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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"><meta name="generator" content="rustdoc"><meta name="description" content="A value assigned to a cell within a circuit."><meta name="keywords" content="rust, rustlang, rust-lang, Assigned"><title>Assigned in halo2_proofs::plonk - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-1f7d512b176f0f72.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-124a1ca42af929b6.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-cd23e1e4557aa9dd.css" id="mainThemeStyle"><link rel="stylesheet" id="themeStyle" href="../../static.files/light-a21928845c7a186a.css"><link rel="stylesheet" disabled href="../../static.files/dark-90fc67ff25a42f29.css"><link rel="stylesheet" disabled href="../../static.files/ayu-d75a8bbde915b8ed.css"><script id="default-settings" ></script><script src="../../static.files/storage-d43fa987303ecbbb.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-458bffc4c06ccf37.js"></script><noscript><link rel="stylesheet" href="../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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</head><body class="rustdoc enum"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="sidebar-logo" href="../../halo2_proofs/index.html"><div class="logo-container"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></div></a><h2></h2></nav><nav class="sidebar"><a class="sidebar-logo" href="../../halo2_proofs/index.html"><div class="logo-container"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></div></a><h2 class="location"><a href="#">Assigned</a></h2><div class="sidebar-elems"><section><h3><a href="#variants">Variants</a></h3><ul class="block"><li><a href="#variant.Rational">Rational</a></li><li><a href="#variant.Trivial">Trivial</a></li><li><a href="#variant.Zero">Zero</a></li></ul><h3><a href="#implementations">Methods</a></h3><ul class="block"><li><a href="#method.cube">cube</a></li><li><a href="#method.denominator">denominator</a></li><li><a href="#method.double">double</a></li><li><a href="#method.evaluate">evaluate</a></li><li><a href="#method.invert">invert</a></li><li><a href="#method.is_zero_vartime">is_zero_vartime</a></li><li><a href="#method.numerator">numerator</a></li><li><a href="#method.square">square</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block"><li><a href="#impl-Add%3C%26Assigned%3CF%3E%3E-for-%26Assigned%3CF%3E">Add&lt;&amp;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Add%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E">Add&lt;&amp;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Add%3CAssigned%3CF%3E%3E-for-%26Assigned%3CF%3E">Add&lt;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Add%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E">Add&lt;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Add%3CF%3E-for-%26Assigned%3CF%3E">Add&lt;F&gt;</a></li><li><a href="#impl-Add%3CF%3E-for-Assigned%3CF%3E">Add&lt;F&gt;</a></li><li><a href="#impl-AddAssign%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E">AddAssign&lt;&amp;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-AddAssign%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E">AddAssign&lt;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Clone-for-Assigned%3CF%3E">Clone</a></li><li><a href="#impl-Copy-for-Assigned%3CF%3E">Copy</a></li><li><a href="#impl-Debug-for-Assigned%3CF%3E">Debug</a></li><li><a href="#impl-Eq-for-Assigned%3CF%3E">Eq</a></li><li><a href="#impl-From%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E">From&lt;&amp;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-From%3C%26F%3E-for-Assigned%3CF%3E">From&lt;&amp;F&gt;</a></li><li><a href="#impl-From%3C(F%2C%20F)%3E-for-Assigned%3CF%3E">From&lt;(F, F)&gt;</a></li><li><a href="#impl-From%3CF%3E-for-Assigned%3CF%3E">From&lt;F&gt;</a></li><li><a href="#impl-Mul%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E">Mul&lt;&amp;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Mul%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E">Mul&lt;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Mul%3CF%3E-for-%26Assigned%3CF%3E">Mul&lt;F&gt;</a></li><li><a href="#impl-Mul%3CF%3E-for-Assigned%3CF%3E">Mul&lt;F&gt;</a></li><li><a href="#impl-MulAssign%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E">MulAssign&lt;&amp;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-MulAssign%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E">MulAssign&lt;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Neg-for-%26Assigned%3CF%3E">Neg</a></li><li><a href="#impl-Neg-for-Assigned%3CF%3E">Neg</a></li><li><a href="#impl-PartialEq%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E">PartialEq&lt;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Sub%3C%26Assigned%3CF%3E%3E-for-%26Assigned%3CF%3E">Sub&lt;&amp;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Sub%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E">Sub&lt;&amp;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Sub%3CAssigned%3CF%3E%3E-for-%26Assigned%3CF%3E">Sub&lt;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Sub%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E">Sub&lt;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-Sub%3CF%3E-for-%26Assigned%3CF%3E">Sub&lt;F&gt;</a></li><li><a href="#impl-Sub%3CF%3E-for-Assigned%3CF%3E">Sub&lt;F&gt;</a></li><li><a href="#impl-SubAssign%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E">SubAssign&lt;&amp;Assigned&lt;F&gt;&gt;</a></li><li><a href="#impl-SubAssign%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E">SubAssign&lt;Assigned&lt;F&gt;&gt;</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block"><li><a href="#impl-RefUnwindSafe-for-Assigned%3CF%3E">RefUnwindSafe</a></li><li><a href="#impl-Send-for-Assigned%3CF%3E">Send</a></li><li><a href="#impl-Sync-for-Assigned%3CF%3E">Sync</a></li><li><a href="#impl-Unpin-for-Assigned%3CF%3E">Unpin</a></li><li><a href="#impl-UnwindSafe-for-Assigned%3CF%3E">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block"><li><a href="#impl-Any-for-Assigned%3CF%3E">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-Assigned%3CF%3E">Borrow&lt;T&gt;</a></li><li><a href="#impl-BorrowMut%3CT%3E-for-Assigned%3CF%3E">BorrowMut&lt;T&gt;</a></li><li><a href="#impl-Conv-for-Assigned%3CF%3E">Conv</a></li><li><a href="#impl-FmtForward-for-Assigned%3CF%3E">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-Assigned%3CF%3E">From&lt;T&gt;</a></li><li><a href="#impl-GroupOps%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E">GroupOps&lt;Rhs, Output&gt;</a></li><li><a href="#impl-GroupOpsOwned%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E">GroupOpsOwned&lt;Rhs, Output&gt;</a></li><li><a href="#impl-Instrument-for-Assigned%3CF%3E">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-Assigned%3CF%3E">Into&lt;U&gt;</a></li><li><a href="#impl-Pipe-for-Assigned%3CF%3E">Pipe</a></li><li><a href="#impl-Pointable-for-Assigned%3CF%3E">Pointable</a></li><li><a href="#impl-ScalarMul%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E">ScalarMul&lt;Rhs, Output&gt;</a></li><li><a href="#impl-ScalarMulOwned%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E">ScalarMulOwned&lt;Rhs, Output&gt;</a></li><li><a href="#impl-Tap-for-Assigned%3CF%3E">Tap</a></li><li><a href="#impl-ToOwned-for-Assigned%3CF%3E">ToOwned</a></li><li><a href="#impl-TryConv-for-Assigned%3CF%3E">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-Assigned%3CF%3E">TryFrom&lt;U&gt;</a></li><li><a href="#impl-TryInto%3CU%3E-for-Assigned%3CF%3E">TryInto&lt;U&gt;</a></li><li><a href="#impl-VZip%3CV%3E-for-Assigned%3CF%3E">VZip&lt;V&gt;</a></li><li><a href="#impl-WithSubscriber-for-Assigned%3CF%3E">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_proofs::plonk</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press S to search, ? for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-5ec35bf9ca753509.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1 class="fqn">Enum <a href="../index.html">halo2_proofs</a>::<wbr><a href="index.html">plonk</a>::<wbr><a class="enum" href="#">Assigned</a><button id="copy-path" onclick="copy_path(this)" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../src/halo2_proofs/plonk/assigned.rs.html#11-18">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><div class="item-decl"><pre class="rust enum"><code>pub enum Assigned&lt;F&gt; {
Zero,
Trivial(F),
Rational(F,&nbsp;F),
}</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A value assigned to a cell within a circuit.</p>
<p>Stored as a fraction, so the backend can use batch inversion.</p>
<p>A denominator of zero maps to an assigned value of zero.</p>
</div></details><h2 id="variants" class="variants small-section-header">Variants<a href="#variants" class="anchor"></a></h2><div class="variants"><section id="variant.Zero" class="variant"><a href="#variant.Zero" class="anchor"></a><h3 class="code-header">Zero</h3></section><div class="docblock"><p>The field element zero.</p>
