|
|
<!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 `AbstractSemigroup` trait in crate `alga`."><meta name="keywords" content="rust, rustlang, rust-lang, AbstractSemigroup"><title>alga::general::AbstractSemigroup - 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='../../alga/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Trait AbstractSemigroup</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#provided-methods">Provided Methods</a><div class="sidebar-links"><a href="#method.prop_is_associative">prop_is_associative</a><a href="#method.prop_is_associative_approx">prop_is_associative_approx</a></div><a class="sidebar-title" href="#foreign-impls">Implementations on Foreign Types</a><div class="sidebar-links"><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-Complex%3CN%3E">Complex<N></a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-f32">f32</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-f64">f64</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-i16">i16</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-i32">i32</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-i64">i64</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-i8">i8</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-isize">isize</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-u16">u16</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-u32">u32</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-u64">u64</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-u8">u8</a><a href="#impl-AbstractSemigroup%3CAdditive%3E-for-usize">usize</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-Complex%3CN%3E">Complex<N></a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-f32">f32</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-f64">f64</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-i16">i16</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-i32">i32</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-i64">i64</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-i8">i8</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-isize">isize</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-u16">u16</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-u32">u32</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-u64">u64</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-u8">u8</a><a href="#impl-AbstractSemigroup%3CMultiplicative%3E-for-usize">usize</a></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='../index.html'>alga</a>::<wbr><a href='index.html'>general</a></p><script>window.sidebarCurrent = {name: 'AbstractSemigroup', 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/alga/general/one_operator.rs.html#125-144' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='../index.html'>alga</a>::<wbr><a href='index.html'>general</a>::<wbr><a class="trait" href=''>AbstractSemigroup</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust trait'>pub trait AbstractSemigroup<O: <a class="trait" href="../../alga/general/trait.Operator.html" title="trait alga::general::Operator">Operator</a>>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> + <a class="trait" href="../../alga/general/trait.AbstractMagma.html" title="trait alga::general::AbstractMagma">AbstractMagma</a><O> {
|
|
|
fn <a href='#method.prop_is_associative_approx' class='fnname'>prop_is_associative_approx</a>(args: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self, Self, Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a><br> <span class="where">where<br> Self: <a class="trait" href="../../approx/relative_eq/trait.RelativeEq.html" title="trait approx::relative_eq::RelativeEq">RelativeEq</a></span>,
|
|
|
{ ... }
|
|
|
<div class='item-spacer'></div> fn <a href='#method.prop_is_associative' class='fnname'>prop_is_associative</a>(args: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self, Self, Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a><br> <span class="where">where<br> Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a></span>,
|
|
|
{ ... }
|
|
|
}</pre></div><div class='docblock'><p>A semigroup is a quasigroup that is <strong>associative</strong>.</p>
|
|
|
<p><em>A semigroup is a set equipped with a closed associative binary operation and that has the divisibility property.</em></p>
|
|
|
<h1 id="associativity" class="section-header"><a href="#associativity">Associativity</a></h1>
|
|
|
<pre><code class="language-notrust">∀ a, b, c ∈ Self, (a ∘ b) ∘ c = a ∘ (b ∘ c)
|
|
|
</code></pre>
|
|
|
</div>
|
|
|
<h2 id='provided-methods' class='small-section-header'>Provided methods<a href='#provided-methods' class='anchor'></a></h2><div class='methods'><h3 id='method.prop_is_associative_approx' class='method'><code id='prop_is_associative_approx.v'>fn <a href='#method.prop_is_associative_approx' class='fnname'>prop_is_associative_approx</a>(args: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self, Self, Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a> <span class="where fmt-newline">where<br> Self: <a class="trait" href="../../approx/relative_eq/trait.RelativeEq.html" title="trait approx::relative_eq::RelativeEq">RelativeEq</a>, </span></code></h3><div class='docblock'><p>Returns <code>true</code> if associativity holds for the given arguments. Approximate equality is used
|
|
|
for verifications.</p>
|
|
|
</div><h3 id='method.prop_is_associative' class='method'><code id='prop_is_associative.v'>fn <a href='#method.prop_is_associative' class='fnname'>prop_is_associative</a>(args: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self, Self, Self<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a> <span class="where fmt-newline">where<br> Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a>, </span></code></h3><div class='docblock'><p>Returns <code>true</code> if associativity holds for the given arguments.</p>
|
|
|
</div></div><span class='loading-content'>Loading content...</span>
|
|
|
