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dev/.documenter-siteinfo.json

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{"documenter":{"julia_version":"1.12.5","generation_timestamp":"2026-04-01T14:12:34","documenter_version":"1.17.0"}}
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{"documenter":{"julia_version":"1.12.5","generation_timestamp":"2026-04-01T14:53:56","documenter_version":"1.17.0"}}

dev/AbstractVectorOfArrayInterface/index.html

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dev/array_types/index.html

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dev/breaking_changes_v4/index.html

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da(0.5, Val{1}) # first derivative at t=0.5
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da([0.1, 0.5, 0.9]) # interpolate at multiple times
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da(0.5; idxs = 1) # interpolate single component
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da(0.5; idxs = [1, 2]) # interpolate subset of components</code></pre><p>The interpolation object must be callable as <code>interp(t, idxs, deriv, p, continuity)</code>, matching the protocol used by SciMLBase&#39;s <code>LinearInterpolation</code>, <code>HermiteInterpolation</code>, and <code>ConstantInterpolation</code>.</p><p>When <code>dense = true</code> and <code>interp</code> is provided, <code>plot(da)</code> automatically generates dense interpolated output instead of plotting only the saved time points.</p><h2 id="Ragged-Arrays-Sublibrary"><a class="docs-heading-anchor" href="#Ragged-Arrays-Sublibrary">Ragged Arrays Sublibrary</a><a id="Ragged-Arrays-Sublibrary-1"></a><a class="docs-heading-anchor-permalink" href="#Ragged-Arrays-Sublibrary" title="Permalink"></a></h2><p><code>RaggedVectorOfArray</code> and <code>RaggedDiffEqArray</code> are available via:</p><pre><code class="language-julia hljs">using RecursiveArrayToolsRaggedArrays</code></pre><p>These types preserve the true ragged structure without zero-padding, and do <strong>not</strong> subtype <code>AbstractArray</code>. See the <code>RecursiveArrayToolsRaggedArrays</code> subpackage for details.</p><h2 id="Zygote-Compatibility"><a class="docs-heading-anchor" href="#Zygote-Compatibility">Zygote Compatibility</a><a id="Zygote-Compatibility-1"></a><a class="docs-heading-anchor-permalink" href="#Zygote-Compatibility" title="Permalink"></a></h2><p>Some Zygote adjoint rules need updating for the new <code>AbstractArray</code> subtyping. ForwardDiff continues to work correctly. Zygote support will be updated in a follow-up release.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><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 1.17.0 on <span class="colophon-date" title="Wednesday 1 April 2026 14:12">Wednesday 1 April 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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da(0.5; idxs = [1, 2]) # interpolate subset of components</code></pre><p>The interpolation object must be callable as <code>interp(t, idxs, deriv, p, continuity)</code>, matching the protocol used by SciMLBase&#39;s <code>LinearInterpolation</code>, <code>HermiteInterpolation</code>, and <code>ConstantInterpolation</code>.</p><p>When <code>dense = true</code> and <code>interp</code> is provided, <code>plot(da)</code> automatically generates dense interpolated output instead of plotting only the saved time points.</p><h2 id="Ragged-Arrays-Sublibrary"><a class="docs-heading-anchor" href="#Ragged-Arrays-Sublibrary">Ragged Arrays Sublibrary</a><a id="Ragged-Arrays-Sublibrary-1"></a><a class="docs-heading-anchor-permalink" href="#Ragged-Arrays-Sublibrary" title="Permalink"></a></h2><p><code>RaggedVectorOfArray</code> and <code>RaggedDiffEqArray</code> are available via:</p><pre><code class="language-julia hljs">using RecursiveArrayToolsRaggedArrays</code></pre><p>These types preserve the true ragged structure without zero-padding, and do <strong>not</strong> subtype <code>AbstractArray</code>. See the <code>RecursiveArrayToolsRaggedArrays</code> subpackage for details.</p><h2 id="Zygote-Compatibility"><a class="docs-heading-anchor" href="#Zygote-Compatibility">Zygote Compatibility</a><a id="Zygote-Compatibility-1"></a><a class="docs-heading-anchor-permalink" href="#Zygote-Compatibility" title="Permalink"></a></h2><p>Some Zygote adjoint rules need updating for the new <code>AbstractArray</code> subtyping. ForwardDiff continues to work correctly. Zygote support will be updated in a follow-up release.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><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 1.17.0 on <span class="colophon-date" title="Wednesday 1 April 2026 14:53">Wednesday 1 April 2026</span>. Using Julia version 1.12.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/index.html

