| <!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source of the Rust file `/root/.cargo/registry/src/github.com-1ecc6299db9ec823/num-bigint-0.2.6/src/bigint.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>bigint.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" href="../../normalize.css"><link rel="stylesheet" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../ayu.css" disabled><link rel="stylesheet" href="../../dark.css" disabled><link rel="stylesheet" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script defer src="../../source-script.js"></script><script defer src="../../source-files.js"></script><script defer src="../../main.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../favicon.svg"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><a class="sidebar-logo" href="../../num_bigint/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../num_bigint/index.html"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></a><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><span id="1">1</span> |
| <span id="2">2</span> |
| <span id="3">3</span> |
| <span id="4">4</span> |
| <span id="5">5</span> |
| <span id="6">6</span> |
| <span id="7">7</span> |
| <span id="8">8</span> |
| <span id="9">9</span> |
| <span id="10">10</span> |
| <span id="11">11</span> |
| <span id="12">12</span> |
| <span id="13">13</span> |
| <span id="14">14</span> |
| <span id="15">15</span> |
| <span id="16">16</span> |
| <span id="17">17</span> |
| <span id="18">18</span> |
| <span id="19">19</span> |
| <span id="20">20</span> |
| <span id="21">21</span> |
| <span id="22">22</span> |
| <span id="23">23</span> |
| <span id="24">24</span> |
| <span id="25">25</span> |
| <span id="26">26</span> |
| <span id="27">27</span> |
| <span id="28">28</span> |
| <span id="29">29</span> |
| <span id="30">30</span> |
| <span id="31">31</span> |
| <span id="32">32</span> |
| <span id="33">33</span> |
| <span id="34">34</span> |
| <span id="35">35</span> |
| <span id="36">36</span> |
| <span id="37">37</span> |
| <span id="38">38</span> |
| <span id="39">39</span> |
| <span id="40">40</span> |
| <span id="41">41</span> |
| <span id="42">42</span> |
| <span id="43">43</span> |
| <span id="44">44</span> |
| <span id="45">45</span> |
| <span id="46">46</span> |
| <span id="47">47</span> |
| <span id="48">48</span> |
| <span id="49">49</span> |
| <span id="50">50</span> |
| <span id="51">51</span> |
| <span id="52">52</span> |
| <span id="53">53</span> |
| <span id="54">54</span> |
| <span id="55">55</span> |
| <span id="56">56</span> |
| <span id="57">57</span> |
| <span id="58">58</span> |
| <span id="59">59</span> |
| <span id="60">60</span> |
| <span id="61">61</span> |
| <span id="62">62</span> |
| <span id="63">63</span> |
| <span id="64">64</span> |
| <span id="65">65</span> |
| <span id="66">66</span> |
| <span id="67">67</span> |
| <span id="68">68</span> |
| <span id="69">69</span> |
| <span id="70">70</span> |
| <span id="71">71</span> |
| <span id="72">72</span> |
| <span id="73">73</span> |
| <span id="74">74</span> |
| <span id="75">75</span> |
| <span id="76">76</span> |
| <span id="77">77</span> |
| <span id="78">78</span> |
| <span id="79">79</span> |
| <span id="80">80</span> |
| <span id="81">81</span> |
| <span id="82">82</span> |
| <span id="83">83</span> |
| <span id="84">84</span> |
| <span id="85">85</span> |
| <span id="86">86</span> |
| <span id="87">87</span> |
| <span id="88">88</span> |
| <span id="89">89</span> |
| <span id="90">90</span> |
| <span id="91">91</span> |
| <span id="92">92</span> |
| <span id="93">93</span> |
| <span id="94">94</span> |
| <span id="95">95</span> |
| <span id="96">96</span> |
| <span id="97">97</span> |
| <span id="98">98</span> |
| <span id="99">99</span> |
| <span id="100">100</span> |
| <span id="101">101</span> |
| <span id="102">102</span> |
| <span id="103">103</span> |
| <span id="104">104</span> |
| <span id="105">105</span> |
| <span id="106">106</span> |
| <span id="107">107</span> |
| <span id="108">108</span> |
| <span id="109">109</span> |
| <span id="110">110</span> |
| <span id="111">111</span> |
| <span id="112">112</span> |
| <span id="113">113</span> |
| <span id="114">114</span> |
| <span id="115">115</span> |
| <span id="116">116</span> |
| <span id="117">117</span> |
| <span id="118">118</span> |
| <span id="119">119</span> |
| <span id="120">120</span> |
| <span id="121">121</span> |
| <span id="122">122</span> |
| <span id="123">123</span> |
| <span id="124">124</span> |
| <span id="125">125</span> |
| <span id="126">126</span> |
| <span id="127">127</span> |
| <span id="128">128</span> |
| <span id="129">129</span> |
| <span id="130">130</span> |
| <span id="131">131</span> |
| <span id="132">132</span> |
| <span id="133">133</span> |
| <span id="134">134</span> |
| <span id="135">135</span> |
| <span id="136">136</span> |
| <span id="137">137</span> |
| <span id="138">138</span> |
| <span id="139">139</span> |
| <span id="140">140</span> |
| <span id="141">141</span> |
| <span id="142">142</span> |
| <span id="143">143</span> |
| <span id="144">144</span> |
| <span id="145">145</span> |
| <span id="146">146</span> |
| <span id="147">147</span> |
| <span id="148">148</span> |
| <span id="149">149</span> |
| <span id="150">150</span> |
| <span id="151">151</span> |
| <span id="152">152</span> |
| <span id="153">153</span> |
| <span id="154">154</span> |
| <span id="155">155</span> |
| <span id="156">156</span> |
| <span id="157">157</span> |
| <span id="158">158</span> |
| <span id="159">159</span> |
| <span id="160">160</span> |
| <span id="161">161</span> |
| <span id="162">162</span> |
| <span id="163">163</span> |
| <span id="164">164</span> |
| <span id="165">165</span> |
| <span id="166">166</span> |
| <span id="167">167</span> |
| <span id="168">168</span> |
| <span id="169">169</span> |
| <span id="170">170</span> |
| <span id="171">171</span> |
| <span id="172">172</span> |
| <span id="173">173</span> |
| <span id="174">174</span> |
| <span id="175">175</span> |
| <span id="176">176</span> |
| <span id="177">177</span> |
| <span id="178">178</span> |
| <span id="179">179</span> |
| <span id="180">180</span> |
| <span id="181">181</span> |
| <span id="182">182</span> |
| <span id="183">183</span> |
| <span id="184">184</span> |
| <span id="185">185</span> |
| <span id="186">186</span> |
| <span id="187">187</span> |
| <span id="188">188</span> |
| <span id="189">189</span> |
| <span id="190">190</span> |
| <span id="191">191</span> |
| <span id="192">192</span> |
| <span id="193">193</span> |
| <span id="194">194</span> |
| <span id="195">195</span> |
| <span id="196">196</span> |
| <span id="197">197</span> |
| <span id="198">198</span> |
| <span id="199">199</span> |
| <span id="200">200</span> |
| <span id="201">201</span> |
| <span id="202">202</span> |
| <span id="203">203</span> |
| <span id="204">204</span> |
| <span id="205">205</span> |
| <span id="206">206</span> |
| <span id="207">207</span> |
| <span id="208">208</span> |
| <span id="209">209</span> |
| <span id="210">210</span> |
| <span id="211">211</span> |
| <span id="212">212</span> |
| <span id="213">213</span> |
| <span id="214">214</span> |
| <span id="215">215</span> |
| <span id="216">216</span> |
| <span id="217">217</span> |
| <span id="218">218</span> |
| <span id="219">219</span> |
| <span id="220">220</span> |
| <span id="221">221</span> |
| <span id="222">222</span> |
| <span id="223">223</span> |
| <span id="224">224</span> |
| <span id="225">225</span> |
| <span id="226">226</span> |
| <span id="227">227</span> |
| <span id="228">228</span> |
| <span id="229">229</span> |
| <span id="230">230</span> |
| <span id="231">231</span> |
| <span id="232">232</span> |
| <span id="233">233</span> |
| <span id="234">234</span> |
| <span id="235">235</span> |
| <span id="236">236</span> |
| <span id="237">237</span> |
| <span id="238">238</span> |
| <span id="239">239</span> |
| <span id="240">240</span> |
| <span id="241">241</span> |
| <span id="242">242</span> |
| <span id="243">243</span> |
| <span id="244">244</span> |
| <span id="245">245</span> |
| <span id="246">246</span> |
| <span id="247">247</span> |
| <span id="248">248</span> |
| <span id="249">249</span> |
| <span id="250">250</span> |
| <span id="251">251</span> |
| <span id="252">252</span> |
| <span id="253">253</span> |
| <span id="254">254</span> |
| <span id="255">255</span> |
| <span id="256">256</span> |
| <span id="257">257</span> |
| <span id="258">258</span> |
| <span id="259">259</span> |
| <span id="260">260</span> |
| <span id="261">261</span> |
| <span id="262">262</span> |
| <span id="263">263</span> |
| <span id="264">264</span> |
| <span id="265">265</span> |
| <span id="266">266</span> |
| <span id="267">267</span> |
| <span id="268">268</span> |
| <span id="269">269</span> |
| <span id="270">270</span> |
| <span id="271">271</span> |
| <span id="272">272</span> |
| <span id="273">273</span> |
| <span id="274">274</span> |
| <span id="275">275</span> |
| <span id="276">276</span> |
| <span id="277">277</span> |
| <span id="278">278</span> |
| <span id="279">279</span> |
| <span id="280">280</span> |
| <span id="281">281</span> |
| <span id="282">282</span> |
| <span id="283">283</span> |
| <span id="284">284</span> |
| <span id="285">285</span> |
| <span id="286">286</span> |
| <span id="287">287</span> |
| <span id="288">288</span> |
| <span id="289">289</span> |
| <span id="290">290</span> |
| <span id="291">291</span> |
| <span id="292">292</span> |
| <span id="293">293</span> |
| <span id="294">294</span> |
| <span id="295">295</span> |
| <span id="296">296</span> |
| <span id="297">297</span> |
| <span id="298">298</span> |
| <span id="299">299</span> |
| <span id="300">300</span> |
| <span id="301">301</span> |
| <span id="302">302</span> |
| <span id="303">303</span> |
| <span id="304">304</span> |
| <span id="305">305</span> |
| <span id="306">306</span> |
| <span id="307">307</span> |
| <span id="308">308</span> |
| <span id="309">309</span> |
| <span id="310">310</span> |
| <span id="311">311</span> |
| <span id="312">312</span> |
| <span id="313">313</span> |
| <span id="314">314</span> |
| <span id="315">315</span> |
| <span id="316">316</span> |
| <span id="317">317</span> |
| <span id="318">318</span> |
| <span id="319">319</span> |
| <span id="320">320</span> |
| <span id="321">321</span> |
| <span id="322">322</span> |
| <span id="323">323</span> |
| <span id="324">324</span> |
| <span id="325">325</span> |
| <span id="326">326</span> |
| <span id="327">327</span> |
| <span id="328">328</span> |
| <span id="329">329</span> |
| <span id="330">330</span> |
| <span id="331">331</span> |
| <span id="332">332</span> |
| <span id="333">333</span> |
| <span id="334">334</span> |
| <span id="335">335</span> |
| <span id="336">336</span> |
| <span id="337">337</span> |
| <span id="338">338</span> |
| <span id="339">339</span> |
| <span id="340">340</span> |
| <span id="341">341</span> |
| <span id="342">342</span> |
| <span id="343">343</span> |
| <span id="344">344</span> |
| <span id="345">345</span> |
| <span id="346">346</span> |
| <span id="347">347</span> |
| <span id="348">348</span> |
| <span id="349">349</span> |
| <span id="350">350</span> |
| <span id="351">351</span> |
| <span id="352">352</span> |
| <span id="353">353</span> |
| <span id="354">354</span> |
| <span id="355">355</span> |
| <span id="356">356</span> |
| <span id="357">357</span> |
| <span id="358">358</span> |
| <span id="359">359</span> |
| <span id="360">360</span> |
| <span id="361">361</span> |
| <span id="362">362</span> |
| <span id="363">363</span> |
| <span id="364">364</span> |
| <span id="365">365</span> |
| <span id="366">366</span> |
| <span id="367">367</span> |
| <span id="368">368</span> |
| <span id="369">369</span> |
| <span id="370">370</span> |
| <span id="371">371</span> |
| <span id="372">372</span> |
| <span id="373">373</span> |
| <span id="374">374</span> |
| <span id="375">375</span> |
| <span id="376">376</span> |
| <span id="377">377</span> |
| <span id="378">378</span> |
| <span id="379">379</span> |
| <span id="380">380</span> |
| <span id="381">381</span> |
| <span id="382">382</span> |
| <span id="383">383</span> |
| <span id="384">384</span> |
| <span id="385">385</span> |
| <span id="386">386</span> |
| <span id="387">387</span> |
| <span id="388">388</span> |
| <span id="389">389</span> |
| <span id="390">390</span> |
| <span id="391">391</span> |
