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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 `Basis2` struct in crate `cgmath`."><meta name="keywords" content="rust, rustlang, rust-lang, Basis2"><title>cgmath::Basis2 - Rust</title><link rel="stylesheet" type="text/css" href="../normalize.css"><link rel="stylesheet" type="text/css" href="../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../dark.css"><link rel="stylesheet" type="text/css" href="../light.css" id="themeStyle"><script src="../storage.js"></script><noscript><link rel="stylesheet" href="../noscript.css"></noscript><link rel="shortcut icon" href="../favicon.ico"><style type="text/css">#crate-search{background-image:url("../down-arrow.svg");}</style></head><body class="rustdoc struct"><!--[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='../cgmath/index.html'><div class='logo-container'><img src='../rust-logo.png' alt='logo'></div></a><p class='location'>Struct Basis2</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-AbsDiffEq%3CBasis2%3CS%3E%3E">AbsDiffEq&lt;Basis2&lt;S&gt;&gt;</a><a href="#impl-AsRef%3CMatrix2%3CS%3E%3E">AsRef&lt;Matrix2&lt;S&gt;&gt;</a><a href="#impl-Clone">Clone</a><a href="#impl-Copy">Copy</a><a href="#impl-Debug">Debug</a><a href="#impl-From%3CBasis2%3CS%3E%3E">From&lt;Basis2&lt;S&gt;&gt;</a><a href="#impl-Mul%3C%26%27a%20Basis2%3CS%3E%3E">Mul&lt;&amp;&#39;a Basis2&lt;S&gt;&gt;</a><a href="#impl-Mul%3CBasis2%3CS%3E%3E">Mul&lt;Basis2&lt;S&gt;&gt;</a><a href="#impl-One">One</a><a href="#impl-PartialEq%3CBasis2%3CS%3E%3E">PartialEq&lt;Basis2&lt;S&gt;&gt;</a><a href="#impl-Product%3C%26%27a%20Basis2%3CS%3E%3E">Product&lt;&amp;&#39;a Basis2&lt;S&gt;&gt;</a><a href="#impl-Product%3CBasis2%3CS%3E%3E">Product&lt;Basis2&lt;S&gt;&gt;</a><a href="#impl-RelativeEq%3CBasis2%3CS%3E%3E">RelativeEq&lt;Basis2&lt;S&gt;&gt;</a><a href="#impl-Rotation%3CPoint2%3CS%3E%3E">Rotation&lt;Point2&lt;S&gt;&gt;</a><a href="#impl-Rotation2%3CS%3E">Rotation2&lt;S&gt;</a><a href="#impl-UlpsEq%3CBasis2%3CS%3E%3E">UlpsEq&lt;Basis2&lt;S&gt;&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-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'>cgmath</a></p><script>window.sidebarCurrent = {name: 'Basis2', ty: 'struct', 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" wid
<p>The matrix is guaranteed to be orthogonal, so some operations can be
implemented more efficiently than the implementations for <code>math::Matrix2</code>. To
enforce orthogonality at the type level the operations have been restricted
to a subset of those implemented on <code>Matrix2</code>.</p>
<h2 id="example" class="section-header"><a href="#example">Example</a></h2>
<p>Suppose we want to rotate a vector that lies in the x-y plane by some
angle. We can accomplish this quite easily with a two-dimensional rotation
matrix:</p>
<div class="example-wrap"><pre class="rust rust-example-rendered">
<span class="kw">use</span> <span class="ident">cgmath</span>::<span class="ident">Rad</span>;
<span class="kw">use</span> <span class="ident">cgmath</span>::<span class="ident">Vector2</span>;
<span class="kw">use</span> <span class="ident">cgmath</span>::{<span class="ident">Matrix</span>, <span class="ident">Matrix2</span>};
<span class="kw">use</span> <span class="ident">cgmath</span>::{<span class="ident">Rotation</span>, <span class="ident">Rotation2</span>, <span class="ident">Basis2</span>};
<span class="kw">use</span> <span class="ident">cgmath</span>::<span class="ident">UlpsEq</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
<span class="comment">// For simplicity, we will rotate the unit x vector to the unit y vector --</span>
<span class="comment">// so the angle is 90 degrees, or π/2.</span>
<span class="kw">let</span> <span class="ident">unit_x</span>: <span class="ident">Vector2</span><span class="op">&lt;</span><span class="ident">f64</span><span class="op">&gt;</span> <span class="op">=</span> <span class="ident">Vector2</span>::<span class="ident">unit_x</span>();
<span class="kw">let</span> <span class="ident">rot</span>: <span class="ident">Basis2</span><span class="op">&lt;</span><span class="ident">f64</span><span class="op">&gt;</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">from_angle</span>(<span class="ident">Rad</span>(<span class="number">0.5f64</span> <span class="op">*</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span>));
<span class="comment">// Rotate the vector using the two-dimensional rotation matrix:</span>
<span class="kw">let</span> <span class="ident">unit_y</span> <span class="op">=</span> <span class="ident">rot</span>.<span class="ident">rotate_vector</span>(<span class="ident">unit_x</span>);
<span class="comment">// Since sin(π/2) may not be exactly zero due to rounding errors, we can</span>
<span class="comment">// use approx&#39;s assert_ulps_eq!() feature to show that it is close enough.</span>
<span class="comment">// assert_ulps_eq!(&amp;unit_y, &amp;Vector2::unit_y()); // TODO: Figure out how to use this</span>
<span class="comment">// This is exactly equivalent to using the raw matrix itself:</span>
