{"id":114,"date":"2024-03-11T23:48:53","date_gmt":"2024-03-11T15:48:53","guid":{"rendered":"https:\/\/ultserver.com\/blog\/?p=114"},"modified":"2024-03-20T17:26:28","modified_gmt":"2024-03-20T09:26:28","slug":"eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98","status":"publish","type":"post","link":"https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/","title":{"rendered":"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898"},"content":{"rendered":"\n

\u80cc\u666f<\/h2>\n\n\n\n

\u9879\u76ee\u5f00\u53d1\u8fc7\u7a0b\u4e2d\uff0c\u4f7f\u7528Eigen\u8ba1\u7b97\u4e00\u6761\u8def\u5f84\u7684\u4e2d\u70b9\u65f6\u53d1\u73b0\u8ba1\u7b97\u7ed3\u679c\u5b58\u5728\u95ee\u9898\uff0c\u8ba1\u7b97\u7684\u7ed3\u679c\u5e76\u4e0d\u5728\u8def\u5f84\u4e0a\u3002<\/p>\n\n\n\n

\u8d77\u521d\uff0c\u7531\u4e8e\u8ba1\u7b97\u7ed3\u679c\u4f7f\u7528\u8fc7Open3D\u8fdb\u884c\u53ef\u89c6\u5316\u663e\u793a\uff0c\u56e0\u6b64\u6000\u7591\u662fOpen3D\u7684\u53ef\u89c6\u5316\u63a5\u53e3\u5b58\u5728\u95ee\u9898\u5bfc\u81f4\u7684\u3002\u4f46\u662f\u5728\u4f7f\u7528\u7b80\u5355\u6570\u636e\u8fdb\u884c\u8fdb\u4e00\u6b65\u6d4b\u8bd5\u53d1\u73b0\uff0cEigen\u5e93\u7684\u8ba1\u7b97\u7ed3\u679c\u5b58\u5728\u95ee\u9898\uff0c\u800c\u975e\u53ef\u89c6\u5316\u63a5\u53e3\u7684\u663e\u793a\u95ee\u9898\u3002<\/p>\n\n\n\n

\u590d\u73b0<\/h2>\n\n\n\n

\u590d\u73b0\u95ee\u9898\u7684\u7b80\u5316\u4ee3\u7801\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n\n\n\n

C++<\/span><\/path><\/path><\/svg><\/span>
vector<<\/span>Eigen<\/span>::Vector3d> line;<\/span><\/span>\n<\/span>\nEigen<\/span>::<\/span>Vector3d<\/span> <\/span>v0<\/span>(<\/span>0<\/span>, <\/span>1<\/span>, <\/span>2<\/span>), <\/span>v1<\/span>(<\/span>0<\/span>, -<\/span>1<\/span>, <\/span>2<\/span>);<\/span><\/span>\n<\/span>\nconst<\/span> <\/span>auto<\/span> v2 = (v0 - v1).<\/span>normalized<\/span>() * <\/span>0.5<\/span>;<\/span><\/span>\nstd<\/span>::cout << <\/span>"A: "<\/span> << v2  << <\/span>std<\/span>::endl;<\/span><\/span>\n<\/span>\nline<\/span>.<\/span>insert<\/span>(<\/span>line<\/span>.<\/span>begin<\/span>(), v2);<\/span><\/span>\nstd<\/span>::cout << <\/span>"B: "<\/span> << v2 << <\/span>std<\/span>::endl;<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n
\u4e0a\u8ff0\u4ee3\u7801\u7684\u6267\u884c\u7ed3\u679c\u4e3a\uff08\u4e3a\u4e86\u76f4\u89c2\u663e\u793a\u7ed3\u679c\uff0c\u535a\u6587\u5bf9\u6570\u636e\u8fdb\u884c\u4e86\u7b80\u5355\u7684\u683c\u5f0f\u5316\u5904\u7406\uff09\uff1a<\/p>\n\n\n\n
ShellSession<\/span><\/path><\/path><\/svg><\/span>
> A: [<\/span>0<\/span>,  <\/span>0.5<\/span>, <\/span>0<\/span>]<\/span><\/span>\n<\/span>\n> B: [<\/span>0<\/span>, <\/span>0.25<\/span>, <\/span>0<\/span>]    \/\/ \u9884\u671f\u8f93\u51fa\u5e94\u4e0eA\u76f8\u540c\uff0c\u4e0e\u9884\u671f\u4e0d\u7b26<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n
\u53ef\u4ee5\u770b\u5230\uff0c\u4e24\u6b21\u8f93\u51fa\u4e4b\u95f4\u5e76\u6ca1\u6709\u5bf9 v2 \u8fdb\u884c\u4fee\u6539\uff0c\u4f46\u662f\u8f93\u51fa\u7ed3\u679c\u5374\u4e0d\u4e00\u81f4\uff0c\u4e0e\u9884\u671f\u4e0d\u7b26\u3002<\/p>\n\n\n\n
\u5206\u6790<\/h2>\n\n\n\n
\u5728\u8fdb\u884c\u8c03\u67e5\u540e\u53d1\u73b0\uff0c\u8be5\u95ee\u9898\u662f\u7531\u4e8e\u6ee5\u7528\u4e86 auto \u5173\u952e\u5b57\u5bfc\u81f4\u7f16\u8bd1\u5668\u5c06\u5411\u91cf\/\u77e9\u9635\u7684\u8fd0\u7b97\u7ed3\u679c\u8bc6\u522b\u4e3a CwiseBinaryOp \u7c7b\u578b\u3002\u8be5\u7c7b\u578b\u76f8\u5f53\u4e8e\u5b58\u50a8\u4e86\u4e8c\u5143\u8fd0\u7b97\u4e0e\u4e24\u4e2a\u8fd0\u7b97\u53d8\u91cf\u7684\u5f15\u7528<\/strong>\uff0c\u800c\u975e\u8fd0\u7b97\u7ed3\u679c\uff0c\u4ec5\u5728\u9700\u8981\u83b7\u53d6\u7ed3\u679c\u65f6\u624d\u4f1a\u8fdb\u884c\u8ba1\u7b97\u3002\u8fd9\u79cd\u975e\u7acb\u523b\u8ba1\u7b97\u7ed3\u679c\u7684\u8fd0\u7b97\u65b9\u5f0f\u88ab\u79f0\u4e3a lazy evaluation\uff08\u611f\u89c9\u6709\u4e9b\u7c7b\u4f3c\u7b26\u53f7\u8fd0\u7b97\uff09\uff0cEigen \u4f7f\u7528\u8fd9\u79cd\u65b9\u5f0f\u63d0\u9ad8\u8fd0\u7b97\u6027\u80fd\u3002<\/p>\n\n\n\n
