<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="generator" content="rustdoc">
<meta name="description" content="Source to the Rust file `/home/jule/.cargo/registry/src/github.com-1ecc6299db9ec823/num-integer-0.1.35/src/lib.rs`.">
<meta name="keywords" content="rust, rustlang, rust-lang">
<title>lib.rs.html -- source</title>
<link rel="stylesheet" type="text/css" href="../../normalize.css">
<link rel="stylesheet" type="text/css" href="../../rustdoc.css">
<link rel="stylesheet" type="text/css" href="../../main.css">
<link rel="shortcut icon" href="https://rust-num.github.io/num/favicon.ico">
</head>
<body class="rustdoc source">
<!--[if lte IE 8]>
<div class="warning">
This old browser is unsupported and will most likely display funky
things.
</div>
<![endif]-->
<nav class="sidebar">
<a href='../../num_integer/index.html'><img src='https://rust-num.github.io/num/rust-logo-128x128-blk-v2.png' alt='logo' width='100'></a>
</nav>
<nav class="sub">
<form class="search-form js-only">
<div class="search-container">
<input class="search-input" name="search"
autocomplete="off"
placeholder="Click or press ‘S’ to search, ‘?’ for more options…"
type="search">
</div>
</form>
</nav>
<section id='main' class="content"><pre class="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>
<span id="693">693</span>
<span id="694">694</span>
<span id="695">695</span>
<span id="696">696</span>
<span id="697">697</span>
<span id="698">698</span>
<span id="699">699</span>
<span id="700">700</span>
<span id="701">701</span>
<span id="702">702</span>
<span id="703">703</span>
<span id="704">704</span>
<span id="705">705</span>
<span id="706">706</span>
<span id="707">707</span>
<span id="708">708</span>
<span id="709">709</span>
<span id="710">710</span>
<span id="711">711</span>
<span id="712">712</span>
<span id="713">713</span>
<span id="714">714</span>
<span id="715">715</span>
<span id="716">716</span>
<span id="717">717</span>
<span id="718">718</span>
<span id="719">719</span>
<span id="720">720</span>
<span id="721">721</span>
<span id="722">722</span>
<span id="723">723</span>
<span id="724">724</span>
<span id="725">725</span>
<span id="726">726</span>
<span id="727">727</span>
<span id="728">728</span>
<span id="729">729</span>
<span id="730">730</span>
<span id="731">731</span>
<span id="732">732</span>
<span id="733">733</span>
<span id="734">734</span>
<span id="735">735</span>
<span id="736">736</span>
<span id="737">737</span>
<span id="738">738</span>
<span id="739">739</span>
<span id="740">740</span>
<span id="741">741</span>
<span id="742">742</span>
<span id="743">743</span>
<span id="744">744</span>
<span id="745">745</span>
<span id="746">746</span>
<span id="747">747</span>
<span id="748">748</span>
<span id="749">749</span>
<span id="750">750</span>
<span id="751">751</span>
<span id="752">752</span>
<span id="753">753</span>
<span id="754">754</span>
<span id="755">755</span>
<span id="756">756</span>
<span id="757">757</span>
<span id="758">758</span>
<span id="759">759</span>
<span id="760">760</span>
<span id="761">761</span>
<span id="762">762</span>
<span id="763">763</span>
<span id="764">764</span>
<span id="765">765</span>
<span id="766">766</span>
<span id="767">767</span>
<span id="768">768</span>
<span id="769">769</span>
<span id="770">770</span>
<span id="771">771</span>
<span id="772">772</span>
<span id="773">773</span>
<span id="774">774</span>
<span id="775">775</span>
<span id="776">776</span>
<span id="777">777</span>
<span id="778">778</span>
<span id="779">779</span>
<span id="780">780</span>
<span id="781">781</span>
<span id="782">782</span>
<span id="783">783</span>
<span id="784">784</span>
<span id="785">785</span>
<span id="786">786</span>
<span id="787">787</span>
<span id="788">788</span>
<span id="789">789</span>
<span id="790">790</span>
<span id="791">791</span>
<span id="792">792</span>
<span id="793">793</span>
<span id="794">794</span>
<span id="795">795</span>
<span id="796">796</span>
<span id="797">797</span>
<span id="798">798</span>
<span id="799">799</span>
<span id="800">800</span>
<span id="801">801</span>
<span id="802">802</span>
<span id="803">803</span>
<span id="804">804</span>
<span id="805">805</span>
<span id="806">806</span>
<span id="807">807</span>
<span id="808">808</span>
<span id="809">809</span>
<span id="810">810</span>
<span id="811">811</span>
<span id="812">812</span>
<span id="813">813</span>
<span id="814">814</span>
<span id="815">815</span>
<span id="816">816</span>
<span id="817">817</span>
<span id="818">818</span>
<span id="819">819</span>
<span id="820">820</span>
<span id="821">821</span>
<span id="822">822</span>
<span id="823">823</span>
<span id="824">824</span>
<span id="825">825</span>
<span id="826">826</span>
<span id="827">827</span>
<span id="828">828</span>
<span id="829">829</span>
<span id="830">830</span>
<span id="831">831</span>
<span id="832">832</span>
<span id="833">833</span>
<span id="834">834</span>
<span id="835">835</span>
<span id="836">836</span>
<span id="837">837</span>
<span id="838">838</span>
<span id="839">839</span>
<span id="840">840</span>
<span id="841">841</span>
<span id="842">842</span>
<span id="843">843</span>
<span id="844">844</span>
<span id="845">845</span>
<span id="846">846</span>
<span id="847">847</span>
<span id="848">848</span>
<span id="849">849</span>
<span id="850">850</span>
<span id="851">851</span>
<span id="852">852</span>
<span id="853">853</span>
<span id="854">854</span>
<span id="855">855</span>
<span id="856">856</span>
<span id="857">857</span>
<span id="858">858</span>
<span id="859">859</span>
<span id="860">860</span>
<span id="861">861</span>
<span id="862">862</span>
<span id="863">863</span>
<span id="864">864</span>
<span id="865">865</span>
<span id="866">866</span>
<span id="867">867</span>
<span id="868">868</span>
<span id="869">869</span>
<span id="870">870</span>
<span id="871">871</span>
<span id="872">872</span>
<span id="873">873</span>
<span id="874">874</span>
<span id="875">875</span>
<span id="876">876</span>
<span id="877">877</span>
<span id="878">878</span>
<span id="879">879</span>
<span id="880">880</span>
<span id="881">881</span>
<span id="882">882</span>
<span id="883">883</span>
<span id="884">884</span>
<span id="885">885</span>
<span id="886">886</span>
<span id="887">887</span>
<span id="888">888</span>
<span id="889">889</span>
<span id="890">890</span>
<span id="891">891</span>
<span id="892">892</span>
<span id="893">893</span>
<span id="894">894</span>
<span id="895">895</span>
<span id="896">896</span>
<span id="897">897</span>
<span id="898">898</span>
<span id="899">899</span>
<span id="900">900</span>
<span id="901">901</span>
<span id="902">902</span>
<span id="903">903</span>
<span id="904">904</span>
<span id="905">905</span>
<span id="906">906</span>
<span id="907">907</span>
<span id="908">908</span>
<span id="909">909</span>
<span id="910">910</span>
<span id="911">911</span>
<span id="912">912</span>
<span id="913">913</span>
<span id="914">914</span>
<span id="915">915</span>
<span id="916">916</span>
<span id="917">917</span>
<span id="918">918</span>
<span id="919">919</span>
<span id="920">920</span>
<span id="921">921</span>
<span id="922">922</span>
<span id="923">923</span>
<span id="924">924</span>
<span id="925">925</span>
<span id="926">926</span>
<span id="927">927</span>
<span id="928">928</span>
<span id="929">929</span>
<span id="930">930</span>
<span id="931">931</span>
<span id="932">932</span>
<span id="933">933</span>
<span id="934">934</span>
<span id="935">935</span>
<span id="936">936</span>
<span id="937">937</span>
<span id="938">938</span>
<span id="939">939</span>
<span id="940">940</span>
<span id="941">941</span>
<span id="942">942</span>
<span id="943">943</span>
<span id="944">944</span>
<span id="945">945</span>
<span id="946">946</span>
<span id="947">947</span>
<span id="948">948</span>
<span id="949">949</span>
<span id="950">950</span>
<span id="951">951</span>
<span id="952">952</span>
<span id="953">953</span>
<span id="954">954</span>
<span id="955">955</span>
<span id="956">956</span>
<span id="957">957</span>
<span id="958">958</span>
<span id="959">959</span>
<span id="960">960</span>
<span id="961">961</span>
<span id="962">962</span>
<span id="963">963</span>
<span id="964">964</span>
<span id="965">965</span>
<span id="966">966</span>
<span id="967">967</span>
<span id="968">968</span>
<span id="969">969</span>
<span id="970">970</span>
<span id="971">971</span>
<span id="972">972</span>
<span id="973">973</span>
<span id="974">974</span>
<span id="975">975</span>
<span id="976">976</span>
<span id="977">977</span>
<span id="978">978</span>
<span id="979">979</span>
<span id="980">980</span>
<span id="981">981</span>
<span id="982">982</span>
<span id="983">983</span>
<span id="984">984</span>
<span id="985">985</span>
<span id="986">986</span>
<span id="987">987</span>
<span id="988">988</span>
</pre><pre class="rust ">
<span class="comment">// Copyright 2013-2014 The Rust Project Developers. See the COPYRIGHT</span>
<span class="comment">// file at the top-level directory of this distribution and at</span>
<span class="comment">// http://rust-lang.org/COPYRIGHT.</span>
<span class="comment">//</span>
<span class="comment">// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or</span>
<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license</span>
<span class="comment">// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your</span>
<span class="comment">// option. This file may not be copied, modified, or distributed</span>
<span class="comment">// except according to those terms.</span>
<span class="doccomment">//! Integer trait and functions.</span>
<span class="attribute">#<span class="op">!</span>[<span class="ident">doc</span>(<span class="ident">html_logo_url</span> <span class="op">=</span> <span class="string">"https://rust-num.github.io/num/rust-logo-128x128-blk-v2.png"</span>,
<span class="ident">html_favicon_url</span> <span class="op">=</span> <span class="string">"https://rust-num.github.io/num/favicon.ico"</span>,
<span class="ident">html_root_url</span> <span class="op">=</span> <span class="string">"https://rust-num.github.io/num/"</span>,
<span class="ident">html_playground_url</span> <span class="op">=</span> <span class="string">"http://play.integer32.com/"</span>)]</span>
<span class="kw">extern</span> <span class="kw">crate</span> <span class="ident">num_traits</span> <span class="kw">as</span> <span class="ident">traits</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ops</span>::<span class="ident">Add</span>;
<span class="kw">use</span> <span class="ident">traits</span>::{<span class="ident">Num</span>, <span class="ident">Signed</span>};
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Integer</span>: <span class="ident">Sized</span> <span class="op">+</span> <span class="ident">Num</span> <span class="op">+</span> <span class="ident">PartialOrd</span> <span class="op">+</span> <span class="ident">Ord</span> <span class="op">+</span> <span class="ident">Eq</span> {
