halo2/rustdoc/latest/halo2_proofs/poly/struct.EvaluationDomain.html

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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="This structure contains precomputed constants and other details needed for performing operations on an evaluation domain of size $2^k$ and an extended domain of size $2^{k} * j$ with $j \neq 0$."><meta name="keywords" content="rust, rustlang, rust-lang, EvaluationDomain"><title>EvaluationDomain in halo2_proofs::poly - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" href="../../normalize.css"><link rel="stylesheet" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../ayu.css" disabled><link rel="stylesheet" href="../../dark.css" disabled><link rel="stylesheet" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../main.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../favicon.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 struct"><!--[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="../../rust-logo.svg" alt="logo"></div></a><h2 class="location"></h2></nav><nav class="sidebar"><a class="sidebar-logo" href="../../halo2_proofs/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a><h2 class="location"><a href="#">EvaluationDomain</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#implementations">Methods</a></h3><ul><li><a href="#method.coeff_from_vec">coeff_from_vec</a></li><li><a href="#method.coeff_to_extended">coeff_to_extended</a></li><li><a href="#method.constant_extended">constant_extended</a></li><li><a href="#method.constant_lagrange">constant_lagrange</a></li><li><a href="#method.divide_by_vanishing_poly">divide_by_vanishing_poly</a></li><li><a href="#method.empty_coeff">empty_coeff</a></li><li><a href="#method.empty_extended">empty_extended</a></li><li><a href="#method.empty_lagrange">empty_lagrange</a></li><li><a href="#method.extended_len">extended_len</a></li><li><a href="#method.extended_to_coeff">extended_to_coeff</a></li><li><a href="#method.get_extended_omega">get_extended_omega</a></li><li><a href="#method.get_omega">get_omega</a></li><li><a href="#method.get_omega_inv">get_omega_inv</a></li><li><a href="#method.get_quotient_poly_degree">get_quotient_poly_degree</a></li><li><a href="#method.l_i_range">l_i_range</a></li><li><a href="#method.lagrange_from_vec">lagrange_from_vec</a></li><li><a href="#method.lagrange_to_coeff">lagrange_to_coeff</a></li><li><a href="#method.new">new</a></li><li><a href="#method.pinned">pinned</a></li><li><a href="#method.rotate_extended">rotate_extended</a></li><li><a href="#method.rotate_omega">rotate_omega</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#trait-implementations">Trait Implementations</a></h3><ul><li><a href="#impl-Clone-for-EvaluationDomain%3CG%3E">Clone</a></li><li><a href="#impl-Debug-for-EvaluationDomain%3CG%3E">Debug</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul><li><a href="#impl-RefUnwindSafe-for-EvaluationDomain%3CG%3E">RefUnwindSafe</a></li><li><a href="#impl-Send-for-EvaluationDomain%3CG%3E">Send</a></li><li><a href="#impl-Sync-for-EvaluationDomain%3CG%3E">Sync</a></li><li><a href="#impl-Unpin-for-EvaluationDomain%3CG%3E">Unpin</a></li><li><a href="#impl-UnwindSafe-for-EvaluationDomain%3CG%3E">UnwindSafe</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#blanket-implementations">Blanket Implementations</a></h3><ul><li><a href="#impl-Any-for-EvaluationDomain%3CG%3E">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-EvaluationDomain%3CG%3E">Borrow&lt;T&gt;</a></li><li><a href="#impl-BorrowMut%3CT%3E-for-EvaluationDomain%3CG%3E">BorrowMut&lt;T&gt;</a></li><li><a href="#impl-Conv-for-EvaluationDomain%3CG%3E">Conv</a></li><li><a href="#impl-FmtForward-for-EvaluationDomain%3CG%3E">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-EvaluationDomain%3CG%3E">From&lt;T&gt;</a></li><li><a href="#impl-Instrument-for-EvaluationDomain%3CG%3E">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-EvaluationDomain%3CG%3E">Into&lt;U&gt;</a></li><li><a href="#impl-Pipe-for-EvaluationDomain%3CG%3E">Pipe</a></li><li><a href="#impl-Pointable-for-EvaluationDomain%3CG%3E">Pointable</a></li><li><a href="#impl-Tap-for-EvaluationDomain%3CG%3E">Tap</a></li><li><a href="#impl-ToOwned-for-EvaluationDomain%3CG%3E">ToOwned</a></li><li><a href="#impl-TryConv-for-EvaluationDomain%3CG%3E">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-EvaluationDomain%3CG%3E">TryFrom&lt;U&gt;</a></li><li><a href="#impl-TryInto%3CU%3E-for-EvaluationDomain%3CG%3E">TryInto&lt
performing operations on an evaluation domain of size $2^k$ and an extended
domain of size $2^{k} * j$ with $j \neq 0$.</p>
