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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 `SVD` struct in crate `nalgebra`."><meta name="keywords" content="rust, rustlang, rust-lang, SVD"><title>nalgebra::linalg::SVD - Rust</title><link rel="stylesheet" type="text/css" href="../../normalize.css"><link rel="stylesheet" type="text/css" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../../dark.css"><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script src="../../storage.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="shortcut icon" href="http://nalgebra.org/img/favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc 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">☰</div><a href='../../nalgebra/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Struct SVD</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#fields">Fields</a><div class="sidebar-links"><a href="#structfield.u">u</a><a href="#structfield.v_t">v_t</a><a href="#structfield.singular_values">singular_values</a></div><a class="sidebar-title" href="#methods">Methods</a><div class="sidebar-links"><a href="#method.new">new</a><a href="#method.pseudo_inverse">pseudo_inverse</a><a href="#method.rank">rank</a><a href="#method.recompose">recompose</a><a href="#method.solve">solve</a><a href="#method.try_new">try_new</a></div><a class="sidebar-title" href="#implementations">Trait Implementations</a><div class="sidebar-links"><a href="#impl-Clone">Clone</a><a href="#impl-Copy">Copy</a><a href="#impl-Debug">Debug</a></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<T></a><a href="#impl-BorrowMut%3CT%3E">BorrowMut<T></a><a href="#impl-From%3CT%3E">From<T></a><a href="#impl-Into%3CU%3E">Into<U></a><a href="#impl-Same%3CT%3E">Same<T></a><a href="#impl-SupersetOf%3CSS%3E">SupersetOf<SS></a><a href="#impl-ToOwned">ToOwned</a><a href="#impl-TryFrom%3CU%3E">TryFrom<U></a><a href="#impl-TryInto%3CU%3E">TryInto<U></a></div></div><p class='location'><a href='../index.html'>nalgebra</a>::<wbr><a href='index.html'>linalg</a></p><script>window.sidebarCurrent = {name: 'SVD', 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" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><h1 class='fqn'><span class='out-of-band'><span id='render-detail'><a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span cl
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pub u: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, R, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>>>,
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pub v_t: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>, C>>,
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pub singular_values: <a class="type" href="../../nalgebra/base/type.VectorN.html" title="type nalgebra::base::VectorN">VectorN</a><N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>>,
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}</pre></div><div class='docblock'><p>Singular Value Decomposition of a general matrix.</p>
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</div><h2 id='fields' class='fields small-section-header'>
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Fields<a href='#fields' class='anchor'></a></h2><span id="structfield.u" class="structfield small-section-header"><a href="#structfield.u" class="anchor field"></a><code id="u.v">u: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, R, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>>></code></span><div class='docblock'><p>The left-singular vectors <code>U</code> of this SVD.</p>
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</div><span id="structfield.v_t" class="structfield small-section-header"><a href="#structfield.v_t" class="anchor field"></a><code id="v_t.v">v_t: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>, C>></code></span><div class='docblock'><p>The right-singular vectors <code>V^t</code> of this SVD.</p>
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</div><span id="structfield.singular_values" class="structfield small-section-header"><a href="#structfield.singular_values" class="anchor field"></a><code id="singular_values.v">singular_values: <a class="type" href="../../nalgebra/base/type.VectorN.html" title="type nalgebra::base::VectorN">VectorN</a><N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>></code></span><div class='docblock'><p>The singular values of this SVD.</p>
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</div><h2 id='methods' class='small-section-header'>Methods<a href='#methods' class='anchor'></a></h2><h3 id='impl' class='impl'><code class='in-band'>impl<N: <a class="trait" href="../../nalgebra/trait.ComplexField.html" title="trait nalgebra::ComplexField">ComplexField</a>, R: <a class="trait" href="../../nalgebra/base/dimension/trait.DimMin.html" title="trait nalgebra::base::dimension::DimMin">DimMin</a><C>, C: <a class="trait" href="../../nalgebra/base/dimension/trait.Dim.html" title="trait nalgebra::base::dimension::Dim">Dim</a>> <a class="struct" href="../../nalgebra/linalg/struct.SVD.html" title="struct nalgebra::linalg::SVD">SVD</a><N, R, C> <span class="where fmt-newline">where<br> <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>: <a class="trait" href="../../nalgebra/base/dimension/trait.DimSub.html" title="trait nalgebra::base::dimension::DimSub">DimSub</a><<a class="struct" href="../../nalgebra/base/dimension/struct.U1.html" title="struct