<span class="kw">let</span> <span class="ident">unit_y2</span>: <span class="ident">Matrix2</span><span class="op">&lt;</span><span class="kw">_</span><span class="op">&gt;</span> <span class="op">=</span> <span class="ident">rot</span>.<span class="ident">into</span>();
<span class="kw">let</span> <span class="ident">unit_y2</span> <span class="op">=</span> <span class="ident">unit_y2</span> <span class="op">*</span> <span class="ident">unit_x</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">unit_y2</span>, <span class="ident">unit_y</span>);
<span class="comment">// Note that we can also concatenate rotations:</span>
<span class="kw">let</span> <span class="ident">rot_half</span>: <span class="ident">Basis2</span><span class="op">&lt;</span><span class="ident">f64</span><span class="op">&gt;</span> <span class="op">=</span> <span class="ident">Rotation2</span>::<span class="ident">from_angle</span>(<span class="ident">Rad</span>(<span class="number">0.25f64</span> <span class="op">*</span> <span class="ident">f64</span>::<span class="ident">consts</span>::<span class="ident">PI</span>));
<span class="kw">let</span> <span class="ident">unit_y3</span> <span class="op">=</span> (<span class="ident">rot_half</span> <span class="op">*</span> <span class="ident">rot_half</span>).<span class="ident">rotate_vector</span>(<span class="ident">unit_x</span>);
<span class="comment">// assert_ulps_eq!(&amp;unit_y3, &amp;unit_y2); // TODO: Figure out how to use this</span></pre></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-Rotation%3CPoint2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="../cgmath/prelude/trait.Rotation.html" title="trait cgmath::prelude::Rotation">Rotation</a>&lt;<a class="struct" href="../cgmath/struct.Point2.html" title="struct cgmath::Point2">Point2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Rotation%3CPoint2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#177-203' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.look_at' class="method hidden"><code id='look_at.v'>fn <a href='../cgmath/prelude/trait.Rotation.html#tymethod.look_at' class='fnname'>look_at</a>(dir: <a class="struct" href="../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a>&lt;S&gt;, up: <a class="struct" href="../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a>&lt;S&gt;) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#179-183' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Create a rotation to a given direction with an 'up' vector.</p>
</div><h4 id='method.between_vectors' class="method hidden"><code id='between_vectors.v'>fn <a href='../cgmath/prelude/trait.Rotation.html#tymethod.between_vectors' class='fnname'>between_vectors</a>(a: <a class="struct" href="../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a>&lt;S&gt;, b: <a class="struct" href="../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a>&lt;S&gt;) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#186-188' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Create a shortest rotation to transform vector 'a' into 'b'. Both given vectors are assumed to have unit length. <a href="../cgmath/prelude/trait.Rotation.html#tymethod.between_vectors">Read more</a></p>
</div><h4 id='method.rotate_vector' class="method hidden"><code id='rotate_vector.v'>fn <a href='../cgmath/prelude/trait.Rotation.html#tymethod.rotate_vector' class='fnname'>rotate_vector</a>(&amp;self, vec: <a class="struct" href="../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a>&lt;S&gt;) -&gt; <a class="struct" href="../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#191-193' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Rotate a vector using this rotation.</p>
</div><h4 id='method.invert' class="method hidden"><code id='invert.v'>fn <a href='../cgmath/prelude/trait.Rotation.html#tymethod.invert' class='fnname'>invert</a>(&amp;self) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#198-202' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Create a new rotation which &quot;un-does&quot; this rotation. That is, <code>r * r.invert()</code> is the identity. <a href="../cgmath/prelude/trait.Rotation.html#tymethod.invert">Read more</a></p>
</div><h4 id='method.rotate_point' class="method hidden"><code id='rotate_point.v'>fn <a href='../cgmath/prelude/trait.Rotation.html#method.rotate_point' class='fnname'>rotate_point</a>(&amp;self, point: P) -&gt; P</code><a class='srclink' href='../src/cgmath/rotation.rs.html#55-57' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Rotate a point using this rotation, by converting it to its representation as a vector. <a href="../cgmath/prelude/trait.Rotation.html#method.rotate_point">Read more</a></p>
