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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 `TAffine` enum in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, TAffine"><title>nalgebra::geometry::TAffine - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc enum"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Enum TAffine</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#implementations">Trait Implementations</a><div class="sidebar-links"><a href="#impl-Clone">Clone</a><a href="#impl-Copy">Copy</a><a href="#impl-Debug">Debug</a><a href="#impl-Eq">Eq</a><a href="#impl-Hash">Hash</a><a href="#impl-PartialEq%3CTAffine%3E">PartialEq&lt;TAffine&gt;</a><a href="#impl-SuperTCategoryOf%3CTAffine%3E">SuperTCategoryOf&lt;TAffine&gt;</a><a href="#impl-TCategory">TCategory</a><a href="#impl-TCategoryMul%3CTAffine%3E">TCategoryMul&lt;TAffine&gt;</a><a href="#impl-TCategoryMul%3CTGeneral%3E">TCategoryMul&lt;TGeneral&gt;</a><a href="#impl-TCategoryMul%3CTProjective%3E">TCategoryMul&lt;TProjective&gt;</a></div><a class="sidebar-title" href="#synthetic-implementations">Auto Trait Implementations</a><div class="sidebar-links"><a href="#impl-RefUnwindSafe">RefUnwindSafe</a><a href="#impl-Send">Send</a><a href="#impl-Sync">Sync</a><a href="#impl-Unpin">Unpin</a><a href="#impl-UnwindSafe">UnwindSafe</a></div><a class="sidebar-title" href="#blanket-implementations">Blanket Implementations</a><div class="sidebar-links"><a href="#impl-Any">Any</a><a href="#impl-Borrow%3CT%3E">Borrow&lt;T&gt;</a><a href="#impl-BorrowMut%3CT%3E">BorrowMut&lt;T&gt;</a><a href="#impl-From%3CT%3E">From&lt;T&gt;</a><a href="#impl-Into%3CU%3E">Into&lt;U&gt;</a><a href="#impl-Same%3CT%3E">Same&lt;T&gt;</a><a href="#impl-SupersetOf%3CSS%3E">SupersetOf&lt;SS&gt;</a><a href="#impl-ToOwned">ToOwned</a><a href="#impl-TryFrom%3CU%3E">TryFrom&lt;U&gt;</a><a href="#impl-TryInto%3CU%3E">TryInto&lt;U&gt;</a></div></div><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'TAffine', ty: 'enum', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#70' title='goto source code'>[src]</a></span><span class='in-band'>Enum <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="enum" href=''>TAffine</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust enum'>pub enum TAffine {}</pre></div><div class='docblock'><p>Tag representing an affine <code>Transform</code>. Its bottom-row is equal to <code>(0, 0 ... 0, 1)</code>.</p>
</div><h2 id='implementations' class='small-section-header'>Trait Implementations<a href='#implementations' class='anchor'></a></h2><div id='implementations-list'><h3 id='impl-TCategory' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategory.html" title="trait nalgebra::geometry::TCategory">TCategory</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-TCategory' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#94-111' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.has_normalizer' class="method hidden"><code id='has_normalizer.v'>fn <a href='../../nalgebra/geometry/trait.TCategory.html#method.has_normalizer' class='fnname'>has_normalizer</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#96-98' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Indicates whether a <code>Transform</code> with the category <code>Self</code> has a bottom-row different from <code>0 0 .. 1</code>. <a href="../../nalgebra/geometry/trait.TCategory.html#method.has_normalizer">Read more</a></p>
</div><h4 id='method.check_homogeneous_invariants' class="method hidden"><code id='check_homogeneous_invariants.v'>fn <a href='../../nalgebra/geometry/trait.TCategory.html#tymethod.check_homogeneous_invariants' class='fnname'>check_homogeneous_invariants</a>&lt;N:&nbsp;<a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a>, D:&nbsp;<a class="trait" href="../../nalgebra/base/dimension/trait.DimName.html" title="trait nalgebra::base::dimension::DimName">DimName</a>&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;mat: &amp;<a class="type" href="../../nalgebra/base/type.MatrixN.html" title="type nalgebra::base::MatrixN">MatrixN</a>&lt;N, D&gt;<br>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a> <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;N::<a class="type" href="../../approx/abs_diff_eq/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type approx::abs_diff_eq::AbsDiffEq::Epsilon">Epsilon</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;<a class="struct" href="../../nalgebra/base/default_allocator/struct.DefaultAllocator.html" title="struct nalgebra::base::default_allocator::DefaultAllocator">DefaultAllocator</a>: <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a>&lt;N, D, D&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#101-110' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Checks that the given matrix is a valid homogeneous representation of an element of the category <code>Self</code>. <a href="../../nalgebra/geometry/trait.TCategory.html#tymethod.check_homogeneous_invariants">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTGeneral%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-TCategoryMul%3CTGeneral%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative' class="type"><code id='Representative.t'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTProjective%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-TCategoryMul%3CTProjective%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative-1' class="type"><code id='Representative.t-1'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTAffine%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-TCategoryMul%3CTAffine%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative-2' class="type"><code id='Representative.t-2'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTAffine%3E-1' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-TCategoryMul%3CTAffine%3E-1' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative-3' class="type"><code id='Representative.t-3'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-SuperTCategoryOf%3CTAffine%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.SuperTCategoryOf.html" title="trait nalgebra::geometry::SuperTCategoryOf">SuperTCategoryOf</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-SuperTCategoryOf%3CTAffine%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#142' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-SuperTCategoryOf%3CTAffine%3E-1' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.SuperTCategoryOf.html" title="trait nalgebra::geometry::SuperTCategoryOf">SuperTCategoryOf</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-SuperTCategoryOf%3CTAffine%3E-1' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#142' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Eq' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-Eq' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Clone' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-Clone' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.clone' class="method hidden"><code id='clone.v'>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone' class='fnname'>clone</a>(&amp;self) -&gt; <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></p>
</div><h4 id='method.clone_from' class="method hidden"><code id='clone_from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from' class='fnname'>clone_from</a>(&amp;mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</code><span class='since' title='Stable since Rust version 1.0.0'>1.0.0</span><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/clone.rs.html#131-133' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></p>
</div></div><h3 id='impl-PartialEq%3CTAffine%3E' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-PartialEq%3CTAffine%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.eq' class="method hidden"><code id='eq.v'>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq' class='fnname'>eq</a>(&amp;self, other: &amp;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used by <code>==</code>. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq">Read more</a></p>
</div><h4 id='method.ne' class="method hidden"><code id='ne.v'><span class="docblock attributes">#[must_use]
</span>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne' class='fnname'>ne</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Rhs) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><span class='since' title='Stable since Rust version 1.0.0'>1.0.0</span><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#208' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>This method tests for <code>!=</code>.</p>
</div></div><h3 id='impl-Copy' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-Copy' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Hash' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-Hash' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.hash' class="method hidden"><code id='hash.v'>fn <a href='https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash' class='fnname'>hash</a>&lt;__H:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>&gt;(&amp;self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>__H)</code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Feeds this value into the given [<code>Hasher</code>]. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></p>
</div><h4 id='method.hash_slice' class="method hidden"><code id='hash_slice.v'>fn <a href='https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice' class='fnname'>hash_slice</a>&lt;H&gt;(data: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">&amp;[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>H) <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,&nbsp;</span></code><span class='since' title='Stable since Rust version 1.3.0'>1.3.0</span><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#192-198' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Feeds a slice of this type into the given [<code>Hasher</code>]. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></p>
</div></div><h3 id='impl-Debug' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-Debug' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.fmt' class="method hidden"><code id='fmt.v'>fn <a href='https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt' class='fnname'>fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#69' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></div></div><h2 id='synthetic-implementations' class='small-section-header'>Auto Trait Implementations<a href='#synthetic-implementations' class='anchor'></a></h2><div id='synthetic-implementations-list'><h3 id='impl-Send' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-Send' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-Unpin' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-Unpin' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-Sync' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-Sync' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-UnwindSafe' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/std/panic/trait.UnwindSafe.html" title="trait std::panic::UnwindSafe">UnwindSafe</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-UnwindSafe' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-RefUnwindSafe' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/std/panic/trait.RefUnwindSafe.html" title="trait std::panic::RefUnwindSafe">RefUnwindSafe</a> for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-RefUnwindSafe' class='anchor'></a></h3><div class='impl-items'></div></div><h2 id='blanket-implementations' class='small-section-header'>Blanket Implementations<a href='#blanket-implementations' class='anchor'></a></h2><div id='blanket-implementations-list'><h3 id='impl-ToOwned' class='impl'><code class='in-band'>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>,&nbsp;</span></code><a href='#impl-ToOwned' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#81-92' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Owned' class="type"><code id='Owned.t'>type <a href='https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#associatedtype.Owned' class="type">Owned</a> = T</code></h4><div class='docblock'><p>The resulting type after obtaining ownership.</p>
</div><h4 id='method.to_owned' class="method hidden"><code id='to_owned.v'>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</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#85-87' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>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></p>
</div><h4 id='method.clone_into' class="method hidden"><code id='clone_into.v'>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)</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#89-91' title='goto source code'>[src]</a></h4><div class='stability hidden'><div class='stab unstable'><details><summary><span class='emoji'>🔬</span> This is a nightly-only experimental API. (<code>toowned_clone_into</code>)</summary><p>recently added</p>
</details></div></div><div class='docblock hidden'><p>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></p>
</div></div><h3 id='impl-Into%3CU%3E' class='impl'><code class='in-band'>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;,&nbsp;</span></code><a href='#impl-Into%3CU%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#544-549' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.into' class="method hidden"><code id='into.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.Into.html#tymethod.into' class='fnname'>into</a>(self) -&gt; U</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#546-548' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-From%3CT%3E' class='impl'><code class='in-band'>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</code><a href='#impl-From%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#553-555' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.from' class="method hidden"><code id='from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from' class='fnname'>from</a>(t: T) -&gt; T</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#554' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-TryFrom%3CU%3E' class='impl'><code class='in-band'>impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;T&gt;,&nbsp;</span></code><a href='#impl-TryFrom%3CU%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#572-578' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Error' class="type"><code id='Error.t'>type <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error' class="type">Error</a> = <a class="enum" href="https://doc.rust-lang.org/nightly/core/convert/enum.Infallible.html" title="enum core::convert::Infallible">Infallible</a></code></h4><div class='docblock'><p>The type returned in the event of a conversion error.</p>
</div><h4 id='method.try_from' class="method hidden"><code id='try_from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from' class='fnname'>try_from</a>(value: U) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;T, &lt;T as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt;&gt;::<a class="type" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#575-577' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-TryInto%3CU%3E' class='impl'><code class='in-band'>impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html" title="trait core::convert::TryInto">TryInto</a>&lt;U&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;,&nbsp;</span></code><a href='#impl-TryInto%3CU%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#560-567' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Error-1' class="type"><code id='Error.t-1'>type <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#associatedtype.Error' class="type">Error</a> = &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="type" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a></code></h4><div class='docblock'><p>The type returned in the event of a conversion error.</p>
</div><h4 id='method.try_into' class="method hidden"><code id='try_into.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#tymethod.try_into' class='fnname'>try_into</a>(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;U, &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="type" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#564-566' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-BorrowMut%3CT%3E' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></code><a href='#impl-BorrowMut%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#218-220' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.borrow_mut' class="method hidden"><code id='borrow_mut.v'>fn <a href='https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut' class='fnname'>borrow_mut</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#219' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></p>
</div></div><h3 id='impl-Borrow%3CT%3E' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></code><a href='#impl-Borrow%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#213-215' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.borrow' class="method hidden"><code id='borrow.v'>fn <a href='https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow' class='fnname'>borrow</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#214' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></p>
</div></div><h3 id='impl-Any' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></code><a href='#impl-Any' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/any.rs.html#100-102' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.type_id' class="method hidden"><code id='type_id.v'>fn <a href='https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id' class='fnname'>type_id</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/any.rs.html#101' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></p>
</div></div><h3 id='impl-Same%3CT%3E' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="../../typenum/type_operators/trait.Same.html" title="trait typenum::type_operators::Same">Same</a>&lt;T&gt; for T</code><a href='#impl-Same%3CT%3E' class='anchor'></a><a class='srclink' href='../../src/typenum/type_operators.rs.html#32-34' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Output' class="type"><code id='Output.t'>type <a href='../../typenum/type_operators/trait.Same.html#associatedtype.Output' class="type">Output</a> = T</code></h4><div class='docblock'><p>Should always be <code>Self</code></p>
</div></div><h3 id='impl-SupersetOf%3CSS%3E' class='impl'><code class='in-band'>impl&lt;SS, SP&gt; <a class="trait" href="../../alga/general/subset/trait.SupersetOf.html" title="trait alga::general::subset::SupersetOf">SupersetOf</a>&lt;SS&gt; for SP <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SS: <a class="trait" href="../../alga/general/subset/trait.SubsetOf.html" title="trait alga::general::subset::SubsetOf">SubsetOf</a>&lt;SP&gt;,&nbsp;</span></code><a href='#impl-SupersetOf%3CSS%3E' class='anchor'></a><a class='srclink' href='../../src/alga/general/subset.rs.html#87-107' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.to_subset' class="method hidden"><code id='to_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#method.to_subset' class='fnname'>to_subset</a>(&amp;self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;SS&gt;</code><a class='srclink' href='../../src/alga/general/subset.rs.html#89-91' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inverse inclusion map: attempts to construct <code>self</code> from the equivalent element of its superset. <a href="../../alga/general/subset/trait.SupersetOf.html#method.to_subset">Read more</a></p>
</div><h4 id='method.is_in_subset' class="method hidden"><code id='is_in_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.is_in_subset' class='fnname'>is_in_subset</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/alga/general/subset.rs.html#94-96' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Checks if <code>self</code> is actually part of its subset <code>T</code> (and can be converted to it).</p>
</div><h4 id='method.to_subset_unchecked' class="method hidden"><code id='to_subset_unchecked.v'>unsafe fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.to_subset_unchecked' class='fnname'>to_subset_unchecked</a>(&amp;self) -&gt; SS</code><a class='srclink' href='../../src/alga/general/subset.rs.html#99-101' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Use with care! Same as <code>self.to_subset</code> but without any property checks. Always succeeds.</p>
</div><h4 id='method.from_subset' class="method hidden"><code id='from_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.from_subset' class='fnname'>from_subset</a>(element: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>SS) -&gt; SP</code><a class='srclink' href='../../src/alga/general/subset.rs.html#104-106' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inclusion map: converts <code>self</code> to the equivalent element of its superset.</p>
