| <!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-traits-0.2.15/src/ops/euclid.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>euclid.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_traits/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_traits/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> |
| <span id="2">2</span> |
| <span id="3">3</span> |
| <span id="4">4</span> |
| <span id="5">5</span> |
| <span id="6">6</span> |
| <span id="7">7</span> |
| <span id="8">8</span> |
| <span id="9">9</span> |
| <span id="10">10</span> |
| <span id="11">11</span> |
| <span id="12">12</span> |
| <span id="13">13</span> |
| <span id="14">14</span> |
| <span id="15">15</span> |
| <span id="16">16</span> |
| <span id="17">17</span> |
| <span id="18">18</span> |
| <span id="19">19</span> |
| <span id="20">20</span> |
| <span id="21">21</span> |
| <span id="22">22</span> |
| <span id="23">23</span> |
| <span id="24">24</span> |
| <span id="25">25</span> |
| <span id="26">26</span> |
| <span id="27">27</span> |
| <span id="28">28</span> |
| <span id="29">29</span> |
| <span id="30">30</span> |
| <span id="31">31</span> |
| <span id="32">32</span> |
| <span id="33">33</span> |
| <span id="34">34</span> |
| <span id="35">35</span> |
| <span id="36">36</span> |
| <span id="37">37</span> |
| <span id="38">38</span> |
| <span id="39">39</span> |
| <span id="40">40</span> |
| <span id="41">41</span> |
| <span id="42">42</span> |
| <span id="43">43</span> |
| <span id="44">44</span> |
| <span id="45">45</span> |
| <span id="46">46</span> |
| <span id="47">47</span> |
| <span id="48">48</span> |
| <span id="49">49</span> |
| <span id="50">50</span> |
| <span id="51">51</span> |
| <span id="52">52</span> |
| <span id="53">53</span> |
| <span id="54">54</span> |
| <span id="55">55</span> |
| <span id="56">56</span> |
| <span id="57">57</span> |
| <span id="58">58</span> |
| <span id="59">59</span> |
| <span id="60">60</span> |
| <span id="61">61</span> |
| <span id="62">62</span> |
| <span id="63">63</span> |
| <span id="64">64</span> |
| <span id="65">65</span> |
| <span id="66">66</span> |
| <span id="67">67</span> |
| <span id="68">68</span> |
| <span id="69">69</span> |
| <span id="70">70</span> |
| <span id="71">71</span> |
| <span id="72">72</span> |
| <span id="73">73</span> |
| <span id="74">74</span> |
| <span id="75">75</span> |
| <span id="76">76</span> |
| <span id="77">77</span> |
| <span id="78">78</span> |
| <span id="79">79</span> |
| <span id="80">80</span> |
| <span id="81">81</span> |
| <span id="82">82</span> |
| <span id="83">83</span> |
| <span id="84">84</span> |
| <span id="85">85</span> |
| <span id="86">86</span> |
| <span id="87">87</span> |
| <span id="88">88</span> |
| <span id="89">89</span> |
| <span id="90">90</span> |
| <span id="91">91</span> |
| <span id="92">92</span> |
| <span id="93">93</span> |
| <span id="94">94</span> |
| <span id="95">95</span> |
| <span id="96">96</span> |
| <span id="97">97</span> |
| <span id="98">98</span> |
| <span id="99">99</span> |
| <span id="100">100</span> |
| <span id="101">101</span> |
| <span id="102">102</span> |
| <span id="103">103</span> |
| <span id="104">104</span> |
| <span id="105">105</span> |
| <span id="106">106</span> |
| <span id="107">107</span> |
| <span id="108">108</span> |
| <span id="109">109</span> |
| <span id="110">110</span> |
| <span id="111">111</span> |
| <span id="112">112</span> |
| <span id="113">113</span> |
| <span id="114">114</span> |
| <span id="115">115</span> |
| <span id="116">116</span> |
| <span id="117">117</span> |
| <span id="118">118</span> |
| <span id="119">119</span> |
| <span id="120">120</span> |
| <span id="121">121</span> |
| <span id="122">122</span> |
| <span id="123">123</span> |
| <span id="124">124</span> |
| <span id="125">125</span> |
| <span id="126">126</span> |
| <span id="127">127</span> |
| <span id="128">128</span> |
| <span id="129">129</span> |
| <span id="130">130</span> |
| <span id="131">131</span> |
| <span id="132">132</span> |
| <span id="133">133</span> |
| <span id="134">134</span> |
| <span id="135">135</span> |
| <span id="136">136</span> |
