| <!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/git/checkouts/rulinalg-309246e5a94bf5cf/1ed8b93/src/macros/assert_matrix_eq.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>assert_matrix_eq.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="../../../rulinalg/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="../../../rulinalg/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> |
| <span id="348">348</span> |
| <span id="349">349</span> |
| <span id="350">350</span> |
| <span id="351">351</span> |
| <span id="352">352</span> |
| <span id="353">353</span> |
| <span id="354">354</span> |
| <span id="355">355</span> |
| <span id="356">356</span> |
| <span id="357">357</span> |
| <span id="358">358</span> |
| <span id="359">359</span> |
| <span id="360">360</span> |
| <span id="361">361</span> |
| <span id="362">362</span> |
| <span id="363">363</span> |
| <span id="364">364</span> |
| <span id="365">365</span> |
| <span id="366">366</span> |
| <span id="367">367</span> |
| <span id="368">368</span> |
| <span id="369">369</span> |
| <span id="370">370</span> |
| <span id="371">371</span> |
| <span id="372">372</span> |
| <span id="373">373</span> |
| <span id="374">374</span> |
| <span id="375">375</span> |
| <span id="376">376</span> |
| <span id="377">377</span> |
| <span id="378">378</span> |
| <span id="379">379</span> |
| <span id="380">380</span> |
| <span id="381">381</span> |
| <span id="382">382</span> |
| <span id="383">383</span> |
| <span id="384">384</span> |
| <span id="385">385</span> |
| <span id="386">386</span> |
| <span id="387">387</span> |
| <span id="388">388</span> |
| <span id="389">389</span> |
| <span id="390">390</span> |
| <span id="391">391</span> |
| <span id="392">392</span> |
| <span id="393">393</span> |
| <span id="394">394</span> |
| <span id="395">395</span> |
| <span id="396">396</span> |
| <span id="397">397</span> |
| <span id="398">398</span> |
| <span id="399">399</span> |
| <span id="400">400</span> |
| <span id="401">401</span> |
| <span id="402">402</span> |
| <span id="403">403</span> |
| <span id="404">404</span> |
| <span id="405">405</span> |
| <span id="406">406</span> |
| <span id="407">407</span> |
| <span id="408">408</span> |
| <span id="409">409</span> |
| <span id="410">410</span> |
| <span id="411">411</span> |
| <span id="412">412</span> |
| <span id="413">413</span> |
| <span id="414">414</span> |
| <span id="415">415</span> |
| <span id="416">416</span> |
| <span id="417">417</span> |
| <span id="418">418</span> |
| <span id="419">419</span> |
| <span id="420">420</span> |
| <span id="421">421</span> |
| <span id="422">422</span> |
| <span id="423">423</span> |
| <span id="424">424</span> |
| <span id="425">425</span> |
| <span id="426">426</span> |
| <span id="427">427</span> |
| <span id="428">428</span> |
| <span id="429">429</span> |
| <span id="430">430</span> |
| <span id="431">431</span> |
| <span id="432">432</span> |
| <span id="433">433</span> |
| <span id="434">434</span> |
| <span id="435">435</span> |
| <span id="436">436</span> |
| <span id="437">437</span> |
| <span id="438">438</span> |
| <span id="439">439</span> |
| <span id="440">440</span> |
| <span id="441">441</span> |
| <span id="442">442</span> |
| <span id="443">443</span> |
| <span id="444">444</span> |
| <span id="445">445</span> |
| <span id="446">446</span> |
| <span id="447">447</span> |
| <span id="448">448</span> |
| <span id="449">449</span> |
| <span id="450">450</span> |
| <span id="451">451</span> |
| <span id="452">452</span> |
| <span id="453">453</span> |
| <span id="454">454</span> |
| <span id="455">455</span> |
| <span id="456">456</span> |
| <span id="457">457</span> |
| <span id="458">458</span> |
| <span id="459">459</span> |
| <span id="460">460</span> |
| <span id="461">461</span> |
| <span id="462">462</span> |
| <span id="463">463</span> |
| <span id="464">464</span> |
| <span id="465">465</span> |
| <span id="466">466</span> |
| <span id="467">467</span> |
| <span id="468">468</span> |
| <span id="469">469</span> |
| <span id="470">470</span> |
| <span id="471">471</span> |
| <span id="472">472</span> |
| <span id="473">473</span> |
| <span id="474">474</span> |
| <span id="475">475</span> |
| <span id="476">476</span> |
| <span id="477">477</span> |
| <span id="478">478</span> |
| <span id="479">479</span> |
| <span id="480">480</span> |
| <span id="481">481</span> |
| <span id="482">482</span> |
| <span id="483">483</span> |
| <span id="484">484</span> |
| <span id="485">485</span> |
| <span id="486">486</span> |
| <span id="487">487</span> |
| <span id="488">488</span> |
| <span id="489">489</span> |
| <span id="490">490</span> |
| <span id="491">491</span> |
| <span id="492">492</span> |
| <span id="493">493</span> |
| <span id="494">494</span> |
| <span id="495">495</span> |
| <span id="496">496</span> |
| <span id="497">497</span> |
| <span id="498">498</span> |
| <span id="499">499</span> |
| <span id="500">500</span> |
| <span id="501">501</span> |
| <span id="502">502</span> |
| <span id="503">503</span> |
| <span id="504">504</span> |
| <span id="505">505</span> |
| <span id="506">506</span> |
| <span id="507">507</span> |
| <span id="508">508</span> |
| <span id="509">509</span> |
| <span id="510">510</span> |
| <span id="511">511</span> |
| <span id="512">512</span> |
| <span id="513">513</span> |
| <span id="514">514</span> |
| <span id="515">515</span> |
| <span id="516">516</span> |
| <span id="517">517</span> |
| <span id="518">518</span> |
| <span id="519">519</span> |
| <span id="520">520</span> |
| <span id="521">521</span> |
