{"id":104141,"date":"2026-09-11T22:09:35","date_gmt":"2026-09-11T14:09:35","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/104141.html"},"modified":"2026-09-11T22:09:35","modified_gmt":"2026-09-11T14:09:35","slug":"%e8%87%aa%e5%b7%b1%e8%ae%be%e8%ae%a1%e4%ba%86%e4%b8%80%e4%b8%aa%e5%85%91%e6%8d%a2%e7%a0%81%e7%ae%97%e6%b3%95%ef%bc%9a%e8%87%aa%e5%a2%9eid-base32%e8%bd%ac%e7%a0%81-%e6%8c%89%e4%bd%8d%e5%8a%a0","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/104141.html","title":{"rendered":"\u81ea\u5df1\u8bbe\u8ba1\u4e86\u4e00\u4e2a\u5151\u6362\u7801\u7b97\u6cd5\uff1a\u81ea\u589eID + Base32\u8f6c\u7801 + \u6309\u4f4d\u52a0\u6743\u7b7e\u540d + \u5f02\u6216\u6df7\u6dc6\uff0c\u9762\u8bd5\u88ab\u8ffd\u95ee\u7ec6\u8282\u65f6\u7ec8\u4e8e\u4e0d\u7528\u614c\u4e86"},"content":{"rendered":"

\u4e4b\u524d\u5199\u7684\u535a\u5ba2\u90fd\u662f\u56f4\u7ed5 Redis \u6570\u636e\u7ed3\u6784\u505a\u6587\u7ae0（Set \u505a\u70b9\u8d5e\u3001BitMap \u505a\u7b7e\u5230\u3001ZSet \u505a\u6392\u884c\u699c），\u8fd9\u5468\u7ec8\u4e8e\u6362\u4e86\u4e00\u4e2a\u65b9\u5411\u2014\u2014\u4f18\u60e0\u5238\u7cfb\u7edf\u3002\u6700\u8ba9\u6211\u4e0a\u5934\u7684\u662f\u5151\u6362\u7801\u751f\u6210\u7b97\u6cd5\u3002\u4ee5\u524d\u89c9\u5f97\u5151\u6362\u7801\u4e0d\u5c31\u662f\u4e2a\u968f\u673a\u5b57\u7b26\u4e32\u561b，\u76f4\u5230\u771f\u6b63\u9762\u5bf9\u9700\u6c42\u624d\u53d1\u73b0：\u8981\u552f\u4e00\u3001\u8981\u53ef\u8bfb\u3001\u8981\u9632\u5237\u3001\u8981\u9ad8\u6548\u3001\u8fd8\u8981\u80fd\u7528 BitMap \u9a8c\u8bc1\u5151\u6362\u72b6\u6001\u3002\u4e94\u4e2a\u8981\u6c42\u51d1\u5728\u4e00\u8d77，\u73b0\u6210\u7684\u7b97\u6cd5\u5168\u90fd\u4e0d\u591f\u7528，\u53ea\u80fd\u81ea\u5df1\u8bbe\u8ba1\u3002\u6574\u4e2a\u8fc7\u7a0b\u50cf\u62fc\u62fc\u56fe，\u6bcf\u4e00\u5757\u5355\u72ec\u770b\u90fd\u4e0d\u96be，\u62fc\u5728\u4e00\u8d77\u7684\u90a3\u4e00\u523b\u662f\u771f\u7684\u6709\u6210\u5c31\u611f\u3002<\/p>\n

\u4e00\u3001\u5151\u6362\u7801\u7684\u4e94\u4e2a\u9700\u6c42，\u73b0\u6210\u7b97\u6cd5\u5168\u90fd\u4e0d\u884c<\/h3>\n

\u5148\u8bf4\u8bf4\u5151\u6362\u7801\u8981\u6ee1\u8db3\u4ec0\u4e48\u6761\u4ef6：<\/p>\n\n\u9700\u6c42\u5177\u4f53\u8981\u6c42<\/tr>\n\n\n\n\n\n\n
\u53ef\u8bfb\u6027\u597d<\/td>\n\u4e0d\u8d85\u8fc7 10 \u4e2a\u5b57\u7b26，\u53ea\u80fd\u5927\u5199\u5b57\u6bcd + \u6570\u5b57（\u53bb\u6389\u6613\u6df7\u6dc6\u7684 I\u3001O\u30010\u30011）<\/td>\n<\/tr>\n
\u6570\u636e\u91cf\u5927<\/td>\n\u81f3\u5c11\u652f\u6301 10 \u4ebf\u4ee5\u4e0a\u7684\u5151\u6362\u7801<\/td>\n<\/tr>\n
\u552f\u4e00\u6027<\/td>\n\u6240\u6709\u5151\u6362\u7801\u7edd\u4e0d\u91cd\u590d<\/td>\n<\/tr>\n
\u9632\u91cd\u5151<\/td>\n\u5151\u6362\u8fc7\u7684\u7801\u4e0d\u80fd\u518d\u5151，\u9a8c\u8bc1\u8981\u9ad8\u6548<\/td>\n<\/tr>\n
\u9632\u66b4\u5237<\/td>\n\u89c4\u5f8b\u6027\u4e0d\u80fd\u592a\u5f3a，\u4e0d\u80fd\u88ab\u4eba\u731c\u51fa\u5176\u4ed6\u5151\u6362\u7801<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u62ff\u5230\u8fd9\u4e2a\u9700\u6c42，\u7b2c\u4e00\u53cd\u5e94\u662f UUID\u3002UUID \u552f\u4e00\u6027\u6ca1\u95ee\u9898，\u4f46\u5b83\u662f 128 \u4f4d\u7684，\u8f6c\u6210 Base32 \u8981 26 \u4e2a\u5b57\u7b26，\u8fdc\u8d85 10 \u4f4d\u9650\u5236\u3002<\/p>\n

\u7b2c\u4e8c\u53cd\u5e94\u662f\u96ea\u82b1\u7b97\u6cd5（Snowflake）\u300264 \u4f4d，\u8f6c Base32 \u8981 13 \u4e2a\u5b57\u7b26，\u8fd8\u662f\u8d85\u4e86\u3002<\/p>\n