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Official https://julialang.org release
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Platform Info:
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OS: Linux (x86_64-linux-gnu)
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CPU: 4 × Intel(R) Xeon(R) Platinum 8370C CPU @ 2.80GHz
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CPU: 4 × AMD EPYC 9V74 80-Core Processor
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WORD_SIZE: 64
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LLVM: libLLVM-18.1.7 (ORCJIT, icelake-server)
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LLVM: libLLVM-18.1.7 (ORCJIT, znver4)
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GC: Built with stock GC
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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`
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[83775a58] Zlib_jll v1.3.1+2
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[8e850b90] libblastrampoline_jll v5.15.0+0
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[8e850ede] nghttp2_jll v1.64.0+1
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[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/v4.0.1/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v4.0.1/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="breaking_changes_v4/">Breaking Changes in v4.0: AbstractArray Interface »</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 1.17.0 on <span class="colophon-date" title="Wednesday 1 April 2026 14:12">Wednesday 1 April 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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[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/v4.0.1/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v4.0.1/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="breaking_changes_v4/">Breaking Changes in v4.0: AbstractArray Interface »</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 1.17.0 on <span class="colophon-date" title="Wednesday 1 April 2026 14:53">Wednesday 1 April 2026</span>. Using Julia version 1.12.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/plotting/index.html

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A(0.5; idxs = 1) # interpolate component 1 at t=0.5
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A([0.1, 0.5, 0.9]) # interpolate at multiple times (returns DiffEqArray)
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A(0.5, Val{1}) # first derivative at t=0.5
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A(0.5; continuity = :right) # right-continuity at discontinuities</code></pre><p>The interpolation object must be callable as <code>interp(t, idxs, deriv, p, continuity)</code>, matching the protocol used by SciMLBase&#39;s <code>LinearInterpolation</code>, <code>HermiteInterpolation</code>, and <code>ConstantInterpolation</code>.</p><p>When no interpolation is available (<code>interp === nothing</code>), calling <code>A(t)</code> throws an error.</p><h2 id="ODE-Solution-Plotting"><a class="docs-heading-anchor" href="#ODE-Solution-Plotting">ODE Solution Plotting</a><a id="ODE-Solution-Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#ODE-Solution-Plotting" title="Permalink"></a></h2><p>ODE solutions from DifferentialEquations.jl are subtypes of <code>AbstractDiffEqArray</code> and inherit all of the above functionality, plus additional features:</p><ul><li><strong>Automatic dense plotting</strong>: <code>denseplot</code> defaults to <code>true</code> when the solver provides dense output.</li><li><strong>Analytic solution overlay</strong>: <code>plot(sol; plot_analytic = true)</code> overlays the exact solution if the problem defines one.</li><li><strong>Discrete variables</strong>: Time-varying parameters are plotted as step functions with dashed lines and markers.</li><li><strong>Symbolic indexing</strong>: Full symbolic indexing through ModelingToolkit is supported, including observed (derived) variables.</li></ul><p>These advanced features are defined in SciMLBase and activate automatically when plotting solution objects.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../array_types/">« Recursive Array Types</a><a class="docs-footer-nextpage" href="../recursive_array_functions/">Recursive Array Functions »</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 1.17.0 on <span class="colophon-date" title="Wednesday 1 April 2026 14:12">Wednesday 1 April 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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A(0.5; continuity = :right) # right-continuity at discontinuities</code></pre><p>The interpolation object must be callable as <code>interp(t, idxs, deriv, p, continuity)</code>, matching the protocol used by SciMLBase&#39;s <code>LinearInterpolation</code>, <code>HermiteInterpolation</code>, and <code>ConstantInterpolation</code>.</p><p>When no interpolation is available (<code>interp === nothing</code>), calling <code>A(t)</code> throws an error.</p><h2 id="ODE-Solution-Plotting"><a class="docs-heading-anchor" href="#ODE-Solution-Plotting">ODE Solution Plotting</a><a id="ODE-Solution-Plotting-1"></a><a class="docs-heading-anchor-permalink" href="#ODE-Solution-Plotting" title="Permalink"></a></h2><p>ODE solutions from DifferentialEquations.jl are subtypes of <code>AbstractDiffEqArray</code> and inherit all of the above functionality, plus additional features:</p><ul><li><strong>Automatic dense plotting</strong>: <code>denseplot</code> defaults to <code>true</code> when the solver provides dense output.</li><li><strong>Analytic solution overlay</strong>: <code>plot(sol; plot_analytic = true)</code> overlays the exact solution if the problem defines one.</li><li><strong>Discrete variables</strong>: Time-varying parameters are plotted as step functions with dashed lines and markers.</li><li><strong>Symbolic indexing</strong>: Full symbolic indexing through ModelingToolkit is supported, including observed (derived) variables.</li></ul><p>These advanced features are defined in SciMLBase and activate automatically when plotting solution objects.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../array_types/">« Recursive Array Types</a><a class="docs-footer-nextpage" href="../recursive_array_functions/">Recursive Array Functions »</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 1.17.0 on <span class="colophon-date" title="Wednesday 1 April 2026 14:53">Wednesday 1 April 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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