| <!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="Fused multiply-add. Computes `(self * a) + b` with only one rounding error, yielding a more accurate result than an unfused multiply-add."><meta name="keywords" content="rust, rustlang, rust-lang, MulAdd"><title>MulAdd in num::traits - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" href="../../normalize.css"><link rel="stylesheet" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../ayu.css" disabled><link rel="stylesheet" href="../../dark.css" disabled><link rel="stylesheet" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../main.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../favicon.svg"></head><body class="rustdoc trait"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">☰</button><a class="sidebar-logo" href="../../num/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a><h2></h2></nav><nav class="sidebar"><a class="sidebar-logo" href="../../num/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a><h2 class="location"><a href="#">MulAdd</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.Output">Output</a></li></ul><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.mul_add">mul_add</a></li></ul><h3><a href="#foreign-impls">Implementations on Foreign Types</a></h3><ul class="block"><li><a href="#impl-MulAdd%3Cf32%2C%20f32%3E-for-f32">f32</a></li><li><a href="#impl-MulAdd%3Cf64%2C%20f64%3E-for-f64">f64</a></li><li><a href="#impl-MulAdd%3Ci128%2C%20i128%3E-for-i128">i128</a></li><li><a href="#impl-MulAdd%3Ci16%2C%20i16%3E-for-i16">i16</a></li><li><a href="#impl-MulAdd%3Ci32%2C%20i32%3E-for-i32">i32</a></li><li><a href="#impl-MulAdd%3Ci64%2C%20i64%3E-for-i64">i64</a></li><li><a href="#impl-MulAdd%3Ci8%2C%20i8%3E-for-i8">i8</a></li><li><a href="#impl-MulAdd%3Cisize%2C%20isize%3E-for-isize">isize</a></li><li><a href="#impl-MulAdd%3Cu128%2C%20u128%3E-for-u128">u128</a></li><li><a href="#impl-MulAdd%3Cu16%2C%20u16%3E-for-u16">u16</a></li><li><a href="#impl-MulAdd%3Cu32%2C%20u32%3E-for-u32">u32</a></li><li><a href="#impl-MulAdd%3Cu64%2C%20u64%3E-for-u64">u64</a></li><li><a href="#impl-MulAdd%3Cu8%2C%20u8%3E-for-u8">u8</a></li><li><a href="#impl-MulAdd%3Cusize%2C%20usize%3E-for-usize">usize</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In num::traits</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1 class="fqn">Trait <a href="../index.html">num</a>::<wbr><a href="index.html">traits</a>::<wbr><a class="trait" href="#">MulAdd</a><button id="copy-path" onclick="copy_path(this)" title="Copy item path to clipboard"><img src="../../clipboard.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../src/num_traits/ops/mul_add.rs.html#23">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">−</span>]</a></span></div><div class="item-decl"><pre class="rust trait"><code>pub trait MulAdd<A = Self, B = Self> { |
| type <a href="#associatedtype.Output" class="associatedtype">Output</a>; |
| fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: A, b: B) -> Self::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a>; |
| }</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Fused multiply-add. Computes <code>(self * a) + b</code> with only one rounding |
| error, yielding a more accurate result than an unfused multiply-add.</p> |
| <p>Using <code>mul_add</code> can be more performant than an unfused multiply-add if |
| the target architecture has a dedicated <code>fma</code> CPU instruction.</p> |
| <p>Note that <code>A</code> and <code>B</code> are <code>Self</code> by default, but this is not mandatory.</p> |
| <h2 id="example"><a href="#example">Example</a></h2> |
| <div class="example-wrap"><pre class="rust rust-example-rendered"><code><span class="kw">use </span>std::f32; |
| <span class="kw">let </span>m = <span class="number">10.0_f32</span>; |
| <span class="kw">let </span>x = <span class="number">4.0_f32</span>; |
| <span class="kw">let </span>b = <span class="number">60.0_f32</span>; |
| <span class="comment">// 100.0 |
| </span><span class="kw">let </span>abs_difference = (m.mul_add(x, b) - (m<span class="kw-2">*</span>x + b)).abs(); |
| <span class="macro">assert!</span>(abs_difference <= <span class="number">100.0 </span>* f32::EPSILON);</code></pre></div> |
| </div></details><h2 id="required-associated-types" class="small-section-header">Required Associated Types<a href="#required-associated-types" class="anchor"></a></h2><div class="methods"><details class="rustdoc-toggle method-toggle" open><summary><section id="associatedtype.Output" class="method has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#25">source</a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a></h4></section></summary><div class="docblock"><p>The resulting type after applying the fused multiply-add.</p> |
| </div></details></div><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor"></a></h2><div class="methods"><details class="rustdoc-toggle method-toggle" open><summary><section id="tymethod.mul_add" class="method has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#28">source</a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: A, b: B) -> Self::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></summary><div class="docblock"><p>Performs the fused multiply-add operation.</p> |
| </div></details></div><h2 id="foreign-impls" class="small-section-header">Implementations on Foreign Types<a href="#foreign-impls" class="anchor"></a></h2><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Ci128%2C%20i128%3E-for-i128" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#72">source</a><a href="#impl-MulAdd%3Ci128%2C%20i128%3E-for-i128" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-1" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-1" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a></h4></section><section id="method.mul_add" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#72">source</a><a href="#method.mul_add" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i128.html">i128</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Ci32%2C%20i32%3E-for-i32" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Ci32%2C%20i32%3E-for-i32" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-2" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-2" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a></h4></section><section id="method.mul_add-1" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-1" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Cusize%2C%20usize%3E-for-usize" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Cusize%2C%20usize%3E-for-usize" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-3" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-3" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section><section id="method.mul_add-2" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-2" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Cf64%2C%20f64%3E-for-f64" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#48">source</a><a href="#impl-MulAdd%3Cf64%2C%20f64%3E-for-f64" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::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></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-4" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-4" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a></h4></section><section id="method.mul_add-3" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#52">source</a><a href="#method.mul_add-3" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f64.html">f64</a>, b: <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> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::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>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Cu16%2C%20u16%3E-for-u16" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Cu16%2C%20u16%3E-for-u16" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-5" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-5" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a></h4></section><section id="method.mul_add-4" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-4" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u16.html">u16</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Cu128%2C%20u128%3E-for-u128" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#72">source</a><a