\u7b2c\u4e09\u53cd\u5e94\u662f\u81ea\u589e ID\u300232 \u4f4d\u7684 Integer \u80fd\u652f\u6301 40 \u4ebf+，\u8f6c Base32 \u53ea\u8981 7 \u4e2a\u5b57\u7b26，\u5b8c\u5168\u591f\u7528\u3002\u800c\u4e14\u81ea\u589e ID \u5929\u7136\u6709\u5e8f，\u914d\u5408 Redis BitMap \u505a\u9632\u91cd\u5151\u6821\u9a8c，\u4e00\u4e2a bit \u4f4d\u4ee3\u8868\u4e00\u4e2a ID \u7684\u5151\u6362\u72b6\u6001，O(1) \u5c31\u80fd\u5224\u65ad\u3002<\/p>\n

\u81ea\u589e ID \u89e3\u51b3\u4e86\u552f\u4e00\u6027\u3001\u6570\u636e\u91cf\u3001\u53ef\u8bfb\u6027\u548c\u9632\u91cd\u5151，\u4f46\u6709\u4e00\u4e2a\u81f4\u547d\u95ee\u9898：\u592a\u6709\u89c4\u5f8b\u4e86\u3002ID \u662f 1\u30012\u30013 \u9012\u589e\u7684，\u522b\u4eba\u62ff\u5230\u4e00\u4e2a\u5151\u6362\u7801，\u7a0d\u5fae\u4e00\u63a8\u7b97\u5c31\u80fd\u731c\u51fa\u5176\u4ed6\u5151\u6362\u7801，\u751a\u81f3\u4f2a\u9020\u3002<\/p>\n

\u6240\u4ee5\u6838\u5fc3\u95ee\u9898\u53d8\u6210\u4e86：\u600e\u4e48\u7ed9\u81ea\u589e ID \u52a0\u4e00\u5c42"\u4f2a\u88c5"，\u8ba9\u5b83\u770b\u8d77\u6765\u6beb\u65e0\u89c4\u5f8b，\u4f46\u53c8\u80fd\u53cd\u5411\u89e3\u6790\u56de\u6765？<\/p>\n

\u4e8c\u3001\u501f\u9274 JWT \u7684\u601d\u8def：\u8f7d\u8377 + \u7b7e\u540d<\/h3>\n

\u8fd9\u4e2a\u95ee\u9898\u8ba9\u6211\u60f3\u5230\u4e86 JWT\u3002JWT \u7684 Header （\u5934\u90e8）\u548c Payload（\u8f7d\u8377） \u672c\u8d28\u4e0a\u5c31\u662f Base64 \u660e\u6587，\u8c01\u90fd\u80fd\u770b\u61c2\u3002\u5b83\u4e4b\u6240\u4ee5\u4e0d\u6015\u4f2a\u9020，\u662f\u56e0\u4e3a\u6709\u7b2c\u4e09\u90e8\u5206\u2014\u2014\u7b7e\u540d\u3002\u7b7e\u540d\u662f\u7528\u5bc6\u94a5\u5bf9\u524d\u4e24\u90e8\u5206\u505a\u54c8\u5e0c\u8fd0\u7b97\u5f97\u5230\u7684，\u5bc6\u94a5\u4e0d\u6cc4\u9732\u5c31\u6ca1\u4eba\u80fd\u4f2a\u9020\u3002<\/p>\n

