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<p class='location'>Trait Mul</p><div class="block items"><ul><li><a href="#associated-types">Associated Types</a></li><li><a href="#required-methods">Required Methods</a></li><li><a href="#implementors">Implementors</a></li></ul></div><p class='location'><a href='../index.html'>std</a>::<wbr><a href='index.html'>ops</a></p><script>window.sidebarCurrent = {name: 'Mul', ty: 'trait', relpath: ''};</script><script defer src="sidebar-items.js"></script>
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<h1 class='fqn'><span class='in-band'>Trait <a href='../index.html'>std</a>::<wbr><a href='index.html'>ops</a>::<wbr><a class="trait" href=''>Mul</a></span><span class='out-of-band'><span class='since' title='Stable since Rust version 1.0.0'>1.0.0</span><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/core/ops.rs.html#523-531' title='goto source code'>[src]</a></span></h1>
<pre class='rust trait'><div class="docblock attributes">#[lang = "mul"]
</div>pub trait Mul<RHS = Self> {
type <a href='#associatedtype.Output' class="type">Output</a>;
fn <a href='#tymethod.mul' class='fnname'>mul</a>(self, rhs: RHS) -> Self::<a class="trait" href="../../std/ops/trait.Mul.html" title="trait std::ops::Mul">Output</a>;
}</pre><div class='docblock'><p>The multiplication operator <code>*</code>.</p>
<h1 id='examples' class='section-header'><a href='#examples'>Examples</a></h1>
<p>Implementing a <code>Mul</code>tipliable rational number struct:</p>
<pre class="rust rust-example-rendered">
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ops</span>::<span class="ident">Mul</span>;
<span class="comment">// The uniqueness of rational numbers in lowest terms is a consequence of</span>
<span class="comment">// the fundamental theorem of arithmetic.</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Eq</span>)]</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">PartialEq</span>, <span class="ident">Debug</span>)]</span>
<span class="kw">struct</span> <span class="ident">Rational</span> {
<span class="ident">nominator</span>: <span class="ident">usize</span>,
<span class="ident">denominator</span>: <span class="ident">usize</span>,
}
<span class="kw">impl</span> <span class="ident">Rational</span> {
<span class="kw">fn</span> <span class="ident">new</span>(<span class="ident">nominator</span>: <span class="ident">usize</span>, <span class="ident">denominator</span>: <span class="ident">usize</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="kw">if</span> <span class="ident">denominator</span> <span class="op">==</span> <span class="number">0</span> {
<span class="macro">panic</span><span class="macro">!</span>(<span class="string">"Zero is an invalid denominator!"</span>);
}
<span class="comment">// Reduce to lowest terms by dividing by the greatest common</span>
<span class="comment">// divisor.</span>
<span class="kw">let</span> <span class="ident">gcd</span> <span class="op">=</span> <span class="ident">gcd</span>(<span class="ident">nominator</span>, <span class="ident">denominator</span>);
<span class="ident">Rational</span> {
<span class="ident">nominator</span>: <span class="ident">nominator</span> <span class="op">/</span> <span class="ident">gcd</span>,
<span class="ident">denominator</span>: <span class="ident">denominator</span> <span class="op">/</span> <span class="ident">gcd</span>,
}
}
}
<span class="kw">impl</span> <span class="ident">Mul</span> <span class="kw">for</span> <span class="ident">Rational</span> {
<span class="comment">// The multiplication of rational numbers is a closed operation.</span>
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="self">Self</span>;
<span class="kw">fn</span> <span class="ident">mul</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="kw">let</span> <span class="ident">nominator</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">nominator</span> <span class="op">*</span> <span class="ident">rhs</span>.<span class="ident">nominator</span>;
<span class="kw">let</span> <span class="ident">denominator</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">denominator</span> <span class="op">*</span> <span class="ident">rhs</span>.<span class="ident">denominator</span>;
<span class="ident">Rational</span>::<span class="ident">new</span>(<span class="ident">nominator</span>, <span class="ident">denominator</span>)
}
}
<span class="comment">// Euclid's two-thousand-year-old algorithm for finding the greatest common</span>
<span class="comment">// divisor.</span>
