{"id":112703,"date":"2026-10-04T15:25:30","date_gmt":"2026-10-04T07:25:30","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/112703.html"},"modified":"2026-10-04T15:25:30","modified_gmt":"2026-10-04T07:25:30","slug":"%e7%94%a8%e5%8d%8e%e4%b8%ba%e4%ba%91%e7%a0%81%e9%81%93-codearts-%e4%bb%a3%e7%a0%81%e6%99%ba%e8%83%bd%e4%bd%93%e5%81%9a%e4%b8%80%e4%b8%aa%e4%bc%9a%e7%ae%97%e9%a2%98%e7%9a%84%e7%83%9f%e8%8a%b1%ef%bc%9a","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/112703.html","title":{"rendered":"\u7528\u534e\u4e3a\u4e91\u7801\u9053 CodeArts \u4ee3\u7801\u667a\u80fd\u4f53\u505a\u4e00\u4e2a\u4f1a\u7b97\u9898\u7684\u70df\u82b1\uff1a\u70b9\u706b\u524d\u6211\u7b97\u51fa\u6700\u9ad8\u70b9 214.3m\u3001\u6ede\u7a7a 12.0s\uff0c\u79ef\u5206\u5b9e\u6d4b\u8bef\u5dee 0.24%"},"content":{"rendered":"<h2>\u4f1a\u7b97\u9898\u7684\u70df\u82b1&#xff1a;\u70b9\u706b\u524d\u6211\u7b97\u51fa\u6700\u9ad8\u70b9 214.3m\u3001\u6ede\u7a7a 12.0s&#xff0c;\u79ef\u5206\u5b9e\u6d4b\u8bef\u5dee 0.24%<\/h2>\n<p>**\u4e00\u952e\u5f00\u901a\u534e\u4e3a\u4e91\u7801\u9053 CodeArts \u4ee3\u7801\u667a\u80fd\u4f53&#xff1a; **https:\/\/developer.huaweicloud.com\/codeartsco.html?source&#061;dmzntgwatomgit1&amp;sourcead&#061;dmzntgwatomgithd<\/p>\n<h3>\u4f5c\u54c1\u4ecb\u7ecd<\/h3>\n<p>\u300c\u4f1a\u7b97\u9898\u7684\u70df\u82b1\u300d\u662f\u4e00\u4e2a\u7eaf\u524d\u7aef\u7f51\u9875&#xff1a;\u591c\u7a7a\u91cc\u6bcf\u653e\u4e00\u53d1\u70df\u82b1&#xff0c;\u5728\u70b9\u706b\u4e4b\u524d&#xff0c;\u5b83\u5148\u7528\u629b\u4f53\u516c\u5f0f\u628a\u8fd9\u4e00\u53d1\u7684\u6700\u9ad8\u70b9\u3001\u6ede\u7a7a\u3001\u843d\u70b9\u7b97\u51fa\u6765&#xff1b;\u70b8\u5b8c\u4e4b\u540e&#xff0c;\u518d\u7528\u6570\u503c\u79ef\u5206\u628a\u5b9e\u9645\u98de\u51fa\u6765\u7684\u8f68\u8ff9\u6d4b\u4e00\u904d&#xff0c;\u4e24\u4e2a\u6570\u6446\u5728\u4e00\u8d77\u5bf9\u7b54\u6848\u3002\u8bef\u5dee\u8868\u5e38\u5e74\u6302\u5728\u7b2c\u4e00\u5c4f&#xff0c;\u6700\u9ad8\u70b9\u8bef\u5dee 0.2% 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\u7b97\u51fa\u6700\u9ad8\u70b9&#xff0c;\u70b8\u5b8c\u7528\u79ef\u5206\u8dd1\u51fa\u5b9e\u6d4b\u503c&#xff0c;\u8bef\u5dee\u6446\u51fa\u6765\u7ed9\u4eba\u770b\u3002\u8fd9\u4e48\u4e00\u6765&#xff0c;\u8bc4\u59d4\u7684\u5224\u65ad\u9898&#xff08;\u597d\u4e0d\u597d\u770b&#xff09;\u5c31\u88ab\u6211\u6362\u6210\u4e86\u5ba2\u89c2\u9898&#xff08;\u51c6\u4e0d\u51c6&#xff09;\u2014\u2014\u8fd9\u5200&#xff0c;\u662f\u6211\u6574\u4e2a\u9879\u76ee\u6700\u60f3\u5207\u4e0b\u53bb\u7684\u5730\u65b9\u3002<\/p>\n<h3>\u4e8c\u3001\u5148\u8dd1\u8d77\u6765\u770b<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072525-6ac1ff6521ab2.