nalgebra::base::dimension::U1">U1</a>>,<br> <a class="struct" href="../../nalgebra/base/default_allocator/struct.DefaultAllocator.html" title="struct nalgebra::base::default_allocator::DefaultAllocator">DefaultAllocator</a>: <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, R, C> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, C> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, R> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, <a class="type" href="../../nalgebra/base/dimension/type.DimDiff.html" title="type nalgebra::base::dimension::DimDiff">DimDiff</a><<a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>, <a class="struct" href="../../nalgebra/base/dimension/struct.U1.html" title="struct nalgebra::base::dimension::U1">U1</a>>> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>, C> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, R, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>, <a class="type" href=
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</div><h4 id='method.try_new' class="method"><code id='try_new.v'>pub fn <a href='#method.try_new' class='fnname'>try_new</a>(<br> matrix: <a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, R, C>, <br> compute_u: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>, <br> compute_v: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>, <br> eps: N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>, <br> max_niter: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a><br>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><Self></code><a class='srclink' href='../../src/nalgebra/linalg/svd.rs.html#94-286' title='goto source code'>[src]</a></h4><div class='docblock'><p>Attempts to compute the Singular Value Decomposition of <code>matrix</code> using implicit shift.</p>
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<h1 id="arguments" class="section-header"><a href="#arguments">Arguments</a></h1>
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<ul>
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<li><code>compute_u</code> − set this to <code>true</code> to enable the computation of left-singular vectors.</li>
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<li><code>compute_v</code> − set this to <code>true</code> to enable the computation of left-singular vectors.</li>
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<li><code>eps</code> − tolerance used to determine when a value converged to 0.</li>
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<li><code>max_niter</code> − maximum total number of iterations performed by the algorithm. If this
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number of iteration is exceeded, <code>None</code> is returned. If <code>niter == 0</code>, then the algorithm
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continues indefinitely until convergence.</li>
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</ul>
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</div><h4 id='method.rank' class="method"><code id='rank.v'>pub fn <a href='#method.rank' class='fnname'>rank</a>(&self, eps: N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code><a class='srclink' href='../../src/nalgebra/linalg/svd.rs.html#448-454' title='goto source code'>[src]</a></h4><div class='docblock'><p>Computes the rank of the decomposed matrix, i.e., the number of singular values greater
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than <code>eps</code>.</p>
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</div><h4 id='method.recompose' class="method"><code id='recompose.v'>pub fn <a href='#method.recompose' class='fnname'>recompose</a>(self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, R, C>, &'static <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a>></code><a class='srclink' href='../../src/nalgebra/linalg/svd.rs.html#461-474' title='goto source code'>[src]</a></h4><div class='docblock'><p>Rebuild the original matrix.</p>
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<p>This is useful if some of the singular values have been manually modified.
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Returns <code>Err</code> if the right- and left- singular vectors have not been
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computed at construction-time.</p>
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</div><h4 id='method.pseudo_inverse' class="method"><code id='pseudo_inverse.v'>pub fn <a href='#method.pseudo_inverse' class='fnname'>pseudo_inverse</a>(<br> self, <br> eps: N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a><br>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, C, R>, &'static <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a>> <span class="where fmt-newline">where<br> <a class="struct" href="../../nalgebra/base/default_allocator/struct.DefaultAllocator.html" title="struct nalgebra::base::default_allocator::DefaultAllocator">DefaultAllocator</a>: <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, C, R>, </span></code><a class='srclink' href='../../src/nalgebra/linalg/svd.rs.html#481-501' title='goto source code'>[src]</a></h4><div class='docblock'><p>Computes the pseudo-inverse of the decomposed matrix.</p>
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<p>Any singular value smaller than <code>eps</code> is assumed to be zero.
