| <!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 `/home/runner/.cargo/registry/src/github.com-1ecc6299db9ec823/num-traits-0.2.14/src/identities.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>identities.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" type="text/css" href="../../normalize.css"><link rel="stylesheet" type="text/css" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../../ayu.css" disabled><link rel="stylesheet" type="text/css" href="../../dark.css" disabled><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script src="../../crates.js"></script><script defer src="../../main.js"></script><script defer src="../../source-script.js"></script><script defer src="../../source-files.js"></script> |
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| </pre><pre class="rust"><code><span class="kw">use</span> <span class="ident">core::num::Wrapping</span>; |
| <span class="kw">use</span> <span class="ident">core::ops</span>::{<span class="ident">Add</span>, <span class="ident">Mul</span>}; |
| |
| <span class="doccomment">/// Defines an additive identity element for `Self`.</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// # Laws</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// ```{.text}</span> |
| <span class="doccomment">/// a + 0 = a ∀ a ∈ Self</span> |
| <span class="doccomment">/// 0 + a = a ∀ a ∈ Self</span> |
| <span class="doccomment">/// ```</span> |
| <span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Zero</span>: <span class="ident">Sized</span> <span class="op">+</span> <span class="ident">Add</span><span class="op"><</span><span class="self">Self</span>, <span class="ident">Output</span> <span class="op">=</span> <span class="self">Self</span><span class="op">></span> { |
| <span class="doccomment">/// Returns the additive identity element of `Self`, `0`.</span> |
| <span class="doccomment">/// # Purity</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// This function should return the same result at all times regardless of</span> |
| <span class="doccomment">/// external mutable state, for example values stored in TLS or in</span> |
| <span class="doccomment">/// `static mut`s.</span> |
| <span class="comment">// This cannot be an associated constant, because of bignums.</span> |
| <span class="kw">fn</span> <span class="ident">zero</span>() -> <span class="self">Self</span>; |
| |
| <span class="doccomment">/// Sets `self` to the additive identity element of `Self`, `0`.</span> |
| <span class="kw">fn</span> <span class="ident">set_zero</span>(<span class="kw-2">&mut</span> <span class="self">self</span>) { |
| <span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="ident">Zero::zero</span>(); |
| } |
| |
| <span class="doccomment">/// Returns `true` if `self` is equal to the additive identity.</span> |
| <span class="kw">fn</span> <span class="ident">is_zero</span>(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="ident">bool</span>; |
| } |
| |
| <span class="macro">macro_rules!</span> <span class="ident">zero_impl</span> { |
| (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">v</span>:<span class="ident">expr</span>) => { |
| <span class="kw">impl</span> <span class="ident">Zero</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">zero</span>() -> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { |
| <span class="macro-nonterminal">$</span><span class="macro-nonterminal">v</span> |
| } |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">is_zero</span>(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="ident">bool</span> { |
| <span class="kw-2">*</span><span class="self">self</span> <span class="op">==</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">v</span> |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">zero_impl!</span>(<span class="ident">usize</span>, <span class="number">0</span>); |
| <span class="macro">zero_impl!</span>(<span class="ident">u8</span>, <span class="number">0</span>); |
| <span class="macro">zero_impl!</span>(<span class="ident">u16</span>, <span class="number">0</span>); |
| <span class="macro">zero_impl!</span>(<span class="ident">u32</span>, <span class="number">0</span>); |
| <span class="macro">zero_impl!</span>(<span class="ident">u64</span>, <span class="number">0</span>); |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">has_i128</span>)]</span> |
| <span class="macro">zero_impl!</span>(<span class="ident">u128</span>, <span class="number">0</span>); |
| |
| <span class="macro">zero_impl!</span>(<span class="ident">isize</span>, <span class="number">0</span>); |
| <span class="macro">zero_impl!</span>(<span class="ident">i8</span>, <span class="number">0</span>); |
| <span class="macro">zero_impl!</span>(<span class="ident">i16</span>, <span class="number">0</span>); |
| <span class="macro">zero_impl!</span>(<span class="ident">i32</span>, <span class="number">0</span>); |
| <span class="macro">zero_impl!</span>(<span class="ident">i64</span>, <span class="number">0</span>); |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">has_i128</span>)]</span> |
| <span class="macro">zero_impl!</span>(<span class="ident">i128</span>, <span class="number">0</span>); |
| |
| <span class="macro">zero_impl!</span>(<span class="ident">f32</span>, <span class="number">0.0</span>); |
| <span class="macro">zero_impl!</span>(<span class="ident">f64</span>, <span class="number">0.0</span>); |
| |
| <span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Zero</span><span class="op">></span> <span class="ident">Zero</span> <span class="kw">for</span> <span class="ident">Wrapping</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> |