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u6253\u5f00\u7f51\u9875&#xff0c;\u7b2c\u4e00\u5c4f\u4e0d\u662f\u591c\u7a7a&#xff0c;\u662f\u8fd9\u5f20\u8868&#xff1a;\u6bcf\u53d1\u70df\u82b1\u4e00\u884c&#xff0c;\u5217\u51fa\u9884\u6d4b\u6700\u9ad8\u70b9 \/ \u5b9e\u6d4b\u6700\u9ad8\u70b9 \/ \u8bef\u5dee \/ \u9884\u6d4b\u6ede\u7a7a \/ \u5b9e\u6d4b\u6ede\u7a7a \/ \u8bef\u5dee\u3002\u4f60\u4f1a\u770b\u5230\u8bef\u5dee\u5e38\u5e74\u8db4\u5728 0.2%~0.26%&#xff08;\u6ede\u7a7a 0.04%~0.13%&#xff09;\u3002\u8868\u4e0b\u9762\u4e00\u884c\u5c0f\u5b57\u5199\u660e\u300c\u540c\u6a21\u578b drag&#061;0 \u5bf9\u62cd \u00b7 \u8bef\u5dee&#061;\u79ef\u5206\u8bef\u5dee\u300d\u2014\u2014\u8fd9\u53e5\u5f88\u5173\u952e&#xff0c;\u7b2c\u516d\u8282\u89e3\u91ca\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072525-6ac1ff6584aa7.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072525-6ac1ff65cf88d.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u70df\u82b1\u672c\u8eab\u4e5f\u597d\u770b&#xff1a;\u56fd\u5e86\u7ea2\u548c\u9999\u69df\u91d1\u7684\u7c92\u5b50&#xff0c;\u70b8\u5f00\u662f\u4e00\u4e2a\u4e2a\u4eae\u70b9\u6269\u6563\u7684\u73af&#xff0c;\u5e26\u91cd\u529b &#043; \u7a7a\u6c14\u963b\u529b\u5f80\u4e0b\u5760\u3001\u62d6\u7740\u8870\u51cf\u7684\u5c3e\u7130\u3002\u80fd\u70b9\u753b\u5e03\u53d1\u5c04\u3001\u80fd\u81ea\u52a8\u8fde\u653e\u3001\u80fd\u4e00\u952e\u6e05\u7a7a\u3002<\/p>\n<h3>\u4e09\u3001\u63d0\u793a\u8bcd&#xff1a;\u628a\u300c\u53ef\u9a8c\u8bc1\u300d\u9489\u6b7b\u5230\u51fd\u6570\u7ea7<\/h3>\n<p>\u6211\u6ca1\u8ddf\u7801\u9053\u8bf4\u300c\u505a\u4e2a\u70df\u82b1\u7279\u6548\u300d&#xff0c;\u90a3\u79cd\u4e00\u53e5\u8bdd\u9700\u6c42\u51fa\u6765\u7684\u5fc5\u7136\u662f\u968f\u673a\u7c92\u5b50\u3002\u6211\u4e00\u5f00\u59cb\u5c31\u628a\u9700\u6c42\u9489\u5230\u51fd\u6570\u7b7e\u540d\u548c\u5224\u636e&#xff1a;<\/p>\n<p>predictor.js&#xff1a;\u53ea\u7528\u95ed\u5f0f\u89e3\u7b97 h&#061;v0\u00b2sin\u00b2\u03b8\/2g\u3001T&#061;2v0sin\u03b8\/g\u3001R&#061;v0\u00b2sin2\u03b8\/g\u3002<br \/>\nverifier.js&#xff1a;\u7528 stepShell \u6570\u503c\u79ef\u5206&#xff08;\u534a\u9690\u5f0f\u6b27\u62c9 &#043; \u4e8c\u6b21\u963b\u529b&#xff09;\u8dd1\u51fa\u5b9e\u6d4b h\/T\/R\u3002<br \/>\n\u4e24\u8005\u5fc5\u987b\u72ec\u7acb\u5b9e\u73b0&#xff0c;\u4e0d\u5f97\u4e92\u76f8\u8c03\u7528&#xff1b;\u8bef\u5dee\u8868\u6bd4\u7684\u662f\u300c\u95ed\u5f0f vs \u79ef\u5206\u300d&#xff0c;\u4e0d\u662f\u516c\u5f0f\u5bf9\u516c\u5f0f\u3002<br \/>\nphysics\/render\/app \u5206\u5c42&#xff0c;\u7eaf\u51fd\u6570\u4e0d fetch\u3001\u4e0d\u8bfb\u65f6\u949f\u3001\u4e0d\u7528 Math.random&#xff0c;dt\/seed \u4f5c\u53c2\u6570\u3002<\/p>\n<p>\u8fd9\u6761\u300c\u4e24\u8005\u72ec\u7acb\u5b9e\u73b0\u300d\u662f\u547d\u95e8\u3002\u540e\u6765\u4e09\u8f6e\u4e13\u5bb6\u8bc4\u5ba1\u91cc&#xff0c;\u6280\u672f\u4e13\u5bb6\u4e13\u95e8\u76ef\u7740\u5b83\u95ee&#xff1a;\u5982\u679c predictor \u548c verifier \u5171\u7528\u540c\u4e00\u5957\u79ef\u5206\u5668&#xff0c;\u8bef\u5dee\u5c0f\u662f\u6570\u5b66\u5fc5\u7136&#xff0c;\u90a3\u53ea\u80fd\u8bc1\u660e\u6570\u503c\u7a33\u5b9a&#xff0c;\u8bc1\u660e\u4e0d\u4e86\u7269\u7406\u5bf9\u3002\u8fd9\u5c31\u662f\u5dee\u70b9\u8ba9\u6211\u7ffb\u8f66\u7684\u81ea\u8bc1\u5faa\u73af&#xff0c;\u7b2c\u4e03\u8282\u7ec6\u8bf4\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072526-6ac1ff662411c.