</div></div><h3 id='impl-Rotation2%3CS%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="../cgmath/prelude/trait.Rotation2.html" title="trait cgmath::prelude::Rotation2">Rotation2</a>&lt;S&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Rotation2%3CS%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#256-262' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.from_angle' class="method hidden"><code id='from_angle.v'>fn <a href='../cgmath/prelude/trait.Rotation2.html#tymethod.from_angle' class='fnname'>from_angle</a>&lt;A:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;<a class="struct" href="../cgmath/struct.Rad.html" title="struct cgmath::Rad">Rad</a>&lt;S&gt;&gt;&gt;(theta: A) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#257-261' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Create a rotation by a given angle. Thus is a redundant case of both from_axis_angle() and from_euler() for 2D space. <a href="../cgmath/prelude/trait.Rotation2.html#tymethod.from_angle">Read more</a></p>
</div></div><h3 id='impl-Clone' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Clone' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#143' 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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#143' 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-AsRef%3CMatrix2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html" title="trait core::convert::AsRef">AsRef</a>&lt;<a class="struct" href="../cgmath/struct.Matrix2.html" title="struct cgmath::Matrix2">Matrix2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-AsRef%3CMatrix2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#149-154' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.as_ref' class="method hidden"><code id='as_ref.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html#tymethod.as_ref' class='fnname'>as_ref</a>(&amp;self) -&gt; &amp;<a class="struct" href="../cgmath/struct.Matrix2.html" title="struct cgmath::Matrix2">Matrix2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#151-153' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-PartialEq%3CBasis2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>&gt; <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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-PartialEq%3CBasis2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#143' 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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/cgmath/rotation.rs.html#143' 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'>fn <a href='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne' class='fnname'>ne</a>(&amp;self, other: &amp;<a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/cgmath/rotation.rs.html#143' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>This method tests for <code>!=</code>.</p>
</div></div><h3 id='impl-From%3CBasis2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</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="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Matrix2.html" title="struct cgmath::Matrix2">Matrix2</a>&lt;S&gt;</code><a href='#impl-From%3CBasis2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#156-161' 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>(b: <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;) -&gt; <a class="struct" href="../cgmath/struct.Matrix2.html" title="struct cgmath::Matrix2">Matrix2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#158-160' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3 id='impl-Copy' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a>&gt; <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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Copy' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#143' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Mul%3CBasis2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a>&lt;<a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Mul%3CBasis2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/macros.rs.html#66-72' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Output' class="type"><code id='Output.t'>type <a href='https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output' class="type">Output</a> = <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code></h4><div class='docblock'><p>The resulting type after applying the <code>*</code> operator.</p>
</div><h4 id='method.mul' class="method hidden"><code id='mul.v'>fn <a href='https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul' class='fnname'>mul</a>(self, other: <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/macros.rs.html#69-71' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the <code>*</code> operation.</p>
</div></div><h3 id='impl-Mul%3C%26%27a%20Basis2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;'a, S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a>&lt;&amp;'a <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Mul%3C%26%27a%20Basis2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/macros.rs.html#74-80' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Output-1' class="type"><code id='Output.t-1'>type <a href='https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output' class="type">Output</a> = <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code></h4><div class='docblock'><p>The resulting type after applying the <code>*</code> operator.</p>