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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 `TGeneral` enum in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, TGeneral"><title>nalgebra::geometry::TGeneral - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc enum"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Enum TGeneral</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#implementations">Trait Implementations</a><div class="sidebar-links"><a href="#impl-Clone">Clone</a><a href="#impl-Copy">Copy</a><a href="#impl-Debug">Debug</a><a href="#impl-Eq">Eq</a><a href="#impl-Hash">Hash</a><a href="#impl-PartialEq%3CTGeneral%3E">PartialEq&lt;TGeneral&gt;</a><a href="#impl-SuperTCategoryOf%3CTAffine%3E">SuperTCategoryOf&lt;TAffine&gt;</a><a href="#impl-SuperTCategoryOf%3CTProjective%3E">SuperTCategoryOf&lt;TProjective&gt;</a><a href="#impl-TCategory">TCategory</a><a href="#impl-TCategoryMul%3CTAffine%3E">TCategoryMul&lt;TAffine&gt;</a><a href="#impl-TCategoryMul%3CTGeneral%3E">TCategoryMul&lt;TGeneral&gt;</a><a href="#impl-TCategoryMul%3CTProjective%3E">TCategoryMul&lt;TProjective&gt;</a></div><a class="sidebar-title" href="#synthetic-implementations">Auto Trait Implementations</a><div class="sidebar-links"><a href="#impl-RefUnwindSafe">RefUnwindSafe</a><a href="#impl-Send">Send</a><a href="#impl-Sync">Sync</a><a href="#impl-Unpin">Unpin</a><a href="#impl-UnwindSafe">UnwindSafe</a></div><a class="sidebar-title" href="#blanket-implementations">Blanket Implementations</a><div class="sidebar-links"><a href="#impl-Any">Any</a><a href="#impl-Borrow%3CT%3E">Borrow&lt;T&gt;</a><a href="#impl-BorrowMut%3CT%3E">BorrowMut&lt;T&gt;</a><a href="#impl-From%3CT%3E">From&lt;T&gt;</a><a href="#impl-Into%3CU%3E">Into&lt;U&gt;</a><a href="#impl-Same%3CT%3E">Same&lt;T&gt;</a><a href="#impl-SupersetOf%3CSS%3E">SupersetOf&lt;SS&gt;</a><a href="#impl-ToOwned">ToOwned</a><a href="#impl-TryFrom%3CU%3E">TryFrom&lt;U&gt;</a><a href="#impl-TryInto%3CU%3E">TryInto&lt;U&gt;</a></div></div><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'TGeneral', ty: 'enum', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#62' title='goto source code'>[src]</a></span><span class='in-band'>Enum <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="enum" href=''>TGeneral</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust enum'>pub enum TGeneral {}</pre></div><div class='docblock'><p>Tag representing the most general (not necessarily inversible) <code>Transform</code> type.</p>
</div><h2 id='implementations' class='small-section-header'>Trait Implementations<a href='#implementations' class='anchor'></a></h2><div id='implementations-list'><h3 id='impl-TCategory' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategory.html" title="trait nalgebra::geometry::TCategory">TCategory</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-TCategory' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#72-81' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.check_homogeneous_invariants' class="method hidden"><code id='check_homogeneous_invariants.v'>fn <a href='../../nalgebra/geometry/trait.TCategory.html#tymethod.check_homogeneous_invariants' class='fnname'>check_homogeneous_invariants</a>&lt;N:&nbsp;<a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a>, D:&nbsp;<a class="trait" href="../../nalgebra/base/dimension/trait.DimName.html" title="trait nalgebra::base::dimension::DimName">DimName</a>&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;_: &amp;<a class="type" href="../../nalgebra/base/type.MatrixN.html" title="type nalgebra::base::MatrixN">MatrixN</a>&lt;N, D&gt;<br>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a> <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;N::<a class="type" href="../../approx/abs_diff_eq/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type approx::abs_diff_eq::AbsDiffEq::Epsilon">Epsilon</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;<a class="struct" href="../../nalgebra/base/default_allocator/struct.DefaultAllocator.html" title="struct nalgebra::base::default_allocator::DefaultAllocator">DefaultAllocator</a>: <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a>&lt;N, D, D&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#74-80' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Checks that the given matrix is a valid homogeneous representation of an element of the category <code>Self</code>. <a href="../../nalgebra/geometry/trait.TCategory.html#tymethod.check_homogeneous_invariants">Read more</a></p>
</div><h4 id='method.has_normalizer' class="method hidden"><code id='has_normalizer.v'>fn <a href='../../nalgebra/geometry/trait.TCategory.html#method.has_normalizer' class='fnname'>has_normalizer</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#25-27' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Indicates whether a <code>Transform</code> with the category <code>Self</code> has a bottom-row different from <code>0 0 .. 1</code>. <a href="../../nalgebra/geometry/trait.TCategory.html#method.has_normalizer">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTGeneral%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-TCategoryMul%3CTGeneral%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative' class="type"><code id='Representative.t'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTGeneral%3E-1' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-TCategoryMul%3CTGeneral%3E-1' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative-1' class="type"><code id='Representative.t-1'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTProjective%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-TCategoryMul%3CTProjective%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative-2' class="type"><code id='Representative.t-2'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTAffine%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-TCategoryMul%3CTAffine%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative-3' class="type"><code id='Representative.t-3'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-SuperTCategoryOf%3CTProjective%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.SuperTCategoryOf.html" title="trait nalgebra::geometry::SuperTCategoryOf">SuperTCategoryOf</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-SuperTCategoryOf%3CTProjective%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#142' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-SuperTCategoryOf%3CTAffine%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.SuperTCategoryOf.html" title="trait nalgebra::geometry::SuperTCategoryOf">SuperTCategoryOf</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-SuperTCategoryOf%3CTAffine%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#142' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Eq' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-Eq' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Clone' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-Clone' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.clone' class="method hidden"><code id='clone.v'>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone' class='fnname'>clone</a>(&amp;self) -&gt; <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></p>
</div><h4 id='method.clone_from' class="method hidden"><code id='clone_from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from' class='fnname'>clone_from</a>(&amp;mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</code><span class='since' title='Stable since Rust version 1.0.0'>1.0.0</span><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/clone.rs.html#131-133' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></p>
</div></div><h3 id='impl-PartialEq%3CTGeneral%3E' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-PartialEq%3CTGeneral%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.eq' class="method hidden"><code id='eq.v'>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq' class='fnname'>eq</a>(&amp;self, other: &amp;<a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used by <code>==</code>. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq">Read more</a></p>
</div><h4 id='method.ne' class="method hidden"><code id='ne.v'><span class="docblock attributes">#[must_use]
</span>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne' class='fnname'>ne</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Rhs) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><span class='since' title='Stable since Rust version 1.0.0'>1.0.0</span><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#208' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>This method tests for <code>!=</code>.</p>
</div></div><h3 id='impl-Copy' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-Copy' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Hash' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-Hash' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.hash' class="method hidden"><code id='hash.v'>fn <a href='https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash' class='fnname'>hash</a>&lt;__H:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>&gt;(&amp;self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>__H)</code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Feeds this value into the given [<code>Hasher</code>]. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></p>
</div><h4 id='method.hash_slice' class="method hidden"><code id='hash_slice.v'>fn <a href='https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice' class='fnname'>hash_slice</a>&lt;H&gt;(data: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">&amp;[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>H) <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,&nbsp;</span></code><span class='since' title='Stable since Rust version 1.3.0'>1.3.0</span><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#192-198' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Feeds a slice of this type into the given [<code>Hasher</code>]. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></p>
</div></div><h3 id='impl-Debug' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-Debug' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.fmt' class="method hidden"><code id='fmt.v'>fn <a href='https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt' class='fnname'>fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#61' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></div></div><h2 id='synthetic-implementations' class='small-section-header'>Auto Trait Implementations<a href='#synthetic-implementations' class='anchor'></a></h2><div id='synthetic-implementations-list'><h3 id='impl-Send' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-Send' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-Unpin' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-Unpin' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-Sync' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-Sync' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-UnwindSafe' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/std/panic/trait.UnwindSafe.html" title="trait std::panic::UnwindSafe">UnwindSafe</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-UnwindSafe' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-RefUnwindSafe' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/std/panic/trait.RefUnwindSafe.html" title="trait std::panic::RefUnwindSafe">RefUnwindSafe</a> for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-RefUnwindSafe' class='anchor'></a></h3><div class='impl-items'></div></div><h2 id='blanket-implementations' class='small-section-header'>Blanket Implementations<a href='#blanket-implementations' class='anchor'></a></h2><div id='blanket-implementations-list'><h3 id='impl-ToOwned' class='impl'><code class='in-band'>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>,&nbsp;</span></code><a href='#impl-ToOwned' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#81-92' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Owned' class="type"><code id='Owned.t'>type <a href='https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#associatedtype.Owned' class="type">Owned</a> = T</code></h4><div class='docblock'><p>The resulting type after obtaining ownership.</p>
</div><h4 id='method.to_owned' class="method hidden"><code id='to_owned.v'>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</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#85-87' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>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></p>
</div><h4 id='method.clone_into' class="method hidden"><code id='clone_into.v'>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)</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#89-91' title='goto source code'>[src]</a></h4><div class='stability hidden'><div class='stab unstable'><details><summary><span class='emoji'>🔬</span> This is a nightly-only experimental API. (<code>toowned_clone_into</code>)</summary><p>recently added</p>
</details></div></div><div class='docblock hidden'><p>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></p>
</div></div><h3 id='impl-Into%3CU%3E' class='impl'><code class='in-band'>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;,&nbsp;</span></code><a href='#impl-Into%3CU%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#544-549' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.into' class="method hidden"><code id='into.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.Into.html#tymethod.into' class='fnname'>into</a>(self) -&gt; U</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#546-548' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-From%3CT%3E' class='impl'><code class='in-band'>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</code><a href='#impl-From%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#553-555' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.from' class="method hidden"><code id='from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from' class='fnname'>from</a>(t: T) -&gt; T</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#554' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-TryFrom%3CU%3E' class='impl'><code class='in-band'>impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;T&gt;,&nbsp;</span></code><a href='#impl-TryFrom%3CU%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#572-578' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Error' class="type"><code id='Error.t'>type <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error' class="type">Error</a> = <a class="enum" href="https://doc.rust-lang.org/nightly/core/convert/enum.Infallible.html" title="enum core::convert::Infallible">Infallible</a></code></h4><div class='docblock'><p>The type returned in the event of a conversion error.</p>
</div><h4 id='method.try_from' class="method hidden"><code id='try_from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from' class='fnname'>try_from</a>(value: U) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;T, &lt;T as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt;&gt;::<a class="type" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#575-577' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-TryInto%3CU%3E' class='impl'><code class='in-band'>impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html" title="trait core::convert::TryInto">TryInto</a>&lt;U&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;,&nbsp;</span></code><a href='#impl-TryInto%3CU%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#560-567' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Error-1' class="type"><code id='Error.t-1'>type <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#associatedtype.Error' class="type">Error</a> = &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="type" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a></code></h4><div class='docblock'><p>The type returned in the event of a conversion error.</p>
</div><h4 id='method.try_into' class="method hidden"><code id='try_into.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#tymethod.try_into' class='fnname'>try_into</a>(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;U, &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="type" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#564-566' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-BorrowMut%3CT%3E' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></code><a href='#impl-BorrowMut%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#218-220' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.borrow_mut' class="method hidden"><code id='borrow_mut.v'>fn <a href='https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut' class='fnname'>borrow_mut</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#219' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></p>
</div></div><h3 id='impl-Borrow%3CT%3E' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></code><a href='#impl-Borrow%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#213-215' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.borrow' class="method hidden"><code id='borrow.v'>fn <a href='https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow' class='fnname'>borrow</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#214' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></p>
</div></div><h3 id='impl-Any' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></code><a href='#impl-Any' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/any.rs.html#100-102' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.type_id' class="method hidden"><code id='type_id.v'>fn <a href='https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id' class='fnname'>type_id</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/any.rs.html#101' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></p>
</div></div><h3 id='impl-Same%3CT%3E' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="../../typenum/type_operators/trait.Same.html" title="trait typenum::type_operators::Same">Same</a>&lt;T&gt; for T</code><a href='#impl-Same%3CT%3E' class='anchor'></a><a class='srclink' href='../../src/typenum/type_operators.rs.html#32-34' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Output' class="type"><code id='Output.t'>type <a href='../../typenum/type_operators/trait.Same.html#associatedtype.Output' class="type">Output</a> = T</code></h4><div class='docblock'><p>Should always be <code>Self</code></p>
</div></div><h3 id='impl-SupersetOf%3CSS%3E' class='impl'><code class='in-band'>impl&lt;SS, SP&gt; <a class="trait" href="../../alga/general/subset/trait.SupersetOf.html" title="trait alga::general::subset::SupersetOf">SupersetOf</a>&lt;SS&gt; for SP <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SS: <a class="trait" href="../../alga/general/subset/trait.SubsetOf.html" title="trait alga::general::subset::SubsetOf">SubsetOf</a>&lt;SP&gt;,&nbsp;</span></code><a href='#impl-SupersetOf%3CSS%3E' class='anchor'></a><a class='srclink' href='../../src/alga/general/subset.rs.html#87-107' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.to_subset' class="method hidden"><code id='to_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#method.to_subset' class='fnname'>to_subset</a>(&amp;self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;SS&gt;</code><a class='srclink' href='../../src/alga/general/subset.rs.html#89-91' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inverse inclusion map: attempts to construct <code>self</code> from the equivalent element of its superset. <a href="../../alga/general/subset/trait.SupersetOf.html#method.to_subset">Read more</a></p>
</div><h4 id='method.is_in_subset' class="method hidden"><code id='is_in_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.is_in_subset' class='fnname'>is_in_subset</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/alga/general/subset.rs.html#94-96' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Checks if <code>self</code> is actually part of its subset <code>T</code> (and can be converted to it).</p>
</div><h4 id='method.to_subset_unchecked' class="method hidden"><code id='to_subset_unchecked.v'>unsafe fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.to_subset_unchecked' class='fnname'>to_subset_unchecked</a>(&amp;self) -&gt; SS</code><a class='srclink' href='../../src/alga/general/subset.rs.html#99-101' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Use with care! Same as <code>self.to_subset</code> but without any property checks. Always succeeds.</p>
