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<htmllang="en"><head><metacharset="UTF-8"/><metaname="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · RecursiveArrayTools.jl</title><metaname="title" content="Home · RecursiveArrayTools.jl"/><metaproperty="og:title" content="Home · RecursiveArrayTools.jl"/><metaproperty="twitter:title" content="Home · RecursiveArrayTools.jl"/><metaname="description" content="Documentation for RecursiveArrayTools.jl."/><metaproperty="og:description" content="Documentation for RecursiveArrayTools.jl."/><metaproperty="twitter:description" content="Documentation for RecursiveArrayTools.jl."/><metaproperty="og:url" content="https://docs.sciml.ai/RecursiveArrayTools/stable/"/><metaproperty="twitter:url" content="https://docs.sciml.ai/RecursiveArrayTools/stable/"/><linkrel="canonical" 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data-theme-name="documenter-light" data-theme-primary/><scriptsrc="assets/themeswap.js"></script><linkhref="assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><divid="documenter"><navclass="docs-sidebar"><aclass="docs-logo" href><imgsrc="assets/logo.png" alt="RecursiveArrayTools.jl logo"/></a><divclass="docs-package-name"><spanclass="docs-autofit"><ahref>RecursiveArrayTools.jl</a></span></div><buttonclass="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ulclass="docs-menu"><liclass="is-active"><aclass="tocitem" href>Home</a><ulclass="internal"><li><aclass="tocitem" href="#Installation"><span>Installation</span></a></li><li><aclass="tocitem" href="#Contributing"><span>Contributing</span></a></li><li><aclass="tocitem" href="#Reproducibility"><span>Reproducibility</span></a></li></ul></li><li><aclass="tocitem" href="array_types/">Recursive Array Types</a></li><li><aclass="tocitem" href="recursive_array_functions/">Recursive Array Functions</a></li></ul><divclass="docs-version-selector field has-addons"><divclass="control"><spanclass="docs-label button is-static is-size-7">Version</span></div><divclass="docs-selector control is-expanded"><divclass="select is-fullwidth is-size-7"><selectid="documenter-version-selector"></select></div></div></div></nav><divclass="docs-main"><headerclass="docs-navbar"><aclass="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><navclass="breadcrumb"><ulclass="is-hidden-mobile"><liclass="is-active"><ahref>Home</a></li></ul><ulclass="is-hidden-tablet"><liclass="is-active"><ahref>Home</a></li></ul></nav><divclass="docs-right"><aclass="docs-navbar-link" href="https://github.com/SciML/RecursiveArrayTools.jl" title="View the repository on GitHub"><spanclass="docs-icon fa-brands"></span><spanclass="docs-label is-hidden-touch">GitHub</span></a><aclass="docs-navbar-link" href="https://github.com/SciML/RecursiveArrayTools.jl/blob/master/docs/src/index.md" title="Edit source on GitHub"><spanclass="docs-icon fa-solid"></span></a><aclass="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><aclass="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><articleclass="content" id="documenter-page"><h1id="RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper"><aclass="docs-heading-anchor" href="#RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper">RecursiveArrayTools.jl: Arrays of Arrays and Even Deeper</a><aid="RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper-1"></a><aclass="docs-heading-anchor-permalink" href="#RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper" title="Permalink"></a></h1><p>RecursiveArrayTools.jl is a set of tools for dealing with recursive arrays, like arrays of arrays. It contains type wrappers for making recursive arrays act more like normal arrays (for example, automating the recursion of broadcast, maps, iteration, and more), and utility functions which make it easier to work with recursive arrays.</p><h2id="Installation"><aclass="docs-heading-anchor" href="#Installation">Installation</a><aid="Installation-1"></a><aclass="docs-heading-anchor-permalink" href="#Installation" title="Permalink"></a></h2><p>To install RecursiveArrayTools.jl, use the Julia package manager:</p><pre><codeclass="language-julia hljs">using Pkg
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Pkg.add("RecursiveArrayTools")</code></pre><h2id="Contributing"><aclass="docs-heading-anchor" href="#Contributing">Contributing</a><aid="Contributing-1"></a><aclass="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h2><ul><li><p>Please refer to the <ahref="https://github.com/SciML/ColPrac/blob/master/README.md">SciML ColPrac: Contributor's Guide on Collaborative Practices for Community Packages</a> for guidance on PRs, issues, and other matters relating to contributing to SciML.</p></li><li><p>See the <ahref="https://github.com/SciML/SciMLStyle">SciML Style Guide</a> for common coding practices and other style decisions.