href="#impl-MulAdd%3Cu128%2C%20u128%3E-for-u128" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-6" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-6" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a></h4></section><section id="method.mul_add-5" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#72">source</a><a href="#method.mul_add-5" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u128.html">u128</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Cu64%2C%20u64%3E-for-u64" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Cu64%2C%20u64%3E-for-u64" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-7" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-7" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a></h4></section><section id="method.mul_add-6" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-6" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Cu32%2C%20u32%3E-for-u32" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Cu32%2C%20u32%3E-for-u32" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-8" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-8" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></h4></section><section id="method.mul_add-7" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-7" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Ci64%2C%20i64%3E-for-i64" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Ci64%2C%20i64%3E-for-i64" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-9" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-9" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a></h4></section><section id="method.mul_add-8" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-8" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i64.html">i64</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Ci8%2C%20i8%3E-for-i8" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Ci8%2C%20i8%3E-for-i8" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-10" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-10" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a></h4></section><section id="method.mul_add-9" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-9" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i8.html">i8</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Cisize%2C%20isize%3E-for-isize" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Cisize%2C%20isize%3E-for-isize" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-11" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-11" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a></h4></section><section id="method.mul_add-10" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-10" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Ci16%2C%20i16%3E-for-i16" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Ci16%2C%20i16%3E-for-i16" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-12" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-12" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a></h4></section><section id="method.mul_add-11" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-11" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i16.html">i16</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Cf32%2C%20f32%3E-for-f32" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#38">source</a><a href="#impl-MulAdd%3Cf32%2C%20f32%3E-for-f32" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::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></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-13" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-13" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a></h4></section><section id="method.mul_add-12" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#42">source</a><a href="#method.mul_add-12" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.f32.html">f32</a>, b: <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> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::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>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3Cu8%2C%20u8%3E-for-u8" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#impl-MulAdd%3Cu8%2C%20u8%3E-for-u8" class="anchor"></a><h3 class="code-header">impl <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>> for <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-14" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-14" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></h4></section><section id="method.mul_add-13" class="method trait-impl has-srclink"><a class="srclink rightside" href="../../src/num_traits/ops/mul_add.rs.html#70">source</a><a href="#method.mul_add-13" class="anchor"></a><h4 class="code-header">fn <a href="#tymethod.mul_add" class="fnname">mul_add</a>(self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>) -> <<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a> as <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>>>::<a class="associatedtype" href="trait.MulAdd.html#associatedtype.Output" title="type num::traits::MulAdd::Output">Output</a></h4></section></div></details><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor"></a></h2><div id="implementors-list"><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3C%26%27b%20Complex%3CT%3E%2C%20%26%27a%20Complex%3CT%3E%3E-for-%26%27a%20Complex%3CT%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_complex/lib.rs.html#707">source</a><a href="#impl-MulAdd%3C%26%27b%20Complex%3CT%3E%2C%20%26%27a%20Complex%3CT%3E%3E-for-%26%27a%20Complex%3CT%3E" class="anchor"></a><h3 class="code-header">impl<'a, 'b, T> <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><&'b <a class="struct" href="../struct.Complex.html" title="struct num::Complex">Complex</a><T>, &'a <a class="struct" href="../struct.Complex.html" title="struct num::Complex">Complex</a><T>> for &'a <a class="struct" href="../struct.Complex.html" title="struct num::Complex">Complex</a><T><span class="where fmt-newline">where<br> T: <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="../trait.Num.html" title="trait num::Num">Num</a> + <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><T, T, Output = T>,</span></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-15" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-15" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="struct" href="../struct.Complex.html" title="struct num::Complex">Complex</a><T></h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-MulAdd%3CComplex%3CT%3E%2C%20Complex%3CT%3E%3E-for-Complex%3CT%3E" class="impl has-srclink"><a class="srclink rightside" href="../../src/num_complex/lib.rs.html#696">source</a><a href="#impl-MulAdd%3CComplex%3CT%3E%2C%20Complex%3CT%3E%3E-for-Complex%3CT%3E" class="anchor"></a><h3 class="code-header">impl<T> <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><<a class="struct" href="../struct.Complex.html" title="struct num::Complex">Complex</a><T>, <a class="struct" href="../struct.Complex.html" title="struct num::Complex">Complex</a><T>> for <a class="struct" href="../struct.Complex.html" title="struct num::Complex">Complex</a><T><span class="where fmt-newline">where<br> T: <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="../trait.Num.html" title="trait num::Num">Num</a> + <a class="trait" href="trait.MulAdd.html" title="trait num::traits::MulAdd">MulAdd</a><T, T, Output = T>,</span></h3></section></summary><div class="impl-items"><section id="associatedtype.Output-16" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Output-16" class="anchor"></a><h4 class="code-header">type <a href="#associatedtype.Output" class="associatedtype">Output</a> = <a class="struct" href="../struct.Complex.html" title="struct num::Complex">Complex</a><T></h4></section></div></details></div><script src="../../implementors/num_traits/ops/mul_add/trait.MulAdd.js" data-ignore-extern-crates="num_complex,std" async></script></section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="num" data-themes="ayu,dark,light" data-resource-suffix="" 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