| <span class="kw">where</span> |
| <span class="ident">Wrapping</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>: <span class="ident">Add</span><span class="op"><</span><span class="ident">Output</span> <span class="op">=</span> <span class="ident">Wrapping</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span>, |
| { |
| <span class="kw">fn</span> <span class="ident">is_zero</span>(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="ident">bool</span> { |
| <span class="self">self</span>.<span class="number">0</span>.<span class="ident">is_zero</span>() |
| } |
| |
| <span class="kw">fn</span> <span class="ident">set_zero</span>(<span class="kw-2">&mut</span> <span class="self">self</span>) { |
| <span class="self">self</span>.<span class="number">0</span>.<span class="ident">set_zero</span>(); |
| } |
| |
| <span class="kw">fn</span> <span class="ident">zero</span>() -> <span class="self">Self</span> { |
| <span class="ident">Wrapping</span>(<span class="ident">T::zero</span>()) |
| } |
| } |
| |
| <span class="doccomment">/// Defines a multiplicative identity element for `Self`.</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// # Laws</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// ```{.text}</span> |
| <span class="doccomment">/// a * 1 = a ∀ a ∈ Self</span> |
| <span class="doccomment">/// 1 * a = a ∀ a ∈ Self</span> |
| <span class="doccomment">/// ```</span> |
| <span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">One</span>: <span class="ident">Sized</span> <span class="op">+</span> <span class="ident">Mul</span><span class="op"><</span><span class="self">Self</span>, <span class="ident">Output</span> <span class="op">=</span> <span class="self">Self</span><span class="op">></span> { |
| <span class="doccomment">/// Returns the multiplicative identity element of `Self`, `1`.</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// # Purity</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// This function should return the same result at all times regardless of</span> |
| <span class="doccomment">/// external mutable state, for example values stored in TLS or in</span> |
| <span class="doccomment">/// `static mut`s.</span> |
| <span class="comment">// This cannot be an associated constant, because of bignums.</span> |
| <span class="kw">fn</span> <span class="ident">one</span>() -> <span class="self">Self</span>; |
| |
| <span class="doccomment">/// Sets `self` to the multiplicative identity element of `Self`, `1`.</span> |
| <span class="kw">fn</span> <span class="ident">set_one</span>(<span class="kw-2">&mut</span> <span class="self">self</span>) { |
| <span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="ident">One::one</span>(); |
| } |
| |
| <span class="doccomment">/// Returns `true` if `self` is equal to the multiplicative identity.</span> |
| <span class="doccomment">///</span> |
| <span class="doccomment">/// For performance reasons, it's best to implement this manually.</span> |
| <span class="doccomment">/// After a semver bump, this method will be required, and the</span> |
| <span class="doccomment">/// `where Self: PartialEq` bound will be removed.</span> |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">is_one</span>(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="ident">bool</span> |
| <span class="kw">where</span> |
| <span class="self">Self</span>: <span class="ident">PartialEq</span>, |
| { |
| <span class="kw-2">*</span><span class="self">self</span> <span class="op">==</span> <span class="ident"><span class="self">Self</span>::one</span>() |
| } |
| } |
| |
| <span class="macro">macro_rules!</span> <span class="ident">one_impl</span> { |
| (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">v</span>:<span class="ident">expr</span>) => { |
| <span class="kw">impl</span> <span class="ident">One</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">one</span>() -> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { |
| <span class="macro-nonterminal">$</span><span class="macro-nonterminal">v</span> |
| } |
| <span class="attribute">#[<span class="ident">inline</span>]</span> |
| <span class="kw">fn</span> <span class="ident">is_one</span>(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="ident">bool</span> { |
| <span class="kw-2">*</span><span class="self">self</span> <span class="op">==</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">v</span> |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">one_impl!</span>(<span class="ident">usize</span>, <span class="number">1</span>); |
| <span class="macro">one_impl!</span>(<span class="ident">u8</span>, <span class="number">1</span>); |
| <span class="macro">one_impl!</span>(<span class="ident">u16</span>, <span class="number">1</span>); |
| <span class="macro">one_impl!</span>(<span class="ident">u32</span>, <span class="number">1</span>); |
| <span class="macro">one_impl!</span>(<span class="ident">u64</span>, <span class="number">1</span>); |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">has_i128</span>)]</span> |
| <span class="macro">one_impl!</span>(<span class="ident">u128</span>, <span class="number">1</span>); |
| |
| <span class="macro">one_impl!</span>(<span class="ident">isize</span>, <span class="number">1</span>); |
| <span class="macro">one_impl!</span>(<span class="ident">i8</span>, <span class="number">1</span>); |
| <span class="macro">one_impl!</span>(<span class="ident">i16</span>, <span class="number">1</span>); |