<span class="kw">fn</span> <span class="ident">gcd</span>(<span class="ident">x</span>: <span class="ident">usize</span>, <span class="ident">y</span>: <span class="ident">usize</span>) <span class="op">-></span> <span class="ident">usize</span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">x</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">y</span> <span class="op">=</span> <span class="ident">y</span>;
<span class="kw">while</span> <span class="ident">y</span> <span class="op">!=</span> <span class="number">0</span> {
<span class="kw">let</span> <span class="ident">t</span> <span class="op">=</span> <span class="ident">y</span>;
<span class="ident">y</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">%</span> <span class="ident">y</span>;
<span class="ident">x</span> <span class="op">=</span> <span class="ident">t</span>;
}
<span class="ident">x</span>
}
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Rational</span>::<span class="ident">new</span>(<span class="number">1</span>, <span class="number">2</span>), <span class="ident">Rational</span>::<span class="ident">new</span>(<span class="number">2</span>, <span class="number">4</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Rational</span>::<span class="ident">new</span>(<span class="number">2</span>, <span class="number">3</span>) <span class="op">*</span> <span class="ident">Rational</span>::<span class="ident">new</span>(<span class="number">3</span>, <span class="number">4</span>),
<span class="ident">Rational</span>::<span class="ident">new</span>(<span class="number">1</span>, <span class="number">2</span>));<a class="test-arrow" target="_blank" href="https://play.rust-lang.org/?code=fn%20main()%20%7B%0Ause%20std%3A%3Aops%3A%3AMul%3B%0A%0A%2F%2F%20The%20uniqueness%20of%20rational%20numbers%20in%20lowest%20terms%20is%20a%20consequence%20of%0A%2F%2F%20the%20fundamental%20theorem%20of%20arithmetic.%0A%23%5Bderive(Eq)%5D%0A%23%5Bderive(PartialEq%2C%20Debug)%5D%0Astruct%20Rational%20%7B%0A%20%20%20%20nominator%3A%20usize%2C%0A%20%20%20%20denominator%3A%20usize%2C%0A%7D%0A%0Aimpl%20Rational%20%7B%0A%20%20%20%20fn%20new(nominator%3A%20usize%2C%20denominator%3A%20usize)%20-%3E%20Self%20%7B%0A%20%20%20%20%20%20%20%20if%20denominator%20%3D%3D%200%20%7B%0A%20%20%20%20%20%20%20%20%20%20%20%20panic!(%22Zero%20is%20an%20invalid%20denominator!%22)%3B%0A%20%20%20%20%20%20%20%20%7D%0A%0A%20%20%20%20%20%20%20%20%2F%2F%20Reduce%20to%20lowest%20terms%20by%20dividing%20by%20the%20greatest%20common%0A%20%20%20%20%20%20%20%20%2F%2F%20divisor.%0A%20%20%20%20%20%20%20%20let%20gcd%20%3D%20gcd(nominator%2C%20denominator)%3B%0A%20%20%20%20%20%20%20%20Rational%20%7B%0A%20%20%20%20%20%20%20%20%20%20%20%20nominator%3A%20nominator%20%2F%20gcd%2C%0A%20%20%20%20%20%20%20%20%20%20%20%20denominator%3A%20denominator%20%2F%20gcd%2C%0A%20%20%20%20%20%20%20%20%7D%0A%20%20%20%20%7D%0A%7D%0A%0Aimpl%20Mul%20for%20Rational%20%7B%0A%20%20%20%20%2F%2F%20The%20multiplication%20of%20rational%20numbers%20is%20a%20closed%20operation.%0A%20%20%20%20type%20Output%20%3D%20Self%3B%0A%0A%20%20%20%20fn%20mul(self%2C%20rhs%3A%20Self)%20-%3E%20Self%20%7B%0A%20%20%20%20%20%20%20%20let%20nominator%20%3D%20self.nominator%20*%20rhs.nominator%3B%0A%20%20%20%20%20%20%20%20let%20denominator%20%3D%20self.denominator%20*%20rhs.denominator%3B%0A%20%20%20%20%20%20%20%20Rational%3A%3Anew(nominator%2C%20denominator)%0A%20%20%20%20%7D%0A%7D%0A%0A%2F%2F%20Euclid's%20two-thousand-year-old%20algorithm%20for%20finding%20the%20greatest%20common%0A%2F%2F%20divisor.%0Afn%20gcd(x%3A%20usize%2C%20y%3A%20usize)%20-%3E%20usize%20%7B%0A%20%20%20%20let%20mut%20x%20%3D%20x%3B%0A%20%20%20%20let%20mut%20y%20%3D%20y%3B%0A%20%20%20%20while%20y%20!%3D%200%20%7B%0A%20%20%20%20%20%20%20%20let%20t%20%3D%20y%3B%0A%20%20%20%20%20%20%20%20y%20%3D%20x%20%25%20y%3B%0A%20%20%20%20%20%20%20%20x%20%3D%20t%3B%0A%20%20%20%20%7D%0A%20%20%20%20x%0A%7D%0A%0Aassert_eq!(Rational%3A%3Anew(1%2C%202)%2C%20Rational%3A%3Anew(2%2C%204))%3B%0Aassert_eq!(Rational%3A%3Anew(2%2C%203)%20*%20Rational%3A%3Anew(3%2C%204)%2C%0A%20%20%20%20%20%20%20%20%20%20%20Rational%3A%3Anew(1%2C%202))%3B%0A%7D">Run</a></pre>
<p>Note that <code>RHS = Self</code> by default, but this is not mandatory. Here is an
implementation which enables multiplication of vectors by scalars, as is
done in linear algebra.</p>
<pre class="rust rust-example-rendered">
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ops</span>::<span class="ident">Mul</span>;
<span class="kw">struct</span> <span class="ident">Scalar</span> {<span class="ident">value</span>: <span class="ident">usize</span>};
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Debug</span>)]</span>
<span class="kw">struct</span> <span class="ident">Vector</span> {<span class="ident">value</span>: <span class="ident">Vec</span><span class="op"><</span><span class="ident">usize</span><span class="op">></span>};