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>\u56db\u3001\u67b6\u6784&#xff1a;\u628a\u300c\u9884\u8a00\u300d\u548c\u300c\u9a8c\u8bc1\u300d\u62c6\u6210\u4e24\u4e2a\u72ec\u7acb\u6a21\u5757<\/h3>\n<p>src\/<br \/>\n  predictor.js   \u95ed\u5f0f\u89e3\u6790\u89e3\u9884\u8a00\u5668&#xff08;\u53ea\u7528\u516c\u5f0f&#xff0c;\u4e0d\u78b0\u79ef\u5206&#xff09;<br \/>\n  verifier.js    \u6570\u503c\u79ef\u5206\u5b9e\u6d4b\u5668&#xff08;\u7528 stepShell \u79ef\u5206\u8dd1\u8f68\u8ff9&#xff09;<br \/>\n  physics.js     \u629b\u4f53 &#043; \u7206\u70b8&#xff1a;launchShell \/ stepShell \/ burst \/ stepParticle&#xff08;\u7eaf\u51fd\u6570&#xff09;<br \/>\n  rng.js         \u53ef\u6ce8\u5165\u7684\u786e\u5b9a\u6027\u968f\u673a&#xff08;mulberry32&#xff0c;seed \u4f5c\u53c2\u6570&#xff09;<br \/>\n  render.js      \u591c\u7a7a \/ \u5f39\u9053 \/ \u70b8\u5f00\u7c92\u5b50 \/ \u89e3\u6790\u53e0\u52a0\u865a\u7ebf<br \/>\n  app.js         \u72b6\u6001\u673a &#043; \u4e3b\u5faa\u73af &#043; \u8bef\u5dee\u8868 &#043; HUD<br \/>\ntest\/            29 \u9879&#xff1a;\u89e3\u6790\u5bf9\u6807 \/ \u79ef\u5206\u6536\u655b \/ \u786e\u5b9a\u6027\u91cd\u653e \/ \u9010\u5e27\u54c8\u5e0c\u6f02\u79fb \/ \u5b89\u5168\u7ea2\u7ebf<br \/>\ntools\/           evidence.cjs&#xff08;\u8054\u7f51\u53d6\u8bc1&#xff09;\/ serve.cjs&#xff08;\u96f6\u4f9d\u8d56\u9884\u89c8&#xff09;<\/p>\n<p>\u4f9d\u8d56\u5355\u5411&#xff1a;app \u2192 {render, predictor, verifier, physics} \u2192 rng\u3002predictor \u548c verifier \u662f\u4e24\u6761\u72ec\u7acb\u7684\u8def\u901a\u5f80\u540c\u4e00\u4e2a\u7b54\u6848\u2014\u2014\u4e00\u4e2a\u8d70\u516c\u5f0f&#xff0c;\u4e00\u4e2a\u8d70\u79ef\u5206&#xff0c;\u5b83\u4fe9\u5bf9\u5f97\u4e0a&#xff0c;\u624d\u53eb\u771f\u9a8c\u8bc1\u3002<\/p>\n<h3>\u4e94\u3001\u6838\u5fc3\u7b97\u6cd5&#xff1a;\u534a\u9690\u5f0f\u6b27\u62c9 &#043; \u4e8c\u6b21\u963b\u529b<\/h3>\n<p>\u4e0a\u5347\u9636\u6bb5\u7528\u534a\u9690\u5f0f\u6b27\u62c9\u79ef\u5206&#xff0c;\u7a7a\u6c14\u963b\u529b\u53d6\u4e8c\u6b21\u6a21\u578b a &#061; -k\u00b7v\u00b7|v|&#xff1a;<\/p>\n<p><span class=\"token keyword\">export<\/span> <span class=\"token keyword\">function<\/span> <span class=\"token function\">stepShell<\/span><span class=\"token punctuation\">(<\/span><span class=\"token parameter\">shell<span class=\"token punctuation\">,<\/span> dt<span class=\"token punctuation\">,<\/span> drag<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n  <span class=\"token keyword\">const<\/span> speed <span class=\"token operator\">&#061;<\/span> Math<span class=\"token punctuation\">.<\/span><span class=\"token function\">hypot<\/span><span class=\"token punctuation\">(<\/span>shell<span class=\"token punctuation\">.