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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 `Transformation` trait in crate `alga`."><meta name="keywords" content="rust, rustlang, rust-lang, Transformation"><title>alga::linear::Transformation - 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 Transformation</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#required-methods">Required Methods</a><div class="sidebar-links"><a href="#tymethod.transform_point">transform_point</a><a href="#tymethod.transform_vector">transform_vector</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'>linear</a></p><script>window.sidebarCurrent = {name: 'Transformation', 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/linear/transformation.rs.html#10-19' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='../index.html'>alga</a>::<wbr><a href='index.html'>linear</a>::<wbr><a class="trait" href=''>Transformation</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust trait'>pub trait Transformation<E: <a class="trait" href="../../alga/linear/trait.EuclideanSpace.html" title="trait alga::linear::EuclideanSpace">EuclideanSpace</a>>: <a class="trait" href="../../alga/general/trait.MultiplicativeMonoid.html" title="trait alga::general::MultiplicativeMonoid">MultiplicativeMonoid</a> {
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fn <a href='#tymethod.transform_point' class='fnname'>transform_point</a>(&self, pt: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>E) -> E;
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<div class='item-spacer'></div> fn <a href='#tymethod.transform_vector' class='fnname'>transform_vector</a>(&self, v: &E::<a class="type" href="../../alga/linear/trait.EuclideanSpace.html#associatedtype.Coordinates" title="type alga::linear::EuclideanSpace::Coordinates">Coordinates</a>) -> E::<a class="type" href="../../alga/linear/trait.EuclideanSpace.html#associatedtype.Coordinates" title="type alga::linear::EuclideanSpace::Coordinates">Coordinates</a>;
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}</pre></div><div class='docblock'><p>A general transformation acting on an euclidean space. It may not be inversible.</p>
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</div>
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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.transform_point' class='method'><code id='transform_point.v'>fn <a href='#tymethod.transform_point' class='fnname'>transform_point</a>(&self, pt: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>E) -> E</code></h3><div class='docblock'><p>Applies this group's action on a point from the euclidean space.</p>
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</div><h3 id='tymethod.transform_vector' class='method'><code id='transform_vector.v'>fn <a href='#tymethod.transform_vector' class='fnname'>transform_vector</a>(&self, v: &E::<a class="type" href="../../alga/linear/trait.EuclideanSpace.html#associatedtype.Coordinates" title="type alga::linear::EuclideanSpace::Coordinates">Coordinates</a>) -> E::<a class="type" href="../../alga/linear/trait.EuclideanSpace.html#associatedtype.Coordinates" title="type alga::linear::EuclideanSpace::Coordinates">Coordinates</a></code></h3><div class='docblock'><p>Applies this group's action on a vector from the euclidean space.</p>
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<p>If <code>v</code> is a vector and <code>a, b</code> two point such that <code>v = a - b</code>, the action <code>∘</code> on a vector
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is defined as <code>self ∘ v = (self × a) - (self × b)</code>.</p>
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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-Transformation%3CE%3E' class='impl'><code class='in-band'>impl<E: <a class="trait" href="../../alga/linear/trait.EuclideanSpace.html" title="trait alga::linear::EuclideanSpace">EuclideanSpace</a>> Transformation<E> for <a class="struct" href="../../alga/general/struct.Id.html" title="struct alga::general::Id">Id</a></code><a href='#impl-Transformation%3CE%3E' class='anchor'></a><a class='srclink' href='../../src/alga/linear/id.rs.html#13-23' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.transform_point' class="method hidden"><code id='transform_point.v-1'>fn <a href='#method.transform_point' class='fnname'>transform_point</a>(&self, pt: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>E) -> E</code><a class='srclink' href='../../src/alga/linear/id.rs.html#15-17' title='goto source code'>[src]</a></h4><h4 id='method.transform_vector' class="method hidden"><code id='transform_vector.v-1'>fn <a href='#method.transform_vector' class='fnname'>transform_vector</a>(&self, v: &E::<a class="type" href="../../alga/linear/trait.EuclideanSpace.html#associatedtype.Coordinates" title="type alga::linear::EuclideanSpace::Coordinates">Coordinates</a>) -> E::<a class="type" href="../../alga/linear/trait.EuclideanSpace.html#associatedtype.Coordinates" title="type alga::linear::EuclideanSpace::Coordinates">Coordinates</a></code><a class='srclink' href='../../src/alga/linear/id.rs.html#20-22' title='goto source code'>[src]</a></h4></div><h3 id='impl-Transformation%3CE%3E-1' class='impl'><code class='in-band'>impl<R, E> Transformation<E> for R <span class="where fmt-newline">where<br> R: <a class="trait" href="../../alga/general/trait.RealField.html" title="trait alga::general::RealField">RealField</a>,<br> E: <a class="trait" href="../../alga/linear/trait.EuclideanSpace.html" title="trait alga::linear::EuclideanSpace">EuclideanSpace</a><RealField = R>,<br> E::<a class="type" href="../../alga/linear/trait.EuclideanSpace.html#associatedtype.Coordinates" title="type alga::linear::EuclideanSpace::Coordinates">Coordinates</a>: <a class="trait" href="../../alga/general/trait.ClosedMul.html" title="trait alga::general::ClosedMul">ClosedMul</a><R> + <a class="trait" href="../../alga/general/trait.ClosedDiv.html" title="trait alga::general::ClosedDiv">ClosedDiv</a><R> + <a class="trait" href="../../alga/general/trait.ClosedNeg.html" title="trait alga::general::ClosedNeg">ClosedNeg</a>, </span></code><a href='#impl-Transformation%3CE%3E-1' class='anchor'></a><a class='srclink' href='../../src/alga/linear/transformation.rs.html#292-307' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.transform_point-1' class="method hidden"><code id='transform_point.v-2'>fn <a href='#method.transform_point-1' class='fnname'>transform_point</a>(&self, pt: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>E) -> E</code><a class='srclink' href='../../src/alga/linear/transformation.rs.html#299-301' title='goto source code'>[src]</a></h4><h4 id='method.transform_vector-1' class="method hidden"><code id='transform_vector.v-2'>fn <a href='#method.transform_vector-1' class='fnname'>transform_vector</a>(&self, v: &E::<a class="type" href="../../alga/linear/trait.EuclideanSpace.html#associatedtype.Coordinates" title="type alga::linear::EuclideanSpace::Coordinates">Coordinates</a>) -> E::<a class="type" href="../../alga/linear/trait.EuclideanSpace.html#associatedtype.Coordinates" title="type alga::linear::EuclideanSpace::Coordinates">Coordinates</a></code><a class='srclink' href='../../src/alga/linear/transformation.rs.html#304-306' 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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