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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 `num_traits`."><meta name="keywords" content="rust, rustlang, rust-lang, Zero"><title>num_traits::identities::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='../../num_traits/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></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='../index.html'>num_traits</a>::<wbr><a href='index.html'>identities</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"><div class="search-container"><div><select id="crate-search"><option value="All crates">All crates</option></select><input class="search-input" name="search" disabled 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#12-29' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='../index.html'>num_traits</a>::<wbr><a href='index.html'>identities</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/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a> + <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) -> bool;
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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) -> bool</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-Wrapping%3CT%3E' class='impl'><code class='in-band'>impl<T: <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::Zero">Zero</a>> <a class="trait" href="../../num_traits/identities/trait.Zero.html" title="trait num_traits::identities::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> <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><Output = <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#65-80' title='goto source code'>[src]</a></h3><div class='impl-items'><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) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#69-71' 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#73-75' title='goto source code'>[src]</a></h4><h4 id='method.zero' class="method hidden"><code id='zero.v-1'>fn <a href='#method.zero' class='fnname'>zero</a>() -> Self</code><a class='srclink' href='../../src/num_traits/identities.rs.html#77-79' title='goto source code'>[src]</a></h4></div><span class='loading-content'>Loading content...</span>
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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 Zero for f32</code><a href='#impl-Zero' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-1' class="method hidden"><code id='zero.v-2'>fn <a href='#method.zero-1' class='fnname'>zero</a>() -> f32</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-1' class="method hidden"><code id='is_zero.v-2'>fn <a href='#method.is_zero-1' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-1' class='impl'><code class='in-band'>impl Zero for f64</code><a href='#impl-Zero-1' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-2' class="method hidden"><code id='zero.v-3'>fn <a href='#method.zero-2' class='fnname'>zero</a>() -> f64</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-2' class="method hidden"><code id='is_zero.v-3'>fn <a href='#method.is_zero-2' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-2' class='impl'><code class='in-band'>impl Zero for i8</code><a href='#impl-Zero-2' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-3' class="method hidden"><code id='zero.v-4'>fn <a href='#method.zero-3' class='fnname'>zero</a>() -> i8</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-3' class="method hidden"><code id='is_zero.v-4'>fn <a href='#method.is_zero-3' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-3' class='impl'><code class='in-band'>impl Zero for i16</code><a href='#impl-Zero-3' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-4' class="method hidden"><code id='zero.v-5'>fn <a href='#method.zero-4' class='fnname'>zero</a>() -> i16</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-4' class="method hidden"><code id='is_zero.v-5'>fn <a href='#method.is_zero-4' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-4' class='impl'><code class='in-band'>impl Zero for i32</code><a href='#impl-Zero-4' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-5' class="method hidden"><code id='zero.v-6'>fn <a href='#method.zero-5' class='fnname'>zero</a>() -> i32</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-5' class="method hidden"><code id='is_zero.v-6'>fn <a href='#method.is_zero-5' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-5' class='impl'><code class='in-band'>impl Zero for i64</code><a href='#impl-Zero-5' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-6' class="method hidden"><code id='zero.v-7'>fn <a href='#method.zero-6' class='fnname'>zero</a>() -> i64</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-6' class="method hidden"><code id='is_zero.v-7'>fn <a href='#method.is_zero-6' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-6' class='impl'><code class='in-band'>impl Zero for i128</code><a href='#impl-Zero-6' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-7' class="method hidden"><code id='zero.v-8'>fn <a href='#method.zero-7' class='fnname'>zero</a>() -> i128</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-7' class="method hidden"><code id='is_zero.v-8'>fn <a href='#method.is_zero-7' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-7' class='impl'><code class='in-band'>impl Zero for isize</code><a href='#impl-Zero-7' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-8' class="method hidden"><code id='zero.v-9'>fn <a href='#method.zero-8' class='fnname'>zero</a>() -> isize</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-8' class="method hidden"><code id='is_zero.v-9'>fn <a href='#method.is_zero-8' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-8' class='impl'><code class='in-band'>impl Zero for u8</code><a href='#impl-Zero-8' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-9' class="method hidden"><code id='zero.v-10'>fn <a href='#method.zero-9' class='fnname'>zero</a>() -> u8</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-9' class="method hidden"><code id='is_zero.v-10'>fn <a href='#method.is_zero-9' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-9' class='impl'><code class='in-band'>impl Zero for u16</code><a href='#impl-Zero-9' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-10' class="method hidden"><code id='zero.v-11'>fn <a href='#method.zero-10' class='fnname'>zero</a>() -> u16</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-10' class="method hidden"><code id='is_zero.v-11'>fn <a href='#method.is_zero-10' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-10' class='impl'><code class='in-band'>impl Zero for u32</code><a href='#impl-Zero-10' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-11' class="method hidden"><code id='zero.v-12'>fn <a href='#method.zero-11' class='fnname'>zero</a>() -> u32</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-11' class="method hidden"><code id='is_zero.v-12'>fn <a href='#method.is_zero-11' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-11' class='impl'><code class='in-band'>impl Zero for u64</code><a href='#impl-Zero-11' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-12' class="method hidden"><code id='zero.v-13'>fn <a href='#method.zero-12' class='fnname'>zero</a>() -> u64</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-12' class="method hidden"><code id='is_zero.v-13'>fn <a href='#method.is_zero-12' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-12' class='impl'><code class='in-band'>impl Zero for u128</code><a href='#impl-Zero-12' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-13' class="method hidden"><code id='zero.v-14'>fn <a href='#method.zero-13' class='fnname'>zero</a>() -> u128</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-13' class="method hidden"><code id='is_zero.v-14'>fn <a href='#method.is_zero-13' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div><h3 id='impl-Zero-13' class='impl'><code class='in-band'>impl Zero for usize</code><a href='#impl-Zero-13' class='anchor'></a><a class='srclink' href='../../src/num_traits/identities.rs.html#33-42' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='method.zero-14' class="method hidden"><code id='zero.v-15'>fn <a href='#method.zero-14' class='fnname'>zero</a>() -> usize</code><a class='srclink' href='../../src/num_traits/identities.rs.html#35-37' title='goto source code'>[src]</a></h4><h4 id='method.is_zero-14' class="method hidden"><code id='is_zero.v-15'>fn <a href='#method.is_zero-14' class='fnname'>is_zero</a>(&self) -> bool</code><a class='srclink' href='../../src/num_traits/identities.rs.html#39-41' title='goto source code'>[src]</a></h4></div></div><span class='loading-content'>Loading content...</span><script type="text/javascript" src="../../implementors/num_traits/identities/trait.Zero.js" async></script></section><section id="search" class="content hidden"></section><section class="footer"></section><script>window.rootPath = "../../";window.currentCrate = "num_traits";</script><script src="../../aliases.js"></script><script src="../../main.js"></script><script defer src="../../search-index.js"></script></body></html> |