<span class="kw">impl</span> <span class="ident">Mul</span><span class="op"><</span><span class="ident">Vector</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Scalar</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Vector</span>;
<span class="kw">fn</span> <span class="ident">mul</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">Vector</span>) <span class="op">-></span> <span class="ident">Vector</span> {
<span class="ident">Vector</span> {<span class="ident">value</span>: <span class="ident">rhs</span>.<span class="ident">value</span>.<span class="ident">iter</span>().<span class="ident">map</span>(<span class="op">|</span><span class="ident">v</span><span class="op">|</span> <span class="self">self</span>.<span class="ident">value</span> <span class="op">*</span> <span class="ident">v</span>).<span class="ident">collect</span>()}
}
}
<span class="kw">impl</span> <span class="ident">PartialEq</span><span class="op"><</span><span class="ident">Vector</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Vector</span> {
<span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">value</span> <span class="op">==</span> <span class="ident">other</span>.<span class="ident">value</span>
}
}
<span class="kw">let</span> <span class="ident">scalar</span> <span class="op">=</span> <span class="ident">Scalar</span>{<span class="ident">value</span>: <span class="number">3</span>};
<span class="kw">let</span> <span class="ident">vector</span> <span class="op">=</span> <span class="ident">Vector</span>{<span class="ident">value</span>: <span class="macro">vec</span><span class="macro">!</span>[<span class="number">2</span>, <span class="number">4</span>, <span class="number">6</span>]};
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">scalar</span> <span class="op">*</span> <span class="ident">vector</span>, <span class="ident">Vector</span>{<span class="ident">value</span>: <span class="macro">vec</span><span class="macro">!</span>[<span class="number">6</span>, <span class="number">12</span>, <span class="number">18</span>]});<a class="test-arrow" target="_blank" href="https://play.rust-lang.org/?code=fn%20main()%20%7B%0Ause%20std%3A%3Aops%3A%3AMul%3B%0A%0Astruct%20Scalar%20%7Bvalue%3A%20usize%7D%3B%0A%0A%23%5Bderive(Debug)%5D%0Astruct%20Vector%20%7Bvalue%3A%20Vec%3Cusize%3E%7D%3B%0A%0Aimpl%20Mul%3CVector%3E%20for%20Scalar%20%7B%0A%20%20%20%20type%20Output%20%3D%20Vector%3B%0A%0A%20%20%20%20fn%20mul(self%2C%20rhs%3A%20Vector)%20-%3E%20Vector%20%7B%0A%20%20%20%20%20%20%20%20Vector%20%7Bvalue%3A%20rhs.value.iter().map(%7Cv%7C%20self.value%20*%20v).collect()%7D%0A%20%20%20%20%7D%0A%7D%0A%0Aimpl%20PartialEq%3CVector%3E%20for%20Vector%20%7B%0A%20%20%20%20fn%20eq(%26self%2C%20other%3A%20%26Self)%20-%3E%20bool%20%7B%0A%20%20%20%20%20%20%20%20self.value%20%3D%3D%20other.value%0A%20%20%20%20%7D%0A%7D%0A%0Alet%20scalar%20%3D%20Scalar%7Bvalue%3A%203%7D%3B%0Alet%20vector%20%3D%20Vector%7Bvalue%3A%20vec!%5B2%2C%204%2C%206%5D%7D%3B%0Aassert_eq!(scalar%20*%20vector%2C%20Vector%7Bvalue%3A%20vec!%5B6%2C%2012%2C%2018%5D%7D)%3B%0A%7D">Run</a></pre>
</div>
<h2 id='associated-types'>Associated Types</h2>
<div class='methods'>
<h3 id='associatedtype.Output' class='method'><span id='Output.t' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a></code></span></h3><div class='docblock'><p>The resulting type after applying the <code>*</code> operator</p>
</div></div>
<h2 id='required-methods'>Required Methods</h2>
<div class='methods'>
<h3 id='tymethod.mul' class='method'><span id='mul.v' class='invisible'><code>fn <a href='#tymethod.mul' class='fnname'>mul</a>(self, rhs: RHS) -> Self::<a class="trait" href="../../std/ops/trait.Mul.html" title="trait std::ops::Mul">Output</a></code></span></h3><div class='docblock'><p>The method for the <code>*</code> operator</p>
</div></div>
<h2 id='implementors'>Implementors</h2>
<ul class='item-list' id='implementors-list'>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.u16.html">u16</a>> for &'b <a class="primitive" href="../primitive.u16.html">u16</a></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.i8.html">i8</a>> for &'a <a class="primitive" href="../primitive.i8.html">i8</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.u16.html">u16</a>> for <a class="primitive" href="../primitive.u16.html">u16</a></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u128.html">u128</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u128.html">u128</a>></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u8.html">u8</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u8.html">u8</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.isize.html">isize</a>> for <a