| <span id="522">522</span> |
| <span id="523">523</span> |
| <span id="524">524</span> |
| <span id="525">525</span> |
| <span id="526">526</span> |
| <span id="527">527</span> |
| <span id="528">528</span> |
| <span id="529">529</span> |
| <span id="530">530</span> |
| <span id="531">531</span> |
| <span id="532">532</span> |
| <span id="533">533</span> |
| <span id="534">534</span> |
| <span id="535">535</span> |
| <span id="536">536</span> |
| <span id="537">537</span> |
| <span id="538">538</span> |
| <span id="539">539</span> |
| <span id="540">540</span> |
| <span id="541">541</span> |
| <span id="542">542</span> |
| <span id="543">543</span> |
| <span id="544">544</span> |
| <span id="545">545</span> |
| <span id="546">546</span> |
| <span id="547">547</span> |
| <span id="548">548</span> |
| <span id="549">549</span> |
| <span id="550">550</span> |
| <span id="551">551</span> |
| <span id="552">552</span> |
| <span id="553">553</span> |
| <span id="554">554</span> |
| <span id="555">555</span> |
| <span id="556">556</span> |
| <span id="557">557</span> |
| <span id="558">558</span> |
| <span id="559">559</span> |
| <span id="560">560</span> |
| <span id="561">561</span> |
| <span id="562">562</span> |
| <span id="563">563</span> |
| <span id="564">564</span> |
| <span id="565">565</span> |
| <span id="566">566</span> |
| <span id="567">567</span> |
| <span id="568">568</span> |
| <span id="569">569</span> |
| <span id="570">570</span> |
| <span id="571">571</span> |
| <span id="572">572</span> |
| <span id="573">573</span> |
| <span id="574">574</span> |
| <span id="575">575</span> |
| <span id="576">576</span> |
| <span id="577">577</span> |
| <span id="578">578</span> |
| <span id="579">579</span> |
| <span id="580">580</span> |
| <span id="581">581</span> |
| <span id="582">582</span> |
| <span id="583">583</span> |
| <span id="584">584</span> |
| <span id="585">585</span> |
| <span id="586">586</span> |
| <span id="587">587</span> |
| <span id="588">588</span> |
| <span id="589">589</span> |
| <span id="590">590</span> |
| <span id="591">591</span> |
| <span id="592">592</span> |
| <span id="593">593</span> |
| <span id="594">594</span> |
| <span id="595">595</span> |
| <span id="596">596</span> |
| <span id="597">597</span> |
| <span id="598">598</span> |
| <span id="599">599</span> |
| <span id="600">600</span> |
| <span id="601">601</span> |
| <span id="602">602</span> |
| <span id="603">603</span> |
| <span id="604">604</span> |
| <span id="605">605</span> |
| <span id="606">606</span> |
| <span id="607">607</span> |
| <span id="608">608</span> |
| <span id="609">609</span> |
| <span id="610">610</span> |
| <span id="611">611</span> |
| <span id="612">612</span> |
| <span id="613">613</span> |
| <span id="614">614</span> |
| <span id="615">615</span> |
| <span id="616">616</span> |
| <span id="617">617</span> |
| <span id="618">618</span> |
| <span id="619">619</span> |
| <span id="620">620</span> |
| <span id="621">621</span> |
| <span id="622">622</span> |
| <span id="623">623</span> |
| <span id="624">624</span> |
| <span id="625">625</span> |
| <span id="626">626</span> |
| <span id="627">627</span> |
| <span id="628">628</span> |
| <span id="629">629</span> |
| <span id="630">630</span> |
| <span id="631">631</span> |
| <span id="632">632</span> |
| <span id="633">633</span> |
| <span id="634">634</span> |
| <span id="635">635</span> |
| <span id="636">636</span> |
| <span id="637">637</span> |
| <span id="638">638</span> |
| <span id="639">639</span> |
| <span id="640">640</span> |
| <span id="641">641</span> |
| <span id="642">642</span> |
| <span id="643">643</span> |
| <span id="644">644</span> |
| <span id="645">645</span> |
| <span id="646">646</span> |
| <span id="647">647</span> |
| <span id="648">648</span> |
| <span id="649">649</span> |
| <span id="650">650</span> |
| <span id="651">651</span> |
| <span id="652">652</span> |
| <span id="653">653</span> |
| <span id="654">654</span> |
| <span id="655">655</span> |
| <span id="656">656</span> |
| <span id="657">657</span> |
| <span id="658">658</span> |
| <span id="659">659</span> |
| <span id="660">660</span> |
| <span id="661">661</span> |
| <span id="662">662</span> |
| <span id="663">663</span> |
| <span id="664">664</span> |
| <span id="665">665</span> |
| <span id="666">666</span> |
| <span id="667">667</span> |
| <span id="668">668</span> |
| <span id="669">669</span> |
| <span id="670">670</span> |
| <span id="671">671</span> |
| <span id="672">672</span> |
| <span id="673">673</span> |
| <span id="674">674</span> |
| <span id="675">675</span> |
| <span id="676">676</span> |
| <span id="677">677</span> |
| <span id="678">678</span> |
| <span id="679">679</span> |
| <span id="680">680</span> |
| <span id="681">681</span> |
| <span id="682">682</span> |
| <span id="683">683</span> |
| <span id="684">684</span> |
| <span id="685">685</span> |
| <span id="686">686</span> |
| <span id="687">687</span> |
| <span id="688">688</span> |
| <span id="689">689</span> |
| <span id="690">690</span> |
| <span id="691">691</span> |
| <span id="692">692</span> |
| </pre><pre class="rust"><code><span class="kw">use </span>matrix::BaseMatrix; |
| |
| <span class="kw">use </span>std::fmt; |
| |
| <span class="kw">use </span>macros::ElementwiseComparator; |
| |
| <span class="kw">use </span>macros::comparison::ComparisonFailure; |
| |
| <span class="kw">const </span>MAX_MISMATCH_REPORTS: usize = <span class="number">12</span>; |
| |
| <span class="attribute">#[doc(hidden)] |
| #[derive(Debug, Copy, Clone, PartialEq)] |