<span class="doccomment">/// Floored integer division.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// assert!(( 8).div_floor(& 3) == 2);</span>
<span class="doccomment">/// assert!(( 8).div_floor(&-3) == -3);</span>
<span class="doccomment">/// assert!((-8).div_floor(& 3) == -3);</span>
<span class="doccomment">/// assert!((-8).div_floor(&-3) == 2);</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(( 1).div_floor(& 2) == 0);</span>
<span class="doccomment">/// assert!(( 1).div_floor(&-2) == -1);</span>
<span class="doccomment">/// assert!((-1).div_floor(& 2) == -1);</span>
<span class="doccomment">/// assert!((-1).div_floor(&-2) == 0);</span>
<span class="doccomment">/// ~~~</span>
<span class="kw">fn</span> <span class="ident">div_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
<span class="doccomment">/// Floored integer modulo, satisfying:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// # let n = 1; let d = 1;</span>
<span class="doccomment">/// assert!(n.div_floor(&d) * d + n.mod_floor(&d) == n)</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// assert!(( 8).mod_floor(& 3) == 2);</span>
<span class="doccomment">/// assert!(( 8).mod_floor(&-3) == -1);</span>
<span class="doccomment">/// assert!((-8).mod_floor(& 3) == 1);</span>
<span class="doccomment">/// assert!((-8).mod_floor(&-3) == -2);</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(( 1).mod_floor(& 2) == 1);</span>
<span class="doccomment">/// assert!(( 1).mod_floor(&-2) == -1);</span>
<span class="doccomment">/// assert!((-1).mod_floor(& 2) == 1);</span>
<span class="doccomment">/// assert!((-1).mod_floor(&-2) == -1);</span>
<span class="doccomment">/// ~~~</span>
<span class="kw">fn</span> <span class="ident">mod_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
<span class="doccomment">/// Greatest Common Divisor (GCD).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// assert_eq!(6.gcd(&8), 2);</span>
<span class="doccomment">/// assert_eq!(7.gcd(&3), 1);</span>
<span class="doccomment">/// ~~~</span>
<span class="kw">fn</span> <span class="ident">gcd</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
<span class="doccomment">/// Lowest Common Multiple (LCM).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// assert_eq!(7.lcm(&3), 21);</span>
<span class="doccomment">/// assert_eq!(2.lcm(&4), 4);</span>
<span class="doccomment">/// ~~~</span>
<span class="kw">fn</span> <span class="ident">lcm</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span>;
<span class="doccomment">/// Deprecated, use `is_multiple_of` instead.</span>
<span class="kw">fn</span> <span class="ident">divides</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="ident">bool</span>;
<span class="doccomment">/// Returns `true` if `other` is a multiple of `self`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// assert_eq!(9.is_multiple_of(&3), true);</span>
<span class="doccomment">/// assert_eq!(3.is_multiple_of(&9), false);</span>
<span class="doccomment">/// ~~~</span>
<span class="kw">fn</span> <span class="ident">is_multiple_of</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="ident">bool</span>;
<span class="doccomment">/// Returns `true` if the number is even.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// assert_eq!(3.is_even(), false);</span>
<span class="doccomment">/// assert_eq!(4.is_even(), true);</span>
<span class="doccomment">/// ~~~</span>
<span class="kw">fn</span> <span class="ident">is_even</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span>;
<span class="doccomment">/// Returns `true` if the number is odd.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// assert_eq!(3.is_odd(), true);</span>
<span class="doccomment">/// assert_eq!(4.is_odd(), false);</span>
<span class="doccomment">/// ~~~</span>
<span class="kw">fn</span> <span class="ident">is_odd</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span>;
<span class="doccomment">/// Simultaneous truncated integer division and modulus.</span>
<span class="doccomment">/// Returns `(quotient, remainder)`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// assert_eq!(( 8).div_rem( &3), ( 2, 2));</span>
<span class="doccomment">/// assert_eq!(( 8).div_rem(&-3), (-2, 2));</span>
<span class="doccomment">/// assert_eq!((-8).div_rem( &3), (-2, -2));</span>
<span class="doccomment">/// assert_eq!((-8).div_rem(&-3), ( 2, -2));</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(( 1).div_rem( &2), ( 0, 1));</span>
<span class="doccomment">/// assert_eq!(( 1).div_rem(&-2), ( 0, 1));</span>
<span class="doccomment">/// assert_eq!((-1).div_rem( &2), ( 0, -1));</span>
<span class="doccomment">/// assert_eq!((-1).div_rem(&-2), ( 0, -1));</span>
<span class="doccomment">/// ~~~</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_rem</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> (<span class="self">Self</span>, <span class="self">Self</span>);
<span class="doccomment">/// Simultaneous floored integer division and modulus.</span>
<span class="doccomment">/// Returns `(quotient, remainder)`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ~~~</span>
<span class="doccomment">/// # use num_integer::Integer;</span>
<span class="doccomment">/// assert_eq!(( 8).div_mod_floor( &3), ( 2, 2));</span>
<span class="doccomment">/// assert_eq!(( 8).div_mod_floor(&-3), (-3, -1));</span>
<span class="doccomment">/// assert_eq!((-8).div_mod_floor( &3), (-3, 1));</span>
<span class="doccomment">/// assert_eq!((-8).div_mod_floor(&-3), ( 2, -2));</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(( 1).div_mod_floor( &2), ( 0, 1));</span>
<span class="doccomment">/// assert_eq!(( 1).div_mod_floor(&-2), (-1, -1));</span>
<span class="doccomment">/// assert_eq!((-1).div_mod_floor( &2), (-1, 1));</span>
<span class="doccomment">/// assert_eq!((-1).div_mod_floor(&-2), ( 0, -1));</span>
<span class="doccomment">/// ~~~</span>
<span class="kw">fn</span> <span class="ident">div_mod_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> (<span class="self">Self</span>, <span class="self">Self</span>) {
(<span class="self">self</span>.<span class="ident">div_floor</span>(<span class="ident">other</span>), <span class="self">self</span>.<span class="ident">mod_floor</span>(<span class="ident">other</span>))
}
}
<span class="doccomment">/// Simultaneous integer division and modulus</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">div_rem</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span><span class="op">></span>(<span class="ident">x</span>: <span class="ident">T</span>, <span class="ident">y</span>: <span class="ident">T</span>) <span class="op">-></span> (<span class="ident">T</span>, <span class="ident">T</span>) {
<span class="ident">x</span>.<span class="ident">div_rem</span>(<span class="kw-2">&</span><span class="ident">y</span>)
}
<span class="doccomment">/// Floored integer division</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">div_floor</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span><span class="op">></span>(<span class="ident">x</span>: <span class="ident">T</span>, <span class="ident">y</span>: <span class="ident">T</span>) <span class="op">-></span> <span class="ident">T</span> {
<span class="ident">x</span>.<span class="ident">div_floor</span>(<span class="kw-2">&</span><span class="ident">y</span>)
}
<span class="doccomment">/// Floored integer modulus</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">mod_floor</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span><span class="op">></span>(<span class="ident">x</span>: <span class="ident">T</span>, <span class="ident">y</span>: <span class="ident">T</span>) <span class="op">-></span> <span class="ident">T</span> {
<span class="ident">x</span>.<span class="ident">mod_floor</span>(<span class="kw-2">&</span><span class="ident">y</span>)
}
<span class="doccomment">/// Simultaneous floored integer division and modulus</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">div_mod_floor</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span><span class="op">></span>(<span class="ident">x</span>: <span class="ident">T</span>, <span class="ident">y</span>: <span class="ident">T</span>) <span class="op">-></span> (<span class="ident">T</span>, <span class="ident">T</span>) {
<span class="ident">x</span>.<span class="ident">div_mod_floor</span>(<span class="kw-2">&</span><span class="ident">y</span>)
}
<span class="doccomment">/// Calculates the Greatest Common Divisor (GCD) of the number and `other`. The</span>
<span class="doccomment">/// result is always positive.</span>
<span class="attribute">#[<span class="ident">inline</span>(<span class="ident">always</span>)]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">gcd</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span><span class="op">></span>(<span class="ident">x</span>: <span class="ident">T</span>, <span class="ident">y</span>: <span class="ident">T</span>) <span class="op">-></span> <span class="ident">T</span> {
<span class="ident">x</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">y</span>)
}
<span class="doccomment">/// Calculates the Lowest Common Multiple (LCM) of the number and `other`.</span>
<span class="attribute">#[<span class="ident">inline</span>(<span class="ident">always</span>)]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">lcm</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span><span class="op">></span>(<span class="ident">x</span>: <span class="ident">T</span>, <span class="ident">y</span>: <span class="ident">T</span>) <span class="op">-></span> <span class="ident">T</span> {
<span class="ident">x</span>.<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="ident">y</span>)
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">impl_integer_for_isize</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">test_mod</span>:<span class="ident">ident</span>) <span class="op">=></span> (
<span class="kw">impl</span> <span class="ident">Integer</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span> {
<span class="doccomment">/// Floored integer division</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="comment">// Algorithm from [Daan Leijen. _Division and Modulus for Computer Scientists_,</span>
<span class="comment">// December 2001](http://research.microsoft.com/pubs/151917/divmodnote-letter.pdf)</span>
<span class="kw">match</span> <span class="self">self</span>.<span class="ident">div_rem</span>(<span class="ident">other</span>) {
(<span class="ident">d</span>, <span class="ident">r</span>) <span class="kw">if</span> (<span class="ident">r</span> <span class="op">></span> <span class="number">0</span> <span class="op">&&</span> <span class="kw-2">*</span><span class="ident">other</span> <span class="op"><</span> <span class="number">0</span>)