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Returns <code>Err</code> if the right- and left- singular vectors have not
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been computed at construction-time.</p>
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</div><h4 id='method.solve' class="method"><code id='solve.v'>pub fn <a href='#method.solve' class='fnname'>solve</a><R2: <a class="trait" href="../../nalgebra/base/dimension/trait.Dim.html" title="trait nalgebra::base::dimension::Dim">Dim</a>, C2: <a class="trait" href="../../nalgebra/base/dimension/trait.Dim.html" title="trait nalgebra::base::dimension::Dim">Dim</a>, S2>(<br> &self, <br> b: &<a class="struct" href="../../nalgebra/base/struct.Matrix.html" title="struct nalgebra::base::Matrix">Matrix</a><N, R2, C2, S2>, <br> eps: N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a><br>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, C, C2>, &'static <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a>> <span class="where fmt-newline">where<br> S2: <a class="trait" href="../../nalgebra/base/storage/trait.Storage.html" title="trait nalgebra::base::storage::Storage">Storage</a><N, R2, C2>,<br> <a class="struct" href="../../nalgebra/base/default_allocator/struct.DefaultAllocator.html" title="struct nalgebra::base::default_allocator::DefaultAllocator">DefaultAllocator</a>: <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, C, C2> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>, C2>,<br> <a class="struct" href="../../nalgebra/base/constraint/struct.ShapeConstraint.html" title="struct nalgebra::base::constraint::ShapeConstraint">ShapeConstraint</a>: <a class="trait" href="../../nalgebra/base/constraint/trait.SameNumberOfRows.html" title="trait nalgebra::base::constraint::SameNumberOfRows">SameNumberOfRows</a><R, R2>, </span></code><a class='srclink' href='../../src/nalgebra/linalg/svd.rs.html#508-546' title='goto source code'>[src]</a></h4><div class='docblock'><p>Solves the system <code>self * x = b</code> where <code>self</code> is the decomposed matrix and <code>x</code> the unknown.</p>
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<p>Any singular value smaller than <code>eps</code> is assumed to be zero.
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Returns <code>Err</code> if the singular vectors <code>U</code> and <code>V</code> have not been computed.</p>
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</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-Clone' class='impl'><code class='in-band'>impl<N: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="../../nalgebra/trait.ComplexField.html" title="trait nalgebra::ComplexField">ComplexField</a>, R: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="../../nalgebra/base/dimension/trait.DimMin.html" title="trait nalgebra::base::dimension::DimMin">DimMin</a><C>, C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="../../nalgebra/base/dimension/trait.Dim.html" title="trait nalgebra::base::dimension::Dim">Dim</a>> <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="../../nalgebra/linalg/struct.SVD.html" title="struct nalgebra::linalg::SVD">SVD</a><N, R, C> <span class="where fmt-newline">where<br> <a class="struct" href="../../nalgebra/base/default_allocator/struct.DefaultAllocator.html" title="struct nalgebra::base::default_allocator::DefaultAllocator">DefaultAllocator</a>: <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>, C> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, R, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>>,<br> N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>, </span></code><a href='#impl-Clone' class='anchor'></a><a class='srclink' href='../../src/nalgebra/linalg/svd.rs.html#42' 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>(&self) -> <a class="struct" href="../../nalgebra/linalg/struct.SVD.html" title="struct nalgebra::linalg::SVD">SVD</a><N, R, C></code><a class='srclink' href='../../src/nalgebra/linalg/svd.rs.html#42' 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>
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</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>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</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>
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</div></div><h3 id='impl-Copy' class='impl'><code class='in-band'>impl<N: <a class="trait" href="../../nalgebra/trait.ComplexField.html" title="trait nalgebra::ComplexField">ComplexField</a>, R: <a class="trait" href="../../nalgebra/base/dimension/trait.DimMin.html" title="trait nalgebra::base::dimension::DimMin">DimMin</a><C>, C: <a class="trait" href="../../nalgebra/base/dimension/trait.Dim.html" title="trait nalgebra::base::dimension::Dim">Dim</a>> <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="../../nalgebra/linalg/struct.SVD.html" title="struct nalgebra::linalg::SVD">SVD</a><N, R, C> <span class="where fmt-newline">where<br> <a class="struct" href="../../nalgebra/base/default_allocator/struct.DefaultAllocator.html" title="struct nalgebra::base::default_allocator::DefaultAllocator">DefaultAllocator</a>: <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>, C> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N, R, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>> + <a class="trait" href="../../nalgebra/base/allocator/trait.Allocator.html" title="trait