<!DOCTYPE html><htmllang="en"><head><metacharset="utf-8"><metaname="viewport"content="width=device-width, initial-scale=1.0"><metaname="generator"content="rustdoc"><metaname="description"content="API documentation for the Rust `Basis3` struct in crate `cgmath`."><metaname="keywords"content="rust, rustlang, rust-lang, Basis3"><title>cgmath::Basis3 - Rust</title><linkrel="stylesheet"type="text/css"href="../normalize.css"><linkrel="stylesheet"type="text/css"href="../rustdoc.css"id="mainThemeStyle"><linkrel="stylesheet"type="text/css"href="../dark.css"><linkrel="stylesheet"type="text/css"href="../light.css"id="themeStyle"><scriptsrc="../storage.js"></script><noscript><linkrel="stylesheet"href="../noscript.css"></noscript><linkrel="shortcut icon"href="../favicon.ico"><styletype="text/css">#crate-search{background-image:url("../down-arrow.svg");}</style></head><bodyclass="rustdoc struct"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><navclass="sidebar"><divclass="sidebar-menu">☰</div><ahref='../cgmath/index.html'><divclass='logo-container'><imgsrc='../rust-logo.png'alt='logo'></div></a><pclass='location'>Struct Basis3</p><divclass="sidebar-elems"><divclass="block items"><aclass="sidebar-title"href="#methods">Methods</a><divclass="sidebar-links"><ahref="#method.from_quaternion">from_quaternion</a></div><aclass="sidebar-title"href="#implementations">Trait Implementations</a><divclass="sidebar-links"><ahref="#impl-ApproxEq">ApproxEq</a><ahref="#impl-AsRef%3CMatrix3%3CS%3E%3E">AsRef<Matrix3<S>></a><ahref="#impl-Clone">Clone</a><ahref="#impl-Copy">Copy</a><ahref="#impl-Debug">Debug</a><ahref="#impl-From%3CBasis3%3CS%3E%3E">From<Basis3<S>></a><ahref="#impl-From%3CEuler%3CA%3E%3E">From<Euler<A>></a><ahref="#impl-From%3CQuaternion%3CS%3E%3E">From<Quaternion<S>></a><ahref="#impl-Mul%3C%26%27a%20Basis3%3CS%3E%3E">Mul<&'a Basis3<S>></a><ahref="#impl-Mul%3CBasis3%3CS%3E%3E">Mul<Basis3<S>></a><ahref="#impl-One">One</a><ahref="#impl-PartialEq%3CBasis3%3CS%3E%3E">PartialEq<Basis3<S>></a><ahref="#impl-Product%3C%26%27a%20Basis3%3CS%3E%3E">Product<&'a Basis3<S>></a><ahref="#impl-Product%3CBasis3%3CS%3E%3E">Product<Basis3<S>></a><ahref="#impl-Rotation%3CPoint3%3CS%3E%3E">Rotation<Point3<S>></a><ahref="#impl-Rotation3%3CS%3E">Rotation3<S></a></div><aclass="sidebar-title"href="#synthetic-implementations">Auto Trait Implementations</a><divclass="sidebar-links"><ahref="#impl-RefUnwindSafe">RefUnwindSafe</a><ahref="#impl-Send">Send</a><ahref="#impl-Sync">Sync</a><ahref="#impl-Unpin">Unpin</a><ahref="#impl-UnwindSafe">UnwindSafe</a></div><aclass="sidebar-title"href="#blanket-implementations">Blanket Implementations</a><divclass="sidebar-links"><ahref="#impl-Any">Any</a><ahref="#impl-Borrow%3CT%3E">Borrow<T></a><ahref="#impl-BorrowMut%3CT%3E">BorrowMut<T></a><ahref="#impl-From%3CT%3E">From<T></a><ahref="#impl-Into%3CU%3E">Into<U></a><ahref="#impl-ToOwned">ToOwned</a><ahref="#impl-TryFrom%3CU%3E">TryFrom<U></a><ahref="#impl-TryInto%3CU%3E">TryInto<U></a></div></div><pclass='location'><ahref='index.html'>cgmath</a></p><script>window.sidebarCurrent={name:'Basis3',ty:'struct',relpath:''};</script><scriptdefersrc="sidebar-items.js"></script></div></nav><divclass="theme-picker"><buttonid="theme-picker"aria-label="Pick another theme!"><imgsrc="../brush.svg"width="18"alt="Pick another theme!"></button><divid="theme-choices"></div></div><scriptsrc="../theme.js"></script><navclass="sub"><formclass="search-form js-only"><divclass="search-container"><div><selectid="crate-search"><optionvalue="All crates">All crates</option></select><inputclass="search-input"name="search"autocomplete="off"spellcheck="false"placeholder="Click or press ‘S’ to search, ‘?’ for more options…"type="sea
<p>The matrix is guaranteed to be orthogonal, so some operations, specifically
inversion, can be implemented more efficiently than the implementations for
<code>math::Matrix3</code>. To ensure orthogonality is maintained, the operations have
been restricted to a subset of those implemented on <code>Matrix3</code>.</p>
</div><h2id='methods'class='small-section-header'>Methods<ahref='#methods'class='anchor'></a></h2><h3id='impl'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="../cgmath/trait.BaseFloat.html"title="trait cgmath::BaseFloat">BaseFloat</a>><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#272-280'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.from_quaternion'class="method"><codeid='from_quaternion.v'>pub fn <ahref='#method.from_quaternion'class='fnname'>from_quaternion</a>(quaternion: &<aclass="struct"href="../cgmath/struct.Quaternion.html"title="struct cgmath::Quaternion">Quaternion</a><S>) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#275-279'title='goto source code'>[src]</a></h4><divclass='docblock'><p>Create a new rotation matrix from a quaternion.</p>