| <span id="392">392</span> |
| <span id="393">393</span> |
| <span id="394">394</span> |
| <span id="395">395</span> |
| <span id="396">396</span> |
| <span id="397">397</span> |
| <span id="398">398</span> |
| <span id="399">399</span> |
| <span id="400">400</span> |
| <span id="401">401</span> |
| <span id="402">402</span> |
| <span id="403">403</span> |
| <span id="404">404</span> |
| <span id="405">405</span> |
| <span id="406">406</span> |
| <span id="407">407</span> |
| <span id="408">408</span> |
| <span id="409">409</span> |
| <span id="410">410</span> |
| <span id="411">411</span> |
| <span id="412">412</span> |
| <span id="413">413</span> |
| <span id="414">414</span> |
| <span id="415">415</span> |
| <span id="416">416</span> |
| <span id="417">417</span> |
| <span id="418">418</span> |
| <span id="419">419</span> |
| <span id="420">420</span> |
| <span id="421">421</span> |
| <span id="422">422</span> |
| <span id="423">423</span> |
| <span id="424">424</span> |
| <span id="425">425</span> |
| <span id="426">426</span> |
| <span id="427">427</span> |
| <span id="428">428</span> |
| <span id="429">429</span> |
| <span id="430">430</span> |
| <span id="431">431</span> |
| <span id="432">432</span> |
| <span id="433">433</span> |
| <span id="434">434</span> |
| <span id="435">435</span> |
| <span id="436">436</span> |
| <span id="437">437</span> |
| <span id="438">438</span> |
| <span id="439">439</span> |
| <span id="440">440</span> |
| <span id="441">441</span> |
| <span id="442">442</span> |
| <span id="443">443</span> |
| <span id="444">444</span> |
| <span id="445">445</span> |
| <span id="446">446</span> |
| <span id="447">447</span> |
| <span id="448">448</span> |
| <span id="449">449</span> |
| <span id="450">450</span> |
| <span id="451">451</span> |
| <span id="452">452</span> |
| <span id="453">453</span> |
| <span id="454">454</span> |
| <span id="455">455</span> |
| <span id="456">456</span> |
| <span id="457">457</span> |
| <span id="458">458</span> |
| <span id="459">459</span> |
| <span id="460">460</span> |
| <span id="461">461</span> |
| <span id="462">462</span> |
| <span id="463">463</span> |
| <span id="464">464</span> |
| <span id="465">465</span> |
| <span id="466">466</span> |
| <span id="467">467</span> |
| <span id="468">468</span> |
| <span id="469">469</span> |
| <span id="470">470</span> |
| <span id="471">471</span> |
| <span id="472">472</span> |
| <span id="473">473</span> |
| <span id="474">474</span> |
| <span id="475">475</span> |
| <span id="476">476</span> |
| <span id="477">477</span> |
| <span id="478">478</span> |
| <span id="479">479</span> |
| <span id="480">480</span> |
| <span id="481">481</span> |
| <span id="482">482</span> |
| <span id="483">483</span> |
| <span id="484">484</span> |
| <span id="485">485</span> |
| <span id="486">486</span> |
| <span id="487">487</span> |
| <span id="488">488</span> |
| <span id="489">489</span> |
| <span id="490">490</span> |
| <span id="491">491</span> |
| <span id="492">492</span> |
| <span id="493">493</span> |
| <span id="494">494</span> |
| <span id="495">495</span> |
| <span id="496">496</span> |
| <span id="497">497</span> |
| <span id="498">498</span> |
| <span id="499">499</span> |
| <span id="500">500</span> |
| <span id="501">501</span> |
| <span id="502">502</span> |
| <span id="503">503</span> |
| <span id="504">504</span> |
| <span id="505">505</span> |
| <span id="506">506</span> |
| <span id="507">507</span> |
| <span id="508">508</span> |
| <span id="509">509</span> |
| <span id="510">510</span> |
| <span id="511">511</span> |
| <span id="512">512</span> |
| <span id="513">513</span> |
| <span id="514">514</span> |
| <span id="515">515</span> |
| <span id="516">516</span> |
| <span id="517">517</span> |
| <span id="518">518</span> |
| <span id="519">519</span> |
| <span id="520">520</span> |
| <span id="521">521</span> |
| <span id="522">522</span> |
| <span id="523">523</span> |
| <span id="524">524</span> |
| <span id="525">525</span> |
| <span id="526">526</span> |
| <span id="527">527</span> |
| <span id="528">528</span> |
| <span id="529">529</span> |
| <span id="530">530</span> |
| <span id="531">531</span> |
| <span id="532">532</span> |
| <span id="533">533</span> |
| <span id="534">534</span> |
| <span id="535">535</span> |
| <span id="536">536</span> |
| <span id="537">537</span> |
| <span id="538">538</span> |
| <span id="539">539</span> |
| <span id="540">540</span> |
| <span id="541">541</span> |
| <span id="542">542</span> |
| <span id="543">543</span> |
| <span id="544">544</span> |
| <span id="545">545</span> |
| <span id="546">546</span> |
| <span id="547">547</span> |
| <span id="548">548</span> |
| <span id="549">549</span> |
| <span id="550">550</span> |
| <span id="551">551</span> |
| <span id="552">552</span> |
| <span id="553">553</span> |
| <span id="554">554</span> |
| <span id="555">555</span> |
| <span id="556">556</span> |
| <span id="557">557</span> |
| <span id="558">558</span> |
| <span id="559">559</span> |
| <span id="560">560</span> |
| <span id="561">561</span> |
| <span id="562">562</span> |
| <span id="563">563</span> |
| <span id="564">564</span> |
| <span id="565">565</span> |
| <span id="566">566</span> |
| <span id="567">567</span> |
| <span id="568">568</span> |
| <span id="569">569</span> |
| <span id="570">570</span> |
| <span id="571">571</span> |
| <span id="572">572</span> |
| <span id="573">573</span> |
| <span id="574">574</span> |
| <span id="575">575</span> |
| <span id="576">576</span> |
| <span id="577">577</span> |
| <span id="578">578</span> |
| <span id="579">579</span> |
| <span id="580">580</span> |
| <span id="581">581</span> |
| <span id="582">582</span> |
| <span id="583">583</span> |
| <span id="584">584</span> |
| <span id="585">585</span> |
| <span id="586">586</span> |
| <span id="587">587</span> |
| <span id="588">588</span> |
| <span id="589">589</span> |
| <span id="590">590</span> |
| <span id="591">591</span> |
| <span id="592">592</span> |
| <span id="593">593</span> |
| <span id="594">594</span> |
| <span id="595">595</span> |
| <span id="596">596</span> |
| <span id="597">597</span> |
| <span id="598">598</span> |
| <span id="599">599</span> |
| <span id="600">600</span> |
| <span id="601">601</span> |
| <span id="602">602</span> |
| <span id="603">603</span> |
| <span id="604">604</span> |
| <span id="605">605</span> |
| <span id="606">606</span> |
| <span id="607">607</span> |
| <span id="608">608</span> |
| <span id="609">609</span> |
| <span id="610">610</span> |
| <span id="611">611</span> |
| <span id="612">612</span> |
| <span id="613">613</span> |
| <span id="614">614</span> |
| <span id="615">615</span> |
| <span id="616">616</span> |
| <span id="617">617</span> |
| <span id="618">618</span> |
| <span id="619">619</span> |
| <span id="620">620</span> |
| <span id="621">621</span> |
| <span id="622">622</span> |
| <span id="623">623</span> |
| <span id="624">624</span> |
| <span id="625">625</span> |
| <span id="626">626</span> |
| <span id="627">627</span> |
| <span id="628">628</span> |
| <span id="629">629</span> |
| <span id="630">630</span> |
| <span id="631">631</span> |
| <span id="632">632</span> |
| <span id="633">633</span> |
| <span id="634">634</span> |
| <span id="635">635</span> |
| <span id="636">636</span> |
| <span id="637">637</span> |
| <span id="638">638</span> |
| <span id="639">639</span> |
| <span id="640">640</span> |
| <span id="641">641</span> |
| <span id="642">642</span> |
| <span id="643">643</span> |
| <span id="644">644</span> |
| <span id="645">645</span> |
| <span id="646">646</span> |
| <span id="647">647</span> |
| <span id="648">648</span> |
| <span id="649">649</span> |
| <span id="650">650</span> |
| <span id="651">651</span> |
| <span id="652">652</span> |
| <span id="653">653</span> |
| <span id="654">654</span> |
| <span id="655">655</span> |
| <span id="656">656</span> |
| <span id="657">657</span> |
| <span id="658">658</span> |
| <span id="659">659</span> |
| <span id="660">660</span> |
| <span id="661">661</span> |
| <span id="662">662</span> |
| <span id="663">663</span> |
| <span id="664">664</span> |
| <span id="665">665</span> |
| <span id="666">666</span> |
| <span id="667">667</span> |
| <span id="668">668</span> |
| <span id="669">669</span> |
| <span id="670">670</span> |
| <span id="671">671</span> |
| <span id="672">672</span> |
| <span id="673">673</span> |
| <span id="674">674</span> |
| <span id="675">675</span> |
| <span id="676">676</span> |
| <span id="677">677</span> |
| <span id="678">678</span> |
| <span id="679">679</span> |
| <span id="680">680</span> |
| <span id="681">681</span> |
| <span id="682">682</span> |
| <span id="683">683</span> |
| <span id="684">684</span> |
| <span id="685">685</span> |
| <span id="686">686</span> |
| <span id="687">687</span> |
| <span id="688">688</span> |
| <span id="689">689</span> |
| <span id="690">690</span> |
| <span id="691">691</span> |
| <span id="692">692</span> |
| <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> |
| <span id="989">989</span> |
| <span id="990">990</span> |
| <span id="991">991</span> |
| <span id="992">992</span> |
| <span id="993">993</span> |
| <span id="994">994</span> |
| <span id="995">995</span> |
| <span id="996">996</span> |
| <span id="997">997</span> |
| <span id="998">998</span> |
| <span id="999">999</span> |
| <span id="1000">1000</span> |
| <span id="1001">1001</span> |
| <span id="1002">1002</span> |
| <span id="1003">1003</span> |
| <span id="1004">1004</span> |
| <span id="1005">1005</span> |
| <span id="1006">1006</span> |
| <span id="1007">1007</span> |
| <span id="1008">1008</span> |
| <span id="1009">1009</span> |
| <span id="1010">1010</span> |
| <span id="1011">1011</span> |
| <span id="1012">1012</span> |
| <span id="1013">1013</span> |
| <span id="1014">1014</span> |
| <span id="1015">1015</span> |
| <span id="1016">1016</span> |
| <span id="1017">1017</span> |
| <span id="1018">1018</span> |
| <span id="1019">1019</span> |
| <span id="1020">1020</span> |
| <span id="1021">1021</span> |
| <span id="1022">1022</span> |
| <span id="1023">1023</span> |
| <span id="1024">1024</span> |
| <span id="1025">1025</span> |
| <span id="1026">1026</span> |
| <span id="1027">1027</span> |
| <span id="1028">1028</span> |
| <span id="1029">1029</span> |
| <span id="1030">1030</span> |
| <span id="1031">1031</span> |
| <span id="1032">1032</span> |
| <span id="1033">1033</span> |
| <span id="1034">1034</span> |
| <span id="1035">1035</span> |
| <span id="1036">1036</span> |
| <span id="1037">1037</span> |
| <span id="1038">1038</span> |
| <span id="1039">1039</span> |
| <span id="1040">1040</span> |
| <span id="1041">1041</span> |
| <span id="1042">1042</span> |
| <span id="1043">1043</span> |
| <span id="1044">1044</span> |
| <span id="1045">1045</span> |
| <span id="1046">1046</span> |
| <span id="1047">1047</span> |
| <span id="1048">1048</span> |
| <span id="1049">1049</span> |
| <span id="1050">1050</span> |
| <span id="1051">1051</span> |
| <span id="1052">1052</span> |
| <span id="1053">1053</span> |
| <span id="1054">1054</span> |
| <span id="1055">1055</span> |
| <span id="1056">1056</span> |
| <span id="1057">1057</span> |
| <span id="1058">1058</span> |
| <span id="1059">1059</span> |
| <span id="1060">1060</span> |
| <span id="1061">1061</span> |
| <span id="1062">1062</span> |
| <span id="1063">1063</span> |
| <span id="1064">1064</span> |
| <span id="1065">1065</span> |
| <span id="1066">1066</span> |
| <span id="1067">1067</span> |
| <span id="1068">1068</span> |
| <span id="1069">1069</span> |
| <span id="1070">1070</span> |
| <span id="1071">1071</span> |
| <span id="1072">1072</span> |
| <span id="1073">1073</span> |
| <span id="1074">1074</span> |
| <span id="1075">1075</span> |
| <span id="1076">1076</span> |
| <span id="1077">1077</span> |
| <span id="1078">1078</span> |
| <span id="1079">1079</span> |
| <span id="1080">1080</span> |
| <span id="1081">1081</span> |
| <span id="1082">1082</span> |
| <span id="1083">1083</span> |
| <span id="1084">1084</span> |
| <span id="1085">1085</span> |
| <span id="1086">1086</span> |
| <span id="1087">1087</span> |
| <span id="1088">1088</span> |
| <span id="1089">1089</span> |
| <span id="1090">1090</span> |
| <span id="1091">1091</span> |
| <span id="1092">1092</span> |
| <span id="1093">1093</span> |
| <span id="1094">1094</span> |
| <span id="1095">1095</span> |
| <span id="1096">1096</span> |
| <span id="1097">1097</span> |