<span class="op">||</span> (<span class="ident">r</span> <span class="op"><</span> <span class="number">0</span> <span class="op">&&</span> <span class="kw-2">*</span><span class="ident">other</span> <span class="op">></span> <span class="number">0</span>) <span class="op">=></span> <span class="ident">d</span> <span class="op">-</span> <span class="number">1</span>,
(<span class="ident">d</span>, _) <span class="op">=></span> <span class="ident">d</span>,
}
}
<span class="doccomment">/// Floored integer modulo</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mod_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="comment">// Algorithm from [Daan Leijen. _Division and Modulus for Computer Scientists_,</span>
<span class="comment">// December 2001](http://research.microsoft.com/pubs/151917/divmodnote-letter.pdf)</span>
<span class="kw">match</span> <span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="kw-2">*</span><span class="ident">other</span> {
<span class="ident">r</span> <span class="kw">if</span> (<span class="ident">r</span> <span class="op">></span> <span class="number">0</span> <span class="op">&&</span> <span class="kw-2">*</span><span class="ident">other</span> <span class="op"><</span> <span class="number">0</span>)
<span class="op">||</span> (<span class="ident">r</span> <span class="op"><</span> <span class="number">0</span> <span class="op">&&</span> <span class="kw-2">*</span><span class="ident">other</span> <span class="op">></span> <span class="number">0</span>) <span class="op">=></span> <span class="ident">r</span> <span class="op">+</span> <span class="kw-2">*</span><span class="ident">other</span>,
<span class="ident">r</span> <span class="op">=></span> <span class="ident">r</span>,
}
}
<span class="doccomment">/// Calculates `div_floor` and `mod_floor` simultaneously</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_mod_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> (<span class="self">Self</span>, <span class="self">Self</span>) {
<span class="comment">// Algorithm from [Daan Leijen. _Division and Modulus for Computer Scientists_,</span>
<span class="comment">// December 2001](http://research.microsoft.com/pubs/151917/divmodnote-letter.pdf)</span>
<span class="kw">match</span> <span class="self">self</span>.<span class="ident">div_rem</span>(<span class="ident">other</span>) {
(<span class="ident">d</span>, <span class="ident">r</span>) <span class="kw">if</span> (<span class="ident">r</span> <span class="op">></span> <span class="number">0</span> <span class="op">&&</span> <span class="kw-2">*</span><span class="ident">other</span> <span class="op"><</span> <span class="number">0</span>)
<span class="op">||</span> (<span class="ident">r</span> <span class="op"><</span> <span class="number">0</span> <span class="op">&&</span> <span class="kw-2">*</span><span class="ident">other</span> <span class="op">></span> <span class="number">0</span>) <span class="op">=></span> (<span class="ident">d</span> <span class="op">-</span> <span class="number">1</span>, <span class="ident">r</span> <span class="op">+</span> <span class="kw-2">*</span><span class="ident">other</span>),
(<span class="ident">d</span>, <span class="ident">r</span>) <span class="op">=></span> (<span class="ident">d</span>, <span class="ident">r</span>),
}
}
<span class="doccomment">/// Calculates the Greatest Common Divisor (GCD) of the number and</span>
<span class="doccomment">/// `other`. The result is always positive.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">gcd</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="comment">// Use Stein's algorithm</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">m</span> <span class="op">=</span> <span class="kw-2">*</span><span class="self">self</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">n</span> <span class="op">=</span> <span class="kw-2">*</span><span class="ident">other</span>;
<span class="kw">if</span> <span class="ident">m</span> <span class="op">==</span> <span class="number">0</span> <span class="op">||</span> <span class="ident">n</span> <span class="op">==</span> <span class="number">0</span> { <span class="kw">return</span> (<span class="ident">m</span> <span class="op">|</span> <span class="ident">n</span>).<span class="ident">abs</span>() }
<span class="comment">// find common factors of 2</span>
<span class="kw">let</span> <span class="ident">shift</span> <span class="op">=</span> (<span class="ident">m</span> <span class="op">|</span> <span class="ident">n</span>).<span class="ident">trailing_zeros</span>();
<span class="comment">// The algorithm needs positive numbers, but the minimum value</span>
<span class="comment">// can't be represented as a positive one.</span>
<span class="comment">// It's also a power of two, so the gcd can be</span>
<span class="comment">// calculated by bitshifting in that case</span>
<span class="comment">// Assuming two's complement, the number created by the shift</span>
<span class="comment">// is positive for all numbers except gcd = abs(min value)</span>
<span class="comment">// The call to .abs() causes a panic in debug mode</span>
<span class="kw">if</span> <span class="ident">m</span> <span class="op">==</span> <span class="self">Self</span>::<span class="ident">min_value</span>() <span class="op">||</span> <span class="ident">n</span> <span class="op">==</span> <span class="self">Self</span>::<span class="ident">min_value</span>() {
<span class="kw">return</span> (<span class="number">1</span> <span class="op"><<</span> <span class="ident">shift</span>).<span class="ident">abs</span>()
}
<span class="comment">// guaranteed to be positive now, rest like unsigned algorithm</span>
<span class="ident">m</span> <span class="op">=</span> <span class="ident">m</span>.<span class="ident">abs</span>();
<span class="ident">n</span> <span class="op">=</span> <span class="ident">n</span>.<span class="ident">abs</span>();
<span class="comment">// divide n and m by 2 until odd</span>
<span class="comment">// m inside loop</span>
<span class="ident">n</span> <span class="op">>>=</span> <span class="ident">n</span>.<span class="ident">trailing_zeros</span>();
<span class="kw">while</span> <span class="ident">m</span> <span class="op">!=</span> <span class="number">0</span> {
<span class="ident">m</span> <span class="op">>>=</span> <span class="ident">m</span>.<span class="ident">trailing_zeros</span>();
<span class="kw">if</span> <span class="ident">n</span> <span class="op">></span> <span class="ident">m</span> { ::<span class="ident">std</span>::<span class="ident">mem</span>::<span class="ident">swap</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">n</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">m</span>) }
<span class="ident">m</span> <span class="op">-=</span> <span class="ident">n</span>;
}
<span class="ident">n</span> <span class="op"><<</span> <span class="ident">shift</span>
}
<span class="doccomment">/// Calculates the Lowest Common Multiple (LCM) of the number and</span>
<span class="doccomment">/// `other`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">lcm</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="comment">// should not have to recalculate abs</span>
(<span class="kw-2">*</span><span class="self">self</span> <span class="op">*</span> (<span class="kw-2">*</span><span class="ident">other</span> <span class="op">/</span> <span class="self">self</span>.<span class="ident">gcd</span>(<span class="ident">other</span>))).<span class="ident">abs</span>()
}
<span class="doccomment">/// Deprecated, use `is_multiple_of` instead.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">divides</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">is_multiple_of</span>(<span class="ident">other</span>)
}
<span class="doccomment">/// Returns `true` if the number is a multiple of `other`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_multiple_of</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="kw-2">*</span><span class="ident">other</span> <span class="op">==</span> <span class="number">0</span>
}
<span class="doccomment">/// Returns `true` if the number is divisible by `2`</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_even</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">&</span> <span class="number">1</span> <span class="op">==</span> <span class="number">0</span> }
<span class="doccomment">/// Returns `true` if the number is not divisible by `2`</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_odd</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> { <span class="op">!</span><span class="self">self</span>.<span class="ident">is_even</span>() }
<span class="doccomment">/// Simultaneous truncated integer division and modulus.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_rem</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> (<span class="self">Self</span>, <span class="self">Self</span>) {
(<span class="kw-2">*</span><span class="self">self</span> <span class="op">/</span> <span class="kw-2">*</span><span class="ident">other</span>, <span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="kw-2">*</span><span class="ident">other</span>)
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">mod</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">test_mod</span> {
<span class="kw">use</span> <span class="ident">Integer</span>;
<span class="doccomment">/// Checks that the division rule holds for:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// - `n`: numerator (dividend)</span>
<span class="doccomment">/// - `d`: denominator (divisor)</span>
<span class="doccomment">/// - `qr`: quotient and remainder</span>
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">fn</span> <span class="ident">test_division_rule</span>((<span class="ident">n</span>,<span class="ident">d</span>): (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>), (<span class="ident">q</span>,<span class="ident">r</span>): (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">d</span> <span class="op">*</span> <span class="ident">q</span> <span class="op">+</span> <span class="ident">r</span>, <span class="ident">n</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_div_rem</span>() {
<span class="kw">fn</span> <span class="ident">test_nd_dr</span>(<span class="ident">nd</span>: (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>,<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>), <span class="ident">qr</span>: (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>,<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)) {
<span class="kw">let</span> (<span class="ident">n</span>,<span class="ident">d</span>) <span class="op">=</span> <span class="ident">nd</span>;
<span class="kw">let</span> <span class="ident">separate_div_rem</span> <span class="op">=</span> (<span class="ident">n</span> <span class="op">/</span> <span class="ident">d</span>, <span class="ident">n</span> <span class="op">%</span> <span class="ident">d</span>);