\u5151\u6362\u7801\u4e5f\u53ef\u4ee5\u7528\u7c7b\u4f3c\u7684\u601d\u8def：<\/p>\n

#mermaid-svg-oKD9ikK7pJv4MgCu{font-family:\\”trebuchet ms\\”,verdana,arial,sans-serif;font-size:16px;fill:#333;}@keyframes edge-animation-frame{from{stroke-dashoffset:0;}}@keyframes dash{to{stroke-dashoffset:0;}}#mermaid-svg-oKD9ikK7pJv4MgCu .edge-animation-slow{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 50s linear infinite;stroke-linecap:round;}#mermaid-svg-oKD9ikK7pJv4MgCu .edge-animation-fast{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 20s linear infinite;stroke-linecap:round;}#mermaid-svg-oKD9ikK7pJv4MgCu .error-icon{fill:#552222;}#mermaid-svg-oKD9ikK7pJv4MgCu .error-text{fill:#552222;stroke:#552222;}#mermaid-svg-oKD9ikK7pJv4MgCu .edge-thickness-normal{stroke-width:1px;}#mermaid-svg-oKD9ikK7pJv4MgCu .edge-thickness-thick{stroke-width:3.5px;}#mermaid-svg-oKD9ikK7pJv4MgCu .edge-pattern-solid{stroke-dasharray:0;}#mermaid-svg-oKD9ikK7pJv4MgCu .edge-thickness-invisible{stroke-width:0;fill:none;}#mermaid-svg-oKD9ikK7pJv4MgCu .edge-pattern-dashed{stroke-dasharray:3;}#mermaid-svg-oKD9ikK7pJv4MgCu .edge-pattern-dotted{stroke-dasharray:2;}#mermaid-svg-oKD9ikK7pJv4MgCu .marker{fill:#333333;stroke:#333333;}#mermaid-svg-oKD9ikK7pJv4MgCu .marker.cross{stroke:#333333;}#mermaid-svg-oKD9ikK7pJv4MgCu svg{font-family:\\”trebuchet ms\\”,verdana,arial,sans-serif;font-size:16px;}#mermaid-svg-oKD9ikK7pJv4MgCu p{margin:0;}#mermaid-svg-oKD9ikK7pJv4MgCu .label{font-family:\\”trebuchet ms\\”,verdana,arial,sans-serif;color:#333;}#mermaid-svg-oKD9ikK7pJv4MgCu .cluster-label text{fill:#333;}#mermaid-svg-oKD9ikK7pJv4MgCu .cluster-label span{color:#333;}#mermaid-svg-oKD9ikK7pJv4MgCu .cluster-label span p{background-color:transparent;}#mermaid-svg-oKD9ikK7pJv4MgCu .label text,#mermaid-svg-oKD9ikK7pJv4MgCu span{fill:#333;color:#333;}#mermaid-svg-oKD9ikK7pJv4MgCu .node rect,#mermaid-svg-oKD9ikK7pJv4MgCu .node circle,#mermaid-svg-oKD9ikK7pJv4MgCu .node ellipse,#mermaid-svg-oKD9ikK7pJv4MgCu .node polygon,#mermaid-svg-oKD9ikK7pJv4MgCu .node path{fill:#ECECFF;stroke:#9370DB;stroke-width:1px;}#mermaid-svg-oKD9ikK7pJv4MgCu .rough-node .label text,#mermaid-svg-oKD9ikK7pJv4MgCu .node .label text,#mermaid-svg-oKD9ikK7pJv4MgCu .image-shape .label,#mermaid-svg-oKD9ikK7pJv4MgCu .icon-shape .label{text-anchor:middle;}#mermaid-svg-oKD9ikK7pJv4MgCu .node .katex path{fill:#000;stroke:#000;stroke-width:1px;}#mermaid-svg-oKD9ikK7pJv4MgCu .rough-node .label,#mermaid-svg-oKD9ikK7pJv4MgCu .node .label,#mermaid-svg-oKD9ikK7pJv4MgCu .image-shape .label,#mermaid-svg-oKD9ikK7pJv4MgCu .icon-shape .label{text-align:center;}#mermaid-svg-oKD9ikK7pJv4MgCu .node.clickable{cursor:pointer;}#mermaid-svg-oKD9ikK7pJv4MgCu .root .anchor path{fill:#333333!important;stroke-width:0;stroke:#333333;}#mermaid-svg-oKD9ikK7pJv4MgCu .arrowheadPath{fill:#333333;}#mermaid-svg-oKD9ikK7pJv4MgCu .edgePath .path{stroke:#333333;stroke-width:2.0px;}#mermaid-svg-oKD9ikK7pJv4MgCu .flowchart-link{stroke:#333333;fill:none;}#mermaid-svg-oKD9ikK7pJv4MgCu .edgeLabel{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-oKD9ikK7pJv4MgCu .edgeLabel p{background-color:rgba(232,232,232, 0.8);}#mermaid-svg-oKD9ikK7pJv4MgCu .edgeLabel rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-oKD9ikK7pJv4MgCu .labelBkg{background-color:rgba(232, 232, 232, 0.5);}#mermaid-svg-oKD9ikK7pJv4MgCu .cluster rect{fill:#ffffde;stroke:#aaaa33;stroke-width:1px;}#mermaid-svg-oKD9ikK7pJv4MgCu .cluster text{fill:#333;}#mermaid-svg-oKD9ikK7pJv4MgCu .cluster span{color:#333;}#mermaid-svg-oKD9ikK7pJv4MgCu div.mermaidTooltip{position:absolute;text-align:center;max-width:200px;padding:2px;font-family:\\”trebuchet ms\\”,verdana,arial,sans-serif;font-size:12px;background:hsl(80, 100%, 96.2745098039%);border:1px solid #aaaa33;border-radius:2px;pointer-events:none;z-index:100;}#mermaid-svg-oKD9ikK7pJv4MgCu .flowchartTitleText{text-anchor:middle;font-size:18px;fill:#333;}#mermaid-svg-oKD9ikK7pJv4MgCu rect.text{fill:none;stroke-width:0;}#mermaid-svg-oKD9ikK7pJv4MgCu .icon-shape,#mermaid-svg-oKD9ikK7pJv4MgCu .image-shape{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-oKD9ikK7pJv4MgCu .icon-shape p,#mermaid-svg-oKD9ikK7pJv4MgCu .image-shape p{background-color:rgba(232,232,232, 0.8);padding:2px;}#mermaid-svg-oKD9ikK7pJv4MgCu .icon-shape .label rect,#mermaid-svg-oKD9ikK7pJv4MgCu .image-shape .label rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-oKD9ikK7pJv4MgCu .label-icon{display:inline-block;height:1em;overflow:visible;vertical-align:-0.125em;}#mermaid-svg-oKD9ikK7pJv4MgCu .node .label-icon path{fill:currentColor;stroke:revert;stroke-width:revert;}#mermaid-svg-oKD9ikK7pJv4MgCu :root{–mermaid-font-family:\\”trebuchet ms\\”,verdana,arial,sans-serif;}<\/p>\n

\u5151\u6362\u7801\u7684\u7ec4\u6210（50 bit）<\/p>\n

<\/span><\/p>\n

\u6bcf4\u4f4d\u4e00\u7ec4 \u00d7 \u52a0\u6743\u6570\u7ec4<\/p>\n

<\/span><\/p>\n

\u9009\u62e9\u7b2c\u51e0\u7ec4\u52a0\u6743\u6570\u7ec4<\/p>\n

<\/span><\/p>\n

\u53d6\u4f4e14\u4f4d<\/p>\n

<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

🔐 \u6821\u9a8c\u780114 bit<\/p>\n

<\/span><\/p>\n

🎲 \u65b0\u9c9c\u503c4 bit<\/p>\n

<\/span><\/p>\n

🔢 \u81ea\u589e\u5e8f\u5217\u53f732 bit<\/p>\n

<\/span><\/p>\n

📊 \u6309\u4f4d\u52a0\u6743\u6c42\u548c<\/p>\n

<\/span><\/p>\n

🔀 \u4e0e\u5927\u8d28\u6570\u5f02\u6216\u6df7\u6dc6<\/p>\n

<\/span><\/p>\n

📝 Base32 \u8f6c\u7801<\/p>\n

<\/span><\/p>\n

\u2705 \u6700\u7ec8\u5151\u6362\u780110\u4e2a\u5b57\u7b26<\/p>\n

<\/span><\/p>\n

\u8fd9\u5f20\u56fe\u8bf4\u7684\u662f\u5151\u6362\u7801\u7684\u751f\u6210\u6d41\u7a0b：\u81ea\u589e\u5e8f\u5217\u53f7（32 bit）\u524d\u9762\u62fc\u4e00\u4e2a\u65b0\u9c9c\u503c（4 bit），\u7ec4\u6210 36 bit \u7684\u8f7d\u8377\u3002\u7528\u65b0\u9c9c\u503c\u4ece 16 \u7ec4\u52a0\u6743\u6570\u7ec4\u4e2d\u9009\u4e00\u7ec4，\u5bf9\u8f7d\u8377\u6309\u4f4d\u52a0\u6743\u6c42\u548c，\u53d6\u4f4e 14 \u4f4d\u4f5c\u4e3a\u6821\u9a8c\u7801\u3002\u6700\u540e\u628a\u6821\u9a8c\u7801\u3001\u65b0\u9c9c\u503c\u3001\u5e8f\u5217\u53f7\u62fc\u6210 50 bit \u7684\u6570，\u4e0e\u5927\u8d28\u6570\u5f02\u6216\u6df7\u6dc6，\u518d\u7528 Base32 \u8f6c\u7801\u5f97\u5230 10 \u4f4d\u5151\u6362\u7801\u3002<\/p>\n