| <span id="1098">1098</span> |
| <span id="1099">1099</span> |
| <span id="1100">1100</span> |
| <span id="1101">1101</span> |
| <span id="1102">1102</span> |
| <span id="1103">1103</span> |
| <span id="1104">1104</span> |
| <span id="1105">1105</span> |
| <span id="1106">1106</span> |
| <span id="1107">1107</span> |
| <span id="1108">1108</span> |
| <span id="1109">1109</span> |
| <span id="1110">1110</span> |
| <span id="1111">1111</span> |
| <span id="1112">1112</span> |
| <span id="1113">1113</span> |
| <span id="1114">1114</span> |
| <span id="1115">1115</span> |
| <span id="1116">1116</span> |
| <span id="1117">1117</span> |
| <span id="1118">1118</span> |
| <span id="1119">1119</span> |
| <span id="1120">1120</span> |
| <span id="1121">1121</span> |
| <span id="1122">1122</span> |
| <span id="1123">1123</span> |
| <span id="1124">1124</span> |
| <span id="1125">1125</span> |
| <span id="1126">1126</span> |
| <span id="1127">1127</span> |
| <span id="1128">1128</span> |
| <span id="1129">1129</span> |
| <span id="1130">1130</span> |
| <span id="1131">1131</span> |
| <span id="1132">1132</span> |
| <span id="1133">1133</span> |
| <span id="1134">1134</span> |
| <span id="1135">1135</span> |
| <span id="1136">1136</span> |
| <span id="1137">1137</span> |
| <span id="1138">1138</span> |
| <span id="1139">1139</span> |
| <span id="1140">1140</span> |
| <span id="1141">1141</span> |
| <span id="1142">1142</span> |
| <span id="1143">1143</span> |
| <span id="1144">1144</span> |
| <span id="1145">1145</span> |
| <span id="1146">1146</span> |
| <span id="1147">1147</span> |
| <span id="1148">1148</span> |
| <span id="1149">1149</span> |
| <span id="1150">1150</span> |
| <span id="1151">1151</span> |
| <span id="1152">1152</span> |
| <span id="1153">1153</span> |
| <span id="1154">1154</span> |
| <span id="1155">1155</span> |
| <span id="1156">1156</span> |
| <span id="1157">1157</span> |
| <span id="1158">1158</span> |
| <span id="1159">1159</span> |
| <span id="1160">1160</span> |
| <span id="1161">1161</span> |
| <span id="1162">1162</span> |
| <span id="1163">1163</span> |
| <span id="1164">1164</span> |
| <span id="1165">1165</span> |
| <span id="1166">1166</span> |
| <span id="1167">1167</span> |
| <span id="1168">1168</span> |
| <span id="1169">1169</span> |
| <span id="1170">1170</span> |
| <span id="1171">1171</span> |
| <span id="1172">1172</span> |
| <span id="1173">1173</span> |
| <span id="1174">1174</span> |
| <span id="1175">1175</span> |
| <span id="1176">1176</span> |
| <span id="1177">1177</span> |
| <span id="1178">1178</span> |
| <span id="1179">1179</span> |
| <span id="1180">1180</span> |
| <span id="1181">1181</span> |
| <span id="1182">1182</span> |
| <span id="1183">1183</span> |
| <span id="1184">1184</span> |
| <span id="1185">1185</span> |
| <span id="1186">1186</span> |
| <span id="1187">1187</span> |
| <span id="1188">1188</span> |
| <span id="1189">1189</span> |
| <span id="1190">1190</span> |
| <span id="1191">1191</span> |
| <span id="1192">1192</span> |
| <span id="1193">1193</span> |
| <span id="1194">1194</span> |
| <span id="1195">1195</span> |
| <span id="1196">1196</span> |
| <span id="1197">1197</span> |
| <span id="1198">1198</span> |
| <span id="1199">1199</span> |
| <span id="1200">1200</span> |
| <span id="1201">1201</span> |
| <span id="1202">1202</span> |
| <span id="1203">1203</span> |
| <span id="1204">1204</span> |
| <span id="1205">1205</span> |
| <span id="1206">1206</span> |
| <span id="1207">1207</span> |
| <span id="1208">1208</span> |
| <span id="1209">1209</span> |
| <span id="1210">1210</span> |
| <span id="1211">1211</span> |
| <span id="1212">1212</span> |
| <span id="1213">1213</span> |
| <span id="1214">1214</span> |
| <span id="1215">1215</span> |
| <span id="1216">1216</span> |
| <span id="1217">1217</span> |
| <span id="1218">1218</span> |
| <span id="1219">1219</span> |
| <span id="1220">1220</span> |
| <span id="1221">1221</span> |
| <span id="1222">1222</span> |
| <span id="1223">1223</span> |
| <span id="1224">1224</span> |
| <span id="1225">1225</span> |
| <span id="1226">1226</span> |
| <span id="1227">1227</span> |
| <span id="1228">1228</span> |
| <span id="1229">1229</span> |
| <span id="1230">1230</span> |
| <span id="1231">1231</span> |
| <span id="1232">1232</span> |
| <span id="1233">1233</span> |
| <span id="1234">1234</span> |
| <span id="1235">1235</span> |
| <span id="1236">1236</span> |
| <span id="1237">1237</span> |
| <span id="1238">1238</span> |
| <span id="1239">1239</span> |
| <span id="1240">1240</span> |
| <span id="1241">1241</span> |
| <span id="1242">1242</span> |
| <span id="1243">1243</span> |
| <span id="1244">1244</span> |
| <span id="1245">1245</span> |
| <span id="1246">1246</span> |
| <span id="1247">1247</span> |
| <span id="1248">1248</span> |
| <span id="1249">1249</span> |
| <span id="1250">1250</span> |
| <span id="1251">1251</span> |
| <span id="1252">1252</span> |
| <span id="1253">1253</span> |
| <span id="1254">1254</span> |
| <span id="1255">1255</span> |
| <span id="1256">1256</span> |
| <span id="1257">1257</span> |
| <span id="1258">1258</span> |
| <span id="1259">1259</span> |
| <span id="1260">1260</span> |
| <span id="1261">1261</span> |
| <span id="1262">1262</span> |
| <span id="1263">1263</span> |
| <span id="1264">1264</span> |
| <span id="1265">1265</span> |
| <span id="1266">1266</span> |
| <span id="1267">1267</span> |
| <span id="1268">1268</span> |
| <span id="1269">1269</span> |
| <span id="1270">1270</span> |
| <span id="1271">1271</span> |
| <span id="1272">1272</span> |
| <span id="1273">1273</span> |
| <span id="1274">1274</span> |
| <span id="1275">1275</span> |
| <span id="1276">1276</span> |
| <span id="1277">1277</span> |
| <span id="1278">1278</span> |
| <span id="1279">1279</span> |
| <span id="1280">1280</span> |
| <span id="1281">1281</span> |
| <span id="1282">1282</span> |
| <span id="1283">1283</span> |
| <span id="1284">1284</span> |
| <span id="1285">1285</span> |
| <span id="1286">1286</span> |
| <span id="1287">1287</span> |
| <span id="1288">1288</span> |
| <span id="1289">1289</span> |
| <span id="1290">1290</span> |
| <span id="1291">1291</span> |
| <span id="1292">1292</span> |
| <span id="1293">1293</span> |
| <span id="1294">1294</span> |
| <span id="1295">1295</span> |
| <span id="1296">1296</span> |
| <span id="1297">1297</span> |
| <span id="1298">1298</span> |
| <span id="1299">1299</span> |
| <span id="1300">1300</span> |
| <span id="1301">1301</span> |
| <span id="1302">1302</span> |
| <span id="1303">1303</span> |
| <span id="1304">1304</span> |
| <span id="1305">1305</span> |
| <span id="1306">1306</span> |
| <span id="1307">1307</span> |
| <span id="1308">1308</span> |
| <span id="1309">1309</span> |
| <span id="1310">1310</span> |
| <span id="1311">1311</span> |
| <span id="1312">1312</span> |
| <span id="1313">1313</span> |
| <span id="1314">1314</span> |
| <span id="1315">1315</span> |
| <span id="1316">1316</span> |
| <span id="1317">1317</span> |
| <span id="1318">1318</span> |
| <span id="1319">1319</span> |
| <span id="1320">1320</span> |
| <span id="1321">1321</span> |
| <span id="1322">1322</span> |
| <span id="1323">1323</span> |
| <span id="1324">1324</span> |
| <span id="1325">1325</span> |
| <span id="1326">1326</span> |
| <span id="1327">1327</span> |
| <span id="1328">1328</span> |
| <span id="1329">1329</span> |
| <span id="1330">1330</span> |
| <span id="1331">1331</span> |
| <span id="1332">1332</span> |
| <span id="1333">1333</span> |
| <span id="1334">1334</span> |
| <span id="1335">1335</span> |
| <span id="1336">1336</span> |
| <span id="1337">1337</span> |
| <span id="1338">1338</span> |
| <span id="1339">1339</span> |
| <span id="1340">1340</span> |
| <span id="1341">1341</span> |
| <span id="1342">1342</span> |
| <span id="1343">1343</span> |
| <span id="1344">1344</span> |
| <span id="1345">1345</span> |
| <span id="1346">1346</span> |
| <span id="1347">1347</span> |
| <span id="1348">1348</span> |
| <span id="1349">1349</span> |
| <span id="1350">1350</span> |
| <span id="1351">1351</span> |
| <span id="1352">1352</span> |
| <span id="1353">1353</span> |
| <span id="1354">1354</span> |
| <span id="1355">1355</span> |
| <span id="1356">1356</span> |
| <span id="1357">1357</span> |
| <span id="1358">1358</span> |
| <span id="1359">1359</span> |
| <span id="1360">1360</span> |
| <span id="1361">1361</span> |
| <span id="1362">1362</span> |
| <span id="1363">1363</span> |
| <span id="1364">1364</span> |
| <span id="1365">1365</span> |
| <span id="1366">1366</span> |
| <span id="1367">1367</span> |
| <span id="1368">1368</span> |
| <span id="1369">1369</span> |
| <span id="1370">1370</span> |
| <span id="1371">1371</span> |
| <span id="1372">1372</span> |
| <span id="1373">1373</span> |
| <span id="1374">1374</span> |
| <span id="1375">1375</span> |
| <span id="1376">1376</span> |
| <span id="1377">1377</span> |
| <span id="1378">1378</span> |
| <span id="1379">1379</span> |
| <span id="1380">1380</span> |
| <span id="1381">1381</span> |
| <span id="1382">1382</span> |
| <span id="1383">1383</span> |
| <span id="1384">1384</span> |
| <span id="1385">1385</span> |
| <span id="1386">1386</span> |
| <span id="1387">1387</span> |
| <span id="1388">1388</span> |
| <span id="1389">1389</span> |
| <span id="1390">1390</span> |
| <span id="1391">1391</span> |
| <span id="1392">1392</span> |
| <span id="1393">1393</span> |
| <span id="1394">1394</span> |
| <span id="1395">1395</span> |
| <span id="1396">1396</span> |
| <span id="1397">1397</span> |
| <span id="1398">1398</span> |
| <span id="1399">1399</span> |
| <span id="1400">1400</span> |
| <span id="1401">1401</span> |
| <span id="1402">1402</span> |
| <span id="1403">1403</span> |
| <span id="1404">1404</span> |
| <span id="1405">1405</span> |
| <span id="1406">1406</span> |
| <span id="1407">1407</span> |
| <span id="1408">1408</span> |
| <span id="1409">1409</span> |
| <span id="1410">1410</span> |
| <span id="1411">1411</span> |
| <span id="1412">1412</span> |
| <span id="1413">1413</span> |
| <span id="1414">1414</span> |
| <span id="1415">1415</span> |
| <span id="1416">1416</span> |
| <span id="1417">1417</span> |
| <span id="1418">1418</span> |
| <span id="1419">1419</span> |
| <span id="1420">1420</span> |
| <span id="1421">1421</span> |
| <span id="1422">1422</span> |
| <span id="1423">1423</span> |
| <span id="1424">1424</span> |
| <span id="1425">1425</span> |
| <span id="1426">1426</span> |
| <span id="1427">1427</span> |
| <span id="1428">1428</span> |
| <span id="1429">1429</span> |
| <span id="1430">1430</span> |
| <span id="1431">1431</span> |
| <span id="1432">1432</span> |
| <span id="1433">1433</span> |
| <span id="1434">1434</span> |
| <span id="1435">1435</span> |
| <span id="1436">1436</span> |
| <span id="1437">1437</span> |
| <span id="1438">1438</span> |
| <span id="1439">1439</span> |
| <span id="1440">1440</span> |
| <span id="1441">1441</span> |
| <span id="1442">1442</span> |
| <span id="1443">1443</span> |
| <span id="1444">1444</span> |
| <span id="1445">1445</span> |
| <span id="1446">1446</span> |
| <span id="1447">1447</span> |
| <span id="1448">1448</span> |
| <span id="1449">1449</span> |
| <span id="1450">1450</span> |
| <span id="1451">1451</span> |
| <span id="1452">1452</span> |
| <span id="1453">1453</span> |
| <span id="1454">1454</span> |
| <span id="1455">1455</span> |
| <span id="1456">1456</span> |
| <span id="1457">1457</span> |
| <span id="1458">1458</span> |
| <span id="1459">1459</span> |
| <span id="1460">1460</span> |
| <span id="1461">1461</span> |
| <span id="1462">1462</span> |
| <span id="1463">1463</span> |
| <span id="1464">1464</span> |
| <span id="1465">1465</span> |
| <span id="1466">1466</span> |
| <span id="1467">1467</span> |
| <span id="1468">1468</span> |
| <span id="1469">1469</span> |
| <span id="1470">1470</span> |
| <span id="1471">1471</span> |
| <span id="1472">1472</span> |
| <span id="1473">1473</span> |
| <span id="1474">1474</span> |
| <span id="1475">1475</span> |
| <span id="1476">1476</span> |
| <span id="1477">1477</span> |
| <span id="1478">1478</span> |
| <span id="1479">1479</span> |
| <span id="1480">1480</span> |
| <span id="1481">1481</span> |
| <span id="1482">1482</span> |
| <span id="1483">1483</span> |
| <span id="1484">1484</span> |
| <span id="1485">1485</span> |
| <span id="1486">1486</span> |
| <span id="1487">1487</span> |
| <span id="1488">1488</span> |
| <span id="1489">1489</span> |