</div><section id="variant.Trivial" class="variant"><a href="#variant.Trivial" class="anchor"></a><h3 class="code-header">Trivial(F)</h3></section><div class="docblock"><p>A value that does not require inversion to evaluate.</p>
</div><section id="variant.Rational" class="variant"><a href="#variant.Rational" class="anchor"></a><h3 class="code-header">Rational(F,&nbsp;F)</h3></section><div class="docblock"><p>A value stored as a fraction to enable batch inversion.</p>
</div></div><h2 id="implementations" class="small-section-header">Implementations<a href="#implementations" class="anchor"></a></h2><div id="implementations-list"><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#279-366">source</a><a href="#impl-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.numerator" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#281-287">source</a><h4 class="code-header">pub fn <a href="#method.numerator" class="fnname">numerator</a>(&amp;self) -&gt; F</h4></section></summary><div class="docblock"><p>Returns the numerator.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.denominator" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#290-296">source</a><h4 class="code-header">pub fn <a href="#method.denominator" class="fnname">denominator</a>(&amp;self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;F&gt;</h4></section></summary><div class="docblock"><p>Returns the denominator, if non-trivial.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.is_zero_vartime" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#299-308">source</a><h4 class="code-header">pub fn <a href="#method.is_zero_vartime" class="fnname">is_zero_vartime</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class="docblock"><p>Returns true iff this element is zero.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.double" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#312-320">source</a><h4 class="code-header">pub fn <a href="#method.double" class="fnname">double</a>(&amp;self) -&gt; Self</h4></section></summary><div class="docblock"><p>Doubles this element.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.square" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#324-332">source</a><h4 class="code-header">pub fn <a href="#method.square" class="fnname">square</a>(&amp;self) -&gt; Self</h4></section></summary><div class="docblock"><p>Squares this element.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.cube" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#336-338">source</a><h4 class="code-header">pub fn <a href="#method.cube" class="fnname">cube</a>(&amp;self) -&gt; Self</h4></section></summary><div class="docblock"><p>Cubes this element.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.invert" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#341-347">source</a><h4 class="code-header">pub fn <a href="#method.invert" class="fnname">invert</a>(&amp;self) -&gt; Self</h4></section></summary><div class="docblock"><p>Inverts this assigned value (taking the inverse of zero to be zero).</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.evaluate" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#353-365">source</a><h4 class="code-header">pub fn <a href="#method.evaluate" class="fnname">evaluate</a>(self) -&gt; F</h4></section></summary><div class="docblock"><p>Evaluates this assigned value directly, performing an unbatched inversion if
necessary.</p>
<p>If the denominator is zero, this returns zero.</p>
</div></details></div></details></div><h2 id="trait-implementations" class="small-section-header">Trait Implementations<a href="#trait-implementations" class="anchor"></a></h2><div id="trait-implementations-list"><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Add%3C%26Assigned%3CF%3E%3E-for-%26Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#152-157">source</a><a href="#impl-Add%3C%26Assigned%3CF%3E%3E-for-%26Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a>&lt;&amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-7" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-7" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>+</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add-5" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#154-156">source</a><a href="#method.add-5" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add" class="fnname">add</a>(self, rhs: &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>+</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Add%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#138-143">source</a><a href="#impl-Add%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a>&lt;&amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-5" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-5" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>+</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add-3" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#140-142">source</a><a href="#method.add-3" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add" class="fnname">add</a>(self, rhs: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>+</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Add%3CAssigned%3CF%3E%3E-for-%26Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#145-150">source</a><a href="#impl-Add%3CAssigned%3CF%3E%3E-for-%26Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a>&lt;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-6" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-6" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>+</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add-4" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#147-149">source</a><a href="#method.add-4" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add" class="fnname">add</a>(self, rhs: <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>+</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Add%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#92-122">source</a><a href="#impl-Add%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a>&lt;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-2" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-2" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>+</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#94-121">source</a><a href="#method.add" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add" class="fnname">add</a>(self, rhs: <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>+</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Add%3CF%3E-for-%26Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#131-136">source</a><a href="#impl-Add%3CF%3E-for-%26Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a>&lt;F&gt; for &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-4" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-4" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>+</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add-2" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#133-135">source</a><a href="#method.add-2" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add" class="fnname">add</a>(self, rhs: F) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>+</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Add%3CF%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#124-129">source</a><a href="#impl-Add%3CF%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a>&lt;F&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-3" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-3" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>+</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add-1" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#126-128">source</a><a href="#method.add-1" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add" class="fnname">add</a>(self, rhs: F) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>+</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-AddAssign%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#165-169">source</a><a href="#impl-AddAssign%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.AddAssign.html" title="trait core::ops::arith::AddAssign">AddAssign</a>&lt;&amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add_assign-1" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#166-168">source</a><a href="#method.add_assign-1" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.AddAssign.html#tymethod.add_assign" class="fnname">add_assign</a>(&amp;mut self, rhs: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</h4></section></summary><div class='docblock'>Performs the <code>+=</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.AddAssign.html#tymethod.add_assign">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-AddAssign%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#159-163">source</a><a