<span class="kw">let</span> <span class="ident">combined_div_rem</span> <span class="op">=</span> <span class="ident">n</span>.<span class="ident">div_rem</span>(<span class="kw-2">&</span><span class="ident">d</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">separate_div_rem</span>, <span class="ident">qr</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">combined_div_rem</span>, <span class="ident">qr</span>);
<span class="ident">test_division_rule</span>(<span class="ident">nd</span>, <span class="ident">separate_div_rem</span>);
<span class="ident">test_division_rule</span>(<span class="ident">nd</span>, <span class="ident">combined_div_rem</span>);
}
<span class="ident">test_nd_dr</span>(( <span class="number">8</span>, <span class="number">3</span>), ( <span class="number">2</span>, <span class="number">2</span>));
<span class="ident">test_nd_dr</span>(( <span class="number">8</span>, <span class="op">-</span><span class="number">3</span>), (<span class="op">-</span><span class="number">2</span>, <span class="number">2</span>));
<span class="ident">test_nd_dr</span>((<span class="op">-</span><span class="number">8</span>, <span class="number">3</span>), (<span class="op">-</span><span class="number">2</span>, <span class="op">-</span><span class="number">2</span>));
<span class="ident">test_nd_dr</span>((<span class="op">-</span><span class="number">8</span>, <span class="op">-</span><span class="number">3</span>), ( <span class="number">2</span>, <span class="op">-</span><span class="number">2</span>));
<span class="ident">test_nd_dr</span>(( <span class="number">1</span>, <span class="number">2</span>), ( <span class="number">0</span>, <span class="number">1</span>));
<span class="ident">test_nd_dr</span>(( <span class="number">1</span>, <span class="op">-</span><span class="number">2</span>), ( <span class="number">0</span>, <span class="number">1</span>));
<span class="ident">test_nd_dr</span>((<span class="op">-</span><span class="number">1</span>, <span class="number">2</span>), ( <span class="number">0</span>, <span class="op">-</span><span class="number">1</span>));
<span class="ident">test_nd_dr</span>((<span class="op">-</span><span class="number">1</span>, <span class="op">-</span><span class="number">2</span>), ( <span class="number">0</span>, <span class="op">-</span><span class="number">1</span>));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_div_mod_floor</span>() {
<span class="kw">fn</span> <span class="ident">test_nd_dm</span>(<span class="ident">nd</span>: (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>,<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>), <span class="ident">dm</span>: (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>,<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)) {
<span class="kw">let</span> (<span class="ident">n</span>,<span class="ident">d</span>) <span class="op">=</span> <span class="ident">nd</span>;
<span class="kw">let</span> <span class="ident">separate_div_mod_floor</span> <span class="op">=</span> (<span class="ident">n</span>.<span class="ident">div_floor</span>(<span class="kw-2">&</span><span class="ident">d</span>), <span class="ident">n</span>.<span class="ident">mod_floor</span>(<span class="kw-2">&</span><span class="ident">d</span>));
<span class="kw">let</span> <span class="ident">combined_div_mod_floor</span> <span class="op">=</span> <span class="ident">n</span>.<span class="ident">div_mod_floor</span>(<span class="kw-2">&</span><span class="ident">d</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">separate_div_mod_floor</span>, <span class="ident">dm</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">combined_div_mod_floor</span>, <span class="ident">dm</span>);
<span class="ident">test_division_rule</span>(<span class="ident">nd</span>, <span class="ident">separate_div_mod_floor</span>);
<span class="ident">test_division_rule</span>(<span class="ident">nd</span>, <span class="ident">combined_div_mod_floor</span>);
}
<span class="ident">test_nd_dm</span>(( <span class="number">8</span>, <span class="number">3</span>), ( <span class="number">2</span>, <span class="number">2</span>));
<span class="ident">test_nd_dm</span>(( <span class="number">8</span>, <span class="op">-</span><span class="number">3</span>), (<span class="op">-</span><span class="number">3</span>, <span class="op">-</span><span class="number">1</span>));
<span class="ident">test_nd_dm</span>((<span class="op">-</span><span class="number">8</span>, <span class="number">3</span>), (<span class="op">-</span><span class="number">3</span>, <span class="number">1</span>));
<span class="ident">test_nd_dm</span>((<span class="op">-</span><span class="number">8</span>, <span class="op">-</span><span class="number">3</span>), ( <span class="number">2</span>, <span class="op">-</span><span class="number">2</span>));
<span class="ident">test_nd_dm</span>(( <span class="number">1</span>, <span class="number">2</span>), ( <span class="number">0</span>, <span class="number">1</span>));
<span class="ident">test_nd_dm</span>(( <span class="number">1</span>, <span class="op">-</span><span class="number">2</span>), (<span class="op">-</span><span class="number">1</span>, <span class="op">-</span><span class="number">1</span>));
<span class="ident">test_nd_dm</span>((<span class="op">-</span><span class="number">1</span>, <span class="number">2</span>), (<span class="op">-</span><span class="number">1</span>, <span class="number">1</span>));
<span class="ident">test_nd_dm</span>((<span class="op">-</span><span class="number">1</span>, <span class="op">-</span><span class="number">2</span>), ( <span class="number">0</span>, <span class="op">-</span><span class="number">1</span>));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_gcd</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">10</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">2</span>), <span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">10</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">3</span>), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">3</span>), <span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">3</span>), <span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">56</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">42</span>), <span class="number">14</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="op">-</span><span class="number">3</span>), <span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">6</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">3</span>), <span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">4</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="op">-</span><span class="number">2</span>), <span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_gcd_cmp_with_euclidean</span>() {
<span class="kw">fn</span> <span class="ident">euclidean_gcd</span>(<span class="kw-2">mut</span> <span class="ident">m</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>, <span class="kw-2">mut</span> <span class="ident">n</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span> {
<span class="kw">while</span> <span class="ident">m</span> <span class="op">!=</span> <span class="number">0</span> {
::<span class="ident">std</span>::<span class="ident">mem</span>::<span class="ident">swap</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">m</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">n</span>);
<span class="ident">m</span> <span class="op">%=</span> <span class="ident">n</span>;
}
<span class="ident">n</span>.<span class="ident">abs</span>()
}
<span class="comment">// gcd(-128, b) = 128 is not representable as positive value</span>
<span class="comment">// for i8</span>
<span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="op">-</span><span class="number">127</span>..<span class="number">127</span> {
<span class="kw">for</span> <span class="ident">j</span> <span class="kw">in</span> <span class="op">-</span><span class="number">127</span>..<span class="number">127</span> {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">euclidean_gcd</span>(<span class="ident">i</span>,<span class="ident">j</span>), <span class="ident">i</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">j</span>));
}
}
<span class="comment">// last value</span>
<span class="comment">// FIXME: Use inclusive ranges for above loop when implemented</span>
<span class="kw">let</span> <span class="ident">i</span> <span class="op">=</span> <span class="number">127</span>;
<span class="kw">for</span> <span class="ident">j</span> <span class="kw">in</span> <span class="op">-</span><span class="number">127</span>..<span class="number">127</span> {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">euclidean_gcd</span>(<span class="ident">i</span>,<span class="ident">j</span>), <span class="ident">i</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">j</span>));
}
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">127</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">127</span>), <span class="number">127</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_gcd_min_val</span>() {
<span class="kw">let</span> <span class="ident">min</span> <span class="op">=</span> <span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span><span class="op">></span>::<span class="ident">min_value</span>();
<span class="kw">let</span> <span class="ident">max</span> <span class="op">=</span> <span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span><span class="op">></span>::<span class="ident">max_value</span>();
<span class="kw">let</span> <span class="ident">max_pow2</span> <span class="op">=</span> <span class="ident">max</span> <span class="op">/</span> <span class="number">2</span> <span class="op">+</span> <span class="number">1</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">min</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">max</span>), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">max</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">min</span>), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">min</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">max_pow2</span>), <span class="ident">max_pow2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">max_pow2</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">min</span>), <span class="ident">max_pow2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">min</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">42</span>), <span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">42</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">min</span>), <span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="attribute">#[<span class="ident">should_panic</span>]</span>
<span class="kw">fn</span> <span class="ident">test_gcd_min_val_min_val</span>() {
<span class="kw">let</span> <span class="ident">min</span> <span class="op">=</span> <span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span><span class="op">></span>::<span class="ident">min_value</span>();
