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395 lines
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<!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 to the Rust file `/home/mrh/.cargo/registry/src/github.com-1ecc6299db9ec823/approx-0.3.2/src/relative_eq.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>relative_eq.rs.html -- source</title><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="../../dark.css"><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script src="../../storage.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="shortcut icon" href="../../favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc source"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><div class="sidebar-menu">☰</div><a href='../../approx/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a></nav><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!"><img src="../../brush.svg" width="18" alt="Pick another theme!"></button><div id="theme-choices"></div></div><script src="../../theme.js"></script><nav class="sub"><form class="search-form js-only"><div class="search-container"><div><select id="crate-search"><option value="All crates">All crates</option></select><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"></div><a id="settings-menu" href="../../settings.html"><img src="../../wheel.svg" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><pre class="line-numbers"><span id="1"> 1</span>
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</pre><div class="example-wrap"><pre class="rust ">
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<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-complex"</span>)]</span>
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<span class="kw">use</span> <span class="ident">num_complex</span>::<span class="ident">Complex</span>;
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<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"std"</span>))]</span>
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<span class="kw">use</span> <span class="ident">num_traits</span>::<span class="ident">float</span>::<span class="ident">FloatCore</span>;
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<span class="kw">use</span> <span class="ident">std</span>::{<span class="ident">cell</span>, <span class="ident">f32</span>, <span class="ident">f64</span>};
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<span class="kw">use</span> <span class="ident">AbsDiffEq</span>;
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<span class="doccomment">/// Equality comparisons between two numbers using both the absolute difference and</span>
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<span class="doccomment">/// relative based comparisons.</span>
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<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">RelativeEq</span><span class="op"><</span><span class="ident">Rhs</span> <span class="op">=</span> <span class="self">Self</span><span class="op">></span>: <span class="ident">AbsDiffEq</span><span class="op"><</span><span class="ident">Rhs</span><span class="op">></span>
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<span class="kw">where</span>
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<span class="ident">Rhs</span>: <span class="question-mark">?</span><span class="ident">Sized</span>,
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{
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<span class="doccomment">/// The default relative tolerance for testing values that are far-apart.</span>
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<span class="doccomment">///</span>
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<span class="doccomment">/// This is used when no `max_relative` value is supplied to the `relative_eq` macro.</span>
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<span class="kw">fn</span> <span class="ident">default_max_relative</span>() <span class="op">-</span><span class="op">></span> <span class="self">Self</span>::<span class="ident">Epsilon</span>;
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<span class="doccomment">/// A test for equality that uses a relative comparison if the values are far apart.</span>
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<span class="kw">fn</span> <span class="ident">relative_eq</span>(
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<span class="kw-2">&</span><span class="self">self</span>,
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<span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">Rhs</span>,
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<span class="ident">epsilon</span>: <span class="self">Self</span>::<span class="ident">Epsilon</span>,
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<span class="ident">max_relative</span>: <span class="self">Self</span>::<span class="ident">Epsilon</span>,
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) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span>;
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<span class="doccomment">/// The inverse of `ApproxEq::relative_eq`.</span>
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<span class="kw">fn</span> <span class="ident">relative_ne</span>(
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<span class="kw-2">&</span><span class="self">self</span>,
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<span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">Rhs</span>,
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<span class="ident">epsilon</span>: <span class="self">Self</span>::<span class="ident">Epsilon</span>,
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<span class="ident">max_relative</span>: <span class="self">Self</span>::<span class="ident">Epsilon</span>,
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) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
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<span class="op">!</span><span class="self">Self</span>::<span class="ident">relative_eq</span>(<span class="self">self</span>, <span class="ident">other</span>, <span class="ident">epsilon</span>, <span class="ident">max_relative</span>)
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}
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}
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<span class="comment">///////////////////////////////////////////////////////////////////////////////////////////////////</span>
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<span class="comment">// Base implementations</span>
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<span class="comment">///////////////////////////////////////////////////////////////////////////////////////////////////</span>
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<span class="comment">// Implementation based on: [Comparing Floating Point Numbers, 2012 Edition]</span>
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<span class="comment">// (https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/)</span>
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<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">impl_relative_eq</span> {
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(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">U</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
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<span class="kw">impl</span> <span class="ident">RelativeEq</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span> {
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<span class="attribute">#[<span class="ident">inline</span>]</span>