| <span id="1490">1490</span> |
| <span id="1491">1491</span> |
| <span id="1492">1492</span> |
| <span id="1493">1493</span> |
| <span id="1494">1494</span> |
| <span id="1495">1495</span> |
| <span id="1496">1496</span> |
| <span id="1497">1497</span> |
| <span id="1498">1498</span> |
| <span id="1499">1499</span> |
| <span id="1500">1500</span> |
| <span id="1501">1501</span> |
| <span id="1502">1502</span> |
| <span id="1503">1503</span> |
| <span id="1504">1504</span> |
| <span id="1505">1505</span> |
| <span id="1506">1506</span> |
| <span id="1507">1507</span> |
| <span id="1508">1508</span> |
| <span id="1509">1509</span> |
| <span id="1510">1510</span> |
| <span id="1511">1511</span> |
| <span id="1512">1512</span> |
| <span id="1513">1513</span> |
| <span id="1514">1514</span> |
| <span id="1515">1515</span> |
| <span id="1516">1516</span> |
| <span id="1517">1517</span> |
| <span id="1518">1518</span> |
| <span id="1519">1519</span> |
| <span id="1520">1520</span> |
| <span id="1521">1521</span> |
| <span id="1522">1522</span> |
| <span id="1523">1523</span> |
| <span id="1524">1524</span> |
| <span id="1525">1525</span> |
| <span id="1526">1526</span> |
| <span id="1527">1527</span> |
| <span id="1528">1528</span> |
| <span id="1529">1529</span> |
| <span id="1530">1530</span> |
| <span id="1531">1531</span> |
| <span id="1532">1532</span> |
| <span id="1533">1533</span> |
| <span id="1534">1534</span> |
| <span id="1535">1535</span> |
| <span id="1536">1536</span> |
| <span id="1537">1537</span> |
| <span id="1538">1538</span> |
| <span id="1539">1539</span> |
| <span id="1540">1540</span> |
| <span id="1541">1541</span> |
| <span id="1542">1542</span> |
| <span id="1543">1543</span> |
| <span id="1544">1544</span> |
| <span id="1545">1545</span> |
| <span id="1546">1546</span> |
| <span id="1547">1547</span> |
| <span id="1548">1548</span> |
| <span id="1549">1549</span> |
| <span id="1550">1550</span> |
| <span id="1551">1551</span> |
| <span id="1552">1552</span> |
| <span id="1553">1553</span> |
| <span id="1554">1554</span> |
| <span id="1555">1555</span> |
| <span id="1556">1556</span> |
| <span id="1557">1557</span> |
| <span id="1558">1558</span> |
| <span id="1559">1559</span> |
| <span id="1560">1560</span> |
| <span id="1561">1561</span> |
| <span id="1562">1562</span> |
| <span id="1563">1563</span> |
| <span id="1564">1564</span> |
| <span id="1565">1565</span> |
| <span id="1566">1566</span> |
| <span id="1567">1567</span> |
| <span id="1568">1568</span> |
| <span id="1569">1569</span> |
| <span id="1570">1570</span> |
| <span id="1571">1571</span> |
| <span id="1572">1572</span> |
| <span id="1573">1573</span> |
| <span id="1574">1574</span> |
| <span id="1575">1575</span> |
| <span id="1576">1576</span> |
| <span id="1577">1577</span> |
| <span id="1578">1578</span> |
| <span id="1579">1579</span> |
| <span id="1580">1580</span> |
| <span id="1581">1581</span> |
| <span id="1582">1582</span> |
| <span id="1583">1583</span> |
| <span id="1584">1584</span> |
| <span id="1585">1585</span> |
| <span id="1586">1586</span> |
| <span id="1587">1587</span> |
| <span id="1588">1588</span> |
| <span id="1589">1589</span> |
| <span id="1590">1590</span> |
| <span id="1591">1591</span> |
| <span id="1592">1592</span> |
| <span id="1593">1593</span> |
| <span id="1594">1594</span> |
| <span id="1595">1595</span> |
| <span id="1596">1596</span> |
| <span id="1597">1597</span> |
| <span id="1598">1598</span> |
| <span id="1599">1599</span> |
| <span id="1600">1600</span> |
| <span id="1601">1601</span> |
| <span id="1602">1602</span> |
| <span id="1603">1603</span> |
| <span id="1604">1604</span> |
| <span id="1605">1605</span> |
| <span id="1606">1606</span> |
| <span id="1607">1607</span> |
| <span id="1608">1608</span> |
| <span id="1609">1609</span> |
| <span id="1610">1610</span> |
| <span id="1611">1611</span> |
| <span id="1612">1612</span> |
| <span id="1613">1613</span> |
| <span id="1614">1614</span> |
| <span id="1615">1615</span> |
| <span id="1616">1616</span> |
| <span id="1617">1617</span> |
| <span id="1618">1618</span> |
| <span id="1619">1619</span> |
| <span id="1620">1620</span> |
| <span id="1621">1621</span> |
| <span id="1622">1622</span> |
| <span id="1623">1623</span> |
| <span id="1624">1624</span> |
| <span id="1625">1625</span> |
| <span id="1626">1626</span> |
| <span id="1627">1627</span> |
| <span id="1628">1628</span> |
| <span id="1629">1629</span> |
| <span id="1630">1630</span> |
| <span id="1631">1631</span> |
| <span id="1632">1632</span> |
| <span id="1633">1633</span> |
| <span id="1634">1634</span> |
| <span id="1635">1635</span> |
| <span id="1636">1636</span> |
| <span id="1637">1637</span> |
| <span id="1638">1638</span> |
| <span id="1639">1639</span> |
| <span id="1640">1640</span> |
| <span id="1641">1641</span> |
| <span id="1642">1642</span> |
| <span id="1643">1643</span> |
| <span id="1644">1644</span> |
| <span id="1645">1645</span> |
| <span id="1646">1646</span> |
| <span id="1647">1647</span> |
| <span id="1648">1648</span> |
| <span id="1649">1649</span> |
| <span id="1650">1650</span> |
| <span id="1651">1651</span> |
| <span id="1652">1652</span> |
| <span id="1653">1653</span> |
| <span id="1654">1654</span> |
| <span id="1655">1655</span> |
| <span id="1656">1656</span> |
| <span id="1657">1657</span> |
| <span id="1658">1658</span> |
| <span id="1659">1659</span> |
| <span id="1660">1660</span> |
| <span id="1661">1661</span> |
| <span id="1662">1662</span> |
| <span id="1663">1663</span> |
| <span id="1664">1664</span> |
| <span id="1665">1665</span> |
| <span id="1666">1666</span> |
| <span id="1667">1667</span> |
| <span id="1668">1668</span> |
| <span id="1669">1669</span> |
| <span id="1670">1670</span> |
| <span id="1671">1671</span> |
| <span id="1672">1672</span> |
| <span id="1673">1673</span> |
| <span id="1674">1674</span> |
| <span id="1675">1675</span> |
| <span id="1676">1676</span> |
| <span id="1677">1677</span> |
| <span id="1678">1678</span> |
| <span id="1679">1679</span> |
| <span id="1680">1680</span> |
| <span id="1681">1681</span> |
| <span id="1682">1682</span> |
| <span id="1683">1683</span> |
| <span id="1684">1684</span> |
| <span id="1685">1685</span> |
| <span id="1686">1686</span> |
| <span id="1687">1687</span> |
| <span id="1688">1688</span> |
| <span id="1689">1689</span> |
| <span id="1690">1690</span> |
| <span id="1691">1691</span> |
| <span id="1692">1692</span> |
| <span id="1693">1693</span> |
| <span id="1694">1694</span> |
| <span id="1695">1695</span> |
| <span id="1696">1696</span> |
| <span id="1697">1697</span> |
| <span id="1698">1698</span> |
| <span id="1699">1699</span> |
| <span id="1700">1700</span> |
| <span id="1701">1701</span> |
| <span id="1702">1702</span> |
| <span id="1703">1703</span> |
| <span id="1704">1704</span> |
| <span id="1705">1705</span> |
| <span id="1706">1706</span> |
| <span id="1707">1707</span> |
| <span id="1708">1708</span> |
| <span id="1709">1709</span> |
| <span id="1710">1710</span> |
| <span id="1711">1711</span> |
| <span id="1712">1712</span> |
| <span id="1713">1713</span> |
| <span id="1714">1714</span> |
| <span id="1715">1715</span> |
| <span id="1716">1716</span> |
| <span id="1717">1717</span> |
| <span id="1718">1718</span> |
| <span id="1719">1719</span> |
| <span id="1720">1720</span> |
| <span id="1721">1721</span> |
| <span id="1722">1722</span> |
| <span id="1723">1723</span> |
| <span id="1724">1724</span> |
| <span id="1725">1725</span> |
| <span id="1726">1726</span> |
| <span id="1727">1727</span> |
| <span id="1728">1728</span> |
| <span id="1729">1729</span> |
| <span id="1730">1730</span> |
| <span id="1731">1731</span> |
| <span id="1732">1732</span> |
| <span id="1733">1733</span> |
| <span id="1734">1734</span> |
| <span id="1735">1735</span> |
| <span id="1736">1736</span> |
| <span id="1737">1737</span> |
| <span id="1738">1738</span> |
| <span id="1739">1739</span> |
| <span id="1740">1740</span> |
| <span id="1741">1741</span> |
| <span id="1742">1742</span> |
| <span id="1743">1743</span> |
| <span id="1744">1744</span> |
| <span id="1745">1745</span> |
| <span id="1746">1746</span> |
| <span id="1747">1747</span> |
| <span id="1748">1748</span> |
| <span id="1749">1749</span> |
| <span id="1750">1750</span> |
| <span id="1751">1751</span> |
| <span id="1752">1752</span> |
| <span id="1753">1753</span> |
| <span id="1754">1754</span> |
| <span id="1755">1755</span> |
| <span id="1756">1756</span> |
| <span id="1757">1757</span> |
| <span id="1758">1758</span> |
| <span id="1759">1759</span> |
| <span id="1760">1760</span> |
| <span id="1761">1761</span> |
| <span id="1762">1762</span> |
| <span id="1763">1763</span> |
| <span id="1764">1764</span> |
| <span id="1765">1765</span> |
| <span id="1766">1766</span> |
| <span id="1767">1767</span> |
| <span id="1768">1768</span> |
| <span id="1769">1769</span> |
| <span id="1770">1770</span> |
| <span id="1771">1771</span> |
| <span id="1772">1772</span> |
| <span id="1773">1773</span> |
| <span id="1774">1774</span> |
| <span id="1775">1775</span> |
| <span id="1776">1776</span> |
| <span id="1777">1777</span> |
| <span id="1778">1778</span> |
| <span id="1779">1779</span> |
| <span id="1780">1780</span> |
| <span id="1781">1781</span> |
| <span id="1782">1782</span> |
| <span id="1783">1783</span> |
| <span id="1784">1784</span> |
| <span id="1785">1785</span> |
| <span id="1786">1786</span> |
| <span id="1787">1787</span> |
| <span id="1788">1788</span> |
| <span id="1789">1789</span> |
| <span id="1790">1790</span> |
| <span id="1791">1791</span> |
| <span id="1792">1792</span> |
| <span id="1793">1793</span> |
| <span id="1794">1794</span> |
| <span id="1795">1795</span> |
| <span id="1796">1796</span> |
| <span id="1797">1797</span> |
| <span id="1798">1798</span> |
| <span id="1799">1799</span> |
| <span id="1800">1800</span> |
| <span id="1801">1801</span> |
| <span id="1802">1802</span> |
| <span id="1803">1803</span> |
| <span id="1804">1804</span> |
| <span id="1805">1805</span> |
| <span id="1806">1806</span> |
| <span id="1807">1807</span> |
| <span id="1808">1808</span> |
| <span id="1809">1809</span> |
| <span id="1810">1810</span> |
| <span id="1811">1811</span> |
| <span id="1812">1812</span> |
| <span id="1813">1813</span> |
| <span id="1814">1814</span> |
| <span id="1815">1815</span> |
| <span id="1816">1816</span> |
| <span id="1817">1817</span> |
| <span id="1818">1818</span> |
| <span id="1819">1819</span> |
| <span id="1820">1820</span> |
| <span id="1821">1821</span> |
| <span id="1822">1822</span> |
| <span id="1823">1823</span> |
| <span id="1824">1824</span> |
| <span id="1825">1825</span> |
| <span id="1826">1826</span> |
| <span id="1827">1827</span> |
| <span id="1828">1828</span> |
| <span id="1829">1829</span> |
| <span id="1830">1830</span> |
| <span id="1831">1831</span> |
| <span id="1832">1832</span> |
| <span id="1833">1833</span> |
| <span id="1834">1834</span> |
| <span id="1835">1835</span> |
| <span id="1836">1836</span> |
| <span id="1837">1837</span> |
| <span id="1838">1838</span> |
| <span id="1839">1839</span> |
| <span id="1840">1840</span> |
| <span id="1841">1841</span> |
| <span id="1842">1842</span> |
| <span id="1843">1843</span> |
| <span id="1844">1844</span> |
| <span id="1845">1845</span> |
| <span id="1846">1846</span> |
| <span id="1847">1847</span> |
| <span id="1848">1848</span> |
| <span id="1849">1849</span> |
| <span id="1850">1850</span> |
| <span id="1851">1851</span> |
| <span id="1852">1852</span> |
| <span id="1853">1853</span> |
| <span id="1854">1854</span> |
| <span id="1855">1855</span> |
| <span id="1856">1856</span> |
| <span id="1857">1857</span> |
| <span id="1858">1858</span> |
| <span id="1859">1859</span> |
| <span id="1860">1860</span> |
| <span id="1861">1861</span> |
| <span id="1862">1862</span> |
| <span id="1863">1863</span> |
| <span id="1864">1864</span> |
| <span id="1865">1865</span> |
| <span id="1866">1866</span> |
| <span id="1867">1867</span> |
| <span id="1868">1868</span> |
| <span id="1869">1869</span> |
| <span id="1870">1870</span> |
| <span id="1871">1871</span> |
| <span id="1872">1872</span> |
| <span id="1873">1873</span> |
| <span id="1874">1874</span> |
| <span id="1875">1875</span> |
| <span id="1876">1876</span> |
| <span id="1877">1877</span> |
| <span id="1878">1878</span> |
| <span id="1879">1879</span> |
| <span id="1880">1880</span> |
| <span id="1881">1881</span> |