<\/span>vx<span class=\"token punctuation\">,<\/span> shell<span class=\"token punctuation\">.<\/span>vy<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token keyword\">const<\/span> ax <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span>drag <span class=\"token operator\">*<\/span> shell<span class=\"token punctuation\">.<\/span>vx <span class=\"token operator\">*<\/span> speed<span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token keyword\">const<\/span> ay <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span>shell<span class=\"token punctuation\">.<\/span>g <span class=\"token operator\">&#8211;<\/span> drag <span class=\"token operator\">*<\/span> shell<span class=\"token punctuation\">.<\/span>vy <span class=\"token operator\">*<\/span> speed<span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token keyword\">const<\/span> vx1 <span class=\"token operator\">&#061;<\/span> shell<span class=\"token punctuation\">.<\/span>vx <span class=\"token operator\">&#043;<\/span> ax <span class=\"token operator\">*<\/span> dt<span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token keyword\">const<\/span> vy1 <span class=\"token operator\">&#061;<\/span> shell<span class=\"token punctuation\">.<\/span>vy <span class=\"token operator\">&#043;<\/span> ay <span class=\"token operator\">*<\/span> dt<span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token literal-property property\">x<\/span><span class=\"token operator\">:<\/span> shell<span class=\"token punctuation\">.<\/span>x <span class=\"token operator\">&#043;<\/span> vx1 <span class=\"token operator\">*<\/span> dt<span class=\"token punctuation\">,<\/span> <span class=\"token literal-property property\">y<\/span><span class=\"token operator\">:<\/span> shell<span class=\"token punctuation\">.<\/span>y <span class=\"token operator\">&#043;<\/span> vy1 <span class=\"token operator\">*<\/span> dt<span class=\"token punctuation\">,<\/span><br \/>\n           <span class=\"token literal-property property\">vx<\/span><span class=\"token operator\">:<\/span> vx1<span class=\"token punctuation\">,<\/span> <span class=\"token literal-property property\">vy<\/span><span class=\"token operator\">:<\/span> vy1<span class=\"token punctuation\">,<\/span> <span class=\"token literal-property property\">g<\/span><span class=\"token operator\">:<\/span> shell<span class=\"token punctuation\">.<\/span>g<span class=\"token punctuation\">,<\/span> <span class=\"token literal-property property\">t<\/span><span class=\"token operator\">:<\/span> shell<span class=\"token punctuation\">.<\/span>t <span class=\"token operator\">&#043;<\/span> dt<span class=\"token punctuation\">,<\/span> <span class=\"token literal-property property\">alive<\/span><span class=\"token operator\">:<\/span> shell<span class=\"token punctuation\">.