| <span id="137">137</span> |
| <span id="138">138</span> |
| <span id="139">139</span> |
| <span id="140">140</span> |
| <span id="141">141</span> |
| <span id="142">142</span> |
| <span id="143">143</span> |
| <span id="144">144</span> |
| <span id="145">145</span> |
| <span id="146">146</span> |
| <span id="147">147</span> |
| <span id="148">148</span> |
| <span id="149">149</span> |
| <span id="150">150</span> |
| <span id="151">151</span> |
| <span id="152">152</span> |
| <span id="153">153</span> |
| <span id="154">154</span> |
| <span id="155">155</span> |
| <span id="156">156</span> |
| <span id="157">157</span> |
| <span id="158">158</span> |
| <span id="159">159</span> |
| <span id="160">160</span> |
| <span id="161">161</span> |
| <span id="162">162</span> |
| <span id="163">163</span> |
| <span id="164">164</span> |
| <span id="165">165</span> |
| <span id="166">166</span> |
| <span id="167">167</span> |
| <span id="168">168</span> |
| <span id="169">169</span> |
| <span id="170">170</span> |
| <span id="171">171</span> |
| <span id="172">172</span> |
| <span id="173">173</span> |
| <span id="174">174</span> |
| <span id="175">175</span> |
| <span id="176">176</span> |
| <span id="177">177</span> |
| <span id="178">178</span> |
| <span id="179">179</span> |
| <span id="180">180</span> |
| <span id="181">181</span> |
| <span id="182">182</span> |
| <span id="183">183</span> |
| <span id="184">184</span> |
| <span id="185">185</span> |
| <span id="186">186</span> |
| <span id="187">187</span> |
| <span id="188">188</span> |
| <span id="189">189</span> |
| <span id="190">190</span> |
| <span id="191">191</span> |
| <span id="192">192</span> |
| <span id="193">193</span> |
| <span id="194">194</span> |
| <span id="195">195</span> |
| <span id="196">196</span> |
| <span id="197">197</span> |
| <span id="198">198</span> |
| <span id="199">199</span> |
| <span id="200">200</span> |
| <span id="201">201</span> |
| <span id="202">202</span> |
| <span id="203">203</span> |
| <span id="204">204</span> |
| <span id="205">205</span> |
| <span id="206">206</span> |
| <span id="207">207</span> |
| <span id="208">208</span> |
| <span id="209">209</span> |
| <span id="210">210</span> |
| <span id="211">211</span> |
| <span id="212">212</span> |
| <span id="213">213</span> |
| <span id="214">214</span> |
| <span id="215">215</span> |
| <span id="216">216</span> |
| <span id="217">217</span> |
| <span id="218">218</span> |
| <span id="219">219</span> |
| <span id="220">220</span> |
| <span id="221">221</span> |
| <span id="222">222</span> |
| <span id="223">223</span> |
| <span id="224">224</span> |
| <span id="225">225</span> |
| <span id="226">226</span> |
| <span id="227">227</span> |
| <span id="228">228</span> |
| <span id="229">229</span> |
| <span id="230">230</span> |
| <span id="231">231</span> |
| <span id="232">232</span> |
| <span id="233">233</span> |
| <span id="234">234</span> |
| <span id="235">235</span> |
| <span id="236">236</span> |
| <span id="237">237</span> |
| <span id="238">238</span> |
| <span id="239">239</span> |
| <span id="240">240</span> |
| <span id="241">241</span> |
| <span id="242">242</span> |
| <span id="243">243</span> |
| <span id="244">244</span> |
| <span id="245">245</span> |
| <span id="246">246</span> |
| <span id="247">247</span> |
| <span id="248">248</span> |
| <span id="249">249</span> |
| <span id="250">250</span> |
| <span id="251">251</span> |
| <span id="252">252</span> |
| <span id="253">253</span> |
| <span id="254">254</span> |
| <span id="255">255</span> |
| <span id="256">256</span> |
| <span id="257">257</span> |
| <span id="258">258</span> |
| <span id="259">259</span> |
| <span id="260">260</span> |
| <span id="261">261</span> |
| <span id="262">262</span> |
| <span id="263">263</span> |
| <span id="264">264</span> |
| <span id="265">265</span> |
| <span id="266">266</span> |
| <span id="267">267</span> |
| <span id="268">268</span> |
| <span id="269">269</span> |
| <span id="270">270</span> |
| <span id="271">271</span> |
| <span id="272">272</span> |
| <span id="273">273</span> |
| <span id="274">274</span> |