class="primitive" href="../primitive.isize.html">isize</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.f64.html">f64</a>> for <a class="primitive" href="../primitive.f64.html">f64</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i32.html">i32</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i32.html">i32</a>></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.u32.html">u32</a>> for <a class="primitive" href="../primitive.u32.html">u32</a></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.i16.html">i16</a>> for &'a <a class="primitive" href="../primitive.i16.html">i16</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i16.html">i16</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i16.html">i16</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.i64.html">i64</a>> for <a class="primitive" href="../primitive.i64.html">i64</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u128.html">u128</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u128.html">u128</a>></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u32.html">u32</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u32.html">u32</a>></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i64.html">i64</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i64.html">i64</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u8.html">u8</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u8.html">u8</a>></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u32.html">u32</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u32.html">u32</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.i16.html">i16</a>> for <a class="primitive" href="../primitive.i16.html">i16</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.u32.html">u32</a>> for &'b <a class="primitive" href="../primitive.u32.html">u32</a></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.usize.html">usize</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.usize.html">usize</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.usize.html">usize</a>> for <a class="primitive" href="../primitive.usize.html">usize</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.i32.html">i32</a>> for &'b <a class="primitive" href="../primitive.i32.html">i32</a></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i32.html">i32</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i32.html">i32</a>></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.usize.html">usize</a>> for &'b <a class="primitive" href="../primitive.usize.html">usize</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.f32.html">f32</a>> for &'b <a class="primitive" href="../primitive.f32.html">f32</a></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.u128.html">u128</a>> for &'a <a class="primitive" href="../primitive.u128.html">u128</a></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i16.html">i16</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i16.html">i16</a>></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u64.html">u64</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u64.html">u64</a>></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i128.html">i128</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i128.html">i128</a>></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i16.html">i16</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i16.html">i16</a>></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.i16.html">i16</a>> for &'b <a class="primitive" href="../primitive.i16.html">i16</a></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.i32.html">i32</a>> for &'a <a class="primitive" href="../primitive.i32.html">i32</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u16.html">u16</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u16.html">u16</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i64.html">i64</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i64.html">i64</a>></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i128.html">i128</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i128.html">i128</a>></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.i64.html">i64</a>> for &'a <a class="primitive" href="../primitive.i64.html">i64</a></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.u64.html">u64</a>> for <a class="primitive" href="../primitive.u64.html">u64</a></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.u128.html">u128</a>> for <a class="primitive" href="../primitive.u128.html">u128</a></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.u8.html">u8</a>> for &'a <a class="primitive" href="../primitive.u8.html">u8</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.i128.html">i128</a>> for <a