</div></div><h2id='implementations'class='small-section-header'>Trait Implementations<ahref='#implementations'class='anchor'></a></h2><divid='implementations-list'><h3id='impl-Rotation%3CPoint3%3CS%3E%3E'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="../cgmath/trait.BaseFloat.html"title="trait cgmath::BaseFloat">BaseFloat</a>><aclass="trait"href="../cgmath/prelude/trait.Rotation.html"title="trait cgmath::prelude::Rotation">Rotation</a><<aclass="struct"href="../cgmath/struct.Point3.html"title="struct cgmath::Point3">Point3</a><S>> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-Rotation%3CPoint3%3CS%3E%3E'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#317-344'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.look_at'class="method hidden"><codeid='look_at.v'>fn <ahref='../cgmath/prelude/trait.Rotation.html#tymethod.look_at'class='fnname'>look_at</a>(dir: <aclass="struct"href="../cgmath/struct.Vector3.html"title="struct cgmath::Vector3">Vector3</a><S>, up: <aclass="struct"href="../cgmath/struct.Vector3.html"title="struct cgmath::Vector3">Vector3</a><S>) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#319-323'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Create a rotation to a given direction with an 'up' vector.</p>
</div><h4id='method.between_vectors'class="method hidden"><codeid='between_vectors.v'>fn <ahref='../cgmath/prelude/trait.Rotation.html#tymethod.between_vectors'class='fnname'>between_vectors</a>(a: <aclass="struct"href="../cgmath/struct.Vector3.html"title="struct cgmath::Vector3">Vector3</a><S>, b: <aclass="struct"href="../cgmath/struct.Vector3.html"title="struct cgmath::Vector3">Vector3</a><S>) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#326-329'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Create a shortest rotation to transform vector 'a' into 'b'. Both given vectors are assumed to have unit length. <ahref="../cgmath/prelude/trait.Rotation.html#tymethod.between_vectors">Read more</a></p>
</div><h4id='method.rotate_vector'class="method hidden"><codeid='rotate_vector.v'>fn <ahref='../cgmath/prelude/trait.Rotation.html#tymethod.rotate_vector'class='fnname'>rotate_vector</a>(&self, vec: <aclass="struct"href="../cgmath/struct.Vector3.html"title="struct cgmath::Vector3">Vector3</a><S>) -><aclass="struct"href="../cgmath/struct.Vector3.html"title="struct cgmath::Vector3">Vector3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#332-334'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Rotate a vector using this rotation.</p>
</div><h4id='method.invert'class="method hidden"><codeid='invert.v'>fn <ahref='../cgmath/prelude/trait.Rotation.html#tymethod.invert'class='fnname'>invert</a>(&self) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#339-343'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Create a new rotation which "un-does" this rotation. That is, <code>r * r.invert()</code> is the identity. <ahref="../cgmath/prelude/trait.Rotation.html#tymethod.invert">Read more</a></p>
</div><h4id='method.rotate_point'class="method hidden"><codeid='rotate_point.v'>fn <ahref='../cgmath/prelude/trait.Rotation.html#method.rotate_point'class='fnname'>rotate_point</a>(&self, point: P) -> P</code><aclass='srclink'href='../src/cgmath/rotation.rs.html#53-55'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Rotate a point using this rotation, by converting it to its representation as a vector. <ahref="../cgmath/prelude/trait.Rotation.html#method.rotate_point">Read more</a></p>
</div></div><h3id='impl-Rotation3%3CS%3E'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="../cgmath/trait.BaseFloat.html"title="trait cgmath::BaseFloat">BaseFloat</a>><aclass="trait"href="../cgmath/prelude/trait.Rotation3.html"title="trait cgmath::prelude::Rotation3">Rotation3</a><S> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-Rotation3%3CS%3E'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#388-412'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.from_axis_angle'class="method hidden"><codeid='from_axis_angle.v'>fn <ahref='../cgmath/prelude/trait.Rotation3.html#tymethod.from_axis_angle'class='fnname'>from_axis_angle</a><A: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html"title="trait core::convert::Into">Into</a><<aclass="struct"href="../cgmath/struct.Rad.html"title="struct cgmath::Rad">Rad</a><S>>>(axis: <aclass="struct"href="../cgmath/struct.Vector3.html"title="struct cgmath::Vector3">Vector3</a><S>, angle: A) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#389-393'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Create a rotation using an angle around a given axis. <ahref="../cgmath/prelude/trait.Rotation3.html#tymethod.from_axis_angle">Read more</a></p>