</p></li><li><p>There are a few community forums:</p><ul><li>The #diffeq-bridged and #sciml-bridged channels in the <ahref="https://julialang.org/slack/">Julia Slack</a></li><li>The #diffeq-bridged and #sciml-bridged channels in the <ahref="https://julialang.zulipchat.com/#narrow/stream/279055-sciml-bridged">Julia Zulip</a></li><li>On the <ahref="https://discourse.julialang.org">Julia Discourse forums</a></li><li>See also <ahref="https://sciml.ai/community/">SciML Community page</a></li></ul></li></ul><h2id="Reproducibility"><aclass="docs-heading-anchor" href="#Reproducibility">Reproducibility</a><aid="Reproducibility-1"></a><aclass="docs-heading-anchor-permalink" href="#Reproducibility" title="Permalink"></a></h2><details><summary>The documentation of this SciML package was built using these direct dependencies,</summary><preclass="documenter-example-output"><codeclass="nohighlight hljs ansi">Status `~/work/RecursiveArrayTools.jl/RecursiveArrayTools.jl/docs/Project.toml`
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[e30172f5] Documenter v1.9.0
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[731186ca] RecursiveArrayTools v3.32.0 `~/work/RecursiveArrayTools.jl/RecursiveArrayTools.jl`</code></pre></details><details><summary>and using this machine and Julia version.</summary><preclass="documenter-example-output"><codeclass="nohighlight hljs ansi">Julia Version 1.11.4
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Commit 8561cc3d68d (2025-03-10 11:36 UTC)
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[e30172f5] Documenter v1.10.1
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[731186ca] RecursiveArrayTools v3.32.0 `~/work/RecursiveArrayTools.jl/RecursiveArrayTools.jl`</code></pre></details><details><summary>and using this machine and Julia version.</summary><preclass="documenter-example-output"><codeclass="nohighlight hljs ansi">Julia Version 1.11.5
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <ahref="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.32.0/assets/Manifest.toml">manifest</a> file and the <ahref="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.32.0/assets/Project.toml">project</a> file.</p></article><navclass="docs-footer"><aclass="docs-footer-nextpage" href="array_types/">Recursive Array Types »</a><divclass="flexbox-break"></div><pclass="footer-message">Powered by <ahref="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <ahref="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><divclass="modal" id="documenter-settings"><divclass="modal-background"></div><divclass="modal-card"><headerclass="modal-card-head"><pclass="modal-card-title">Settings</p><buttonclass="delete"></button></header><sectionclass="modal-card-body"><p><labelclass="label">Theme</label><divclass="select"><selectid="documenter-themepicker"><optionvalue="auto">Automatic (OS)</option><optionvalue="documenter-light">documenter-light</option><optionvalue="documenter-dark">documenter-dark</option><optionvalue="catppuccin-latte">catppuccin-latte</option><optionvalue="catppuccin-frappe">catppuccin-frappe</option><optionvalue="catppuccin-macchiato">catppuccin-macchiato</option><optionvalue="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <ahref="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.9.0 on <spanclass="colophon-date" title="Thursday 3 April 2025 15:39">Thursday 3 April 2025</span>. Using Julia version 1.11.4.</p></section><footerclass="modal-card-foot"></footer></div></div></div></body></html>
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Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <ahref="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.32.0/assets/Manifest.toml">manifest</a> file and the <ahref="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.32.0/assets/Project.toml">project</a> file.</p></article><navclass="docs-footer"><aclass="docs-footer-nextpage" href="array_types/">Recursive Array Types »</a><divclass="flexbox-break"></div><pclass="footer-message">Powered by <ahref="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <ahref="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><divclass="modal" id="documenter-settings"><divclass="modal-background"></div><divclass="modal-card"><headerclass="modal-card-head"><pclass="modal-card-title">Settings</p><buttonclass="delete"></button></header><sectionclass="modal-card-body"><p><labelclass="label">Theme</label><divclass="select"><selectid="documenter-themepicker"><optionvalue="auto">Automatic (OS)</option><optionvalue="documenter-light">documenter-light</option><optionvalue="documenter-dark">documenter-dark</option><optionvalue="catppuccin-latte">catppuccin-latte</option><optionvalue="catppuccin-frappe">catppuccin-frappe</option><optionvalue="catppuccin-macchiato">catppuccin-macchiato</option><optionvalue="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <ahref="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.10.1 on <spanclass="colophon-date" title="Tuesday 22 April 2025 06:34">Tuesday 22 April 2025</span>. Using Julia version 1.11.5.</p></section><footerclass="modal-card-foot"></footer></div></div></div></body></html>
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