| </span><span class="kw">pub struct </span>MatrixElementComparisonFailure<T, E> <span class="kw">where </span>E: ComparisonFailure { |
| <span class="kw">pub </span>x: T, |
| <span class="kw">pub </span>y: T, |
| <span class="kw">pub </span>error: E, |
| <span class="kw">pub </span>row: usize, |
| <span class="kw">pub </span>col: usize |
| } |
| |
| <span class="kw">impl</span><T, E> fmt::Display <span class="kw">for </span>MatrixElementComparisonFailure<T, E> |
| <span class="kw">where </span>T: fmt::Display, |
| E: ComparisonFailure { |
| <span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter) -> fmt::Result { |
| <span class="macro">write!</span>(f, |
| <span class="string">"({i}, {j}): x = {x}, y = {y}.{reason}"</span>, |
| i = <span class="self">self</span>.row, |
| j = <span class="self">self</span>.col, |
| x = <span class="self">self</span>.x, |
| y = <span class="self">self</span>.y, |
| reason = <span class="self">self</span>.error.failure_reason() |
| <span class="comment">// Add a space before the reason |
| </span>.map(|s| <span class="macro">format!</span>(<span class="string">" {}"</span>, s)) |
| .unwrap_or(String::new())) |
| } |
| } |
| |
| <span class="attribute">#[doc(hidden)] |
| #[derive(Debug, PartialEq)] |
| </span><span class="kw">pub enum </span>MatrixComparisonResult<T, C, E> |
| <span class="kw">where </span>T: Copy, |
| C: ElementwiseComparator<T, E>, |
| E: ComparisonFailure { |
| Match, |
| MismatchedDimensions { dim_x: (usize, usize), dim_y: (usize, usize) }, |
| MismatchedElements { comparator: C, mismatches: Vec<MatrixElementComparisonFailure<T, E>> } |
| } |
| |
| <span class="kw">impl</span><T, C, E> MatrixComparisonResult<T, C, E> |
| <span class="kw">where </span>T: Copy + fmt::Display, |
| C: ElementwiseComparator<T, E>, |
| E: ComparisonFailure { |
| <span class="kw">pub fn </span>panic_message(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><String> { |
| |
| <span class="kw">match </span><span class="self">self </span>{ |
| <span class="kw-2">&</span>MatrixComparisonResult::MismatchedElements { <span class="kw-2">ref </span>comparator, <span class="kw-2">ref </span>mismatches } => { |
| <span class="comment">// TODO: Aligned output |
| </span><span class="kw">let </span><span class="kw-2">mut </span>formatted_mismatches = String::new(); |
| |
| <span class="kw">let </span>mismatches_overflow = mismatches.len() > MAX_MISMATCH_REPORTS; |
| <span class="kw">let </span>overflow_msg = <span class="kw">if </span>mismatches_overflow { |
| <span class="kw">let </span>num_hidden_entries = mismatches.len() - MAX_MISMATCH_REPORTS; |
| <span class="macro">format!</span>(<span class="string">" ... ({} mismatching elements not shown)\n"</span>, num_hidden_entries) |
| } <span class="kw">else </span>{ |
| String::new() |
| }; |
| |
| <span class="kw">for </span>mismatch <span class="kw">in </span>mismatches.iter().take(MAX_MISMATCH_REPORTS) { |
| formatted_mismatches.push_str(<span class="string">" "</span>); |
| formatted_mismatches.push_str(<span class="kw-2">&</span>mismatch.to_string()); |
| formatted_mismatches.push_str(<span class="string">"\n"</span>); |
| } |
| |
| <span class="comment">// Strip off the last newline from the above |
| </span>formatted_mismatches = formatted_mismatches.trim_right().to_string(); |
| |
| <span class="prelude-val">Some</span>(<span class="macro">format!</span>(<span class="string">"\n |
| Matrices X and Y have {num} mismatched element pairs. |
| The mismatched elements are listed below, in the format |
| (row, col): x = X[[row, col]], y = Y[[row, col]]. |
| |
| {mismatches} |
| {overflow_msg} |
| Comparison criterion: {description} |
| \n"</span>, |
| num = mismatches.len(), |
| description = comparator.description(), |
| mismatches = formatted_mismatches, |
| overflow_msg = overflow_msg)) |
| }, |
| <span class="kw-2">&</span>MatrixComparisonResult::MismatchedDimensions { dim_x, dim_y } => { |
| <span class="prelude-val">Some</span>(<span class="macro">format!</span>(<span class="string">"\n |
| Dimensions of matrices X and Y do not match. |
| dim(X) = {x_rows} x {x_cols} |
| dim(Y) = {y_rows} x {y_cols} |
| \n"</span>, |
| x_rows = dim_x.<span class="number">0</span>, x_cols = dim_x.<span class="number">1</span>, |
| y_rows = dim_y.<span class="number">0</span>, y_cols = dim_y.<span class="number">1</span>)) |
| }, |
| <span class="kw">_ </span>=> <span class="prelude-val">None |
| </span>} |
| } |
| } |
| |
| <span class="attribute">#[doc(hidden)] |
| </span><span class="kw">pub fn </span>elementwise_matrix_comparison<T, M, C, E>(x: <span class="kw-2">&</span>M, y: <span class="kw-2">&</span>M, comparator: C) |
| -> MatrixComparisonResult<T, C, E> |
| <span class="kw">where </span>M: BaseMatrix<T>, T: Copy, C: ElementwiseComparator<T, E>, E: ComparisonFailure { |
| <span class="kw">if </span>x.rows() == y.rows() && x.cols() == y.cols() { |
| <span class="kw">let </span>mismatches = { |
| <span class="kw">let </span><span class="kw-2">mut </span>mismatches = Vec::new(); |
| <span class="kw">let </span>x = x.as_slice(); |
| <span class="kw">let </span>y = y.as_slice(); |
| <span class="kw">for </span>i <span class="kw">in </span><span class="number">0 </span>.. x.rows() { |
| <span class="kw">for </span>j <span class="kw">in </span><span class="number">0 </span>.. x.cols() { |
| <span class="kw">let </span>a = x[[i, j]].to_owned(); |
| <span class="kw">let </span>b = y[[i, j]].to_owned(); |
| <span class="kw">if let </span><span class="prelude-val">Err</span>(error) = comparator.compare(a, b) { |
| mismatches.push(MatrixElementComparisonFailure { |
| x: a, |
| y: b, |
| error: error, |
| row: i, |
