock 为 100,用户 0~999 各请求 2 次,共 2000 个请求由 64 个线程并发执行。Lua 脚本与正文相同;对比的写法依次执行 SISMEMBER、GET、DECR、SADD 四条命令: ```python def naive(u): @@ -303,7 +701,9 @@ Lua 脚本:成功 100,库存不足 1800,重复购买 100,剩余库存 0 先 GET 再 DECR(第 3 次):成功 114,库存不足 1886,重复购买 0,剩余库存 -14 ``` -短链跳转:服务器对 /a 返回 301、对 /b 返回 302,Location 都是 /target。用 Edge 156 分别访问 /a 两次、/b 两次,服务器收到的请求: +### A2 短链跳转 + +服务器对 /a 返回 301、对 /b 返回 302,Location 都是 /target。用 Edge 156 分别访问 /a 两次、/b 两次,服务器收到的请求: ```text HIT /a @@ -317,7 +717,9 @@ HIT /b HIT /target ``` -Feed 流:推模式向 10 万个收件箱各写入 1 条(流水线,每 1000 条提交一次);读一页为 ZREVRANGE 取 20 条,执行 1000 次取平均;拉模式为 500 个发件箱各有 20 条帖子,用流水线各取最新 20 条再排序,执行 20 次取平均。内存是写入前后 INFO memory 中 used_memory 的差: +### A3 Feed 流 + +推模式向 10 万个收件箱各写入 1 条(流水线,每 1000 条提交一次);读一页为 ZREVRANGE 取 20 条,执行 1000 次取平均;拉模式为 500 个发件箱各有 20 条帖子,用流水线各取最新 20 条再排序,执行 20 次取平均。内存是写入前后 INFO memory 中 used_memory 的差: ```text 推:写入 100000 个收件箱 481 ms @@ -328,9 +730,447 @@ Feed 流:推模式向 10 万个收件箱各写入 1 条(流水线,每 1000 OBJECT ENCODING inbox:0 -> listpack ``` +### A4 MySQL 主键点查的并发扫描 + +环境:MySQL 8.0.44,通过 unix socket 连接;Apple M1 Pro(10 核),macOS 15.8.1;客户端 mysqlslap 与服务端在同一台机器上。表 `t1_item` 有 10 万行,主键为 `id BIGINT`,表大小约 5.5 MB,小于 128 MB 的 InnoDB 缓冲池,预热后查询都在内存中完成。 + +查询为 2000 条不同主键的语句循环执行,形如: + +```sql +SELECT name, price, stock FROM t1_item WHERE id = 48213; +``` + +命令(每个并发数执行 3 次,每次 10 万条查询): + +```bash +mysqlslap --user=root --socket= --create-schema=demo \ + --concurrency=1,4,8,16,32,64,128 --iterations=3 --number-of-queries=100000 \ + --query=<查询文件> +``` + +| 并发数 | 耗时(秒,3 次平均) | 吞吐量(QPS) | 平均响应时间(ms) | +| --- | --- | --- | --- | +| 1 | 2.468 | 40519 | 0.025 | +| 4 | 0.879 | 113766 | 0.035 | +| 8 | 0.642 | 155763 | 0.051 | +| 16 | 0.593 | 168634 | 0.095 | +| 32 | 0.699 | 143062 | 0.224 | +| 64 | 0.557 | 179476 | 0.357 | +| 128 | 0.522 | 191510 | 0.668 | + +吞吐量为实际执行条数除以耗时。mysqlslap 的 `--number-of-queries` 指每个客户端约执行的条数([mysqlslap 手册](https://dev.mysql.com/doc/refman/8.0/en/mysqlslap.html)),64 和 128 个连接时取整后实际分别执行 99968 条。平均响应时间为耗时除以每个客户端的条数,即并发数 ÷ 吞吐量,包含客户端自身的开销。32 个连接的单次耗时在 0.557 至 0.927 秒之间波动。 + +原始输出(并发数 16 的一段): + +```text +Benchmark + Average number of seconds to run all queries: 0.593 seconds + Minimum number of seconds to run all queries: 0.584 seconds + Maximum number of seconds to run all queries: 0.600 seconds + Number of clients running queries: 16 + Average number of queries per client: 6250 +``` + +### A5 热点行与分散行的 UPDATE + +环境同[附录 A4](#a4-mysql-主键点查的并发扫描)。表 `t1_stock` 有 100 行(`sku_id` 为 1 至 100,`sold` 为计数)。热点负载为: + +```sql +UPDATE t1_stock SET sold = sold + 1 WHERE sku_id = 1; +``` + +分散负载为 2000 条语句,`sku_id` 为 1 至 100 之间的随机数。两者都是自动提交,每个并发数执行 20000 条,3 次平均。服务端的 `innodb_flush_log_at_trx_commit` 和 `sync_binlog` 均为默认值 1,每次提交都要刷盘。 + +| 并发数 | 热点行 TPS | 热点行响应时间(ms) | 分散行 TPS | 分散行响应时间(ms) | +| --- | --- | --- | --- | --- | +| 1 | 8669 | 0.115 | 7886 | 0.127 | +| 4 | 9592 | 0.417 | 18100 | 0.221 | +| 16 | 9005 | 1.777 | 25000 | 0.640 | +| 64 | 8022 | 7.978 | 33730 | 1.897 | + +热点行的吞吐量约为 1 ÷ 0.115 ms,即约 8700 TPS,与并发数无关。这说明同一行的事务是串行执行的。 + +### A6 本机单条查询的往返延迟 + +单连接执行 `SELECT 1`(pymysql,unix socket,20000 次):平均 0.030 ms,中位数 0.030 ms,p99 0.048 ms。本机往返远小于同机房的网络往返,正文中的锁持有时间按假设的 0.5 ms 计算,不能用本机数据代替。 + +### A7 Redis GET 的并发扫描 + +环境:Redis 7.4.1,redis-benchmark 7.4.1,与 Redis 在同一台 Apple M1 Pro 上运行,键为随机的 100000 个。每个连接数重复 3 轮,每轮 20 万请求,取中位数: + +```bash +redis-benchmark -p 6395 --csv -t get -r 100000 -n 200000 -c <连接数> +``` + +| 连接数 | 吞吐量中位数(QPS) | 平均延迟中位数(ms) | P99 中位数(ms) | 三轮吞吐量(QPS) | +| --- | --- | --- | --- | --- | +| 1 | 13348 | 0.069 | 0.135 | 10994、13600、13348 | +| 4 | 33151 | 0.113 | 0.175 | 31109、33151、33344 | +| 16 | 93809 | 0.149 | 0.255 | 95329、91659、93809 | +| 50 | 124844 | 0.323 | 0.559 | 116414、124844、125000 | +| 200 | 122699 | 1.035 | 1.975 | 109111、126342、122699 | +| 1000 | 115607 | 4.761 | 15.967 | 115607、118273、91366 | + +第一轮的 1 个连接出现过 288 ms 的最大延迟,属于环境波动,不影响中位数。按“并发数 ÷ 吞吐量”估算的时间比 redis-benchmark 的平均延迟大,例如 1000 个连接时分别约为 8.7 ms 和 4.8 ms,差值来自客户端自身的排队,所以该公式只用于数量级估算。 + +### A8 由配置推算 Qwen2.5-7B 的参数与 KV Cache + +配置来自 [Qwen2.5-7B-Instruct 的 config.json](https://huggingface.co/Qwen/Qwen2.5-7B-Instruct/blob/main/config.json):`hidden_size` 3584,`num_attention_heads` 28,`num_key_value_heads` 4,`num_hidden_layers` 28,`intermediate_size` 18944,`vocab_size` 152064,`tie_word_embeddings` 为 false,`torch_dtype` 为 bfloat16。 + +```python +L, h, V, inter, kv_heads = 28, 3584, 152064, 18944, 4 +head_dim = h // 28 # 3584 / 28 = 128 +attn = h * h * 2 + 2 * h * kv_heads * head_dim # q、o 为 h×h,k、v 为 h×(kv_heads×head_dim) +mlp = 3 * h * inter # gate、up、down +params = L * (attn + mlp) + 2 * V * h # 输入嵌入与输出层不共享 +kv_per_token = 2 * L * kv_heads * head_dim * 2 # K 与 V,bfloat16 为 2 字节 +print(params / 1e9, kv_per_token) +``` + +输出为 `7.615 57344`,即约 7.6 B 参数(官方模型卡标注为 7.61B)和每个 token 57344 字节的 KV Cache。计算忽略了偏置和归一化层的参数,数量级很小。 + +### A9 分片上传的最小实现与实测 + +环境:Apple M1 Pro,macOS 15.8.1;Python 3.13.7,标准库 http.server 和 hashlib,pymysql 2.2.8;MySQL 8.0.44,demo 库中三张表 t2_upload、t2_part、t2_file。测试文件为 300 MiB(314572800 字节),由固定种子的伪随机数生成,分片 5 MiB,共 60 片。 + +服务端的分片接收和合并(核心片段,省略建表、路由和部分错误分支): + +```python +# 服务端:接收分片。先写临时文件,长度和 SHA-256 都正确才替换同号分片 +def put_part(self, uid, n): + length = int(self.headers['Content-Length']) + tmp = f'{DATA}/uploads/{uid}/{n}.