class="primitive" href="../primitive.i128.html">i128</a></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.i128.html">i128</a>> for &'a <a class="primitive" href="../primitive.i128.html">i128</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u32.html">u32</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u32.html">u32</a>></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.i128.html">i128</a>> for <a class="primitive" href="../primitive.i128.html">i128</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.u64.html">u64</a>> for &'b <a class="primitive" href="../primitive.u64.html">u64</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.i32.html">i32</a>> for <a class="primitive" href="../primitive.i32.html">i32</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.f32.html">f32</a>> for <a class="primitive" href="../primitive.f32.html">f32</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.i128.html">i128</a>> for &'b <a class="primitive" href="../primitive.i128.html">i128</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.isize.html">isize</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.isize.html">isize</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.u64.html">u64</a>> for <a class="primitive" href="../primitive.u64.html">u64</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.usize.html">usize</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.usize.html">usize</a>></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.usize.html">usize</a>> for <a class="primitive" href="../primitive.usize.html">usize</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u16.html">u16</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u16.html">u16</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.u128.html">u128</a>> for <a class="primitive" href="../primitive.u128.html">u128</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.u8.html">u8</a>> for <a class="primitive" href="../primitive.u8.html">u8</a></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.usize.html">usize</a>> for &'a <a class="primitive" href="../primitive.usize.html">usize</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u64.html">u64</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u64.html">u64</a>></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.i8.html">i8</a>> for <a class="primitive" href="../primitive.i8.html">i8</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i16.html">i16</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i16.html">i16</a>></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.isize.html">isize</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.isize.html">isize</a>></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i8.html">i8</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i8.html">i8</a>></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u32.html">u32</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u32.html">u32</a>></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.i16.html">i16</a>> for <a class="primitive" href="../primitive.i16.html">i16</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i32.html">i32</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i32.html">i32</a>></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.f64.html">f64</a>> for <a class="primitive" href="../primitive.f64.html">f64</a></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u16.html">u16</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u16.html">u16</a>></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.u32.html">u32</a>> for &'a <a class="primitive" href="../primitive.u32.html">u32</a></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.isize.html">isize</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.isize.html">isize</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.isize.html">isize</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.isize.html">isize</a>></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i64.html">i64</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i64.html">i64</a>></code></li>