</div><h4id='method.from_angle_x'class="method hidden"><codeid='from_angle_x.v'>fn <ahref='../cgmath/prelude/trait.Rotation3.html#method.from_angle_x'class='fnname'>from_angle_x</a><A: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html"title="trait core::convert::Into">Into</a><<aclass="struct"href="../cgmath/struct.Rad.html"title="struct cgmath::Rad">Rad</a><S>>>(theta: A) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#395-399'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Create a rotation from an angle around the <code>x</code> axis (pitch).</p>
</div><h4id='method.from_angle_y'class="method hidden"><codeid='from_angle_y.v'>fn <ahref='../cgmath/prelude/trait.Rotation3.html#method.from_angle_y'class='fnname'>from_angle_y</a><A: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html"title="trait core::convert::Into">Into</a><<aclass="struct"href="../cgmath/struct.Rad.html"title="struct cgmath::Rad">Rad</a><S>>>(theta: A) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#401-405'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Create a rotation from an angle around the <code>y</code> axis (yaw).</p>
</div><h4id='method.from_angle_z'class="method hidden"><codeid='from_angle_z.v'>fn <ahref='../cgmath/prelude/trait.Rotation3.html#method.from_angle_z'class='fnname'>from_angle_z</a><A: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html"title="trait core::convert::Into">Into</a><<aclass="struct"href="../cgmath/struct.Rad.html"title="struct cgmath::Rad">Rad</a><S>>>(theta: A) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#407-411'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Create a rotation from an angle around the <code>z</code> axis (roll).</p>
</div></div><h3id='impl-AsRef%3CMatrix3%3CS%3E%3E'class='impl'><codeclass='in-band'>impl<S><aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html"title="trait core::convert::AsRef">AsRef</a><<aclass="struct"href="../cgmath/struct.Matrix3.html"title="struct cgmath::Matrix3">Matrix3</a><S>> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-AsRef%3CMatrix3%3CS%3E%3E'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#282-287'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.as_ref'class="method hidden"><codeid='as_ref.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html#tymethod.as_ref'class='fnname'>as_ref</a>(&self) ->&<aclass="struct"href="../cgmath/struct.Matrix3.html"title="struct cgmath::Matrix3">Matrix3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#284-286'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3id='impl-Clone'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html"title="trait core::clone::Clone">Clone</a>><aclass="trait"href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html"title="trait core::clone::Clone">Clone</a> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-Clone'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#266'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.clone'class="method hidden"><codeid='clone.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone'class='fnname'>clone</a>(&self) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#266'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Returns a copy of the value. <ahref="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></p>
</div><h4id='method.clone_from'class="method hidden"><codeid='clone_from.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from'class='fnname'>clone_from</a>(&mut self, source: <aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>Self)</code><spanclass='since'title='Stable since Rust version 1.0.0'>1.0.0</span><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/clone.rs.html#131-133'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Performs copy-assignment from <code>source</code>. <ahref="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></p>
</div></div><h3id='impl-PartialEq%3CBasis3%3CS%3E%3E'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html"title="trait core::cmp::PartialEq">PartialEq</a>><aclass="trait"href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html"title="trait core::cmp::PartialEq">PartialEq</a><<aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S>> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-PartialEq%3CBasis3%3CS%3E%3E'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#266'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.eq'class="method hidden"><codeid='eq.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq'class='fnname'>eq</a>(&self, other: &<aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S>) -><aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#266'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used by <code>==</code>. <ahref="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq">Read more</a></p>