{uuid.uuid4().hex}.tmp' + h, md5, got = hashlib.sha256(), hashlib.md5(), 0 + with open(tmp, 'wb') as f: + while got < length: + buf = self.rfile.read(min(CHUNK, length - got)) + if not buf: # 客户端中途断开 + break + f.write(buf); h.update(buf); md5.update(buf); got += len(buf) + expect = q("SELECT expect_sha256 FROM t2_part WHERE upload_id=%s AND part_no=%s", + (uid, n), 'one') + if got != length or h.hexdigest() != expect['expect_sha256']: + os.remove(tmp) + return self.send(400 if got != length else 409, {'error': 'part rejected'}) + os.replace(tmp, part_path(uid, n)) # 同号分片被覆盖 + q("UPDATE t2_part SET size=%s, etag=%s WHERE upload_id=%s AND part_no=%s", + (got, md5.hexdigest(), uid, n)) + self.send(200, {'part': n, 'etag': md5.hexdigest()}) + +# 服务端:完成上传。条件更新保证只有一个请求进入合并,合并时流式计算整文件哈希 +if q("UPDATE t2_upload SET status='completing' WHERE id=%s AND status='uploading'", (uid,)) == 0: + return self.send(409, {'error': 'being completed or aborted'}) +# 此处省略检查缺片、逐片核对哈希的代码 +h = hashlib.sha256() +with open(tmp, 'wb') as out: + for p in parts: # 按分片号升序 + with open(part_path(uid, p['part_no']), 'rb') as src: + while buf := src.read(CHUNK): # CHUNK = 1 MiB + out.write(buf); h.update(buf) +if h.hexdigest() != u['sha256']: + os.remove(tmp) + return self.send(409, {'error': 'file sha256 mismatch'}) +os.replace(tmp, os.path.join(DATA, 'files', u['sha256'])) +``` + +客户端的初始化与续传循环(核心片段,省略命令行参数): + +```python +# 客户端:一次顺序读取同时得到整文件哈希和每片哈希 +size, ps = os.path.getsize(path), 5 << 20 +sha, parts = scan(path, ps) +st, r = call('POST', '/uploads', {'name': name, 'size': size, 'sha256': sha, + 'part_size': ps, 'part_sha256': parts}) +if r.get('instant'): # 秒传:服务端已有相同哈希的文件 + sys.exit(0) +uid = r['upload_id'] +done = set(call('GET', f'/uploads/{uid}')[1]['uploaded']) # 断点续传:查询已完成的分片 +for n in range(1, len(parts) + 1): + if n in done: + continue + data = read_part(path, ps, n) + for attempt in range(3): # 单片失败只重试这一片,间隔 0.5 s、1 s + try: + st, rr = call('PUT', f'/uploads/{uid}/parts/{n}', raw=data) + break + except OSError: + time.sleep(0.5 * 2 ** attempt) + else: + sys.exit(1) +call('POST', f'/uploads/{uid}/complete') +``` + +实验输出(省略了状态中过长的分片列表,原始输出完整保存): + +```text +input a.bin 314572800 bytes sha256=3b89d933a7e61175fa6bb3e7ffec229a23a0a13977e34c982ab9f7e751562ad9 +input b.bin 104857600 bytes; d.bin 12582912 bytes + +== A1 上传 300 MiB 文件,第 37 个分片传到一半时连接中断 +$ 客户端 upload a.bin --name lecture.mp4 --drop 37 +scan size=314572800 part_size=5242880 parts=60 sha256=3b89d933a7e61175.. cost=0.31s +init 201 {'upload_id': 'b80db1c51e31407b', 'part_count': 60, 'part_size': 5242880} +upload_id=b80db1c51e31407b +status before upload: 0/60 parts uploaded +part 37: connection lost after 2621440 of 5242880 bytes +[exit 1] + +== A2 中断后直接完成:分片不齐,服务端拒绝合并 +$ 客户端 complete b80db1c51e31407b +(400, {'error': 'missing parts', 'count': 24, 'missing': [37, 38, 39, 40, 41, 42, …, 59, 60]}) +[exit 0] + +== A3 查询已上传的分片 +$ 客户端 status b80db1c51e31407b +(200, {'status': 'uploading', 'part_count': 60, 'uploaded': [1, 2, 3, 4, 5, 6, …, 35, 36]}) +[exit 0] + +== A4 重启服务端进程后再查询:分片信息已在 MySQL 中 +$ 客户端 status b80db1c51e31407b +(200, {'status': 'uploading', 'part_count': 60, 'uploaded': [1, 2, 3, 4, 5, 6, …, 35, 36]}) +[exit 0] + +== A5 续传:同一文件再次初始化,返回同一个上传 ID,只补传缺失的分片 +$ 客户端 upload a.bin --name lecture.mp4 --no-complete +scan size=314572800 part_size=5242880 parts=60 sha256=3b89d933a7e61175.. cost=0.32s +init 200 {'upload_id': 'b80db1c51e31407b', 'resumed': True} +upload_id=b80db1c51e31407b +status before upload: 36/60 parts uploaded +uploaded parts 37..60 (24 parts), last etag=ff8fb5973c0ec16740e30ad6bd786dbc +upload b80db1c51e31407b left open +[exit 0] + +== A6 同一分片重复上传:内容相同则覆盖;内容不同则与清单中的 SHA-256 不符,拒绝 +$ 客户端 part b80db1c51e31407b 10 a.bin +(200, {'part': 10, 'size': 5242880, 'etag': 'ee4a92058a5211ffefd9cac23a7355ee', 'overwritten': True}) +[exit 0] +$ 客户端 part b80db1c51e31407b 10 a.bin --flip +(409, {'error': 'part sha256 differs from manifest', 'part': 10}) +[exit 0] +$ 客户端 status b80db1c51e31407b +(200, {'status': 'uploading', 'part_count': 60, 'uploaded': [1, 2, 3, 4, 5, 6, …, 59, 60]}) +[exit 0] + +== A7 完成上传:按序合并后计算整文件 SHA-256;重复提交完成请求返回同一结果 +$ 客户端 complete b80db1c51e31407b +(200, {'file_id': '3b89d933a7e61175fa6bb3e7ffec229a23a0a13977e34c982ab9f7e751562ad9', 'size': 314572800, 'sha256': '3b89d933a7e61175fa6bb3e7ffec229a23a0a13977e34c982ab9f7e751562ad9'}) +[exit 0] +input sha256 = 3b89d933a7e61175fa6bb3e7ffec229a23a0a13977e34c982ab9f7e751562ad9 +merged sha256 = 3b89d933a7e61175fa6bb3e7ffec229a23a0a13977e34c982ab9f7e751562ad9 size 314572800 == 314572800 +identical: True +$ 客户端 complete b80db1c51e31407b +(200, {'file_id': '3b89d933a7e61175fa6bb3e7ffec229a23a0a13977e34c982ab9f7e751562ad9', 'already_done': True}) +[exit 0] + +== B1 秒传:同一内容换个名字再传,初始化即返回已存在,不发送任何分片 +$ 客户端 upload a.bin --name copy-of-lecture.mp4 +scan size=314572800 part_size=5242880 parts=60 sha256=3b89d933a7e61175.. cost=0.31s +init 200 {'instant': True, 'file_id': '3b89d933a7e61175fa6bb3e7ffec229a23a0a13977e34c982ab9f7e751562ad9'} +[exit 0] + +== C1 分片损坏:100 MiB 文件上传完成后,磁盘上的第 7 个分片被改了 1 个字节 +$ 客户端 upload b.bin --name b.bin --no-complete +scan size=104857600 part_size=5242880 parts=20 sha256=ffb2ebfc9f5be81c.. cost=0.10s +init 201 {'upload_id': '762fa9bd16a44d31', 'part_count': 20, 'part_size': 5242880} +upload_id=762fa9bd16a44d31 +status before upload: 0/20 parts uploaded +uploaded parts 1..20 (20 parts), last etag=333b556f23ee432c9fbba10811b8be9d +upload 762fa9bd16a44d31 left open +[exit 0] +$ 客户端 complete 762fa9bd16a44d31 +(409, {'error': 'stored parts corrupted, re-upload them', 'parts': [7]}) +[exit 0] +$ 客户端 status 762fa9bd16a44d31 +(200, {'status': 'uploading', 'part_count': 20, 'uploaded': [1, 2, 3, 4, 5, 6, …, 19, 20]}) +[exit 0] + +== C2 只重传被标记的分片,然后完成 +$ 客户端 upload b.bin --name b.bin +scan size=104857600 part_size=5242880 parts=20 sha256=ffb2ebfc9f5be81c.. cost=0.10s +init 