href="#impl-AddAssign%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.AddAssign.html" title="trait core::ops::arith::AddAssign">AddAssign</a>&lt;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add_assign" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#160-162">source</a><a href="#method.add_assign" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.AddAssign.html#tymethod.add_assign" class="fnname">add_assign</a>(&amp;mut self, rhs: Self)</h4></section></summary><div class='docblock'>Performs the <code>+=</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.AddAssign.html#tymethod.add_assign">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Clone-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#10">source</a><a href="#impl-Clone-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#10">source</a><a href="#method.clone" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fnname">clone</a>(&amp;self) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#132-134">source</a></span><a href="#method.clone_from" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fnname">clone_from</a>(&amp;mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Debug-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#10">source</a><a href="#impl-Debug-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#10">source</a><a href="#method.fmt" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fnname">fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>&lt;'_&gt;) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-From%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#20-24">source</a><a href="#impl-From%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;&amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.from" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#21-23">source</a><a href="#method.from" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fnname">from</a>(val: &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;) -&gt; Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-From%3C%26F%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#26-30">source</a><a href="#impl-From%3C%26F%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>F&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#27-29">source</a><a href="#method.from-1" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fnname">from</a>(numerator: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>F) -&gt; Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-From%3C(F%2C%20F)%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#38-42">source</a><a href="#impl-From%3C(F%2C%20F)%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(F, F)</a>&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.from-3" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#39-41">source</a><a href="#method.from-3" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fnname">from</a>((numerator, denominator): <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(F, F)</a>) -&gt; Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-From%3CF%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#32-36">source</a><a href="#impl-From%3CF%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;F&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.from-2" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#33-35">source</a><a href="#method.from-2" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fnname">from</a>(numerator: F) -&gt; Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Mul%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#260-265">source</a><a href="#impl-Mul%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a>&lt;&amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-17" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-17" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>*</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul-3" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#262-264">source</a><a href="#method.mul-3" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul" class="fnname">mul</a>(self, rhs: &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>*</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Mul%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#225-244">source</a><a href="#impl-Mul%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a>&lt;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-14" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-14" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>*</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#227-243">source</a><a href="#method.mul" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul" class="fnname">mul</a>(self, rhs: <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>*</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Mul%3CF%3E-for-%26Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#253-258">source</a><a href="#impl-Mul%3CF%3E-for-%26Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a>&lt;F&gt; for &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-16" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-16" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>*</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul-2" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#255-257">source</a><a href="#method.mul-2" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul" class="fnname">mul</a>(self, rhs: F) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>*</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Mul%3CF%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#246-251">source</a><a href="#impl-Mul%3CF%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a>&lt;F&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-15" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-15" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>*</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul-1" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#248-250">source</a><a href="#method.mul-1" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul" class="fnname">mul</a>(self, rhs: F) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>*</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-MulAssign%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#273-277">source</a><a href="#impl-MulAssign%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.MulAssign.html" title="trait core::ops::arith::MulAssign">MulAssign</a>&lt;&amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul_assign-1" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#274-276">source</a><a href="#method.mul_assign-1" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.MulAssign.html#tymethod.mul_assign" class="fnname">mul_assign</a>(&amp;mut self, rhs: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</h4></section></summary><div class='docblock'>Performs the <code>*=</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.MulAssign.html#tymethod.mul_assign">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-MulAssign%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#267-271">source</a><a href="#impl-MulAssign%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.MulAssign.html" title="trait core::ops::arith::MulAssign">MulAssign</a>&lt;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul_assign" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#268-270">source</a><a href="#method.mul_assign" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.MulAssign.html#tymethod.mul_assign" class="fnname">mul_assign</a>(&amp;mut self, rhs: Self)</h4></section></summary><div class='docblock'>Performs the <code>*=</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.MulAssign.html#tymethod.mul_assign">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Neg-for-%26Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#85-90">source</a><a href="#impl-Neg-for-%26Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html" title="trait core::ops::arith::Neg">Neg</a> for &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-1" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-1" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.neg-1" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#87-89">source</a><a href="#method.neg-1" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#tymethod.neg" class="fnname">neg</a>(self) -&gt; Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#associatedtype.Output" title="type core::ops::arith::Neg::Output">Output</a></h4></section></summary><div class='docblock'>Performs the unary <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#tymethod.neg">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Neg-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#74-83">source</a><a href="#impl-Neg-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html" title="trait core::ops::arith::Neg">Neg</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.neg" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#76-82">source</a><a href="#method.neg" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#tymethod.neg" class="fnname">neg</a>(self) -&gt; Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#associatedtype.Output" title="type core::ops::arith::Neg::Output">Output</a></h4></section></summary><div class='docblock'>Performs the unary <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#tymethod.neg">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-PartialEq%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#44-70">source</a><a href="#impl-PartialEq%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>&lt;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#45-69">source</a><a href="#method.eq" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fnname">eq</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq">Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#228">source</a></span><a href="#method.ne" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fnname">ne</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Rhs) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
