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{"documenter":{"julia_version":"1.9.3","generation_timestamp":"2023-10-13T09:23:39","documenter_version":"1.1.1"}}
{"documenter":{"julia_version":"1.9.3","generation_timestamp":"2023-10-15T17:42:45","documenter_version":"1.1.1"}}
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<!DOCTYPE html>
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Implementer guide · AbstractDifferentiation.jl</title><meta name="title" content="Implementer guide · AbstractDifferentiation.jl"/><meta property="og:title" content="Implementer guide · AbstractDifferentiation.jl"/><meta property="twitter:title" content="Implementer guide · AbstractDifferentiation.jl"/><meta name="description" content="Documentation for AbstractDifferentiation.jl."/><meta property="og:description" content="Documentation for AbstractDifferentiation.jl."/><meta property="twitter:description" content="Documentation for AbstractDifferentiation.jl."/><meta property="og:url" content="https://JuliaDiff.github.io/AbstractDifferentiation.jl/implementer_guide/"/><meta property="twitter:url" content="https://JuliaDiff.github.io/AbstractDifferentiation.jl/implementer_guide/"/><link rel="canonical" href="https://JuliaDiff.github.io/AbstractDifferentiation.jl/implementer_guide/"/><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../search_index.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../">AbstractDifferentiation.jl</a></span></div><button class="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><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><a class="tocitem" href="../user_guide/">User guide</a></li><li class="is-active"><a class="tocitem" href>Implementer guide</a><ul class="internal"><li><a class="tocitem" href="#The-macro-@primitive"><span>The macro <code>@primitive</code></span></a></li><li><a class="tocitem" href="#Function-dependency-graph"><span>Function dependency graph</span></a></li></ul></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>Implementer guide</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Implementer guide</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/JuliaDiff/AbstractDifferentiation.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/JuliaDiff/AbstractDifferentiation.jl/blob/master/docs/src/implementer_guide.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="Implementer-guide"><a class="docs-heading-anchor" href="#Implementer-guide">Implementer guide</a><a id="Implementer-guide-1"></a><a class="docs-heading-anchor-permalink" href="#Implementer-guide" title="Permalink"></a></h1><div class="admonition is-warning"><header class="admonition-header">Work in progress</header><div class="admonition-body"><p>Come back later!</p></div></div><h2 id="The-macro-@primitive"><a class="docs-heading-anchor" href="#The-macro-@primitive">The macro <code>@primitive</code></a><a id="The-macro-@primitive-1"></a><a class="docs-heading-anchor-permalink" href="#The-macro-@primitive" title="Permalink"></a></h2><p>To implement the <code>AbstractDifferentiation</code> interface for your backend, you only <em>need</em> to provide a &quot;primitive&quot; from which the rest of the functions can be deduced. However, for performance reasons, you <em>can</em> implement more of the interface to make certain calls faster.</p><p>At the moment, the only primitives supported are <code>AD.pushforward_function</code> and <code>AD.value_and_pullback_function</code>. The <code>AD.@primitive</code> macro uses the provided function to implement <code>AD.jacobian</code>, and all the other functions follow.</p><pre><code class="language-julia hljs">AD.@primitive function AD.myprimitive(ab::MyBackend, f, xs...)
# write your code here
end</code></pre><p>See the backend-specific extensions in the <code>ext/</code> folder of the repository for example implementations.</p><h2 id="Function-dependency-graph"><a class="docs-heading-anchor" href="#Function-dependency-graph">Function dependency graph</a><a id="Function-dependency-graph-1"></a><a class="docs-heading-anchor-permalink" href="#Function-dependency-graph" title="Permalink"></a></h2><p>These details are not part of the public API and are expected to change. They are just listed here to help readers figure out the code structure:</p><ul><li><code>jacobian</code> has no default implementation</li><li><code>derivative</code> calls <code>jacobian</code></li><li><code>gradient</code> calls <code>jacobian</code></li><li><code>hessian</code> calls <code>jacobian</code> and <code>gradient</code></li><li><code>value_and_jacobian</code> calls <code>jacobian</code></li><li><code>value_and_derivative</code> calls <code>value_and_jacobian</code></li><li><code>value_and_gradient</code> calls <code>value_and_jacobian</code></li><li><code>value_and_hessian</code> calls <code>jacobian</code> and <code>gradient</code></li><li><code>value_gradient_and_hessian</code> calls <code>value_and_jacobian</code> and <code>gradient</code></li><li><code>pushforward_function</code> calls <code>jacobian</code></li><li><code>value_and_pushforward_function</code> calls <code>pushforward_function</code></li><li><code>pullback_function</code> calls <code>value_and_pullback_function</code></li><li><code>value_and_pullback_function</code> calls <code>gradient</code></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../user_guide/">« User guide</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.1.1 on <span class="colophon-date" title="Friday 13 October 2023 09:23">Friday 13 October 2023</span>. Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
end</code></pre><p>See the backend-specific extensions in the <code>ext/</code> folder of the repository for example implementations.</p><h2 id="Function-dependency-graph"><a class="docs-heading-anchor" href="#Function-dependency-graph">Function dependency graph</a><a id="Function-dependency-graph-1"></a><a class="docs-heading-anchor-permalink" href="#Function-dependency-graph" title="Permalink"></a></h2><p>These details are not part of the public API and are expected to change. They are just listed here to help readers figure out the code structure:</p><ul><li><code>jacobian</code> has no default implementation</li><li><code>derivative</code> calls <code>jacobian</code></li><li><code>gradient</code> calls <code>jacobian</code></li><li><code>hessian</code> calls <code>jacobian</code> and <code>gradient</code></li><li><code>value_and_jacobian</code> calls <code>jacobian</code></li><li><code>value_and_derivative</code> calls <code>value_and_jacobian</code></li><li><code>value_and_gradient</code> calls <code>value_and_jacobian</code></li><li><code>value_and_hessian</code> calls <code>jacobian</code> and <code>gradient</code></li><li><code>value_gradient_and_hessian</code> calls <code>value_and_jacobian</code> and <code>gradient</code></li><li><code>pushforward_function</code> calls <code>jacobian</code></li><li><code>value_and_pushforward_function</code> calls <code>pushforward_function</code></li><li><code>pullback_function</code> calls <code>value_and_pullback_function</code></li><li><code>value_and_pullback_function</code> calls <code>gradient</code></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../user_guide/">« User guide</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.1.1 on <span class="colophon-date" title="Sunday 15 October 2023 17:42">Sunday 15 October 2023</span>. Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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author={Sch{\&quot;a}fer, Frank and Tarek, Mohamed and White, Lyndon and Rackauckas, Chris},
journal={NeurIPS 2021 Differentiable Programming Workshop},
year={2021}
}</code></pre></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="user_guide/">User guide »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.1.1 on <span class="colophon-date" title="Friday 13 October 2023 09:23">Friday 13 October 2023</span>. Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
}</code></pre></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="user_guide/">User guide »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.1.1 on <span class="colophon-date" title="Sunday 15 October 2023 17:42">Sunday 15 October 2023</span>. Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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