| <span id="1882">1882</span> |
| <span id="1883">1883</span> |
| <span id="1884">1884</span> |
| <span id="1885">1885</span> |
| <span id="1886">1886</span> |
| <span id="1887">1887</span> |
| <span id="1888">1888</span> |
| <span id="1889">1889</span> |
| <span id="1890">1890</span> |
| <span id="1891">1891</span> |
| <span id="1892">1892</span> |
| <span id="1893">1893</span> |
| <span id="1894">1894</span> |
| <span id="1895">1895</span> |
| <span id="1896">1896</span> |
| <span id="1897">1897</span> |
| <span id="1898">1898</span> |
| <span id="1899">1899</span> |
| <span id="1900">1900</span> |
| <span id="1901">1901</span> |
| <span id="1902">1902</span> |
| <span id="1903">1903</span> |
| <span id="1904">1904</span> |
| <span id="1905">1905</span> |
| <span id="1906">1906</span> |
| <span id="1907">1907</span> |
| <span id="1908">1908</span> |
| <span id="1909">1909</span> |
| <span id="1910">1910</span> |
| <span id="1911">1911</span> |
| <span id="1912">1912</span> |
| <span id="1913">1913</span> |
| <span id="1914">1914</span> |
| <span id="1915">1915</span> |
| <span id="1916">1916</span> |
| <span id="1917">1917</span> |
| <span id="1918">1918</span> |
| <span id="1919">1919</span> |
| <span id="1920">1920</span> |
| <span id="1921">1921</span> |
| <span id="1922">1922</span> |
| <span id="1923">1923</span> |
| <span id="1924">1924</span> |
| <span id="1925">1925</span> |
| <span id="1926">1926</span> |
| <span id="1927">1927</span> |
| <span id="1928">1928</span> |
| <span id="1929">1929</span> |
| <span id="1930">1930</span> |
| <span id="1931">1931</span> |
| <span id="1932">1932</span> |
| <span id="1933">1933</span> |
| <span id="1934">1934</span> |
| <span id="1935">1935</span> |
| <span id="1936">1936</span> |
| <span id="1937">1937</span> |
| <span id="1938">1938</span> |
| <span id="1939">1939</span> |
| <span id="1940">1940</span> |
| <span id="1941">1941</span> |
| <span id="1942">1942</span> |
| <span id="1943">1943</span> |
| <span id="1944">1944</span> |
| <span id="1945">1945</span> |
| <span id="1946">1946</span> |
| <span id="1947">1947</span> |
| <span id="1948">1948</span> |
| <span id="1949">1949</span> |
| <span id="1950">1950</span> |
| <span id="1951">1951</span> |
| <span id="1952">1952</span> |
| <span id="1953">1953</span> |
| <span id="1954">1954</span> |
| <span id="1955">1955</span> |
| <span id="1956">1956</span> |
| <span id="1957">1957</span> |
| <span id="1958">1958</span> |
| <span id="1959">1959</span> |
| <span id="1960">1960</span> |
| <span id="1961">1961</span> |
| <span id="1962">1962</span> |
| <span id="1963">1963</span> |
| <span id="1964">1964</span> |
| <span id="1965">1965</span> |
| <span id="1966">1966</span> |
| <span id="1967">1967</span> |
| <span id="1968">1968</span> |
| <span id="1969">1969</span> |
| <span id="1970">1970</span> |
| <span id="1971">1971</span> |
| <span id="1972">1972</span> |
| <span id="1973">1973</span> |
| <span id="1974">1974</span> |
| <span id="1975">1975</span> |
| <span id="1976">1976</span> |
| <span id="1977">1977</span> |
| <span id="1978">1978</span> |
| <span id="1979">1979</span> |
| <span id="1980">1980</span> |
| <span id="1981">1981</span> |
| <span id="1982">1982</span> |
| <span id="1983">1983</span> |
| <span id="1984">1984</span> |
| <span id="1985">1985</span> |
| <span id="1986">1986</span> |
| <span id="1987">1987</span> |
| <span id="1988">1988</span> |
| <span id="1989">1989</span> |
| <span id="1990">1990</span> |
| <span id="1991">1991</span> |
| <span id="1992">1992</span> |
| <span id="1993">1993</span> |
| <span id="1994">1994</span> |
| <span id="1995">1995</span> |
| <span id="1996">1996</span> |
| <span id="1997">1997</span> |
| <span id="1998">1998</span> |
| <span id="1999">1999</span> |
| <span id="2000">2000</span> |
| <span id="2001">2001</span> |
| <span id="2002">2002</span> |
| <span id="2003">2003</span> |
| <span id="2004">2004</span> |
| <span id="2005">2005</span> |
| <span id="2006">2006</span> |
| <span id="2007">2007</span> |
| <span id="2008">2008</span> |
| <span id="2009">2009</span> |
| <span id="2010">2010</span> |
| <span id="2011">2011</span> |
| <span id="2012">2012</span> |
| <span id="2013">2013</span> |
| <span id="2014">2014</span> |
| <span id="2015">2015</span> |
| <span id="2016">2016</span> |
| <span id="2017">2017</span> |
| <span id="2018">2018</span> |
| <span id="2019">2019</span> |
| <span id="2020">2020</span> |
| <span id="2021">2021</span> |
| <span id="2022">2022</span> |
| <span id="2023">2023</span> |
| <span id="2024">2024</span> |
| <span id="2025">2025</span> |
| <span id="2026">2026</span> |
| <span id="2027">2027</span> |
| <span id="2028">2028</span> |
| <span id="2029">2029</span> |
| <span id="2030">2030</span> |
| <span id="2031">2031</span> |
| <span id="2032">2032</span> |
| <span id="2033">2033</span> |
| <span id="2034">2034</span> |
| <span id="2035">2035</span> |
| <span id="2036">2036</span> |
| <span id="2037">2037</span> |
| <span id="2038">2038</span> |
| <span id="2039">2039</span> |
| <span id="2040">2040</span> |
| <span id="2041">2041</span> |
| <span id="2042">2042</span> |
| <span id="2043">2043</span> |
| <span id="2044">2044</span> |
| <span id="2045">2045</span> |
| <span id="2046">2046</span> |
| <span id="2047">2047</span> |
| <span id="2048">2048</span> |
| <span id="2049">2049</span> |
| <span id="2050">2050</span> |
| <span id="2051">2051</span> |
| <span id="2052">2052</span> |
| <span id="2053">2053</span> |
| <span id="2054">2054</span> |
| <span id="2055">2055</span> |
| <span id="2056">2056</span> |
| <span id="2057">2057</span> |
| <span id="2058">2058</span> |
| <span id="2059">2059</span> |
| <span id="2060">2060</span> |
| <span id="2061">2061</span> |
| <span id="2062">2062</span> |
| <span id="2063">2063</span> |
| <span id="2064">2064</span> |
| <span id="2065">2065</span> |
| <span id="2066">2066</span> |
| <span id="2067">2067</span> |
| <span id="2068">2068</span> |
| <span id="2069">2069</span> |
| <span id="2070">2070</span> |
| <span id="2071">2071</span> |
| <span id="2072">2072</span> |
| <span id="2073">2073</span> |
| <span id="2074">2074</span> |
| <span id="2075">2075</span> |
| <span id="2076">2076</span> |
| <span id="2077">2077</span> |
| <span id="2078">2078</span> |
| <span id="2079">2079</span> |
| <span id="2080">2080</span> |
| <span id="2081">2081</span> |
| <span id="2082">2082</span> |
| <span id="2083">2083</span> |
| <span id="2084">2084</span> |
| <span id="2085">2085</span> |
| <span id="2086">2086</span> |
| <span id="2087">2087</span> |
| <span id="2088">2088</span> |
| <span id="2089">2089</span> |
| <span id="2090">2090</span> |
| <span id="2091">2091</span> |
| <span id="2092">2092</span> |
| <span id="2093">2093</span> |
| <span id="2094">2094</span> |
| <span id="2095">2095</span> |
| <span id="2096">2096</span> |
| <span id="2097">2097</span> |
| <span id="2098">2098</span> |
| <span id="2099">2099</span> |
| <span id="2100">2100</span> |
| <span id="2101">2101</span> |
| <span id="2102">2102</span> |
| <span id="2103">2103</span> |
| <span id="2104">2104</span> |
| <span id="2105">2105</span> |
| <span id="2106">2106</span> |
| <span id="2107">2107</span> |
| <span id="2108">2108</span> |
| <span id="2109">2109</span> |
| <span id="2110">2110</span> |
| <span id="2111">2111</span> |
| <span id="2112">2112</span> |
| <span id="2113">2113</span> |
| <span id="2114">2114</span> |
| <span id="2115">2115</span> |
| <span id="2116">2116</span> |
| <span id="2117">2117</span> |
| <span id="2118">2118</span> |
| <span id="2119">2119</span> |
| <span id="2120">2120</span> |
| <span id="2121">2121</span> |
| <span id="2122">2122</span> |
| <span id="2123">2123</span> |
| <span id="2124">2124</span> |
| <span id="2125">2125</span> |
| <span id="2126">2126</span> |
| <span id="2127">2127</span> |
| <span id="2128">2128</span> |
| <span id="2129">2129</span> |
| <span id="2130">2130</span> |
| <span id="2131">2131</span> |
| <span id="2132">2132</span> |
| <span id="2133">2133</span> |
| <span id="2134">2134</span> |
| <span id="2135">2135</span> |
| <span id="2136">2136</span> |
| <span id="2137">2137</span> |
| <span id="2138">2138</span> |
| <span id="2139">2139</span> |
| <span id="2140">2140</span> |
| <span id="2141">2141</span> |
| <span id="2142">2142</span> |
| <span id="2143">2143</span> |
| <span id="2144">2144</span> |
| <span id="2145">2145</span> |
| <span id="2146">2146</span> |
| <span id="2147">2147</span> |
| <span id="2148">2148</span> |
| <span id="2149">2149</span> |
| <span id="2150">2150</span> |
| <span id="2151">2151</span> |
| <span id="2152">2152</span> |
| <span id="2153">2153</span> |
| <span id="2154">2154</span> |
| <span id="2155">2155</span> |
| <span id="2156">2156</span> |
| <span id="2157">2157</span> |
| <span id="2158">2158</span> |
| <span id="2159">2159</span> |
| <span id="2160">2160</span> |
| <span id="2161">2161</span> |
| <span id="2162">2162</span> |
| <span id="2163">2163</span> |
| <span id="2164">2164</span> |
| <span id="2165">2165</span> |
| <span id="2166">2166</span> |
| <span id="2167">2167</span> |
| <span id="2168">2168</span> |
| <span id="2169">2169</span> |
| <span id="2170">2170</span> |
| <span id="2171">2171</span> |
| <span id="2172">2172</span> |
| <span id="2173">2173</span> |
| <span id="2174">2174</span> |
| <span id="2175">2175</span> |
| <span id="2176">2176</span> |
| <span id="2177">2177</span> |
| <span id="2178">2178</span> |
| <span id="2179">2179</span> |
| <span id="2180">2180</span> |
| <span id="2181">2181</span> |
| <span id="2182">2182</span> |
| <span id="2183">2183</span> |
| <span id="2184">2184</span> |
| <span id="2185">2185</span> |
| <span id="2186">2186</span> |
| <span id="2187">2187</span> |
| <span id="2188">2188</span> |
| <span id="2189">2189</span> |
| <span id="2190">2190</span> |
| <span id="2191">2191</span> |
| <span id="2192">2192</span> |
| <span id="2193">2193</span> |
| <span id="2194">2194</span> |
| <span id="2195">2195</span> |
| <span id="2196">2196</span> |
| <span id="2197">2197</span> |
| <span id="2198">2198</span> |
| <span id="2199">2199</span> |
| <span id="2200">2200</span> |
| <span id="2201">2201</span> |
| <span id="2202">2202</span> |
| <span id="2203">2203</span> |
| <span id="2204">2204</span> |
| <span id="2205">2205</span> |
| <span id="2206">2206</span> |
| <span id="2207">2207</span> |
| <span id="2208">2208</span> |
| <span id="2209">2209</span> |
| <span id="2210">2210</span> |
| <span id="2211">2211</span> |
| <span id="2212">2212</span> |
| <span id="2213">2213</span> |
| <span id="2214">2214</span> |
| <span id="2215">2215</span> |
| <span id="2216">2216</span> |
| <span id="2217">2217</span> |
| <span id="2218">2218</span> |
| <span id="2219">2219</span> |
| <span id="2220">2220</span> |
| <span id="2221">2221</span> |
| <span id="2222">2222</span> |
| <span id="2223">2223</span> |
| <span id="2224">2224</span> |
| <span id="2225">2225</span> |
| <span id="2226">2226</span> |
| <span id="2227">2227</span> |
| <span id="2228">2228</span> |
| <span id="2229">2229</span> |
| <span id="2230">2230</span> |
| <span id="2231">2231</span> |
| <span id="2232">2232</span> |
| <span id="2233">2233</span> |
| <span id="2234">2234</span> |
| <span id="2235">2235</span> |
| <span id="2236">2236</span> |
| <span id="2237">2237</span> |
| <span id="2238">2238</span> |
| <span id="2239">2239</span> |
| <span id="2240">2240</span> |
| <span id="2241">2241</span> |
| <span id="2242">2242</span> |
| <span id="2243">2243</span> |
| <span id="2244">2244</span> |
| <span id="2245">2245</span> |
| <span id="2246">2246</span> |
| <span id="2247">2247</span> |
| <span id="2248">2248</span> |
| <span id="2249">2249</span> |
| <span id="2250">2250</span> |
| <span id="2251">2251</span> |
| <span id="2252">2252</span> |
| <span id="2253">2253</span> |
| <span id="2254">2254</span> |
| <span id="2255">2255</span> |
| <span id="2256">2256</span> |
| <span id="2257">2257</span> |
| <span id="2258">2258</span> |
| <span id="2259">2259</span> |
| <span id="2260">2260</span> |
| <span id="2261">2261</span> |
| <span id="2262">2262</span> |
| <span id="2263">2263</span> |
| <span id="2264">2264</span> |
| <span id="2265">2265</span> |
| <span id="2266">2266</span> |
| <span id="2267">2267</span> |
| <span id="2268">2268</span> |
| <span id="2269">2269</span> |
| <span id="2270">2270</span> |
| <span id="2271">2271</span> |
| <span id="2272">2272</span> |
| <span id="2273">2273</span> |
