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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 `Zero` trait in crate `cgmath`."><meta name="keywords" content="rust, rustlang, rust-lang, Zero"><title>cgmath::Zero - Rust</title><link rel="stylesheet" type="text/css" href="../normalize.css"><link rel="stylesheet" type="text/css" href="../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../dark.css"><link rel="stylesheet" type="text/css" href="../light.css" id="themeStyle"><script src="../storage.js"></script><noscript><link rel="stylesheet" href="../noscript.css"></noscript><link rel="shortcut icon" href="../favicon.ico"><style type="text/css">#crate-search{background-image:url("../down-arrow.svg");}</style></head><body class="rustdoc trait"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><div class="sidebar-menu">☰</div><a href='../cgmath/index.html'><div class='logo-container'><img src='../rust-logo.png' alt='logo'></div></a><p class='location'>Trait Zero</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#required-methods">Required Methods</a><div class="sidebar-links"><a href="#tymethod.is_zero">is_zero</a><a href="#tymethod.zero">zero</a></div><a class="sidebar-title" href="#provided-methods">Provided Methods</a><div class="sidebar-links"><a href="#method.set_zero">set_zero</a></div><a class="sidebar-title" href="#foreign-impls">Implementations on Foreign Types</a><div class="sidebar-links"><a href="#impl-Zero-for-Wrapping%3CT%3E">Wrapping<T></a><a href="#impl-Zero-for-f32">f32</a><a href="#impl-Zero-for-f64">f64</a><a href="#impl-Zero-for-i128">i128</a><a href="#impl-Zero-for-i16">i16</a><a href="#impl-Zero-for-i32">i32</a><a href="#impl-Zero-for-i64">i64</a><a href="#impl-Zero-for-i8">i8</a><a href="#impl-Zero-for-isize">isize</a><a href="#impl-Zero-for-u128">u128</a><a href="#impl-Zero-for-u16">u16</a><a href="#impl-Zero-for-u32">u32</a><a href="#impl-Zero-for-u64">u64</a><a href="#impl-Zero-for-u8">u8</a><a href="#impl-Zero-for-usize">usize</a></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='index.html'>cgmath</a></p><script>window.sidebarCurrent = {name: 'Zero', ty: 'trait', relpath: ''};</script><script defer src="sidebar-items.js"></script></div></nav><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!"><img src="../brush.svg" width="18" alt="Pick another theme!"></button><div id="theme-choices"></div></div><script src="../theme.js"></script><nav class="sub"><form class="search-form js-only"><div class="search-container"><div><select id="crate-search"><option value="All crates">All crates</option></select><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"></div><a id="settings-menu" href="../settings.html"><img src="../wheel.svg" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><h1 class='fqn'><span class='out-of-band'><span id='render-detail'><a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class='inner'>−</span>]</a></span><a class='srclink' href='../src/num_traits/identities.rs.html#12-30' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='index.html'>cgmath</a>::<wbr><a class="trait" href=''>Zero</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust trait'>pub trait Zero: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a><Self, Output = Self> {
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fn <a href='#tymethod.zero' class='fnname'>zero</a>() -> Self;
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<div class='item-spacer'></div> fn <a href='#tymethod.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>;
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fn <a href='#method.set_zero' class='fnname'>set_zero</a>(&mut self) { ... }
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}</pre></div><div class='docblock'><p>Defines an additive identity element for <code>Self</code>.</p>
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<h1 id="laws" class="section-header"><a href="#laws">Laws</a></h1>
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<pre><code class="language-{.text}">a + 0 = a ∀ a ∈ Self
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0 + a = a ∀ a ∈ Self
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</code></pre>
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</div>
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<h2 id='required-methods' class='small-section-header'>Required methods<a href='#required-methods' class='anchor'></a></h2><div class='methods'><h3 id='tymethod.zero' class='method'><code id='zero.v'>fn <a href='#tymethod.zero' class='fnname'>zero</a>() -> Self</code></h3><div class='docblock'><p>Returns the additive identity element of <code>Self</code>, <code>0</code>.</p>
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<h1 id="purity" class="section-header"><a href="#purity">Purity</a></h1>
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<p>This function should return the same result at all times regardless of
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external mutable state, for example values stored in TLS or in
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<code>static mut</code>s.</p>
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</div><h3 id='tymethod.is_zero' class='method'><code id='is_zero.v'>fn <a href='#tymethod.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code></h3><div class='docblock'><p>Returns <code>true</code> if <code>self</code> is equal to the additive identity.</p>
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</div></div><span class='loading-content'>Loading content...</span>
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<h2 id='provided-methods' class='small-section-header'>Provided methods<a href='#provided-methods' class='anchor'></a></h2><div class='methods'><h3 id='method.set_zero' class='method'><code id='set_zero.v'>fn <a href='#method.set_zero' class='fnname'>set_zero</a>(&mut self)</code></h3><div class='docblock'><p>Sets <code>self</code> to the additive identity element of <code>Self</code>, <code>0</code>.</p>
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</div></div><span class='loading-content'>Loading content...</span>