</div></details><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-EvaluationDomain%3CG%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#36-488">source</a><a href="#impl-EvaluationDomain%3CG%3E" class="anchor"></a><h3 class="code-header">impl&lt;G:&nbsp;<a class="trait" href="../arithmetic/trait.Group.html" title="trait halo2_proofs::arithmetic::Group">Group</a>&gt; <a class="struct" href="struct.EvaluationDomain.html" title="struct halo2_proofs::poly::EvaluationDomain">EvaluationDomain</a>&lt;G&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.new" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#39-142">source</a><h4 class="code-header">pub fn <a href="#method.new" class="fnname">new</a>(j: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>, k: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; Self</h4></section></summary><div class="docblock"><p>This constructs a new evaluation domain object based on the provided
values $j, k$.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.lagrange_from_vec" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#147-154">source</a><h4 class="code-header">pub fn <a href="#method.lagrange_from_vec" class="fnname">lagrange_from_vec</a>(&amp;self, values: <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;G&gt;) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.LagrangeCoeff.html" title="struct halo2_proofs::poly::LagrangeCoeff">LagrangeCoeff</a>&gt;</h4></section></summary><div class="docblock"><p>Obtains a polynomial in Lagrange form when given a vector of Lagrange
coefficients of size <code>n</code>; panics if the provided vector is the wrong
length.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.coeff_from_vec" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#159-166">source</a><h4 class="code-header">pub fn <a href="#method.coeff_from_vec" class="fnname">coeff_from_vec</a>(&amp;self, values: <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;G&gt;) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.Coeff.html" title="struct halo2_proofs::poly::Coeff">Coeff</a>&gt;</h4></section></summary><div class="docblock"><p>Obtains a polynomial in coefficient form when given a vector of
coefficients of size <code>n</code>; panics if the provided vector is the wrong
length.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.empty_coeff" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#169-174">source</a><h4 class="code-header">pub fn <a href="#method.empty_coeff" class="fnname">empty_coeff</a>(&amp;self) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.Coeff.html" title="struct halo2_proofs::poly::Coeff">Coeff</a>&gt;</h4></section></summary><div class="docblock"><p>Returns an empty (zero) polynomial in the coefficient basis</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.empty_lagrange" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#177-182">source</a><h4 class="code-header">pub fn <a href="#method.empty_lagrange" class="fnname">empty_lagrange</a>(&amp;self) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.LagrangeCoeff.html" title="struct halo2_proofs::poly::LagrangeCoeff">LagrangeCoeff</a>&gt;</h4></section></summary><div class="docblock"><p>Returns an empty (zero) polynomial in the Lagrange coefficient basis</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.constant_lagrange" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#197-202">source</a><h4 class="code-header">pub fn <a href="#method.constant_lagrange" class="fnname">constant_lagrange</a>(&amp;self, scalar: G) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.LagrangeCoeff.html" title="struct halo2_proofs::poly::LagrangeCoeff">LagrangeCoeff</a>&gt;</h4></section></summary><div class="docblock"><p>Returns a constant polynomial in the Lagrange coefficient basis</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.empty_extended" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#206-211">source</a><h4 class="code-header">pub fn <a href="#method.empty_extended" class="fnname">empty_extended</a>(&amp;self) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.ExtendedLagrangeCoeff.html" title="struct halo2_proofs::poly::ExtendedLagrangeCoeff">ExtendedLagrangeCoeff</a>&gt;</h4></section></summary><div class="docblock"><p>Returns an empty (zero) polynomial in the extended Lagrange coefficient
basis</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.constant_extended" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#215-220">source</a><h4 class="code-header">pub fn <a href="#method.constant_extended" class="fnname">constant_extended</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self,<br>&nbsp;&nbsp;&nbsp;&nbsp;scalar: G<br>) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.ExtendedLagrangeCoeff.html" title="struct halo2_proofs::poly::ExtendedLagrangeCoeff">ExtendedLagrangeCoeff</a>&gt;</h4></section></summary><div class="docblock"><p>Returns a constant polynomial in the extended Lagrange coefficient
basis</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.lagrange_to_coeff" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#226-236">source</a><h4 class="code-header">pub fn <a href="#method.lagrange_to_coeff" class="fnname">lagrange_to_coeff</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self,<br>&nbsp;&nbsp;&nbsp;&nbsp;a: <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.LagrangeCoeff.html" title="struct halo2_proofs::poly::LagrangeCoeff">LagrangeCoeff</a>&gt;<br>) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.Coeff.html" title="struct halo2_proofs::poly::Coeff">Coeff</a>&gt;</h4></section></summary><div class="docblock"><p>This takes us from an n-length vector into the coefficient form.</p>