| <span id="275">275</span> |
| <span id="276">276</span> |
| <span id="277">277</span> |
| <span id="278">278</span> |
| <span id="279">279</span> |
| <span id="280">280</span> |
| <span id="281">281</span> |
| <span id="282">282</span> |
| <span id="283">283</span> |
| <span id="284">284</span> |
| <span id="285">285</span> |
| <span id="286">286</span> |
| <span id="287">287</span> |
| <span id="288">288</span> |
| <span id="289">289</span> |
| <span id="290">290</span> |
| <span id="291">291</span> |
| <span id="292">292</span> |
| <span id="293">293</span> |
| <span id="294">294</span> |
| <span id="295">295</span> |
| <span id="296">296</span> |
| <span id="297">297</span> |
| <span id="298">298</span> |
| <span id="299">299</span> |
| <span id="300">300</span> |
| <span id="301">301</span> |
| <span id="302">302</span> |
| <span id="303">303</span> |
| <span id="304">304</span> |
| <span id="305">305</span> |
| <span id="306">306</span> |
| <span id="307">307</span> |
| <span id="308">308</span> |
| <span id="309">309</span> |
| <span id="310">310</span> |
| <span id="311">311</span> |
| <span id="312">312</span> |
| <span id="313">313</span> |
| <span id="314">314</span> |
| <span id="315">315</span> |
| <span id="316">316</span> |
| <span id="317">317</span> |
| <span id="318">318</span> |
| <span id="319">319</span> |
| <span id="320">320</span> |
| <span id="321">321</span> |
| <span id="322">322</span> |
| <span id="323">323</span> |
| <span id="324">324</span> |
| <span id="325">325</span> |
| <span id="326">326</span> |
| <span id="327">327</span> |
| <span id="328">328</span> |
| <span id="329">329</span> |
| <span id="330">330</span> |
| <span id="331">331</span> |
| <span id="332">332</span> |
| <span id="333">333</span> |
| <span id="334">334</span> |
| <span id="335">335</span> |
| <span id="336">336</span> |
| <span id="337">337</span> |
| <span id="338">338</span> |
| <span id="339">339</span> |
| <span id="340">340</span> |
| <span id="341">341</span> |
| <span id="342">342</span> |
| <span id="343">343</span> |
| <span id="344">344</span> |
| <span id="345">345</span> |
| <span id="346">346</span> |
| <span id="347">347</span> |
| </pre><pre class="rust"><code><span class="kw">use </span>core::ops::{Div, Rem}; |
| |
| <span class="kw">pub trait </span>Euclid: Sized + Div<<span class="self">Self</span>, Output = <span class="self">Self</span>> + Rem<<span class="self">Self</span>, Output = <span class="self">Self</span>> { |
| <span class="doccomment">/// Calculates Euclidean division, the matching method for `rem_euclid`. |
| /// |
| /// This computes the integer `n` such that |
| /// `self = n * v + self.rem_euclid(v)`. |
| /// In other words, the result is `self / v` rounded to the integer `n` |
| /// such that `self >= n * v`. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_traits::Euclid; |
| /// |
| /// let a: i32 = 7; |
| /// let b: i32 = 4; |
| /// assert_eq!(Euclid::div_euclid(&a, &b), 1); // 7 > 4 * 1 |
| /// assert_eq!(Euclid::div_euclid(&-a, &b), -2); // -7 >= 4 * -2 |
| /// assert_eq!(Euclid::div_euclid(&a, &-b), -1); // 7 >= -4 * -1 |
| /// assert_eq!(Euclid::div_euclid(&-a, &-b), 2); // -7 >= -4 * 2 |
| /// ``` |
| </span><span class="kw">fn </span>div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="self">Self</span>; |
| |
| <span class="doccomment">/// Calculates the least nonnegative remainder of `self (mod v)`. |
| /// |
| /// In particular, the return value `r` satisfies `0.0 <= r < v.abs()` in |
| /// most cases. However, due to a floating point round-off error it can |
| /// result in `r == v.abs()`, violating the mathematical definition, if |
| /// `self` is much smaller than `v.abs()` in magnitude and `self < 0.0`. |
| /// This result is not an element of the function's codomain, but it is the |
| /// closest floating point number in the real numbers and thus fulfills the |
| /// property `self == self.div_euclid(v) * v + self.rem_euclid(v)` |
| /// approximatively. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_traits::Euclid; |
| /// |
| /// let a: i32 = 7; |
| /// let b: i32 = 4; |
| /// assert_eq!(Euclid::rem_euclid(&a, &b), 3); |