</div><h4 id='method.from_subset' class="method hidden"><code id='from_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.from_subset' class='fnname'>from_subset</a>(element: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>SS) -&gt; SP</code><a class='srclink' href='../../src/alga/general/subset.rs.html#104-106' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inclusion map: converts <code>self</code> to the equivalent element of its superset.</p>
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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 `TProjective` enum in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, TProjective"><title>nalgebra::geometry::TProjective - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc enum"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Enum TProjective</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#implementations">Trait Implementations</a><div class="sidebar-links"><a href="#impl-Clone">Clone</a><a href="#impl-Copy">Copy</a><a href="#impl-Debug">Debug</a><a href="#impl-Eq">Eq</a><a href="#impl-Hash">Hash</a><a href="#impl-PartialEq%3CTProjective%3E">PartialEq&lt;TProjective&gt;</a><a href="#impl-SuperTCategoryOf%3CTAffine%3E">SuperTCategoryOf&lt;TAffine&gt;</a><a href="#impl-SuperTCategoryOf%3CTProjective%3E">SuperTCategoryOf&lt;TProjective&gt;</a><a href="#impl-TCategory">TCategory</a><a href="#impl-TCategoryMul%3CTAffine%3E">TCategoryMul&lt;TAffine&gt;</a><a href="#impl-TCategoryMul%3CTGeneral%3E">TCategoryMul&lt;TGeneral&gt;</a><a href="#impl-TCategoryMul%3CTProjective%3E">TCategoryMul&lt;TProjective&gt;</a></div><a class="sidebar-title" href="#synthetic-implementations">Auto Trait Implementations</a><div class="sidebar-links"><a href="#impl-RefUnwindSafe">RefUnwindSafe</a><a href="#impl-Send">Send</a><a href="#impl-Sync">Sync</a><a href="#impl-Unpin">Unpin</a><a href="#impl-UnwindSafe">UnwindSafe</a></div><a class="sidebar-title" href="#blanket-implementations">Blanket Implementations</a><div class="sidebar-links"><a href="#impl-Any">Any</a><a href="#impl-Borrow%3CT%3E">Borrow&lt;T&gt;</a><a href="#impl-BorrowMut%3CT%3E">BorrowMut&lt;T&gt;</a><a href="#impl-From%3CT%3E">From&lt;T&gt;</a><a href="#impl-Into%3CU%3E">Into&lt;U&gt;</a><a href="#impl-Same%3CT%3E">Same&lt;T&gt;</a><a href="#impl-SupersetOf%3CSS%3E">SupersetOf&lt;SS&gt;</a><a href="#impl-ToOwned">ToOwned</a><a href="#impl-TryFrom%3CU%3E">TryFrom&lt;U&gt;</a><a href="#impl-TryInto%3CU%3E">TryInto&lt;U&gt;</a></div></div><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'TProjective', ty: 'enum', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#66' title='goto source code'>[src]</a></span><span class='in-band'>Enum <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="enum" href=''>TProjective</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust enum'>pub enum TProjective {}</pre></div><div class='docblock'><p>Tag representing the most general inversible <code>Transform</code> type.</p>
</div><h2 id='implementations' class='small-section-header'>Trait Implementations<a href='#implementations' class='anchor'></a></h2><div id='implementations-list'><h3 id='impl-TCategory' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategory.html" title="trait nalgebra::geometry::TCategory">TCategory</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-TCategory' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#83-92' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.check_homogeneous_invariants' class="method hidden"><code id='check_homogeneous_invariants.v'>fn <a href='../../nalgebra/geometry/trait.TCategory.html#tymethod.check_homogeneous_invariants' class='fnname'>check_homogeneous_invariants</a>&lt;N:&nbsp;<a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a>, D:&nbsp;<a class="trait" href="../../nalgebra/base/dimension/trait.DimName.html" title="trait nalgebra::base::dimension::DimName">DimName</a>&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;mat: &amp;<a class="type" href="../../nalgebra/base/type.MatrixN.html" title="type nalgebra::base::MatrixN">MatrixN</a>&lt;N, D&gt;<br>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a> <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;N::<a class="type" href="../../approx/abs_diff_eq/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type approx::abs_diff_eq::AbsDiffEq::Epsilon">Epsilon</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;<a class="struct" href="../../nalgebra/base/default_allocator/struct.DefaultAllocator.html" title="struct nalgebra::base::default_allocator::DefaultAllocator">DefaultAllocator</a>: <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a>&lt;N, D, D&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#85-91' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Checks that the given matrix is a valid homogeneous representation of an element of the category <code>Self</code>. <a href="../../nalgebra/geometry/trait.TCategory.html#tymethod.check_homogeneous_invariants">Read more</a></p>
</div><h4 id='method.has_normalizer' class="method hidden"><code id='has_normalizer.v'>fn <a href='../../nalgebra/geometry/trait.TCategory.html#method.has_normalizer' class='fnname'>has_normalizer</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#25-27' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Indicates whether a <code>Transform</code> with the category <code>Self</code> has a bottom-row different from <code>0 0 .. 1</code>. <a href="../../nalgebra/geometry/trait.TCategory.html#method.has_normalizer">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTGeneral%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-TCategoryMul%3CTGeneral%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative' class="type"><code id='Representative.t'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTProjective%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-TCategoryMul%3CTProjective%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative-1' class="type"><code id='Representative.t-1'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTProjective%3E-1' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a></code><a href='#impl-TCategoryMul%3CTProjective%3E-1' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative-2' class="type"><code id='Representative.t-2'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-TCategoryMul%3CTAffine%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.TCategoryMul.html" title="trait nalgebra::geometry::TCategoryMul">TCategoryMul</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-TCategoryMul%3CTAffine%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#115-117' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Representative-3' class="type"><code id='Representative.t-3'>type <a href='../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative' class="type">Representative</a> = <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code></h4><div class='docblock'><p>The transform category that results from the multiplication of a <code>Transform&lt;Self&gt;</code> to a <code>Transform&lt;Other&gt;</code>. This is usually equal to <code>Self</code> or <code>Other</code>, whichever is the most general category. <a href="../../nalgebra/geometry/trait.TCategoryMul.html#associatedtype.Representative">Read more</a></p>
</div></div><h3 id='impl-SuperTCategoryOf%3CTProjective%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.SuperTCategoryOf.html" title="trait nalgebra::geometry::SuperTCategoryOf">SuperTCategoryOf</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-SuperTCategoryOf%3CTProjective%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#142' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-SuperTCategoryOf%3CTAffine%3E' class='impl'><code class='in-band'>impl <a class="trait" href="../../nalgebra/geometry/trait.SuperTCategoryOf.html" title="trait nalgebra::geometry::SuperTCategoryOf">SuperTCategoryOf</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-SuperTCategoryOf%3CTAffine%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#142' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Eq' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-Eq' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Clone' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-Clone' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.clone' class="method hidden"><code id='clone.v'>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone' class='fnname'>clone</a>(&amp;self) -&gt; <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></p>
</div><h4 id='method.clone_from' class="method hidden"><code id='clone_from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from' class='fnname'>clone_from</a>(&amp;mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</code><span class='since' title='Stable since Rust version 1.0.0'>1.0.0</span><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/clone.rs.html#131-133' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></p>
</div></div><h3 id='impl-PartialEq%3CTProjective%3E' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>&lt;<a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-PartialEq%3CTProjective%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.eq' class="method hidden"><code id='eq.v'>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq' class='fnname'>eq</a>(&amp;self, other: &amp;<a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used by <code>==</code>. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq">Read more</a></p>
</div><h4 id='method.ne' class="method hidden"><code id='ne.v'><span class="docblock attributes">#[must_use]
</span>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne' class='fnname'>ne</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Rhs) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><span class='since' title='Stable since Rust version 1.0.0'>1.0.0</span><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#208' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>This method tests for <code>!=</code>.</p>
</div></div><h3 id='impl-Copy' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-Copy' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Hash' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-Hash' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.hash' class="method hidden"><code id='hash.v'>fn <a href='https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash' class='fnname'>hash</a>&lt;__H:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>&gt;(&amp;self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>__H)</code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Feeds this value into the given [<code>Hasher</code>]. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></p>
</div><h4 id='method.hash_slice' class="method hidden"><code id='hash_slice.v'>fn <a href='https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice' class='fnname'>hash_slice</a>&lt;H&gt;(data: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">&amp;[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>H) <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,&nbsp;</span></code><span class='since' title='Stable since Rust version 1.3.0'>1.3.0</span><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#192-198' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Feeds a slice of this type into the given [<code>Hasher</code>]. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></p>
</div></div><h3 id='impl-Debug' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-Debug' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.fmt' class="method hidden"><code id='fmt.v'>fn <a href='https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt' class='fnname'>fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></code><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#65' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></div></div><h2 id='synthetic-implementations' class='small-section-header'>Auto Trait Implementations<a href='#synthetic-implementations' class='anchor'></a></h2><div id='synthetic-implementations-list'><h3 id='impl-Send' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-Send' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-Unpin' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-Unpin' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-Sync' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-Sync' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-UnwindSafe' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/std/panic/trait.UnwindSafe.html" title="trait std::panic::UnwindSafe">UnwindSafe</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-UnwindSafe' class='anchor'></a></h3><div class='impl-items'></div><h3 id='impl-RefUnwindSafe' class='impl'><code class='in-band'>impl <a class="trait" href="https://doc.rust-lang.org/nightly/std/panic/trait.RefUnwindSafe.html" title="trait std::panic::RefUnwindSafe">RefUnwindSafe</a> for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-RefUnwindSafe' class='anchor'></a></h3><div class='impl-items'></div></div><h2 id='blanket-implementations' class='small-section-header'>Blanket Implementations<a href='#blanket-implementations' class='anchor'></a></h2><div id='blanket-implementations-list'><h3 id='impl-ToOwned' class='impl'><code class='in-band'>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>,&nbsp;</span></code><a href='#impl-ToOwned' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#81-92' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Owned' class="type"><code id='Owned.t'>type <a href='https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#associatedtype.Owned' class="type">Owned</a> = T</code></h4><div class='docblock'><p>The resulting type after obtaining ownership.</p>
</div><h4 id='method.to_owned' class="method hidden"><code id='to_owned.v'>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</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#85-87' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>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></p>
</div><h4 id='method.clone_into' class="method hidden"><code id='clone_into.v'>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)</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#89-91' title='goto source code'>[src]</a></h4><div class='stability hidden'><div class='stab unstable'><details><summary><span class='emoji'>🔬</span> This is a nightly-only experimental API. (<code>toowned_clone_into</code>)</summary><p>recently added</p>
</details></div></div><div class='docblock hidden'><p>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></p>
</div></div><h3 id='impl-Into%3CU%3E' class='impl'><code class='in-band'>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;,&nbsp;</span></code><a href='#impl-Into%3CU%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#544-549' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.into' class="method hidden"><code id='into.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.Into.html#tymethod.into' class='fnname'>into</a>(self) -&gt; U</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#546-548' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-From%3CT%3E' class='impl'><code class='in-band'>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</code><a href='#impl-From%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#553-555' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.from' class="method hidden"><code id='from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from' class='fnname'>from</a>(t: T) -&gt; T</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#554' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-TryFrom%3CU%3E' class='impl'><code class='in-band'>impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;T&gt;,&nbsp;</span></code><a href='#impl-TryFrom%3CU%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#572-578' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Error' class="type"><code id='Error.t'>type <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error' class="type">Error</a> = <a class="enum" href="https://doc.rust-lang.org/nightly/core/convert/enum.Infallible.html" title="enum core::convert::Infallible">Infallible</a></code></h4><div class='docblock'><p>The type returned in the event of a conversion error.</p>
</div><h4 id='method.try_from' class="method hidden"><code id='try_from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from' class='fnname'>try_from</a>(value: U) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;T, &lt;T as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt;&gt;::<a class="type" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#575-577' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-TryInto%3CU%3E' class='impl'><code class='in-band'>impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html" title="trait core::convert::TryInto">TryInto</a>&lt;U&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;,&nbsp;</span></code><a href='#impl-TryInto%3CU%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#560-567' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Error-1' class="type"><code id='Error.t-1'>type <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#associatedtype.Error' class="type">Error</a> = &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="type" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a></code></h4><div class='docblock'><p>The type returned in the event of a conversion error.</p>
</div><h4 id='method.try_into' class="method hidden"><code id='try_into.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#tymethod.try_into' class='fnname'>try_into</a>(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;U, &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="type" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#564-566' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-BorrowMut%3CT%3E' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></code><a href='#impl-BorrowMut%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#218-220' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.borrow_mut' class="method hidden"><code id='borrow_mut.v'>fn <a href='https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut' class='fnname'>borrow_mut</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#219' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></p>
</div></div><h3 id='impl-Borrow%3CT%3E' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></code><a href='#impl-Borrow%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#213-215' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.borrow' class="method hidden"><code id='borrow.v'>fn <a href='https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow' class='fnname'>borrow</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T</code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#214' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></p>
</div></div><h3 id='impl-Any' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></code><a href='#impl-Any' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/any.rs.html#100-102' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.type_id' class="method hidden"><code id='type_id.v'>fn <a href='https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id' class='fnname'>type_id</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></code><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/any.rs.html#101' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></p>
</div></div><h3 id='impl-Same%3CT%3E' class='impl'><code class='in-band'>impl&lt;T&gt; <a class="trait" href="../../typenum/type_operators/trait.Same.html" title="trait typenum::type_operators::Same">Same</a>&lt;T&gt; for T</code><a href='#impl-Same%3CT%3E' class='anchor'></a><a class='srclink' href='../../src/typenum/type_operators.rs.html#32-34' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Output' class="type"><code id='Output.t'>type <a href='../../typenum/type_operators/trait.Same.html#associatedtype.Output' class="type">Output</a> = T</code></h4><div class='docblock'><p>Should always be <code>Self</code></p>
</div></div><h3 id='impl-SupersetOf%3CSS%3E' class='impl'><code class='in-band'>impl&lt;SS, SP&gt; <a class="trait" href="../../alga/general/subset/trait.SupersetOf.html" title="trait alga::general::subset::SupersetOf">SupersetOf</a>&lt;SS&gt; for SP <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SS: <a class="trait" href="../../alga/general/subset/trait.SubsetOf.html" title="trait alga::general::subset::SubsetOf">SubsetOf</a>&lt;SP&gt;,&nbsp;</span></code><a href='#impl-SupersetOf%3CSS%3E' class='anchor'></a><a class='srclink' href='../../src/alga/general/subset.rs.html#87-107' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.to_subset' class="method hidden"><code id='to_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#method.to_subset' class='fnname'>to_subset</a>(&amp;self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;SS&gt;</code><a class='srclink' href='../../src/alga/general/subset.rs.html#89-91' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inverse inclusion map: attempts to construct <code>self</code> from the equivalent element of its superset. <a href="../../alga/general/subset/trait.SupersetOf.html#method.to_subset">Read more</a></p>