<li><code>impl<'a> Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i32.html">i32</a>>> for &'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i32.html">i32</a>></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i128.html">i128</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i128.html">i128</a>></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.f32.html">f32</a>> for &'a <a class="primitive" href="../primitive.f32.html">f32</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i128.html">i128</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i128.html">i128</a>></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i64.html">i64</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i64.html">i64</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.i8.html">i8</a>> for <a class="primitive" href="../primitive.i8.html">i8</a></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.usize.html">usize</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.usize.html">usize</a>></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u8.html">u8</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u8.html">u8</a>></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.isize.html">isize</a>> for &'a <a class="primitive" href="../primitive.isize.html">isize</a></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i8.html">i8</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i8.html">i8</a>></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.i32.html">i32</a>> for <a class="primitive" href="../primitive.i32.html">i32</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.i8.html">i8</a>> for &'b <a class="primitive" href="../primitive.i8.html">i8</a></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u16.html">u16</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u16.html">u16</a>></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u64.html">u64</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u64.html">u64</a>></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.f64.html">f64</a>> for &'a <a class="primitive" href="../primitive.f64.html">f64</a></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.i64.html">i64</a>> for <a class="primitive" href="../primitive.i64.html">i64</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.u128.html">u128</a>> for &'b <a class="primitive" href="../primitive.u128.html">u128</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i8.html">i8</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i8.html">i8</a>></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i8.html">i8</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.i8.html">i8</a>></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.u8.html">u8</a>> for <a class="primitive" href="../primitive.u8.html">u8</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.u8.html">u8</a>> for &'b <a class="primitive" href="../primitive.u8.html">u8</a></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.isize.html">isize</a>> for <a class="primitive" href="../primitive.isize.html">isize</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u64.html">u64</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u64.html">u64</a>></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.isize.html">isize</a>> for &'b <a class="primitive" href="../primitive.isize.html">isize</a></code></li>
<li><code>impl<'a> Mul<&'a <a class="primitive" href="../primitive.u32.html">u32</a>> for <a class="primitive" href="../primitive.u32.html">u32</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.usize.html">usize</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.usize.html">usize</a>></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.u16.html">u16</a>> for &'a <a class="primitive" href="../primitive.u16.html">u16</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u8.html">u8</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u8.html">u8</a>></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.f32.html">f32</a>> for <a class="primitive" href="../primitive.f32.html">f32</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u128.html">u128</a>>> for &'b <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u128.html">u128</a>></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.i64.html">i64</a>> for &'b <a class="primitive" href="../primitive.i64.html">i64</a></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.u16.html">u16</a>> for <a class="primitive" href="../primitive.u16.html">u16</a></code></li>
<li><code>impl<'a, 'b> Mul<&'a <a class="primitive" href="../primitive.f64.html">f64</a>> for &'b <a class="primitive" href="../primitive.f64.html">f64</a></code></li>
<li><code>impl Mul<<a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u128.html">u128</a>>> for <a class="struct" href="../../std/num/struct.Wrapping.html" title="struct std::num::Wrapping">Wrapping</a><<a class="primitive" href="../primitive.u128.html">u128</a>></code></li>
<li><code>impl<'a> Mul<<a class="primitive" href="../primitive.u64.html">u64</a>> for &'a <a class="primitive" href="../primitive.u64.html">u64</a></code></li>
<li><code>impl Mul<<a class="primitive" href="../primitive.u32.html">u32</a>> for <a class="struct" href="../../std/time/struct.Duration.html" title="struct std::time::Duration">Duration</a></code></li>
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