<\/span>alive <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u9884\u8a00\u5668\u5219\u5b8c\u5168\u4e0d\u8d70\u8fd9\u6761\u8def&#xff0c;\u76f4\u63a5\u5957\u95ed\u5f0f\u89e3&#xff1a;<\/p>\n<p><span class=\"token keyword\">export<\/span> <span class=\"token keyword\">function<\/span> <span class=\"token function\">predict<\/span><span class=\"token punctuation\">(<\/span><span class=\"token parameter\">v0<span class=\"token punctuation\">,<\/span> angleDeg<span class=\"token punctuation\">,<\/span> g <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">9.8<\/span><\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n  <span class=\"token keyword\">const<\/span> s <span class=\"token operator\">&#061;<\/span> Math<span class=\"token punctuation\">.<\/span><span class=\"token function\">sin<\/span><span class=\"token punctuation\">(<\/span>angleDeg <span class=\"token operator\">*<\/span> Math<span class=\"token punctuation\">.<\/span><span class=\"token constant\">PI<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">180<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n  <span class=\"token keyword\">const<\/span> h <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>v0 <span class=\"token operator\">*<\/span> v0 <span class=\"token operator\">*<\/span> s <span class=\"token operator\">*<\/span> s<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> g<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>      <span class=\"token comment\">\/\/ \u6700\u9ad8\u70b9<\/span><br \/>\n  <span class=\"token keyword\">const<\/span> <span class=\"token constant\">T<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> v0 <span class=\"token operator\">*<\/span> s<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> g<span class=\"token punctuation\">;<\/span>                 <span class=\"token comment\">\/\/ \u6ede\u7a7a<\/span><br \/>\n  <span class=\"token keyword\">const<\/span> <span class=\"token constant\">R<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>v0 <span class=\"token operator\">*<\/span> v0 <span class=\"token operator\">*<\/span> Math<span class=\"token punctuation\">.<\/span><span class=\"token function\">sin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> angleDeg <span class=\"token operator\">*<\/span> Math<span class=\"token punctuation\">.<\/span><span class=\"token constant\">PI<\/span> <span class=\"token operator\">\/<\/span> <span class=\"token number\">180<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> g<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5c04\u7a0b<\/span><br \/>\n  <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span> h<span class=\"token punctuation\">,<\/span> <span class=\"token constant\">T<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token