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2 | 2 | <html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · RecursiveArrayTools.jl</title><meta name="title" content="Home · RecursiveArrayTools.jl"/><meta property="og:title" content="Home · RecursiveArrayTools.jl"/><meta property="twitter:title" content="Home · RecursiveArrayTools.jl"/><meta name="description" content="Documentation for RecursiveArrayTools.jl."/><meta property="og:description" content="Documentation for RecursiveArrayTools.jl."/><meta property="twitter:description" content="Documentation for RecursiveArrayTools.jl."/><meta property="og:url" content="https://docs.sciml.ai/RecursiveArrayTools/stable/"/><meta property="twitter:url" content="https://docs.sciml.ai/RecursiveArrayTools/stable/"/><link rel="canonical" href="https://docs.sciml.ai/RecursiveArrayTools/stable/"/><script data-outdated-warner src="assets/warner.js"></script><link 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href="array_types/">Recursive Array Types</a></li><li><a class="tocitem" href="recursive_array_functions/">Recursive Array Functions</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/SciML/RecursiveArrayTools.jl" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/SciML/RecursiveArrayTools.jl/blob/master/docs/src/index.md" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper"><a class="docs-heading-anchor" href="#RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper">RecursiveArrayTools.jl: Arrays of Arrays and Even Deeper</a><a id="RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper-1"></a><a class="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><h2 id="Installation"><a class="docs-heading-anchor" href="#Installation">Installation</a><a id="Installation-1"></a><a class="docs-heading-anchor-permalink" href="#Installation" title="Permalink"></a></h2><p>To install RecursiveArrayTools.jl, use the Julia package manager:</p><pre><code class="language-julia hljs">using Pkg |
3 | | -Pkg.add("RecursiveArrayTools")</code></pre><h2 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h2><ul><li><p>Please refer to the <a href="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 <a href="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 <a href="https://julialang.org/slack/">Julia Slack</a></li><li>The #diffeq-bridged and #sciml-bridged channels in the <a href="https://julialang.zulipchat.com/#narrow/stream/279055-sciml-bridged">Julia Zulip</a></li><li>On the <a href="https://discourse.julialang.org">Julia Discourse forums</a></li><li>See also <a href="https://sciml.ai/community/">SciML Community page</a></li></ul></li></ul><h2 id="Reproducibility"><a class="docs-heading-anchor" href="#Reproducibility">Reproducibility</a><a id="Reproducibility-1"></a><a class="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><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Status `~/github-runners/deepsea4-1/_work/RecursiveArrayTools.jl/RecursiveArrayTools.jl/docs/Project.toml` |
| 3 | +Pkg.add("RecursiveArrayTools")</code></pre><h2 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h2><ul><li><p>Please refer to the <a href="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 <a href="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 <a href="https://julialang.org/slack/">Julia Slack</a></li><li>The #diffeq-bridged and #sciml-bridged channels in the <a href="https://julialang.zulipchat.com/#narrow/stream/279055-sciml-bridged">Julia Zulip</a></li><li>On the <a href="https://discourse.julialang.org">Julia Discourse forums</a></li><li>See also <a href="https://sciml.ai/community/">SciML Community page</a></li></ul></li></ul><h2 id="Reproducibility"><a class="docs-heading-anchor" href="#Reproducibility">Reproducibility</a><a id="Reproducibility-1"></a><a class="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><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Status `~/work/RecursiveArrayTools.jl/RecursiveArrayTools.jl/docs/Project.toml` |