| <span id="2274">2274</span> |
| <span id="2275">2275</span> |
| <span id="2276">2276</span> |
| <span id="2277">2277</span> |
| <span id="2278">2278</span> |
| <span id="2279">2279</span> |
| <span id="2280">2280</span> |
| <span id="2281">2281</span> |
| <span id="2282">2282</span> |
| <span id="2283">2283</span> |
| <span id="2284">2284</span> |
| <span id="2285">2285</span> |
| <span id="2286">2286</span> |
| <span id="2287">2287</span> |
| <span id="2288">2288</span> |
| <span id="2289">2289</span> |
| <span id="2290">2290</span> |
| <span id="2291">2291</span> |
| <span id="2292">2292</span> |
| <span id="2293">2293</span> |
| <span id="2294">2294</span> |
| <span id="2295">2295</span> |
| <span id="2296">2296</span> |
| <span id="2297">2297</span> |
| <span id="2298">2298</span> |
| <span id="2299">2299</span> |
| <span id="2300">2300</span> |
| <span id="2301">2301</span> |
| <span id="2302">2302</span> |
| <span id="2303">2303</span> |
| <span id="2304">2304</span> |
| <span id="2305">2305</span> |
| <span id="2306">2306</span> |
| <span id="2307">2307</span> |
| <span id="2308">2308</span> |
| <span id="2309">2309</span> |
| <span id="2310">2310</span> |
| <span id="2311">2311</span> |
| <span id="2312">2312</span> |
| <span id="2313">2313</span> |
| <span id="2314">2314</span> |
| <span id="2315">2315</span> |
| <span id="2316">2316</span> |
| <span id="2317">2317</span> |
| <span id="2318">2318</span> |
| <span id="2319">2319</span> |
| <span id="2320">2320</span> |
| <span id="2321">2321</span> |
| <span id="2322">2322</span> |
| <span id="2323">2323</span> |
| <span id="2324">2324</span> |
| <span id="2325">2325</span> |
| <span id="2326">2326</span> |
| <span id="2327">2327</span> |
| <span id="2328">2328</span> |
| <span id="2329">2329</span> |
| <span id="2330">2330</span> |
| <span id="2331">2331</span> |
| <span id="2332">2332</span> |
| <span id="2333">2333</span> |
| <span id="2334">2334</span> |
| <span id="2335">2335</span> |
| <span id="2336">2336</span> |
| <span id="2337">2337</span> |
| <span id="2338">2338</span> |
| <span id="2339">2339</span> |
| <span id="2340">2340</span> |
| <span id="2341">2341</span> |
| <span id="2342">2342</span> |
| <span id="2343">2343</span> |
| <span id="2344">2344</span> |
| <span id="2345">2345</span> |
| <span id="2346">2346</span> |
| <span id="2347">2347</span> |
| <span id="2348">2348</span> |
| <span id="2349">2349</span> |
| <span id="2350">2350</span> |
| <span id="2351">2351</span> |
| <span id="2352">2352</span> |
| <span id="2353">2353</span> |
| <span id="2354">2354</span> |
| <span id="2355">2355</span> |
| <span id="2356">2356</span> |
| <span id="2357">2357</span> |
| <span id="2358">2358</span> |
| <span id="2359">2359</span> |
| <span id="2360">2360</span> |
| <span id="2361">2361</span> |
| <span id="2362">2362</span> |
| <span id="2363">2363</span> |
| <span id="2364">2364</span> |
| <span id="2365">2365</span> |
| <span id="2366">2366</span> |
| <span id="2367">2367</span> |
| <span id="2368">2368</span> |
| <span id="2369">2369</span> |
| <span id="2370">2370</span> |
| <span id="2371">2371</span> |
| <span id="2372">2372</span> |
| <span id="2373">2373</span> |
| <span id="2374">2374</span> |
| <span id="2375">2375</span> |
| <span id="2376">2376</span> |
| <span id="2377">2377</span> |
| <span id="2378">2378</span> |
| <span id="2379">2379</span> |
| <span id="2380">2380</span> |
| <span id="2381">2381</span> |
| <span id="2382">2382</span> |
| <span id="2383">2383</span> |
| <span id="2384">2384</span> |
| <span id="2385">2385</span> |
| <span id="2386">2386</span> |
| <span id="2387">2387</span> |
| <span id="2388">2388</span> |
| <span id="2389">2389</span> |
| <span id="2390">2390</span> |
| <span id="2391">2391</span> |
| <span id="2392">2392</span> |
| <span id="2393">2393</span> |
| <span id="2394">2394</span> |
| <span id="2395">2395</span> |
| <span id="2396">2396</span> |
| <span id="2397">2397</span> |
| <span id="2398">2398</span> |
| <span id="2399">2399</span> |
| <span id="2400">2400</span> |
| <span id="2401">2401</span> |
| <span id="2402">2402</span> |
| <span id="2403">2403</span> |
| <span id="2404">2404</span> |
| <span id="2405">2405</span> |
| <span id="2406">2406</span> |
| <span id="2407">2407</span> |
| <span id="2408">2408</span> |
| <span id="2409">2409</span> |
| <span id="2410">2410</span> |
| <span id="2411">2411</span> |
| <span id="2412">2412</span> |
| <span id="2413">2413</span> |
| <span id="2414">2414</span> |
| <span id="2415">2415</span> |
| <span id="2416">2416</span> |
| <span id="2417">2417</span> |
| <span id="2418">2418</span> |
| <span id="2419">2419</span> |
| <span id="2420">2420</span> |
| <span id="2421">2421</span> |
| <span id="2422">2422</span> |
| <span id="2423">2423</span> |
| <span id="2424">2424</span> |
| <span id="2425">2425</span> |
| <span id="2426">2426</span> |
| <span id="2427">2427</span> |
| <span id="2428">2428</span> |
| <span id="2429">2429</span> |
| <span id="2430">2430</span> |
| <span id="2431">2431</span> |
| <span id="2432">2432</span> |
| <span id="2433">2433</span> |
| <span id="2434">2434</span> |
| <span id="2435">2435</span> |
| <span id="2436">2436</span> |
| <span id="2437">2437</span> |
| <span id="2438">2438</span> |
| <span id="2439">2439</span> |
| <span id="2440">2440</span> |
| <span id="2441">2441</span> |
| <span id="2442">2442</span> |
| <span id="2443">2443</span> |
| <span id="2444">2444</span> |
| <span id="2445">2445</span> |
| <span id="2446">2446</span> |
| <span id="2447">2447</span> |
| <span id="2448">2448</span> |
| <span id="2449">2449</span> |
| <span id="2450">2450</span> |
| <span id="2451">2451</span> |
| <span id="2452">2452</span> |
| <span id="2453">2453</span> |
| <span id="2454">2454</span> |
| <span id="2455">2455</span> |
| <span id="2456">2456</span> |
| <span id="2457">2457</span> |
| <span id="2458">2458</span> |
| <span id="2459">2459</span> |
| <span id="2460">2460</span> |
| <span id="2461">2461</span> |
| <span id="2462">2462</span> |
| <span id="2463">2463</span> |
| <span id="2464">2464</span> |
| <span id="2465">2465</span> |
| <span id="2466">2466</span> |
| <span id="2467">2467</span> |
| <span id="2468">2468</span> |
| <span id="2469">2469</span> |
| <span id="2470">2470</span> |
| <span id="2471">2471</span> |
| <span id="2472">2472</span> |
| <span id="2473">2473</span> |
| <span id="2474">2474</span> |
| <span id="2475">2475</span> |
| <span id="2476">2476</span> |
| <span id="2477">2477</span> |
| <span id="2478">2478</span> |
| <span id="2479">2479</span> |
| <span id="2480">2480</span> |
| <span id="2481">2481</span> |
| <span id="2482">2482</span> |
| <span id="2483">2483</span> |
| <span id="2484">2484</span> |
| <span id="2485">2485</span> |
| <span id="2486">2486</span> |
| <span id="2487">2487</span> |
| <span id="2488">2488</span> |
| <span id="2489">2489</span> |
| <span id="2490">2490</span> |
| <span id="2491">2491</span> |
| <span id="2492">2492</span> |
| <span id="2493">2493</span> |
| <span id="2494">2494</span> |
| <span id="2495">2495</span> |
| <span id="2496">2496</span> |
| <span id="2497">2497</span> |
| <span id="2498">2498</span> |
| <span id="2499">2499</span> |
| <span id="2500">2500</span> |
| <span id="2501">2501</span> |
| <span id="2502">2502</span> |
| <span id="2503">2503</span> |
| <span id="2504">2504</span> |
| <span id="2505">2505</span> |
| <span id="2506">2506</span> |
| <span id="2507">2507</span> |
| <span id="2508">2508</span> |
| <span id="2509">2509</span> |
| <span id="2510">2510</span> |
| <span id="2511">2511</span> |
| <span id="2512">2512</span> |
| <span id="2513">2513</span> |
| <span id="2514">2514</span> |
| <span id="2515">2515</span> |
| <span id="2516">2516</span> |
| <span id="2517">2517</span> |
| <span id="2518">2518</span> |
| <span id="2519">2519</span> |
| <span id="2520">2520</span> |
| <span id="2521">2521</span> |
| <span id="2522">2522</span> |
| <span id="2523">2523</span> |
| <span id="2524">2524</span> |
| <span id="2525">2525</span> |
| <span id="2526">2526</span> |
| <span id="2527">2527</span> |
| <span id="2528">2528</span> |
| <span id="2529">2529</span> |
| <span id="2530">2530</span> |
| <span id="2531">2531</span> |
| <span id="2532">2532</span> |
| <span id="2533">2533</span> |
| <span id="2534">2534</span> |
| <span id="2535">2535</span> |
| <span id="2536">2536</span> |
| <span id="2537">2537</span> |
| <span id="2538">2538</span> |
| <span id="2539">2539</span> |
| <span id="2540">2540</span> |
| <span id="2541">2541</span> |
| <span id="2542">2542</span> |
| <span id="2543">2543</span> |
| <span id="2544">2544</span> |
| <span id="2545">2545</span> |
| <span id="2546">2546</span> |
| <span id="2547">2547</span> |
| <span id="2548">2548</span> |
| <span id="2549">2549</span> |
| <span id="2550">2550</span> |
| <span id="2551">2551</span> |
| <span id="2552">2552</span> |
| <span id="2553">2553</span> |
| <span id="2554">2554</span> |
| <span id="2555">2555</span> |
| <span id="2556">2556</span> |
| <span id="2557">2557</span> |
| <span id="2558">2558</span> |
| <span id="2559">2559</span> |
| <span id="2560">2560</span> |
| <span id="2561">2561</span> |
| <span id="2562">2562</span> |
| <span id="2563">2563</span> |
| <span id="2564">2564</span> |
| <span id="2565">2565</span> |
| <span id="2566">2566</span> |
| <span id="2567">2567</span> |
| <span id="2568">2568</span> |
| <span id="2569">2569</span> |
| <span id="2570">2570</span> |
| <span id="2571">2571</span> |
| <span id="2572">2572</span> |
| <span id="2573">2573</span> |
| <span id="2574">2574</span> |
| <span id="2575">2575</span> |
| <span id="2576">2576</span> |
| <span id="2577">2577</span> |
| <span id="2578">2578</span> |
| <span id="2579">2579</span> |
| <span id="2580">2580</span> |
| <span id="2581">2581</span> |
| <span id="2582">2582</span> |
| <span id="2583">2583</span> |
| <span id="2584">2584</span> |
| <span id="2585">2585</span> |
| <span id="2586">2586</span> |
| <span id="2587">2587</span> |
| <span id="2588">2588</span> |
| <span id="2589">2589</span> |
| <span id="2590">2590</span> |
| <span id="2591">2591</span> |
| <span id="2592">2592</span> |
| <span id="2593">2593</span> |
| <span id="2594">2594</span> |
| <span id="2595">2595</span> |
| <span id="2596">2596</span> |
| <span id="2597">2597</span> |
| <span id="2598">2598</span> |
| <span id="2599">2599</span> |
| <span id="2600">2600</span> |
| <span id="2601">2601</span> |
| <span id="2602">2602</span> |
| <span id="2603">2603</span> |
| <span id="2604">2604</span> |
| <span id="2605">2605</span> |
| <span id="2606">2606</span> |
| <span id="2607">2607</span> |
| <span id="2608">2608</span> |
| <span id="2609">2609</span> |
| <span id="2610">2610</span> |
| <span id="2611">2611</span> |
| <span id="2612">2612</span> |
| <span id="2613">2613</span> |
| <span id="2614">2614</span> |
| <span id="2615">2615</span> |
| <span id="2616">2616</span> |
| <span id="2617">2617</span> |
| <span id="2618">2618</span> |
| <span id="2619">2619</span> |
| <span id="2620">2620</span> |
| <span id="2621">2621</span> |
| <span id="2622">2622</span> |
| <span id="2623">2623</span> |
| <span id="2624">2624</span> |
| <span id="2625">2625</span> |
| <span id="2626">2626</span> |
| <span id="2627">2627</span> |
| <span id="2628">2628</span> |
| <span id="2629">2629</span> |
| <span id="2630">2630</span> |
| <span id="2631">2631</span> |
| <span id="2632">2632</span> |
| <span id="2633">2633</span> |
| <span id="2634">2634</span> |
| <span id="2635">2635</span> |
| <span id="2636">2636</span> |
| <span id="2637">2637</span> |
| <span id="2638">2638</span> |
| <span id="2639">2639</span> |
| <span id="2640">2640</span> |
| <span id="2641">2641</span> |
| <span id="2642">2642</span> |
| <span id="2643">2643</span> |
| <span id="2644">2644</span> |
| <span id="2645">2645</span> |
| <span id="2646">2646</span> |
| <span id="2647">2647</span> |
| <span id="2648">2648</span> |
| <span id="2649">2649</span> |
| <span id="2650">2650</span> |
| <span id="2651">2651</span> |
| <span id="2652">2652</span> |
| <span id="2653">2653</span> |
| <span id="2654">2654</span> |
| <span id="2655">2655</span> |
| <span id="2656">2656</span> |
| <span id="2657">2657</span> |
| <span id="2658">2658</span> |
| <span id="2659">2659</span> |
| <span id="2660">2660</span> |
| <span id="2661">2661</span> |
| <span id="2662">2662</span> |
| <span id="2663">2663</span> |
| <span id="2664">2664</span> |
| <span id="2665">2665</span> |
| <span id="2666">2666</span> |