\u4f46\u662f\uff0clazy evaluation \u4e5f\u5e26\u6765\u4e86\u4e24\u4e2a\u9677\u9631\uff0c\u5206\u522b\u4e3a\u53d8\u91cf\u66f4\u65b0\u548c\u60ac\u7a7a\u5f15\u7528\u3002<\/p>\n\n\n\n
\u53d8\u91cf\u66f4\u65b0\u9677\u9631<\/h3>\n\n\n\n
\u7531\u4e8e CwiseBinaryOp \u7ed3\u679c\u5e76\u4e0d\u662f\u7acb\u523b\u8ba1\u7b97\u7684\uff0c\u56e0\u6b64\u5982\u679c\u4fee\u6539 CwiseBinaryOp \u5bf9\u5e94\u7684\u516c\u5f0f\u4e2d\u5305\u542b\u7684\u53d8\u91cf\uff0cCwiseBinaryOp \u7684\u8ba1\u7b97\u7ed3\u679c\u4e5f\u4f1a\u968f\u4e4b\u6539\u53d8\uff0c\u4f8b\u5982\u4e0b\u8ff0\u4ee3\u7801\uff1a<\/p>\n\n\n\n
C++<\/span><\/path><\/path><\/svg><\/span>
Eigen<\/span>::<\/span>Vector3d<\/span> <\/span>v0<\/span>(<\/span>0<\/span>, <\/span>1<\/span>, <\/span>2<\/span>), <\/span>v1<\/span>(<\/span>0<\/span>, -<\/span>1<\/span>, <\/span>2<\/span>);<\/span><\/span>\n<\/span>\nconst<\/span> <\/span>auto<\/span> v2 = v0 + v1;<\/span>    \/\/ \u5b9e\u9645\u7c7b\u578b\u4e3a CwiseBinaryOp<\/span><\/span>\n<\/span>\nstd<\/span>::cout << <\/span>"A: "<\/span> << v2 << <\/span>std<\/span>::endl;<\/span><\/span>\n<\/span>\nv0 *= <\/span>2<\/span>;<\/span><\/span>\n<\/span>\nstd<\/span>::cout << <\/span>"B: "<\/span> << v2 << <\/span>std<\/span>::endl;<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n
\u4e0a\u8ff0\u4ee3\u7801\u7684\u6267\u884c\u7ed3\u679c\u4e3a\uff1a<\/p>\n\n\n\n
ShellSession<\/span><\/path><\/path><\/svg><\/span>
> A: [<\/span>0<\/span>, <\/span>0<\/span>, <\/span>4<\/span>]<\/span><\/span>\n<\/span>\n> B: [<\/span>0<\/span>, <\/span>1<\/span>, <\/span>6<\/span>]<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n
\u53ef\u4ee5\u770b\u5230\uff0c\u4e0a\u8ff0\u4ee3\u7801\u5728\u5b9a\u4e49 v2 \u8fd9\u4e00 CwiseBinaryOp \u4e4b\u540e\uff0c\u5bf9 v0 \u8fdb\u884c\u4e86\u4fee\u6539\uff0cv2 \u7684\u8ba1\u7b97\u7ed3\u679c\u4e5f\u968f\u4e4b\u66f4\u6539\u3002<\/p>\n\n\n\n
\u60ac\u7a7a\u5f15\u7528\u9677\u9631<\/h3>\n\n\n\n
\u7531\u4e8e CwiseBinaryOp \u4e2d\u8bb0\u5f55\u4e86\u5bf9\u5e94\u516c\u5f0f\u4e2d\u53d8\u91cf\u7684\u5f15\u7528\uff0c\u56e0\u6b64\u5982\u679c\u53d8\u91cf\u4e3a\u6682\u5b58\u53d8\u91cf\uff0c\u5728\u6267\u884c\u5b8c CwiseBinaryOp \u5bf9\u8c61\u7684\u5b9a\u4e49\u4ee3\u7801\u65f6\uff0c\u6682\u5b58\u53d8\u91cf\u88ab\u91ca\u653e\uff0c\u5c31\u4f1a\u51fa\u73b0\u60ac\u7a7a\u5f15\u7528\u7684\u95ee\u9898\uff0c\u5bfc\u81f4\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u6216\u8005\u8bbf\u5b58\u9519\u8bef\uff0c\u4f8b\u5982\u4e0b\u8ff0\u4ee3\u7801\uff1a<\/p>\n\n\n\n
C++<\/span><\/path><\/path><\/svg><\/span>
Eigen<\/span>::<\/span>Vector3d<\/span> <\/span>v0<\/span>(<\/span>0<\/span>, <\/span>1<\/span>, <\/span>2<\/span>), <\/span>v1<\/span>(<\/span>0<\/span>, -<\/span>1<\/span>, <\/span>2<\/span>);<\/span><\/span>\n<\/span>\nconst<\/span> <\/span>auto<\/span> v2 = (v0 - v1).<\/span>normalized<\/span>() * <\/span>0.5<\/span>;<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n
\u5728\u5b9a\u4e49 v2 \u7684\u8fc7\u7a0b\u4e2d\uff0c\u4ea7\u751f\u4e86 (v0 – v1).normalized() \u8fd9\u4e00\u6682\u5b58\u53d8\u91cf\uff0c\u56e0\u6b64\u7c7b\u578b\u4e3a CwiseBinaryOp \u7684 v2 \u5c06\u4f1a\u8bb0\u5f55\u8fd9\u4e00\u6682\u5b58\u53d8\u91cf\u7684\u5f15\u7528\u3002\u4f46\u662f\u5728 v2 \u5b9a\u4e49\u6267\u884c\u5b8c\u6210\u540e\uff0c\u8be5\u6682\u5b58\u53d8\u91cf\u88ab\u91ca\u653e\uff0c\u5bfc\u81f4 v2 \u4e2d\u51fa\u73b0\u60ac\u7a7a\u5f15\u7528\u3002\u6839\u636e\u5177\u4f53\u7f16\u8bd1\u548c\u8fd0\u884c\u73af\u5883\uff0c\u53ef\u80fd\u5bfc\u81f4\u8ba1\u7b97\u7ed3\u679c\u5f02\u5e38\u6216\u7a0b\u5e8f\u629b\u51fa\u8bbf\u5b58\u9519\u8bef\u3002<\/p>\n\n\n\n