| col: j |
| }); |
| } |
| } |
| } |
| mismatches |
| }; |
| |
| <span class="kw">if </span>mismatches.is_empty() { |
| MatrixComparisonResult::Match |
| } <span class="kw">else </span>{ |
| MatrixComparisonResult::MismatchedElements { |
| comparator: comparator, |
| mismatches: mismatches |
| } |
| } |
| } <span class="kw">else </span>{ |
| MatrixComparisonResult::MismatchedDimensions { |
| dim_x: (x.rows(), x.cols()), |
| dim_y: (y.rows(), y.cols()) |
| } |
| } |
| } |
| |
| <span class="doccomment">/// Compare matrices for exact or approximate equality. |
| /// |
| /// The `assert_matrix_eq!` simplifies the comparison of two matrices by |
| /// providing the following features: |
| /// |
| /// - Verifies that the dimensions of the matrices match. |
| /// - Offers both exact and approximate comparison of individual elements. |
| /// - Multiple types of comparators available, depending on the needs of the user. |
| /// - Built-in error reporting makes it easy to determine which elements of the two matrices |
| /// that do not compare equal. |
| /// |
| /// # Usage |
| /// Given two matrices `x` and `y`, the default invocation performs an exact elementwise |
| /// comparison of the two matrices. |
| /// |
| /// ``` |
| /// # #[macro_use] extern crate rulinalg; fn main() { let x = matrix![1.0f64]; let y = matrix![1.0f64]; |
| /// // Performs elementwise exact comparison |
| /// assert_matrix_eq!(x, y); |
| /// # } |
| /// ``` |
| /// |
| /// An exact comparison is often not desirable. In particular, with floating point types, |
| /// rounding errors or other sources of inaccuracies tend to complicate the matter. |
| /// For this purpose, `assert_matrix_eq!` provides several comparators. |
| /// |
| /// ``` |
| /// # #[macro_use] extern crate rulinalg; fn main() { |
| /// # let x = matrix![1.0f64]; let y = matrix![1.0f64]; |
| /// // Available comparators: |
| /// assert_matrix_eq!(x, y, comp = exact); |
| /// assert_matrix_eq!(x, y, comp = float); |
| /// assert_matrix_eq!(x, y, comp = abs, tol = 1e-12); |
| /// assert_matrix_eq!(x, y, comp = ulp, tol = 8); |
| /// # } |
| /// ``` |
| /// **Note**: The `comp` argument *must* be specified after `x` and `y`, and cannot come |
| /// after comparator-specific options. This is a deliberate design decision, |
| /// with the rationale that assertions should look as uniform as possible for |
| /// the sake of readability. |
| /// |
| /// |
| /// ### The `exact` comparator |
| /// This comparator simply uses the default `==` operator to compare each pair of elements. |
| /// The default comparator delegates the comparison to the `exact` comparator. |
| /// |
| /// ### The `float` comparator |
| /// The `float` comparator is designed to be a conservative default for comparing floating-point numbers. |
| /// It is inspired by the `AlmostEqualUlpsAndAbs` comparison function proposed in the excellent blog post |
| /// [Comparing Floating Point Numbers, 2012 Edition] |
| /// (https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/) |
| /// by Bruce Dawson. |
| /// |
| /// If you expect the two matrices to be almost exactly the same, but you want to leave some |
| /// room for (very small) rounding errors, then this comparator should be your default choice. |
| /// |
| /// The comparison criterion can be summarized as follows: |
| /// |
| /// 1. If `assert_matrix_eq!(x, y, comp = abs, tol = max_eps)` holds for `max_eps` close to the |
| /// machine epsilon for the floating point type, |
| /// then the comparison is successful. |
| /// 2. Otherwise, returns the result of `assert_matrix_eq!(x, y, comp = ulp, tol = max_ulp)`, |
| /// where `max_ulp` is a small positive integer constant. |
| /// |
| /// The `max_eps` and `max_ulp` parameters can be tweaked to your preference with the syntax: |
| /// |
| /// ``` |
| /// # #[macro_use] extern crate rulinalg; fn main() { |
| /// # let x = matrix![1.0f64]; let y = matrix![1.0f64]; |
| /// # let max_eps = 1.0; let max_ulp = 0; |
| /// assert_matrix_eq!(x, y, comp = float, eps = max_eps, ulp = max_ulp); |
| /// # } |
| /// ``` |
| /// |
| /// These additional parameters can be specified in any order after the choice of comparator, |
| /// and do not both need to be present. |
| /// |
| /// ### The `abs` comparator |
| /// Compares the absolute difference between individual elements against the specified tolerance. |
| /// Specifically, for every pair of elements x and y picked from the same row and column in X and Y |
| /// respectively, the criterion is defined by |
| /// |
| /// ```text |
| /// | x - y | <= tol. |
| /// ``` |
| /// |
| /// In addition to floating point numbers, the comparator can also be used for integral numbers, |
| /// both signed and unsigned. In order to avoid unsigned underflow, the difference is always |
| /// computed by subtracting the smaller number from the larger number. |
| /// Note that the type of `tol` is required to be the same as that of the scalar field. |
| /// |
| /// |
| /// ### The `ulp` comparator |
| /// Elementwise comparison of floating point numbers based on their |
| /// [ULP](https://en.wikipedia.org/wiki/Unit_in_the_last_place) difference. |
| /// Once again, this is inspired by the proposals |
| /// [in the aforementioned blog post by Bruce Dawon] |
| /// (https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/), |
| /// but it handles some cases explicitly as to provide better error reporting. |
| /// |
| /// Note that the ULP difference of two floating point numbers is not defined in the following cases: |
| /// |
| /// - The two numbers have different signs. The only exception here is +0 and -0, |
