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<title>num_traits::identities::One - Rust</title>
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<p class='location'>Trait One</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.one">one</a></div><a class="sidebar-title" href="#provided-methods">Provided Methods</a><div class="sidebar-links"><a href="#method.is_one">is_one</a></div><a class="sidebar-title" href="#foreign-impls">Implementations on Foreign Types</a><div class="sidebar-links"><a href="#impl-One">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: 'One', ty: 'trait', relpath: ''};</script><script defer src="sidebar-items.js"></script></div>
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<section id='main' class="content"><h1 class='fqn'><span class='in-band'>Trait <a href='../index.html'>num_traits</a>::<wbr><a href='index.html'>identities</a>::<wbr><a class="trait" href=''>One</a></span><span class='out-of-band'><span id='render-detail'>
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</span><a class='srclink' href='../../src/num_traits/identities.rs.html#65-92' title='goto source code'>[src]</a></span></h1><div class="docblock type-decl"><pre class='rust trait'>pub trait One: <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.Mul.html" title="trait core::ops::arith::Mul">Mul</a><Self, Output = Self> {
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fn <a href='#tymethod.one' class='fnname'>one</a>() -> Self;
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fn <a href='#method.is_one' class='fnname'>is_one</a>(&self) -> bool<br> <span class="where">where<br> Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a></span>,
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{ ... }
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}</pre></div><div class='docblock'><p>Defines a multiplicative identity element for <code>Self</code>.</p>
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<h2 id='required-methods' class='small-section-header'>
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Required Methods<a href='#required-methods' class='anchor'></a>
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<h3 id='tymethod.one' class='method'><span id='one.v' class='invisible'><code>fn <a href='#tymethod.one' class='fnname'>one</a>() -> Self</code></span></h3><div class='docblock'><p>Returns the multiplicative identity element of <code>Self</code>, <code>1</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 * 1 = a ∀ a ∈ Self
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1 * a = a ∀ a ∈ Self
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</code></pre>
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<p>This function should return the same result at all times regardless of
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Provided Methods<a href='#provided-methods' class='anchor'></a>
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<h3 id='method.is_one' class='method'><span id='is_one.v' class='invisible'><code>fn <a href='#method.is_one' class='fnname'>is_one</a>(&self) -> bool <span class="where fmt-newline">where<br> Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>, </span></code></span></h3><div class='docblock'><p>Returns <code>true</code> if <code>self</code> is equal to the multiplicative identity.</p>
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<p>For performance reasons, it's best to implement this manually.
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After a semver bump, this method will be required, and the
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<code>where Self: PartialEq</code> bound will be removed.</p>
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Implementations on Foreign Types<a href='#foreign-impls' class='anchor'></a>
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<h3 id='impl-One' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl<T: <a class="trait" href="../../num_traits/identities/trait.One.html" title="trait num_traits::identities::One">One</a>> <a class="trait" href="../../num_traits/identities/trait.One.html" title="trait num_traits::identities::One">One</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.Mul.html" title="trait core::ops::arith::Mul">Mul</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-One' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#118-122' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><span class='docblock autohide'><div class='impl-items'><h4 id='method.one' class="method"><span id='one.v-1' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='#method.one' class='fnname'>one</a>() -> Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#119-121' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><h4 id='method.is_one-1' class="method"><span id='is_one.v-1' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='../../num_traits/identities/trait.One.html#method.is_one' class='fnname'>is_one</a>(&self) -> bool <span class="where fmt-newline">where<br> Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>, </span></code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../src/num_traits/identities.rs.html#89-91' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4></div></span>
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<li><table class='table-display'><tbody><tr><td><code>impl One for usize</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for u8</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for u16</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for u32</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for u64</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for isize</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for i8</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for i16</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for i32</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for i64</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for f32</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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<li><table class='table-display'><tbody><tr><td><code>impl One for f64</code><td><div class='out-of-band'><a class='srclink' href='../../src/num_traits/identities.rs.html#96-99' title='goto source code'>[src]</a></div></td></tr></tbody></table></li>
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