</div></div><h3id='impl-Copy'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html"title="trait core::marker::Copy">Copy</a>><aclass="trait"href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html"title="trait core::marker::Copy">Copy</a> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-Copy'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#266'title='goto source code'>[src]</a></h3><divclass='impl-items'></div><h3id='impl-Debug'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html"title="trait core::fmt::Debug">Debug</a>><aclass="trait"href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html"title="trait core::fmt::Debug">Debug</a> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-Debug'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#426-431'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.fmt'class="method hidden"><codeid='fmt.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt'class='fnname'>fmt</a>(&self, f: &mut <aclass="struct"href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html"title="struct core::fmt::Formatter">Formatter</a>) -><aclass="type"href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html"title="type core::fmt::Result">Result</a></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#427-430'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Formats the value using the given formatter. <ahref="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></div><h3id='impl-Mul%3CBasis3%3CS%3E%3E'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="../cgmath/trait.BaseFloat.html"title="trait cgmath::BaseFloat">BaseFloat</a>><aclass="trait"href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html"title="trait core::ops::arith::Mul">Mul</a><<aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S>> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-Mul%3CBasis3%3CS%3E%3E'class='anchor'></a><aclass='srclink'href='../src/cgmath/macros.rs.html#66-72'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='associatedtype.Output'class="type"><codeid='Output.t'>type <ahref='https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output'class="type">Output</a> = <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code></h4><divclass='docblock'><p>The resulting type after applying the <code>*</code> operator.</p>
</div></div><h3id='impl-Product%3CBasis3%3CS%3E%3E'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="../cgmath/trait.BaseFloat.html"title="trait cgmath::BaseFloat">BaseFloat</a>><aclass="trait"href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html"title="trait core::iter::traits::accum::Product">Product</a><<aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S>> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-Product%3CBasis3%3CS%3E%3E'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#303-308'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.product'class="method hidden"><codeid='product.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html#tymethod.product'class='fnname'>product</a><I: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/iter/traits/iterator/trait.Iterator.html"title="trait core::iter::traits::iterator::Iterator">Iterator</a><Item = <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S>>>(iter: I) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#305-307'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Method which takes an iterator and generates <code>Self</code> from the elements by multiplying the items. <ahref="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html#tymethod.product">Read more</a></p>
</div></div><h3id='impl-Product%3C%26%27a%20Basis3%3CS%3E%3E'class='impl'><codeclass='in-band'>impl<'a, S: 'a + <aclass="trait"href="../cgmath/trait.BaseFloat.html"title="trait cgmath::BaseFloat">BaseFloat</a>><aclass="trait"href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html"title="trait core::iter::traits::accum::Product">Product</a><&'a <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S>> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-Product%3C%26%27a%20Basis3%3CS%3E%3E'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#310-315'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.product-1'class="method hidden"><codeid='product.v-1'>fn <ahref='https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html#tymethod.product'class='fnname'>product</a><I: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/iter/traits/iterator/trait.Iterator.html"title="trait core::iter::traits::iterator::Iterator">Iterator</a><Item = &'a <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S>>>(iter: I) -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#312-314'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Method which takes an iterator and generates <code>Self</code> from the elements by multiplying the items. <ahref="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html#tymethod.product">Read more</a></p>
