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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 `MetricSpace` trait in crate `cgmath`."><meta name="keywords" content="rust, rustlang, rust-lang, MetricSpace"><title>cgmath::MetricSpace - 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='../cgmath/index.html'><div class='logo-container'><img src='../rust-logo.png' alt='logo'></div></a><p class='location'>Trait MetricSpace</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#associated-types">Associated Types</a><div class="sidebar-links"><a href="#associatedtype.Metric">Metric</a></div><a class="sidebar-title" href="#required-methods">Required Methods</a><div class="sidebar-links"><a href="#tymethod.distance2">distance2</a></div><a class="sidebar-title" href="#provided-methods">Provided Methods</a><div class="sidebar-links"><a href="#method.distance">distance</a></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='index.html'>cgmath</a></p><script>window.sidebarCurrent = {name: 'MetricSpace', 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/cgmath/structure.rs.html#196-211' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='index.html'>cgmath</a>::<wbr><a class="trait" href=''>MetricSpace</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust trait'>pub trait MetricSpace: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a> {
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type <a href='#associatedtype.Metric' class="type">Metric</a>: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>;
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fn <a href='#tymethod.distance2' class='fnname'>distance2</a>(self, other: Self) -> Self::<a class="type" href="../cgmath/prelude/trait.MetricSpace.html#associatedtype.Metric" title="type cgmath::prelude::MetricSpace::Metric">Metric</a>;
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fn <a href='#method.distance' class='fnname'>distance</a>(self, other: Self) -> Self::<a class="type" href="../cgmath/prelude/trait.MetricSpace.html#associatedtype.Metric" title="type cgmath::prelude::MetricSpace::Metric">Metric</a> { ... }
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}</pre></div><div class='docblock'><p>A type with a distance function between values.</p>
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<p>Examples are vectors, points, and quaternions.</p>
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</div>
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<h2 id='associated-types' class='small-section-header'>Associated Types<a href='#associated-types' class='anchor'></a></h2><div class='methods'><h3 id='associatedtype.Metric' class='method'><code id='Metric.t'>type <a href='#associatedtype.Metric' class="type">Metric</a>: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a></code></h3><div class='docblock'><p>The metric to be returned by the <code>distance</code> function.</p>
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</div></div><span class='loading-content'>Loading content...</span>
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<h2 id='required-methods' class='small-section-header'>Required methods<a href='#required-methods' class='anchor'></a></h2><div class='methods'><h3 id='tymethod.distance2' class='method'><code id='distance2.v'>fn <a href='#tymethod.distance2' class='fnname'>distance2</a>(self, other: Self) -> Self::<a class="type" href="../cgmath/prelude/trait.MetricSpace.html#associatedtype.Metric" title="type cgmath::prelude::MetricSpace::Metric">Metric</a></code></h3><div class='docblock'><p>Returns the squared distance.</p>
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<p>This does not perform an expensive square root operation like in
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<code>MetricSpace::distance</code> method, and so can be used to compare distances
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more efficiently.</p>
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</div></div><span class='loading-content'>Loading content...</span>
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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.distance' class='method'><code id='distance.v'>fn <a href='#method.distance' class='fnname'>distance</a>(self, other: Self) -> Self::<a class="type" href="../cgmath/prelude/trait.MetricSpace.html#associatedtype.Metric" title="type cgmath::prelude::MetricSpace::Metric">Metric</a></code></h3><div class='docblock'><p>The distance between two values.</p>
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</div></div><span class='loading-content'>Loading content...</span>
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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-MetricSpace' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> MetricSpace for <a class="struct" href="../cgmath/struct.Point1.html" title="struct cgmath::Point1">Point1</a><S></code><a href='#impl-MetricSpace' class='anchor'></a><a class='srclink' href='../src/cgmath/point.rs.html#141-148' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Metric-1' class="type"><code id='Metric.t-1'>type <a href='#associatedtype.Metric-1' class="type">Metric</a> = S</code></h4><h4 id='method.distance2' class="method hidden"><code id='distance2.v-1'>fn <a href='#method.distance2' class='fnname'>distance2</a>(self, other: Self) -> S</code><a class='srclink' href='../src/cgmath/point.rs.html#145-147' title='goto source