constant\">R<\/span> <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u4e24\u6761\u72ec\u7acb\u5b9e\u73b0&#xff0c;\u4e00\u4e2a dt&#061;0.016 \u79ef\u5206\u3001\u4e00\u4e2a\u5957\u516c\u5f0f&#xff0c;v0&#061;60\u3001\u03b8&#061;75\u00b0 \u65f6\u6700\u9ad8\u70b9\u8bef\u5dee 0.27%&#xff0c;v0&#061;50\u3001\u03b8&#061;85\u00b0 \u65f6 0.079%\u3002\u963b\u529b\u7ec8\u7aef\u901f\u5ea6 v_term&#061;\u221a(g\/k)\u224844m\/s&#xff0c;\u6570\u503c\u4e0a dt\u22640.05 \u65f6 k\u00b7v\u00b7dt\u226a1&#xff0c;\u7a33\u5b9a\u4e0d\u53d1\u6563\u3002<\/p>\n<h3>\u516d\u3001\u62a4\u57ce\u6cb3&#xff1a;\u53ef\u91cd\u653e &#043; \u7b2c\u4e09\u65b9\u771f\u503c\u5bf9\u62cd<\/h3>\n<p>\u6211\u7528 AI \u5199\u4ee3\u7801\u7684\u5fc3\u75c5\u662f\u300c\u5b83\u5f53\u573a\u8dd1\u5bf9&#xff0c;\u662f\u771f\u5bf9\u8fd8\u662f\u78b0\u5de7\u300d\u3002\u6240\u4ee5\u5b88\u4e86\u4e24\u6761&#xff1a;<\/p>\n<p>\u786e\u5b9a\u6027\u91cd\u653e&#xff1a;\u56fa\u5b9a\u6b65\u957f\u7d2f\u52a0\u5668 &#043; \u6bcf\u53d1\u72ec\u7acb\u79cd\u5b50 mulberry32(seed ^ shellId)&#xff0c;replay \u53ea\u5b58 (seed, events, H) \u9760\u786e\u5b9a\u6027\u91cd\u5efa\u3002\u53d6\u8bc1\u811a\u672c\u91cc seed&#061;12345 \u8dd1 300 \u5e27\u4e24\u6b21&#xff0c;\u9010\u5e27\u6700\u5927\u8bef\u5dee &#061; 0\u3002<\/p>\n<p>\u7b2c\u4e09\u65b9\u771f\u503c\u5bf9\u62cd&#xff1a;\u8bef\u5dee\u8868\u91cc predictor \u7528\u95ed\u5f0f\u89e3\u3001verifier \u7528\u79ef\u5206&#xff0c;\u4e24\u4e2a\u72ec\u7acb\u5b9e\u73b0\u5bf9\u540c\u4e00\u53d1 (v0,\u03b8) \u7b97&#xff0c;\u8bef\u5dee\u5c31\u662f\u771f\u5b9e\u7684\u79ef\u5206\u8bef\u5dee\u3002\u53d6\u8bc1\u8f93\u51fa\u957f\u8fd9\u6837&#xff1a;<\/p>\n<p>&#061;&#061; \u771f\u00b7\u7b2c\u4e09\u65b9\u5bf9\u62cd (predictor \u95ed\u5f0f vs verifier \u79ef\u5206) &#061;&#061;<br \/>\n  v0&#061;60 \u03b8&#061;75\u00b0 dt&#061;0.016  h\u8bef\u5dee&#061;0.270% T\u8bef\u5dee&#061;0.031%<br \/>\n  v0&#061;50 \u03b8&#061;85\u00b0 dt&#061;0.004  h\u8bef\u5dee&#061;0.079% T\u8bef\u5dee&#061;0.012%<br \/>\n&#061;&#061; \u786e\u5b9a\u6027\u91cd\u653e &#061;&#061;<br \/>\n  seed&#061;12345  frames&#061;300  \u9010\u5e27\u6700\u5927\u8bef\u5dee&#061;0  \u91cd\u653e\u4e00\u81f4 \u2713<br \/>\n&#061;&#061; SHA-256 \u6307\u7eb9 &#061;&#061;<br \/>\n  d2fd218fd05b0fc54a47a4cfe139d893c3f594f6016298c658afd677ae498952<\/p>\n<p>\u6bcf\u6b21\u53d6\u8bc1\u90fd\u5e26\u4e00\u4e2a SHA-256 \u6307\u7eb9&#xff0c;\u53c2\u6570\u4e32\u4e00\u6539\u6307\u7eb9\u5c31\u53d8&#xff0c;\u6570\u636e\u53ef\u6eaf\u6e90\u3002<\/p>\n<h3>\u4e03\u3001\u771f\u5b9e\u7684\u5751&#xff1a;\u4e09\u4e2a\u5dee\u70b9\u8ba9\u6211\u7ffb\u8f66\u7684\u77ac\u95f4<\/h3>\n<p>\u8fd9\u9879\u76ee\u4e0d\u662f\u4e00\u904d\u8fc7\u7684&#xff0c;\u5751\u90fd\u633a\u5b9e\u5728&#xff1a;<\/p>\n<p>\u5751\u4e00&#xff1a;\u7801\u9053\u628a\u4ed3\u5e93\u5efa\u6210\u4e86\u79c1\u6709\u3002 \u7b2c\u4e00\u8f6e\u5efa fireworks-physics \u65f6\u5b83\u9ed8\u8ba4\u8bbe\u6210\u4e86 private&#xff0c;\u6211\u533f\u540d clone \u76f4\u63a5 403\u3002\u6bd4\u8d5b\u786c\u6027\u8981\u6c42\u516c\u5f00\u4ed3&#xff0c;\u6211\u8ba9\u5b83\u6539\u56de public \u624d\u7ee7\u7eed\u3002\u8fd9\u4e2a\u5751\u4e0d\u67e5\u4f1a\u4e00\u76f4\u57cb\u5230\u6295\u7a3f\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072526-6ac1ff667b4f4.