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">min</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">min</span>) <span class="op">>=</span> <span class="number">0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="attribute">#[<span class="ident">should_panic</span>]</span>
<span class="kw">fn</span> <span class="ident">test_gcd_min_val_0</span>() {
<span class="kw">let</span> <span class="ident">min</span> <span class="op">=</span> <span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span><span class="op">></span>::<span class="ident">min_value</span>();
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">min</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">0</span>) <span class="op">>=</span> <span class="number">0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="attribute">#[<span class="ident">should_panic</span>]</span>
<span class="kw">fn</span> <span class="ident">test_gcd_0_min_val</span>() {
<span class="kw">let</span> <span class="ident">min</span> <span class="op">=</span> <span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span><span class="op">></span>::<span class="ident">min_value</span>();
<span class="macro">assert</span><span class="macro">!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">min</span>) <span class="op">>=</span> <span class="number">0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_lcm</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">0</span>), <span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">1</span>), <span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">1</span>), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">1</span>), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="op">-</span><span class="number">1</span>), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="op">-</span><span class="number">1</span>), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">8</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">9</span>), <span class="number">72</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">11</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">5</span>), <span class="number">55</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_even</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">4</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">4</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">true</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_odd</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">4</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">4</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">false</span>);
}
}
)
}
<span class="macro">impl_integer_for_isize</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="ident">test_integer_i8</span>);
<span class="macro">impl_integer_for_isize</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="ident">test_integer_i16</span>);
<span class="macro">impl_integer_for_isize</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="ident">test_integer_i32</span>);
<span class="macro">impl_integer_for_isize</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="ident">test_integer_i64</span>);
<span class="macro">impl_integer_for_isize</span><span class="macro">!</span>(<span class="ident">isize</span>, <span class="ident">test_integer_isize</span>);
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">impl_integer_for_usize</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">test_mod</span>:<span class="ident">ident</span>) <span class="op">=></span> (
<span class="kw">impl</span> <span class="ident">Integer</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span> {
<span class="doccomment">/// Unsigned integer division. Returns the same result as `div` (`/`).</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">/</span> <span class="kw-2">*</span><span class="ident">other</span>
}
<span class="doccomment">/// Unsigned integer modulo operation. Returns the same result as `rem` (`%`).</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mod_floor</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="kw-2">*</span><span class="ident">other</span>
}
<span class="doccomment">/// Calculates the Greatest Common Divisor (GCD) of the number and `other`</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">gcd</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="comment">// Use Stein's algorithm</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">m</span> <span class="op">=</span> <span class="kw-2">*</span><span class="self">self</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">n</span> <span class="op">=</span> <span class="kw-2">*</span><span class="ident">other</span>;
<span class="kw">if</span> <span class="ident">m</span> <span class="op">==</span> <span class="number">0</span> <span class="op">||</span> <span class="ident">n</span> <span class="op">==</span> <span class="number">0</span> { <span class="kw">return</span> <span class="ident">m</span> <span class="op">|</span> <span class="ident">n</span> }
<span class="comment">// find common factors of 2</span>
<span class="kw">let</span> <span class="ident">shift</span> <span class="op">=</span> (<span class="ident">m</span> <span class="op">|</span> <span class="ident">n</span>).<span class="ident">trailing_zeros</span>();
<span class="comment">// divide n and m by 2 until odd</span>
<span class="comment">// m inside loop</span>
<span class="ident">n</span> <span class="op">>>=</span> <span class="ident">n</span>.<span class="ident">trailing_zeros</span>();
<span class="kw">while</span> <span class="ident">m</span> <span class="op">!=</span> <span class="number">0</span> {
<span class="ident">m</span> <span class="op">>>=</span> <span class="ident">m</span>.<span class="ident">trailing_zeros</span>();
<span class="kw">if</span> <span class="ident">n</span> <span class="op">></span> <span class="ident">m</span> { ::<span class="ident">std</span>::<span class="ident">mem</span>::<span class="ident">swap</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">n</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">m</span>) }
<span class="ident">m</span> <span class="op">-=</span> <span class="ident">n</span>;
}
<span class="ident">n</span> <span class="op"><<</span> <span class="ident">shift</span>
}
<span class="doccomment">/// Calculates the Lowest Common Multiple (LCM) of the number and `other`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">lcm</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">*</span> (<span class="kw-2">*</span><span class="ident">other</span> <span class="op">/</span> <span class="self">self</span>.<span class="ident">gcd</span>(<span class="ident">other</span>))
}
<span class="doccomment">/// Deprecated, use `is_multiple_of` instead.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">divides</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">is_multiple_of</span>(<span class="ident">other</span>)
}
<span class="doccomment">/// Returns `true` if the number is a multiple of `other`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_multiple_of</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="kw-2">*</span><span class="ident">other</span> <span class="op">==</span> <span class="number">0</span>
}
<span class="doccomment">/// Returns `true` if the number is divisible by `2`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_even</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="number">2</span> <span class="op">==</span> <span class="number">0</span>
}
<span class="doccomment">/// Returns `true` if the number is not divisible by `2`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_odd</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="op">!</span><span class="self">self</span>.<span class="ident">is_even</span>()
}
<span class="doccomment">/// Simultaneous truncated integer division and modulus.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_rem</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-></span> (<span class="self">Self</span>, <span class="self">Self</span>) {
(<span class="kw-2">*</span><span class="self">self</span> <span class="op">/</span> <span class="kw-2">*</span><span class="ident">other</span>, <span class="kw-2">*</span><span class="self">self</span> <span class="op">%</span> <span class="kw-2">*</span><span class="ident">other</span>)
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">mod</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">test_mod</span> {
<span class="kw">use</span> <span class="ident">Integer</span>;
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_div_mod_floor</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">10</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">div_floor</span>(<span class="kw-2">&</span>(<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)), <span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">10</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">mod_floor</span>(<span class="kw-2">&</span>(<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">10</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">div_mod_floor</span>(<span class="kw-2">&</span>(<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)), (<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>, <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">5</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">div_floor</span>(<span class="kw-2">&</span>(<span class="number">5</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">5</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">mod_floor</span>(<span class="kw-2">&</span>(<span class="number">5</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)), <span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">5</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">div_mod_floor</span>(<span class="kw-2">&</span>(<span class="number">5</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)), (<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>, <span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">div_floor</span>(<span class="kw-2">&</span>(<span class="number">7</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)), <span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">mod_floor</span>(<span class="kw-2">&</span>(<span class="number">7</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)), <span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">div_mod_floor</span>(<span class="kw-2">&</span>(<span class="number">7</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)), (<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>, <span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_gcd</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">10</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">2</span>), <span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">10</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">3</span>), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">3</span>), <span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">3</span>), <span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">56</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">42</span>), <span class="number">14</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_gcd_cmp_with_euclidean</span>() {