</div></div><h3id='impl-ApproxEq'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="../cgmath/trait.BaseFloat.html"title="trait cgmath::BaseFloat">BaseFloat</a>><aclass="trait"href="../cgmath/trait.ApproxEq.html"title="trait cgmath::ApproxEq">ApproxEq</a> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-ApproxEq'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#359-386'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='associatedtype.Epsilon'class="type"><codeid='Epsilon.t'>type <ahref='../cgmath/trait.ApproxEq.html#associatedtype.Epsilon'class="type">Epsilon</a> = S::<aclass="type"href="../cgmath/trait.ApproxEq.html#associatedtype.Epsilon"title="type cgmath::ApproxEq::Epsilon">Epsilon</a></code></h4><divclass='docblock'><p>Used for specifying relative comparisons.</p>
</div><h4id='method.default_epsilon'class="method hidden"><codeid='default_epsilon.v'>fn <ahref='../cgmath/trait.ApproxEq.html#tymethod.default_epsilon'class='fnname'>default_epsilon</a>() -> S::<aclass="type"href="../cgmath/trait.ApproxEq.html#associatedtype.Epsilon"title="type cgmath::ApproxEq::Epsilon">Epsilon</a></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#363-365'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>The default tolerance to use when testing values that are close together. <ahref="../cgmath/trait.ApproxEq.html#tymethod.default_epsilon">Read more</a></p>
</div><h4id='method.default_max_relative'class="method hidden"><codeid='default_max_relative.v'>fn <ahref='../cgmath/trait.ApproxEq.html#tymethod.default_max_relative'class='fnname'>default_max_relative</a>() -> S::<aclass="type"href="../cgmath/trait.ApproxEq.html#associatedtype.Epsilon"title="type cgmath::ApproxEq::Epsilon">Epsilon</a></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#368-370'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>The default relative tolerance for testing values that are far-apart. <ahref="../cgmath/trait.ApproxEq.html#tymethod.default_max_relative">Read more</a></p>
</div><h4id='method.default_max_ulps'class="method hidden"><codeid='default_max_ulps.v'>fn <ahref='../cgmath/trait.ApproxEq.html#tymethod.default_max_ulps'class='fnname'>default_max_ulps</a>() -><aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#373-375'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>The default ULPs to tolerate when testing values that are far-apart. <ahref="../cgmath/trait.ApproxEq.html#tymethod.default_max_ulps">Read more</a></p>
</div><h4id='method.relative_eq'class="method hidden"><codeid='relative_eq.v'>fn <ahref='../cgmath/trait.ApproxEq.html#tymethod.relative_eq'class='fnname'>relative_eq</a>(<br> &self, <br> other: <aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>Self, <br> epsilon: S::<aclass="type"href="../cgmath/trait.ApproxEq.html#associatedtype.Epsilon"title="type cgmath::ApproxEq::Epsilon">Epsilon</a>, <br> max_relative: S::<aclass="type"href="../cgmath/trait.ApproxEq.html#associatedtype.Epsilon"title="type cgmath::ApproxEq::Epsilon">Epsilon</a><br>) -><aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#378-380'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>A test for equality that uses a relative comparison if the values are far apart.</p>
</div><h4id='method.ulps_eq'class="method hidden"><codeid='ulps_eq.v'>fn <ahref='../cgmath/trait.ApproxEq.html#tymethod.ulps_eq'class='fnname'>ulps_eq</a>(&self, other: <aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>Self, epsilon: S::<aclass="type"href="../cgmath/trait.ApproxEq.html#associatedtype.Epsilon"title="type cgmath::ApproxEq::Epsilon">Epsilon</a>, max_ulps: <aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -><aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#383-385'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>A test for equality that uses units in the last place (ULP) if the values are far apart.</p>
</div></div><h3id='impl-One'class='impl'><codeclass='in-band'>impl<S: <aclass="trait"href="../cgmath/trait.BaseFloat.html"title="trait cgmath::BaseFloat">BaseFloat</a>><aclass="trait"href="../cgmath/prelude/trait.One.html"title="trait cgmath::prelude::One">One</a> for <aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><ahref='#impl-One'class='anchor'></a><aclass='srclink'href='../src/cgmath/rotation.rs.html#346-353'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.one'class="method hidden"><codeid='one.v'>fn <ahref='../cgmath/prelude/trait.One.html#tymethod.one'class='fnname'>one</a>() -><aclass="struct"href="../cgmath/struct.Basis3.html"title="struct cgmath::Basis3">Basis3</a><S></code><aclass='srclink'href='../src/cgmath/rotation.rs.html#348-352'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Returns the multiplicative identity element of <code>Self</code>, <code>1</code>. <ahref="../cgmath/prelude/trait.One.html#tymethod.one">Read more</a></p>
