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<p class='location'>Trait MulAdd</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#associated-types">Associated Types</a><div class="sidebar-links"><a href="#associatedtype.Output">Output</a></div><a class="sidebar-title" href="#required-methods">Required Methods</a><div class="sidebar-links"><a href="#tymethod.mul_add">mul_add</a></div><a class="sidebar-title" href="#foreign-impls">Implementations on Foreign Types</a><div class="sidebar-links"><a href="#impl-MulAdd%3Cf32%2C%20f32%3E">f32</a><a href="#impl-MulAdd%3Cf64%2C%20f64%3E">f64</a><a href="#impl-MulAdd">isize</a><a href="#impl-MulAdd">usize</a><a href="#impl-MulAdd">i8</a><a href="#impl-MulAdd">u8</a><a href="#impl-MulAdd">i16</a><a href="#impl-MulAdd">u16</a><a href="#impl-MulAdd">i32</a><a href="#impl-MulAdd">u32</a><a href="#impl-MulAdd">i64</a><a href="#impl-MulAdd">u64</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'>ops</a>::<wbr><a href='index.html'>mul_add</a></p><script>window.sidebarCurrent = {name: 'MulAdd', ty: 'trait', relpath: ''};</script><script defer src="sidebar-items.js"></script></div>
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<h1 class='fqn'><span class='in-band'>Trait <a href='../../index.html'>num_traits</a>::<wbr><a href='../index.html'>ops</a>::<wbr><a href='index.html'>mul_add</a>::<wbr><a class="trait" href=''>MulAdd</a></span><span class='out-of-band'><span id='render-detail'>
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[<span class='inner'>−</span>]
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</span><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#23-29' title='goto source code'>[src]</a></span></h1>
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<pre class='rust trait'>pub trait MulAdd<A = Self, B = Self> {
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type <a href='#associatedtype.Output' class="type">Output</a>;
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fn <a href='#tymethod.mul_add' class='fnname'>mul_add</a>(self, a: A, b: B) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a>;
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}</pre><div class='docblock'><p>Fused multiply-add. Computes <code>(self * a) + b</code> with only one rounding
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error, yielding a more accurate result than an unfused multiply-add.</p>
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<p>Using <code>mul_add</code> can be more performant than an unfused multiply-add if
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the target architecture has a dedicated <code>fma</code> CPU instruction.</p>
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<p>Note that <code>A</code> and <code>B</code> are <code>Self</code> by default, but this is not mandatory.</p>
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<h1 id="example" class="section-header"><a href="#example">Example</a></h1>
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<pre class="rust rust-example-rendered">
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<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f32</span>;
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<span class="kw">let</span> <span class="ident">m</span> <span class="op">=</span> <span class="number">10.0_f32</span>;
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<span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">4.0_f32</span>;
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<span class="kw">let</span> <span class="ident">b</span> <span class="op">=</span> <span class="number">60.0_f32</span>;
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<span class="comment">// 100.0</span>
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<span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">m</span>.<span class="ident">mul_add</span>(<span class="ident">x</span>, <span class="ident">b</span>) <span class="op">-</span> (<span class="ident">m</span><span class="kw-2">*</span><span class="ident">x</span> <span class="op">+</span> <span class="ident">b</span>)).<span class="ident">abs</span>();
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<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">abs_difference</span> <span class="op"><=</span> <span class="ident">f32</span>::<span class="ident">EPSILON</span>);</pre>
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</div>
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<h2 id='associated-types' class='small-section-header'>
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Associated Types<a href='#associated-types' class='anchor'></a>
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</h2>
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<div class='methods'>
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<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 fused multiply-add.</p>
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</div></div>
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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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</h2>
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<div class='methods'>
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<h3 id='tymethod.mul_add' class='method'><span id='mul_add.v' class='invisible'><code>fn <a href='#tymethod.mul_add' class='fnname'>mul_add</a>(self, a: A, b: B) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span></h3><div class='docblock'><p>Performs the fused multiply-add operation.</p>
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</div></div>
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<h2 id='foreign-impls' class='small-section-header'>
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Implementations on Foreign Types<a href='#foreign-impls' class='anchor'></a>
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</h2>