<span class="kw">fn</span> <span class="ident">euclidean_gcd</span>(<span class="kw-2">mut</span> <span class="ident">m</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>, <span class="kw-2">mut</span> <span class="ident">n</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span> {
<span class="kw">while</span> <span class="ident">m</span> <span class="op">!=</span> <span class="number">0</span> {
::<span class="ident">std</span>::<span class="ident">mem</span>::<span class="ident">swap</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">m</span>, <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">n</span>);
<span class="ident">m</span> <span class="op">%=</span> <span class="ident">n</span>;
}
<span class="ident">n</span>
}
<span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="number">0</span>..<span class="number">255</span> {
<span class="kw">for</span> <span class="ident">j</span> <span class="kw">in</span> <span class="number">0</span>..<span class="number">255</span> {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">euclidean_gcd</span>(<span class="ident">i</span>,<span class="ident">j</span>), <span class="ident">i</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">j</span>));
}
}
<span class="comment">// last value</span>
<span class="comment">// FIXME: Use inclusive ranges for above loop when implemented</span>
<span class="kw">let</span> <span class="ident">i</span> <span class="op">=</span> <span class="number">255</span>;
<span class="kw">for</span> <span class="ident">j</span> <span class="kw">in</span> <span class="number">0</span>..<span class="number">255</span> {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">euclidean_gcd</span>(<span class="ident">i</span>,<span class="ident">j</span>), <span class="ident">i</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">j</span>));
}
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">255</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="number">255</span>), <span class="number">255</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_lcm</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">0</span>), <span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">1</span>), <span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">1</span>), <span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">8</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">9</span>), <span class="number">72</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">11</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">5</span>), <span class="number">55</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">15</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="number">17</span>), <span class="number">255</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_is_multiple_of</span>() {
<span class="macro">assert</span><span class="macro">!</span>((<span class="number">6</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_multiple_of</span>(<span class="kw-2">&</span>(<span class="number">6</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)));
<span class="macro">assert</span><span class="macro">!</span>((<span class="number">6</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_multiple_of</span>(<span class="kw-2">&</span>(<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)));
<span class="macro">assert</span><span class="macro">!</span>((<span class="number">6</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_multiple_of</span>(<span class="kw-2">&</span>(<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>)));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_even</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">4</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_even</span>(), <span class="bool-val">true</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_odd</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">0</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">2</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">false</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">3</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">true</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">4</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">T</span>).<span class="ident">is_odd</span>(), <span class="bool-val">false</span>);
}
}
)
}
<span class="macro">impl_integer_for_usize</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="ident">test_integer_u8</span>);
<span class="macro">impl_integer_for_usize</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="ident">test_integer_u16</span>);
<span class="macro">impl_integer_for_usize</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="ident">test_integer_u32</span>);
<span class="macro">impl_integer_for_usize</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="ident">test_integer_u64</span>);
<span class="macro">impl_integer_for_usize</span><span class="macro">!</span>(<span class="ident">usize</span>, <span class="ident">test_integer_usize</span>);
<span class="doccomment">/// An iterator over binomial coefficients.</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">IterBinomial</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">a</span>: <span class="ident">T</span>,
<span class="ident">n</span>: <span class="ident">T</span>,
<span class="ident">k</span>: <span class="ident">T</span>,
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">IterBinomial</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Integer</span>,
{
<span class="doccomment">/// For a given n, iterate over all binomial coefficients binomial(n, k), for k=0...n.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that this might overflow, depending on `T`. For the primitive</span>
<span class="doccomment">/// integer types, the following n are the largest ones for which there will</span>
<span class="doccomment">/// be no overflow:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// type | n</span>
<span class="doccomment">/// -----|---</span>
<span class="doccomment">/// u8 | 10</span>
<span class="doccomment">/// i8 | 9</span>
<span class="doccomment">/// u16 | 18</span>
<span class="doccomment">/// i16 | 17</span>
<span class="doccomment">/// u32 | 34</span>
<span class="doccomment">/// i32 | 33</span>
<span class="doccomment">/// u64 | 67</span>
<span class="doccomment">/// i64 | 66</span>
<span class="doccomment">///</span>
<span class="doccomment">/// For larger n, `T` should be a bigint type.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">new</span>(<span class="ident">n</span>: <span class="ident">T</span>) <span class="op">-></span> <span class="ident">IterBinomial</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">IterBinomial</span> {
<span class="ident">k</span>: <span class="ident">T</span>::<span class="ident">zero</span>(), <span class="ident">a</span>: <span class="ident">T</span>::<span class="ident">one</span>(), <span class="ident">n</span>: <span class="ident">n</span>
}
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">Iterator</span> <span class="kw">for</span> <span class="ident">IterBinomial</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Clone</span>
{
<span class="kw">type</span> <span class="ident">Item</span> <span class="op">=</span> <span class="ident">T</span>;
<span class="kw">fn</span> <span class="ident">next</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>) <span class="op">-></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">k</span> <span class="op">></span> <span class="self">self</span>.<span class="ident">n</span> {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="self">self</span>.<span class="ident">a</span> <span class="op">=</span> <span class="kw">if</span> <span class="op">!</span><span class="self">self</span>.<span class="ident">k</span>.<span class="ident">is_zero</span>() {
<span class="ident">multiply_and_divide</span>(
<span class="self">self</span>.<span class="ident">a</span>.<span class="ident">clone</span>(),
<span class="self">self</span>.<span class="ident">n</span>.<span class="ident">clone</span>() <span class="op">-</span> <span class="self">self</span>.<span class="ident">k</span>.<span class="ident">clone</span>() <span class="op">+</span> <span class="ident">T</span>::<span class="ident">one</span>(),
<span class="self">self</span>.<span class="ident">k</span>.<span class="ident">clone</span>()
)
} <span class="kw">else</span> {
<span class="ident">T</span>::<span class="ident">one</span>()
};
<span class="self">self</span>.<span class="ident">k</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">k</span>.<span class="ident">clone</span>() <span class="op">+</span> <span class="ident">T</span>::<span class="ident">one</span>();
<span class="prelude-val">Some</span>(<span class="self">self</span>.<span class="ident">a</span>.<span class="ident">clone</span>())
}
}
<span class="doccomment">/// Calculate r * a / b, avoiding overflows and fractions.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Assumes that b divides r * a evenly.</span>
<span class="kw">fn</span> <span class="ident">multiply_and_divide</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Clone</span><span class="op">></span>(<span class="ident">r</span>: <span class="ident">T</span>, <span class="ident">a</span>: <span class="ident">T</span>, <span class="ident">b</span>: <span class="ident">T</span>) <span class="op">-></span> <span class="ident">T</span> {
<span class="comment">// See http://blog.plover.com/math/choose-2.html for the idea.</span>
<span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> <span class="ident">gcd</span>(<span class="ident">r</span>.<span class="ident">clone</span>(), <span class="ident">b</span>.<span class="ident">clone</span>());
<span class="ident">r</span><span class="op">/</span><span class="ident">g</span>.<span class="ident">clone</span>() <span class="op">*</span> (<span class="ident">a</span> <span class="op">/</span> (<span class="ident">b</span><span class="op">/</span><span class="ident">g</span>))
}
<span class="doccomment">/// Calculate the binomial coefficient.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that this might overflow, depending on `T`. For the primitive integer</span>
<span class="doccomment">/// types, the following n are the largest ones possible such that there will</span>
<span class="doccomment">/// be no overflow for any k:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// type | n</span>
<span class="doccomment">/// -----|---</span>
<span class="doccomment">/// u8 | 10</span>
<span class="doccomment">/// i8 | 9</span>
<span class="doccomment">/// u16 | 18</span>
<span class="doccomment">/// i16 | 17</span>