| /// which are considered an exact match. |
| /// - One of the numbers is NaN. |
| /// |
| /// ULP-based comparison is typically used when two numbers are expected to be very, |
| /// very close to each other. However, it is typically not very useful very close to zero, |
| /// which is discussed in the linked blog post above. |
| /// The error in many mathematical functions can often be bounded by a certain number of ULP, and so |
| /// this comparator is particularly useful if this number is known. |
| /// |
| /// Note that the scalar type of the matrix must implement the [Ulp trait](ulp/trait.Ulp.html) in order |
| /// to be used with this comparator. By default, `f32` and `f64` implementations are provided. |
| /// |
| /// # Error reporting |
| /// |
| /// One of the main motivations for the `assert_matrix_eq!` macro is the ability to give |
| /// useful error messages which help pinpoint the problems. For example, consider the example |
| /// |
| /// ```rust,should_panic |
| /// #[macro_use] |
| /// extern crate rulinalg; |
| /// |
| /// fn main() { |
| /// let a = matrix![1.00, 2.00; |
| /// 3.00, 4.00]; |
| /// let b = matrix![1.01, 2.00; |
| /// 3.40, 4.00]; |
| /// assert_matrix_eq!(a, b, comp = abs, tol = 1e-8); |
| /// } |
| /// ``` |
| /// |
| /// which yields the output |
| /// |
| /// ```text |
| /// Matrices X and Y have 2 mismatched element pairs. |
| /// The mismatched elements are listed below, in the format |
| /// (row, col): x = X[[row, col]], y = Y[[row, col]]. |
| /// |
| /// (0, 0): x = 1, y = 1.01. Absolute error: 0.010000000000000009. |
| /// (1, 0): x = 3, y = 3.4. Absolute error: 0.3999999999999999. |
| /// |
| /// Comparison criterion: absolute difference, |x - y| <= 0.00000001. |
| /// ``` |
| /// |
| /// # Trait bounds on elements |
| /// Each comparator has specific requirements on which traits the elements |
| /// need to implement. To discover which traits are required for each comparator, |
| /// we refer the reader to implementors of |
| /// [ElementwiseComparator](macros/trait.ElementwiseComparator.html), |
| /// which provides the underlying comparison for the various macro invocations. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// #[macro_use] |
| /// extern crate rulinalg; |
| /// use rulinalg::matrix::Matrix; |
| /// |
| /// # fn main() { |
| /// let ref a = matrix![1, 2; |
| /// 3, 4i64]; |
| /// let ref b = matrix![1, 3; |
| /// 3, 4i64]; |
| /// |
| /// let ref x = matrix![1.000, 2.000, |
| /// 3.000, 4.000f64]; |
| /// let ref y = matrix![0.999, 2.001, |
| /// 2.998, 4.000f64]; |
| /// |
| /// |
| /// // comp = abs is also applicable to integers |
| /// assert_matrix_eq!(a, b, comp = abs, tol = 1); |
| /// assert_matrix_eq!(x, y, comp = abs, tol = 0.01); |
| /// |
| /// assert_matrix_eq!(a * 2, a + a); |
| /// assert_matrix_eq!(x * 2.0, x + x, comp = float); |
| /// # } |
| /// ``` |
| </span><span class="attribute">#[macro_export] |
| </span><span class="macro">macro_rules! </span>assert_matrix_eq { |
| (<span class="macro-nonterminal">$x</span>:expr, <span class="macro-nonterminal">$y</span>:expr) => { |
| { |
| <span class="comment">// Note: The reason we take slices of both x and y is that if x or y are passed as references, |
| // we don't attempt to call elementwise_matrix_comparison with a &&BaseMatrix type (double reference), |
| // which does not work due to generics. |
| </span><span class="kw">use </span><span class="macro-nonterminal">$crate::macros</span>::{elementwise_matrix_comparison, ExactElementwiseComparator}; |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::matrix::BaseMatrix</span>; |
| <span class="kw">let </span>comp = ExactElementwiseComparator; |
| <span class="kw">let </span>msg = elementwise_matrix_comparison(<span class="kw-2">&</span><span class="macro-nonterminal">$x</span>.as_slice(), <span class="kw-2">&</span><span class="macro-nonterminal">$y</span>.as_slice(), comp).panic_message(); |
| <span class="kw">if let </span><span class="prelude-val">Some</span>(msg) = msg { |
| <span class="comment">// Note: We need the panic to incur here inside of the macro in order |
| // for the line number to be correct when using it for tests, |
| // hence we build the panic message in code, but panic here. |
| </span><span class="macro">panic!</span>(<span class="string">"{msg} |
| Please see the documentation for ways to compare matrices approximately.\n\n"</span>, |
| msg = msg.trim_right()); |
| } |
| } |
| }; |
| (<span class="macro-nonterminal">$x</span>:expr, <span class="macro-nonterminal">$y</span>:expr, comp = exact) => { |
| { |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::macros</span>::{elementwise_matrix_comparison, ExactElementwiseComparator}; |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::matrix::BaseMatrix</span>; |
| <span class="kw">let </span>comp = ExactElementwiseComparator; |
| <span class="kw">let </span>msg = elementwise_matrix_comparison(<span class="kw-2">&</span><span class="macro-nonterminal">$x</span>.as_slice(), <span class="kw-2">&</span><span class="macro-nonterminal">$y</span>.as_slice(), comp).panic_message(); |
| <span class="kw">if let </span><span class="prelude-val">Some</span>(msg) = msg { |
| <span class="macro">panic!</span>(msg); |
| } |
| } |
| }; |
| (<span class="macro-nonterminal">$x</span>:expr, <span class="macro-nonterminal">$y</span>:expr, comp = abs, tol = <span class="macro-nonterminal">$tol</span>:expr) => { |
| { |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::macros</span>::{elementwise_matrix_comparison, AbsoluteElementwiseComparator}; |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::matrix::BaseMatrix</span>; |