200 {'upload_id': '762fa9bd16a44d31', 'resumed': True} +upload_id=762fa9bd16a44d31 +status before upload: 19/20 parts uploaded +uploaded parts 7..7 (1 parts), last etag=bcd8182bf9bf0850c6df47588fa59f7c +complete 200 {'file_id': 'ffb2ebfc9f5be81c82c317814b0f2cea3a7878daf5f65be60baa1c36680cf4ef', 'size': 104857600, 'sha256': 'ffb2ebfc9f5be81c82c317814b0f2cea3a7878daf5f65be60baa1c36680cf4ef'} +[exit 0] + +== D1 取消上传:传到第 2 个分片时中断,随后调用取消 +$ 客户端 upload d.bin --name d.bin --drop 2 +scan size=12582912 part_size=5242880 parts=3 sha256=30ab925bef8b5568.. cost=0.01s +init 201 {'upload_id': 'e355c1f1002e409d', 'part_count': 3, 'part_size': 5242880} +upload_id=e355c1f1002e409d +status before upload: 0/3 parts uploaded +part 2: connection lost after 2621440 of 5242880 bytes +[exit 1] +$ 客户端 abort e355c1f1002e409d +(204, None) +[exit 0] +$ 客户端 status e355c1f1002e409d +(200, {'status': 'aborted', 'part_count': 3, 'uploaded': []}) +[exit 0] +upload directory exists after abort: False + +== E1 数据库状态 +t2_upload by status: (('aborted', 1), ('done', 2)) +t2_file rows: 2 +t2_part (upload_id, rows, uploaded): ('762fa9bd16a44d31', 20, Decimal('20')) +t2_part (upload_id, rows, uploaded): ('b80db1c51e31407b', 60, Decimal('60')) + +== 服务端日志 +listening on 49696 +incomplete body: upload b80db1c51e31407b part 37 got 2621440 of 5242880 +listening on 49696 +incomplete body: upload e355c1f1002e409d part 2 got 2621440 of 5242880 +``` + +分片的 ETag 与原始字节的 MD5 核对:分片 10 的 ETag 为 ee4a92058a5211ffefd9cac23a7355ee,对同一段原始字节直接计算 MD5 得到相同的值。 + +### A10 推算数字 + +按正文的数值计算,输出如下(脚本与输出保存在实验目录中): + +```text +2 GiB 文件、5 MiB 分片:分片数 410,最后一片 3 MiB +2 GiB 在 10 Mbps 上行下传输时间:1718.0 s = 28.6 min +5 MiB 分片在 10 Mbps 下的传输时间:4.19 s +100 MiB 分片在 10 Mbps 下的传输时间:83.9 s +2 TiB 对象、10000 片:每片至少 209.7 MiB +2 TiB 对象、5 MiB 分片:需要 419431 片,超过 10000 片的上限 +48.8 TiB 对象、10000 片:每片至少 5.00 GiB(官方上限 5 GiB) +10000 × 5 GiB = 48.83 TiB +300 MiB 在 10 Mbps 下的传输时间:251.7 s = 4.2 min +300 MiB 文件、5 MiB 分片:60 片;第 37 片中断前已完成 36 片 = 180 MiB,占 60% +中断后需要重传:不分片从头 300 MiB;分片只需补传第 37~60 片,共 120 MiB +SHA-256 扫描 300 MiB 实测 0.31 s,换算 2 GiB 约 2.12 s +``` + +### A11 权限判断与执行计划 + +环境:MySQL 8.0.44,macOS(Apple M1 Pro),库 t3_rbac,客户端字符集 utf8mb4。判断查询与正文相同,五个用例只替换 user_id、请求方法和路径。原始输出如下: + +```text ++--------------------------------+---------+ +| case_ | allowed | ++--------------------------------+---------+ +| 1001 POST /api/orders | 1 | +| 1001 POST /api/orders/approve | 0 | +| 1002 POST /api/orders/approve | 1 | +| 1003 GET /api/payments | 1 | +| 1005 GET /api/orders (no role) | 0 | ++--------------------------------+---------+ + ++----+-------------+-------+------------+--------+-----------------------+---------------+---------+--------------------------+------+----------+-------------+ +| id | select_type | table | partitions | type | possible_keys | key | key_len | ref | rows | filtered | Extra | ++----+-------------+-------+------------+--------+-----------------------+---------------+---------+--------------------------+------+----------+-------------+ +| 1 | SIMPLE | p | NULL | const | PRIMARY,uk_method_url | uk_method_url | 1056 | const,const | 1 | 100.00 | NULL | +| 1 | SIMPLE | ur | NULL | ref | PRIMARY,idx_role_id | PRIMARY | 8 | const | 1 | 100.00 | Using index | +| 1 | SIMPLE | rp | NULL | eq_ref | PRIMARY,idx_perm_id | PRIMARY | 16 | t3_rbac.ur.role_id,const | 1 | 100.00 | Using index | ++----+-------------+-------+------------+--------+-----------------------+---------------+---------+--------------------------+------+----------+-------------+ +``` + +### A12 数据范围、分页总数与写操作 + +环境同[附录 A11](#a11-权限判断与执行计划)。数据范围的查询与正文相同,COUNT 和 UPDATE 为: + +```sql +SELECT COUNT(*) FROM sys_order WHERE creator_id = 1001; +SELECT COUNT(*) FROM sys_order; +UPDATE sys_order SET amount = 1 WHERE id = 2 AND creator_id = 1001; +SELECT ROW_COUNT(); +SELECT id, amount FROM sys_order WHERE id = 2; +``` + +原始输出如下(UPDATE 之后订单 2 的金额仍为 8800.00,说明越权修改没有生效): + +```text ++----------------+----+----------+------------+---------+ +| who | id | title | creator_id | dept_id | ++----------------+----+----------+------------+---------+ +| 1001 张三 SELF | 1 | 办公用品 | 1001 | 10 | +| 1001 张三 SELF | 3 | 打印耗材 | 1001 | 10 | ++----------------+----+----------+------------+---------+ + ++----------------+----+----------+------------+---------+ +| who | id | title | creator_id | dept_id | ++----------------+----+----------+------------+---------+ +| 1002 李四 DEPT | 1 | 办公用品 | 1001 | 10 | +| 1002 李四 DEPT | 2 | 服务器 | 1002 | 10 | +| 1002 李四 DEPT | 3 | 打印耗材 | 1001 | 10 | ++----------------+----+----------+------------+---------+ + ++---------------+----+----------+------------+---------+ +| who | id | title | creator_id | dept_id | ++---------------+----+----------+------------+---------+ +| 1003 王五 ALL | 1 | 办公用品 | 1001 | 10 | +| 1003 王五 ALL | 2 | 服务器 | 1002 | 10 | +| 1003 王五 ALL | 3 | 打印耗材 | 1001 | 10 | +| 1003 王五 ALL | 4 | 测试设备 | 1004 | 20 | ++---------------+----+----------+------------+---------+ + ++----------------+----+----------+------------+---------+ +| who | id | title | creator_id | dept_id | ++----------------+----+----------+------------+---------+ +| 1004 赵六 SELF | 4 | 测试设备 | 1004 | 20 | ++----------------+----+----------+------------+---------+ + ++------------------+---------------+ +| who | rows_returned | ++------------------+---------------+ +| 1005 孙七 无角色 | 0 | ++------------------+---------------+ + ++------------------+ +| count_with_scope | ++------------------+ +| 2 | ++------------------+ + ++---------------------+ +| 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