code'>[src]</a></h4></div><h3 id='impl-MetricSpace-1' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> MetricSpace for <a class="struct" href="../cgmath/struct.Point2.html" title="struct cgmath::Point2">Point2</a><S></code><a href='#impl-MetricSpace-1' class='anchor'></a><a class='srclink' href='../src/cgmath/point.rs.html#141-148' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Metric-2' class="type"><code id='Metric.t-2'>type <a href='#associatedtype.Metric-2' class="type">Metric</a> = S</code></h4><h4 id='method.distance2-1' class="method hidden"><code id='distance2.v-2'>fn <a href='#method.distance2-1' class='fnname'>distance2</a>(self, other: Self) -> S</code><a class='srclink' href='../src/cgmath/point.rs.html#145-147' title='goto source code'>[src]</a></h4></div><h3 id='impl-MetricSpace-2' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> MetricSpace for <a class="struct" href="../cgmath/struct.Point3.html" title="struct cgmath::Point3">Point3</a><S></code><a href='#impl-MetricSpace-2' class='anchor'></a><a class='srclink' href='../src/cgmath/point.rs.html#141-148' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Metric-3' class="type"><code id='Metric.t-3'>type <a href='#associatedtype.Metric-3' class="type">Metric</a> = S</code></h4><h4 id='method.distance2-2' class="method hidden"><code id='distance2.v-3'>fn <a href='#method.distance2-2' class='fnname'>distance2</a>(self, other: Self) -> S</code><a class='srclink' href='../src/cgmath/point.rs.html#145-147' title='goto source code'>[src]</a></h4></div><h3 id='impl-MetricSpace-3' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> MetricSpace for <a class="struct" href="../cgmath/struct.Quaternion.html" title="struct cgmath::Quaternion">Quaternion</a><S></code><a href='#impl-MetricSpace-3' class='anchor'></a><a class='srclink' href='../src/cgmath/quaternion.rs.html#236-243' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Metric-4' class="type"><code id='Metric.t-4'>type <a href='#associatedtype.Metric-4' class="type">Metric</a> = S</code></h4><h4 id='method.distance2-3' class="method hidden"><code id='distance2.v-4'>fn <a href='#method.distance2-3' class='fnname'>distance2</a>(self, other: Self) -> S</code><a class='srclink' href='../src/cgmath/quaternion.rs.html#240-242' title='goto source code'>[src]</a></h4></div><h3 id='impl-MetricSpace-4' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> MetricSpace for <a class="struct" href="../cgmath/struct.Vector1.html" title="struct cgmath::Vector1">Vector1</a><S></code><a href='#impl-MetricSpace-4' class='anchor'></a><a class='srclink' href='../src/cgmath/vector.rs.html#136-143' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Metric-5' class="type"><code id='Metric.t-5'>type <a href='#associatedtype.Metric-5' class="type">Metric</a> = S</code></h4><h4 id='method.distance2-4' class="method hidden"><code id='distance2.v-5'>fn <a href='#method.distance2-4' class='fnname'>distance2</a>(self, other: Self) -> S</code><a class='srclink' href='../src/cgmath/vector.rs.html#140-142' title='goto source code'>[src]</a></h4></div><h3 id='impl-MetricSpace-5' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> MetricSpace for <a class="struct" href="../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a><S></code><a href='#impl-MetricSpace-5' class='anchor'></a><a class='srclink' href='../src/cgmath/vector.rs.html#136-143' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Metric-6' class="type"><code id='Metric.t-6'>type <a href='#associatedtype.Metric-6' class="type">Metric</a> = S</code></h4><h4 id='method.distance2-5' class="method hidden"><code id='distance2.v-6'>fn <a href='#method.distance2-5' class='fnname'>distance2</a>(self, other: Self) -> S</code><a class='srclink' href='../src/cgmath/vector.rs.html#140-142' title='goto source code'>[src]</a></h4></div><h3 id='impl-MetricSpace-6' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> MetricSpace for <a class="struct" href="../cgmath/struct.Vector3.html" title="struct cgmath::Vector3">Vector3</a><S></code><a href='#impl-MetricSpace-6' class='anchor'></a><a class='srclink' href='../src/cgmath/vector.rs.html#136-143' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Metric-7' class="type"><code id='Metric.t-7'>type <a href='#associatedtype.Metric-7' class="type">Metric</a> = S</code></h4><h4 id='method.distance2-6' class="method hidden"><code id='distance2.v-7'>fn <a href='#method.distance2-6' class='fnname'>distance2</a>(self, other: Self) -> S</code><a class='srclink' href='../src/cgmath/vector.rs.html#140-142' title='goto source code'>[src]</a></h4></div><h3 id='impl-MetricSpace-7' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> MetricSpace for <a class="struct" href="../cgmath/struct.Vector4.html" title="struct cgmath::Vector4">Vector4</a><S></code><a href='#impl-MetricSpace-7' class='anchor'></a><a class='srclink' href='../src/cgmath/vector.rs.html#136-143' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Metric-8' class="type"><code id='Metric.t-8'>type <a href='#associatedtype.Metric-8' class="type">Metric</a> = S</code></h4><h4 id='method.distance2-7' class="method hidden"><code id='distance2.v-8'>fn <a href='#method.distance2-7' class='fnname'>distance2</a>(self, other: Self) -> S</code><a class='srclink' href='../src/cgmath/vector.rs.html#140-142' title='goto source code'>[src]</a></h4></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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