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</a><div class="sidebar-elems"><h2 class="location"><a href="index.html">In halo2_gadgets::utilities</a></h2><div id="sidebar-vars" data-name="decompose_word" data-ty="fn" data-relpath=""></div><script defer src="sidebar-items.js"></script></div></nav><main><div class="width-limiter"><div class="sub-container"><a class="sub-logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></a><nav class="sub"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
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<h1 class="fqn"><span class="in-band">Function <a href="../index.html">halo2_gadgets</a>::<wbr><a href="index.html">utilities</a>::<wbr><a class="fn" href="#">decompose_word</a><button id="copy-path" onclick="copy_path(this)" title="Copy item path to clipboard"><img src="../../clipboard.svg" width="19" height="18" alt="Copy item path"></button></span></h1><span class="out-of-band"><a class="srclink" href="../../src/halo2_gadgets/utilities.rs.html#201-221">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">−</span>]</a></span></div><div class="docblock item-decl"><pre class="rust fn"><code>pub fn decompose_word<F: PrimeFieldBits>(<br> word: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>F, <br> word_num_bits: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <br> window_num_bits: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a><br>) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>><span class="notable-traits"><span class="notable-traits-tooltip">ⓘ<span class="notable-traits-tooltiptext"><span class="docblock"><span class="notable">Notable traits for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A></span><code class="content"><span class="where fmt-newline">impl<A> <a class="trait" href="https://doc.rust-lang.org/nightly/std/io/trait.Write.html" title="trait std::io::Write">Write</a> for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A> <span class="where fmt-newline">where<br> A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html" title="trait core::alloc::Allocator">Allocator</a>, </span></span></code></span></span></span></span></code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Decompose a word <code>alpha</code> into <code>window_num_bits</code> bits (little-endian)
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For a window size of <code>w</code>, this returns [k_0, …, k_n] where each <code>k_i</code>
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is a <code>w</code>-bit value, and <code>scalar = k_0 + k_1 * w + k_n * w^n</code>.</p>
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<h2 id="panics"><a href="#panics">Panics</a></h2>
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<p>We are returning a <code>Vec<u8></code> which means the window size is limited to
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<= 8 bits.</p>
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