</div><h4 id='method.mul-1' class="method hidden"><code id='mul.v-1'>fn <a href='https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul' class='fnname'>mul</a>(self, other: &amp;'a <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/macros.rs.html#77-79' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the <code>*</code> operation.</p>
</div></div><h3 id='impl-Mul%3CBasis2%3CS%3E%3E-1' class='impl'><code class='in-band'>impl&lt;'a, S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a>&lt;<a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for &amp;'a <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Mul%3CBasis2%3CS%3E%3E-1' class='anchor'></a><a class='srclink' href='../src/cgmath/macros.rs.html#82-88' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Output-2' class="type"><code id='Output.t-2'>type <a href='https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output' class="type">Output</a> = <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code></h4><div class='docblock'><p>The resulting type after applying the <code>*</code> operator.</p>
</div><h4 id='method.mul-2' class="method hidden"><code id='mul.v-2'>fn <a href='https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul' class='fnname'>mul</a>(self, other: <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/macros.rs.html#85-87' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the <code>*</code> operation.</p>
</div></div><h3 id='impl-Mul%3C%26%27a%20Basis2%3CS%3E%3E-1' class='impl'><code class='in-band'>impl&lt;'a, 'b, S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a>&lt;&amp;'a <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for &amp;'b <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Mul%3C%26%27a%20Basis2%3CS%3E%3E-1' class='anchor'></a><a class='srclink' href='../src/cgmath/macros.rs.html#90-96' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Output-3' class="type"><code id='Output.t-3'>type <a href='https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output' class="type">Output</a> = <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code></h4><div class='docblock'><p>The resulting type after applying the <code>*</code> operator.</p>
</div><h4 id='method.mul-3' class="method hidden"><code id='mul.v-3'>fn <a href='https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul' class='fnname'>mul</a>(self, other: &amp;'a <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/macros.rs.html#93-95' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Performs the <code>*</code> operation.</p>
</div></div><h3 id='impl-Debug' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>&gt; <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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Debug' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#264-269' 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/cgmath/rotation.rs.html#265-268' 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><h3 id='impl-Product%3CBasis2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html" title="trait core::iter::traits::accum::Product">Product</a>&lt;<a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Product%3CBasis2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#163-168' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.product' class="method hidden"><code id='product.v'>fn <a href='https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html#tymethod.product' class='fnname'>product</a>&lt;I:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/iterator/trait.Iterator.html" title="trait core::iter::traits::iterator::Iterator">Iterator</a>&lt;Item = <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt;&gt;(iter: I) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#165-167' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Method which takes an iterator and generates <code>Self</code> from the elements by multiplying the items. <a href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html#tymethod.product">Read more</a></p>
</div></div><h3 id='impl-Product%3C%26%27a%20Basis2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;'a, S:&nbsp;'a + <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html" title="trait core::iter::traits::accum::Product">Product</a>&lt;&amp;'a <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-Product%3C%26%27a%20Basis2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#170-175' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.product-1' class="method hidden"><code id='product.v-1'>fn <a href='https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html#tymethod.product' class='fnname'>product</a>&lt;I:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/iterator/trait.Iterator.html" title="trait core::iter::traits::iterator::Iterator">Iterator</a>&lt;Item = &amp;'a <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt;&gt;(iter: I) -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#172-174' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Method which takes an iterator and generates <code>Self</code> from the elements by multiplying the items. <a href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html#tymethod.product">Read more</a></p>