</div><h4 id='method.is_in_subset' class="method hidden"><code id='is_in_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.is_in_subset' class='fnname'>is_in_subset</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/alga/general/subset.rs.html#94-96' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Checks if <code>self</code> is actually part of its subset <code>T</code> (and can be converted to it).</p>
</div><h4 id='method.to_subset_unchecked' class="method hidden"><code id='to_subset_unchecked.v'>unsafe fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.to_subset_unchecked' class='fnname'>to_subset_unchecked</a>(&amp;self) -&gt; SS</code><a class='srclink' href='../../src/alga/general/subset.rs.html#99-101' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Use with care! Same as <code>self.to_subset</code> but without any property checks. Always succeeds.</p>
</div><h4 id='method.from_subset' class="method hidden"><code id='from_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.from_subset' class='fnname'>from_subset</a>(element: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>SS) -&gt; SP</code><a class='srclink' href='../../src/alga/general/subset.rs.html#104-106' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inclusion map: converts <code>self</code> to the equivalent element of its superset.</p>
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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 `geometry` mod in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, geometry"><title>nalgebra::geometry - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc mod"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Module geometry</p><div class="sidebar-elems"><div class="block items"><ul><li><a href="#structs">Structs</a></li><li><a href="#enums">Enums</a></li><li><a href="#traits">Traits</a></li><li><a href="#types">Type Definitions</a></li></ul></div><p class='location'><a href='../index.html'>nalgebra</a></p><script>window.sidebarCurrent = {name: 'geometry', ty: 'mod', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/mod.rs.html#1-96' title='goto source code'>[src]</a></span><span class='in-band'>Module <a href='../index.html'>nalgebra</a>::<wbr><a class="mod" href=''>geometry</a></span></h1><div class='docblock'><p>[Reexported at the root of this crate.] Data structures for points and usual transformations
(rotations, isometries, etc.)</p>
</div><h2 id='structs' class='section-header'><a href="#structs">Structs</a></h2>
<table><tr class='module-item'><td><a class="struct" href="struct.Isometry.html" title='nalgebra::geometry::Isometry struct'>Isometry</a></td><td class='docblock-short'><p>A direct isometry, i.e., a rotation followed by a translation, aka. a rigid-body motion, aka. an element of a Special Euclidean (SE) group.</p>
</td></tr><tr class='module-item'><td><a class="struct" href="struct.Orthographic3.html" title='nalgebra::geometry::Orthographic3 struct'>Orthographic3</a></td><td class='docblock-short'><p>A 3D orthographic projection stored as an homogeneous 4x4 matrix.</p>
</td></tr><tr class='module-item'><td><a class="struct" href="struct.Perspective3.html" title='nalgebra::geometry::Perspective3 struct'>Perspective3</a></td><td class='docblock-short'><p>A 3D perspective projection stored as an homogeneous 4x4 matrix.</p>
</td></tr><tr class='module-item'><td><a class="struct" href="struct.Point.html" title='nalgebra::geometry::Point struct'>Point</a></td><td class='docblock-short'><p>A point in a n-dimensional euclidean space.</p>
</td></tr><tr class='module-item'><td><a class="struct" href="struct.Quaternion.html" title='nalgebra::geometry::Quaternion struct'>Quaternion</a></td><td class='docblock-short'><p>A quaternion. See the type alias <code>UnitQuaternion = Unit&lt;Quaternion&gt;</code> for a quaternion
that may be used as a rotation.</p>
</td></tr><tr class='module-item'><td><a class="struct" href="struct.Reflection.html" title='nalgebra::geometry::Reflection struct'>Reflection</a></td><td class='docblock-short'><p>A reflection wrt. a plane.</p>
</td></tr><tr class='module-item'><td><a class="struct" href="struct.Rotation.html" title='nalgebra::geometry::Rotation struct'>Rotation</a></td><td class='docblock-short'><p>A rotation matrix.</p>
</td></tr><tr class='module-item'><td><a class="struct" href="struct.Similarity.html" title='nalgebra::geometry::Similarity struct'>Similarity</a></td><td class='docblock-short'><p>A similarity, i.e., an uniform scaling, followed by a rotation, followed by a translation.</p>
</td></tr><tr class='module-item'><td><a class="struct" href="struct.Transform.html" title='nalgebra::geometry::Transform struct'>Transform</a></td><td class='docblock-short'><p>A transformation matrix in homogeneous coordinates.</p>
</td></tr><tr class='module-item'><td><a class="struct" href="struct.Translation.html" title='nalgebra::geometry::Translation struct'>Translation</a></td><td class='docblock-short'><p>A translation.</p>
</td></tr></table><h2 id='enums' class='section-header'><a href="#enums">Enums</a></h2>
<table><tr class='module-item'><td><a class="enum" href="enum.TAffine.html" title='nalgebra::geometry::TAffine enum'>TAffine</a></td><td class='docblock-short'><p>Tag representing an affine <code>Transform</code>. Its bottom-row is equal to <code>(0, 0 ... 0, 1)</code>.</p>
</td></tr><tr class='module-item'><td><a class="enum" href="enum.TGeneral.html" title='nalgebra::geometry::TGeneral enum'>TGeneral</a></td><td class='docblock-short'><p>Tag representing the most general (not necessarily inversible) <code>Transform</code> type.</p>
</td></tr><tr class='module-item'><td><a class="enum" href="enum.TProjective.html" title='nalgebra::geometry::TProjective enum'>TProjective</a></td><td class='docblock-short'><p>Tag representing the most general inversible <code>Transform</code> type.</p>
</td></tr></table><h2 id='traits' class='section-header'><a href="#traits">Traits</a></h2>
<table><tr class='module-item'><td><a class="trait" href="trait.SubTCategoryOf.html" title='nalgebra::geometry::SubTCategoryOf trait'>SubTCategoryOf</a></td><td class='docblock-short'><p>Indicates that <code>Self</code> is a more specific <code>Transform</code> category than <code>Other</code>.</p>
</td></tr><tr class='module-item'><td><a class="trait" href="trait.SuperTCategoryOf.html" title='nalgebra::geometry::SuperTCategoryOf trait'>SuperTCategoryOf</a></td><td class='docblock-short'><p>Indicates that <code>Self</code> is a more general <code>Transform</code> category than <code>Other</code>.</p>
</td></tr><tr class='module-item'><td><a class="trait" href="trait.TCategory.html" title='nalgebra::geometry::TCategory trait'>TCategory</a></td><td class='docblock-short'><p>Trait implemented by phantom types identifying the projective transformation type.</p>
</td></tr><tr class='module-item'><td><a class="trait" href="trait.TCategoryMul.html" title='nalgebra::geometry::TCategoryMul trait'>TCategoryMul</a></td><td class='docblock-short'><p>Traits that gives the <code>Transform</code> category that is compatible with the result of the
multiplication of transformations with categories <code>Self</code> and <code>Other</code>.</p>
</td></tr></table><h2 id='types' class='section-header'><a href="#types">Type Definitions</a></h2>
<table><tr class='module-item'><td><a class="type" href="type.Affine2.html" title='nalgebra::geometry::Affine2 type'>Affine2</a></td><td class='docblock-short'><p>A 2D affine transformation. Stored as an homogeneous 3x3 matrix.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Affine3.html" title='nalgebra::geometry::Affine3 type'>Affine3</a></td><td class='docblock-short'><p>A 3D affine transformation. Stored as an homogeneous 4x4 matrix.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Isometry2.html" title='nalgebra::geometry::Isometry2 type'>Isometry2</a></td><td class='docblock-short'><p>A 2-dimensional direct isometry using a unit complex number for its rotational part. Also known as a rigid-body motion, or as an element of SE(2).</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Isometry3.html" title='nalgebra::geometry::Isometry3 type'>Isometry3</a></td><td class='docblock-short'><p>A 3-dimensional direct isometry using a unit quaternion for its rotational part. Also known as a rigid-body motion, or as an element of SE(3).</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.IsometryMatrix2.html" title='nalgebra::geometry::IsometryMatrix2 type'>IsometryMatrix2</a></td><td class='docblock-short'><p>A 2-dimensional direct isometry using a rotation matrix for its rotational part. Also known as a rigid-body motion, or as an element of SE(2).</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.IsometryMatrix3.html" title='nalgebra::geometry::IsometryMatrix3 type'>IsometryMatrix3</a></td><td class='docblock-short'><p>A 3-dimensional direct isometry using a rotation matrix for its rotational part. Also known as a rigid-body motion, or as an element of SE(3).</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Point1.html" title='nalgebra::geometry::Point1 type'>Point1</a></td><td class='docblock-short'><p>A statically sized 1-dimensional column point.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Point2.html" title='nalgebra::geometry::Point2 type'>Point2</a></td><td class='docblock-short'><p>A statically sized 2-dimensional column point.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Point3.html" title='nalgebra::geometry::Point3 type'>Point3</a></td><td class='docblock-short'><p>A statically sized 3-dimensional column point.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Point4.html" title='nalgebra::geometry::Point4 type'>Point4</a></td><td class='docblock-short'><p>A statically sized 4-dimensional column point.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Point5.html" title='nalgebra::geometry::Point5 type'>Point5</a></td><td class='docblock-short'><p>A statically sized 5-dimensional column point.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Point6.html" title='nalgebra::geometry::Point6 type'>Point6</a></td><td class='docblock-short'><p>A statically sized 6-dimensional column point.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Projective2.html" title='nalgebra::geometry::Projective2 type'>Projective2</a></td><td class='docblock-short'><p>An invertible 2D general transformation. Stored as an homogeneous 3x3 matrix.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Projective3.html" title='nalgebra::geometry::Projective3 type'>Projective3</a></td><td class='docblock-short'><p>An invertible 3D general transformation. Stored as an homogeneous 4x4 matrix.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Rotation2.html" title='nalgebra::geometry::Rotation2 type'>Rotation2</a></td><td class='docblock-short'><p>A 2-dimensional rotation matrix.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Rotation3.html" title='nalgebra::geometry::Rotation3 type'>Rotation3</a></td><td class='docblock-short'><p>A 3-dimensional rotation matrix.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Similarity2.html" title='nalgebra::geometry::Similarity2 type'>Similarity2</a></td><td class='docblock-short'><p>A 2-dimensional similarity.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Similarity3.html" title='nalgebra::geometry::Similarity3 type'>Similarity3</a></td><td class='docblock-short'><p>A 3-dimensional similarity.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.SimilarityMatrix2.html" title='nalgebra::geometry::SimilarityMatrix2 type'>SimilarityMatrix2</a></td><td class='docblock-short'><p>A 2-dimensional similarity using a rotation matrix for its rotation part.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.SimilarityMatrix3.html" title='nalgebra::geometry::SimilarityMatrix3 type'>SimilarityMatrix3</a></td><td class='docblock-short'><p>A 3-dimensional similarity using a rotation matrix for its rotation part.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Transform2.html" title='nalgebra::geometry::Transform2 type'>Transform2</a></td><td class='docblock-short'><p>A 2D general transformation that may not be invertible. Stored as an homogeneous 3x3 matrix.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Transform3.html" title='nalgebra::geometry::Transform3 type'>Transform3</a></td><td class='docblock-short'><p>A 3D general transformation that may not be inversible. Stored as an homogeneous 4x4 matrix.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Translation1.html" title='nalgebra::geometry::Translation1 type'>Translation1</a></td><td class='docblock-short'><p>A 1-dimensional translation.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Translation2.html" title='nalgebra::geometry::Translation2 type'>Translation2</a></td><td class='docblock-short'><p>A 2-dimensional translation.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Translation3.html" title='nalgebra::geometry::Translation3 type'>Translation3</a></td><td class='docblock-short'><p>A 3-dimensional translation.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Translation4.html" title='nalgebra::geometry::Translation4 type'>Translation4</a></td><td class='docblock-short'><p>A 4-dimensional translation.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Translation5.html" title='nalgebra::geometry::Translation5 type'>Translation5</a></td><td class='docblock-short'><p>A 5-dimensional translation.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.Translation6.html" title='nalgebra::geometry::Translation6 type'>Translation6</a></td><td class='docblock-short'><p>A 6-dimensional translation.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.UnitComplex.html" title='nalgebra::geometry::UnitComplex type'>UnitComplex</a></td><td class='docblock-short'><p>A complex number with a norm equal to 1.</p>
</td></tr><tr class='module-item'><td><a class="type" href="type.UnitQuaternion.html" title='nalgebra::geometry::UnitQuaternion type'>UnitQuaternion</a></td><td class='docblock-short'><p>A unit quaternions. May be used to represent a rotation.</p>
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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 `SubTCategoryOf` trait in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, SubTCategoryOf"><title>nalgebra::geometry::SubTCategoryOf - 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="http://nalgebra.org/img/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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Trait SubTCategoryOf</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'SubTCategoryOf', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#52' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="trait" href=''>SubTCategoryOf</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust trait'>pub trait SubTCategoryOf&lt;Other:&nbsp;<a class="trait" href="../../nalgebra/geometry/trait.TCategory.html" title="trait nalgebra::geometry::TCategory">TCategory</a>&gt;: <a class="trait" href="../../nalgebra/geometry/trait.TCategory.html" title="trait nalgebra::geometry::TCategory">TCategory</a> { }</pre></div><div class='docblock'><p>Indicates that <code>Self</code> is a more specific <code>Transform</code> category than <code>Other</code>.</p>
<p>Automatically implemented based on <code>SuperTCategoryOf</code>.</p>
</div>
<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-SubTCategoryOf%3CT2%3E' class='impl'><code class='in-band'>impl&lt;T1, T2&gt; SubTCategoryOf&lt;T2&gt; for T1 <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T1: <a class="trait" href="../../nalgebra/geometry/trait.TCategory.html" title="trait nalgebra::geometry::TCategory">TCategory</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;T2: <a class="trait" href="../../nalgebra/geometry/trait.SuperTCategoryOf.html" title="trait nalgebra::geometry::SuperTCategoryOf">SuperTCategoryOf</a>&lt;T1&gt;,&nbsp;</span></code><a href='#impl-SubTCategoryOf%3CT2%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#53-58' 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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<!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 `SuperTCategoryOf` trait in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, SuperTCategoryOf"><title>nalgebra::geometry::SuperTCategoryOf - 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="http://nalgebra.org/img/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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Trait SuperTCategoryOf</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'SuperTCategoryOf', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#47' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="trait" href=''>SuperTCategoryOf</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust trait'>pub trait SuperTCategoryOf&lt;Other:&nbsp;<a class="trait" href="../../nalgebra/geometry/trait.TCategory.html" title="trait nalgebra::geometry::TCategory">TCategory</a>&gt;: <a class="trait" href="../../nalgebra/geometry/trait.TCategory.html" title="trait nalgebra::geometry::TCategory">TCategory</a> { }</pre></div><div class='docblock'><p>Indicates that <code>Self</code> is a more general <code>Transform</code> category than <code>Other</code>.</p>
</div>
<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-SuperTCategoryOf%3CTAffine%3E' class='impl'><code class='in-band'>impl SuperTCategoryOf&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-SuperTCategoryOf%3CTAffine%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#142' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-SuperTCategoryOf%3CTAffine%3E-1' class='impl'><code class='in-band'>impl SuperTCategoryOf&lt;<a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a></code><a href='#impl-SuperTCategoryOf%3CTAffine%3E-1' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#142' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-SuperTCategoryOf%3CTProjective%3E' class='impl'><code class='in-band'>impl SuperTCategoryOf&lt;<a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt; for <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a></code><a href='#impl-SuperTCategoryOf%3CTProjective%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#142' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-SuperTCategoryOf%3CT%3E' class='impl'><code class='in-band'>impl&lt;T:&nbsp;<a class="trait" href="../../nalgebra/geometry/trait.TCategory.html" title="trait nalgebra::geometry::TCategory">TCategory</a>&gt; SuperTCategoryOf&lt;T&gt; for T</code><a href='#impl-SuperTCategoryOf%3CT%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/transform.rs.html#146' 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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<!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 `Affine2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Affine2"><title>nalgebra::geometry::Affine2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Affine2</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Affine2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform_alias.rs.html#10' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Affine2</a></span></h1><pre class='rust typedef'>type Affine2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Transform.html" title="struct nalgebra::geometry::Transform">Transform</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, <a class="enum" href="../../nalgebra/geometry/enum.TAffine.html" title="enum nalgebra::geometry::TAffine">TAffine</a>&gt;;</pre><div class='docblock'><p>A 2D affine transformation. Stored as an homogeneous 3x3 matrix.</p>
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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 `Isometry2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Isometry2"><title>nalgebra::geometry::Isometry2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Isometry2</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Isometry2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/isometry_alias.rs.html#6' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Isometry2</a></span></h1><pre class='rust typedef'>type Isometry2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Isometry.html" title="struct nalgebra::geometry::Isometry">Isometry</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, <a class="type" href="../../nalgebra/geometry/type.UnitComplex.html" title="type nalgebra::geometry::UnitComplex">UnitComplex</a>&lt;N&gt;&gt;;</pre><div class='docblock'><p>A 2-dimensional direct isometry using a unit complex number for its rotational part. Also known as a rigid-body motion, or as an element of SE(2).</p>