| <span id="2667">2667</span> |
| <span id="2668">2668</span> |
| <span id="2669">2669</span> |
| <span id="2670">2670</span> |
| <span id="2671">2671</span> |
| <span id="2672">2672</span> |
| <span id="2673">2673</span> |
| <span id="2674">2674</span> |
| <span id="2675">2675</span> |
| <span id="2676">2676</span> |
| <span id="2677">2677</span> |
| <span id="2678">2678</span> |
| <span id="2679">2679</span> |
| <span id="2680">2680</span> |
| <span id="2681">2681</span> |
| <span id="2682">2682</span> |
| <span id="2683">2683</span> |
| <span id="2684">2684</span> |
| <span id="2685">2685</span> |
| <span id="2686">2686</span> |
| <span id="2687">2687</span> |
| <span id="2688">2688</span> |
| <span id="2689">2689</span> |
| <span id="2690">2690</span> |
| <span id="2691">2691</span> |
| <span id="2692">2692</span> |
| <span id="2693">2693</span> |
| <span id="2694">2694</span> |
| <span id="2695">2695</span> |
| <span id="2696">2696</span> |
| <span id="2697">2697</span> |
| <span id="2698">2698</span> |
| <span id="2699">2699</span> |
| <span id="2700">2700</span> |
| <span id="2701">2701</span> |
| <span id="2702">2702</span> |
| <span id="2703">2703</span> |
| <span id="2704">2704</span> |
| <span id="2705">2705</span> |
| <span id="2706">2706</span> |
| <span id="2707">2707</span> |
| <span id="2708">2708</span> |
| <span id="2709">2709</span> |
| <span id="2710">2710</span> |
| <span id="2711">2711</span> |
| <span id="2712">2712</span> |
| <span id="2713">2713</span> |
| <span id="2714">2714</span> |
| <span id="2715">2715</span> |
| <span id="2716">2716</span> |
| <span id="2717">2717</span> |
| <span id="2718">2718</span> |
| <span id="2719">2719</span> |
| <span id="2720">2720</span> |
| <span id="2721">2721</span> |
| <span id="2722">2722</span> |
| <span id="2723">2723</span> |
| <span id="2724">2724</span> |
| <span id="2725">2725</span> |
| <span id="2726">2726</span> |
| <span id="2727">2727</span> |
| <span id="2728">2728</span> |
| <span id="2729">2729</span> |
| <span id="2730">2730</span> |
| <span id="2731">2731</span> |
| <span id="2732">2732</span> |
| <span id="2733">2733</span> |
| <span id="2734">2734</span> |
| <span id="2735">2735</span> |
| <span id="2736">2736</span> |
| <span id="2737">2737</span> |
| <span id="2738">2738</span> |
| <span id="2739">2739</span> |
| <span id="2740">2740</span> |
| <span id="2741">2741</span> |
| <span id="2742">2742</span> |
| <span id="2743">2743</span> |
| <span id="2744">2744</span> |
| <span id="2745">2745</span> |
| <span id="2746">2746</span> |
| <span id="2747">2747</span> |
| <span id="2748">2748</span> |
| <span id="2749">2749</span> |
| <span id="2750">2750</span> |
| <span id="2751">2751</span> |
| <span id="2752">2752</span> |
| <span id="2753">2753</span> |
| <span id="2754">2754</span> |
| <span id="2755">2755</span> |
| <span id="2756">2756</span> |
| <span id="2757">2757</span> |
| <span id="2758">2758</span> |
| <span id="2759">2759</span> |
| <span id="2760">2760</span> |
| <span id="2761">2761</span> |
| <span id="2762">2762</span> |
| <span id="2763">2763</span> |
| <span id="2764">2764</span> |
| <span id="2765">2765</span> |
| <span id="2766">2766</span> |
| <span id="2767">2767</span> |
| <span id="2768">2768</span> |
| <span id="2769">2769</span> |
| <span id="2770">2770</span> |
| <span id="2771">2771</span> |
| <span id="2772">2772</span> |
| <span id="2773">2773</span> |
| <span id="2774">2774</span> |
| <span id="2775">2775</span> |
| <span id="2776">2776</span> |
| <span id="2777">2777</span> |
| <span id="2778">2778</span> |
| <span id="2779">2779</span> |
| <span id="2780">2780</span> |
| <span id="2781">2781</span> |
| <span id="2782">2782</span> |
| <span id="2783">2783</span> |
| <span id="2784">2784</span> |
| <span id="2785">2785</span> |
| <span id="2786">2786</span> |
| <span id="2787">2787</span> |
| <span id="2788">2788</span> |
| <span id="2789">2789</span> |
| <span id="2790">2790</span> |
| <span id="2791">2791</span> |
| <span id="2792">2792</span> |
| <span id="2793">2793</span> |
| <span id="2794">2794</span> |
| <span id="2795">2795</span> |
| <span id="2796">2796</span> |
| <span id="2797">2797</span> |
| <span id="2798">2798</span> |
| <span id="2799">2799</span> |
| <span id="2800">2800</span> |
| <span id="2801">2801</span> |
| <span id="2802">2802</span> |
| <span id="2803">2803</span> |
| <span id="2804">2804</span> |
| <span id="2805">2805</span> |
| <span id="2806">2806</span> |
| <span id="2807">2807</span> |
| <span id="2808">2808</span> |
| <span id="2809">2809</span> |
| <span id="2810">2810</span> |
| <span id="2811">2811</span> |
| <span id="2812">2812</span> |
| <span id="2813">2813</span> |
| <span id="2814">2814</span> |
| <span id="2815">2815</span> |
| <span id="2816">2816</span> |
| <span id="2817">2817</span> |
| <span id="2818">2818</span> |
| <span id="2819">2819</span> |
| <span id="2820">2820</span> |
| <span id="2821">2821</span> |
| <span id="2822">2822</span> |
| <span id="2823">2823</span> |
| <span id="2824">2824</span> |
| <span id="2825">2825</span> |
| <span id="2826">2826</span> |
| <span id="2827">2827</span> |
| <span id="2828">2828</span> |
| <span id="2829">2829</span> |
| <span id="2830">2830</span> |
| <span id="2831">2831</span> |
| <span id="2832">2832</span> |
| <span id="2833">2833</span> |
| <span id="2834">2834</span> |
| <span id="2835">2835</span> |
| <span id="2836">2836</span> |
| <span id="2837">2837</span> |
| <span id="2838">2838</span> |
| <span id="2839">2839</span> |
| <span id="2840">2840</span> |
| <span id="2841">2841</span> |
| <span id="2842">2842</span> |
| <span id="2843">2843</span> |
| <span id="2844">2844</span> |
| <span id="2845">2845</span> |
| <span id="2846">2846</span> |
| <span id="2847">2847</span> |
| <span id="2848">2848</span> |
| <span id="2849">2849</span> |
| <span id="2850">2850</span> |
| <span id="2851">2851</span> |
| <span id="2852">2852</span> |
| <span id="2853">2853</span> |
| <span id="2854">2854</span> |
| <span id="2855">2855</span> |
| <span id="2856">2856</span> |
| <span id="2857">2857</span> |
| <span id="2858">2858</span> |
| <span id="2859">2859</span> |
| <span id="2860">2860</span> |
| <span id="2861">2861</span> |
| <span id="2862">2862</span> |
| <span id="2863">2863</span> |
| <span id="2864">2864</span> |
| <span id="2865">2865</span> |
| <span id="2866">2866</span> |
| <span id="2867">2867</span> |
| <span id="2868">2868</span> |
| <span id="2869">2869</span> |
| <span id="2870">2870</span> |
| <span id="2871">2871</span> |
| <span id="2872">2872</span> |
| <span id="2873">2873</span> |
| <span id="2874">2874</span> |
| <span id="2875">2875</span> |
| <span id="2876">2876</span> |
| <span id="2877">2877</span> |
| <span id="2878">2878</span> |
| <span id="2879">2879</span> |
| <span id="2880">2880</span> |
| <span id="2881">2881</span> |
| <span id="2882">2882</span> |
| <span id="2883">2883</span> |
| <span id="2884">2884</span> |
| <span id="2885">2885</span> |
| <span id="2886">2886</span> |
| <span id="2887">2887</span> |
| <span id="2888">2888</span> |
| <span id="2889">2889</span> |
| <span id="2890">2890</span> |
| <span id="2891">2891</span> |
| <span id="2892">2892</span> |
| <span id="2893">2893</span> |
| <span id="2894">2894</span> |
| <span id="2895">2895</span> |
| <span id="2896">2896</span> |
| <span id="2897">2897</span> |
| <span id="2898">2898</span> |
| <span id="2899">2899</span> |
| <span id="2900">2900</span> |
| <span id="2901">2901</span> |
| <span id="2902">2902</span> |
| <span id="2903">2903</span> |
| <span id="2904">2904</span> |
| <span id="2905">2905</span> |
| <span id="2906">2906</span> |
| <span id="2907">2907</span> |
| <span id="2908">2908</span> |
| <span id="2909">2909</span> |
| <span id="2910">2910</span> |
| <span id="2911">2911</span> |
| <span id="2912">2912</span> |
| <span id="2913">2913</span> |
| <span id="2914">2914</span> |
| <span id="2915">2915</span> |
| <span id="2916">2916</span> |
| <span id="2917">2917</span> |
| <span id="2918">2918</span> |
| <span id="2919">2919</span> |
| <span id="2920">2920</span> |
| <span id="2921">2921</span> |
| <span id="2922">2922</span> |
| <span id="2923">2923</span> |
| <span id="2924">2924</span> |
| <span id="2925">2925</span> |
| <span id="2926">2926</span> |
| <span id="2927">2927</span> |
| <span id="2928">2928</span> |
| <span id="2929">2929</span> |
| <span id="2930">2930</span> |
| <span id="2931">2931</span> |
| <span id="2932">2932</span> |
| <span id="2933">2933</span> |
| <span id="2934">2934</span> |
| <span id="2935">2935</span> |
| <span id="2936">2936</span> |
| <span id="2937">2937</span> |
| <span id="2938">2938</span> |
| <span id="2939">2939</span> |
| <span id="2940">2940</span> |
| <span id="2941">2941</span> |
| <span id="2942">2942</span> |
| <span id="2943">2943</span> |
| <span id="2944">2944</span> |
| <span id="2945">2945</span> |
| <span id="2946">2946</span> |
| <span id="2947">2947</span> |
| <span id="2948">2948</span> |
| <span id="2949">2949</span> |
| <span id="2950">2950</span> |
| <span id="2951">2951</span> |
| <span id="2952">2952</span> |
| <span id="2953">2953</span> |
| <span id="2954">2954</span> |
| <span id="2955">2955</span> |
| <span id="2956">2956</span> |
| <span id="2957">2957</span> |
| <span id="2958">2958</span> |
| <span id="2959">2959</span> |
| <span id="2960">2960</span> |
| <span id="2961">2961</span> |
| <span id="2962">2962</span> |
| <span id="2963">2963</span> |
| <span id="2964">2964</span> |
| <span id="2965">2965</span> |
| <span id="2966">2966</span> |
| <span id="2967">2967</span> |
| <span id="2968">2968</span> |
| <span id="2969">2969</span> |
| <span id="2970">2970</span> |
| <span id="2971">2971</span> |
| <span id="2972">2972</span> |
| <span id="2973">2973</span> |
| <span id="2974">2974</span> |
| <span id="2975">2975</span> |
| <span id="2976">2976</span> |
| <span id="2977">2977</span> |
| <span id="2978">2978</span> |
| <span id="2979">2979</span> |
| <span id="2980">2980</span> |
| <span id="2981">2981</span> |
| <span id="2982">2982</span> |
| <span id="2983">2983</span> |
| <span id="2984">2984</span> |
| <span id="2985">2985</span> |
| <span id="2986">2986</span> |
| <span id="2987">2987</span> |
| <span id="2988">2988</span> |
| <span id="2989">2989</span> |
| <span id="2990">2990</span> |
| <span id="2991">2991</span> |
| <span id="2992">2992</span> |
| <span id="2993">2993</span> |
| <span id="2994">2994</span> |
| <span id="2995">2995</span> |
| <span id="2996">2996</span> |
| <span id="2997">2997</span> |
| <span id="2998">2998</span> |
| <span id="2999">2999</span> |
| <span id="3000">3000</span> |
| <span id="3001">3001</span> |
| <span id="3002">3002</span> |
| <span id="3003">3003</span> |
| <span id="3004">3004</span> |
| <span id="3005">3005</span> |
| <span id="3006">3006</span> |
| <span id="3007">3007</span> |
| <span id="3008">3008</span> |
| <span id="3009">3009</span> |
| <span id="3010">3010</span> |
| <span id="3011">3011</span> |
| <span id="3012">3012</span> |
| <span id="3013">3013</span> |
| <span id="3014">3014</span> |
| <span id="3015">3015</span> |
| <span id="3016">3016</span> |
| <span id="3017">3017</span> |
| <span id="3018">3018</span> |
| <span id="3019">3019</span> |
| <span id="3020">3020</span> |
| <span id="3021">3021</span> |
| <span id="3022">3022</span> |
| <span id="3023">3023</span> |
| <span id="3024">3024</span> |
| <span id="3025">3025</span> |
| <span id="3026">3026</span> |
| <span id="3027">3027</span> |
| <span id="3028">3028</span> |
| <span id="3029">3029</span> |
| <span id="3030">3030</span> |
| <span id="3031">3031</span> |
| <span id="3032">3032</span> |
| <span id="3033">3033</span> |
| <span id="3034">3034</span> |
| <span id="3035">3035</span> |
| <span id="3036">3036</span> |
| <span id="3037">3037</span> |
| <span id="3038">3038</span> |
| <span id="3039">3039</span> |
| <span id="3040">3040</span> |
| <span id="3041">3041</span> |
| <span id="3042">3042</span> |
| <span id="3043">3043</span> |
| <span id="3044">3044</span> |
| <span id="3045">3045</span> |
| <span id="3046">3046</span> |
| <span id="3047">3047</span> |
| <span id="3048">3048</span> |
| <span id="3049">3049</span> |
| <span id="3050">3050</span> |
| <span id="3051">3051</span> |
| <span id="3052">3052</span> |
| <span id="3053">3053</span> |
| <span id="3054">3054</span> |
| <span id="3055">3055</span> |
| <span id="3056">3056</span> |
| <span id="3057">3057</span> |
| <span id="3058">3058</span> |