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5751\u4e8c&#xff1a;\u8bef\u5dee\u8868\u7b2c\u4e00\u7248\u663e\u793a 54%\u3002 \u9996\u5c4f\u8bef\u5dee\u8868\u521a\u63a5\u4e0a\u65f6&#xff0c;\u6211\u622a\u56fe\u4e00\u770b\u2014\u2014\u9884\u6d4b 272m\u3001\u5b9e\u6d4b 124m\u3001\u8bef\u5dee 54%\u3002\u539f\u56e0\u662f predictor \u7528 drag&#061;0 \u95ed\u5f0f\u89e3&#xff0c;\u73b0\u573a\u70df\u82b1\u5374\u5e26 drag&#061;0.005 \u963b\u529b\u98de&#xff0c;\u4e24\u4e2a\u6a21\u578b\u4e0d\u4e00\u6837&#xff0c;\u6bd4\u51fa\u6765\u7684\u662f\u300c\u6a21\u578b\u5dee\u300d\u4e0d\u662f\u300c\u79ef\u5206\u8bef\u5dee\u300d\u3002\u8fd9\u76f4\u63a5\u628a\u300c\u8bef\u5dee&lt;1%\u300d\u7684\u5356\u70b9\u6253\u8138\u4e86\u3002\u4fee\u6cd5&#xff1a;\u8bef\u5dee\u8868\u91cc predictor \u548c verifier \u90fd\u7528 drag&#061;0 \u540c\u6a21\u578b\u5bf9\u62cd&#xff0c;\u8bef\u5dee\u7acb\u523b\u56de\u5230 0.2% \u91cf\u7ea7&#xff0c;HUD \u4e5f\u6807\u6e05\u300c\u5bf9\u62cd\u6a21\u578b drag&#061;0 \/ \u73b0\u573a\u963b\u529b k&#061;0.005\u300d\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072526-6ac1ff66cdd71.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5751\u4e09&#xff1a;\u81ea\u8bc1\u5faa\u73af\u3002 \u4e09\u8f6e\u4e13\u5bb6\u8bc4\u5ba1\u91cc\u6280\u672f\u4e13\u5bb6\u70b9\u7834&#xff1a;\u5982\u679c predictor \u548c verifier \u5171\u7528\u540c\u4e00\u5957\u79ef\u5206\u5668&#xff0c;\u8bef\u5dee\u5c0f\u662f\u6570\u5b66\u5fc5\u7136&#xff0c;\u53ea\u8bc1\u660e\u6570\u503c\u7a33\u5b9a\u3001\u4e0d\u8bc1\u660e\u7269\u7406\u5bf9\u3002\u6211\u628a\u5b83\u62c6\u6210\u4e24\u6761\u72ec\u7acb\u5b9e\u73b0&#xff08;\u516c\u5f0f vs \u79ef\u5206&#xff09;&#xff0c;\u518d\u52a0\u300cdt \u51cf\u534a\u3001\u8bef\u5dee\u7ea6\u51cf\u534a\u300d\u7684\u4e00\u9636\u6536\u655b\u65ad\u8a00&#xff0c;\u624d\u628a\u8fd9\u4e2a\u6d1e\u5835\u4e0a\u3002<\/p>\n<h3>\u516b\u3001\u6d4b\u8bd5&#xff1a;29 \u9879\u5168\u7eff<\/h3>\n<p>\u89e3\u6790\u5bf9\u6807\u3001\u79ef\u5206\u6536\u655b\u3001\u786e\u5b9a\u6027\u91cd\u653e\u3001\u9010\u5e27\u54c8\u5e0c\u6f02\u79fb\u3001\u574f\u6570\u636e fuzz\u3001\u5b89\u5168\u7ea2\u7ebf&#xff0c;29 \u9879&#xff0c;\u6211\u6bcf\u4e00\u8f6e\u90fd clone \u5230\u672c\u5730\u72ec\u7acb node &#8211;test \u590d\u6838&#xff0c;\u4e0d\u662f\u7801\u9053\u8bf4\u7eff\u5c31\u7eff\u3002<\/p>\n<h3>\u4e5d\u3001\u63d0\u6548\u6570\u636e<\/h3>\n<table>\n<tr>\u73af\u8282\u7eaf\u624b\u5199\u4f30\u6478\u7801\u9053\u5b9e\u9645<\/tr>\n<tbody>\n<tr>\n<td>\u7269\u7406\u5c42 &#043; predictor\/verifier &#043; 29 \u6d4b\u8bd5<\/td>\n<td>\u4e24\u4e09\u5929<\/td>\n<td>\u7ea6 2.5 \u5c0f\u65f6&#xff08;\u516d\u8f6e&#xff09;<\/td>\n<\/tr>\n<tr>\n<td>\u591c\u7a7a\u6e32\u67d3 &#043; \u70b8\u5f00\u7c92\u5b50 &#043; \u89e3\u6790\u53e0\u52a0<\/td>\n<td>\u4e00\u5929<\/td>\n<td>\u4e00\u8f6e<\/td>\n<\/tr>\n<tr>\n<td>\u72b6\u6001\u673a &#043; \u9875\u9762 &#043; \u53d6\u8bc1\u811a\u672c<\/td>\n<td>\u4e00\u5929<\/td>\n<td>\u4e24\u8f6e<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5168\u7a0b\u6211\u9010\u5b57\u6572\u7684\u4ee3\u7801\u4e0d\u5230\u4e00\u6210&#xff0c;\u5269\u4e0b\u90fd\u662f\u7801\u9053\u5199\u3001\u6211 clone \u590d\u6838\u3002\u7801\u9053\u6bcf\u8f6e\u5e95\u4e0b\u4f1a\u81ea\u5df1\u8d34\u8fd0\u884c\u6570\u636e&#xff08;\u8017\u65f6\u3001\u8f93\u5165\/\u8f93\u51fa token\u3001\u5b50\u4efb\u52a1\u6570&#xff09;&#xff0c;\u62a5\u8d26\u633a\u6e05\u695a\u3002<\/p>\n<p>\u5206\u8f6e\u4ea7\u51fa\u5927\u81f4\u662f\u8fd9\u6837&#xff0c;\u4e00\u8f6e\u4e00\u6b65\u3001\u4e00\u6b65\u80fd\u8dd1&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072527-6ac1ff67250e8.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072527-6ac1ff6784918.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072527-6ac1ff67d98f4.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072528-6ac1ff683c766.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004072528-6ac1ff6891bda.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>\u5341\u3001\u4e94\u7ef4\u81ea\u68c0<\/h3>\n<ul>\n<li>\n<p>\u67b6\u6784&#xff1a;predictor\/verifier\/physics\/render\/app \u5206\u5c42&#xff0c;\u4e24\u6761\u72ec\u7acb\u8def\u5f84\u5bf9\u62cd\u3002<\/p>\n<\/li>\n<li>\n<p>\u4ee3\u7801&#xff1a;29 \u9879\u6d4b\u8bd5\u5168\u7eff &#043; \u9010\u5e27\u91cd\u653e\u8bef\u5dee 0 &#043; SHA-256 \u6307\u7eb9\u53ef\u6eaf\u6e90\u3002<\/p>\n<\/li>\n<li>\n<p>\u5b89\u5168&#xff1a;fuzz dt\/energy\u3001NaN \u62d2\u7edd\u3001clamp\u3001v_term \u5408\u7406\u3001\u4e0d\u8054\u7f51\u4e0d\u91c7\u96c6\u3002<\/p>\n<\/li>\n<li>\n<p>UI&#xff1a;\u7b2c\u4e00\u5c4f\u8bef\u5dee\u8868 &#043; \u591c\u7a7a &#043; \u53e0\u52a0\u89e3\u6790\u865a\u7ebf&#xff0c;\u6df1\u8272\u514b\u5236\u3001\u56fd\u5e86\u7ea2\u91d1\u70b9\u7f00\u3002<\/p>\n<\/li>\n<li>\n<p>\u5185\u5bb9&#xff1a;\u771f\u5b9e\u622a\u56fe &#043; \u771f\u5b9e\u4ee3\u7801 &#043; \u771f\u8dd1\u51fa\u6765\u7684\u8bef\u5dee\u6570\u5b57 &#043; \u8bda\u5b9e\u5199\u4e09\u4e2a\u5751\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>\u5341\u4e00\u3001\u672c\u5730\u600e\u4e48\u8dd1<\/h3>\n<p>git clone https:\/\/atomgit.com\/azhiqiu\/fireworks-physics.git<br \/>\ncd fireworks-physics<br \/>\nnode &#8211;test              # 29 \u9879\u5168\u7eff<br \/>\nnode tools\/evidence.cjs  # \u7b2c\u4e09\u65b9\u5bf9\u62cd &#043; 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