| <span class="macro">one_impl!</span>(<span class="ident">i32</span>, <span class="number">1</span>); |
| <span class="macro">one_impl!</span>(<span class="ident">i64</span>, <span class="number">1</span>); |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">has_i128</span>)]</span> |
| <span class="macro">one_impl!</span>(<span class="ident">i128</span>, <span class="number">1</span>); |
| |
| <span class="macro">one_impl!</span>(<span class="ident">f32</span>, <span class="number">1.0</span>); |
| <span class="macro">one_impl!</span>(<span class="ident">f64</span>, <span class="number">1.0</span>); |
| |
| <span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">One</span><span class="op">></span> <span class="ident">One</span> <span class="kw">for</span> <span class="ident">Wrapping</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> |
| <span class="kw">where</span> |
| <span class="ident">Wrapping</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>: <span class="ident">Mul</span><span class="op"><</span><span class="ident">Output</span> <span class="op">=</span> <span class="ident">Wrapping</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span>, |
| { |
| <span class="kw">fn</span> <span class="ident">set_one</span>(<span class="kw-2">&mut</span> <span class="self">self</span>) { |
| <span class="self">self</span>.<span class="number">0</span>.<span class="ident">set_one</span>(); |
| } |
| |
| <span class="kw">fn</span> <span class="ident">one</span>() -> <span class="self">Self</span> { |
| <span class="ident">Wrapping</span>(<span class="ident">T::one</span>()) |
| } |
| } |
| |
| <span class="comment">// Some helper functions provided for backwards compatibility.</span> |
| |
| <span class="doccomment">/// Returns the additive identity, `0`.</span> |
| <span class="attribute">#[<span class="ident">inline</span>(<span class="ident">always</span>)]</span> |
| <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">zero</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Zero</span><span class="op">></span>() -> <span class="ident">T</span> { |
| <span class="ident">Zero::zero</span>() |
| } |
| |
| <span class="doccomment">/// Returns the multiplicative identity, `1`.</span> |
| <span class="attribute">#[<span class="ident">inline</span>(<span class="ident">always</span>)]</span> |
| <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">one</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">One</span><span class="op">></span>() -> <span class="ident">T</span> { |
| <span class="ident">One::one</span>() |
| } |
| |
| <span class="attribute">#[<span class="ident">test</span>]</span> |
| <span class="kw">fn</span> <span class="ident">wrapping_identities</span>() { |
| <span class="macro">macro_rules!</span> <span class="ident">test_wrapping_identities</span> { |
| ($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="op">+</span>) => { |
| $( |
| <span class="macro">assert_eq!</span>(<span class="ident">zero</span>::<span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span><span class="op">></span>(), <span class="ident">zero</span>::<span class="op"><</span><span class="ident">Wrapping</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span><span class="op">></span><span class="op">></span>().<span class="number">0</span>); |
| <span class="macro">assert_eq!</span>(<span class="ident">one</span>::<span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span><span class="op">></span>(), <span class="ident">one</span>::<span class="op"><</span><span class="ident">Wrapping</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span><span class="op">></span><span class="op">></span>().<span class="number">0</span>); |
| <span class="macro">assert_eq!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>).<span class="ident">is_zero</span>(), <span class="ident">Wrapping</span>(<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>).<span class="ident">is_zero</span>()); |
| <span class="macro">assert_eq!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>).<span class="ident">is_zero</span>(), <span class="ident">Wrapping</span>(<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>).<span class="ident">is_zero</span>()); |
| )<span class="op">+</span> |
| }; |
| } |
| |
| <span class="macro">test_wrapping_identities!</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="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="attribute">#[<span class="ident">test</span>]</span> |
| <span class="kw">fn</span> <span class="ident">wrapping_is_zero</span>() { |
| <span class="kw">fn</span> <span class="ident">require_zero</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Zero</span><span class="op">></span>(<span class="kw">_</span>: <span class="kw-2">&</span><span class="ident">T</span>) {} |
| <span class="ident">require_zero</span>(<span class="kw-2">&</span><span class="ident">Wrapping</span>(<span class="number">42</span>)); |
| } |
| <span class="attribute">#[<span class="ident">test</span>]</span> |
| <span class="kw">fn</span> <span class="ident">wrapping_is_one</span>() { |
| <span class="kw">fn</span> <span class="ident">require_one</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">One</span><span class="op">></span>(<span class="kw">_</span>: <span class="kw-2">&</span><span class="ident">T</span>) {} |
| <span class="ident">require_one</span>(<span class="kw-2">&</span><span class="ident">Wrapping</span>(<span class="number">42</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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