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<span class="kw">fn</span> <span class="ident">default_max_relative</span>() <span class="op">-</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span> {
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<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>::<span class="ident">EPSILON</span>
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}
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||
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<span class="attribute">#[<span class="ident">inline</span>]</span>
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<span class="kw">fn</span> <span class="ident">relative_eq</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>, <span class="ident">epsilon</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>, <span class="ident">max_relative</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
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<span class="comment">// Handle same infinities</span>
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<span class="kw">if</span> <span class="self">self</span> <span class="op">=</span><span class="op">=</span> <span class="ident">other</span> {
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<span class="kw">return</span> <span class="bool-val">true</span>;
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}
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||
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<span class="comment">// Handle remaining infinities</span>
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<span class="kw">if</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>::<span class="ident">is_infinite</span>(<span class="kw-2">*</span><span class="self">self</span>) <span class="op">|</span><span class="op">|</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>::<span class="ident">is_infinite</span>(<span class="kw-2">*</span><span class="ident">other</span>) {
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<span class="kw">return</span> <span class="bool-val">false</span>;
|
||
}
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||
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||
<span class="kw">let</span> <span class="ident">abs_diff</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>::<span class="ident">abs</span>(<span class="self">self</span> <span class="op">-</span> <span class="ident">other</span>);
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||
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<span class="comment">// For when the numbers are really close together</span>
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||
<span class="kw">if</span> <span class="ident">abs_diff</span> <span class="op"><</span><span class="op">=</span> <span class="ident">epsilon</span> {
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<span class="kw">return</span> <span class="bool-val">true</span>;
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||
}
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||
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<span class="kw">let</span> <span class="ident">abs_self</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>::<span class="ident">abs</span>(<span class="kw-2">*</span><span class="self">self</span>);
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<span class="kw">let</span> <span class="ident">abs_other</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>::<span class="ident">abs</span>(<span class="kw-2">*</span><span class="ident">other</span>);
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||
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<span class="kw">let</span> <span class="ident">largest</span> <span class="op">=</span> <span class="kw">if</span> <span class="ident">abs_other</span> <span class="op">></span> <span class="ident">abs_self</span> {
|
||
<span class="ident">abs_other</span>
|
||
} <span class="kw">else</span> {
|
||
<span class="ident">abs_self</span>
|
||
};
|
||
|
||
<span class="comment">// Use a relative difference comparison</span>
|
||
<span class="ident">abs_diff</span> <span class="op"><</span><span class="op">=</span> <span class="ident">largest</span> <span class="op">*</span> <span class="ident">max_relative</span>
|
||
}
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}
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||
};
|
||
}
|
||
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||
<span class="macro">impl_relative_eq</span><span class="macro">!</span>(<span class="ident">f32</span>, <span class="ident">i32</span>);
|
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<span class="macro">impl_relative_eq</span><span class="macro">!</span>(<span class="ident">f64</span>, <span class="ident">i64</span>);
|
||
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||
<span class="comment">///////////////////////////////////////////////////////////////////////////////////////////////////</span>
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<span class="comment">// Derived implementations</span>
|
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<span class="comment">///////////////////////////////////////////////////////////////////////////////////////////////////</span>
|
||
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<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="ident">T</span>: <span class="ident">RelativeEq</span> <span class="op">+</span> <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">></span> <span class="ident">RelativeEq</span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">T</span> {
|
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<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">default_max_relative</span>() <span class="op">-</span><span class="op">></span> <span class="ident">T</span>::<span class="ident">Epsilon</span> {
|
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<span class="ident">T</span>::<span class="ident">default_max_relative</span>()
|
||
}
|
||
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||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">relative_eq</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">T</span>, <span class="ident">epsilon</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>, <span class="ident">max_relative</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
|
||
<span class="ident">T</span>::<span class="ident">relative_eq</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>, <span class="ident">epsilon</span>, <span class="ident">max_relative</span>)
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}
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}
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||
|
||
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="ident">T</span>: <span class="ident">RelativeEq</span> <span class="op">+</span> <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">></span> <span class="ident">RelativeEq</span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="kw-2">mut</span> <span class="ident">T</span> {
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">default_max_relative</span>() <span class="op">-</span><span class="op">></span> <span class="ident">T</span>::<span class="ident">Epsilon</span> {
|
||
<span class="ident">T</span>::<span class="ident">default_max_relative</span>()
|
||
}
|
||
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">relative_eq</span>(
|
||
<span class="kw-2">&</span><span class="self">self</span>,
|
||
<span class="ident">other</span>: <span class="kw-2">&</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="kw-2">mut</span> <span class="ident">T</span>,