</div></div><h3 id='impl-AbsDiffEq%3CBasis2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="../cgmath/trait.AbsDiffEq.html" title="trait cgmath::AbsDiffEq">AbsDiffEq</a>&lt;<a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-AbsDiffEq%3CBasis2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#218-230' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Epsilon' class="type"><code id='Epsilon.t'>type <a href='../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon' class="type">Epsilon</a> = S::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a></code></h4><div class='docblock'><p>Used for specifying relative comparisons.</p>
</div><h4 id='method.default_epsilon' class="method hidden"><code id='default_epsilon.v'>fn <a href='../cgmath/trait.AbsDiffEq.html#tymethod.default_epsilon' class='fnname'>default_epsilon</a>() -&gt; S::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a></code><a class='srclink' href='../src/cgmath/rotation.rs.html#222-224' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The default tolerance to use when testing values that are close together. <a href="../cgmath/trait.AbsDiffEq.html#tymethod.default_epsilon">Read more</a></p>
</div><h4 id='method.abs_diff_eq' class="method hidden"><code id='abs_diff_eq.v'>fn <a href='../cgmath/trait.AbsDiffEq.html#tymethod.abs_diff_eq' class='fnname'>abs_diff_eq</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self, epsilon: S::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/cgmath/rotation.rs.html#227-229' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>A test for equality that uses the absolute difference to compute the approximate equality of two numbers. <a href="../cgmath/trait.AbsDiffEq.html#tymethod.abs_diff_eq">Read more</a></p>
</div><h4 id='method.abs_diff_ne' class="method hidden"><code id='abs_diff_ne.v'>fn <a href='../cgmath/trait.AbsDiffEq.html#method.abs_diff_ne' class='fnname'>abs_diff_ne</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Rhs, epsilon: Self::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/approx/abs_diff_eq.rs.html#26-28' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inverse of <code>ApproxEq::abs_diff_eq</code>.</p>
</div></div><h3 id='impl-RelativeEq%3CBasis2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="../cgmath/trait.RelativeEq.html" title="trait cgmath::RelativeEq">RelativeEq</a>&lt;<a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-RelativeEq%3CBasis2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#232-242' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.default_max_relative' class="method hidden"><code id='default_max_relative.v'>fn <a href='../cgmath/trait.RelativeEq.html#tymethod.default_max_relative' class='fnname'>default_max_relative</a>() -&gt; S::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a></code><a class='srclink' href='../src/cgmath/rotation.rs.html#234-236' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The default relative tolerance for testing values that are far-apart. <a href="../cgmath/trait.RelativeEq.html#tymethod.default_max_relative">Read more</a></p>
</div><h4 id='method.relative_eq' class="method hidden"><code id='relative_eq.v'>fn <a href='../cgmath/trait.RelativeEq.html#tymethod.relative_eq' class='fnname'>relative_eq</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self, <br>&nbsp;&nbsp;&nbsp;&nbsp;epsilon: S::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;max_relative: S::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a><br>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/cgmath/rotation.rs.html#239-241' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>A test for equality that uses a relative comparison if the values are far apart.</p>
</div><h4 id='method.relative_ne' class="method hidden"><code id='relative_ne.v'>fn <a href='../cgmath/trait.RelativeEq.html#method.relative_ne' class='fnname'>relative_ne</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Rhs, <br>&nbsp;&nbsp;&nbsp;&nbsp;epsilon: Self::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;max_relative: Self::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a><br>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/approx/relative_eq.rs.html#29-36' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inverse of <code>ApproxEq::relative_eq</code>.</p>
</div></div><h3 id='impl-UlpsEq%3CBasis2%3CS%3E%3E' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="../cgmath/trait.UlpsEq.html" title="trait cgmath::UlpsEq">UlpsEq</a>&lt;<a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;&gt; for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-UlpsEq%3CBasis2%3CS%3E%3E' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#244-254' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.default_max_ulps' class="method hidden"><code id='default_max_ulps.v'>fn <a href='../cgmath/trait.UlpsEq.html#tymethod.default_max_ulps' class='fnname'>default_max_ulps</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code><a class='srclink' href='../src/cgmath/rotation.rs.html#246-248' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The default ULPs to tolerate when testing values that are far-apart. <a href="../cgmath/trait.UlpsEq.html#tymethod.default_max_ulps">Read more</a></p>