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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 `Isometry3` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Isometry3"><title>nalgebra::geometry::Isometry3 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Isometry3</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Isometry3', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/isometry_alias.rs.html#9' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Isometry3</a></span></h1><pre class='rust typedef'>type Isometry3&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Isometry.html" title="struct nalgebra::geometry::Isometry">Isometry</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, <a class="type" href="../../nalgebra/geometry/type.UnitQuaternion.html" title="type nalgebra::geometry::UnitQuaternion">UnitQuaternion</a>&lt;N&gt;&gt;;</pre><div class='docblock'><p>A 3-dimensional direct isometry using a unit quaternion for its rotational part. Also known as a rigid-body motion, or as an element of SE(3).</p>
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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 `IsometryMatrix2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, IsometryMatrix2"><title>nalgebra::geometry::IsometryMatrix2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition IsometryMatrix2</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'IsometryMatrix2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/isometry_alias.rs.html#12' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>IsometryMatrix2</a></span></h1><pre class='rust typedef'>type IsometryMatrix2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Isometry.html" title="struct nalgebra::geometry::Isometry">Isometry</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, <a class="type" href="../../nalgebra/geometry/type.Rotation2.html" title="type nalgebra::geometry::Rotation2">Rotation2</a>&lt;N&gt;&gt;;</pre><div class='docblock'><p>A 2-dimensional direct isometry using a rotation matrix for its rotational part. Also known as a rigid-body motion, or as an element of SE(2).</p>
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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 `IsometryMatrix3` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, IsometryMatrix3"><title>nalgebra::geometry::IsometryMatrix3 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition IsometryMatrix3</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'IsometryMatrix3', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/isometry_alias.rs.html#15' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>IsometryMatrix3</a></span></h1><pre class='rust typedef'>type IsometryMatrix3&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Isometry.html" title="struct nalgebra::geometry::Isometry">Isometry</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, <a class="type" href="../../nalgebra/geometry/type.Rotation3.html" title="type nalgebra::geometry::Rotation3">Rotation3</a>&lt;N&gt;&gt;;</pre><div class='docblock'><p>A 3-dimensional direct isometry using a rotation matrix for its rotational part. Also known as a rigid-body motion, or as an element of SE(3).</p>
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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 `Point1` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Point1"><title>nalgebra::geometry::Point1 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Point1</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Point1', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/point_alias.rs.html#6' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Point1</a></span></h1><pre class='rust typedef'>type Point1&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Point.html" title="struct nalgebra::geometry::Point">Point</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U1.html" title="struct nalgebra::base::dimension::U1">U1</a>&gt;;</pre><div class='docblock'><p>A statically sized 1-dimensional column point.</p>
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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 `Point2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Point2"><title>nalgebra::geometry::Point2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Point2</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Point2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/point_alias.rs.html#8' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Point2</a></span></h1><pre class='rust typedef'>type Point2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Point.html" title="struct nalgebra::geometry::Point">Point</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>&gt;;</pre><div class='docblock'><p>A statically sized 2-dimensional column point.</p>
</div></section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help dialog</dd><dt><kbd>S</kbd></dt><dd>Focus the search field</dd><dt><kbd>↑</kbd></dt><dd>Move up in search results</dd><dt><kbd>↓</kbd></dt><dd>Move down in search results</dd><dt><kbd>↹</kbd></dt><dd>Switch tab</dd><dt><kbd>&#9166;</kbd></dt><dd>Go to active search result</dd><dt><kbd>+</kbd></dt><dd>Expand all sections</dd><dt><kbd>-</kbd></dt><dd>Collapse all sections</dd></dl></div><div class="infos"><h2>Search Tricks</h2><p>Prefix searches with a type followed by a colon (e.g., <code>fn:</code>) to restrict the search to a given type.</p><p>Accepted types are: <code>fn</code>, <code>mod</code>, <code>struct</code>, <code>enum</code>, <code>trait</code>, <code>type</code>, <code>macro</code>, and <code>const</code>.</p><p>Search functions by type signature (e.g., <code>vec -> usize</code> or <code>* -> vec</code>)</p><p>Search multiple things at once by splitting your query with comma (e.g., <code>str,u8</code> or <code>String,struct:Vec,test</code>)</p></div></div></aside><script>window.rootPath = "../../";window.currentCrate = "nalgebra";</script><script src="../../aliases.js"></script><script src="../../main.js"></script><script defer src="../../search-index.js"></script></body></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="API documentation for the Rust `Point3` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Point3"><title>nalgebra::geometry::Point3 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Point3</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Point3', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/point_alias.rs.html#10' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Point3</a></span></h1><pre class='rust typedef'>type Point3&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Point.html" title="struct nalgebra::geometry::Point">Point</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;;</pre><div class='docblock'><p>A statically sized 3-dimensional column point.</p>
</div></section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help dialog</dd><dt><kbd>S</kbd></dt><dd>Focus the search field</dd><dt><kbd>↑</kbd></dt><dd>Move up in search results</dd><dt><kbd>↓</kbd></dt><dd>Move down in search results</dd><dt><kbd>↹</kbd></dt><dd>Switch tab</dd><dt><kbd>&#9166;</kbd></dt><dd>Go to active search result</dd><dt><kbd>+</kbd></dt><dd>Expand all sections</dd><dt><kbd>-</kbd></dt><dd>Collapse all sections</dd></dl></div><div class="infos"><h2>Search Tricks</h2><p>Prefix searches with a type followed by a colon (e.g., <code>fn:</code>) to restrict the search to a given type.</p><p>Accepted types are: <code>fn</code>, <code>mod</code>, <code>struct</code>, <code>enum</code>, <code>trait</code>, <code>type</code>, <code>macro</code>, and <code>const</code>.</p><p>Search functions by type signature (e.g., <code>vec -> usize</code> or <code>* -> vec</code>)</p><p>Search multiple things at once by splitting your query with comma (e.g., <code>str,u8</code> or <code>String,struct:Vec,test</code>)</p></div></div></aside><script>window.rootPath = "../../";window.currentCrate = "nalgebra";</script><script src="../../aliases.js"></script><script src="../../main.js"></script><script defer src="../../search-index.js"></script></body></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="API documentation for the Rust `Point4` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Point4"><title>nalgebra::geometry::Point4 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Point4</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Point4', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/point_alias.rs.html#12' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Point4</a></span></h1><pre class='rust typedef'>type Point4&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Point.html" title="struct nalgebra::geometry::Point">Point</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U4.html" title="struct nalgebra::base::dimension::U4">U4</a>&gt;;</pre><div class='docblock'><p>A statically sized 4-dimensional column point.</p>
</div></section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help dialog</dd><dt><kbd>S</kbd></dt><dd>Focus the search field</dd><dt><kbd>↑</kbd></dt><dd>Move up in search results</dd><dt><kbd>↓</kbd></dt><dd>Move down in search results</dd><dt><kbd>↹</kbd></dt><dd>Switch tab</dd><dt><kbd>&#9166;</kbd></dt><dd>Go to active search result</dd><dt><kbd>+</kbd></dt><dd>Expand all sections</dd><dt><kbd>-</kbd></dt><dd>Collapse all sections</dd></dl></div><div class="infos"><h2>Search Tricks</h2><p>Prefix searches with a type followed by a colon (e.g., <code>fn:</code>) to restrict the search to a given type.</p><p>Accepted types are: <code>fn</code>, <code>mod</code>, <code>struct</code>, <code>enum</code>, <code>trait</code>, <code>type</code>, <code>macro</code>, and <code>const</code>.</p><p>Search functions by type signature (e.g., <code>vec -> usize</code> or <code>* -> vec</code>)</p><p>Search multiple things at once by splitting your query with comma (e.g., <code>str,u8</code> or <code>String,struct:Vec,test</code>)</p></div></div></aside><script>window.rootPath = "../../";window.currentCrate = "nalgebra";</script><script src="../../aliases.js"></script><script src="../../main.js"></script><script defer src="../../search-index.js"></script></body></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="API documentation for the Rust `Point5` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Point5"><title>nalgebra::geometry::Point5 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Point5</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Point5', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/point_alias.rs.html#14' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Point5</a></span></h1><pre class='rust typedef'>type Point5&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Point.html" title="struct nalgebra::geometry::Point">Point</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U5.html" title="struct nalgebra::base::dimension::U5">U5</a>&gt;;</pre><div class='docblock'><p>A statically sized 5-dimensional column point.</p>
</div></section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help dialog</dd><dt><kbd>S</kbd></dt><dd>Focus the search field</dd><dt><kbd>↑</kbd></dt><dd>Move up in search results</dd><dt><kbd>↓</kbd></dt><dd>Move down in search results</dd><dt><kbd>↹</kbd></dt><dd>Switch tab</dd><dt><kbd>&#9166;</kbd></dt><dd>Go to active search result</dd><dt><kbd>+</kbd></dt><dd>Expand all sections</dd><dt><kbd>-</kbd></dt><dd>Collapse all sections</dd></dl></div><div class="infos"><h2>Search Tricks</h2><p>Prefix searches with a type followed by a colon (e.g., <code>fn:</code>) to restrict the search to a given type.</p><p>Accepted types are: <code>fn</code>, <code>mod</code>, <code>struct</code>, <code>enum</code>, <code>trait</code>, <code>type</code>, <code>macro</code>, and <code>const</code>.</p><p>Search functions by type signature (e.g., <code>vec -> usize</code> or <code>* -> vec</code>)</p><p>Search multiple things at once by splitting your query with comma (e.g., <code>str,u8</code> or <code>String,struct:Vec,test</code>)</p></div></div></aside><script>window.rootPath = "../../";window.currentCrate = "nalgebra";</script><script src="../../aliases.js"></script><script src="../../main.js"></script><script defer src="../../search-index.js"></script></body></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="API documentation for the Rust `Point6` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Point6"><title>nalgebra::geometry::Point6 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Point6</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Point6', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/point_alias.rs.html#16' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Point6</a></span></h1><pre class='rust typedef'>type Point6&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Point.html" title="struct nalgebra::geometry::Point">Point</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U6.html" title="struct nalgebra::base::dimension::U6">U6</a>&gt;;</pre><div class='docblock'><p>A statically sized 6-dimensional column point.</p>
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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 `Projective2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Projective2"><title>nalgebra::geometry::Projective2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Projective2</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Projective2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform_alias.rs.html#8' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Projective2</a></span></h1><pre class='rust typedef'>type Projective2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Transform.html" title="struct nalgebra::geometry::Transform">Transform</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt;;</pre><div class='docblock'><p>An invertible 2D general transformation. Stored as an homogeneous 3x3 matrix.</p>
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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 `Projective3` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Projective3"><title>nalgebra::geometry::Projective3 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Projective3</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Projective3', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform_alias.rs.html#15' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Projective3</a></span></h1><pre class='rust typedef'>type Projective3&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Transform.html" title="struct nalgebra::geometry::Transform">Transform</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, <a class="enum" href="../../nalgebra/geometry/enum.TProjective.html" title="enum nalgebra::geometry::TProjective">TProjective</a>&gt;;</pre><div class='docblock'><p>An invertible 3D general transformation. Stored as an homogeneous 4x4 matrix.</p>
</div></section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help dialog</dd><dt><kbd>S</kbd></dt><dd>Focus the search field</dd><dt><kbd>↑</kbd></dt><dd>Move up in search results</dd><dt><kbd>↓</kbd></dt><dd>Move down in search results</dd><dt><kbd>↹</kbd></dt><dd>Switch tab</dd><dt><kbd>&#9166;</kbd></dt><dd>Go to active search result</dd><dt><kbd>+</kbd></dt><dd>Expand all sections</dd><dt><kbd>-</kbd></dt><dd>Collapse all sections</dd></dl></div><div class="infos"><h2>Search Tricks</h2><p>Prefix searches with a type followed by a colon (e.g., <code>fn:</code>) to restrict the search to a given type.</p><p>Accepted types are: <code>fn</code>, <code>mod</code>, <code>struct</code>, <code>enum</code>, <code>trait</code>, <code>type</code>, <code>macro</code>, and <code>const</code>.</p><p>Search functions by type signature (e.g., <code>vec -> usize</code> or <code>* -> vec</code>)</p><p>Search multiple things at once by splitting your query with comma (e.g., <code>str,u8</code> or <code>String,struct:Vec,test</code>)</p></div></div></aside><script>window.rootPath = "../../";window.currentCrate = "nalgebra";</script><script src="../../aliases.js"></script><script src="../../main.js"></script><script defer src="../../search-index.js"></script></body></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="API documentation for the Rust `Rotation2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Rotation2"><title>nalgebra::geometry::Rotation2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Rotation2</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#methods">Methods</a><div class="sidebar-links"><a href="#method.angle">angle</a><a href="#method.angle_to">angle_to</a><a href="#method.from_matrix">from_matrix</a><a href="#method.from_matrix_eps">from_matrix_eps</a><a href="#method.from_scaled_axis">from_scaled_axis</a><a href="#method.new">new</a><a href="#method.powf">powf</a><a href="#method.renormalize">renormalize</a><a href="#method.rotation_between">rotation_between</a><a href="#method.rotation_to">rotation_to</a><a href="#method.scaled_axis">scaled_axis</a><a href="#method.scaled_rotation_between">scaled_rotation_between</a></div><a class="sidebar-title" href="#implementations">Trait Implementations</a><div class="sidebar-links"><a href="#impl-From%3CUnit%3CComplex%3CN%3E%3E%3E">From&lt;Unit&lt;Complex&lt;N&gt;&gt;&gt;</a><a href="#impl-SubsetOf%3CUnit%3CComplex%3CN2%3E%3E%3E">SubsetOf&lt;Unit&lt;Complex&lt;N2&gt;&gt;&gt;</a></div></div><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Rotation2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/rotation_alias.rs.html#6' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Rotation2</a></span></h1><pre class='rust typedef'>type Rotation2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Rotation.html" title="struct nalgebra::geometry::Rotation">Rotation</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>&gt;;</pre><div class='docblock'><p>A 2-dimensional rotation matrix.</p>
</div><h2 id='methods' class='small-section-header'>Methods<a href='#methods' class='anchor'></a></h2><h3 id='impl' class='impl'><code class='in-band'>impl&lt;N:&nbsp;<a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a>&gt; <a class="type" href="../../nalgebra/geometry/type.Rotation2.html" title="type nalgebra::geometry::Rotation2">Rotation2</a>&lt;N&gt;</code><a href='#impl' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#23-231' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.new' class="method"><code id='new.v'>pub fn <a href='#method.new' class='fnname'>new</a>(angle: N) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#36-39' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a 2 dimensional rotation matrix from an angle in radian.</p>
<h1 id="example" class="section-header"><a href="#example">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">new</span>(<span class="ident">f32</span>::<span class="ident">consts</span>::<span class="ident">FRAC_PI_2</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">Point2</span>::<span class="ident">new</span>(<span class="number">3.0</span>, <span class="number">4.0</span>), <span class="ident">Point2</span>::<span class="ident">new</span>(<span class="op">-</span><span class="number">4.0</span>, <span class="number">3.0</span>));</pre></div>
</div><h4 id='method.from_scaled_axis' class="method"><code id='from_scaled_axis.v'>pub fn <a href='#method.from_scaled_axis' class='fnname'>from_scaled_axis</a>&lt;SB:&nbsp;<a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U1.html" title="struct nalgebra::base::dimension::U1">U1</a>&gt;&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;axisangle: <a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U1.html" title="struct nalgebra::base::dimension::U1">U1</a>, SB&gt;<br>) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#47-49' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a 2 dimensional rotation matrix from an angle in radian wrapped in a 1-dimensional vector.</p>
<p>This is generally used in the context of generic programming. Using
the <code>::new(angle)</code> method instead is more common.</p>
</div><h4 id='method.from_matrix' class="method"><code id='from_matrix.v'>pub fn <a href='#method.from_matrix' class='fnname'>from_matrix</a>(m: &amp;<a class="type" href="../../nalgebra/base/type.Matrix2.html" title="type nalgebra::base::Matrix2">Matrix2</a>&lt;N&gt;) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#56-58' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a rotation matrix by extracting the rotation part of the given transformation <code>m</code>.</p>
<p>This is an iterative method. See <code>.from_matrix_eps</code> to provide mover
convergence parameters and starting solution.