sufficient, and should not be overridden without very good reason. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Sub%3C%26Assigned%3CF%3E%3E-for-%26Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#206-211">source</a><a href="#impl-Sub%3C%26Assigned%3CF%3E%3E-for-%26Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html" title="trait core::ops::arith::Sub">Sub</a>&lt;&amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-13" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-13" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.sub-5" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#208-210">source</a><a href="#method.sub-5" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub" class="fnname">sub</a>(self, rhs: &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Sub%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#192-197">source</a><a href="#impl-Sub%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html" title="trait core::ops::arith::Sub">Sub</a>&lt;&amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-11" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-11" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.sub-3" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#194-196">source</a><a href="#method.sub-3" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub" class="fnname">sub</a>(self, rhs: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Sub%3CAssigned%3CF%3E%3E-for-%26Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#199-204">source</a><a href="#impl-Sub%3CAssigned%3CF%3E%3E-for-%26Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html" title="trait core::ops::arith::Sub">Sub</a>&lt;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-12" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-12" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.sub-4" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#201-203">source</a><a href="#method.sub-4" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub" class="fnname">sub</a>(self, rhs: <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Sub%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#171-176">source</a><a href="#impl-Sub%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html" title="trait core::ops::arith::Sub">Sub</a>&lt;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-8" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-8" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.sub" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#173-175">source</a><a href="#method.sub" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub" class="fnname">sub</a>(self, rhs: <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Sub%3CF%3E-for-%26Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#185-190">source</a><a href="#impl-Sub%3CF%3E-for-%26Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html" title="trait core::ops::arith::Sub">Sub</a>&lt;F&gt; for &amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-10" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-10" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.sub-2" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#187-189">source</a><a href="#method.sub-2" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub" class="fnname">sub</a>(self, rhs: F) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Sub%3CF%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#178-183">source</a><a href="#impl-Sub%3CF%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html" title="trait core::ops::arith::Sub">Sub</a>&lt;F&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Output-9" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-9" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.sub-1" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#180-182">source</a><a href="#method.sub-1" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub" class="fnname">sub</a>(self, rhs: F) -&gt; <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h4></section></summary><div class='docblock'>Performs the <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-SubAssign%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#219-223">source</a><a href="#impl-SubAssign%3C%26Assigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.SubAssign.html" title="trait core::ops::arith::SubAssign">SubAssign</a>&lt;&amp;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.sub_assign-1" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#220-222">source</a><a href="#method.sub_assign-1" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.SubAssign.html#tymethod.sub_assign" class="fnname">sub_assign</a>(&amp;mut self, rhs: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</h4></section></summary><div class='docblock'>Performs the <code>-=</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.SubAssign.html#tymethod.sub_assign">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-SubAssign%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#213-217">source</a><a href="#impl-SubAssign%3CAssigned%3CF%3E%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.SubAssign.html" title="trait core::ops::arith::SubAssign">SubAssign</a>&lt;<a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;&gt; for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.sub_assign" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#214-216">source</a><a href="#method.sub_assign" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.SubAssign.html#tymethod.sub_assign" class="fnname">sub_assign</a>(&amp;mut self, rhs: Self)</h4></section></summary><div class='docblock'>Performs the <code>-=</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.SubAssign.html#tymethod.sub_assign">Read more</a></div></details></div></details><section id="impl-Copy-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#10">source</a><a href="#impl-Copy-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section><section id="impl-Eq-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/plonk/assigned.rs.html#72">source</a><a href="#impl-Eq-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F:&nbsp;<a class="trait" href="../arithmetic/trait.Field.html" title="trait halo2_proofs::arithmetic::Field">Field</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;</h3></section></div><h2 id="synthetic-implementations" class="small-section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor"></a></h2><div id="synthetic-implementations-list"><section id="impl-RefUnwindSafe-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-RefUnwindSafe-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a>,</span></h3></section><section id="impl-Send-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-Send-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a>,</span></h3></section><section id="impl-Sync-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-Sync-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a>,</span></h3></section><section id="impl-Unpin-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-Unpin-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a>,</span></h3></section><section id="impl-UnwindSafe-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-UnwindSafe-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;F&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="enum" href="enum.Assigned.html" title="enum halo2_proofs::plonk::Assigned">Assigned</a>&lt;F&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a>,</span></h3></section></div><h2 id="blanket-implementations" class="small-section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor"></a></h2><div