</div><h4 id='method.ulps_eq' class="method hidden"><code id='ulps_eq.v'>fn <a href='../cgmath/trait.UlpsEq.html#tymethod.ulps_eq' class='fnname'>ulps_eq</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self, epsilon: S::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a>, max_ulps: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/cgmath/rotation.rs.html#251-253' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>A test for equality that uses units in the last place (ULP) if the values are far apart.</p>
</div><h4 id='method.ulps_ne' class="method hidden"><code id='ulps_ne.v'>fn <a href='../cgmath/trait.UlpsEq.html#method.ulps_ne' class='fnname'>ulps_ne</a>(&amp;self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Rhs, epsilon: Self::<a class="type" href="../cgmath/trait.AbsDiffEq.html#associatedtype.Epsilon" title="type cgmath::AbsDiffEq::Epsilon">Epsilon</a>, max_ulps: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/approx/ulps_eq.rs.html#24-26' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inverse of <code>ApproxEq::ulps_eq</code>.</p>
</div></div><h3 id='impl-One' class='impl'><code class='in-band'>impl&lt;S:&nbsp;<a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>&gt; <a class="trait" href="../cgmath/prelude/trait.One.html" title="trait cgmath::prelude::One">One</a> for <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a href='#impl-One' class='anchor'></a><a class='srclink' href='../src/cgmath/rotation.rs.html#205-212' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.one' class="method hidden"><code id='one.v'>fn <a href='../cgmath/prelude/trait.One.html#tymethod.one' class='fnname'>one</a>() -&gt; <a class="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt;</code><a class='srclink' href='../src/cgmath/rotation.rs.html#207-211' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Returns the multiplicative identity element of <code>Self</code>, <code>1</code>. <a href="../cgmath/prelude/trait.One.html#tymethod.one">Read more</a></p>
</div><h4 id='method.set_one' class="method hidden"><code id='set_one.v'>fn <a href='../cgmath/prelude/trait.One.html#method.set_one' class='fnname'>set_one</a>(&amp;mut self)</code><a class='srclink' href='../src/num_traits/identities.rs.html#103-105' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Sets <code>self</code> to the multiplicative identity element of <code>Self</code>, <code>1</code>.</p>
</div><h4 id='method.is_one' class="method hidden"><code id='is_one.v'>fn <a href='../cgmath/prelude/trait.One.html#method.is_one' class='fnname'>is_one</a>(&amp;self) -&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;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>&lt;Self&gt;,&nbsp;</span></code><a class='srclink' href='../src/num_traits/identities.rs.html#113-118' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Returns <code>true</code> if <code>self</code> is equal to the multiplicative identity. <a href="../cgmath/prelude/trait.One.html#method.is_one">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&lt;S&gt; <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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;S: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a>,&nbsp;</span></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&lt;S&gt; <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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;S: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a>,&nbsp;</span></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&lt;S&gt; <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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;S: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a>,&nbsp;</span></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&lt;S&gt; <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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;S: <a class="trait" href="https://doc.rust-lang.org/nightly/std/panic/trait.UnwindSafe.html" title="trait std::panic::UnwindSafe">UnwindSafe</a>,&nbsp;</span></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&lt;S&gt; <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="struct" href="../cgmath/struct.Basis2.html" title="struct cgmath::Basis2">Basis2</a>&lt;S&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;S: <a class="trait" href="https://doc.rust-lang.org/nightly/std/panic/trait.RefUnwindSafe.html" title="trait std::panic::RefUnwindSafe">RefUnwindSafe</a>,&nbsp;</span></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><di
</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-1' class="method hidden"><code id='from.v-1'>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>
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