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| </pre><pre class="rust"><code><span class="doccomment">/// Fused multiply-add. Computes `(self * a) + b` with only one rounding</span> |
| <span class="doccomment">/// error, yielding a more accurate result than an unfused multiply-add.</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// Using `mul_add` can be more performant than an unfused multiply-add if</span> |
| <span class="doccomment">/// the target architecture has a dedicated `fma` CPU instruction.</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// Note that `A` and `B` are `Self` by default, but this is not mandatory.</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// # Example</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// ```</span> |
| <span class="doccomment">/// use std::f32;</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// let m = 10.0_f32;</span> |
| <span class="doccomment">/// let x = 4.0_f32;</span> |
| <span class="doccomment">/// let b = 60.0_f32;</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// // 100.0</span> |
| <span class="doccomment">/// let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// assert!(abs_difference <= 100.0 * f32::EPSILON);</span> |
| <span class="doccomment">/// ```</span> |
| <span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">MulAdd</span><span class="op"><</span><span class="ident">A</span> <span class="op">=</span> <span class="self">Self</span>, <span class="ident">B</span> <span class="op">=</span> <span class="self">Self</span><span class="op">></span> { |
| <span class="doccomment">/// The resulting type after applying the fused multiply-add.</span> |
| <span class="kw">type</span> <span class="ident">Output</span>; |
| |
| <span class="doccomment">/// Performs the fused multiply-add operation.</span> |
| <span class="kw">fn</span> <span class="ident">mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>: <span class="ident">A</span>, <span class="ident">b</span>: <span class="ident">B</span>) -> <span class="ident"><span class="self">Self</span>::Output</span>; |
| } |
| |
| <span class="doccomment">/// The fused multiply-add assignment operation.</span> |
| <span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">MulAddAssign</span><span class="op"><</span><span class="ident">A</span> <span class="op">=</span> <span class="self">Self</span>, <span class="ident">B</span> <span class="op">=</span> <span class="self">Self</span><span class="op">></span> { |
| <span class="doccomment">/// Performs the fused multiply-add operation.</span> |
| <span class="kw">fn</span> <span class="ident">mul_add_assign</span>(<span class="kw-2">&mut</span> <span class="self">self</span>, <span class="ident">a</span>: <span class="ident">A</span>, <span class="ident">b</span>: <span class="ident">B</span>); |
| } |
| |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">any</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"std"</span>, <span class="ident">feature</span> <span class="op">=</span> <span class="string">"libm"</span>))]</span> |
| <span class="kw">impl</span> <span class="ident">MulAdd</span><span class="op"><</span><span class="ident">f32</span>, <span class="ident">f32</span><span class="op">></span> <span class="kw">for</span> <span class="ident">f32</span> { |
| <span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="self">Self</span>; |
| |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) -> <span class="ident"><span class="self">Self</span>::Output</span> { |
| <span class="op"><</span><span class="self">Self</span> <span class="kw">as</span> <span class="ident">::Float</span><span class="op">></span><span class="ident">::mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>, <span class="ident">b</span>) |
| } |
| } |
| |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">any</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"std"</span>, <span class="ident">feature</span> <span class="op">=</span> <span class="string">"libm"</span>))]</span> |
| <span class="kw">impl</span> <span class="ident">MulAdd</span><span class="op"><</span><span class="ident">f64</span>, <span class="ident">f64</span><span class="op">></span> <span class="kw">for</span> <span class="ident">f64</span> { |
| <span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="self">Self</span>; |
| |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) -> <span class="ident"><span class="self">Self</span>::Output</span> { |
| <span class="op"><</span><span class="self">Self</span> <span class="kw">as</span> <span class="ident">::Float</span><span class="op">></span><span class="ident">::mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>, <span class="ident">b</span>) |
| } |
| } |
| |
| <span class="macro">macro_rules!</span> <span class="ident">mul_add_impl</span> { |
| (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">trait_name</span>:<span class="ident">ident</span> <span class="kw">for</span> $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) => {$( |
| <span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">trait_name</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { |
| <span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="self">Self</span>; |
| |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) -> <span class="ident"><span class="self">Self</span>::Output</span> { |
| (<span class="self">self</span> <span class="op">*</span> <span class="ident">a</span>) <span class="op">+</span> <span class="ident">b</span> |
| } |
| } |
| )<span class="kw-2">*</span>} |
| } |
| |
| <span class="macro">mul_add_impl!</span>(<span class="ident">MulAdd</span> <span class="kw">for</span> <span class="ident">isize</span> <span class="ident">usize</span> <span class="ident">i8</span> <span class="ident">u8</span> <span class="ident">i16</span> <span class="ident">u16</span> <span class="ident">i32</span> <span class="ident">u32</span> <span class="ident">i64</span> <span class="ident">u64</span>); |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">has_i128</span>)]</span> |
| <span class="macro">mul_add_impl!</span>(<span class="ident">MulAdd</span> <span class="kw">for</span> <span class="ident">i128</span> <span class="ident">u128</span>); |
| |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">any</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"std"</span>, <span class="ident">feature</span> <span class="op">=</span> <span class="string">"libm"</span>))]</span> |
| <span class="kw">impl</span> <span class="ident">MulAddAssign</span><span class="op"><</span><span class="ident">f32</span>, <span class="ident">f32</span><span class="op">></span> <span class="kw">for</span> <span class="ident">f32</span> { |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">mul_add_assign</span>(<span class="kw-2">&mut</span> <span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) { |