id="blanket-implementations-list"><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Any-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#200">source</a><a href="#impl-Any-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.type_id" class="method trait-impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#201">source</a><a href="#method.type_id" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id" class="fnname">type_id</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></h4></section></summary><div class='docblock'>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Borrow%3CT%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#211">source</a><a href="#impl-Borrow%3CT%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;T&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#213">source</a></span><a href="#method.borrow" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow" class="fnname">borrow</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T</h4></section></summary><div class='docblock'>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-BorrowMut%3CT%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#220">source</a><a href="#impl-BorrowMut%3CT%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;T&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow_mut" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#221">source</a></span><a href="#method.borrow_mut" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut" class="fnname">borrow_mut</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T</h4></section></summary><div class='docblock'>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Conv-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-Conv-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; Conv for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.conv" class="method trait-impl has-srclink"><a href="#method.conv" class="anchor"></a><h4 class="code-header">fn <a class="fnname">conv</a>&lt;T&gt;(self) -&gt; T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;T&gt;,</span></h4></section></summary><div class='docblock'>Converts <code>self</code> into <code>T</code> using <code>Into&lt;T&gt;</code>. <a>Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-FmtForward-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-FmtForward-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; FmtForward for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_binary" class="method trait-impl has-srclink"><a href="#method.fmt_binary" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_binary</a>(self) -&gt; FmtBinary&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Binary.html" title="trait core::fmt::Binary">Binary</a>,</span></h4></section></summary><div class='docblock'>Causes <code>self</code> to use its <code>Binary</code> implementation when <code>Debug</code>-formatted.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_display" class="method trait-impl has-srclink"><a href="#method.fmt_display" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_display</a>(self) -&gt; FmtDisplay&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html" title="trait core::fmt::Display">Display</a>,</span></h4></section></summary><div class='docblock'>Causes <code>self</code> to use its <code>Display</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_lower_exp" class="method trait-impl has-srclink"><a href="#method.fmt_lower_exp" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_lower_exp</a>(self) -&gt; FmtLowerExp&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.LowerExp.html" title="trait core::fmt::LowerExp">LowerExp</a>,</span></h4></section></summary><div class='docblock'>Causes <code>self</code> to use its <code>LowerExp</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_lower_hex" class="method trait-impl has-srclink"><a href="#method.fmt_lower_hex" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_lower_hex</a>(self) -&gt; FmtLowerHex&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.LowerHex.html" title="trait core::fmt::LowerHex">LowerHex</a>,</span></h4></section></summary><div class='docblock'>Causes <code>self</code> to use its <code>LowerHex</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_octal" class="method trait-impl has-srclink"><a href="#method.fmt_octal" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_octal</a>(self) -&gt; FmtOctal&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Octal.html" title="trait core::fmt::Octal">Octal</a>,</span></h4></section></summary><div class='docblock'>Causes <code>self</code> to use its <code>Octal</code> implementation when <code>Debug</code>-formatted.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_pointer" class="method trait-impl has-srclink"><a href="#method.fmt_pointer" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_pointer</a>(self) -&gt; FmtPointer&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Pointer.html" title="trait core::fmt::Pointer">Pointer</a>,</span></h4></section></summary><div class='docblock'>Causes <code>self</code> to use its <code>Pointer</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_upper_exp" class="method trait-impl has-srclink"><a href="#method.fmt_upper_exp" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_upper_exp</a>(self) -&gt; FmtUpperExp&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.UpperExp.html" title="trait core::fmt::UpperExp">UpperExp</a>,</span></h4></section></summary><div class='docblock'>Causes <code>self</code> to use its <code>UpperExp</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_upper_hex" class="method trait-impl has-srclink"><a href="#method.fmt_upper_hex" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_upper_hex</a>(self) -&gt; FmtUpperHex&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.UpperHex.html" title="trait core::fmt::UpperHex">UpperHex</a>,</span></h4></section></summary><div class='docblock'>Causes <code>self</code> to use its <code>UpperHex</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_list" class="method trait-impl has-srclink"><a href="#method.fmt_list" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_list</a>(self) -&gt; FmtList&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>Self: for&lt;'a&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/collect/trait.IntoIterator.html" title="trait core::iter::traits::collect::IntoIterator">IntoIterator</a>,</span></h4></section></summary><div class='docblock'>Formats each item in a sequence. <a>Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-From%3CT%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#733">source</a><a href="#impl-From%3CT%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;T&gt; for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.from-4" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/88674" title="Tracking issue for const_convert">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#736">source</a></span><a href="#method.from-4" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fnname">from</a>(t: T) -&gt; T</h4></section></summary><div class="docblock"><p>Returns the argument unchanged.</p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Instrument-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://docs.rs/tracing/0.1.37/src/tracing/instrument.rs.html#276">source</a><a href="#impl-Instrument-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; <a class="trait" href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.Instrument.html" title="trait tracing::instrument::Instrument">Instrument</a> for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.instrument" class="method trait-impl has-srclink"><a class="srclink rightside" href="https://docs.rs/tracing/0.1.37/src/tracing/instrument.rs.html#82">source</a><a href="#method.instrument" class="anchor"></a><h4 class="code-header">fn <a href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.Instrument.html#method.instrument" class="fnname">instrument</a>(self, span: <a class="struct" href="https://docs.rs/tracing/0.1.37/tracing/span/struct.Span.html" title="struct tracing::span::Span">Span</a>) -&gt; <a class="struct" href="https://docs.rs/tracing/0.1.37/tracing/instrument/struct.Instrumented.html" title="struct tracing::instrument::Instrumented">Instrumented</a>&lt;Self&gt;</h4></section></summary><div class='docblock'>Instruments this type with the provided <a href="https://docs.rs/tracing/0.1.37/tracing/span/struct.Span.html" title="Span"><code>Span</code></a>, returning an