| /// assert_eq!(Euclid::rem_euclid(&-a, &b), 1); |
| /// assert_eq!(Euclid::rem_euclid(&a, &-b), 3); |
| /// assert_eq!(Euclid::rem_euclid(&-a, &-b), 1); |
| /// ``` |
| </span><span class="kw">fn </span>rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="self">Self</span>; |
| } |
| |
| <span class="macro">macro_rules! </span>euclid_forward_impl { |
| ($(<span class="macro-nonterminal">$t</span>:ty)<span class="kw-2">*</span>) => {$( |
| <span class="attribute">#[cfg(has_div_euclid)] |
| </span><span class="kw">impl </span>Euclid <span class="kw">for </span><span class="macro-nonterminal">$t </span>{ |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="self">Self </span>{ |
| <<span class="macro-nonterminal">$t</span>>::div_euclid(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span>v) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="self">Self </span>{ |
| <<span class="macro-nonterminal">$t</span>>::rem_euclid(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span>v) |
| } |
| } |
| )<span class="kw-2">*</span>} |
| } |
| |
| <span class="macro">macro_rules! </span>euclid_int_impl { |
| ($(<span class="macro-nonterminal">$t</span>:ty)<span class="kw-2">*</span>) => {$( |
| <span class="macro">euclid_forward_impl!</span>(<span class="macro-nonterminal">$t</span>); |
| |
| <span class="attribute">#[cfg(not(has_div_euclid))] |
| </span><span class="kw">impl </span>Euclid <span class="kw">for </span><span class="macro-nonterminal">$t </span>{ |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="self">Self </span>{ |
| <span class="kw">let </span>q = <span class="self">self </span>/ v; |
| <span class="kw">if </span><span class="self">self </span>% v < <span class="number">0 </span>{ |
| <span class="kw">return if </span><span class="kw-2">*</span>v > <span class="number">0 </span>{ q - <span class="number">1 </span>} <span class="kw">else </span>{ q + <span class="number">1 </span>} |
| } |
| q |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="self">Self </span>{ |
| <span class="kw">let </span>r = <span class="self">self </span>% v; |
| <span class="kw">if </span>r < <span class="number">0 </span>{ |
| <span class="kw">if </span><span class="kw-2">*</span>v < <span class="number">0 </span>{ |
| r - v |
| } <span class="kw">else </span>{ |
| r + v |
| } |
| } <span class="kw">else </span>{ |
| r |
| } |
| } |
| } |
| )<span class="kw-2">*</span>} |
| } |
| |
| <span class="macro">macro_rules! </span>euclid_uint_impl { |
| ($(<span class="macro-nonterminal">$t</span>:ty)<span class="kw-2">*</span>) => {$( |
| <span class="macro">euclid_forward_impl!</span>(<span class="macro-nonterminal">$t</span>); |
| |
| <span class="attribute">#[cfg(not(has_div_euclid))] |
| </span><span class="kw">impl </span>Euclid <span class="kw">for </span><span class="macro-nonterminal">$t </span>{ |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="self">Self </span>{ |
| <span class="self">self </span>/ v |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="self">Self </span>{ |
| <span class="self">self </span>% v |
| } |
| } |
| )<span class="kw-2">*</span>} |
| } |
| |
| <span class="macro">euclid_int_impl!</span>(isize i8 i16 i32 i64); |
| <span class="macro">euclid_uint_impl!</span>(usize u8 u16 u32 u64); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">euclid_int_impl!</span>(i128); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">euclid_uint_impl!</span>(u128); |
| |
| <span class="attribute">#[cfg(all(has_div_euclid, feature = <span class="string">"std"</span>))] |
| </span><span class="macro">euclid_forward_impl!</span>(f32 f64); |
| |
| <span class="attribute">#[cfg(not(all(has_div_euclid, feature = <span class="string">"std"</span>)))] |
| </span><span class="kw">impl </span>Euclid <span class="kw">for </span>f32 { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>f32) -> f32 { |
| <span class="kw">let </span>q = <f32 <span class="kw">as </span>::float::FloatCore>::trunc(<span class="self">self </span>/ v); |
| <span class="kw">if </span><span class="self">self </span>% v < <span class="number">0.0 </span>{ |