This implements &quot;A Robust Method to Extract the Rotational Part of Deformations&quot; by Müller et al.</p>
</div><h4 id='method.from_matrix_eps' class="method"><code id='from_matrix_eps.v'>pub fn <a href='#method.from_matrix_eps' class='fnname'>from_matrix_eps</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;m: &amp;<a class="type" href="../../nalgebra/base/type.Matrix2.html" title="type nalgebra::base::Matrix2">Matrix2</a>&lt;N&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;eps: N, <br>&nbsp;&nbsp;&nbsp;&nbsp;max_iter: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;guess: Self<br>) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#72-94' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a rotation matrix by extracting the rotation part of the given transformation <code>m</code>.</p>
<p>This implements &quot;A Robust Method to Extract the Rotational Part of Deformations&quot; by Müller et al.</p>
<h1 id="parameters" class="section-header"><a href="#parameters">Parameters</a></h1>
<ul>
<li><code>m</code>: the matrix from which the rotational part is to be extracted.</li>
<li><code>eps</code>: the angular errors tolerated between the current rotation and the optimal one.</li>
<li><code>max_iter</code>: the maximum number of iterations. Loops indefinitely until convergence if set to <code>0</code>.</li>
<li><code>guess</code>: an estimate of the solution. Convergence will be significantly faster if an initial solution close
to the actual solution is provided. Can be set to <code>Rotation2::identity()</code> if no other
guesses come to mind.</li>
</ul>
</div><h4 id='method.rotation_between' class="method"><code id='rotation_between.v'>pub fn <a href='#method.rotation_between' class='fnname'>rotation_between</a>&lt;SB, SC&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;a: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, SB&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, SC&gt;<br>) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SB: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;SC: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#111-117' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation matrix required to align <code>a</code> and <code>b</code> but with its angle.</p>
<p>This is the rotation <code>R</code> such that <code>(R * a).angle(b) == 0 &amp;&amp; (R * a).dot(b).is_positive()</code>.</p>
<h1 id="example-1" class="section-header"><a href="#example-1">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">a</span> <span class="op">=</span> <span class="ident">Vector2</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>);
<span class="kw">let</span> <span class="ident">b</span> <span class="op">=</span> <span class="ident">Vector2</span>::<span class="ident">new</span>(<span class="number">2.0</span>, <span class="number">1.0</span>);
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">rotation_between</span>(<span class="kw-2">&amp;</span><span class="ident">a</span>, <span class="kw-2">&amp;</span><span class="ident">b</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">a</span>, <span class="ident">b</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">inverse</span>() <span class="op">*</span> <span class="ident">b</span>, <span class="ident">a</span>);</pre></div>
</div><h4 id='method.scaled_rotation_between' class="method"><code id='scaled_rotation_between.v'>pub fn <a href='#method.scaled_rotation_between' class='fnname'>scaled_rotation_between</a>&lt;SB, SC&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;a: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, SB&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, SC&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;s: N<br>) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SB: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;SC: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#134-144' title='goto source code'>[src]</a></h4><div class='docblock'><p>The smallest rotation needed to make <code>a</code> and <code>b</code> collinear and point toward the same
direction, raised to the power <code>s</code>.</p>
<h1 id="example-2" class="section-header"><a href="#example-2">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">a</span> <span class="op">=</span> <span class="ident">Vector2</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>);
<span class="kw">let</span> <span class="ident">b</span> <span class="op">=</span> <span class="ident">Vector2</span>::<span class="ident">new</span>(<span class="number">2.0</span>, <span class="number">1.0</span>);
<span class="kw">let</span> <span class="ident">rot2</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">scaled_rotation_between</span>(<span class="kw-2">&amp;</span><span class="ident">a</span>, <span class="kw-2">&amp;</span><span class="ident">b</span>, <span class="number">0.2</span>);
<span class="kw">let</span> <span class="ident">rot5</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">scaled_rotation_between</span>(<span class="kw-2">&amp;</span><span class="ident">a</span>, <span class="kw-2">&amp;</span><span class="ident">b</span>, <span class="number">0.5</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot2</span> <span class="op">*</span> <span class="ident">rot2</span> <span class="op">*</span> <span class="ident">rot2</span> <span class="op">*</span> <span class="ident">rot2</span> <span class="op">*</span> <span class="ident">rot2</span> <span class="op">*</span> <span class="ident">a</span>, <span class="ident">b</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot5</span> <span class="op">*</span> <span class="ident">rot5</span> <span class="op">*</span> <span class="ident">a</span>, <span class="ident">b</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);</pre></div>
</div><h4 id='method.angle' class="method"><code id='angle.v'>pub fn <a href='#method.angle' class='fnname'>angle</a>(&amp;self) -&gt; N</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#156-158' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation angle.</p>
<h1 id="example-3" class="section-header"><a href="#example-3">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">new</span>(<span class="number">1.78</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">angle</span>(), <span class="number">1.78</span>);</pre></div>
</div><h4 id='method.angle_to' class="method"><code id='angle_to.v'>pub fn <a href='#method.angle_to' class='fnname'>angle_to</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self) -&gt; N</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#171-173' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation angle needed to make <code>self</code> and <code>other</code> coincide.</p>
<h1 id="example-4" class="section-header"><a href="#example-4">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">rot1</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">new</span>(<span class="number">0.1</span>);
<span class="kw">let</span> <span class="ident">rot2</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">new</span>(<span class="number">1.7</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot1</span>.<span class="ident">angle_to</span>(<span class="kw-2">&amp;</span><span class="ident">rot2</span>), <span class="number">1.6</span>);</pre></div>
</div><h4 id='method.rotation_to' class="method"><code id='rotation_to.v'>pub fn <a href='#method.rotation_to' class='fnname'>rotation_to</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#191-193' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation matrix needed to make <code>self</code> and <code>other</code> coincide.</p>
<p>The result is such that: <code>self.rotation_to(other) * self == other</code>.</p>
<h1 id="example-5" class="section-header"><a href="#example-5">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">rot1</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">new</span>(<span class="number">0.1</span>);
<span class="kw">let</span> <span class="ident">rot2</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">new</span>(<span class="number">1.7</span>);
<span class="kw">let</span> <span class="ident">rot_to</span> <span class="op">=</span> <span class="ident">rot1</span>.<span class="ident">rotation_to</span>(<span class="kw-2">&amp;</span><span class="ident">rot2</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot_to</span> <span class="op">*</span> <span class="ident">rot1</span>, <span class="ident">rot2</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot_to</span>.<span class="ident">inverse</span>() <span class="op">*</span> <span class="ident">rot2</span>, <span class="ident">rot1</span>);</pre></div>
</div><h4 id='method.renormalize' class="method"><code id='renormalize.v'>pub fn <a href='#method.renormalize' class='fnname'>renormalize</a>(&amp;mut self)</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#199-204' title='goto source code'>[src]</a></h4><div class='docblock'><p>Ensure this rotation is an orthonormal rotation matrix. This is useful when repeated
computations might cause the matrix from progressively not being orthonormal anymore.</p>
</div><h4 id='method.powf' class="method"><code id='powf.v'>pub fn <a href='#method.powf' class='fnname'>powf</a>(&amp;self, n: N) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#219-221' title='goto source code'>[src]</a></h4><div class='docblock'><p>Raise the quaternion to a given floating power, i.e., returns the rotation with the angle
of <code>self</code> multiplied by <code>n</code>.</p>
<h1 id="example-6" class="section-header"><a href="#example-6">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">new</span>(<span class="number">0.78</span>);
<span class="kw">let</span> <span class="ident">pow</span> <span class="op">=</span> <span class="ident">rot</span>.<span class="ident">powf</span>(<span class="number">2.0</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">pow</span>.<span class="ident">angle</span>(), <span class="number">2.0</span> <span class="op">*</span> <span class="number">0.78</span>);</pre></div>
</div><h4 id='method.scaled_axis' class="method"><code id='scaled_axis.v'>pub fn <a href='#method.scaled_axis' class='fnname'>scaled_axis</a>(&amp;self) -&gt; <a class="type" href="../../nalgebra/base/type.VectorN.html" title="type nalgebra::base::VectorN">VectorN</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U1.html" title="struct nalgebra::base::dimension::U1">U1</a>&gt;</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#228-230' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation angle returned as a 1-dimensional vector.</p>
<p>This is generally used in the context of generic programming. Using
the <code>.angle()</code> method instead is more common.</p>
</div></div><h2 id='implementations' class='small-section-header'>Trait Implementations<a href='#implementations' class='anchor'></a></h2><div id='implementations-list'><h3 id='impl-From%3CUnit%3CComplex%3CN%3E%3E%3E' class='impl'><code class='in-band'>impl&lt;N:&nbsp;<a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;<a class="struct" href="../../nalgebra/base/struct.Unit.html" title="struct nalgebra::base::Unit">Unit</a>&lt;<a class="struct" href="../../nalgebra/struct.Complex.html" title="struct nalgebra::Complex">Complex</a>&lt;N&gt;&gt;&gt; for <a class="type" href="../../nalgebra/geometry/type.Rotation2.html" title="type nalgebra::geometry::Rotation2">Rotation2</a>&lt;N&gt;</code><a href='#impl-From%3CUnit%3CComplex%3CN%3E%3E%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/unit_complex_conversion.rs.html#158-163' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.from' class="method hidden"><code id='from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from' class='fnname'>from</a>(q: <a class="type" href="../../nalgebra/geometry/type.UnitComplex.html" title="type nalgebra::geometry::UnitComplex">UnitComplex</a>&lt;N&gt;) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/unit_complex_conversion.rs.html#160-162' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-SubsetOf%3CUnit%3CComplex%3CN2%3E%3E%3E' class='impl'><code class='in-band'>impl&lt;N1, N2&gt; <a class="trait" href="../../alga/general/subset/trait.SubsetOf.html" title="trait alga::general::subset::SubsetOf">SubsetOf</a>&lt;<a class="struct" href="../../nalgebra/base/struct.Unit.html" title="struct nalgebra::base::Unit">Unit</a>&lt;<a class="struct" href="../../nalgebra/struct.Complex.html" title="struct nalgebra::Complex">Complex</a>&lt;N2&gt;&gt;&gt; for <a class="type" href="../../nalgebra/geometry/type.Rotation2.html" title="type nalgebra::geometry::Rotation2">Rotation2</a>&lt;N1&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;N1: <a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;N2: <a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a> + <a class="trait" href="../../alga/general/subset/trait.SupersetOf.html" title="trait alga::general::subset::SupersetOf">SupersetOf</a>&lt;N1&gt;,&nbsp;</span></code><a href='#impl-SubsetOf%3CUnit%3CComplex%3CN2%3E%3E%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/rotation_conversion.rs.html#78-99' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.to_superset' class="method hidden"><code id='to_superset.v'>fn <a href='../../alga/general/subset/trait.SubsetOf.html#tymethod.to_superset' class='fnname'>to_superset</a>(&amp;self) -&gt; <a class="type" href="../../nalgebra/geometry/type.UnitComplex.html" title="type nalgebra::geometry::UnitComplex">UnitComplex</a>&lt;N2&gt;</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_conversion.rs.html#84-87' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inclusion map: converts <code>self</code> to the equivalent element of its superset.</p>
</div><h4 id='method.is_in_subset' class="method hidden"><code id='is_in_subset.v'>fn <a href='../../alga/general/subset/trait.SubsetOf.html#tymethod.is_in_subset' class='fnname'>is_in_subset</a>(q: &amp;<a class="type" href="../../nalgebra/geometry/type.UnitComplex.html" title="type nalgebra::geometry::UnitComplex">UnitComplex</a>&lt;N2&gt;) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_conversion.rs.html#90-92' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Checks if <code>element</code> is actually part of the subset <code>Self</code> (and can be converted to it).</p>
</div><h4 id='method.from_superset_unchecked' class="method hidden"><code id='from_superset_unchecked.v'>unsafe fn <a href='../../alga/general/subset/trait.SubsetOf.html#tymethod.from_superset_unchecked' class='fnname'>from_superset_unchecked</a>(q: &amp;<a class="type" href="../../nalgebra/geometry/type.UnitComplex.html" title="type nalgebra::geometry::UnitComplex">UnitComplex</a>&lt;N2&gt;) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_conversion.rs.html#95-98' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Use with care! Same as <code>self.to_superset</code> but without any property checks. Always succeeds.</p>
</div><h4 id='method.from_superset' class="method hidden"><code id='from_superset.v'>fn <a href='../../alga/general/subset/trait.SubsetOf.html#method.from_superset' class='fnname'>from_superset</a>(element: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Self&gt;</code><a class='srclink' href='../../src/alga/general/subset.rs.html#32-38' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inverse inclusion map: attempts to construct <code>self</code> from the equivalent element of its superset. <a href="../../alga/general/subset/trait.SubsetOf.html#method.from_superset">Read more</a></p>
</div></div></div></section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help dialog</dd><dt><kbd>S</kbd></dt><dd>Focus the search field</dd><dt><kbd>↑</kbd></dt><dd>Move up in search results</dd><dt><kbd>↓</kbd></dt><dd>Move down in search results</dd><dt><kbd>↹</kbd></dt><dd>Switch tab</dd><dt><kbd>&#9166;</kbd></dt><dd>Go to active search result</dd><dt><kbd>+</kbd></dt><dd>Expand all sections</dd><dt><kbd>-</kbd></dt><dd>Collapse all sections</dd></dl></div><div class="infos"><h2>Search Tricks</h2><p>Prefix searches with a type followed by a colon (e.g., <code>fn:</code>) to restrict the search to a given type.</p><p>Accepted types are: <code>fn</code>, <code>mod</code>, <code>struct</code>, <code>enum</code>, <code>trait</code>, <code>type</code>, <code>macro</code>, and <code>const</code>.</p><p>Search functions by type signature (e.g., <code>vec -> usize</code> or <code>* -> vec</code>)</p><p>Search multiple things at once by splitting your query with comma (e.g., <code>str,u8</code> or <code>String,struct:Vec,test</code>)</p></div></div></aside><script>window.rootPath = "../../";window.currentCrate = "nalgebra";</script><script src="../../aliases.js"></script><script src="../../main.js"></script><script defer src="../../search-index.js"></script></body></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="API documentation for the Rust `Rotation3` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Rotation3"><title>nalgebra::geometry::Rotation3 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Rotation3</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#methods">Methods</a><div class="sidebar-links"><a href="#method.angle">angle</a><a href="#method.angle_to">angle_to</a><a href="#method.axis">axis</a><a href="#method.axis_angle">axis_angle</a><a href="#method.euler_angles">euler_angles</a><a href="#method.face_towards">face_towards</a><a href="#method.from_axis_angle">from_axis_angle</a><a href="#method.from_euler_angles">from_euler_angles</a><a href="#method.from_matrix">from_matrix</a><a href="#method.from_matrix_eps">from_matrix_eps</a><a href="#method.from_scaled_axis">from_scaled_axis</a><a href="#method.look_at_lh">look_at_lh</a><a href="#method.look_at_rh">look_at_rh</a><a href="#method.new">new</a><a href="#method.new_observer_frames">new_observer_frames</a><a href="#method.powf">powf</a><a href="#method.renormalize">renormalize</a><a href="#method.rotation_between">rotation_between</a><a href="#method.rotation_to">rotation_to</a><a href="#method.scaled_axis">scaled_axis</a><a href="#method.scaled_rotation_between">scaled_rotation_between</a><a href="#method.to_euler_angles">to_euler_angles</a></div><a class="sidebar-title" href="#implementations">Trait Implementations</a><div class="sidebar-links"><a href="#impl-From%3CUnit%3CQuaternion%3CN%3E%3E%3E">From&lt;Unit&lt;Quaternion&lt;N&gt;&gt;&gt;</a><a href="#impl-SubsetOf%3CUnit%3CQuaternion%3CN2%3E%3E%3E">SubsetOf&lt;Unit&lt;Quaternion&lt;N2&gt;&gt;&gt;</a></div></div><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Rotation3', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/rotation_alias.rs.html#9' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Rotation3</a></span></h1><pre class='rust typedef'>type Rotation3&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Rotation.html" title="struct nalgebra::geometry::Rotation">Rotation</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;;</pre><div class='docblock'><p>A 3-dimensional rotation matrix.</p>
</div><h2 id='methods' class='small-section-header'>Methods<a href='#methods' class='anchor'></a></h2><h3 id='impl' class='impl'><code class='in-band'>impl&lt;N:&nbsp;<a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a>&gt; <a class="type" href="../../nalgebra/geometry/type.Rotation3.html" title="type nalgebra::geometry::Rotation3">Rotation3</a>&lt;N&gt;</code><a href='#impl' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#258-818' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.new' class="method"><code id='new.v'>pub fn <a href='#method.new' class='fnname'>new</a>&lt;SB:&nbsp;<a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;&gt;(axisangle: <a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SB&gt;) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#282-286' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a 3 dimensional rotation matrix from an axis and an angle.</p>
<h1 id="arguments" class="section-header"><a href="#arguments">Arguments</a></h1>
<ul>
<li><code>axisangle</code> - A vector representing the rotation. Its magnitude is the amount of rotation
in radian. Its direction is the axis of rotation.</li>
</ul>
<h1 id="example" class="section-header"><a href="#example">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">axisangle</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">y</span>() <span class="op">*</span> <span class="ident">f32</span>::<span class="ident">consts</span>::<span class="ident">FRAC_PI_2</span>;
<span class="comment">// Point and vector being transformed in the tests.</span>
<span class="kw">let</span> <span class="ident">pt</span> <span class="op">=</span> <span class="ident">Point3</span>::<span class="ident">new</span>(<span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>);
<span class="kw">let</span> <span class="ident">vec</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>);
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">new</span>(<span class="ident">axisangle</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">pt</span>, <span class="ident">Point3</span>::<span class="ident">new</span>(<span class="number">6.0</span>, <span class="number">5.0</span>, <span class="op">-</span><span class="number">4.0</span>), <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">vec</span>, <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">6.0</span>, <span class="number">5.0</span>, <span class="op">-</span><span class="number">4.0</span>), <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="comment">// A zero vector yields an identity.</span>
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Rotation3</span>::<span class="ident">new</span>(<span class="ident">Vector3</span>::<span class="op">&lt;</span><span class="ident">f32</span><span class="op">&gt;</span>::<span class="ident">zeros</span>()), <span class="ident">Rotation3</span>::<span class="ident">identity</span>());</pre></div>
</div><h4 id='method.from_matrix' class="method"><code id='from_matrix.v'>pub fn <a href='#method.from_matrix' class='fnname'>from_matrix</a>(m: &amp;<a class="type" href="../../nalgebra/base/type.Matrix3.html" title="type nalgebra::base::Matrix3">Matrix3</a>&lt;N&gt;) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#293-295' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a rotation matrix by extracting the rotation part of the given transformation <code>m</code>.</p>
<p>This is an iterative method. See <code>.from_matrix_eps</code> to provide mover
convergence parameters and starting solution.