| <span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="op"><</span><span class="self">Self</span> <span class="kw">as</span> <span class="ident">::Float</span><span class="op">></span><span class="ident">::mul_add</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="ident">a</span>, <span class="ident">b</span>) |
| } |
| } |
| |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">any</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"std"</span>, <span class="ident">feature</span> <span class="op">=</span> <span class="string">"libm"</span>))]</span> |
| <span class="kw">impl</span> <span class="ident">MulAddAssign</span><span class="op"><</span><span class="ident">f64</span>, <span class="ident">f64</span><span class="op">></span> <span class="kw">for</span> <span class="ident">f64</span> { |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">mul_add_assign</span>(<span class="kw-2">&mut</span> <span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) { |
| <span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="op"><</span><span class="self">Self</span> <span class="kw">as</span> <span class="ident">::Float</span><span class="op">></span><span class="ident">::mul_add</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="ident">a</span>, <span class="ident">b</span>) |
| } |
| } |
| |
| <span class="macro">macro_rules!</span> <span class="ident">mul_add_assign_impl</span> { |
| (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">trait_name</span>:<span class="ident">ident</span> <span class="kw">for</span> $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) => {$( |
| <span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">trait_name</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">mul_add_assign</span>(<span class="kw-2">&mut</span> <span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) { |
| <span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> (<span class="kw-2">*</span><span class="self">self</span> <span class="op">*</span> <span class="ident">a</span>) <span class="op">+</span> <span class="ident">b</span> |
| } |
| } |
| )<span class="kw-2">*</span>} |
| } |
| |
| <span class="macro">mul_add_assign_impl!</span>(<span class="ident">MulAddAssign</span> <span class="kw">for</span> <span class="ident">isize</span> <span class="ident">usize</span> <span class="ident">i8</span> <span class="ident">u8</span> <span class="ident">i16</span> <span class="ident">u16</span> <span class="ident">i32</span> <span class="ident">u32</span> <span class="ident">i64</span> <span class="ident">u64</span>); |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">has_i128</span>)]</span> |
| <span class="macro">mul_add_assign_impl!</span>(<span class="ident">MulAddAssign</span> <span class="kw">for</span> <span class="ident">i128</span> <span class="ident">u128</span>); |
| |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span> |
| <span class="kw">mod</span> <span class="ident">tests</span> { |
| <span class="kw">use</span> <span class="kw">super</span>::<span class="kw-2">*</span>; |
| |
| <span class="attribute">#[<span class="ident">test</span>]</span> |
| <span class="kw">fn</span> <span class="ident">mul_add_integer</span>() { |
| <span class="macro">macro_rules!</span> <span class="ident">test_mul_add</span> { |
| ($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ident</span>)<span class="op">+</span>) => { |
| $( |
| { |
| <span class="kw">let</span> <span class="ident">m</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="number">2</span>; |
| <span class="kw">let</span> <span class="ident">x</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="number">3</span>; |
| <span class="kw">let</span> <span class="ident">b</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="number">4</span>; |
| |
| <span class="macro">assert_eq!</span>(<span class="ident">MulAdd::mul_add</span>(<span class="ident">m</span>, <span class="ident">x</span>, <span class="ident">b</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="op">+</span> |
| }; |
| } |
| |
| <span class="macro">test_mul_add!</span>(<span class="ident">usize</span> <span class="ident">u8</span> <span class="ident">u16</span> <span class="ident">u32</span> <span class="ident">u64</span> <span class="ident">isize</span> <span class="ident">i8</span> <span class="ident">i16</span> <span class="ident">i32</span> <span class="ident">i64</span>); |
| } |
| |
| <span class="attribute">#[<span class="ident">test</span>]</span> |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"std"</span>)]</span> |
| <span class="kw">fn</span> <span class="ident">mul_add_float</span>() { |
| <span class="macro">macro_rules!</span> <span class="ident">test_mul_add</span> { |
| ($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ident</span>)<span class="op">+</span>) => { |
| $( |
| { |
| <span class="kw">use</span> <span class="ident">core</span>::<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>; |
| |
| <span class="kw">let</span> <span class="ident">m</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="number">12.0</span>; |
| <span class="kw">let</span> <span class="ident">x</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="number">3.4</span>; |
| <span class="kw">let</span> <span class="ident">b</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="number">5.6</span>; |
| |
| <span class="kw">let</span> <span class="ident">abs_difference</span> <span class="op">=</span> (<span class="ident">MulAdd::mul_add</span>(<span class="ident">m</span>, <span class="ident">x</span>, <span class="ident">b</span>) <span class="op">-</span> (<span class="ident">m</span><span class="kw-2">*</span><span class="ident">x</span> <span class="op">+</span> <span class="ident">b</span>)).<span class="ident">abs</span>(); |
| |
| <span class="macro">assert!</span>(<span class="ident">abs_difference</span> <span class="op"><</span><span class="op">=</span> <span class="number">46.4</span> <span class="op">*</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t::EPSILON</span>); |
| } |
| )<span class="op">+</span> |
| }; |
| } |
| |
| <span class="macro">test_mul_add!</span>(<span class="ident">f32</span> <span class="ident">f64</span>); |
| } |
| } |
| </code></pre></div> |
| </section><section id="search" class="content hidden"></section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-current-crate="num_traits" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.60.0-nightly (1bd4fdc94 2022-01-12)" ></div> |
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