| <span class="kw">return if </span><span class="kw-2">*</span>v > <span class="number">0.0 </span>{ q - <span class="number">1.0 </span>} <span class="kw">else </span>{ q + <span class="number">1.0 </span>}; |
| } |
| q |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>f32) -> f32 { |
| <span class="kw">let </span>r = <span class="self">self </span>% v; |
| <span class="kw">if </span>r < <span class="number">0.0 </span>{ |
| r + <f32 <span class="kw">as </span>::float::FloatCore>::abs(<span class="kw-2">*</span>v) |
| } <span class="kw">else </span>{ |
| r |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(not(all(has_div_euclid, feature = <span class="string">"std"</span>)))] |
| </span><span class="kw">impl </span>Euclid <span class="kw">for </span>f64 { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>f64) -> f64 { |
| <span class="kw">let </span>q = <f64 <span class="kw">as </span>::float::FloatCore>::trunc(<span class="self">self </span>/ v); |
| <span class="kw">if </span><span class="self">self </span>% v < <span class="number">0.0 </span>{ |
| <span class="kw">return if </span><span class="kw-2">*</span>v > <span class="number">0.0 </span>{ q - <span class="number">1.0 </span>} <span class="kw">else </span>{ q + <span class="number">1.0 </span>}; |
| } |
| q |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>f64) -> f64 { |
| <span class="kw">let </span>r = <span class="self">self </span>% v; |
| <span class="kw">if </span>r < <span class="number">0.0 </span>{ |
| r + <f64 <span class="kw">as </span>::float::FloatCore>::abs(<span class="kw-2">*</span>v) |
| } <span class="kw">else </span>{ |
| r |
| } |
| } |
| } |
| |
| <span class="kw">pub trait </span>CheckedEuclid: Euclid { |
| <span class="doccomment">/// Performs euclid division that returns `None` instead of panicking on division by zero |
| /// and instead of wrapping around on underflow and overflow. |
| </span><span class="kw">fn </span>checked_div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>>; |
| |
| <span class="doccomment">/// Finds the euclid remainder of dividing two numbers, checking for underflow, overflow and |
| /// division by zero. If any of that happens, `None` is returned. |
| </span><span class="kw">fn </span>checked_rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>>; |
| } |
| |
| <span class="macro">macro_rules! </span>checked_euclid_forward_impl { |
| ($(<span class="macro-nonterminal">$t</span>:ty)<span class="kw-2">*</span>) => {$( |
| <span class="attribute">#[cfg(has_div_euclid)] |
| </span><span class="kw">impl </span>CheckedEuclid <span class="kw">for </span><span class="macro-nonterminal">$t </span>{ |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <<span class="macro-nonterminal">$t</span>>::checked_div_euclid(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span>v) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <<span class="macro-nonterminal">$t</span>>::checked_rem_euclid(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span>v) |
| } |
| } |
| )<span class="kw-2">*</span>} |
| } |
| |
| <span class="macro">macro_rules! </span>checked_euclid_int_impl { |
| ($(<span class="macro-nonterminal">$t</span>:ty)<span class="kw-2">*</span>) => {$( |
| <span class="macro">checked_euclid_forward_impl!</span>(<span class="macro-nonterminal">$t</span>); |
| |
| <span class="attribute">#[cfg(not(has_div_euclid))] |
| </span><span class="kw">impl </span>CheckedEuclid <span class="kw">for </span><span class="macro-nonterminal">$t </span>{ |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="prelude-ty">Option</span><<span class="macro-nonterminal">$t</span>> { |
| <span class="kw">if </span><span class="kw-2">*</span>v == <span class="number">0 </span>|| (<span class="kw-2">*</span><span class="self">self </span>== <span class="self">Self</span>::min_value() && <span class="kw-2">*</span>v == -<span class="number">1</span>) { |
| <span class="prelude-val">None |
| </span>} <span class="kw">else </span>{ |
| <span class="prelude-val">Some</span>(Euclid::div_euclid(<span class="self">self</span>, v)) |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="prelude-ty">Option</span><<span class="macro-nonterminal">$t</span>> { |