This implements &quot;A Robust Method to Extract the Rotational Part of Deformations&quot; by Müller et al.</p>
</div><h4 id='method.from_matrix_eps' class="method"><code id='from_matrix_eps.v'>pub fn <a href='#method.from_matrix_eps' class='fnname'>from_matrix_eps</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;m: &amp;<a class="type" href="../../nalgebra/base/type.Matrix3.html" title="type nalgebra::base::Matrix3">Matrix3</a>&lt;N&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;eps: N, <br>&nbsp;&nbsp;&nbsp;&nbsp;max_iter: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;guess: Self<br>) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#309-334' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a rotation matrix by extracting the rotation part of the given transformation <code>m</code>.</p>
<p>This implements &quot;A Robust Method to Extract the Rotational Part of Deformations&quot; by Müller et al.</p>
<h1 id="parameters" class="section-header"><a href="#parameters">Parameters</a></h1>
<ul>
<li><code>m</code>: the matrix from which the rotational part is to be extracted.</li>
<li><code>eps</code>: the angular errors tolerated between the current rotation and the optimal one.</li>
<li><code>max_iter</code>: the maximum number of iterations. Loops indefinitely until convergence if set to <code>0</code>.</li>
<li><code>guess</code>: a guess of the solution. Convergence will be significantly faster if an initial solution close
to the actual solution is provided. Can be set to <code>Rotation3::identity()</code> if no other
guesses come to mind.</li>
</ul>
</div><h4 id='method.from_scaled_axis' class="method"><code id='from_scaled_axis.v'>pub fn <a href='#method.from_scaled_axis' class='fnname'>from_scaled_axis</a>&lt;SB:&nbsp;<a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;axisangle: <a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SB&gt;<br>) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#357-359' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a 3D rotation matrix from an axis scaled by the rotation angle.</p>
<p>This is the same as <code>Self::new(axisangle)</code>.</p>
<h1 id="example-1" class="section-header"><a href="#example-1">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">axisangle</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">y</span>() <span class="op">*</span> <span class="ident">f32</span>::<span class="ident">consts</span>::<span class="ident">FRAC_PI_2</span>;
<span class="comment">// Point and vector being transformed in the tests.</span>
<span class="kw">let</span> <span class="ident">pt</span> <span class="op">=</span> <span class="ident">Point3</span>::<span class="ident">new</span>(<span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>);
<span class="kw">let</span> <span class="ident">vec</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>);
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">new</span>(<span class="ident">axisangle</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">pt</span>, <span class="ident">Point3</span>::<span class="ident">new</span>(<span class="number">6.0</span>, <span class="number">5.0</span>, <span class="op">-</span><span class="number">4.0</span>), <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">vec</span>, <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">6.0</span>, <span class="number">5.0</span>, <span class="op">-</span><span class="number">4.0</span>), <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="comment">// A zero vector yields an identity.</span>
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Rotation3</span>::<span class="ident">from_scaled_axis</span>(<span class="ident">Vector3</span>::<span class="op">&lt;</span><span class="ident">f32</span><span class="op">&gt;</span>::<span class="ident">zeros</span>()), <span class="ident">Rotation3</span>::<span class="ident">identity</span>());</pre></div>
</div><h4 id='method.from_axis_angle' class="method"><code id='from_axis_angle.v'>pub fn <a href='#method.from_axis_angle' class='fnname'>from_axis_angle</a>&lt;SB&gt;(axis: &amp;<a class="struct" href="../../nalgebra/base/struct.Unit.html" title="struct nalgebra::base::Unit">Unit</a>&lt;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SB&gt;&gt;, angle: N) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SB: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#383-409' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a 3D rotation matrix from an axis and a rotation angle.</p>
<h1 id="example-2" class="section-header"><a href="#example-2">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">axis</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">y_axis</span>();
<span class="kw">let</span> <span class="ident">angle</span> <span class="op">=</span> <span class="ident">f32</span>::<span class="ident">consts</span>::<span class="ident">FRAC_PI_2</span>;
<span class="comment">// Point and vector being transformed in the tests.</span>
<span class="kw">let</span> <span class="ident">pt</span> <span class="op">=</span> <span class="ident">Point3</span>::<span class="ident">new</span>(<span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>);
<span class="kw">let</span> <span class="ident">vec</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>);
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">axis</span>, <span class="ident">angle</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">axis</span>().<span class="ident">unwrap</span>(), <span class="ident">axis</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">angle</span>(), <span class="ident">angle</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">pt</span>, <span class="ident">Point3</span>::<span class="ident">new</span>(<span class="number">6.0</span>, <span class="number">5.0</span>, <span class="op">-</span><span class="number">4.0</span>), <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">vec</span>, <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">6.0</span>, <span class="number">5.0</span>, <span class="op">-</span><span class="number">4.0</span>), <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="comment">// A zero vector yields an identity.</span>
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Rotation3</span>::<span class="ident">from_scaled_axis</span>(<span class="ident">Vector3</span>::<span class="op">&lt;</span><span class="ident">f32</span><span class="op">&gt;</span>::<span class="ident">zeros</span>()), <span class="ident">Rotation3</span>::<span class="ident">identity</span>());</pre></div>
</div><h4 id='method.from_euler_angles' class="method"><code id='from_euler_angles.v'>pub fn <a href='#method.from_euler_angles' class='fnname'>from_euler_angles</a>(roll: N, pitch: N, yaw: N) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#425-441' title='goto source code'>[src]</a></h4><div class='docblock'><p>Creates a new rotation from Euler angles.</p>
<p>The primitive rotations are applied in order: 1 roll − 2 pitch − 3 yaw.</p>
<h1 id="example-3" class="section-header"><a href="#example-3">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_euler_angles</span>(<span class="number">0.1</span>, <span class="number">0.2</span>, <span class="number">0.3</span>);
<span class="kw">let</span> <span class="ident">euler</span> <span class="op">=</span> <span class="ident">rot</span>.<span class="ident">euler_angles</span>();
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">euler</span>.<span class="number">0</span>, <span class="number">0.1</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">euler</span>.<span class="number">1</span>, <span class="number">0.2</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">euler</span>.<span class="number">2</span>, <span class="number">0.3</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);</pre></div>
</div><h4 id='method.to_euler_angles' class="method"><code id='to_euler_angles.v'>pub fn <a href='#method.to_euler_angles' class='fnname'>to_euler_angles</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>N, N, N<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#447-449' title='goto source code'>[src]</a></h4><div class='stability'><div class='stab deprecated'>Deprecated: <p>This is renamed to use <code>.euler_angles()</code>.</p>
</div></div><div class='docblock'><p>Creates Euler angles from a rotation.</p>
<p>The angles are produced in the form (roll, pitch, yaw).</p>
</div><h4 id='method.euler_angles' class="method"><code id='euler_angles.v'>pub fn <a href='#method.euler_angles' class='fnname'>euler_angles</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>N, N, N<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#465-482' title='goto source code'>[src]</a></h4><div class='docblock'><p>Euler angles corresponding to this rotation from a rotation.</p>
<p>The angles are produced in the form (roll, pitch, yaw).</p>
<h1 id="example-4" class="section-header"><a href="#example-4">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_euler_angles</span>(<span class="number">0.1</span>, <span class="number">0.2</span>, <span class="number">0.3</span>);
<span class="kw">let</span> <span class="ident">euler</span> <span class="op">=</span> <span class="ident">rot</span>.<span class="ident">euler_angles</span>();
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">euler</span>.<span class="number">0</span>, <span class="number">0.1</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">euler</span>.<span class="number">1</span>, <span class="number">0.2</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">euler</span>.<span class="number">2</span>, <span class="number">0.3</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);</pre></div>
</div><h4 id='method.renormalize' class="method"><code id='renormalize.v'>pub fn <a href='#method.renormalize' class='fnname'>renormalize</a>(&amp;mut self)</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#487-492' title='goto source code'>[src]</a></h4><div class='docblock'><p>Ensure this rotation is an orthonormal rotation matrix. This is useful when repeated
computations might cause the matrix from progressively not being orthonormal anymore.</p>
</div><h4 id='method.face_towards' class="method"><code id='face_towards.v'>pub fn <a href='#method.face_towards' class='fnname'>face_towards</a>&lt;SB, SC&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;dir: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SB&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;up: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SC&gt;<br>) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SB: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;SC: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#516-528' title='goto source code'>[src]</a></h4><div class='docblock'><p>Creates a rotation that corresponds to the local frame of an observer standing at the
origin and looking toward <code>dir</code>.</p>
<p>It maps the <code>z</code> axis to the direction <code>dir</code>.</p>
<h1 id="arguments-1" class="section-header"><a href="#arguments-1">Arguments</a></h1>
<ul>
<li>dir - The look direction, that is, direction the matrix <code>z</code> axis will be aligned with.</li>
<li>up - The vertical direction. The only requirement of this parameter is to not be
collinear to <code>dir</code>. Non-collinearity is not checked.</li>
</ul>
<h1 id="example-5" class="section-header"><a href="#example-5">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">dir</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>);
<span class="kw">let</span> <span class="ident">up</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">y</span>();
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">face_towards</span>(<span class="kw-2">&amp;</span><span class="ident">dir</span>, <span class="kw-2">&amp;</span><span class="ident">up</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">Vector3</span>::<span class="ident">z</span>(), <span class="ident">dir</span>.<span class="ident">normalize</span>());</pre></div>
</div><h4 id='method.new_observer_frames' class="method"><code id='new_observer_frames.v'>pub fn <a href='#method.new_observer_frames' class='fnname'>new_observer_frames</a>&lt;SB, SC&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;dir: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SB&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;up: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SC&gt;<br>) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SB: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;SC: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#532-538' title='goto source code'>[src]</a></h4><div class='stability'><div class='stab deprecated'>Deprecated: <p>renamed to <code>face_towards</code></p>
</div></div><div class='docblock'><p>Deprecated: Use [Rotation3::face_towards] instead.</p>
</div><h4 id='method.look_at_rh' class="method"><code id='look_at_rh.v'>pub fn <a href='#method.look_at_rh' class='fnname'>look_at_rh</a>&lt;SB, SC&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;dir: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SB&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;up: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SC&gt;<br>) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SB: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;SC: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#563-569' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a right-handed look-at view matrix without translation.</p>
<p>It maps the view direction <code>dir</code> to the <strong>negative</strong> <code>z</code> axis.
This conforms to the common notion of right handed look-at matrix from the computer
graphics community.</p>
<h1 id="arguments-2" class="section-header"><a href="#arguments-2">Arguments</a></h1>
<ul>
<li>dir - The direction toward which the camera looks.</li>
<li>up - A vector approximately aligned with required the vertical axis. The only
requirement of this parameter is to not be collinear to <code>dir</code>.</li>
</ul>
<h1 id="example-6" class="section-header"><a href="#example-6">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">dir</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>);
<span class="kw">let</span> <span class="ident">up</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">y</span>();
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">look_at_rh</span>(<span class="kw-2">&amp;</span><span class="ident">dir</span>, <span class="kw-2">&amp;</span><span class="ident">up</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">dir</span>.<span class="ident">normalize</span>(), <span class="op">-</span><span class="ident">Vector3</span>::<span class="ident">z</span>());</pre></div>
</div><h4 id='method.look_at_lh' class="method"><code id='look_at_lh.v'>pub fn <a href='#method.look_at_lh' class='fnname'>look_at_lh</a>&lt;SB, SC&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;dir: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SB&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;up: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SC&gt;<br>) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SB: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;SC: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#594-600' title='goto source code'>[src]</a></h4><div class='docblock'><p>Builds a left-handed look-at view matrix without translation.</p>
<p>It maps the view direction <code>dir</code> to the <strong>positive</strong> <code>z</code> axis.
This conforms to the common notion of left handed look-at matrix from the computer
graphics community.</p>
<h1 id="arguments-3" class="section-header"><a href="#arguments-3">Arguments</a></h1>
<ul>
<li>dir - The direction toward which the camera looks.</li>
<li>up - A vector approximately aligned with required the vertical axis. The only
requirement of this parameter is to not be collinear to <code>dir</code>.</li>
</ul>
<h1 id="example-7" class="section-header"><a href="#example-7">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">dir</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>);
<span class="kw">let</span> <span class="ident">up</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">y</span>();
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">look_at_lh</span>(<span class="kw-2">&amp;</span><span class="ident">dir</span>, <span class="kw-2">&amp;</span><span class="ident">up</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">dir</span>.<span class="ident">normalize</span>(), <span class="ident">Vector3</span>::<span class="ident">z</span>());</pre></div>
</div><h4 id='method.rotation_between' class="method"><code id='rotation_between.v'>pub fn <a href='#method.rotation_between' class='fnname'>rotation_between</a>&lt;SB, SC&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;a: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SB&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SC&gt;<br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SB: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;SC: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#617-623' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation matrix required to align <code>a</code> and <code>b</code> but with its angle.</p>
<p>This is the rotation <code>R</code> such that <code>(R * a).angle(b) == 0 &amp;&amp; (R * a).dot(b).is_positive()</code>.</p>
<h1 id="example-8" class="section-header"><a href="#example-8">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">a</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>);
<span class="kw">let</span> <span class="ident">b</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">3.0</span>, <span class="number">1.0</span>, <span class="number">2.0</span>);
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">rotation_between</span>(<span class="kw-2">&amp;</span><span class="ident">a</span>, <span class="kw-2">&amp;</span><span class="ident">b</span>).<span class="ident">unwrap</span>();
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span> <span class="op">*</span> <span class="ident">a</span>, <span class="ident">b</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">inverse</span>() <span class="op">*</span> <span class="ident">b</span>, <span class="ident">a</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);</pre></div>
</div><h4 id='method.scaled_rotation_between' class="method"><code id='scaled_rotation_between.v'>pub fn <a href='#method.scaled_rotation_between' class='fnname'>scaled_rotation_between</a>&lt;SB, SC&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;a: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SB&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: &amp;<a class="type" href="../../nalgebra/base/type.Vector.html" title="type nalgebra::base::Vector">Vector</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, SC&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;n: N<br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;SB: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;SC: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>&gt;,&nbsp;</span></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#640-668' title='goto source code'>[src]</a></h4><div class='docblock'><p>The smallest rotation needed to make <code>a</code> and <code>b</code> collinear and point toward the same
direction, raised to the power <code>s</code>.</p>
<h1 id="example-9" class="section-header"><a href="#example-9">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">a</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>);
<span class="kw">let</span> <span class="ident">b</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">3.0</span>, <span class="number">1.0</span>, <span class="number">2.0</span>);
<span class="kw">let</span> <span class="ident">rot2</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">scaled_rotation_between</span>(<span class="kw-2">&amp;</span><span class="ident">a</span>, <span class="kw-2">&amp;</span><span class="ident">b</span>, <span class="number">0.2</span>).<span class="ident">unwrap</span>();
<span class="kw">let</span> <span class="ident">rot5</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">scaled_rotation_between</span>(<span class="kw-2">&amp;</span><span class="ident">a</span>, <span class="kw-2">&amp;</span><span class="ident">b</span>, <span class="number">0.5</span>).<span class="ident">unwrap</span>();
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot2</span> <span class="op">*</span> <span class="ident">rot2</span> <span class="op">*</span> <span class="ident">rot2</span> <span class="op">*</span> <span class="ident">rot2</span> <span class="op">*</span> <span class="ident">rot2</span> <span class="op">*</span> <span class="ident">a</span>, <span class="ident">b</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot5</span> <span class="op">*</span> <span class="ident">rot5</span> <span class="op">*</span> <span class="ident">a</span>, <span class="ident">b</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);</pre></div>
</div><h4 id='method.angle' class="method"><code id='angle.v'>pub fn <a href='#method.angle' class='fnname'>angle</a>(&amp;self) -&gt; N</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#681-685' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation angle in [0; pi].</p>
<h1 id="example-10" class="section-header"><a href="#example-10">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">axis</span> <span class="op">=</span> <span class="ident">Unit</span>::<span class="ident">new_normalize</span>(<span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>));
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">axis</span>, <span class="number">1.78</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">angle</span>(), <span class="number">1.78</span>);</pre></div>
</div><h4 id='method.axis' class="method"><code id='axis.v'>pub fn <a href='#method.axis' class='fnname'>axis</a>(&amp;self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;<a class="struct" href="../../nalgebra/base/struct.Unit.html" title="struct nalgebra::base::Unit">Unit</a>&lt;<a class="type" href="../../nalgebra/base/type.Vector3.html" title="type nalgebra::base::Vector3">Vector3</a>&lt;N&gt;&gt;&gt;</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#703-711' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation axis. Returns <code>None</code> if the rotation angle is zero or PI.</p>
<h1 id="example-11" class="section-header"><a href="#example-11">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">axis</span> <span class="op">=</span> <span class="ident">Unit</span>::<span class="ident">new_normalize</span>(<span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>));
<span class="kw">let</span> <span class="ident">angle</span> <span class="op">=</span> <span class="number">1.2</span>;