<p>This function will panic if the provided vector is not the correct
length.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.coeff_to_extended" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#240-254">source</a><h4 class="code-header">pub fn <a href="#method.coeff_to_extended" class="fnname">coeff_to_extended</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self,<br>&nbsp;&nbsp;&nbsp;&nbsp;a: <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.Coeff.html" title="struct halo2_proofs::poly::Coeff">Coeff</a>&gt;<br>) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.ExtendedLagrangeCoeff.html" title="struct halo2_proofs::poly::ExtendedLagrangeCoeff">ExtendedLagrangeCoeff</a>&gt;</h4></section></summary><div class="docblock"><p>This takes us from an n-length coefficient vector into a coset of the extended
evaluation domain, rotating by <code>rotation</code> if desired.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.rotate_extended" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#257-273">source</a><h4 class="code-header">pub fn <a href="#method.rotate_extended" class="fnname">rotate_extended</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self,<br>&nbsp;&nbsp;&nbsp;&nbsp;poly: &amp;<a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.ExtendedLagrangeCoeff.html" title="struct halo2_proofs::poly::ExtendedLagrangeCoeff">ExtendedLagrangeCoeff</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;rotation: <a class="struct" href="struct.Rotation.html" title="struct halo2_proofs::poly::Rotation">Rotation</a><br>) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.ExtendedLagrangeCoeff.html" title="struct halo2_proofs::poly::ExtendedLagrangeCoeff">ExtendedLagrangeCoeff</a>&gt;</h4></section></summary><div class="docblock"><p>Rotate the extended domain polynomial over the original domain.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.extended_to_coeff" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#302-324">source</a><h4 class="code-header">pub fn <a href="#method.extended_to_coeff" class="fnname">extended_to_coeff</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self,<br>&nbsp;&nbsp;&nbsp;&nbsp;a: <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.ExtendedLagrangeCoeff.html" title="struct halo2_proofs::poly::ExtendedLagrangeCoeff">ExtendedLagrangeCoeff</a>&gt;<br>) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;G&gt;<span class="notable-traits"><span class="notable-traits-tooltip"><span class="notable-traits-tooltiptext"><span class="docblock"><span class="notable">Notable traits for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt;</span><code class="content"><span class="where fmt-newline">impl&lt;A&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/std/io/trait.Write.html" title="trait std::io::Write">Write</a> for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html" title="trait core::alloc::Allocator">Allocator</a>,</span></span></code></span></span></span></span></h4></section></summary><div class="docblock"><p>This takes us from the extended evaluation domain and gets us the
quotient polynomial coefficients.</p>
<p>This function will panic if the provided vector is not the correct
length.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.divide_by_vanishing_poly" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#328-347">source</a><h4 class="code-header">pub fn <a href="#method.divide_by_vanishing_poly" class="fnname">divide_by_vanishing_poly</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self,<br>&nbsp;&nbsp;&nbsp;&nbsp;a: <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.ExtendedLagrangeCoeff.html" title="struct halo2_proofs::poly::ExtendedLagrangeCoeff">ExtendedLagrangeCoeff</a>&gt;<br>) -&gt; <a class="struct" href="struct.Polynomial.html" title="struct halo2_proofs::poly::Polynomial">Polynomial</a>&lt;G, <a class="struct" href="struct.ExtendedLagrangeCoeff.html" title="struct halo2_proofs::poly::ExtendedLagrangeCoeff">ExtendedLagrangeCoeff</a>&gt;</h4></section></summary><div class="docblock"><p>This divides the polynomial (in the extended domain) by the vanishing
polynomial of the $2^k$ size domain.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.extended_len" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#385-387">source</a><h4 class="code-header">pub fn <a href="#method.extended_len" class="fnname">extended_len</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Get the size of the extended domain</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.get_omega" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#390-392">source</a><h4 class="code-header">pub fn <a href="#method.get_omega" class="fnname">get_omega</a>(&amp;self) -&gt; G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a></h4></section></summary><div class="docblock"><p>Get $\omega$, the generator of the $2^k$ order multiplicative subgroup.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.get_omega_inv" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#396-398">source</a><h4 class="code-header">pub fn <a href="#method.get_omega_inv" class="fnname">get_omega_inv</a>(&amp;self) -&gt; G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a></h4></section></summary><div class="docblock"><p>Get $\omega^{-1}$, the inverse of the generator of the $2^k$ order