\u62c6\u5f00\u6765\u770b\u6bcf\u4e00\u6b65\u5728\u5e72\u4ec0\u4e48：<\/p>\n

1. \u81ea\u589e\u5e8f\u5217\u53f7：\u7528 Redis INCR \u751f\u6210<\/h4>\n

\/\/ Redis \u81ea\u589e\u5e8f\u5217\u53f7，\u4e00\u6b21\u6027\u589e\u52a0 totalNum \u4e2a<\/span>
\nLong<\/span> result =<\/span> serialOps.<\/span>increment<\/span>(<\/span>totalNum)<\/span>;<\/span>
\nint<\/span> maxSerialNum =<\/span> result.<\/span>intValue<\/span>(<\/span>)<\/span>;<\/span>
\n\/\/ \u7136\u540e\u4ece maxSerialNum – totalNum + 1 \u5230 maxSerialNum，\u9010\u4e2a\u751f\u6210\u5151\u6362\u7801<\/span>
\nfor<\/span> (<\/span>int<\/span> serialNum =<\/span> maxSerialNum –<\/span> totalNum +<\/span> 1<\/span>;<\/span> serialNum <=<\/span> maxSerialNum;<\/span> serialNum++<\/span>)<\/span> {<\/span>
\n String<\/span> code =<\/span> CodeUtil<\/span>.<\/span>generateCode<\/span>(<\/span>serialNum,<\/span> coupon.<\/span>getId<\/span>(<\/span>)<\/span>)<\/span>;<\/span>
\n \/\/ …<\/span>
\n}<\/span><\/p>\n

\u7528 Redis \u7684 INCRBY \u751f\u6210\u5168\u5c40\u81ea\u589e\u5e8f\u5217\u53f7，\u597d\u5904\u662f\u5373\u4f7f\u591a\u5b9e\u4f8b\u90e8\u7f72\u4e5f\u4e0d\u4f1a\u91cd\u590d\u3002<\/p>\n

2. \u65b0\u9c9c\u503c：\u8ba9\u540c\u4e00\u5f20\u5238\u7684\u5151\u6362\u7801\u6709\u5171\u540c\u6807\u8bb0<\/h4>\n

\u65b0\u9c9c\u503c\u53d6\u4f18\u60e0\u5238 ID \u7684\u4f4e 4 \u4f4d（0~15），\u4f5c\u7528\u662f：\u540c\u4e00\u5f20\u4f18\u60e0\u5238\u7684\u6240\u6709\u5151\u6362\u7801\u5171\u4eab\u4e00\u4e2a\u65b0\u9c9c\u503c，\u5728\u9a8c\u8bc1\u65f6\u53ef\u4ee5\u5feb\u901f\u5224\u65ad\u8fd9\u4e2a\u5151\u6362\u7801\u5c5e\u4e8e\u54ea\u5f20\u5238\u3002\u540c\u65f6，\u65b0\u9c9c\u503c\u51b3\u5b9a\u4e86\u7528\u54ea\u4e00\u7ec4\u52a0\u6743\u6570\u7ec4，\u589e\u52a0\u4e86\u7834\u89e3\u96be\u5ea6\u3002<\/p>\n

3. \u6309\u4f4d\u52a0\u6743\u7b7e\u540d：\u6838\u5fc3\u52a0\u5bc6\u903b\u8f91<\/h4>\n

private<\/span> static<\/span> long<\/span> calcCheckCode<\/span>(<\/span>long<\/span> payload,<\/span> int<\/span> fresh)<\/span> {<\/span>
\n int<\/span>[<\/span>]<\/span> table =<\/span> PRIME_TABLE<\/span>[<\/span>fresh]<\/span>;<\/span> \/\/ \u6839\u636e\u65b0\u9c9c\u503c\u9009\u4e00\u7ec4\u52a0\u6743\u6570\u7ec4<\/span>
\n long<\/span> sum =<\/span> 0<\/span>;<\/span>
\n int<\/span> index =<\/span> 0<\/span>;<\/span>
\n while<\/span> (<\/span>payload ><\/span> 0<\/span>)<\/span> {<\/span>
\n sum +=<\/span> (<\/span>payload &<\/span> 0xf<\/span>)<\/span> *<\/span> table[<\/span>index++<\/span>]<\/span>;<\/span> \/\/ \u6bcf4\u4f4d\u4e00\u7ec4，\u4e58\u52a0\u6743\u6570<\/span>
\n payload >>>=<\/span> 4<\/span>;<\/span> \/\/ \u53f3\u79fb4\u4f4d，\u53d6\u4e0b\u4e00\u7ec4<\/span>
\n }<\/span>
\n return<\/span> sum &<\/span> CHECK_CODE_MASK<\/span>;<\/span> \/\/ \u53d6\u4f4e14\u4f4d\u4f5c\u4e3a\u7b7e\u540d<\/span>
\n}<\/span><\/p>\n

\u628a\u8f7d\u8377\u6bcf 4 \u4f4d\u5207\u4e00\u5200，\u8f6c\u6210\u5341\u8fdb\u5236\u5c31\u662f 0~15 \u7684\u6570\u5b57\u3002\u6bcf\u4e2a\u6570\u5b57\u4e58\u4ee5\u5bf9\u5e94\u7684\u6743\u91cd，\u6700\u540e\u6c42\u548c\u3002\u8fd9\u4e2a\u52a0\u6743\u6570\u7ec4\u5c31\u662f"\u5bc6\u94a5"\u2014\u2014\u4e0d\u77e5\u9053\u5bc6\u94a5\u7684\u4eba，\u5c31\u7b97\u62ff\u5230\u4e86\u5151\u6362\u7801\u4e5f\u63a8\u7b97\u4e0d\u51fa\u5176\u4ed6\u5151\u6362\u7801\u3002<\/p>\n

\u51c6\u5907 16 \u7ec4\u4e0d\u540c\u7684\u52a0\u6743\u6570\u7ec4，\u65b0\u9c9c\u503c\u51b3\u5b9a\u7528\u54ea\u4e00\u7ec4\u3002\u8fd9\u6837\u5373\u4f7f\u6709\u4eba\u53d1\u73b0\u4e86\u4e00\u7ec4\u89c4\u5f8b，\u6362\u4e00\u5f20\u5238\u53c8\u662f\u4e0d\u4e00\u6837\u7684\u89c4\u5219\u3002<\/p>\n