| <span class="kw">let </span>comp = AbsoluteElementwiseComparator { tol: <span class="macro-nonterminal">$tol </span>}; |
| <span class="kw">let </span>msg = elementwise_matrix_comparison(<span class="kw-2">&</span><span class="macro-nonterminal">$x</span>.as_slice(), <span class="kw-2">&</span><span class="macro-nonterminal">$y</span>.as_slice(), comp).panic_message(); |
| <span class="kw">if let </span><span class="prelude-val">Some</span>(msg) = msg { |
| <span class="macro">panic!</span>(msg); |
| } |
| } |
| }; |
| (<span class="macro-nonterminal">$x</span>:expr, <span class="macro-nonterminal">$y</span>:expr, comp = ulp, tol = <span class="macro-nonterminal">$tol</span>:expr) => { |
| { |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::macros</span>::{elementwise_matrix_comparison, UlpElementwiseComparator}; |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::matrix::BaseMatrix</span>; |
| <span class="kw">let </span>comp = UlpElementwiseComparator { tol: <span class="macro-nonterminal">$tol </span>}; |
| <span class="kw">let </span>msg = elementwise_matrix_comparison(<span class="kw-2">&</span><span class="macro-nonterminal">$x</span>.as_slice(), <span class="kw-2">&</span><span class="macro-nonterminal">$y</span>.as_slice(), comp).panic_message(); |
| <span class="kw">if let </span><span class="prelude-val">Some</span>(msg) = msg { |
| <span class="macro">panic!</span>(msg); |
| } |
| } |
| }; |
| (<span class="macro-nonterminal">$x</span>:expr, <span class="macro-nonterminal">$y</span>:expr, comp = float) => { |
| { |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::macros</span>::{elementwise_matrix_comparison, FloatElementwiseComparator}; |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::matrix::BaseMatrix</span>; |
| <span class="kw">let </span>comp = FloatElementwiseComparator::default(); |
| <span class="kw">let </span>msg = elementwise_matrix_comparison(<span class="kw-2">&</span><span class="macro-nonterminal">$x</span>.as_slice(), <span class="kw-2">&</span><span class="macro-nonterminal">$y</span>.as_slice(), comp).panic_message(); |
| <span class="kw">if let </span><span class="prelude-val">Some</span>(msg) = msg { |
| <span class="macro">panic!</span>(msg); |
| } |
| } |
| }; |
| <span class="comment">// This following allows us to optionally tweak the epsilon and ulp tolerances |
| // used in the default float comparator. |
| </span>(<span class="macro-nonterminal">$x</span>:expr, <span class="macro-nonterminal">$y</span>:expr, comp = float, $(<span class="macro-nonterminal">$key</span>:ident = <span class="macro-nonterminal">$val</span>:expr),+) => { |
| { |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::macros</span>::{elementwise_matrix_comparison, FloatElementwiseComparator}; |
| <span class="kw">use </span><span class="macro-nonterminal">$crate::matrix::BaseMatrix</span>; |
| <span class="kw">let </span>comp = FloatElementwiseComparator::default()$(.<span class="macro-nonterminal">$key</span>(<span class="macro-nonterminal">$val</span>))+; |
| <span class="kw">let </span>msg = elementwise_matrix_comparison(<span class="kw-2">&</span><span class="macro-nonterminal">$x</span>.as_slice(), <span class="kw-2">&</span><span class="macro-nonterminal">$y</span>.as_slice(), comp).panic_message(); |
| <span class="kw">if let </span><span class="prelude-val">Some</span>(msg) = msg { |
| <span class="macro">panic!</span>(msg); |
| } |
| } |
| }; |
| } |
| |
| <span class="attribute">#[cfg(test)] |
| </span><span class="kw">mod </span>tests { |
| <span class="kw">use super</span>::{ |
| elementwise_matrix_comparison, |
| MatrixComparisonResult |
| }; |
| <span class="kw">use </span>macros::comparison::{ |
| ExactElementwiseComparator, ExactError |
| }; |
| <span class="kw">use </span>matrix::Matrix; |
| <span class="kw">use </span>quickcheck::TestResult; |
| |
| <span class="macro">quickcheck! </span>{ |
| <span class="kw">fn </span>property_elementwise_comparison_incompatible_matrices_yield_dimension_mismatch( |
| m: usize, |
| n: usize, |
| p: usize, |
| q: usize) -> TestResult { |
| <span class="kw">if </span>m == p && n == q { |
| <span class="kw">return </span>TestResult::discard() |
| } |
| |
| <span class="comment">// It does not actually matter which comparator we use here, but we need to pick one |
| </span><span class="kw">let </span>comp = ExactElementwiseComparator; |
| <span class="kw">let </span><span class="kw-2">ref </span>x = Matrix::new(m, n, <span class="macro">vec!</span>[<span class="number">0</span>; m * n]); |
| <span class="kw">let </span><span class="kw-2">ref </span>y = Matrix::new(p, q, <span class="macro">vec!</span>[<span class="number">0</span>; p * q]); |
| |
| <span class="kw">let </span>expected = MatrixComparisonResult::MismatchedDimensions { dim_x: (m, n), dim_y: (p, q) }; |
| |
| TestResult::from_bool(elementwise_matrix_comparison(x, y, comp) == expected) |
| } |
| } |
| |
| <span class="macro">quickcheck! </span>{ |
| <span class="kw">fn </span>property_elementwise_comparison_matrix_matches_self(m: usize, n: usize) -> bool { |
| <span class="kw">let </span>comp = ExactElementwiseComparator; |
| <span class="kw">let </span><span class="kw-2">ref </span>x = Matrix::new(m, n, <span class="macro">vec!</span>[<span class="number">0</span>; m * n]); |
| |
| elementwise_matrix_comparison(x, x, comp) == MatrixComparisonResult::Match |
| } |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>elementwise_matrix_comparison_reports_correct_mismatches() { |