<span class="doccomment">/// u32 | 34</span>
<span class="doccomment">/// i32 | 33</span>
<span class="doccomment">/// u64 | 67</span>
<span class="doccomment">/// i64 | 66</span>
<span class="doccomment">///</span>
<span class="doccomment">/// For larger n, consider using a bigint type for `T`.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">binomial</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Clone</span><span class="op">></span>(<span class="kw-2">mut</span> <span class="ident">n</span>: <span class="ident">T</span>, <span class="ident">k</span>: <span class="ident">T</span>) <span class="op">-></span> <span class="ident">T</span> {
<span class="comment">// See http://blog.plover.com/math/choose.html for the idea.</span>
<span class="kw">if</span> <span class="ident">k</span> <span class="op">></span> <span class="ident">n</span> {
<span class="kw">return</span> <span class="ident">T</span>::<span class="ident">zero</span>();
}
<span class="kw">if</span> <span class="ident">k</span> <span class="op">></span> <span class="ident">n</span>.<span class="ident">clone</span>() <span class="op">-</span> <span class="ident">k</span>.<span class="ident">clone</span>() {
<span class="kw">return</span> <span class="ident">binomial</span>(<span class="ident">n</span>.<span class="ident">clone</span>(), <span class="ident">n</span> <span class="op">-</span> <span class="ident">k</span>);
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">r</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">one</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">d</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">one</span>();
<span class="kw">loop</span> {
<span class="kw">if</span> <span class="ident">d</span> <span class="op">></span> <span class="ident">k</span> {
<span class="kw">break</span>;
}
<span class="ident">r</span> <span class="op">=</span> <span class="ident">multiply_and_divide</span>(<span class="ident">r</span>, <span class="ident">n</span>.<span class="ident">clone</span>(), <span class="ident">d</span>.<span class="ident">clone</span>());
<span class="ident">n</span> <span class="op">=</span> <span class="ident">n</span> <span class="op">-</span> <span class="ident">T</span>::<span class="ident">one</span>();
<span class="ident">d</span> <span class="op">=</span> <span class="ident">d</span> <span class="op">+</span> <span class="ident">T</span>::<span class="ident">one</span>();
}
<span class="ident">r</span>
}
<span class="doccomment">/// Calculate the multinomial coefficient.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">multinomial</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Clone</span><span class="op">></span>(<span class="ident">k</span>: <span class="kw-2">&</span>[<span class="ident">T</span>]) <span class="op">-></span> <span class="ident">T</span>
<span class="kw">where</span> <span class="kw">for</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span> <span class="ident">T</span>: <span class="ident">Add</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">T</span>, <span class="ident">Output</span> <span class="op">=</span> <span class="ident">T</span><span class="op">></span>
{
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">r</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">one</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">p</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">zero</span>();
<span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="ident">k</span> {
<span class="ident">p</span> <span class="op">=</span> <span class="ident">p</span> <span class="op">+</span> <span class="ident">i</span>;
<span class="ident">r</span> <span class="op">=</span> <span class="ident">r</span> <span class="op">*</span> <span class="ident">binomial</span>(<span class="ident">p</span>.<span class="ident">clone</span>(), <span class="ident">i</span>.<span class="ident">clone</span>());
}
<span class="ident">r</span>
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_lcm_overflow</span>() {
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">check</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">x</span>:<span class="ident">expr</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">y</span>:<span class="ident">expr</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">r</span>:<span class="ident">expr</span>) <span class="op">=></span> { {
<span class="kw">let</span> <span class="ident">x</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">x</span>;
<span class="kw">let</span> <span class="ident">y</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">y</span>;
<span class="kw">let</span> <span class="ident">o</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">checked_mul</span>(<span class="ident">y</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">o</span>.<span class="ident">is_none</span>(),
<span class="string">"sanity checking that {} input {} * {} overflows"</span>,
<span class="macro">stringify</span><span class="macro">!</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>), <span class="ident">x</span>, <span class="ident">y</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">x</span>.<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="ident">y</span>), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">r</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">y</span>.<span class="ident">lcm</span>(<span class="kw-2">&</span><span class="ident">x</span>), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">r</span>);
} }
}
<span class="comment">// Original bug (Issue #166)</span>
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="number">46656000000000000</span>, <span class="number">600</span>, <span class="number">46656000000000000</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="number">0x40</span>, <span class="number">0x04</span>, <span class="number">0x40</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="number">0x80</span>, <span class="number">0x02</span>, <span class="number">0x80</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="number">0x40_00</span>, <span class="number">0x04</span>, <span class="number">0x40_00</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="number">0x80_00</span>, <span class="number">0x02</span>, <span class="number">0x80_00</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="number">0x4000_0000</span>, <span class="number">0x04</span>, <span class="number">0x4000_0000</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="number">0x8000_0000</span>, <span class="number">0x02</span>, <span class="number">0x8000_0000</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="number">0x4000_0000_0000_0000</span>, <span class="number">0x04</span>, <span class="number">0x4000_0000_0000_0000</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="number">0x8000_0000_0000_0000</span>, <span class="number">0x02</span>, <span class="number">0x8000_0000_0000_0000</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_iter_binomial</span>() {
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">check_simple</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>) <span class="op">=></span> { {
<span class="kw">let</span> <span class="ident">n</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="number">3</span>;
<span class="kw">let</span> <span class="ident">c</span>: <span class="ident">Vec</span><span class="op"><</span>_<span class="op">></span> <span class="op">=</span> <span class="ident">IterBinomial</span>::<span class="ident">new</span>(<span class="ident">n</span>).<span class="ident">collect</span>();
<span class="kw">let</span> <span class="ident">expected</span> <span class="op">=</span> <span class="macro">vec</span><span class="macro">!</span>[<span class="number">1</span>, <span class="number">3</span>, <span class="number">3</span>, <span class="number">1</span>];
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">c</span>, <span class="ident">expected</span>);
} }
}
<span class="macro">check_simple</span><span class="macro">!</span>(<span class="ident">u8</span>);
<span class="macro">check_simple</span><span class="macro">!</span>(<span class="ident">i8</span>);
<span class="macro">check_simple</span><span class="macro">!</span>(<span class="ident">u16</span>);
<span class="macro">check_simple</span><span class="macro">!</span>(<span class="ident">i16</span>);
<span class="macro">check_simple</span><span class="macro">!</span>(<span class="ident">u32</span>);
<span class="macro">check_simple</span><span class="macro">!</span>(<span class="ident">i32</span>);
<span class="macro">check_simple</span><span class="macro">!</span>(<span class="ident">u64</span>);
<span class="macro">check_simple</span><span class="macro">!</span>(<span class="ident">i64</span>);
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">check_binomial</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">n</span>:<span class="ident">expr</span>) <span class="op">=></span> { {
<span class="kw">let</span> <span class="ident">n</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">n</span>;
<span class="kw">let</span> <span class="ident">c</span>: <span class="ident">Vec</span><span class="op"><</span>_<span class="op">></span> <span class="op">=</span> <span class="ident">IterBinomial</span>::<span class="ident">new</span>(<span class="ident">n</span>).<span class="ident">collect</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">k</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">for</span> <span class="ident">b</span> <span class="kw">in</span> <span class="ident">c</span> {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">b</span>, <span class="ident">binomial</span>(<span class="ident">n</span>, <span class="ident">k</span>));
<span class="ident">k</span> <span class="op">+=</span> <span class="number">1</span>;
}
} }
}
<span class="comment">// Check the largest n for which there is no overflow.</span>
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="number">10</span>);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="number">9</span>);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="number">18</span>);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="number">17</span>);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="number">34</span>);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="number">33</span>);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="number">67</span>);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="number">66</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_binomial</span>() {
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">check</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">x</span>:<span class="ident">expr</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">y</span>:<span class="ident">expr</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">r</span>:<span class="ident">expr</span>) <span class="op">=></span> { {