4. \u5f02\u6216\u6df7\u6dc6：\u6700\u540e\u4e00\u9053\u9632\u7ebf<\/h4>\n

\/\/ payload \u4e0e\u5927\u8d28\u6570\u505a\u5f02\u6216\u8fd0\u7b97<\/span>
\npayload ^=<\/span> XOR_TABLE<\/span>[<\/span>(<\/span>int<\/span>)<\/span> (<\/span>checkCode &<\/span> 0b11111<\/span>)<\/span>]<\/span>;<\/span><\/p>\n

\u52a0\u6743\u7b7e\u540d\u4e4b\u540e，\u518d\u628a\u8f7d\u8377\u8ddf\u4e00\u4e2a\u5927\u8d28\u6570\u505a\u5f02\u6216\u3002\u5f02\u6216\u8fd0\u7b97\u662f\u53ef\u9006\u7684（A ^ B ^ B = A），\u6240\u4ee5\u9a8c\u8bc1\u65f6\u53ef\u4ee5\u8fd8\u539f\u3002\u4f46\u4e0d\u77e5\u9053\u5927\u8d28\u6570\u7684\u503c，\u770b\u5230\u7684\u7ed3\u679c\u5c31\u662f\u4e00\u5806\u6beb\u65e0\u89c4\u5f8b\u7684\u6570\u3002<\/p>\n

5. Base32 \u8f6c\u7801：\u628a\u6570\u5b57\u53d8\u6210\u5b57\u6bcd<\/h4>\n

50 bit \u7684\u4e8c\u8fdb\u5236\u6570 \u2192 \u6bcf 5 \u4f4d\u4e00\u7ec4 \u2192 10 \u7ec4 \u2192 \u6bcf\u7ec4\u5bf9\u5e94\u4e00\u4e2a 0~31 \u7684\u89d2\u6807 \u2192 \u67e5\u8868\u5f97\u5230\u5b57\u7b26<\/p>\n

\u5b57\u7b26\u8868\u662f ABCDEFGHJKLMNPQRSTUVWXYZ23456789（\u53bb\u6389\u4e86 I\u3001O \u907f\u514d\u548c 1\u30010 \u6df7\u6dc6），32 \u4e2a\u5b57\u7b26\u521a\u597d\u5bf9\u5e94 5 \u4f4d\u4e8c\u8fdb\u5236\u300250 bit \u5207\u6210 10 \u7ec4，\u6bcf\u7ec4 5 bit，\u67e5 10 \u6b21\u8868\u5c31\u5f97\u5230\u4e86 10 \u4f4d\u5151\u6362\u7801\u3002<\/p>\n

\u4e09\u3001\u9a8c\u8bc1\u5151\u6362\u7801：\u53cd\u5411\u62c6\u89e3 + \u7b7e\u540d\u6bd4\u5bf9<\/h3>\n

\u9a8c\u8bc1\u662f\u751f\u6210\u7684\u9006\u8fc7\u7a0b\u3002\u62ff\u5230\u4e00\u4e2a\u5151\u6362\u7801\u540e：<\/p>\n

public<\/span> static<\/span> long<\/span> parseCode<\/span>(<\/span>String<\/span> code)<\/span> {<\/span>
\n \/\/ 1.Base32 \u89e3\u7801，\u8fd8\u539f\u6210\u6570\u5b57<\/span>
\n long<\/span> num =<\/span> Base32<\/span>.<\/span>decode<\/span>(<\/span>code)<\/span>;<\/span>
\n \/\/ 2.\u53d6\u4f4e 36 \u4f4d\u5f97\u5230\u8f7d\u8377<\/span>
\n long<\/span> payload =<\/span> num &<\/span> PAYLOAD_MASK<\/span>;<\/span>
\n \/\/ 3.\u53d6\u9ad8 14 \u4f4d\u5f97\u5230\u6821\u9a8c\u7801<\/span>
\n int<\/span> checkCode =<\/span> (<\/span>int<\/span>)<\/span> (<\/span>num >>><\/span> CHECK_CODE_BIT_OFFSET<\/span>)<\/span>;<\/span>
\n \/\/ 4.\u7528\u6821\u9a8c\u7801\u7684\u4f4e 5 \u4f4d\u627e\u5230\u5bf9\u5e94\u7684\u5927\u8d28\u6570，\u5f02\u6216\u8fd8\u539f<\/span>
\n payload ^=<\/span> XOR_TABLE<\/span>[<\/span>(<\/span>checkCode &<\/span> 0b11111<\/span>)<\/span>]<\/span>;<\/span>
\n \/\/ 5.\u53d6\u8f7d\u8377\u7684\u9ad8 4 \u4f4d\u5f97\u5230\u65b0\u9c9c\u503c<\/span>
\n int<\/span> fresh =<\/span> (<\/span>int<\/span>)<\/span> (<\/span>payload >>><\/span> FRESH_BIT_OFFSET<\/span> &<\/span> FRESH_MASK<\/span>)<\/span>;<\/span>
\n \/\/ 6.\u91cd\u65b0\u8ba1\u7b97\u7b7e\u540d，\u4e0e\u539f\u59cb\u7b7e\u540d\u6bd4\u5bf9<\/span>
\n if<\/span> (<\/span>calcCheckCode<\/span>(<\/span>payload,<\/span> fresh)<\/span> !=<\/span> checkCode)<\/span> {<\/span>
\n throw<\/span> new<\/span> BadRequestException<\/span>(<\/span>"\u65e0\u6548\u5151\u6362\u7801"<\/span>)<\/span>;<\/span>
\n }<\/span>
\n \/\/ 7.\u9a8c\u8bc1\u901a\u8fc7，\u8fd4\u56de\u4f4e 32 \u4f4d\u7684\u81ea\u589e\u5e8f\u5217\u53f7<\/span>
\n return<\/span> payload &<\/span> SERIAL_NUM_MASK<\/span>;<\/span>
\n}<\/span><\/p>\n

\u5173\u952e\u5728\u7b2c\u516d\u6b65：\u7528\u540c\u6837\u7684\u7b97\u6cd5\u91cd\u65b0\u7b97\u4e00\u904d\u7b7e\u540d，\u8ddf\u5151\u6362\u7801\u91cc\u643a\u5e26\u7684\u7b7e\u540d\u6bd4\u5bf9\u3002\u4e00\u81f4\u8bf4\u660e\u5151\u6362\u7801\u6ca1\u88ab\u7be1\u6539，\u4e0d\u4e00\u81f4\u8bf4\u660e\u662f\u4f2a\u9020\u7684\u3002<\/p>\n