<h2 id='foreign-impls' class='small-section-header'>Implementations on Foreign Types<a href='#foreign-impls' class='anchor'></a></h2><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-u8' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-u8' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-u16' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-u16' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-u32' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-u32' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-u64' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-u64' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-usize' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-usize' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#95' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-u8' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-u8' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-u16' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-u16' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-u32' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-u32' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-u64' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-u64' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-usize' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-usize' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#95' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-Complex%3CN%3E' class='impl'><code class='in-band'>impl<N> <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="struct" href="../../num_complex/struct.Complex.html" title="struct num_complex::Complex">Complex</a><N> <span class="where fmt-newline">where<br> N: <a class="trait" href="../../num_traits/trait.Num.html" title="trait num_traits::Num">Num</a> + <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="../../alga/general/trait.ClosedNeg.html" title="trait alga::general::ClosedNeg">ClosedNeg</a>, </span></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-Complex%3CN%3E' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#42-44' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-Complex%3CN%3E' class='impl'><code class='in-band'>impl<N> <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="struct" href="../../num_complex/struct.Complex.html" title="struct num_complex::Complex">Complex</a><N> <span class="where fmt-newline">where<br> N: <a class="trait" href="../../alga/general/trait.AbstractGroupAbelian.html" title="trait alga::general::AbstractGroupAbelian">AbstractGroupAbelian</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>>, </span></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-Complex%3CN%3E' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#42-44' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-i8' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-i8' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-i16' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-i16' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-i32' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-i32' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-i64' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-i64' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-isize' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-isize' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#95' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-i8' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-i8' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-i16' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-i16' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-i32' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-i32' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-i64' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-i64' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-isize' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-isize' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#95' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-f32' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-f32' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CAdditive%3E-for-f64' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Additive.html" title="struct alga::general::Additive">Additive</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code><a href='#impl-AbstractSemigroup%3CAdditive%3E-for-f64' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#95' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-f32' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-f32' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#102' title='goto source code'>[src]</a></h3><div class='impl-items'></div><h3 id='impl-AbstractSemigroup%3CMultiplicative%3E-for-f64' class='impl'><code class='in-band'>impl <a class="trait" href="../../alga/general/trait.AbstractSemigroup.html" title="trait alga::general::AbstractSemigroup">AbstractSemigroup</a><<a class="struct" href="../../alga/general/struct.Multiplicative.html" title="struct alga::general::Multiplicative">Multiplicative</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code><a href='#impl-AbstractSemigroup%3CMultiplicative%3E-for-f64' class='anchor'></a><a class='srclink' href='../../src/alga/macros.rs.html#95' title='goto source code'>[src]</a></h3><div class='impl-items'></div><span class='loading-content'>Loading content...</span>
|
|
|
<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-AbstractSemigroup%3CO%3E' class='impl'><code class='in-band'>impl<O: <a class="trait" href="../../alga/general/trait.Operator.html" title="trait alga::general::Operator">Operator</a>> AbstractSemigroup<O> for <a class="struct" href="../../alga/general/struct.Id.html" title="struct alga::general::Id">Id</a><O></code><a href='#impl-AbstractSemigroup%3CO%3E' class='anchor'></a><a class='srclink' href='../../src/alga/general/identity.rs.html#223' title='goto source code'>[src]</a></h3><div class='impl-items'></div></div><span class='loading-content'>Loading content...</span><script type="text/javascript">window.inlined_types=new Set([]);</script><script type="text/javascript" async
|
|
|
src="../../implementors/alga/general/trait.AbstractSemigroup.js">
|
|
|
</script></section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help dialog</dd><dt><kbd>S</kbd></dt><dd>Focus the search field</dd><dt><kbd>↑</kbd></dt><dd>Move up in search results</dd><dt><kbd>↓</kbd></dt><dd>Move down in search results</dd><dt><kbd>↹</kbd></dt><dd>Switch tab</dd><dt><kbd>⏎</kbd></dt><dd>Go to active search result</dd><dt><kbd>+</kbd></dt><dd>Expand all sections</dd><dt><kbd>-</kbd></dt><dd>Collapse all sections</dd></dl></div><div class="infos"><h2>Search Tricks</h2><p>Prefix searches with a type followed by a colon (e.g., <code>fn:</code>) to restrict the search to a given type.</p><p>Accepted types are: <code>fn</code>, <code>mod</code>, <code>struct</code>, <code>enum</code>, <code>trait</code>, <code>type</code>, <code>macro</code>, and <code>const</code>.</p><p>Search functions by type signature (e.g., <code>vec -> usize</code> or <code>* -> vec</code>)</p><p>Search multiple things at once by splitting your query with comma (e.g., <code>str,u8</code> or <code>String,struct:Vec,test</code>)</p></div></div></aside><script>window.rootPath = "../../";window.currentCrate = "alga";</script><script src="../../aliases.js"></script><script src="../../main.js"></script><script defer src="../../search-index.js"></script></body></html> |