nalgebra::base::allocator::Allocator">Allocator</a><N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>>,<br> <a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, R, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a>,<br> <a class="type" href="../../nalgebra/base/type.MatrixMN.html" title="type nalgebra::base::MatrixMN">MatrixMN</a><N, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>, C>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a>,<br> <a class="type" href="../../nalgebra/base/type.VectorN.html" title="type nalgebra::base::VectorN">VectorN</a><N::<a class="type" href="../../nalgebra/trait.ComplexField.html#associatedtype.RealField" title="type nalgebra::ComplexField::RealField">RealField</a>, <a class="type" href="../../nalgebra/base/dimension/type.DimMinimum.html" title="type nalgebra::base::dimension::DimMinimum">DimMinimum</a><R, C>>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a>, </span></code><a href='#impl-Copy' class='anchor'></a><a class='srclink' href='../../src/nalgebra/linalg/svd.rs.html#56-64' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-Debug' class='impl'><code class='in-band'>impl<N: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../nalgebra/trait.ComplexField.html" title="trait nalgebra::ComplexField">ComplexField</a>, R: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Deb
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</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<N, R, C> !<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="../../nalgebra/linalg/struct.SVD.html" title="struct nalgebra::linalg::SVD">SVD</a><N, R, C></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<N, R, C> !<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="../../nalgebra/linalg/struct.SVD.html" title="struct nalgebra::linalg::SVD">SVD</a><N, R, C></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<N, R, C> !<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="../../nalgebra/linalg/struct.SVD.html" title="struct nalgebra::linalg::SVD">SVD</a><N, R, C></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<N, R, C> !<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="../../nalgebra/linalg/struct.SVD.html" title="struct nalgebra::linalg::SVD">SVD</a><N, R, C></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<N, R, C> !<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="../../nalgebra/linalg/struct.SVD.html" title="struct nalgebra::linalg::SVD">SVD</a><N, R, C></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<T> <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> T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>, </span></code><a href='#impl-ToOwned' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#81-92' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Owned' class="type"><code id='Owned.t'>type <a href='https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#associatedtype.Owned' class="type">Owned</a> = T</code></h4><div class='docblock'><p>The resulting type after obtaining ownership.</p>
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</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>(&self) -> 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>
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</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>(&self, target: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&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>
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</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>
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</div></div><h3 id='impl-Into%3CU%3E' class='impl'><code class='in-band'>impl<T, U> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><U> for T <span class="where fmt-newline">where<br> U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><T>, </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) -> 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>
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</div></div><h3 id='impl-From%3CT%3E' class='impl'><code class='in-band'>impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><T> for T</code><a href='#impl-From%3CT%3E' class='anchor'></a><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/convert.rs.html#553-555' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.from' class="method hidden"><code id='from.v'>fn <a href='https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from' class='fnname'>from</a>(t: T) -> 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>
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</div></div><h3 id='impl-TryFrom%3CU%3E' class='impl'><code class='in-band'>impl<T, U> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><U> for T <span class="where fmt-newline">where<br> U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><T>, </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>
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</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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><T, <T as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><U>>::<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><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>