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<h2 id='foreign-impls' class='small-section-header'>Implementations on Foreign Types<a href='#foreign-impls' class='anchor'></a></h2><h3 id='impl-Zero-for-i128' class='impl'><code class='in-band'>impl <a class="trait" href="../cgmath/prelude/trait.Zero.html" title="trait cgmath::prelude::Zero">Zero</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a></code><a href='#impl-Zero-for-i128' class='anchor'></a><a class='srclink' href='../src/num_traits/identities.rs.html#34-43' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero' class="method hidden"><code id='zero.v-1'>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a></code><a class='srclink' href='../src/num_traits/identities.rs.html#36-38' title='goto source code'>[src]</a></h4><h4 id='method.is_zero' class="method hidden"><code id='is_zero.v-1'>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/num_traits/identities.rs.html#40-42' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-for-Wrapping%3CT%3E' class='impl'><code class='in-band'>impl<T> <a class="trait" href="../cgmath/prelude/trait.Zero.html" title="trait cgmath::prelude::Zero">Zero</a> for <a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T> <span class="where fmt-newline">where<br> T: <a class="trait" href="../cgmath/prelude/trait.Zero.html" title="trait cgmath::prelude::Zero">Zero</a>,<br> <a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a><<a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T>>,<br> <<a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T> as <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a><<a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T>>>::<a class="type" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" title="type core::ops::arith::Add::Output">Output</a> == <a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct core::num::Wrapping">Wrapping</a><T>, </span></code><a href='#impl-Zero-for-Wrapping%3CT%3E' class='anchor'></a><a class='srclink' href='../src/num_traits/identities.rs.html#66-81' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.is_zero-1' class="method hidden"><code id='is_zero.v-2'>fn <a href='#method.is_zero' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/num_traits/identities.rs.html#70-72' title='goto source code'>[src]</a></h4><h4 id='method.set_zero-1' class="method hidden"><code id='set_zero.v-1'>fn <a href='#method.set_zero' class='fnname'>set_zero</a>(&mut self)</code><a class='srclink' href='../src/num_traits/identities.rs.html#74-76' title='goto source code'>[src]</a></h4><h4 id='method.zero-1' class="method hidden"><code id='zero.v-2'>fn <a href='#method.zero' class='fnname'>zero</a>() -> <a class="struct" href="https://doc.rust-lang.org/nightly/core/num/struct.Wrapping.html" title="struct
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<h2 id='implementors' class='small-section-header'>Implementors<a href='#implementors' class='anchor'></a></h2><div class='item-list' id='implementors-list'><h3 id='impl-Zero' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> Zero for <a class="struct" href="../cgmath/struct.Deg.html" title="struct cgmath::Deg">Deg</a><S></code><a href='#impl-Zero' class='anchor'></a><a class='srclink' href='../src/cgmath/angle.rs.html#71-81' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-15' class="method hidden"><code id='zero.v-16'>fn <a href='#method.zero-15' class='fnname'>zero</a>() -> <a class="struct" href="../cgmath/struct.Deg.html" title="struct cgmath::Deg">Deg</a><S></code><a class='srclink' href='../src/cgmath/angle.rs.html#73-75' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-15' class="method hidden"><code id='is_zero.v-16'>fn <a href='#method.is_zero-15' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/cgmath/angle.rs.html#78-80' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-1' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> Zero for <a class="struct" href="../cgmath/struct.Matrix2.html" title="struct cgmath::Matrix2">Matrix2</a><S></code><a href='#impl-Zero-1' class='anchor'></a><a class='srclink' href='../src/cgmath/matrix.rs.html#384-398' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-16' class="method hidden"><code id='zero.v-17'>fn <a href='#method.zero-16' class='fnname'>zero</a>() -> <a class="struct" href="../cgmath/struct.Matrix2.html" title="struct cgmath::Matrix2">Matrix2</a><S></code><a class='srclink' href='../src/cgmath/matrix.rs.html#386-392' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-16' class="method hidden"><code id='is_zero.v-17'>fn <a href='#method.is_zero-16' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/cgmath/matrix.rs.html#395-397' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-2' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> Zero for <a class="struct" href="../cgmath/struct.Matrix3.html" title="struct cgmath::Matrix3">Matrix3</a><S></code><a href='#impl-Zero-2' class='anchor'></a><a class='srclink' href='../src/cgmath/matrix.rs.html#400-415' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-17' class="method hidden"><code id='zero.v-18'>fn <a href='#method.zero-17' class='fnname'>zero</a>() -> <a class="struct" href="../cgmath/struct.Matrix3.html" title="struct cgmath::Matrix3">Matrix3</a><S></code><a class='srclink' href='../src/cgmath/matrix.rs.html#402-409' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-17' class="method hidden"><code id='is_zero.v-18'>fn <a href='#method.is_zero-17' class='fnname'>is_zero</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></code><a class='srclink' href='../src/cgmath/matrix.rs.html#412-414' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-3' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> Zero for <a class="struct" href="../cgmath/struct.Matrix4.html" title="struct cgmath::Matrix4">Matrix4</a><S></code><a href='#impl-Zero-3' class='anchor'></a><a class='srclink' href='../src/cgmath/matrix.rs.html#417-433' title='goto source code'>[src]</a></h3><div class='impl
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