<code>Instrumented</code> wrapper. <a href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.Instrument.html#method.instrument">Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.in_current_span" class="method trait-impl has-srclink"><a class="srclink rightside" href="https://docs.rs/tracing/0.1.37/src/tracing/instrument.rs.html#121">source</a><a href="#method.in_current_span" class="anchor"></a><h4 class="code-header">fn <a href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.Instrument.html#method.in_current_span" class="fnname">in_current_span</a>(self) -&gt; <a class="struct" href="https://docs.rs/tracing/0.1.37/tracing/instrument/struct.Instrumented.html" title="struct tracing::instrument::Instrumented">Instrumented</a>&lt;Self&gt;</h4></section></summary><div class='docblock'>Instruments this type with the <a href="https://docs.rs/tracing/0.1.37/tracing/span/struct.Span.html#method.current">current</a> <a href="https://docs.rs/tracing/0.1.37/tracing/span/struct.Span.html"><code>Span</code></a>, returning an
<code>Instrumented</code> wrapper. <a href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.Instrument.html#method.in_current_span">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Into%3CU%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#717">source</a><a href="#impl-Into%3CU%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;U&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;T&gt;,</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.into" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/88674" title="Tracking issue for const_convert">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#725">source</a></span><a href="#method.into" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html#tymethod.into" class="fnname">into</a>(self) -&gt; U</h4></section></summary><div class="docblock"><p>Calls <code>U::from(self)</code>.</p>
<p>That is, this conversion is whatever the implementation of
<code><a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="From">From</a>&lt;T&gt; for U</code> chooses to do.</p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Pipe-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-Pipe-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; Pipe for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe" class="method trait-impl has-srclink"><a href="#method.pipe" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(Self) -&gt; R) -&gt; R<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Pipes by value. This is generally the method you want to use. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_ref" class="method trait-impl has-srclink"><a href="#method.pipe_ref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_ref</a>&lt;'a, R&gt;(&amp;'a self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>Self) -&gt; R) -&gt; R<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,</span></h4></section></summary><div class='docblock'>Borrows <code>self</code> and passes that borrow into the pipe function. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_ref_mut" class="method trait-impl has-srclink"><a href="#method.pipe_ref_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_ref_mut</a>&lt;'a, R&gt;(&amp;'a mut self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>Self) -&gt; R) -&gt; R<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,</span></h4></section></summary><div class='docblock'>Mutably borrows <code>self</code> and passes that borrow into the pipe function. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_borrow" class="method trait-impl has-srclink"><a href="#method.pipe_borrow" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_borrow</a>&lt;'a, B, R&gt;(&amp;'a self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>B) -&gt; R) -&gt; R<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,</span></h4></section></summary><div class='docblock'>Borrows <code>self</code>, then passes <code>self.borrow()</code> into the pipe function. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_borrow_mut" class="method trait-impl has-srclink"><a href="#method.pipe_borrow_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_borrow_mut</a>&lt;'a, B, R&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;'a mut self,<br>&nbsp;&nbsp;&nbsp;&nbsp;func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>B) -&gt; R<br>) -&gt; R<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,</span></h4></section></summary><div class='docblock'>Mutably borrows <code>self</code>, then passes <code>self.borrow_mut()</code> into the pipe
function. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_as_ref" class="method trait-impl has-srclink"><a href="#method.pipe_as_ref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_as_ref</a>&lt;'a, U, R&gt;(&amp;'a self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>U) -&gt; R) -&gt; R<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html" title="trait core::convert::AsRef">AsRef</a>&lt;U&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;U: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,</span></h4></section></summary><div class='docblock'>Borrows <code>self</code>, then passes <code>self.as_ref()</code> into the pipe function.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_as_mut" class="method trait-impl has-srclink"><a href="#method.pipe_as_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_as_mut</a>&lt;'a, U, R&gt;(&amp;'a mut self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>U) -&gt; R) -&gt; R<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsMut.html" title="trait core::convert::AsMut">AsMut</a>&lt;U&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;U: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,</span></h4></section></summary><div class='docblock'>Mutably borrows <code>self</code>, then passes <code>self.as_mut()</code> into the pipe
function. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_deref" class="method trait-impl has-srclink"><a href="#method.pipe_deref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_deref</a>&lt;'a, T, R&gt;(&amp;'a self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>T) -&gt; R) -&gt; R<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>&lt;Target = T&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,</span></h4></section></summary><div class='docblock'>Borrows <code>self</code>, then passes <code>self.deref()</code> into the pipe function.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_deref_mut" class="method trait-impl has-srclink"><a href="#method.pipe_deref_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_deref_mut</a>&lt;'a, T, R&gt;(&amp;'a mut self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>T) -&gt; R) -&gt; R<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.DerefMut.html" title="trait core::ops::deref::DerefMut">DerefMut</a>&lt;Target = T&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,</span></h4></section></summary><div class='docblock'>Mutably borrows <code>self</code>, then passes <code>self.deref_mut()</code> into the pipe
function. <a>Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Pointable-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-Pointable-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; Pointable for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedconstant.ALIGN" class="associatedconstant trait-impl has-srclink"><a href="#associatedconstant.ALIGN" class="anchor"></a><h4 class="code-header">const <a class="constant">ALIGN</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = mem::align_of::&lt;T&gt;()</h4></section></summary><div class='docblock'>The alignment of pointer.</div></details><details class="rustdoc-toggle" open><summary><section id="associatedtype.Init" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Init" class="anchor"></a><h4 class="code-header">type <a class="associatedtype">Init</a> = T</h4></section></summary><div class='docblock'>The type for initializers.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.init" class="method trait-impl has-srclink"><a href="#method.init" class="anchor"></a><h4 class="code-header">unsafe fn <a class="fnname">init</a>(init: &lt;T as Pointable&gt;::Init) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class='docblock'>Initializes a with the given initializer. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.deref" class="method trait-impl has-srclink"><a href="#method.deref" class="anchor"></a><h4 class="code-header">unsafe fn <a class="fnname">deref</a>&lt;'a&gt;(ptr: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>T</h4></section></summary><div class='docblock'>Dereferences the given pointer. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.deref_mut" class="method trait-impl has-srclink"><a href="#method.deref_mut" class="anchor"></a><h4 class="code-header">unsafe fn <a class="fnname">deref_mut</a>&lt;'a&gt;(ptr: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>T</h4></section></summary><div class='docblock'>Mutably dereferences the given pointer. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.drop" class="method trait-impl has-srclink"><a href="#method.drop" class="anchor"></a><h4 class="code-header">unsafe fn <a class="fnname">drop</a>(ptr: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</h4></section></summary><div class='docblock'>Drops the object pointed to by the given pointer. <a>Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Tap-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-Tap-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; Tap for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap" class="method trait-impl has-srclink"><a href="#method.tap" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap</a>(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)) -&gt; Self</h4></section></summary><div class='docblock'>Immutable access to a value. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_mut" class="method trait-impl has-srclink"><a href="#method.tap_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_mut</a>(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>Self)) -&gt; Self</h4></section></summary><div class='docblock'>Mutable access to a value. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_borrow" class="method trait-impl has-srclink"><a href="#method.tap_borrow" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_borrow</a>&lt;B&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>B)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Immutable access to the <code>Borrow&lt;B&gt;</code> of a value. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_borrow_mut" class="method trait-impl has-srclink"><a href="#method.tap_borrow_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_borrow_mut</a>&lt;B&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>B)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Mutable access to the <code>BorrowMut&lt;B&gt;</code> of a value. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_ref" class="method trait-impl has-srclink"><a href="#method.tap_ref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_ref</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>R)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html" title="trait core::convert::AsRef">AsRef</a>&lt;R&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Immutable access to the <code>AsRef&lt;R&gt;</code> view of a value. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_ref_mut" class="method trait-impl has-srclink"><a href="#method.tap_ref_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_ref_mut</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>R)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsMut.html" title="trait core::convert::AsMut">AsMut</a>&lt;R&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Mutable access to the <code>AsMut&lt;R&gt;</code> view of a value. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_deref" class="method trait-impl has-srclink"><a href="#method.tap_deref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_deref</a>&lt;T&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>&lt;Target = T&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Immutable access to the <code>Deref::Target</code> of a value. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_deref_mut" class="method trait-impl has-srclink"><a href="#method.tap_deref_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_deref_mut</a>&lt;T&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.DerefMut.html" title="trait core::ops::deref::DerefMut">DerefMut</a>&lt;Target = T&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Mutable access to the <code>Deref::Target</code> of a value. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_dbg" class="method trait-impl has-srclink"><a href="#method.tap_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_dbg</a>(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)) -&gt; Self</h4></section></summary><div class='docblock'>Calls <code>.tap()</code> only in debug builds, and is erased in release builds.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_mut_dbg" class="method trait-impl has-srclink"><a href="#method.tap_mut_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_mut_dbg</a>(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>Self)) -&gt; Self</h4></section></summary><div class='docblock'>Calls <code>.tap_mut()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_borrow_dbg" class="method trait-impl has-srclink"><a href="#method.tap_borrow_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_borrow_dbg</a>&lt;B&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>B)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Calls <code>.tap_borrow()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_borrow_mut_dbg" class="method trait-impl has-srclink"><a href="#method.tap_borrow_mut_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_borrow_mut_dbg</a>&lt;B&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>B)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Calls <code>.tap_borrow_mut()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_ref_dbg" class="method trait-impl has-srclink"><a href="#method.tap_ref_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_ref_dbg</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>R)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html" title="trait core::convert::AsRef">AsRef</a>&lt;R&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Calls <code>.tap_ref()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_ref_mut_dbg" class="method trait-impl has-srclink"><a href="#method.tap_ref_mut_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_ref_mut_dbg</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>R)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsMut.html" title="trait core::convert::AsMut">AsMut</a>&lt;R&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Calls <code>.tap_ref_mut()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_deref_dbg" class="method trait-impl has-srclink"><a href="#method.tap_deref_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_deref_dbg</a>&lt;T&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>&lt;Target = T&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Calls <code>.tap_deref()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_deref_mut_dbg" class="method trait-impl has-srclink"><a href="#method.tap_deref_mut_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_deref_mut_dbg</a>&lt;T&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T)) -&gt; Self<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.DerefMut.html" title="trait core::ops::deref::DerefMut">DerefMut</a>&lt;Target = T&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</span></h4></section></summary><div class='docblock'>Calls <code>.tap_deref_mut()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-ToOwned-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#82">source</a><a href="#impl-ToOwned-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html" title="trait alloc::borrow::ToOwned">ToOwned</a> for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Owned" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Owned" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#associatedtype.Owned" class="associatedtype">Owned</a> = T</h4></section></summary><div class='docblock'>The resulting type after obtaining ownership.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.to_owned" class="method trait-impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#87">source</a><a href="#method.to_owned" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#tymethod.to_owned" class="fnname">to_owned</a>(&amp;self) -&gt; T</h4></section></summary><div class='docblock'>Creates owned data from borrowed data, usually by cloning. <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#tymethod.to_owned">Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.clone_into" class="method trait-impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#91">source</a><a href="#method.clone_into" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#method.clone_into" class="fnname">clone_into</a>(&amp;self, target: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T)</h4></section></summary><div class='docblock'>Uses borrowed data to replace owned data, usually by cloning. <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#method.clone_into">Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-TryConv-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-TryConv-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; TryConv for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.try_conv" class="method trait-impl has-srclink"><a href="#method.try_conv" class="anchor"></a><h4 class="code-header">fn <a class="fnname">try_conv</a>&lt;T&gt;(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;T, Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#associatedtype.Error" title="type core::convert::TryInto::Error">Error</a>&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html" title="trait core::convert::TryInto">TryInto</a>&lt;T&gt;,</span></h4></section></summary><div class='docblock'>Attempts to convert <code>self</code> into <code>T</code> using <code>TryInto&lt;T&gt;</code>. <a>Read more</a></div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-TryFrom%3CU%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#775">source</a><a href="#impl-TryFrom%3CU%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;T&gt;,</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Error" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Error" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" class="associatedtype">Error</a> = <a class="enum" href="https://doc.rust-lang.org/nightly/core/convert/enum.Infallible.html" title="enum core::convert::Infallible">Infallible</a></h4></section></summary><div class='docblock'>The type returned in the event of a conversion error.