\u672c\u535a\u6587\u7ed9\u51fa\u5728\u590d\u73b0\u7ae0\u8282\u7ed9\u51fa\u7684\u5f02\u5e38\u4ee3\u7801\u5373\u4e3a\u60ac\u7a7a\u5f15\u7528\u9677\u9631\u7684\u590d\u73b0\u3002<\/p>\n\n\n\n
\u7ed3\u8bba<\/h2>\n\n\n\n
\u4f7f\u7528 Eigen \u8fdb\u884c\u77e9\u9635\u8fd0\u7b97\u65f6\uff0c\u4e0d\u8981\u4f7f\u7528 auto \u5173\u952e\u5b57\uff0c\u4ece\u800c\u907f\u514d\u8ba1\u7b97\u9519\u8bef\u6216\u662f\u7a0b\u5e8f\u62a5\u9519\u3002<\/p>\n\n\n\n
\n
“In short: do not use the auto keywords with Eigen’s expressions, unless you are 100% sure about what you are doing. In particular, do not use the auto keyword as a replacement for a Matrix<> type.”<\/em>
\u51fa\u5904\uff1aC++11 and the auto keyword | Common Pitfalls | Eigen Document<\/a><\/p>\n<\/blockquote>\n\n\n\n
\u53c2\u8003\u8d44\u6599<\/h2>\n\n\n\n
[1] Wrong results using auto with Eigen | StackOverflow<\/a><\/p>\n\n\n\n
[2] Erroneous use of auto type specifier with Eigen objects | StackOverflow<\/a><\/p>\n\n\n\n
[3] Eigen evaluation with an auto hits temporal | StackOverflow<\/a><\/p>\n\n\n\n
[4] Common Pitfalls | Eigen Document<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
\u5728Eigen\u4e2d\u4f7f\u7528auto\u5bfc\u81f4\u5411\u91cf\u7c7b\u578b\u88ab\u8bc6\u522b\u4e3a CwiseBinaryOp \uff0c\u8be5\u5bf9\u8c61\u76f8\u5f53\u4e8e\u5b58\u50a8\u4e86\u8fd0\u7b97\u516c\u5f0f\u800c\u975e\u8ba1\u7b97\u7ed3\u679c\uff0c\u8fdb\u800c\u7531\u4e8e\u53d8\u91cf\u66f4\u65b0\u6216\u60ac\u7a7a\u5f15\u7528\u95ee\u9898\uff0c\u5bfc\u81f4\u8fd0\u7b97\u7ed3\u679c\u5f02\u5e38\uff0c\u751a\u81f3\u62a5\u9519\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","wikipediapreview_detectlinks":true,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[7],"tags":[8,11],"class_list":["post-114","post","type-post","status-publish","format-standard","hentry","category-cpp","tag-c","tag-eigen"],"yoast_head":"\nEigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898 - UltBlog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ultserver.com\/blog\/cpp\/eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898 - UltBlog\" \/>\n<meta property=\"og:description\" content=\"\u5728Eigen\u4e2d\u4f7f\u7528auto\u5bfc\u81f4\u5411\u91cf\u7c7b\u578b\u88ab\u8bc6\u522b\u4e3a CwiseBinaryOp \uff0c\u8be5\u5bf9\u8c61\u76f8\u5f53\u4e8e\u5b58\u50a8\u4e86\u8fd0\u7b97\u516c\u5f0f\u800c\u975e\u8ba1\u7b97\u7ed3\u679c\uff0c\u8fdb\u800c\u7531\u4e8e\u53d8\u91cf\u66f4\u65b0\u6216\u60ac\u7a7a\u5f15\u7528\u95ee\u9898\uff0c\u5bfc\u81f4\u8fd0\u7b97\u7ed3\u679c\u5f02\u5e38\uff0c\u751a\u81f3\u62a5\u9519\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ultserver.com\/blog\/cpp\/eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898\/\" \/>\n<meta property=\"og:site_name\" content=\"UltBlog\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-11T15:48:53+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-03-20T09:26:28+00:00\" \/>\n<meta name=\"author\" content=\"Ultcrt\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ultcrt\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/cpp\\\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/cpp\\\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\\\/\"},\"author\":{\"name\":\"Ultcrt\",\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/#\\\/schema\\\/person\\\/7e56085265669846c542f2b5790feab2\"},\"headline\":\"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898\",\"datePublished\":\"2024-03-11T15:48:53+00:00\",\"dateModified\":\"2024-03-20T09:26:28+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/cpp\\\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\\\/\"},\"wordCount\":117,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/#\\\/schema\\\/person\\\/7e56085265669846c542f2b5790feab2\"},\"keywords\":[\"C++\u9677\u9631\",\"Eigen\"],\"articleSection\":[\"C++\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/ultserver.com\\\/blog\\\/cpp\\\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/cpp\\\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\\\/\",\"url\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/cpp\\\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\\\/\",\"name\":\"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898 - UltBlog\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/#website\"},\"datePublished\":\"2024-03-11T15:48:53+00:00\",\"dateModified\":\"2024-03-20T09:26:28+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/cpp\\\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\\\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/ultserver.com\\\/blog\\\/cpp\\\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/cpp\\\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/#website\",\"url\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/\",\"name\":\"UltBlog\",\"description\":\"Ultcrt\u7684\u4e2a\u4eba\u535a\u5ba2\",\"publisher\":{\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/#\\\/schema\\\/person\\\/7e56085265669846c542f2b5790feab2\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"zh-Hans\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/#\\\/schema\\\/person\\\/7e56085265669846c542f2b5790feab2\",\"name\":\"Ultcrt\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/wp-content\\\/uploads\\\/2024\\\/03\\\/LOGOv1.1.5-Transparent.png\",\"url\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/wp-content\\\/uploads\\\/2024\\\/03\\\/LOGOv1.1.5-Transparent.png\",\"contentUrl\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/wp-content\\\/uploads\\\/2024\\\/03\\\/LOGOv1.1.5-Transparent.png\",\"width\":800,\"height\":600,\"caption\":\"Ultcrt\"},\"logo\":{\"@id\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/wp-content\\\/uploads\\\/2024\\\/03\\\/LOGOv1.1.5-Transparent.png\"},\"description\":\"\u70ed\u7231\u5f00\u53d1\u548c\u6e38\u620f\",\"sameAs\":[\"https:\\\/\\\/ultserver.com\\\/blog\"],\"url\":\"https:\\\/\\\/ultserver.com\\\/blog\\\/author\\\/ultcrt\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898 - UltBlog","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/ultserver.com\/blog\/cpp\/eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898\/","og_locale":"zh_CN","og_type":"article","og_title":"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898 - UltBlog","og_description":"\u5728Eigen\u4e2d\u4f7f\u7528auto\u5bfc\u81f4\u5411\u91cf\u7c7b\u578b\u88ab\u8bc6\u522b\u4e3a CwiseBinaryOp \uff0c\u8be5\u5bf9\u8c61\u76f8\u5f53\u4e8e\u5b58\u50a8\u4e86\u8fd0\u7b97\u516c\u5f0f\u800c\u975e\u8ba1\u7b97\u7ed3\u679c\uff0c\u8fdb\u800c\u7531\u4e8e\u53d8\u91cf\u66f4\u65b0\u6216\u60ac\u7a7a\u5f15\u7528\u95ee\u9898\uff0c\u5bfc\u81f4\u8fd0\u7b97\u7ed3\u679c\u5f02\u5e38\uff0c\u751a\u81f3\u62a5\u9519\u3002","og_url":"https:\/\/ultserver.com\/blog\/cpp\/eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898\/","og_site_name":"UltBlog","article_published_time":"2024-03-11T15:48:53+00:00","article_modified_time":"2024-03-20T09:26:28+00:00","author":"Ultcrt","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Ultcrt","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"1 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/#article","isPartOf":{"@id":"https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/"},"author":{"name":"Ultcrt","@id":"https:\/\/ultserver.com\/blog\/#\/schema\/person\/7e56085265669846c542f2b5790feab2"},"headline":"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898","datePublished":"2024-03-11T15:48:53+00:00","dateModified":"2024-03-20T09:26:28+00:00","mainEntityOfPage":{"@id":"https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/"},"wordCount":117,"commentCount":0,"publisher":{"@id":"https:\/\/ultserver.com\/blog\/#\/schema\/person\/7e56085265669846c542f2b5790feab2"},"keywords":["C++\u9677\u9631","Eigen"],"articleSection":["C++"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/","url":"https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/","name":"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898 - UltBlog","isPartOf":{"@id":"https:\/\/ultserver.com\/blog\/#website"},"datePublished":"2024-03-11T15:48:53+00:00","dateModified":"2024-03-20T09:26:28+00:00","breadcrumb":{"@id":"https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/ultserver.com\/blog\/cpp\/eigen%e4%b8%ad%e4%bd%bf%e7%94%a8auto%e5%8f%af%e8%83%bd%e5%af%bc%e8%87%b4%e7%9a%84%e8%ae%a1%e7%ae%97%e7%bb%93%e6%9e%9c%e9%94%99%e8%af%af%e9%97%ae%e9%a2%98\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/ultserver.com\/blog\/"},{"@type":"ListItem","position":2,"name":"Eigen\u4e2d\u4f7f\u7528auto\u53ef\u80fd\u5bfc\u81f4\u7684\u8ba1\u7b97\u7ed3\u679c\u9519\u8bef\u95ee\u9898"}]},{"@type":"WebSite","@id":"https:\/\/ultserver.com\/blog\/#website","url":"https:\/\/ultserver.com\/blog\/","name":"UltBlog","description":"Ultcrt\u7684\u4e2a\u4eba\u535a\u5ba2","publisher":{"@id":"https:\/\/ultserver.com\/blog\/#\/schema\/person\/7e56085265669846c542f2b5790feab2"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/ultserver.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"zh-Hans"},{"@type":["Person","Organization"],"@id":"https:\/\/ultserver.com\/blog\/#\/schema\/person\/7e56085265669846c542f2b5790feab2","name":"Ultcrt","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/ultserver.com\/blog\/wp-content\/uploads\/2024\/03\/LOGOv1.1.5-Transparent.png","url":"https:\/\/ultserver.com\/blog\/wp-content\/uploads\/2024\/03\/LOGOv1.1.5-Transparent.png","contentUrl":"https:\/\/ultserver.com\/blog\/wp-content\/uploads\/2024\/03\/LOGOv1.1.5-Transparent.png","width":800,"height":600,"caption":"Ultcrt"},"logo":{"@id":"https:\/\/ultserver.com\/blog\/wp-content\/uploads\/2024\/03\/LOGOv1.1.5-Transparent.png"},"description":"\u70ed\u7231\u5f00\u53d1\u548c\u6e38\u620f","sameAs":["https:\/\/ultserver.com\/blog"],"url":"https:\/\/ultserver.com\/blog\/author\/ultcrt\/"}]}},"spectra_custom_meta":{"_edit_lock":["1710926795:1"],"_edit_last":["1"],"_yoast_wpseo_primary_category":[""],"_yoast_wpseo_content_score":["90"],"_yoast_wpseo_estimated-reading-time-minutes":["1"],"_yoast_wpseo_wordproof_timestamp":[""],"_uagb_toc_options":["a:2:{s:17:\"_uagb_toc_version\";s:10:\"1777915058\";s:18:\"_uagb_toc_headings\";a:7:{i:0;a:4:{s:5:\"level\";i:2;s:2:\"id\";s:6:\"\u80cc\u666f\";s:7:\"content\";s:6:\"\u80cc\u666f\";s:5:\"depth\";i:2;}i:1;a:4:{s:5:\"level\";i:2;s:2:\"id\";s:6:\"\u590d\u73b0\";s:7:\"content\";s:6:\"\u590d\u73b0\";s:5:\"depth\";i:2;}i:2;a:4:{s:5:\"level\";i:2;s:2:\"id\";s:6:\"\u5206\u6790\";s:7:\"content\";s:6:\"\u5206\u6790\";s:5:\"depth\";i:2;}i:3;a:4:{s:5:\"level\";i:3;s:2:\"id\";s:18:\"\u53d8\u91cf\u66f4\u65b0\u9677\u9631\";s:7:\"content\";s:18:\"\u53d8\u91cf\u66f4\u65b0\u9677\u9631\";s:5:\"depth\";i:3;}i:4;a:4:{s:5:\"level\";i:3;s:2:\"id\";s:18:\"\u60ac\u7a7a\u5f15\u7528\u9677\u9631\";s:7:\"content\";s:18:\"\u60ac\u7a7a\u5f15\u7528\u9677\u9631\";s:5:\"depth\";i:3;}i:5;a:4:{s:5:\"level\";i:2;s:2:\"id\";s:6:\"\u7ed3\u8bba\";s:7:\"content\";s:6:\"\u7ed3\u8bba\";s:5:\"depth\";i:2;}i:6;a:4:{s:5:\"level\";i:2;s:2:\"id\";s:12:\"\u53c2\u8003\u8d44\u6599\";s:7:\"content\";s:12:\"\u53c2\u8003\u8d44\u6599\";s:5:\"depth\";i:2;}}}"],"_uagb_previous_block_counts":["a:90:{s:21:\"uagb\/advanced-heading\";i:0;s:15:\"uagb\/blockquote\";i:0;s:12:\"uagb\/buttons\";i:0;s:18:\"uagb\/buttons-child\";i:0;s:19:\"uagb\/call-to-action\";i:0;