4 | 4 | [e30172f5] Documenter v1.16.1 |
5 | | - [731186ca] RecursiveArrayTools v3.47.0 `~/github-runners/deepsea4-1/_work/RecursiveArrayTools.jl/RecursiveArrayTools.jl`</code></pre></details><details><summary>and using this machine and Julia version.</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Julia Version 1.12.4 |
6 | | -Commit 01a2eadb047 (2026-01-06 16:56 UTC) |
| 5 | + [731186ca] RecursiveArrayTools v3.48.0 `~/work/RecursiveArrayTools.jl/RecursiveArrayTools.jl`</code></pre></details><details><summary>and using this machine and Julia version.</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Julia Version 1.12.5 |
| 6 | +Commit 5fe89b8ddc1 (2026-02-09 16:05 UTC) |
7 | 7 | Build Info: |
8 | 8 | Official https://julialang.org release |
9 | 9 | Platform Info: |
10 | 10 | OS: Linux (x86_64-linux-gnu) |
11 | | - CPU: 128 × AMD EPYC 7513 32-Core Processor |
| 11 | + CPU: 4 × AMD EPYC 7763 64-Core Processor |
12 | 12 | WORD_SIZE: 64 |
13 | 13 | LLVM: libLLVM-18.1.7 (ORCJIT, znver3) |
14 | 14 | GC: Built with stock GC |
15 | | -Threads: 1 default, 1 interactive, 1 GC (on 128 virtual cores) |
16 | | -Environment: |
17 | | - JULIA_DEPOT_PATH = /home/chrisrackauckas/github-runners/deepsea4-1/.julia</code></pre></details><details><summary>A more complete overview of all dependencies and their versions is also provided.</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Status `~/github-runners/deepsea4-1/_work/RecursiveArrayTools.jl/RecursiveArrayTools.jl/docs/Manifest.toml` |
| 15 | +Threads: 1 default, 1 interactive, 1 GC (on 4 virtual cores)</code></pre></details><details><summary>A more complete overview of all dependencies and their versions is also provided.</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Status `~/work/RecursiveArrayTools.jl/RecursiveArrayTools.jl/docs/Manifest.toml` |
18 | 16 | [a4c015fc] ANSIColoredPrinters v0.0.1 |
19 | 17 | [1520ce14] AbstractTrees v0.4.5 |
20 | 18 | [7d9f7c33] Accessors v0.1.43 |
|
39 | 37 | [aea7be01] PrecompileTools v1.3.3 |
40 | 38 | [21216c6a] Preferences v1.5.1 |
41 | 39 | [3cdcf5f2] RecipesBase v1.3.4 |
42 | | - [731186ca] RecursiveArrayTools v3.47.0 `~/github-runners/deepsea4-1/_work/RecursiveArrayTools.jl/RecursiveArrayTools.jl` |
| 40 | + [731186ca] RecursiveArrayTools v3.48.0 `~/work/RecursiveArrayTools.jl/RecursiveArrayTools.jl` |
43 | 41 | [2792f1a3] RegistryInstances v0.1.0 |
44 | 42 | [ae029012] Requires v1.3.1 |
45 | 43 | [7e49a35a] RuntimeGeneratedFunctions v0.5.17 |
|
91 | 89 | [83775a58] Zlib_jll v1.3.1+2 |
92 | 90 | [8e850b90] libblastrampoline_jll v5.15.0+0 |
93 | 91 | [8e850ede] nghttp2_jll v1.64.0+1 |
94 | | - [3f19e933] p7zip_jll v17.7.0+0</code></pre></details><p>You can also download the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.47.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.47.0/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="AbstractVectorOfArrayInterface/">The AbstractVectorOfArray and AbstractDiffEqArray Interfaces »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.16.1 on <span class="colophon-date" title="Sunday 8 February 2026 15:34">Sunday 8 February 2026</span>. Using Julia version 1.12.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> |
| 92 | + [3f19e933] p7zip_jll v17.7.0+0</code></pre></details><p>You can also download the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.48.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.48.0/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="AbstractVectorOfArrayInterface/">The AbstractVectorOfArray and AbstractDiffEqArray Interfaces »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.16.1 on <span class="colophon-date" title="Thursday 12 February 2026 01:11">Thursday 12 February 2026</span>. Using Julia version 1.12.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> |
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