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<h3 id='impl-MulAdd%3Cf32%2C%20f32%3E' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></code><a href='#impl-MulAdd%3Cf32%2C%20f32%3E' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#38-45' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-1' class="type"><span id='Output.t-1' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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<h4 id='method.mul_add' class="method"><span id='mul_add.v-1' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#42-44' title='goto source code'>[src]</a></span></h4>
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</div></span><h3 id='impl-MulAdd%3Cf64%2C%20f64%3E' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></code><a href='#impl-MulAdd%3Cf64%2C%20f64%3E' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#48-55' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-2' class="type"><span id='Output.t-2' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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<h4 id='method.mul_add-1' class="method"><span id='mul_add.v-2' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#52-54' title='goto source code'>[src]</a></span></h4>
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</div></span><h3 id='impl-MulAdd' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a></code><a href='#impl-MulAdd' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#59-66' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-3' class="type"><span id='Output.t-3' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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<h4 id='method.mul_add-2' class="method"><span id='mul_add.v-3' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#63-65' title='goto source code'>[src]</a></span></h4>
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</div></span><h3 id='impl-MulAdd-1' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code><a href='#impl-MulAdd-1' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#59-66' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-4' class="type"><span id='Output.t-4' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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<h4 id='method.mul_add-3' class="method"><span id='mul_add.v-4' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#63-65' title='goto source code'>[src]</a></span></h4>
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</div></span><h3 id='impl-MulAdd-2' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a></code><a href='#impl-MulAdd-2' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#59-66' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-5' class="type"><span id='Output.t-5' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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<h4 id='method.mul_add-4' class="method"><span id='mul_add.v-5' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#63-65' title='goto source code'>[src]</a></span></h4>
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</div></span><h3 id='impl-MulAdd-3' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></code><a href='#impl-MulAdd-3' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#59-66' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-6' class="type"><span id='Output.t-6' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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<h4 id='method.mul_add-5' class="method"><span id='mul_add.v-6' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#63-65' title='goto source code'>[src]</a></span></h4>
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</div></span><h3 id='impl-MulAdd-4' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a></code><a href='#impl-MulAdd-4' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#59-66' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-7' class="type"><span id='Output.t-7' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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<h4 id='method.mul_add-6' class="method"><span id='mul_add.v-7' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#63-65' title='goto source code'>[src]</a></span></h4>
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</div></span><h3 id='impl-MulAdd-5' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a></code><a href='#impl-MulAdd-5' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#59-66' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-8' class="type"><span id='Output.t-8' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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<h4 id='method.mul_add-7' class="method"><span id='mul_add.v-8' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#63-65' title='goto source code'>[src]</a></span></h4>
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</div></span><h3 id='impl-MulAdd-6' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a></code><a href='#impl-MulAdd-6' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#59-66' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-9' class="type"><span id='Output.t-9' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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<h4 id='method.mul_add-8' class="method"><span id='mul_add.v-9' class='invisible'><code>fn <a href='#method.mul_add' class='fnname'>mul_add</a>(self, a: Self, b: Self) -> Self::<a class="type" href="../../../num_traits/ops/mul_add/trait.MulAdd.html#associatedtype.Output" title="type num_traits::ops::mul_add::MulAdd::Output">Output</a></code></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#63-65' title='goto source code'>[src]</a></span></h4>
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</div></span><h3 id='impl-MulAdd-7' class='impl'><span class='in-band'><code>impl <a class="trait" href="../../../num_traits/ops/mul_add/trait.MulAdd.html" title="trait num_traits::ops::mul_add::MulAdd">MulAdd</a> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code><a href='#impl-MulAdd-7' class='anchor'></a></span><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/num_traits/ops/mul_add.rs.html#59-66' title='goto source code'>[src]</a></span></h3>
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<span class='docblock autohide'><div class='impl-items'><h4 id='associatedtype.Output-10' class="type"><span id='Output.t-10' class='invisible'><code>type <a href='#associatedtype.Output' class="type">Output</a> = Self</code></span></h4>
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