| <span class="kw">use </span><span class="kw">super</span>::MatrixComparisonResult::MismatchedElements; |
| <span class="kw">use </span><span class="kw">super</span>::MatrixElementComparisonFailure; |
| |
| <span class="kw">let </span>comp = ExactElementwiseComparator; |
| |
| { |
| <span class="comment">// Single element matrices |
| </span><span class="kw">let </span><span class="kw-2">ref </span>x = <span class="macro">matrix!</span>[<span class="number">1</span>]; |
| <span class="kw">let </span><span class="kw-2">ref </span>y = <span class="macro">matrix!</span>[<span class="number">2</span>]; |
| |
| <span class="kw">let </span>expected = MismatchedElements { |
| comparator: comp, |
| mismatches: <span class="macro">vec!</span>[MatrixElementComparisonFailure { |
| x: <span class="number">1</span>, y: <span class="number">2</span>, |
| error: ExactError, |
| row: <span class="number">0</span>, col: <span class="number">0 |
| </span>}] |
| }; |
| |
| <span class="macro">assert_eq!</span>(elementwise_matrix_comparison(x, y, comp), expected); |
| } |
| |
| { |
| <span class="comment">// Mismatch in top-left and bottom-corner elements for a short matrix |
| </span><span class="kw">let </span><span class="kw-2">ref </span>x = <span class="macro">matrix!</span>[<span class="number">0</span>, <span class="number">1</span>, <span class="number">2</span>; |
| <span class="number">3</span>, <span class="number">4</span>, <span class="number">5</span>]; |
| <span class="kw">let </span><span class="kw-2">ref </span>y = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">1</span>, <span class="number">2</span>; |
| <span class="number">3</span>, <span class="number">4</span>, <span class="number">6</span>]; |
| <span class="kw">let </span>mismatches = <span class="macro">vec!</span>[ |
| MatrixElementComparisonFailure { |
| x: <span class="number">0</span>, y: <span class="number">1</span>, |
| error: ExactError, |
| row: <span class="number">0</span>, col: <span class="number">0 |
| </span>}, |
| MatrixElementComparisonFailure { |
| x: <span class="number">5</span>, y: <span class="number">6</span>, |
| error: ExactError, |
| row: <span class="number">1</span>, col: <span class="number">2 |
| </span>} |
| ]; |
| |
| <span class="kw">let </span>expected = MismatchedElements { |
| comparator: comp, |
| mismatches: mismatches |
| }; |
| |
| <span class="macro">assert_eq!</span>(elementwise_matrix_comparison(x, y, comp), expected); |
| } |
| |
| { |
| <span class="comment">// Mismatch in top-left and bottom-corner elements for a tall matrix |
| </span><span class="kw">let </span><span class="kw-2">ref </span>x = <span class="macro">matrix!</span>[<span class="number">0</span>, <span class="number">1</span>; |
| <span class="number">2</span>, <span class="number">3</span>; |
| <span class="number">4</span>, <span class="number">5</span>]; |
| <span class="kw">let </span><span class="kw-2">ref </span>y = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">1</span>; |
| <span class="number">2</span>, <span class="number">3</span>; |
| <span class="number">4</span>, <span class="number">6</span>]; |
| <span class="kw">let </span>mismatches = <span class="macro">vec!</span>[ |
| MatrixElementComparisonFailure { |
| x: <span class="number">0</span>, y: <span class="number">1</span>, |
| error: ExactError, |
| row: <span class="number">0</span>, col: <span class="number">0 |
| </span>}, |
| MatrixElementComparisonFailure { |
| x: <span class="number">5</span>, y: <span class="number">6</span>, |
| error: ExactError, |
| row: <span class="number">2</span>, col: <span class="number">1 |
| </span>} |
| ]; |
| |
| <span class="kw">let </span>expected = MismatchedElements { |
| comparator: comp, |
| mismatches: mismatches |
| }; |
| |
| <span class="macro">assert_eq!</span>(elementwise_matrix_comparison(x, y, comp), expected); |
| } |
| |
| { |
| <span class="comment">// Check some arbitrary elements |
| </span><span class="kw">let </span><span class="kw-2">ref </span>x = <span class="macro">matrix!</span>[<span class="number">0</span>, <span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>; |
| <span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>, <span class="number">7</span>]; |
| <span class="kw">let </span><span class="kw-2">ref </span>y = <span class="macro">matrix!</span>[<span class="number">0</span>, <span class="number">1</span>, <span class="number">3</span>, <span class="number">3</span>; |
| <span class="number">4</span>, <span class="number">6</span>, <span class="number">6</span>, <span class="number">7</span>]; |
| |
| <span class="kw">let </span>mismatches = <span class="macro">vec!</span>[ |
| MatrixElementComparisonFailure { |
| x: <span class="number">2</span>, y: <span class="number">3</span>, |
| error: ExactError, |
| row: <span class="number">0</span>, col: <span class="number">2 |
| </span>}, |
| MatrixElementComparisonFailure { |
| x: <span class="number">5</span>, y: <span class="number">6</span>, |
| error: ExactError, |
| row: <span class="number">1</span>, col: <span class="number">1 |
| </span>} |
| ]; |
| |
| <span class="kw">let </span>expected = MismatchedElements { |
| comparator: comp, |
| mismatches: mismatches |
| }; |
| |
| <span class="macro">assert_eq!</span>(elementwise_matrix_comparison(x, y, comp), expected); |
| } |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_absolute_compare_self_for_integer() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>; |