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.try_from" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/88674" title="Tracking issue for const_convert">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#781">source</a></span><a href="#method.try_from" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from" class="fnname">try_from</a>(value: U) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;T, &lt;T as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt;&gt;::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</h4></section></summary><div class='docblock'>Performs the conversion.</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-TryInto%3CU%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#760">source</a><a href="#impl-TryInto%3CU%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html" title="trait core::convert::TryInto">TryInto</a>&lt;U&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;,</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Error-1" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Error-1" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#associatedtype.Error" class="associatedtype">Error</a> = &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a></h4></section></summary><div class='docblock'>The type returned in the event of a conversion error.</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.try_into" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/88674" title="Tracking issue for const_convert">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#766">source</a></span><a href="#method.try_into" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#tymethod.try_into" class="fnname">try_into</a>(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;U, &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</h4></section></summary><div class='docblock'>Performs the conversion.</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-VZip%3CV%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-VZip%3CV%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;V, T&gt; VZip&lt;V&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;V: MultiLane&lt;T&gt;,</span></h3></section></summary><div class="impl-items"><section id="method.vzip" class="method trait-impl has-srclink"><a href="#method.vzip" class="anchor"></a><h4 class="code-header">fn <a class="fnname">vzip</a>(self) -&gt; V</h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-WithSubscriber-for-Assigned%3CF%3E" class="impl has-srclink"><a class="srclink rightside" href="https://docs.rs/tracing/0.1.37/src/tracing/instrument.rs.html#334">source</a><a href="#impl-WithSubscriber-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; <a class="trait" href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.WithSubscriber.html" title="trait tracing::instrument::WithSubscriber">WithSubscriber</a> for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.with_subscriber" class="method trait-impl has-srclink"><a class="srclink rightside" href="https://docs.rs/tracing/0.1.37/src/tracing/instrument.rs.html#169-171">source</a><a href="#method.with_subscriber" class="anchor"></a><h4 class="code-header">fn <a href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.WithSubscriber.html#method.with_subscriber" class="fnname">with_subscriber</a>&lt;S&gt;(self, subscriber: S) -&gt; <a class="struct" href="https://docs.rs/tracing/0.1.37/tracing/instrument/struct.WithDispatch.html" title="struct tracing::instrument::WithDispatch">WithDispatch</a>&lt;Self&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;S: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;<a class="struct" href="https://docs.rs/tracing-core/0.1.22/tracing_core/dispatcher/struct.Dispatch.html" title="struct tracing_core::dispatcher::Dispatch">Dispatch</a>&gt;,</span></h4></section></summary><div class='docblock'>Attaches the provided <a href="https://docs.rs/tracing-core/0.1.22/tracing_core/subscriber/trait.Subscriber.html"><code>Subscriber</code></a> to this type, returning a
<a href="https://docs.rs/tracing/0.1.37/tracing/instrument/struct.WithDispatch.html" title="WithDispatch"><code>WithDispatch</code></a> wrapper. <a href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.WithSubscriber.html#method.with_subscriber">Read more</a></div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.with_current_subscriber" class="method trait-impl has-srclink"><a class="srclink rightside" href="https://docs.rs/tracing/0.1.37/src/tracing/instrument.rs.html#221">source</a><a href="#method.with_current_subscriber" class="anchor"></a><h4 class="code-header">fn <a href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.WithSubscriber.html#method.with_current_subscriber" class="fnname">with_current_subscriber</a>(self) -&gt; <a class="struct" href="https://docs.rs/tracing/0.1.37/tracing/instrument/struct.WithDispatch.html" title="struct tracing::instrument::WithDispatch">WithDispatch</a>&lt;Self&gt;</h4></section></summary><div class='docblock'>Attaches the current <a href="https://docs.rs/tracing/0.1.37/tracing/dispatcher/index.html#setting-the-default-subscriber">default</a> <a href="https://docs.rs/tracing-core/0.1.22/tracing_core/subscriber/trait.Subscriber.html"><code>Subscriber</code></a> to this type, returning a
<a href="https://docs.rs/tracing/0.1.37/tracing/instrument/struct.WithDispatch.html" title="WithDispatch"><code>WithDispatch</code></a> wrapper. <a href="https://docs.rs/tracing/0.1.37/tracing/instrument/trait.WithSubscriber.html#method.with_current_subscriber">Read more</a></div></details></div></details><section id="impl-GroupOps%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-GroupOps%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T, Rhs, Output&gt; GroupOps&lt;Rhs, Output&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a>&lt;Rhs, Output = Output&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html" title="trait core::ops::arith::Sub">Sub</a>&lt;Rhs, Output = Output&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.AddAssign.html" title="trait core::ops::arith::AddAssign">AddAssign</a>&lt;Rhs&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.SubAssign.html" title="trait core::ops::arith::SubAssign">SubAssign</a>&lt;Rhs&gt;,</span></h3></section><section id="impl-GroupOpsOwned%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-GroupOpsOwned%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T, Rhs, Output&gt; GroupOpsOwned&lt;Rhs, Output&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: for&lt;'r&gt; GroupOps&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'r </a>Rhs, Output&gt;,</span></h3></section><section id="impl-ScalarMul%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-ScalarMul%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T, Rhs, Output&gt; ScalarMul&lt;Rhs, Output&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a>&lt;Rhs, Output = Output&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.MulAssign.html" title="trait core::ops::arith::MulAssign">MulAssign</a>&lt;Rhs&gt;,</span></h3></section><section id="impl-ScalarMulOwned%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E" class="impl has-srclink"><a href="#impl-ScalarMulOwned%3CRhs%2C%20Output%3E-for-Assigned%3CF%3E" class="anchor"></a><h3 class="code-header">impl&lt;T, Rhs, Output&gt; ScalarMulOwned&lt;Rhs, Output&gt; for T<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: for&lt;'r&gt; ScalarMul&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'r </a>Rhs, Output&gt;,</span></h3></section></div></section></div></main><div id="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_proofs" data-themes="" data-resource-suffix="" data-rustdoc-version="1.67.0-nightly (70f8737b2 2022-11-23)" data-search-js="search-df80cc3cb87b6482.js" data-settings-js="settings-7e1cf5cc683233f7.js" data-settings-css="settings-af96d9e2fc13e081.css" ></div></body></html>