|
||
<span class="ident">epsilon</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>,
|
||
<span class="ident">max_relative</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>,
|
||
) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
|
||
<span class="ident">T</span>::<span class="ident">relative_eq</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>, <span class="ident">epsilon</span>, <span class="ident">max_relative</span>)
|
||
}
|
||
}
|
||
|
||
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">RelativeEq</span> <span class="op">+</span> <span class="ident">Copy</span><span class="op">></span> <span class="ident">RelativeEq</span> <span class="kw">for</span> <span class="ident">cell</span>::<span class="ident">Cell</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">default_max_relative</span>() <span class="op">-</span><span class="op">></span> <span class="ident">T</span>::<span class="ident">Epsilon</span> {
|
||
<span class="ident">T</span>::<span class="ident">default_max_relative</span>()
|
||
}
|
||
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">relative_eq</span>(
|
||
<span class="kw-2">&</span><span class="self">self</span>,
|
||
<span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">cell</span>::<span class="ident">Cell</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>,
|
||
<span class="ident">epsilon</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>,
|
||
<span class="ident">max_relative</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>,
|
||
) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
|
||
<span class="ident">T</span>::<span class="ident">relative_eq</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">get</span>(), <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">get</span>(), <span class="ident">epsilon</span>, <span class="ident">max_relative</span>)
|
||
}
|
||
}
|
||
|
||
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">RelativeEq</span> <span class="op">+</span> <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">></span> <span class="ident">RelativeEq</span> <span class="kw">for</span> <span class="ident">cell</span>::<span class="ident">RefCell</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">default_max_relative</span>() <span class="op">-</span><span class="op">></span> <span class="ident">T</span>::<span class="ident">Epsilon</span> {
|
||
<span class="ident">T</span>::<span class="ident">default_max_relative</span>()
|
||
}
|
||
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">relative_eq</span>(
|
||
<span class="kw-2">&</span><span class="self">self</span>,
|
||
<span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">cell</span>::<span class="ident">RefCell</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>,
|
||
<span class="ident">epsilon</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>,
|
||
<span class="ident">max_relative</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>,
|
||
) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
|
||
<span class="ident">T</span>::<span class="ident">relative_eq</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">borrow</span>(), <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">borrow</span>(), <span class="ident">epsilon</span>, <span class="ident">max_relative</span>)
|
||
}
|
||
}
|
||
|
||
<span class="kw">impl</span><span class="op"><</span><span class="ident">A</span>, <span class="ident">B</span><span class="op">></span> <span class="ident">RelativeEq</span><span class="op"><</span>[<span class="ident">B</span>]<span class="op">></span> <span class="kw">for</span> [<span class="ident">A</span>]
|
||
<span class="kw">where</span>
|
||
<span class="ident">A</span>: <span class="ident">RelativeEq</span><span class="op"><</span><span class="ident">B</span><span class="op">></span>,
|
||
<span class="ident">A</span>::<span class="ident">Epsilon</span>: <span class="ident">Clone</span>,
|
||
{
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">default_max_relative</span>() <span class="op">-</span><span class="op">></span> <span class="ident">A</span>::<span class="ident">Epsilon</span> {
|
||
<span class="ident">A</span>::<span class="ident">default_max_relative</span>()
|
||
}
|
||
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">relative_eq</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span>[<span class="ident">B</span>], <span class="ident">epsilon</span>: <span class="ident">A</span>::<span class="ident">Epsilon</span>, <span class="ident">max_relative</span>: <span class="ident">A</span>::<span class="ident">Epsilon</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
|
||
<span class="self">self</span>.<span class="ident">len</span>() <span class="op">=</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">len</span>()
|
||
<span class="kw-2">&</span><span class="op">&</span> <span class="ident">Iterator</span>::<span class="ident">zip</span>(<span class="self">self</span>.<span class="ident">iter</span>(), <span class="ident">other</span>)
|
||
.<span class="ident">all</span>(<span class="op">|</span>(<span class="ident">x</span>, <span class="ident">y</span>)<span class="op">|</span> <span class="ident">A</span>::<span class="ident">relative_eq</span>(<span class="ident">x</span>, <span class="ident">y</span>, <span class="ident">epsilon</span>.<span class="ident">clone</span>(), <span class="ident">max_relative</span>.<span class="ident">clone</span>()))
|
||
}
|
||
}
|
||
|
||
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-complex"</span>)]</span>
|
||
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">RelativeEq</span><span class="op">></span> <span class="ident">RelativeEq</span> <span class="kw">for</span> <span class="ident">Complex</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
|
||
<span class="kw">where</span>
|
||
<span class="ident">T</span>::<span class="ident">Epsilon</span>: <span class="ident">Clone</span>,
|
||
{
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">default_max_relative</span>() <span class="op">-</span><span class="op">></span> <span class="ident">T</span>::<span class="ident">Epsilon</span> {
|
||
<span class="ident">T</span>::<span class="ident">default_max_relative</span>()
|
||
}
|
||
|
||
<span class="attribute">#[<span class="ident">inline</span>]</span>
|
||
<span class="kw">fn</span> <span class="ident">relative_eq</span>(
|
||
<span class="kw-2">&</span><span class="self">self</span>,
|
||
<span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">Complex</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>,
|
||
<span class="ident">epsilon</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>,
|
||
<span class="ident">max_relative</span>: <span class="ident">T</span>::<span class="ident">Epsilon</span>,
|
||
) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
|
||
<span class="ident">T</span>::<span class="ident">relative_eq</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">re</span>, <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">re</span>, <span class="ident">epsilon</span>.<span class="ident">clone</span>(), <span class="ident">max_relative</span>.<span class="ident">clone</span>())
|
||
<span class="kw-2">&</span><span class="op">&</span> <span class="ident">T</span>::<span class="ident">relative_eq</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">im</span>, <span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">im</span>, <span class="ident">epsilon</span>.<span class="ident">clone</span>(), <span class="ident">max_relative</span>.<span class="ident">clone</span>())
|
||
}
|
||
}
|
||
</pre></div>
|
||
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