s:15:\"uagb\/cf7-styler\";i:0;s:11:\"uagb\/column\";i:0;s:12:\"uagb\/columns\";i:0;s:14:\"uagb\/container\";i:0;s:21:\"uagb\/content-timeline\";i:0;s:27:\"uagb\/content-timeline-child\";i:0;s:14:\"uagb\/countdown\";i:0;s:12:\"uagb\/counter\";i:0;s:8:\"uagb\/faq\";i:0;s:14:\"uagb\/faq-child\";i:0;s:10:\"uagb\/forms\";i:0;s:17:\"uagb\/forms-accept\";i:0;s:19:\"uagb\/forms-checkbox\";i:0;s:15:\"uagb\/forms-date\";i:0;s:16:\"uagb\/forms-email\";i:0;s:17:\"uagb\/forms-hidden\";i:0;s:15:\"uagb\/forms-name\";i:0;s:16:\"uagb\/forms-phone\";i:0;s:16:\"uagb\/forms-radio\";i:0;s:17:\"uagb\/forms-select\";i:0;s:19:\"uagb\/forms-textarea\";i:0;s:17:\"uagb\/forms-toggle\";i:0;s:14:\"uagb\/forms-url\";i:0;s:14:\"uagb\/gf-styler\";i:0;s:15:\"uagb\/google-map\";i:0;s:11:\"uagb\/how-to\";i:0;s:16:\"uagb\/how-to-step\";i:0;s:9:\"uagb\/icon\";i:0;s:14:\"uagb\/icon-list\";i:0;s:20:\"uagb\/icon-list-child\";i:0;s:10:\"uagb\/image\";i:0;s:18:\"uagb\/image-gallery\";i:0;s:13:\"uagb\/info-box\";i:0;s:18:\"uagb\/inline-notice\";i:0;s:11:\"uagb\/lottie\";i:0;s:21:\"uagb\/marketing-button\";i:0;s:10:\"uagb\/modal\";i:0;s:18:\"uagb\/popup-builder\";i:0;s:16:\"uagb\/post-button\";i:0;s:18:\"uagb\/post-carousel\";i:0;s:17:\"uagb\/post-excerpt\";i:0;s:14:\"uagb\/post-grid\";i:0;s:15:\"uagb\/post-image\";i:0;s:17:\"uagb\/post-masonry\";i:0;s:14:\"uagb\/post-meta\";i:0;s:18:\"uagb\/post-taxonomy\";i:0;s:18:\"uagb\/post-timeline\";i:0;s:15:\"uagb\/post-title\";i:0;s:20:\"uagb\/restaurant-menu\";i:0;s:26:\"uagb\/restaurant-menu-child\";i:0;s:11:\"uagb\/review\";i:0;s:12:\"uagb\/section\";i:0;s:14:\"uagb\/separator\";i:0;s:11:\"uagb\/slider\";i:0;s:17:\"uagb\/slider-child\";i:0;s:17:\"uagb\/social-share\";i:0;s:23:\"uagb\/social-share-child\";i:0;s:16:\"uagb\/star-rating\";i:0;s:23:\"uagb\/sure-cart-checkout\";i:0;s:22:\"uagb\/sure-cart-product\";i:0;s:15:\"uagb\/sure-forms\";i:0;s:22:\"uagb\/table-of-contents\";i:0;s:9:\"uagb\/tabs\";i:0;s:15:\"uagb\/tabs-child\";i:0;s:18:\"uagb\/taxonomy-list\";i:0;s:9:\"uagb\/team\";i:0;s:16:\"uagb\/testimonial\";i:0;s:14:\"uagb\/wp-search\";i:0;s:19:\"uagb\/instagram-feed\";i:0;s:10:\"uagb\/login\";i:0;s:17:\"uagb\/loop-builder\";i:0;s:18:\"uagb\/loop-category\";i:0;s:20:\"uagb\/loop-pagination\";i:0;s:15:\"uagb\/loop-reset\";i:0;s:16:\"uagb\/loop-search\";i:0;s:14:\"uagb\/loop-sort\";i:0;s:17:\"uagb\/loop-wrapper\";i:0;s:13:\"uagb\/register\";i:0;s:19:\"uagb\/register-email\";i:0;s:24:\"uagb\/register-first-name\";i:0;s:23:\"uagb\/register-last-name\";i:0;s:22:\"uagb\/register-password\";i:0;s:30:\"uagb\/register-reenter-password\";i:0;s:19:\"uagb\/register-terms\";i:0;s:22:\"uagb\/register-username\";i:0;}"],"_uag_css_file_name":["uag-css-114.css"],"_uag_js_file_name":["uag-js-114.js"],"_uag_page_assets":["a:9:{s:3:\"css\";s:6198:\".uag-blocks-common-selector{z-index:var(--z-index-desktop) !important}@media(max-width: 976px){.uag-blocks-common-selector{z-index:var(--z-index-tablet) !important}}@media(max-width: 767px){.uag-blocks-common-selector{z-index:var(--z-index-mobile) !important}}\ufeff.wp-block-uagb-table-of-contents .uagb-toc__wrap{display:inline-block;max-width:-moz-available;max-width:-webkit-fill-available;max-width:fill-available}.wp-block-uagb-table-of-contents li.uagb-toc__list{padding-top:10px}.wp-block-uagb-table-of-contents ul.uagb-toc__list,.wp-block-uagb-table-of-contents ol.uagb-toc__list{list-style-position:inside;padding-left:0;margin-bottom:0;margin-left:2.2em}.wp-block-uagb-table-of-contents ul.uagb-toc__list li,.wp-block-uagb-table-of-contents ol.uagb-toc__list li{margin:0}.wp-block-uagb-table-of-contents ul li:empty{display:none}.wp-block-uagb-table-of-contents .uagb-toc__title-wrap{display:flex;align-items:center}.wp-block-uagb-table-of-contents .uagb-toc__title{display:flex;align-items:center}.wp-block-uagb-table-of-contents .uagb-toc__is-collapsible.uagb-toc__title-wrap{cursor:pointer}.wp-block-uagb-table-of-contents .uag-toc__collapsible-wrap svg{width:20px;height:20px}.wp-block-uagb-table-of-contents svg{width:20px;height:20px;display:inline-block;margin-left:10px;cursor:pointer}.wp-block-uagb-table-of-contents .uag-toc__collapsible-wrap{display:flex;margin-left:10px;cursor:pointer}.wp-block-uagb-table-of-contents.uagb-toc__collapse .uagb-toc__list-wrap{display:none}.wp-block-uagb-table-of-contents.uagb-toc__collapse--list ul.uagb-toc__list,.wp-block-uagb-table-of-contents.uagb-toc__collapse--list ol.uagb-toc__list{padding-left:2px}ol.uagb-toc__list li.uagb-toc__list ul,ol.uagb-toc__list ul.uagb-toc__list ul{list-style-type:circle}ol.uagb-toc__list>ul,ol.uagb-toc__list>li{list-style-type:disc}.uagb-toc__scroll-top{position:fixed;right:50px;bottom:50px;display:none;padding:10px;background:#ccd0d4;cursor:pointer;font-size:1rem;line-height:1.8571428571}.uagb-toc__scroll-top svg{width:1.6em;height:.6em;margin-left:0;transform:translate(0, -20%) rotate(180deg);fill:currentColor}.uagb-toc__scroll-top.uagb-toc__show-scroll{display:inline-table}body[class*=astra] .uagb-toc__list{line-height:normal}.uagb-toc__list{margin-top:0}.wp-block-uagb-table-of-contents ol.uagb-toc__list li.uagb-toc__list.uagb-toc__list--expandable{list-style-type:none !important}ul.uagb-toc__list--child-of-closed-list{padding-top:0 !important}ul.uagb-toc__list--hidden-child{display:none !important}.list-open::before,.list-collapsed::before{content:\"\u25bc\"\/\"\";transition:transform .3s ease;transform:scale(0.7) translateX(-50%);display:inline-block}.list-collapsed::before{transform:scale(0.7) rotate(-90deg) translate(-84%, 6%)}span.list-open,span.list-collapsed{cursor:pointer;outline:none !important}.uagb-toc__list.transition{transition:max-height 300ms ease-in-out,padding-top 300ms ease-in-out}.uagb-toc__loader{border:2px solid #f3f3f3;border-top:2px solid #0073aa;border-radius:50%;width:20px;height:20px;animation:spin 1.1s linear infinite;display:block;position:absolute;margin-top:5px}.uagb-toc__list-hidden{opacity:0}@keyframes spin{0%{transform:rotate(0deg)}100%{transform:rotate(360deg)}}[dir=rtl] .list-open::before{transform:scale(0.7) translateX(50%)}[dir=rtl] .list-collapsed::before{transform:scale(0.7) rotate(90deg) translate(84%, 6%)}[dir=rtl] .wp-block-uagb-table-of-contents.uagb-toc__collapse--list ul.uagb-toc__list,[dir=rtl] .wp-block-uagb-table-of-contents.uagb-toc__collapse--list ol.uagb-toc__list{padding-left:0;padding-right:2px;margin-left:0;margin-right:2.2em}.uagb-block-0cf44a2b.wp-block-uagb-table-of-contents{text-align: left;}.uagb-block-0cf44a2b .uagb-toc__list-wrap li a:hover{color: #000000;}.uagb-block-0cf44a2b .uagb-toc__list-wrap li a{color: #a00000;}.uagb-block-0cf44a2b .uagb-toc__wrap .uagb-toc__title-wrap{justify-content: left;}.uagb-block-0cf44a2b .uagb-toc__wrap .uagb-toc__title{color: #000000;justify-content: space-between;cursor: pointer;}.uagb-block-0cf44a2b .uagb-toc__wrap{border-top-left-radius: 6px;border-top-right-radius: 6px;border-bottom-left-radius: 6px;border-bottom-right-radius: 6px;border-color: #333;border-style: none;padding-left: 30px;padding-right: 30px;padding-top: 30px;padding-bottom: 30px;background: #ffffff;width: 100%;}.uagb-block-0cf44a2b .uagb-toc__list-wrap{column-count: 1;overflow: hidden;text-align: left;}.uagb-block-0cf44a2b .uagb-toc__list-wrap > ul.uagb-toc__list > li:first-child{padding-top: 0;}.uagb-block-0cf44a2b .uagb-toc__list-wrap ol.uagb-toc__list:first-child{margin-left: 0px;margin-right: 0px;margin-top: 0px;margin-bottom: 0px;}.uagb-block-0cf44a2b .uagb-toc__list-wrap ul.uagb-toc__list:last-child > li:last-child{padding-bottom: 