| <span class="kw">if </span><span class="kw-2">*</span>v == <span class="number">0 </span>|| (<span class="kw-2">*</span><span class="self">self </span>== <span class="self">Self</span>::min_value() && <span class="kw-2">*</span>v == -<span class="number">1</span>) { |
| <span class="prelude-val">None |
| </span>} <span class="kw">else </span>{ |
| <span class="prelude-val">Some</span>(Euclid::rem_euclid(<span class="self">self</span>, v)) |
| } |
| } |
| } |
| )<span class="kw-2">*</span>} |
| } |
| |
| <span class="macro">macro_rules! </span>checked_euclid_uint_impl { |
| ($(<span class="macro-nonterminal">$t</span>:ty)<span class="kw-2">*</span>) => {$( |
| <span class="macro">checked_euclid_forward_impl!</span>(<span class="macro-nonterminal">$t</span>); |
| |
| <span class="attribute">#[cfg(not(has_div_euclid))] |
| </span><span class="kw">impl </span>CheckedEuclid <span class="kw">for </span><span class="macro-nonterminal">$t </span>{ |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_div_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="prelude-ty">Option</span><<span class="macro-nonterminal">$t</span>> { |
| <span class="kw">if </span><span class="kw-2">*</span>v == <span class="number">0 </span>{ |
| <span class="prelude-val">None |
| </span>} <span class="kw">else </span>{ |
| <span class="prelude-val">Some</span>(Euclid::div_euclid(<span class="self">self</span>, v)) |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_rem_euclid(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span><span class="macro-nonterminal">$t</span>) -> <span class="prelude-ty">Option</span><<span class="macro-nonterminal">$t</span>> { |
| <span class="kw">if </span><span class="kw-2">*</span>v == <span class="number">0 </span>{ |
| <span class="prelude-val">None |
| </span>} <span class="kw">else </span>{ |
| <span class="prelude-val">Some</span>(Euclid::rem_euclid(<span class="self">self</span>, v)) |
| } |
| } |
| } |
| )<span class="kw-2">*</span>} |
| } |
| |
| <span class="macro">checked_euclid_int_impl!</span>(isize i8 i16 i32 i64); |
| <span class="macro">checked_euclid_uint_impl!</span>(usize u8 u16 u32 u64); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">checked_euclid_int_impl!</span>(i128); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">checked_euclid_uint_impl!</span>(u128); |
| |
| <span class="attribute">#[cfg(test)] |
| </span><span class="kw">mod </span>tests { |
| <span class="kw">use super</span>::<span class="kw-2">*</span>; |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>euclid_unsigned() { |
| <span class="macro">macro_rules! </span>test_euclid { |
| ($(<span class="macro-nonterminal">$t</span>:ident)+) => { |
| $( |
| { |
| <span class="kw">let </span>x: <span class="macro-nonterminal">$t </span>= <span class="number">10</span>; |
| <span class="kw">let </span>y: <span class="macro-nonterminal">$t </span>= <span class="number">3</span>; |
| <span class="macro">assert_eq!</span>(Euclid::div_euclid(<span class="kw-2">&</span>x, <span class="kw-2">&</span>y), <span class="number">3</span>); |
| <span class="macro">assert_eq!</span>(Euclid::rem_euclid(<span class="kw-2">&</span>x, <span class="kw-2">&</span>y), <span class="number">1</span>); |
| } |
| )+ |
| }; |
| } |
| |
| <span class="macro">test_euclid!</span>(usize u8 u16 u32 u64); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>euclid_signed() { |
| <span class="macro">macro_rules! </span>test_euclid { |
| ($(<span class="macro-nonterminal">$t</span>:ident)+) => { |
| $( |
| { |
| <span class="kw">let </span>x: <span class="macro-nonterminal">$t </span>= <span class="number">10</span>; |
| <span class="kw">let </span>y: <span class="macro-nonterminal">$t </span>= -<span class="number">3</span>; |
| <span class="macro">assert_eq!</span>(Euclid::div_euclid(<span class="kw-2">&</span>x, <span class="kw-2">&</span>y), -<span class="number">3</span>); |
| <span class="macro">assert_eq!</span>(Euclid::div_euclid(<span class="kw-2">&</span>-x, <span class="kw-2">&</span>y), <span class="number">4</span>); |