</div><h4id='method.set_one'class="method hidden"><codeid='set_one.v'>fn <ahref='../cgmath/prelude/trait.One.html#method.set_one'class='fnname'>set_one</a>(&mut self)</code><aclass='srclink'href='../src/num_traits/identities.rs.html#103-105'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Sets <code>self</code> to the multiplicative identity element of <code>Self</code>, <code>1</code>.</p>
</div><h4id='method.is_one'class="method hidden"><codeid='is_one.v'>fn <ahref='../cgmath/prelude/trait.One.html#method.is_one'class='fnname'>is_one</a>(&self) -><aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a><spanclass="where fmt-newline">where<br> Self: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html"title="trait core::cmp::PartialEq">PartialEq</a><Self>, </span></code><aclass='srclink'href='../src/num_traits/identities.rs.html#113-118'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Returns <code>true</code> if <code>self</code> is equal to the multiplicative identity. <ahref="../cgmath/prelude/trait.One.html#method.is_one">Read more</a></p>
</div></div><h3id='impl-ToOwned'class='impl'><codeclass='in-band'>impl<T><aclass="trait"href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html"title="trait alloc::borrow::ToOwned">ToOwned</a> for T <spanclass="where fmt-newline">where<br> T: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html"title="trait core::clone::Clone">Clone</a>, </span></code><ahref='#impl-ToOwned'class='anchor'></a><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#81-92'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='associatedtype.Owned'class="type"><codeid='Owned.t'>type <ahref='https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#associatedtype.Owned'class="type">Owned</a> = T</code></h4><divclass='docblock'><p>The resulting type after obtaining ownership.</p>
</div><h4id='method.to_owned'class="method hidden"><codeid='to_owned.v'>fn <ahref='https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#tymethod.to_owned'class='fnname'>to_owned</a>(&self) -> T</code><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#85-87'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Creates owned data from borrowed data, usually by cloning. <ahref="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#tymethod.to_owned">Read more</a></p>
</div><h4id='method.clone_into'class="method hidden"><codeid='clone_into.v'>fn <ahref='https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#method.clone_into'class='fnname'>clone_into</a>(&self, target: <aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut </a>T)</code><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#89-91'title='goto source code'>[src]</a></h4><divclass='stability hidden'><divclass='stab unstable'><details><summary><spanclass='emoji'>🔬</span> This is a nightly-only experimental API. (<code>toowned_clone_into</code>)</summary><p>recently added</p>
</details></div></div><divclass='docblock hidden'><p>Uses borrowed data to replace owned data, usually by cloning. <ahref="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#method.clone_into">Read more</a></p>
</div></div><h3id='impl-TryFrom%3CU%3E'class='impl'><codeclass='in-band'>impl<T, U><aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html"title="trait core::convert::TryFrom">TryFrom</a><U> for T <spanclass="where fmt-newline">where<br> U: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html"title="trait core::convert::Into">Into</a><T>, </span></code><ahref='#impl-TryFrom%3CU%3E'class='anchor'></a><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#571-577'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='associatedtype.Error'class="type"><codeid='Error.t'>type <ahref='https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error'class="type">Error</a> = <aclass="enum"href="https://doc.rust-lang.org/nightly/core/convert/enum.Infallible.html"title="enum core::convert::Infallible">Infallible</a></code></h4><divclass='docblock'><p>The type returned in the event of a conversion error.</p>