| <span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = abs, tol = <span class="number">0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_absolute_compare_self_for_floating_point() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = abs, tol = <span class="number">1e-10</span>); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic] |
| </span><span class="kw">pub fn </span>matrix_eq_absolute_mismatched_dimensions() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>; |
| <span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>]; |
| <span class="kw">let </span>y = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">2</span>; |
| <span class="number">3</span>, <span class="number">4</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, y, comp = abs, tol = <span class="number">0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic] |
| </span><span class="kw">pub fn </span>matrix_eq_absolute_mismatched_floating_point_elements() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.00</span>, <span class="number">2.00</span>, <span class="number">3.00</span>; |
| <span class="number">4.00</span>, <span class="number">5.00</span>, <span class="number">6.00</span>]; |
| <span class="kw">let </span>y = <span class="macro">matrix!</span>[<span class="number">1.00</span>, <span class="number">2.01</span>, <span class="number">3.00</span>; |
| <span class="number">3.99</span>, <span class="number">5.00</span>, <span class="number">6.00</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, y, comp = abs, tol = <span class="number">1e-10</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_exact_compare_self_for_integer() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>; |
| <span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = exact); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_exact_compare_self_for_floating_point() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = exact); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_ulp_compare_self() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = ulp, tol = <span class="number">0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_default_compare_self_for_floating_point() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_default_compare_self_for_integer() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1</span>, <span class="number">2</span>, <span class="number">3</span>; |
| <span class="number">4</span>, <span class="number">5</span>, <span class="number">6</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic] |
| </span><span class="kw">pub fn </span>matrix_eq_ulp_different_signs() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="kw">let </span>y = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, -<span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, y, comp = ulp, tol = <span class="number">0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic] |
| </span><span class="kw">pub fn </span>matrix_eq_ulp_nan() { |
| <span class="kw">use </span>std::f64; |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="kw">let </span>y = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, f64::NAN; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, y, comp = ulp, tol = <span class="number">0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_float_compare_self() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = float); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_float_compare_self_with_eps() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = float, eps = <span class="number">1e-6</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_float_compare_self_with_ulp() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = float, ulp = <span class="number">12</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_float_compare_self_with_eps_and_ulp() { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">1.0</span>, <span class="number">2.0</span>, <span class="number">3.0</span>; |
| <span class="number">4.0</span>, <span class="number">5.0</span>, <span class="number">6.0</span>]; |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = float, eps = <span class="number">1e-6</span>, ulp = <span class="number">12</span>); |
| <span class="macro">assert_matrix_eq!</span>(x, x, comp = float, ulp = <span class="number">12</span>, eps = <span class="number">1e-6</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">pub fn </span>matrix_eq_pass_by_ref() |
| { |
| <span class="kw">let </span>x = <span class="macro">matrix!</span>[<span class="number">0.0f64</span>]; |
| |
| <span class="comment">// Exercise all the macro definitions and make sure that we are able to call it |
| // when the arguments are references. |
| </span><span class="macro">assert_matrix_eq!</span>(<span class="kw-2">&</span>x, <span class="kw-2">&</span>x); |
| <span class="macro">assert_matrix_eq!</span>(<span class="kw-2">&</span>x, <span class="kw-2">&</span>x, comp = exact); |
| <span class="macro">assert_matrix_eq!</span>(<span class="kw-2">&</span>x, <span class="kw-2">&</span>x, comp = abs, tol = <span class="number">0.0</span>); |
| <span class="macro">assert_matrix_eq!</span>(<span class="kw-2">&</span>x, <span class="kw-2">&</span>x, comp = ulp, tol = <span class="number">0</span>); |
| <span class="macro">assert_matrix_eq!</span>(<span class="kw-2">&</span>x, <span class="kw-2">&</span>x, comp = float); |
| <span class="macro">assert_matrix_eq!</span>(<span class="kw-2">&</span>x, <span class="kw-2">&</span>x, comp = float, eps = <span class="number">0.0</span>, ulp = <span class="number">0</span>); |
| } |
| } |
| </code></pre></div> |
| </section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-current-crate="rulinalg" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html> |