\u9a8c\u8bc1\u901a\u8fc7\u540e，\u62ff\u5230\u7684\u5c31\u662f\u81ea\u589e\u5e8f\u5217\u53f7\u3002\u7528\u8fd9\u4e2a\u5e8f\u5217\u53f7\u53bb Redis BitMap \u91cc\u67e5\u4e00\u4e0b\u5bf9\u5e94\u7684 bit \u4f4d\u662f 0 \u8fd8\u662f 1，\u5c31\u77e5\u9053\u6709\u6ca1\u6709\u88ab\u5151\u6362\u8fc7\u4e86\u3002\u6574\u4e2a\u9a8c\u8bc1\u8fc7\u7a0b\u4e0d\u67e5\u6570\u636e\u5e93，\u5168\u662f\u5185\u5b58\u8fd0\u7b97\u548c Redis \u4f4d\u8fd0\u7b97，\u6027\u80fd\u6781\u9ad8\u3002<\/p>\n

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\u5426<\/p>\n

<\/span><\/p>\n

\u662f<\/p>\n

<\/span><\/span><\/span><\/p>\n

\u662f<\/p>\n

<\/span><\/p>\n

\u5426<\/p>\n

<\/span><\/p>\n

📥 \u6536\u5230\u5151\u6362\u7801<\/p>\n

<\/span><\/p>\n

📝 Base32 \u89e3\u7801<\/p>\n

<\/span><\/p>\n

\u2702\ufe0f \u62c6\u5206：\u9ad814\u4f4d\u7b7e\u540d + \u4f4e36\u4f4d\u8f7d\u8377<\/p>\n

<\/span><\/p>\n

🔀 \u8f7d\u8377\u5f02\u6216\u5927\u8d28\u6570\u8fd8\u539f<\/p>\n

<\/span><\/p>\n

📊 \u91cd\u65b0\u8ba1\u7b97\u7b7e\u540d<\/p>\n

<\/span><\/p>\n

🔍 \u7b7e\u540d\u4e00\u81f4?<\/p>\n

<\/span><\/p>\n

\u274c \u65e0\u6548\u5151\u6362\u7801\u88ab\u7be1\u6539\u6216\u4f2a\u9020<\/p>\n

<\/span><\/p>\n

🔢 \u53d6\u51fa\u4f4e32\u4f4d\u81ea\u589e\u5e8f\u5217\u53f7<\/p>\n

<\/span><\/p>\n

💾 Redis BitMap\u68c0\u67e5\u5151\u6362\u72b6\u6001<\/p>\n

<\/span><\/p>\n

🔍 \u5df2\u5151\u6362?<\/p>\n

<\/span><\/p>\n

\u274c \u91cd\u590d\u5151\u6362<\/p>\n

<\/span><\/p>\n

\u2705 \u5151\u6362\u6210\u529fSETBIT \u6807\u8bb0\u4e3a1<\/p>\n

<\/span><\/p>\n

\u8fd9\u5f20\u56fe\u8bf4\u7684\u662f\u5b8c\u6574\u7684\u9a8c\u8bc1\u6d41\u7a0b：Base32 \u89e3\u7801 \u2192 \u62c6\u5206\u7b7e\u540d\u548c\u8f7d\u8377 \u2192 \u5f02\u6216\u8fd8\u539f \u2192 \u91cd\u7b97\u7b7e\u540d\u6bd4\u5bf9 \u2192 BitMap \u67e5\u5151\u6362\u72b6\u6001\u3002\u5168\u7a0b\u4e0d\u78b0\u6570\u636e\u5e93\u3002<\/p>\n

\u56db\u3001\u7ebf\u7a0b\u6c60\u5f02\u6b65\u751f\u6210：\u4e0d\u8ba9\u7528\u6237\u7b49<\/h3>\n

\u5151\u6362\u7801\u751f\u6210\u7b97\u6cd5\u867d\u7136\u9ad8\u6548，\u4f46\u5982\u679c\u4e00\u5f20\u5238\u8981\u53d1 5000 \u4e2a\u7801，\u5728\u53d1\u653e\u63a5\u53e3\u91cc\u540c\u6b65\u751f\u6210\u8fd8\u662f\u4f1a\u8ba9\u7528\u6237\u7b49\u597d\u51e0\u79d2\u3002\u6240\u4ee5\u9879\u76ee\u91cc\u7528\u7ebf\u7a0b\u6c60\u5f02\u6b65\u5904\u7406：<\/p>\n

@Bean<\/span>
\npublic<\/span> Executor<\/span> generateExchangeCodeExecutor<\/span>(<\/span>)<\/span> {<\/span>
\n ThreadPoolTaskExecutor<\/span> executor =<\/span> new<\/span> ThreadPoolTaskExecutor<\/span>(<\/span>)<\/span>;<\/span>
\n executor.<\/span>setCorePoolSize<\/span>(<\/span>2<\/span>)<\/span>;<\/span> \/\/ \u6838\u5fc3\u7ebf\u7a0b 2<\/span>
\n executor.<\/span>setMaxPoolSize<\/span>(<\/span>5<\/span>)<\/span>;<\/span> \/\/ \u6700\u5927\u7ebf\u7a0b 5<\/span>
\n executor.<\/span>setQueueCapacity<\/span>(<\/span>200<\/span>)<\/span>;<\/span> \/\/ \u961f\u5217 200<\/span>
\n executor.<\/span>setThreadNamePrefix<\/span>(<\/span>"exchange-code-handler-"<\/span>)<\/span>;<\/span>
\n \/\/ \u62d2\u7edd\u7b56\u7565：CallerRunsPolicy（\u4ea4\u7ed9\u8c03\u7528\u7ebf\u7a0b\u5904\u7406）<\/span>
\n executor.<\/span>setRejectedExecutionHandler<\/span>(<\/span>new<\/span> ThreadPoolExecutor.<\/span>CallerRunsPolicy<\/span>(<\/span>)<\/span>)<\/span>;<\/span>
\n executor.<\/span>initialize<\/span>(<\/span>)<\/span>;<\/span>
\n return<\/span> executor;<\/span>
\n}<\/span><\/p>\n