multiplicative subgroup.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.get_extended_omega" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#401-403">source</a><h4 class="code-header">pub fn <a href="#method.get_extended_omega" class="fnname">get_extended_omega</a>(&amp;self) -&gt; G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a></h4></section></summary><div class="docblock"><p>Get the generator of the extended domains multiplicative subgroup.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.rotate_omega" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#407-417">source</a><h4 class="code-header">pub fn <a href="#method.rotate_omega" class="fnname">rotate_omega</a>(&amp;self, value: G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>, rotation: <a class="struct" href="struct.Rotation.html" title="struct halo2_proofs::poly::Rotation">Rotation</a>) -&gt; G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a></h4></section></summary><div class="docblock"><p>Multiplies a value by some power of $\omega$, essentially rotating over
the domain.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.l_i_range" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#446-471">source</a><h4 class="code-header">pub fn <a href="#method.l_i_range" class="fnname">l_i_range</a>&lt;I:&nbsp;<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>&lt;Item = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self,<br>&nbsp;&nbsp;&nbsp;&nbsp;x: G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;xn: G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;rotations: I<br>) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>&gt;<span class="notable-traits"><span class="notable-traits-tooltip"><span class="notable-traits-tooltiptext"><span class="docblock"><span class="notable">Notable traits for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt;</span><code class="content"><span class="where fmt-newline">impl&lt;A&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/std/io/trait.Write.html" title="trait std::io::Write">Write</a> for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html" title="trait core::alloc::Allocator">Allocator</a>,</span></span></code></span></span></span></span></h4></section></summary><div class="docblock"><p>Computes evaluations (at the point <code>x</code>, where <code>xn = x^n</code>) of Lagrange
basis polynomials <code>l_i(X)</code> defined such that <code>l_i(omega^i) = 1</code> and
<code>l_i(omega^j) = 0</code> for all <code>j != i</code> at each provided rotation <code>i</code>.</p>
<h5 id="implementation"><a href="#implementation">Implementation</a></h5>
<p>The polynomial
$$\prod_{j=0,j \neq i}^{n - 1} (X - \omega^j)$$
has a root at all points in the domain except $\omega^i$, where it evaluates to
$$\prod_{j=0,j \neq i}^{n - 1} (\omega^i - \omega^j)$$
and so we divide that polynomial by this value to obtain $l_i(X)$. Since
$$\prod_{j=0,j \neq i}^{n - 1} (X - \omega^j)
= \frac{X^n - 1}{X - \omega^i}$$
then $l_i(x)$ for some $x$ is evaluated as
$$\left(\frac{x^n - 1}{x - \omega^i}\right)
\cdot \left(\frac{1}{\prod_{j=0,j \neq i}^{n - 1} (\omega^i - \omega^j)}\right).$$
We refer to
$$1 \over \prod_{j=0,j \neq i}^{n - 1} (\omega^i - \omega^j)$$
as the barycentric weight of $\omega^i$.</p>
<p>We know that for $i = 0$
$$\frac{1}{\prod_{j=0,j \neq i}^{n - 1} (\omega^i - \omega^j)} = \frac{1}{n}.$$</p>
<p>If we multiply $(1 / n)$ by $\omega^i$ then we obtain
$$\frac{1}{\prod_{j=0,j \neq 0}^{n - 1} (\omega^i - \omega^j)}
= \frac{1}{\prod_{j=0,j \neq i}^{n - 1} (\omega^i - \omega^j)}$$
which is the barycentric weight of $\omega^i$.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.get_quotient_poly_degree" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#474-476">source</a><h4 class="code-header">pub fn <a href="#method.get_quotient_poly_degree" class="fnname">get_quotient_poly_degree</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Gets the quotient polynomials degree (as a multiple of n)</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pinned" class="method has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#481-487">source</a><h4 class="code-header">pub fn <a href="#method.pinned" class="fnname">pinned</a>(&amp;self) -&gt; <a class="struct" href="struct.PinnedEvaluationDomain.html" title="struct halo2_proofs::poly::PinnedEvaluationDomain">PinnedEvaluationDomain</a>&lt;'_, G&gt;</h4></section></summary><div class="docblock"><p>Obtain a pinned version of this evaluation domain; a structure with the
