| <!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="Source of the Rust file `/root/.cargo/registry/src/github.com-1ecc6299db9ec823/num-complex-0.3.1/src/pow.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>pow.rs - source</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="../../source-script.js"></script><script defer src="../../source-files.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 source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><a class="sidebar-logo" href="../../num_complex/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../num_complex/index.html"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></a><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="example-wrap"><pre class="src-line-numbers"><span id="1">1</span> |
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| </pre><pre class="rust"><code><span class="kw">use </span><span class="kw">super</span>::Complex; |
| |
| <span class="kw">use </span>core::ops::Neg; |
| <span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">use </span>num_traits::Float; |
| <span class="kw">use </span>num_traits::{Num, One, Pow}; |
| |
| <span class="macro">macro_rules! </span>pow_impl { |
| (<span class="macro-nonterminal">$U</span>:ty, <span class="macro-nonterminal">$S</span>:ty) => { |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T: Clone + Num> Pow<<span class="macro-nonterminal">$U</span>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Complex<T> { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, <span class="kw-2">mut </span>exp: <span class="macro-nonterminal">$U</span>) -> <span class="self">Self</span>::Output { |
| <span class="kw">if </span>exp == <span class="number">0 </span>{ |
| <span class="kw">return </span>Complex::one(); |
| } |
| <span class="kw">let </span><span class="kw-2">mut </span>base = <span class="self">self</span>.clone(); |
| |
| <span class="kw">while </span>exp & <span class="number">1 </span>== <span class="number">0 </span>{ |
| base = base.clone() * base; |
| exp >>= <span class="number">1</span>; |
| } |
| |
| <span class="kw">if </span>exp == <span class="number">1 </span>{ |
| <span class="kw">return </span>base; |
| } |
| |
| <span class="kw">let </span><span class="kw-2">mut </span>acc = base.clone(); |
| <span class="kw">while </span>exp > <span class="number">1 </span>{ |
| exp >>= <span class="number">1</span>; |
| base = base.clone() * base; |
| <span class="kw">if </span>exp & <span class="number">1 </span>== <span class="number">1 </span>{ |
| acc = acc * base.clone(); |
| } |
| } |
| acc |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>, T: Clone + Num> Pow<<span class="kw-2">&</span><span class="lifetime">'b </span><span class="macro-nonterminal">$U</span>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Complex<T> { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, exp: <span class="kw-2">&</span><span class="macro-nonterminal">$U</span>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.pow(<span class="kw-2">*</span>exp) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T: Clone + Num + Neg<Output = T>> Pow<<span class="macro-nonterminal">$S</span>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Complex<T> { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, exp: <span class="macro-nonterminal">$S</span>) -> <span class="self">Self</span>::Output { |
| <span class="kw">if </span>exp < <span class="number">0 </span>{ |
| Pow::pow(<span class="kw-2">&</span><span class="self">self</span>.inv(), exp.wrapping_neg() <span class="kw">as </span><span class="macro-nonterminal">$U</span>) |
| } <span class="kw">else </span>{ |
| Pow::pow(<span class="self">self</span>, exp <span class="kw">as </span><span class="macro-nonterminal">$U</span>) |
| } |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>, T: Clone + Num + Neg<Output = T>> Pow<<span class="kw-2">&</span><span class="lifetime">'b </span><span class="macro-nonterminal">$S</span>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Complex<T> { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, exp: <span class="kw-2">&</span><span class="macro-nonterminal">$S</span>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.pow(<span class="kw-2">*</span>exp) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">pow_impl!</span>(u8, i8); |
| <span class="macro">pow_impl!</span>(u16, i16); |
| <span class="macro">pow_impl!</span>(u32, i32); |
| <span class="macro">pow_impl!</span>(u64, i64); |
| <span class="macro">pow_impl!</span>(usize, isize); |
| <span class="macro">pow_impl!</span>(u128, i128); |
| |
| <span class="comment">// Note: we can't add `impl<T: Float> Pow<T> for Complex<T>` because new blanket impls are a |
| // breaking change. Someone could already have their own `F` and `impl Pow<F> for Complex<F>` |
| // which would conflict. We can't even do this in a new semantic version, because we have to |
| // gate it on the "std" feature, and features can't add breaking changes either. |
| |
| </span><span class="macro">macro_rules! </span>powf_impl { |
| (<span class="macro-nonterminal">$F</span>:ty) => { |
| <span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">impl</span><<span class="lifetime">'a</span>, T: Float> Pow<<span class="macro-nonterminal">$F</span>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Complex<T> |
| <span class="kw">where |
| </span><span class="macro-nonterminal">$F</span>: Into<T>, |
| { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, exp: <span class="macro-nonterminal">$F</span>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.powf(exp.into()) |
| } |
| } |
| |
| <span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>, T: Float> Pow<<span class="kw-2">&</span><span class="lifetime">'b </span><span class="macro-nonterminal">$F</span>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Complex<T> |
| <span class="kw">where |
| </span><span class="macro-nonterminal">$F</span>: Into<T>, |
| { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, <span class="kw-2">&</span>exp: <span class="kw-2">&</span><span class="macro-nonterminal">$F</span>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.powf(exp.into()) |
| } |
| } |
| |
| <span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">impl</span><T: Float> Pow<<span class="macro-nonterminal">$F</span>> <span class="kw">for </span>Complex<T> |
| <span class="kw">where |
| </span><span class="macro-nonterminal">$F</span>: Into<T>, |
| { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, exp: <span class="macro-nonterminal">$F</span>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.powf(exp.into()) |
| } |
| } |
| |
| <span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">impl</span><<span class="lifetime">'b</span>, T: Float> Pow<<span class="kw-2">&</span><span class="lifetime">'b </span><span class="macro-nonterminal">$F</span>> <span class="kw">for </span>Complex<T> |
| <span class="kw">where |
| </span><span class="macro-nonterminal">$F</span>: Into<T>, |
| { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, <span class="kw-2">&</span>exp: <span class="kw-2">&</span><span class="macro-nonterminal">$F</span>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.powf(exp.into()) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">powf_impl!</span>(f32); |
| <span class="macro">powf_impl!</span>(f64); |
| |
| <span class="comment">// These blanket impls are OK, because both the target type and the trait parameter would be |
| // foreign to anyone else trying to implement something that would overlap, raising E0117. |
| |
| </span><span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">impl</span><<span class="lifetime">'a</span>, T: Float> Pow<Complex<T>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Complex<T> { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, exp: Complex<T>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.powc(exp) |
| } |
| } |
| |
| <span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>, T: Float> Pow<<span class="kw-2">&</span><span class="lifetime">'b </span>Complex<T>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Complex<T> { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, <span class="kw-2">&</span>exp: <span class="kw-2">&</span><span class="lifetime">'b </span>Complex<T>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.powc(exp) |
| } |
| } |
| |
| <span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">impl</span><T: Float> Pow<Complex<T>> <span class="kw">for </span>Complex<T> { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, exp: Complex<T>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.powc(exp) |
| } |
| } |
| |
| <span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">impl</span><<span class="lifetime">'b</span>, T: Float> Pow<<span class="kw-2">&</span><span class="lifetime">'b </span>Complex<T>> <span class="kw">for </span>Complex<T> { |
| <span class="kw">type </span>Output = Complex<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, <span class="kw-2">&</span>exp: <span class="kw-2">&</span><span class="lifetime">'b </span>Complex<T>) -> <span class="self">Self</span>::Output { |
| <span class="self">self</span>.powc(exp) |
| } |
| } |
| </code></pre></div> |
| </section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="num_complex" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html> |