\u53c2\u6570\u9009\u62e9\u7684\u601d\u8def：\u53d1\u653e\u4f18\u60e0\u5238\u4e0d\u662f\u9ad8\u9891\u64cd\u4f5c，\u7ebf\u7a0b\u6c60\u7684\u76ee\u7684\u7eaf\u7cb9\u662f"\u4e0d\u8ba9\u7528\u6237\u7b49"，\u4e0d\u662f\u4e3a\u4e86\u625b\u5e76\u53d1\u3002\u6240\u4ee5\u6838\u5fc3\u7ebf\u7a0b\u53ea\u8bbe\u4e86 2，\u6700\u5927\u7ebf\u7a0b 5\u3002\u961f\u5217 200 \u8db3\u591f\u7f13\u51b2\u3002\u62d2\u7edd\u7b56\u7565\u7528 CallerRunsPolicy\u2014\u2014\u4e07\u4e00\u771f\u7684\u6ee1\u4e86，\u5c31\u8ba9\u8c03\u7528\u7ebf\u7a0b\u81ea\u5df1\u5e72，\u7528\u6237\u7a0d\u5fae\u7b49\u4e00\u4e0b，\u603b\u6bd4\u4e22\u4efb\u52a1\u5f3a\u3002<\/p>\n

@Async<\/span>(<\/span>"generateExchangeCodeExecutor"<\/span>)<\/span>
\npublic<\/span> void<\/span> asyncGenerateCode<\/span>(<\/span>Coupon<\/span> coupon)<\/span> {<\/span>
\n Long<\/span> result =<\/span> serialOps.<\/span>increment<\/span>(<\/span>coupon.<\/span>getTotalNum<\/span>(<\/span>)<\/span>)<\/span>;<\/span>
\n int<\/span> maxSerialNum =<\/span> result.<\/span>intValue<\/span>(<\/span>)<\/span>;<\/span>
\n List<\/span><<\/span>ExchangeCode<\/span>><\/span><\/span> list =<\/span> new<\/span> ArrayList<\/span><<\/span>><\/span><\/span>(<\/span>coupon.<\/span>getTotalNum<\/span>(<\/span>)<\/span>)<\/span>;<\/span>
\n for<\/span> (<\/span>int<\/span> serialNum =<\/span> maxSerialNum –<\/span> coupon.<\/span>getTotalNum<\/span>(<\/span>)<\/span> +<\/span> 1<\/span>;<\/span>
\n serialNum <=<\/span> maxSerialNum;<\/span> serialNum++<\/span>)<\/span> {<\/span>
\n String<\/span> code =<\/span> CodeUtil<\/span>.<\/span>generateCode<\/span>(<\/span>serialNum,<\/span> coupon.<\/span>getId<\/span>(<\/span>)<\/span>)<\/span>;<\/span>
\n \/\/ … \u6784\u5efa\u5151\u6362\u7801\u5bf9\u8c61<\/span>
\n }<\/span>
\n saveBatch<\/span>(<\/span>list)<\/span>;<\/span> \/\/ \u6279\u91cf\u4fdd\u5b58\u6570\u636e\u5e93<\/span>
\n}<\/span><\/p>\n

\u53d1\u653e\u63a5\u53e3\u8c03\u7528\u5b8c\u7acb\u523b\u8fd4\u56de，\u5151\u6362\u7801\u5728\u540e\u53f0\u7ebf\u7a0b\u6c60\u91cc\u6162\u6162\u751f\u6210\u3002\u7528\u6237\u4e0d\u4f1a\u611f\u53d7\u5230\u4efb\u4f55\u5ef6\u8fdf\u3002<\/p>\n

\u4e94\u3001\u4f18\u60e0\u5238\u72b6\u6001\u673a：\u4e94\u4e2a\u72b6\u6001\u516d\u79cd\u8f6c\u6362<\/h3>\n

\u4f18\u60e0\u5238\u7684\u751f\u547d\u5468\u671f\u6bd4\u60f3\u8c61\u4e2d\u590d\u6742\u3002\u5b83\u6709\u4e94\u4e2a\u72b6\u6001，\u72b6\u6001\u4e4b\u95f4\u7684\u8f6c\u6362\u6709\u4e25\u683c\u7684\u89c4\u5219：<\/p>\n

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.statediagram-note .nodeLabel{color:black;}#mermaid-svg-ph89BZjBH68MdbYz .statediagram .edgeLabel{color:red;}#mermaid-svg-ph89BZjBH68MdbYz #dependencyStart,#mermaid-svg-ph89BZjBH68MdbYz #dependencyEnd{fill:#333333;stroke:#333333;stroke-width:1;}#mermaid-svg-ph89BZjBH68MdbYz .statediagramTitleText{text-anchor:middle;font-size:18px;fill:#333;}#mermaid-svg-ph89BZjBH68MdbYz :root{–mermaid-font-family:\\”trebuchet ms\\”,verdana,arial,sans-serif;}<\/p>\n

\u65b0\u589e\u4f18\u60e0\u5238<\/p>\n

<\/span><\/p>\n

\u7acb\u523b\u53d1\u653e<\/p>\n

<\/span><\/p>\n

\u5b9a\u65f6\u53d1\u653e<\/p>\n

<\/span><\/p>\n

\u5b9a\u65f6\u4efb\u52a1\u89e6\u53d1<\/p>\n

<\/span><\/p>\n

\u624b\u52a8\u6682\u505c<\/p>\n

<\/span><\/p>\n

\u91cd\u65b0\u53d1\u653e<\/p>\n

<\/span><\/p>\n

\u8fc7\u671f\/\u624b\u52a8\u7ed3\u675f<\/p>\n

<\/span><\/p>\n

\u8fc7\u671f<\/p>\n

<\/span><\/p>\n

\u5f85\u53d1\u653e<\/p>\n

<\/span><\/p>\n

\u8fdb\u884c\u4e2d<\/p>\n

<\/span><\/p>\n

\u672a\u5f00\u59cb<\/p>\n

<\/span><\/p>\n

\u6682\u505c<\/p>\n

<\/span><\/p>\n

\u5df2\u7ed3\u675f<\/p>\n

<\/span><\/p>\n

\u8fd9\u5f20\u56fe\u8bf4\u7684\u662f\u4f18\u60e0\u5238\u7684\u5b8c\u6574\u751f\u547d\u5468\u671f\u3002\u6ce8\u610f\u51e0\u4e2a\u5173\u952e\u7ea6\u675f：\u53ea\u6709"\u5f85\u53d1\u653e"\u548c"\u6682\u505c"\u72b6\u6001\u7684\u5238\u53ef\u4ee5\u88ab\u53d1\u653e；\u53ea\u6709"\u8fdb\u884c\u4e2d"\u7684\u5238\u53ef\u4ee5\u88ab\u6682\u505c；"\u5df2\u7ed3\u675f"\u662f\u7ec8\u6001，\u4e0d\u53ef\u9006\u8f6c\u3002<\/p>\n