<span class="kw">let</span> <span class="ident">x</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">x</span>;
<span class="kw">let</span> <span class="ident">y</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">y</span>;
<span class="kw">let</span> <span class="ident">expected</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">r</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">binomial</span>(<span class="ident">x</span>, <span class="ident">y</span>), <span class="ident">expected</span>);
<span class="kw">if</span> <span class="ident">y</span> <span class="op"><=</span> <span class="ident">x</span> {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">binomial</span>(<span class="ident">x</span>, <span class="ident">x</span> <span class="op">-</span> <span class="ident">y</span>), <span class="ident">expected</span>);
}
} }
}
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="number">9</span>, <span class="number">4</span>, <span class="number">126</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">1</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="number">9</span>, <span class="number">4</span>, <span class="number">126</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">1</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="number">100</span>, <span class="number">2</span>, <span class="number">4950</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="number">14</span>, <span class="number">4</span>, <span class="number">1001</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">1</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="number">100</span>, <span class="number">2</span>, <span class="number">4950</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="number">14</span>, <span class="number">4</span>, <span class="number">1001</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">1</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="number">100</span>, <span class="number">2</span>, <span class="number">4950</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="number">35</span>, <span class="number">11</span>, <span class="number">417225900</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="number">14</span>, <span class="number">4</span>, <span class="number">1001</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">1</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="number">100</span>, <span class="number">2</span>, <span class="number">4950</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="number">35</span>, <span class="number">11</span>, <span class="number">417225900</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="number">14</span>, <span class="number">4</span>, <span class="number">1001</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">1</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="number">100</span>, <span class="number">2</span>, <span class="number">4950</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="number">35</span>, <span class="number">11</span>, <span class="number">417225900</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="number">14</span>, <span class="number">4</span>, <span class="number">1001</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">1</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="number">100</span>, <span class="number">2</span>, <span class="number">4950</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="number">35</span>, <span class="number">11</span>, <span class="number">417225900</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="number">14</span>, <span class="number">4</span>, <span class="number">1001</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">1</span>);
<span class="macro">check</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_multinomial</span>() {
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">check_binomial</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">k</span>:<span class="ident">expr</span>) <span class="op">=></span> { {
<span class="kw">let</span> <span class="ident">n</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">k</span>.<span class="ident">iter</span>().<span class="ident">fold</span>(<span class="number">0</span>, <span class="op">|</span><span class="ident">acc</span>, <span class="kw-2">&</span><span class="ident">x</span><span class="op">|</span> <span class="ident">acc</span> <span class="op">+</span> <span class="ident">x</span>);
<span class="kw">let</span> <span class="ident">k</span>: <span class="kw-2">&</span>[<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>] <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">k</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">k</span>.<span class="ident">len</span>(), <span class="number">2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">multinomial</span>(<span class="ident">k</span>), <span class="ident">binomial</span>(<span class="ident">n</span>, <span class="ident">k</span>[<span class="number">0</span>]));
} }
}
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="kw-2">&</span>[<span class="number">4</span>, <span class="number">5</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="kw-2">&</span>[<span class="number">4</span>, <span class="number">5</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">98</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="kw-2">&</span>[<span class="number">4</span>, <span class="number">10</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">98</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="kw-2">&</span>[<span class="number">4</span>, <span class="number">10</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">98</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="kw-2">&</span>[<span class="number">11</span>, <span class="number">24</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="kw-2">&</span>[<span class="number">4</span>, <span class="number">10</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">98</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="kw-2">&</span>[<span class="number">11</span>, <span class="number">24</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="kw-2">&</span>[<span class="number">4</span>, <span class="number">10</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">98</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="kw-2">&</span>[<span class="number">11</span>, <span class="number">24</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="kw-2">&</span>[<span class="number">4</span>, <span class="number">10</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">98</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="kw-2">&</span>[<span class="number">11</span>, <span class="number">24</span>]);
<span class="macro">check_binomial</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="kw-2">&</span>[<span class="number">4</span>, <span class="number">10</span>]);
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">check_multinomial</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">k</span>:<span class="ident">expr</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">r</span>:<span class="ident">expr</span>) <span class="op">=></span> { {
<span class="kw">let</span> <span class="ident">k</span>: <span class="kw-2">&</span>[<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>] <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">k</span>;
<span class="kw">let</span> <span class="ident">expected</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">r</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">multinomial</span>(<span class="ident">k</span>), <span class="ident">expected</span>);
} }
}
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">1</span>, <span class="number">2</span>], <span class="number">30</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>], <span class="number">10</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">1</span>, <span class="number">2</span>], <span class="number">30</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>], <span class="number">10</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">1</span>, <span class="number">2</span>], <span class="number">30</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>], <span class="number">10</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">1</span>, <span class="number">2</span>], <span class="number">30</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>], <span class="number">10</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">1</span>, <span class="number">2</span>], <span class="number">30</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>], <span class="number">10</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">1</span>, <span class="number">2</span>], <span class="number">30</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>], <span class="number">10</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">1</span>, <span class="number">2</span>], <span class="number">30</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>], <span class="number">10</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">1</span>, <span class="number">2</span>], <span class="number">30</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="kw-2">&</span>[<span class="number">2</span>, <span class="number">3</span>, <span class="number">0</span>], <span class="number">10</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="kw-2">&</span>[], <span class="number">1</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="kw-2">&</span>[<span class="number">0</span>], <span class="number">1</span>);
<span class="macro">check_multinomial</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="kw-2">&</span>[<span class="number">12345</span>], <span class="number">1</span>);
}
</pre>
</section>
<section id='search' class="content hidden"></section>
<section class="footer"></section>
<aside id="help" class="hidden">
<div>
<h1 class="hidden">Help</h1>
<div class="shortcuts">
<h2>Keyboard Shortcuts</h2>
<dl>
<dt>?</dt>
<dd>Show this help dialog</dd>
<dt>S</dt>
<dd>Focus the search field</dd>
<dt>⇤</dt>
<dd>Move up in search results</dd>
<dt>⇥</dt>
<dd>Move down in search results</dd>
<dt>⏎</dt>
<dd>Go to active search result</dd>
<dt>+</dt>
<dd>Collapse/expand all sections</dd>
</dl>
</div>
<div class="infos">
<h2>Search Tricks</h2>
<p>
Prefix searches with a type followed by a colon (e.g.
<code>fn:</code>) to restrict the search to a given type.
</p>
<p>
Accepted types are: <code>fn</code>, <code>mod</code>,
<code>struct</code>, <code>enum</code>,
<code>trait</code>, <code>type</code>, <code>macro</code>,
and <code>const</code>.
</p>
<p>
Search functions by type signature (e.g.
<code>vec -> usize</code> or <code>* -> vec</code>)
</p>
</div>
</div>
</aside>
<script>
window.rootPath = "../../";
window.currentCrate = "num_integer";
</script>
<script src="../../main.js"></script>
<script defer src="../../search-index.js"></script>
</body>
</html>