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">axis</span>, <span class="ident">angle</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">axis</span>().<span class="ident">unwrap</span>(), <span class="ident">axis</span>);
<span class="comment">// Case with a zero angle.</span>
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">axis</span>, <span class="number">0.0</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">axis</span>().<span class="ident">is_none</span>());</pre></div>
</div><h4 id='method.scaled_axis' class="method"><code id='scaled_axis.v'>pub fn <a href='#method.scaled_axis' class='fnname'>scaled_axis</a>(&amp;self) -&gt; <a class="type" href="../../nalgebra/base/type.Vector3.html" title="type nalgebra::base::Vector3">Vector3</a>&lt;N&gt;</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#724-730' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation axis multiplied by the rotation angle.</p>
<h1 id="example-12" class="section-header"><a href="#example-12">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">axisangle</span> <span class="op">=</span> <span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">0.1</span>, <span class="number">0.2</span>, <span class="number">0.3</span>);
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">new</span>(<span class="ident">axisangle</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">scaled_axis</span>(), <span class="ident">axisangle</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);</pre></div>
</div><h4 id='method.axis_angle' class="method"><code id='axis_angle.v'>pub fn <a href='#method.axis_angle' class='fnname'>axis_angle</a>(&amp;self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="struct" href="../../nalgebra/base/struct.Unit.html" title="struct nalgebra::base::Unit">Unit</a>&lt;<a class="type" href="../../nalgebra/base/type.Vector3.html" title="type nalgebra::base::Vector3">Vector3</a>&lt;N&gt;&gt;, N<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>&gt;</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#752-758' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation axis and angle in ]0, pi] of this unit quaternion.</p>
<p>Returns <code>None</code> if the angle is zero.</p>
<h1 id="example-13" class="section-header"><a href="#example-13">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">axis</span> <span class="op">=</span> <span class="ident">Unit</span>::<span class="ident">new_normalize</span>(<span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>));
<span class="kw">let</span> <span class="ident">angle</span> <span class="op">=</span> <span class="number">1.2</span>;
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">axis</span>, <span class="ident">angle</span>);
<span class="kw">let</span> <span class="ident">axis_angle</span> <span class="op">=</span> <span class="ident">rot</span>.<span class="ident">axis_angle</span>().<span class="ident">unwrap</span>();
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">axis_angle</span>.<span class="number">0</span>, <span class="ident">axis</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">axis_angle</span>.<span class="number">1</span>, <span class="ident">angle</span>);
<span class="comment">// Case with a zero angle.</span>
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">axis</span>, <span class="number">0.0</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">rot</span>.<span class="ident">axis_angle</span>().<span class="ident">is_none</span>());</pre></div>
</div><h4 id='method.angle_to' class="method"><code id='angle_to.v'>pub fn <a href='#method.angle_to' class='fnname'>angle_to</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self) -&gt; N</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#771-773' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation angle needed to make <code>self</code> and <code>other</code> coincide.</p>
<h1 id="example-14" class="section-header"><a href="#example-14">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">rot1</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">Vector3</span>::<span class="ident">y_axis</span>(), <span class="number">1.0</span>);
<span class="kw">let</span> <span class="ident">rot2</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">Vector3</span>::<span class="ident">x_axis</span>(), <span class="number">0.1</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot1</span>.<span class="ident">angle_to</span>(<span class="kw-2">&amp;</span><span class="ident">rot2</span>), <span class="number">1.0045657</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);</pre></div>
</div><h4 id='method.rotation_to' class="method"><code id='rotation_to.v'>pub fn <a href='#method.rotation_to' class='fnname'>rotation_to</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#789-791' title='goto source code'>[src]</a></h4><div class='docblock'><p>The rotation matrix needed to make <code>self</code> and <code>other</code> coincide.</p>
<p>The result is such that: <code>self.rotation_to(other) * self == other</code>.</p>
<h1 id="example-15" class="section-header"><a href="#example-15">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">rot1</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">Vector3</span>::<span class="ident">y_axis</span>(), <span class="number">1.0</span>);
<span class="kw">let</span> <span class="ident">rot2</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">Vector3</span>::<span class="ident">x_axis</span>(), <span class="number">0.1</span>);
<span class="kw">let</span> <span class="ident">rot_to</span> <span class="op">=</span> <span class="ident">rot1</span>.<span class="ident">rotation_to</span>(<span class="kw-2">&amp;</span><span class="ident">rot2</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">rot_to</span> <span class="op">*</span> <span class="ident">rot1</span>, <span class="ident">rot2</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);</pre></div>
</div><h4 id='method.powf' class="method"><code id='powf.v'>pub fn <a href='#method.powf' class='fnname'>powf</a>(&amp;self, n: N) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_specialization.rs.html#808-817' title='goto source code'>[src]</a></h4><div class='docblock'><p>Raise the quaternion to a given floating power, i.e., returns the rotation with the same
axis as <code>self</code> and an angle equal to <code>self.angle()</code> multiplied by <code>n</code>.</p>
<h1 id="example-16" class="section-header"><a href="#example-16">Example</a></h1>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">let</span> <span class="ident">axis</span> <span class="op">=</span> <span class="ident">Unit</span>::<span class="ident">new_normalize</span>(<span class="ident">Vector3</span>::<span class="ident">new</span>(<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>));
<span class="kw">let</span> <span class="ident">angle</span> <span class="op">=</span> <span class="number">1.2</span>;
<span class="kw">let</span> <span class="ident">rot</span> <span class="op">=</span> <span class="ident">Rotation3</span>::<span class="ident">from_axis_angle</span>(<span class="kw-2">&amp;</span><span class="ident">axis</span>, <span class="ident">angle</span>);
<span class="kw">let</span> <span class="ident">pow</span> <span class="op">=</span> <span class="ident">rot</span>.<span class="ident">powf</span>(<span class="number">2.0</span>);
<span class="macro">assert_relative_eq</span><span class="macro">!</span>(<span class="ident">pow</span>.<span class="ident">axis</span>().<span class="ident">unwrap</span>(), <span class="ident">axis</span>, <span class="ident">epsilon</span> <span class="op">=</span> <span class="number">1.0e-6</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">pow</span>.<span class="ident">angle</span>(), <span class="number">2.4</span>);</pre></div>
</div></div><h2 id='implementations' class='small-section-header'>Trait Implementations<a href='#implementations' class='anchor'></a></h2><div id='implementations-list'><h3 id='impl-From%3CUnit%3CQuaternion%3CN%3E%3E%3E' class='impl'><code class='in-band'>impl&lt;N:&nbsp;<a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;<a class="struct" href="../../nalgebra/base/struct.Unit.html" title="struct nalgebra::base::Unit">Unit</a>&lt;<a class="struct" href="../../nalgebra/geometry/struct.Quaternion.html" title="struct nalgebra::geometry::Quaternion">Quaternion</a>&lt;N&gt;&gt;&gt; for <a class="type" href="../../nalgebra/geometry/type.Rotation3.html" title="type nalgebra::geometry::Rotation3">Rotation3</a>&lt;N&gt;</code><a href='#impl-From%3CUnit%3CQuaternion%3CN%3E%3E%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/quaternion_conversion.rs.html#228-233' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.from' class="method hidden"><code id='from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from' class='fnname'>from</a>(q: <a class="type" href="../../nalgebra/geometry/type.UnitQuaternion.html" title="type nalgebra::geometry::UnitQuaternion">UnitQuaternion</a>&lt;N&gt;) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/quaternion_conversion.rs.html#230-232' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-SubsetOf%3CUnit%3CQuaternion%3CN2%3E%3E%3E' class='impl'><code class='in-band'>impl&lt;N1, N2&gt; <a class="trait" href="../../alga/general/subset/trait.SubsetOf.html" title="trait alga::general::subset::SubsetOf">SubsetOf</a>&lt;<a class="struct" href="../../nalgebra/base/struct.Unit.html" title="struct nalgebra::base::Unit">Unit</a>&lt;<a class="struct" href="../../nalgebra/geometry/struct.Quaternion.html" title="struct nalgebra::geometry::Quaternion">Quaternion</a>&lt;N2&gt;&gt;&gt; for <a class="type" href="../../nalgebra/geometry/type.Rotation3.html" title="type nalgebra::geometry::Rotation3">Rotation3</a>&lt;N1&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;N1: <a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;N2: <a class="trait" href="../../nalgebra/trait.RealField.html" title="trait nalgebra::RealField">RealField</a> + <a class="trait" href="../../alga/general/subset/trait.SupersetOf.html" title="trait alga::general::subset::SupersetOf">SupersetOf</a>&lt;N1&gt;,&nbsp;</span></code><a href='#impl-SubsetOf%3CUnit%3CQuaternion%3CN2%3E%3E%3E' class='anchor'></a><a class='srclink' href='../../src/nalgebra/geometry/rotation_conversion.rs.html#55-76' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.to_superset' class="method hidden"><code id='to_superset.v'>fn <a href='../../alga/general/subset/trait.SubsetOf.html#tymethod.to_superset' class='fnname'>to_superset</a>(&amp;self) -&gt; <a class="type" href="../../nalgebra/geometry/type.UnitQuaternion.html" title="type nalgebra::geometry::UnitQuaternion">UnitQuaternion</a>&lt;N2&gt;</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_conversion.rs.html#61-64' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inclusion map: converts <code>self</code> to the equivalent element of its superset.</p>
</div><h4 id='method.is_in_subset' class="method hidden"><code id='is_in_subset.v'>fn <a href='../../alga/general/subset/trait.SubsetOf.html#tymethod.is_in_subset' class='fnname'>is_in_subset</a>(q: &amp;<a class="type" href="../../nalgebra/geometry/type.UnitQuaternion.html" title="type nalgebra::geometry::UnitQuaternion">UnitQuaternion</a>&lt;N2&gt;) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/nalgebra/geometry/rotation_conversion.rs.html#67-69' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Checks if <code>element</code> is actually part of the subset <code>Self</code> (and can be converted to it).</p>
</div><h4 id='method.from_superset_unchecked' class="method hidden"><code id='from_superset_unchecked.v'>unsafe fn <a href='../../alga/general/subset/trait.SubsetOf.html#tymethod.from_superset_unchecked' class='fnname'>from_superset_unchecked</a>(q: &amp;<a class="type" href="../../nalgebra/geometry/type.UnitQuaternion.html" title="type nalgebra::geometry::UnitQuaternion">UnitQuaternion</a>&lt;N2&gt;) -&gt; Self</code><a class='srclink' href='../../src/nalgebra/geometry/rotation_conversion.rs.html#72-75' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Use with care! Same as <code>self.to_superset</code> but without any property checks. Always succeeds.</p>
</div><h4 id='method.from_superset' class="method hidden"><code id='from_superset.v'>fn <a href='../../alga/general/subset/trait.SubsetOf.html#method.from_superset' class='fnname'>from_superset</a>(element: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Self&gt;</code><a class='srclink' href='../../src/alga/general/subset.rs.html#32-38' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inverse inclusion map: attempts to construct <code>self</code> from the equivalent element of its superset. <a href="../../alga/general/subset/trait.SubsetOf.html#method.from_superset">Read more</a></p>
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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 `Similarity2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Similarity2"><title>nalgebra::geometry::Similarity2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Similarity2</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Similarity2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/similarity_alias.rs.html#6' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Similarity2</a></span></h1><pre class='rust typedef'>type Similarity2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Similarity.html" title="struct nalgebra::geometry::Similarity">Similarity</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, <a class="type" href="../../nalgebra/geometry/type.UnitComplex.html" title="type nalgebra::geometry::UnitComplex">UnitComplex</a>&lt;N&gt;&gt;;</pre><div class='docblock'><p>A 2-dimensional similarity.</p>
</div></section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help dialog</dd><dt><kbd>S</kbd></dt><dd>Focus the search field</dd><dt><kbd>↑</kbd></dt><dd>Move up in search results</dd><dt><kbd>↓</kbd></dt><dd>Move down in search results</dd><dt><kbd>↹</kbd></dt><dd>Switch tab</dd><dt><kbd>&#9166;</kbd></dt><dd>Go to active search result</dd><dt><kbd>+</kbd></dt><dd>Expand all sections</dd><dt><kbd>-</kbd></dt><dd>Collapse all sections</dd></dl></div><div class="infos"><h2>Search Tricks</h2><p>Prefix searches with a type followed by a colon (e.g., <code>fn:</code>) to restrict the search to a given type.</p><p>Accepted types are: <code>fn</code>, <code>mod</code>, <code>struct</code>, <code>enum</code>, <code>trait</code>, <code>type</code>, <code>macro</code>, and <code>const</code>.</p><p>Search functions by type signature (e.g., <code>vec -> usize</code> or <code>* -> vec</code>)</p><p>Search multiple things at once by splitting your query with comma (e.g., <code>str,u8</code> or <code>String,struct:Vec,test</code>)</p></div></div></aside><script>window.rootPath = "../../";window.currentCrate = "nalgebra";</script><script src="../../aliases.js"></script><script src="../../main.js"></script><script defer src="../../search-index.js"></script></body></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="API documentation for the Rust `Similarity3` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Similarity3"><title>nalgebra::geometry::Similarity3 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Similarity3</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Similarity3', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/similarity_alias.rs.html#9' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Similarity3</a></span></h1><pre class='rust typedef'>type Similarity3&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Similarity.html" title="struct nalgebra::geometry::Similarity">Similarity</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, <a class="type" href="../../nalgebra/geometry/type.UnitQuaternion.html" title="type nalgebra::geometry::UnitQuaternion">UnitQuaternion</a>&lt;N&gt;&gt;;</pre><div class='docblock'><p>A 3-dimensional similarity.</p>
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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 `SimilarityMatrix2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, SimilarityMatrix2"><title>nalgebra::geometry::SimilarityMatrix2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition SimilarityMatrix2</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'SimilarityMatrix2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/similarity_alias.rs.html#12' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>SimilarityMatrix2</a></span></h1><pre class='rust typedef'>type SimilarityMatrix2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Similarity.html" title="struct nalgebra::geometry::Similarity">Similarity</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, <a class="type" href="../../nalgebra/geometry/type.Rotation2.html" title="type nalgebra::geometry::Rotation2">Rotation2</a>&lt;N&gt;&gt;;</pre><div class='docblock'><p>A 2-dimensional similarity using a rotation matrix for its rotation part.</p>
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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 `Transform2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Transform2"><title>nalgebra::geometry::Transform2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Transform2</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Transform2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform_alias.rs.html#6' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Transform2</a></span></h1><pre class='rust typedef'>type Transform2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Transform.html" title="struct nalgebra::geometry::Transform">Transform</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>, <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a>&gt;;</pre><div class='docblock'><p>A 2D general transformation that may not be invertible. Stored as an homogeneous 3x3 matrix.</p>
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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 `Transform3` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Transform3"><title>nalgebra::geometry::Transform3 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Transform3</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Transform3', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/transform_alias.rs.html#13' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Transform3</a></span></h1><pre class='rust typedef'>type Transform3&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Transform.html" title="struct nalgebra::geometry::Transform">Transform</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U3.html" title="struct nalgebra::base::dimension::U3">U3</a>, <a class="enum" href="../../nalgebra/geometry/enum.TGeneral.html" title="enum nalgebra::geometry::TGeneral">TGeneral</a>&gt;;</pre><div class='docblock'><p>A 3D general transformation that may not be inversible. Stored as an homogeneous 4x4 matrix.</p>
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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 `Translation1` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Translation1"><title>nalgebra::geometry::Translation1 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Translation1</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Translation1', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/translation_alias.rs.html#6' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Translation1</a></span></h1><pre class='rust typedef'>type Translation1&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Translation.html" title="struct nalgebra::geometry::Translation">Translation</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U1.html" title="struct nalgebra::base::dimension::U1">U1</a>&gt;;</pre><div class='docblock'><p>A 1-dimensional translation.</p>
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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 `Translation2` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Translation2"><title>nalgebra::geometry::Translation2 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Translation2</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Translation2', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/translation_alias.rs.html#9' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Translation2</a></span></h1><pre class='rust typedef'>type Translation2&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Translation.html" title="struct nalgebra::geometry::Translation">Translation</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U2.html" title="struct nalgebra::base::dimension::U2">U2</a>&gt;;</pre><div class='docblock'><p>A 2-dimensional translation.</p>
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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 `Translation4` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Translation4"><title>nalgebra::geometry::Translation4 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Translation4</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Translation4', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/translation_alias.rs.html#15' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Translation4</a></span></h1><pre class='rust typedef'>type Translation4&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Translation.html" title="struct nalgebra::geometry::Translation">Translation</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U4.html" title="struct nalgebra::base::dimension::U4">U4</a>&gt;;</pre><div class='docblock'><p>A 4-dimensional translation.</p>
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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 `Translation5` type in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, Translation5"><title>nalgebra::geometry::Translation5 - 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="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc type"><!--[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">&#9776;</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Type Definition Translation5</p><div class="sidebar-elems"><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a></p><script>window.sidebarCurrent = {name: 'Translation5', ty: 'type', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/nalgebra/geometry/translation_alias.rs.html#18' title='goto source code'>[src]</a></span><span class='in-band'>Type Definition <a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>geometry</a>::<wbr><a class="type" href=''>Translation5</a></span></h1><pre class='rust typedef'>type Translation5&lt;N&gt; = <a class="struct" href="../../nalgebra/geometry/struct.Translation.html" title="struct nalgebra::geometry::Translation">Translation</a>&lt;N, <a class="struct" href="../../nalgebra/base/dimension/struct.U5.html" title="struct nalgebra::base::dimension::U5">U5</a>&gt;;</pre><div class='docblock'><p>A 5-dimensional translation.</p>
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