minimal parameters needed to determine the rest of the evaluation
domain.</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-Clone-for-EvaluationDomain%3CG%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/halo2_proofs/poly/domain.rs.html#18">source</a><a href="#impl-Clone-for-EvaluationDomain%3CG%3E" class="anchor"></a><h3 class="code-header">impl&lt;G:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="../arithmetic/trait.Group.html" title="trait halo2_proofs::arithmetic::Group">Group</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="struct" href="struct.EvaluationDomain.html" title="struct halo2_proofs::poly::EvaluationDomain">EvaluationDomain</a>&lt;G&gt;<span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;G::<a class="associatedtype" href="../arithmetic/trait.Group.html#associatedtype.Scalar" title="type halo2_proofs::arithmetic::Group::Scalar">Scalar</a>: <a cl
<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. <a>Read more</a></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-EvaluationDomain%3CG%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-EvaluationDomain%3CG%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" 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" 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-EvaluationDomain%3CG%3E" class="impl has-srclink"><a class="srclink rightside" href="https://docs.rs/tracing/0.1.36/src/tracing/instrument.rs.html#276">source</a><a href="#impl-Instrument-for-EvaluationDomain%3CG%3E" class="anchor"></a><h3 class="code-header">impl&lt;T&gt; <a class="trait" href="https://docs.rs/tracing/0.1.36/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/0.1.36/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/0.1.36/tracing/instrument/trait.Instrument.html#method.instrument" class="fnname">instrument</a>(self, span: <a class="struct" href="https://docs.rs/tracing/0.1.36/tracing/span/struct.Span.html" title="struct tracing::span::Span">Span</a>) -&gt; <a class="struct" href="https://docs.rs/tracing/0.1.36/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/0.1.36/tracing/span/struct.Span.html" title="Span"><code>Span</code></a>, returning an
<code>Instrumented</code> wrapper. <a href="https://docs.rs/tracing/0.1.36/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/0.1.36/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/0.1.36/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/0.1.36/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/0.1.36/tracing/span/struct.Span.html#method.current">current</a> <a href="https://docs.rs/tracing/0.1.36/tracing/span/struct.Span.html"><code>Span</code></a>, returning an
<code>Instrumented</code> wrapper. <a href="https://docs.rs/tracing/0.1.36/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-EvaluationDomain%3CG%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-EvaluationDomain%3CG%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-EvaluationDomain%3CG%3E" class="impl has-srclink"><a href="#impl-Pipe-for-EvaluationDomain%3CG%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</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;&nb
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-EvaluationDomain%3CG%3E" class="impl has-srclink"><a href="#impl-Pointable-for-EvaluationDomain%3CG%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-EvaluationDomain%3CG%3E" class="impl has-srclink"><a href="#impl-Tap-for-EvaluationDomain%3CG%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></sectio
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-EvaluationDomain%3CG%3E" class="impl has-srclink"><a class="srclink rightside" href="https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#83">source</a><a href="#impl-ToOwned-for-EvaluationDomain%3CG%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#88">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#92">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-EvaluationDomain%3CG%3E" class="impl has-srclink"><a href="#impl-TryConv-for-EvaluationDomain%3CG%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-togg
<a href="https://docs.rs/tracing/0.1.36/tracing/instrument/struct.WithDispatch.html" title="WithDispatch"><code>WithDispatch</code></a> wrapper. <a href="https://docs.rs/tracing/0.1.36/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/0.1.36/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/0.1.36/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/0.1.36/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/0.1.36/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/0.1.36/tracing/instrument/struct.WithDispatch.html" title="WithDispatch"><code>WithDispatch</code></a> wrapper. <a href="https://docs.rs/tracing/0.1.36/tracing/instrument/trait.WithSubscriber.html#method.with_current_subscriber">Read more</a></div></details></div></details></div></section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="halo2_proofs" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (01af5040f 2022-10-04)" ></div></body></html>