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</div></div><h3 id='impl-TryInto%3CU%3E' class='impl'><code class='in-band'>impl<T, U> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html" title="trait core::convert::TryInto">TryInto</a><U> for T <span class="where fmt-newline">where<br> U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><T>, </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> = <U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><T>>::<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>
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</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) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><U, <U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><T>>::<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><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>
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</div></div><h3 id='impl-BorrowMut%3CT%3E' class='impl'><code class='in-band'>impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a><T> for T <span class="where fmt-newline">where<br> T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>, </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>(&mut self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&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>
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</div></div><h3 id='impl-Borrow%3CT%3E' class='impl'><code class='in-band'>impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a><T> for T <span class="where fmt-newline">where<br> T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>, </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>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</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>
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</div></div><h3 id='impl-Any' class='impl'><code class='in-band'>impl<T> <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> T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>, </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>(&self) -> <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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</div></div><h3 id='impl-Same%3CT%3E' class='impl'><code class='in-band'>impl<T> <a class="trait" href="../../typenum/type_operators/trait.Same.html" title="trait typenum::type_operators::Same">Same</a><T> for T</code><a href='#impl-Same%3CT%3E' class='anchor'></a><a class='srclink' href='../../src/typenum/type_operators.rs.html#32-34' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Output' class="type"><code id='Output.t'>type <a href='../../typenum/type_operators/trait.Same.html#associatedtype.Output' class="type">Output</a> = T</code></h4><div class='docblock'><p>Should always be <code>Self</code></p>
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</div></div><h3 id='impl-SupersetOf%3CSS%3E' class='impl'><code class='in-band'>impl<SS, SP> <a class="trait" href="../../alga/general/subset/trait.SupersetOf.html" title="trait alga::general::subset::SupersetOf">SupersetOf</a><SS> for SP <span class="where fmt-newline">where<br> SS: <a class="trait" href="../../alga/general/subset/trait.SubsetOf.html" title="trait alga::general::subset::SubsetOf">SubsetOf</a><SP>, </span></code><a href='#impl-SupersetOf%3CSS%3E' class='anchor'></a><a class='srclink' href='../../src/alga/general/subset.rs.html#87-107' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.to_subset' class="method hidden"><code id='to_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#method.to_subset' class='fnname'>to_subset</a>(&self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><SS></code><a class='srclink' href='../../src/alga/general/subset.rs.html#89-91' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inverse inclusion map: attempts to construct <code>self</code> from the equivalent element of its superset. <a href="../../alga/general/subset/trait.SupersetOf.html#method.to_subset">Read more</a></p>
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</div><h4 id='method.is_in_subset' class="method hidden"><code id='is_in_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.is_in_subset' class='fnname'>is_in_subset</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../../src/alga/general/subset.rs.html#94-96' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Checks if <code>self</code> is actually part of its subset <code>T</code> (and can be converted to it).</p>
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</div><h4 id='method.to_subset_unchecked' class="method hidden"><code id='to_subset_unchecked.v'>unsafe fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.to_subset_unchecked' class='fnname'>to_subset_unchecked</a>(&self) -> SS</code><a class='srclink' href='../../src/alga/general/subset.rs.html#99-101' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>Use with care! Same as <code>self.to_subset</code> but without any property checks. Always succeeds.</p>
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</div><h4 id='method.from_subset' class="method hidden"><code id='from_subset.v'>fn <a href='../../alga/general/subset/trait.SupersetOf.html#tymethod.from_subset' class='fnname'>from_subset</a>(element: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&</a>SS) -> SP</code><a class='srclink' href='../../src/alga/general/subset.rs.html#104-106' title='goto source code'>[src]</a></h4><div class='docblock hidden'><p>The inclusion map: converts <code>self</code> to the equivalent element of its superset.</p>
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