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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="API documentation for the Rust `Lattice` trait in crate `alga`."><meta name="keywords" content="rust, rustlang, rust-lang, Lattice"><title>alga::general::Lattice - Rust</title><link rel="stylesheet" type="text/css" href="../../normalize.css"><link rel="stylesheet" type="text/css" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../../dark.css"><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script src="../../storage.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="shortcut icon" href="../../favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc trait"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><div class="sidebar-menu">☰</div><a href='../../alga/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Trait Lattice</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#provided-methods">Provided Methods</a><div class="sidebar-links"><a href="#method.meet_join">meet_join</a><a href="#method.partial_clamp">partial_clamp</a><a href="#method.partial_max">partial_max</a><a href="#method.partial_min">partial_min</a><a href="#method.partial_sort2">partial_sort2</a></div><a class="sidebar-title" href="#foreign-impls">Implementations on Foreign Types</a><div class="sidebar-links"><a href="#impl-Lattice-for-f32">f32</a><a href="#impl-Lattice-for-f64">f64</a><a href="#impl-Lattice-for-i16">i16</a><a href="#impl-Lattice-for-i32">i32</a><a href="#impl-Lattice-for-i64">i64</a><a href="#impl-Lattice-for-i8">i8</a><a href="#impl-Lattice-for-isize">isize</a><a href="#impl-Lattice-for-u16">u16</a><a href="#impl-Lattice-for-u32">u32</a><a href="#impl-Lattice-for-u64">u64</a><a href="#impl-Lattice-for-u8">u8</a><a href="#impl-Lattice-for-usize">usize</a></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='../index.html'>alga</a>::<wbr><a href='index.html'>general</a></p><script>window.sidebarCurrent = {name: 'Lattice', ty: 'trait', relpath: ''};</script><script defer src="sidebar-items.js"></script></div></nav><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!"><img src="../../brush.svg" width="18" alt="Pick another theme!"></button><div id="theme-choices"></div></div><script src="../../theme.js"></script><nav class="sub"><form class="search-form js-only"><div class="search-container"><div><select id="crate-search"><option value="All crates">All crates</option></select><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"></div><a id="settings-menu" href="../../settings.html"><img src="../../wheel.svg" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><h1 class='fqn'><span class='out-of-band'><span id='render-detail'><a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class='inner'>−</span>]</a></span><a class='srclink' href='../../src/alga/general/lattice.rs.html#18-80' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='../index.html'>alga</a>::<wbr><a href='index.html'>general</a>::<wbr><a class="trait" href=''>Lattice</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust trait'>pub trait Lattice: <a class="trait" href="../../alga/general/trait.MeetSemilattice.html" title="trait alga::general::MeetSemilattice">MeetSemilattice</a> + <a class="trait" href="../../alga/general/trait.JoinSemilattice.html" title="trait alga:
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fn <a href='#method.meet_join' class='fnname'>meet_join</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>Self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self, Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a> { ... }
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<div class='item-spacer'></div> fn <a href='#method.partial_min' class='fnname'>partial_min</a><'a>(&'a self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self> { ... }
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<div class='item-spacer'></div> fn <a href='#method.partial_max' class='fnname'>partial_max</a><'a>(&'a self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self> { ... }
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<div class='item-spacer'></div> fn <a href='#method.partial_sort2' class='fnname'>partial_sort2</a><'a>(<br> &'a self, <br> other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self<br> ) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>> { ... }
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<div class='item-spacer'></div> fn <a href='#method.partial_clamp' class='fnname'>partial_clamp</a><'a>(<br> &'a self, <br> min: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self, <br> max: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self<br> ) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self> { ... }
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}</pre></div><div class='docblock'><p>Partially orderable sets where every two elements have a supremum and infimum.</p>
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</div>
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<h2 id='provided-methods' class='small-section-header'>Provided methods<a href='#provided-methods' class='anchor'></a></h2><div class='methods'><h3 id='method.meet_join' class='method'><code id='meet_join.v'>fn <a href='#method.meet_join' class='fnname'>meet_join</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>Self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self, Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code></h3><div class='docblock'><p>Returns the infimum and the supremum simultaneously.</p>
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</div><h3 id='method.partial_min' class='method'><code id='partial_min.v'>fn <a href='#method.partial_min' class='fnname'>partial_min</a><'a>(&'a self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self></code></h3><div class='docblock'><p>Return the minimum of <code>self</code> and <code>other</code> if they are comparable.</p>