</div><h4id='method.try_from'class="method hidden"><codeid='try_from.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from'class='fnname'>try_from</a>(value: U) -><aclass="enum"href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html"title="enum core::result::Result">Result</a><T, <T as <aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html"title="trait core::convert::TryFrom">TryFrom</a><U>>::<aclass="type"href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error"title="type core::convert::TryFrom::Error">Error</a>></code><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#574-576'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3id='impl-TryInto%3CU%3E'class='impl'><codeclass='in-band'>impl<T, U><aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html"title="trait core::convert::TryInto">TryInto</a><U> for T <spanclass="where fmt-newline">where<br> U: <aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html"title="trait core::convert::TryFrom">TryFrom</a><T>, </span></code><ahref='#impl-TryInto%3CU%3E'class='anchor'></a><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#559-566'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='associatedtype.Error-1'class="type"><codeid='Error.t-1'>type <ahref='https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#associatedtype.Error'class="type">Error</a> = <U as <aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html"title="trait core::convert::TryFrom">TryFrom</a><T>>::<aclass="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><divclass='docblock'><p>The type returned in the event of a conversion error.</p>
</div><h4id='method.try_into'class="method hidden"><codeid='try_into.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#tymethod.try_into'class='fnname'>try_into</a>(self) -><aclass="enum"href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html"title="enum core::result::Result">Result</a><U, <U as <aclass="trait"href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html"title="trait core::convert::TryFrom">TryFrom</a><T>>::<aclass="type"href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error"title="type core::convert::TryFrom::Error">Error</a>></code><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#563-565'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Performs the conversion.</p>
</div></div><h3id='impl-BorrowMut%3CT%3E'class='impl'><codeclass='in-band'>impl<T><aclass="trait"href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html"title="trait core::borrow::BorrowMut">BorrowMut</a><T> for T <spanclass="where fmt-newline">where<br> T: ?<aclass="trait"href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html"title="trait core::marker::Sized">Sized</a>, </span></code><ahref='#impl-BorrowMut%3CT%3E'class='anchor'></a><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#218-220'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.borrow_mut'class="method hidden"><codeid='borrow_mut.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut'class='fnname'>borrow_mut</a>(&mut self) -><aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut </a>T</code><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#219'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Mutably borrows from an owned value. <ahref="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></p>
</div></div><h3id='impl-Borrow%3CT%3E'class='impl'><codeclass='in-band'>impl<T><aclass="trait"href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html"title="trait core::borrow::Borrow">Borrow</a><T> for T <spanclass="where fmt-newline">where<br> T: ?<aclass="trait"href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html"title="trait core::marker::Sized">Sized</a>, </span></code><ahref='#impl-Borrow%3CT%3E'class='anchor'></a><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#213-215'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.borrow'class="method hidden"><codeid='borrow.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow'class='fnname'>borrow</a>(&self) -><aclass="primitive"href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>T</code><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#214'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Immutably borrows from an owned value. <ahref="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></p>
</div></div><h3id='impl-Any'class='impl'><codeclass='in-band'>impl<T><aclass="trait"href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html"title="trait core::any::Any">Any</a> for T <spanclass="where fmt-newline">where<br> T: 'static + ?<aclass="trait"href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html"title="trait core::marker::Sized">Sized</a>, </span></code><ahref='#impl-Any'class='anchor'></a><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/any.rs.html#100-102'title='goto source code'>[src]</a></h3><divclass='impl-items'><h4id='method.type_id'class="method hidden"><codeid='type_id.v'>fn <ahref='https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id'class='fnname'>type_id</a>(&self) -><aclass="struct"href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html"title="struct core::any::TypeId">TypeId</a></code><aclass='srclink'href='https://doc.rust-lang.org/nightly/src/core/any.rs.html#101'title='goto source code'>[src]</a></h4><divclass='docblock hidden'><p>Gets the <code>TypeId</code> of <code>self</code>. <ahref="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></p>
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