| <span class="macro">assert_eq!</span>(Euclid::rem_euclid(<span class="kw-2">&</span>x, <span class="kw-2">&</span>y), <span class="number">1</span>); |
| <span class="macro">assert_eq!</span>(Euclid::rem_euclid(<span class="kw-2">&</span>-x, <span class="kw-2">&</span>y), <span class="number">2</span>); |
| <span class="kw">let </span>x: <span class="macro-nonterminal">$t </span>= <span class="macro-nonterminal">$t::min_value</span>() + <span class="number">1</span>; |
| <span class="kw">let </span>y: <span class="macro-nonterminal">$t </span>= -<span class="number">1</span>; |
| <span class="macro">assert_eq!</span>(Euclid::div_euclid(<span class="kw-2">&</span>x, <span class="kw-2">&</span>y), <span class="macro-nonterminal">$t::max_value</span>()); |
| } |
| )+ |
| }; |
| } |
| |
| <span class="macro">test_euclid!</span>(isize i8 i16 i32 i64); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>euclid_float() { |
| <span class="macro">macro_rules! </span>test_euclid { |
| ($(<span class="macro-nonterminal">$t</span>:ident)+) => { |
| $( |
| { |
| <span class="kw">let </span>x: <span class="macro-nonterminal">$t </span>= <span class="number">12.1</span>; |
| <span class="kw">let </span>y: <span class="macro-nonterminal">$t </span>= <span class="number">3.2</span>; |
| <span class="macro">assert!</span>(Euclid::div_euclid(<span class="kw-2">&</span>x, <span class="kw-2">&</span>y) * y + Euclid::rem_euclid(<span class="kw-2">&</span>x, <span class="kw-2">&</span>y) - x |
| <= <span class="number">46.4 </span>* <<span class="macro-nonterminal">$t </span><span class="kw">as </span>::float::FloatCore>::epsilon()); |
| <span class="macro">assert!</span>(Euclid::div_euclid(<span class="kw-2">&</span>x, <span class="kw-2">&</span>-y) * -y + Euclid::rem_euclid(<span class="kw-2">&</span>x, <span class="kw-2">&</span>-y) - x |
| <= <span class="number">46.4 </span>* <<span class="macro-nonterminal">$t </span><span class="kw">as </span>::float::FloatCore>::epsilon()); |
| <span class="macro">assert!</span>(Euclid::div_euclid(<span class="kw-2">&</span>-x, <span class="kw-2">&</span>y) * y + Euclid::rem_euclid(<span class="kw-2">&</span>-x, <span class="kw-2">&</span>y) + x |
| <= <span class="number">46.4 </span>* <<span class="macro-nonterminal">$t </span><span class="kw">as </span>::float::FloatCore>::epsilon()); |
| <span class="macro">assert!</span>(Euclid::div_euclid(<span class="kw-2">&</span>-x, <span class="kw-2">&</span>-y) * -y + Euclid::rem_euclid(<span class="kw-2">&</span>-x, <span class="kw-2">&</span>-y) + x |
| <= <span class="number">46.4 </span>* <<span class="macro-nonterminal">$t </span><span class="kw">as </span>::float::FloatCore>::epsilon()); |
| } |
| )+ |
| }; |
| } |
| |
| <span class="macro">test_euclid!</span>(f32 f64); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>euclid_checked() { |
| <span class="macro">macro_rules! </span>test_euclid_checked { |
| ($(<span class="macro-nonterminal">$t</span>:ident)+) => { |
| $( |
| { |
| <span class="macro">assert_eq!</span>(CheckedEuclid::checked_div_euclid(<span class="kw-2">&</span><span class="macro-nonterminal">$t::min_value</span>(), <span class="kw-2">&</span>-<span class="number">1</span>), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(CheckedEuclid::checked_rem_euclid(<span class="kw-2">&</span><span class="macro-nonterminal">$t::min_value</span>(), <span class="kw-2">&</span>-<span class="number">1</span>), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(CheckedEuclid::checked_div_euclid(<span class="kw-2">&</span><span class="number">1</span>, <span class="kw-2">&</span><span class="number">0</span>), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(CheckedEuclid::checked_rem_euclid(<span class="kw-2">&</span><span class="number">1</span>, <span class="kw-2">&</span><span class="number">0</span>), <span class="prelude-val">None</span>); |
| } |
| )+ |
| }; |
| } |
| |
| <span class="macro">test_euclid_checked!</span>(isize i8 i16 i32 i64); |
| } |
| } |
| </code></pre></div> |
| </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="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html> |