\u9879\u76ee\u91cc\u7528\u679a\u4e3e\u7ba1\u7406\u72b6\u6001，\u5728\u53d1\u653e\u63a5\u53e3\u91cc\u505a\u524d\u7f6e\u6821\u9a8c：<\/p>\n

if<\/span> (<\/span>coupon.<\/span>getStatus<\/span>(<\/span>)<\/span> !=<\/span> CouponStatus<\/span>.<\/span>DRAFT<\/span> &&<\/span> coupon.<\/span>getStatus<\/span>(<\/span>)<\/span> !=<\/span> PAUSE<\/span>)<\/span> {<\/span>
\n throw<\/span> new<\/span> BizIllegalException<\/span>(<\/span>"\u4f18\u60e0\u5238\u72b6\u6001\u9519\u8bef！"<\/span>)<\/span>;<\/span>
\n}<\/span><\/p>\n

\u8fd8\u6709\u4e00\u4e2a\u5bb9\u6613\u5ffd\u7565\u7684\u7ec6\u8282：\u5151\u6362\u7801\u53ea\u5728"\u9996\u6b21\u53d1\u653e"\u65f6\u751f\u6210，\u6682\u505c\u540e\u518d\u53d1\u653e\u4e0d\u80fd\u91cd\u590d\u751f\u6210\u3002\u6240\u4ee5\u4ee3\u7801\u91cc\u540c\u65f6\u5224\u65ad\u4e86\u9886\u53d6\u65b9\u5f0f\u548c\u524d\u7f6e\u72b6\u6001：<\/p>\n

if<\/span> (<\/span>coupon.<\/span>getObtainWay<\/span>(<\/span>)<\/span> ==<\/span> ObtainType<\/span>.<\/span>ISSUE<\/span> &&<\/span> coupon.<\/span>getStatus<\/span>(<\/span>)<\/span> ==<\/span> CouponStatus<\/span>.<\/span>DRAFT<\/span>)<\/span> {<\/span>
\n codeService.<\/span>asyncGenerateCode<\/span>(<\/span>coupon)<\/span>;<\/span>
\n}<\/span><\/p>\n

\u516d\u3001\u9762\u8bd5\u600e\u4e48\u8bf4<\/h3>\n

\u9762\u8bd5\u5b98\u95ee"\u5151\u6362\u7801\u600e\u4e48\u8bbe\u8ba1\u7684"，\u5efa\u8bae\u6309\u8fd9\u4e2a\u8282\u594f\u8bb2：\u5148\u8bf4\u9700\u6c42（\u552f\u4e00\u3001\u53ef\u8bfb\u3001\u9632\u5237\u3001\u9ad8\u6548\u3001\u9632\u91cd\u5151），\u518d\u8bf4\u4e3a\u4ec0\u4e48\u4e0d\u7528 UUID \u548c\u96ea\u82b1（\u4f4d\u6570\u592a\u957f），\u7136\u540e\u5f15\u51fa"\u81ea\u589e ID + Base32 + \u52a0\u6743\u7b7e\u540d + \u5f02\u6216\u6df7\u6dc6"\u7684\u65b9\u6848\u3002<\/p>\n

\u91cd\u70b9\u8bb2\u4e09\u4e2a\u52a0\u5206\u9879：\u4e00\u662f\u501f\u9274 JWT \u7684\u9a8c\u7b7e\u601d\u60f3（\u8f7d\u8377 + \u7b7e\u540d + \u5bc6\u94a5），\u4e8c\u662f\u7528 Redis BitMap \u505a\u9632\u91cd\u5151（\u4e0d\u67e5\u6570\u636e\u5e93，O(1) \u9a8c\u8bc1），\u4e09\u662f\u7ebf\u7a0b\u6c60\u5f02\u6b65\u751f\u6210（\u4e0d\u8ba9\u7528\u6237\u7b49）\u3002<\/p>\n

\u9762\u8bd5\u5b98\u5982\u679c\u8ffd\u95ee\u7ebf\u7a0b\u6c60\u53c2\u6570\u600e\u4e48\u8bbe\u7684，\u5c31\u8bf4：\u53d1\u653e\u4e0d\u662f\u9ad8\u9891\u64cd\u4f5c，\u7ebf\u7a0b\u6c60\u7684\u76ee\u7684\u662f\u51cf\u5c11\u4e1a\u52a1\u8017\u65f6\u800c\u4e0d\u662f\u625b\u5e76\u53d1，\u6240\u4ee5\u6838\u5fc3\u7ebf\u7a0b\u8bbe 2\u3001\u6700\u5927\u7ebf\u7a0b 5\u3001\u961f\u5217 200\u3002\u62d2\u7edd\u7b56\u7565\u7528 CallerRunsPolicy，\u5b81\u53ef\u8ba9\u8c03\u7528\u7ebf\u7a0b\u6162\u4e00\u70b9\u4e5f\u4e0d\u4e22\u4efb\u52a1\u3002<\/p>\n

\u4e03\u3001\u8fd9\u5468\u7684\u6574\u4f53\u611f\u53d7<\/h3>\n

\u505a\u5b8c\u5151\u6362\u7801\u7b97\u6cd5，\u6700\u5927\u7684\u611f\u53d7\u662f：\u771f\u6b63\u6709\u4ef7\u503c\u7684\u8bbe\u8ba1\u4e0d\u662f"\u4f1a\u7528\u67d0\u4e2a\u6846\u67b6"，\u800c\u662f\u80fd\u6839\u636e\u5177\u4f53\u9700\u6c42\u628a\u57fa\u7840\u77e5\u8bc6\u7ec4\u5408\u8d77\u6765\u89e3\u51b3\u95ee\u9898\u3002\u81ea\u589e ID\u3001Base32 \u8f6c\u7801\u3001\u6309\u4f4d\u52a0\u6743\u3001\u5f02\u6216\u8fd0\u7b97\u3001BitMap\u2014\u2014\u8fd9\u4e9b\u4e1c\u897f\u5355\u72ec\u62ff\u51fa\u6765\u90fd\u662f\u8bfe\u672c\u4e0a\u7684\u57fa\u7840\u77e5\u8bc6，\u4f46\u7ec4\u5408\u5728\u4e00\u8d77\u5c31\u53d8\u6210\u4e86\u4e00\u4e2a\u80fd\u6ee1\u8db3\u4e94\u4e2a\u9700\u6c42\u7684\u5151\u6362\u7801\u65b9\u6848\u3002<\/p>\n

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