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</div><h3 id='method.partial_max' class='method'><code id='partial_max.v'>fn <a href='#method.partial_max' class='fnname'>partial_max</a><'a>(&'a self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self></code></h3><div class='docblock'><p>Return the maximum of <code>self</code> and <code>other</code> if they are comparable.</p>
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</div><h3 id='method.partial_sort2' class='method'><code id='partial_sort2.v'>fn <a href='#method.partial_sort2' class='fnname'>partial_sort2</a><'a>(&'a self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>></code></h3><div class='docblock'><p>Sorts two values in increasing order using a partial ordering.</p>
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</div><h3 id='method.partial_clamp' class='method'><code id='partial_clamp.v'>fn <a href='#method.partial_clamp' class='fnname'>partial_clamp</a><'a>(&'a self, min: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self, max: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a </a>Self></code></h3><div class='docblock'><p>Clamp <code>value</code> between <code>min</code> and <code>max</code>. Returns <code>None</code> if <code>value</code> is not comparable to
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<code>min</code> or <code>max</code>.</p>
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</div></div><span class='loading-content'>Loading content...</span>
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<h2 id='foreign-impls' class='small-section-header'>Implementations on Foreign Types<a href='#foreign-impls' class='anchor'></a></h2><h3 id='impl-Lattice-for-u8' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.Lattice.html" title="trait alga::general::Lattice">Lattice</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></code><a href='#impl-Lattice-for-u8' class='anchor'></a><a class='srclink' href='../../src/alga/general/lattice.rs.html#108-118' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.meet_join-1' class="method hidden"><code id='meet_join.v-1'>fn <a href='#method.meet_join' class='fnname'>meet_join</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>Self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self, Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code><a class='srclink' href='../../src/alga/general/lattice.rs.html#110-117' title='goto source code'>[src]</a></h4></div><h3 id='impl-Lattice-for-u16' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.Lattice.html" title="trait alga::general::Lattice">Lattice</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a></code><a href='#impl-Lattice-for-u16' class='anchor'></a><a class='srclink' href='../../src/alga/general/lattice.rs.html#108-118' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.meet_join-2' class="method hidden"><code id='meet_join.v-2'>fn <a href='#method.meet_join' class='fnname'>meet_join</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>Self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self, Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code><a class='srclink' href='../../src/alga/general/lattice.rs.html#110-117' title='goto source code'>[src]</a></h4></div><h3 id='impl-Lattice-for-u32' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.Lattice.html" title="trait alga::general::Lattice">Lattice</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code><a href='#impl-Lattice-for-u32' class='anchor'></a><a class='srclink' href='../../src/alga/general/lattice.rs.html#108-118' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.meet_join-3' class="method hidden"><code id='meet_join.v-3'>fn <a href='#method.meet_join' class='fnname'>meet_join</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>Self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self, Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code><a class='srclink' href='../../src/alga/general/lattice.rs.html#110-117' title='goto source code'>[src]</a></h4></div><h3 id='impl-Lattice-for-u64' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.Lattice.html" title="trait alga::general::Lattice">Lattice</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a></code><a href='#impl-Lattice-for-u64' class='anchor'></a><a class='srclink' href='../../src/alga/general/lattice.rs.html#108-118' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.meet_join-4' class="method hidden"><code id='meet_join.v-4'>fn <a href='#method.meet_join' class='fnname'>meet_join</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>Self) -> <a class="primitive" href="https://doc.rust-lang.org/
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<h2 id='implementors' class='small-section-header'>Implementors<a href='#implementors' class='anchor'></a></h2><div class='item-list' id='implementors-list'><h3 id='impl-Lattice' class='impl'><code class='in-band'>impl<O: <a class="trait" href="../../alga/general/trait.Operator.html" title="trait alga::general::Operator">Operator</a>> Lattice for <a class="struct" href="../../alga/general/struct.Id.html" title="struct alga::general::Id">Id</a><O></code><a href='#impl-Lattice' class='anchor'></a><a class='srclink' href='../../src/alga/general/identity.rs.html#285' title='goto source code'>[src]</a></h3><div class='impl-items'></div></div><span class='loading-content'>Loading content...</span><script type="text/javascript">window.inlined_types=new Set([]);</script><script type="text/javascript" async
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src="../../implementors/alga/general/trait.Lattice.js">
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