0;}.uagb-block-0cf44a2b .uag-toc__collapsible-wrap svg{fill: #000000;}.uagb-block-0cf44a2b svg{fill: #000000;}.uagb-block-0cf44a2b .uagb-toc__list-wrap ol.uagb-toc__list > li{padding-top: calc( 0px \/ 2 );padding-bottom: calc( 0px \/ 2 );}.uagb-block-0cf44a2b .uagb-toc__list-wrap ul.uagb-toc__list > li{padding-top: calc( 0px \/ 2 );padding-bottom: calc( 0px \/ 2 );}.uagb-block-0cf44a2b .uagb-toc__list-wrap li.uagb-toc__list.uagb-toc__list--expandable > ul.uagb-toc__list{padding-top: calc( 0px \/ 2 );}.uagb-block-0cf44a2b .uagb-toc__list .uagb-toc__list{list-style-type: disc !important;}.uagb-block-0cf44a2b .uagb-toc__title{font-weight: Default;font-size: 20px;}@media only screen and (max-width: 976px) {.uagb-block-0cf44a2b .uagb-toc__wrap{border-style: none;}.uagb-block-0cf44a2b .uagb-toc__list-wrap{column-count: 1;overflow: hidden;text-align: left;}.uagb-block-0cf44a2b .uagb-toc__list-wrap > ul.uagb-toc__list > li:first-child{padding-top: 0;}.uagb-block-0cf44a2b .uagb-toc__list-wrap ul.uagb-toc__list:last-child > li:last-child{padding-bottom: 0;}}@media only screen and (max-width: 767px) {.uagb-block-0cf44a2b .uagb-toc__wrap{border-style: none;}.uagb-block-0cf44a2b .uagb-toc__list-wrap{column-count: 1;overflow: hidden;text-align: left;}.uagb-block-0cf44a2b .uagb-toc__list-wrap > ul.uagb-toc__list > li:first-child{padding-top: 0;}.uagb-block-0cf44a2b .uagb-toc__list-wrap ul.uagb-toc__list:last-child > li:last-child{padding-bottom: 0;}}\";s:2:\"js\";s:382:\"document.addEventListener(\"DOMContentLoaded\", function(){ window.addEventListener( 'load', function(){\n\tUAGBTableOfContents._run( {\"mappingHeaders\":[true,true,true,true,true,true],\"scrollToTop\":false,\"makeCollapsible\":true,\"enableCollapsableList\":false,\"initialCollapse\":false,\"markerView\":\"disc\",\"isFrontend\":true,\"initiallyCollapseList\":false}, '.uagb-block-0cf44a2b' );\n} );\n });\";s:18:\"current_block_list\";a:17:{i:0;s:12:\"core\/heading\";i:1;s:14:\"core\/paragraph\";i:2;s:27:\"kevinbatdorf\/code-block-pro\";i:3;s:10:\"core\/quote\";i:4;s:11:\"core\/search\";i:5;s:10:\"core\/group\";i:6;s:17:\"core\/latest-posts\";i:7;s:20:\"core\/latest-comments\";i:8;s:13:\"core\/archives\";i:9;s:15:\"core\/categories\";i:10;s:14:\"core\/page-list\";i:11;s:10:\"core\/embed\";i:13;s:18:\"core\/legacy-widget\";i:14;s:9:\"core\/list\";i:15;s:14:\"core\/list-item\";i:16;s:22:\"uagb\/table-of-contents\";i:17;s:25:\"uagb\/animations-extension\";}s:8:\"uag_flag\";b:1;s:11:\"uag_version\";s:10:\"1777915058\";s:6:\"gfonts\";a:0:{}s:10:\"gfonts_url\";s:0:\"\";s:12:\"gfonts_files\";a:0:{}s:14:\"uag_faq_layout\";b:0;}"]},"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false},"uagb_author_info":{"display_name":"Ultcrt","author_link":"https:\/\/ultserver.com\/blog\/author\/ultcrt\/"},"uagb_comment_info":0,"uagb_excerpt":"\u5728Eigen\u4e2d\u4f7f\u7528auto\u5bfc\u81f4\u5411\u91cf\u7c7b\u578b\u88ab\u8bc6\u522b\u4e3a CwiseBinaryOp \uff0c\u8be5\u5bf9\u8c61\u76f8\u5f53\u4e8e\u5b58\u50a8\u4e86\u8fd0\u7b97\u516c\u5f0f\u800c\u975e\u8ba1…","_links":{"self":[{"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/posts\/114","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/comments?post=114"}],"version-history":[{"count":2,"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/posts\/114\/revisions"}],"predecessor-version":[{"id":433,"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/posts\/114\/revisions\/433"}],"wp:attachment":[{"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/media?parent=114"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/categories?post=114"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ultserver.com\/blog\/wp-json\/wp\/v2\/tags?post=114"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}