| <span id="3059">3059</span> |
| <span id="3060">3060</span> |
| <span id="3061">3061</span> |
| <span id="3062">3062</span> |
| <span id="3063">3063</span> |
| <span id="3064">3064</span> |
| <span id="3065">3065</span> |
| <span id="3066">3066</span> |
| <span id="3067">3067</span> |
| <span id="3068">3068</span> |
| <span id="3069">3069</span> |
| <span id="3070">3070</span> |
| <span id="3071">3071</span> |
| <span id="3072">3072</span> |
| <span id="3073">3073</span> |
| <span id="3074">3074</span> |
| <span id="3075">3075</span> |
| <span id="3076">3076</span> |
| <span id="3077">3077</span> |
| <span id="3078">3078</span> |
| <span id="3079">3079</span> |
| <span id="3080">3080</span> |
| <span id="3081">3081</span> |
| <span id="3082">3082</span> |
| <span id="3083">3083</span> |
| <span id="3084">3084</span> |
| <span id="3085">3085</span> |
| <span id="3086">3086</span> |
| <span id="3087">3087</span> |
| <span id="3088">3088</span> |
| <span id="3089">3089</span> |
| <span id="3090">3090</span> |
| <span id="3091">3091</span> |
| <span id="3092">3092</span> |
| <span id="3093">3093</span> |
| <span id="3094">3094</span> |
| <span id="3095">3095</span> |
| <span id="3096">3096</span> |
| <span id="3097">3097</span> |
| <span id="3098">3098</span> |
| <span id="3099">3099</span> |
| <span id="3100">3100</span> |
| <span id="3101">3101</span> |
| <span id="3102">3102</span> |
| <span id="3103">3103</span> |
| <span id="3104">3104</span> |
| <span id="3105">3105</span> |
| <span id="3106">3106</span> |
| <span id="3107">3107</span> |
| <span id="3108">3108</span> |
| <span id="3109">3109</span> |
| <span id="3110">3110</span> |
| </pre><pre class="rust"><code><span class="attribute">#[allow(deprecated, unused_imports)] |
| </span><span class="kw">use </span>std::ascii::AsciiExt; |
| <span class="kw">use </span>std::cmp::Ordering::{<span class="self">self</span>, Equal, Greater, Less}; |
| <span class="kw">use </span>std::default::Default; |
| <span class="kw">use </span>std::fmt; |
| <span class="kw">use </span>std::iter::{Product, Sum}; |
| <span class="kw">use </span>std::mem; |
| <span class="kw">use </span>std::ops::{ |
| Add, AddAssign, BitAnd, BitAndAssign, BitOr, BitOrAssign, BitXor, BitXorAssign, Div, DivAssign, |
| Mul, MulAssign, Neg, Not, Rem, RemAssign, Shl, ShlAssign, Shr, ShrAssign, Sub, SubAssign, |
| }; |
| <span class="kw">use </span>std::str::{<span class="self">self</span>, FromStr}; |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">use </span>std::{i128, u128}; |
| <span class="kw">use </span>std::{i64, u64}; |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"serde"</span>)] |
| </span><span class="kw">use </span>serde; |
| |
| <span class="kw">use </span>integer::{Integer, Roots}; |
| <span class="kw">use </span>traits::{ |
| CheckedAdd, CheckedDiv, CheckedMul, CheckedSub, FromPrimitive, Num, One, Pow, Signed, |
| ToPrimitive, Zero, |
| }; |
| |
| <span class="kw">use </span><span class="self">self</span>::Sign::{Minus, NoSign, Plus}; |
| |
| <span class="kw">use </span><span class="kw">super</span>::ParseBigIntError; |
| <span class="kw">use </span>big_digit::{<span class="self">self</span>, BigDigit, DoubleBigDigit}; |
| <span class="kw">use </span>biguint; |
| <span class="kw">use </span>biguint::to_str_radix_reversed; |
| <span class="kw">use </span>biguint::{BigUint, IntDigits}; |
| |
| <span class="kw">use </span>IsizePromotion; |
| <span class="kw">use </span>UsizePromotion; |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"quickcheck"</span>)] |
| </span><span class="kw">use </span>quickcheck::{Arbitrary, Gen}; |
| |
| <span class="doccomment">/// A Sign is a `BigInt`'s composing element. |
| </span><span class="attribute">#[derive(PartialEq, PartialOrd, Eq, Ord, Copy, Clone, Debug, Hash)] |
| </span><span class="kw">pub enum </span>Sign { |
| Minus, |
| NoSign, |
| Plus, |
| } |
| |
| <span class="kw">impl </span>Neg <span class="kw">for </span>Sign { |
| <span class="kw">type </span>Output = Sign; |
| |
| <span class="doccomment">/// Negate Sign value. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>neg(<span class="self">self</span>) -> Sign { |
| <span class="kw">match </span><span class="self">self </span>{ |
| Minus => Plus, |
| NoSign => NoSign, |
| Plus => Minus, |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Mul<Sign> <span class="kw">for </span>Sign { |
| <span class="kw">type </span>Output = Sign; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, other: Sign) -> Sign { |
| <span class="kw">match </span>(<span class="self">self</span>, other) { |
| (NoSign, <span class="kw">_</span>) | (<span class="kw">_</span>, NoSign) => NoSign, |
| (Plus, Plus) | (Minus, Minus) => Plus, |
| (Plus, Minus) | (Minus, Plus) => Minus, |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"serde"</span>)] |
| </span><span class="kw">impl </span>serde::Serialize <span class="kw">for </span>Sign { |
| <span class="kw">fn </span>serialize<S>(<span class="kw-2">&</span><span class="self">self</span>, serializer: S) -> <span class="prelude-ty">Result</span><S::Ok, S::Error> |
| <span class="kw">where |
| </span>S: serde::Serializer, |
| { |
| <span class="comment">// Note: do not change the serialization format, or it may break |
| // forward and backward compatibility of serialized data! |
| </span><span class="kw">match </span><span class="kw-2">*</span><span class="self">self </span>{ |
| Sign::Minus => (-<span class="number">1i8</span>).serialize(serializer), |
| Sign::NoSign => <span class="number">0i8</span>.serialize(serializer), |
| Sign::Plus => <span class="number">1i8</span>.serialize(serializer), |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"serde"</span>)] |
| </span><span class="kw">impl</span><<span class="lifetime">'de</span>> serde::Deserialize<<span class="lifetime">'de</span>> <span class="kw">for </span>Sign { |
| <span class="kw">fn </span>deserialize<D>(deserializer: D) -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, D::Error> |
| <span class="kw">where |
| </span>D: serde::Deserializer<<span class="lifetime">'de</span>>, |
| { |
| <span class="kw">use </span>serde::de::Error; |
| <span class="kw">use </span>serde::de::Unexpected; |
| |
| <span class="kw">let </span>sign: i8 = serde::Deserialize::deserialize(deserializer)<span class="question-mark">?</span>; |
| <span class="kw">match </span>sign { |
| -<span class="number">1 </span>=> <span class="prelude-val">Ok</span>(Sign::Minus), |
| <span class="number">0 </span>=> <span class="prelude-val">Ok</span>(Sign::NoSign), |
| <span class="number">1 </span>=> <span class="prelude-val">Ok</span>(Sign::Plus), |
| <span class="kw">_ </span>=> <span class="prelude-val">Err</span>(D::Error::invalid_value( |
| Unexpected::Signed(sign.into()), |
| <span class="kw-2">&</span><span class="string">"a sign of -1, 0, or 1"</span>, |
| )), |
| } |
| } |
| } |
| |
| <span class="doccomment">/// A big signed integer type. |
| </span><span class="attribute">#[derive(Clone, Debug, Hash)] |
| </span><span class="kw">pub struct </span>BigInt { |
| sign: Sign, |
| data: BigUint, |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"quickcheck"</span>)] |
| </span><span class="kw">impl </span>Arbitrary <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>arbitrary<G: Gen>(g: <span class="kw-2">&mut </span>G) -> <span class="self">Self </span>{ |
| <span class="kw">let </span>positive = bool::arbitrary(g); |
| <span class="kw">let </span>sign = <span class="kw">if </span>positive { Sign::Plus } <span class="kw">else </span>{ Sign::Minus }; |
| <span class="self">Self</span>::from_biguint(sign, BigUint::arbitrary(g)) |
| } |
| |
| <span class="attribute">#[allow(bare_trait_objects)] </span><span class="comment">// `dyn` needs Rust 1.27 to parse, even when cfg-disabled |
| </span><span class="kw">fn </span>shrink(<span class="kw-2">&</span><span class="self">self</span>) -> Box<Iterator<Item = <span class="self">Self</span>>> { |
| <span class="kw">let </span>sign = <span class="self">self</span>.sign(); |
| <span class="kw">let </span>unsigned_shrink = <span class="self">self</span>.data.shrink(); |
| Box::new(unsigned_shrink.map(<span class="kw">move </span>|x| BigInt::from_biguint(sign, x))) |
| } |
| } |
| |
| <span class="doccomment">/// Return the magnitude of a `BigInt`. |
| /// |
| /// This is in a private module, pseudo pub(crate) |
| </span><span class="attribute">#[cfg(feature = <span class="string">"rand"</span>)] |
| </span><span class="kw">pub fn </span>magnitude(i: <span class="kw-2">&</span>BigInt) -> <span class="kw-2">&</span>BigUint { |
| <span class="kw-2">&</span>i.data |
| } |
| |
| <span class="doccomment">/// Return the owned magnitude of a `BigInt`. |
| /// |
| /// This is in a private module, pseudo pub(crate) |
| </span><span class="attribute">#[cfg(feature = <span class="string">"rand"</span>)] |
| </span><span class="kw">pub fn </span>into_magnitude(i: BigInt) -> BigUint { |
| i.data |
| } |
| |
| <span class="kw">impl </span>PartialEq <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>eq(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> bool { |
| <span class="self">self</span>.cmp(other) == Equal |
| } |
| } |
| |
| <span class="kw">impl </span>Eq <span class="kw">for </span>BigInt {} |
| |
| <span class="kw">impl </span>PartialOrd <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>partial_cmp(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> <span class="prelude-ty">Option</span><Ordering> { |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.cmp(other)) |
| } |
| } |
| |
| <span class="kw">impl </span>Ord <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>cmp(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> Ordering { |
| <span class="kw">let </span>scmp = <span class="self">self</span>.sign.cmp(<span class="kw-2">&</span>other.sign); |
| <span class="kw">if </span>scmp != Equal { |
| <span class="kw">return </span>scmp; |
| } |
| |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| NoSign => Equal, |
| Plus => <span class="self">self</span>.data.cmp(<span class="kw-2">&</span>other.data), |
| Minus => other.data.cmp(<span class="kw-2">&</span><span class="self">self</span>.data), |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Default <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>default() -> BigInt { |
| Zero::zero() |
| } |
| } |
| |
| <span class="kw">impl </span>fmt::Display <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter) -> fmt::Result { |
| f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">""</span>, <span class="kw-2">&</span><span class="self">self</span>.data.to_str_radix(<span class="number">10</span>)) |
| } |
| } |
| |
| <span class="kw">impl </span>fmt::Binary <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter) -> fmt::Result { |
| f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">"0b"</span>, <span class="kw-2">&</span><span class="self">self</span>.data.to_str_radix(<span class="number">2</span>)) |
| } |
| } |
| |
| <span class="kw">impl </span>fmt::Octal <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter) -> fmt::Result { |
| f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">"0o"</span>, <span class="kw-2">&</span><span class="self">self</span>.data.to_str_radix(<span class="number">8</span>)) |
| } |
| } |
| |
| <span class="kw">impl </span>fmt::LowerHex <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter) -> fmt::Result { |
| f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">"0x"</span>, <span class="kw-2">&</span><span class="self">self</span>.data.to_str_radix(<span class="number">16</span>)) |
| } |
| } |
| |
| <span class="kw">impl </span>fmt::UpperHex <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter) -> fmt::Result { |
| <span class="kw">let </span><span class="kw-2">mut </span>s = <span class="self">self</span>.data.to_str_radix(<span class="number">16</span>); |
| s.make_ascii_uppercase(); |
| f.pad_integral(!<span class="self">self</span>.is_negative(), <span class="string">"0x"</span>, <span class="kw-2">&</span>s) |
| } |
| } |
| |
| <span class="comment">// Negation in two's complement. |
| // acc must be initialized as 1 for least-significant digit. |
| // |
| // When negating, a carry (acc == 1) means that all the digits |
| // considered to this point were zero. This means that if all the |
| // digits of a negative BigInt have been considered, carry must be |
| // zero as we cannot have negative zero. |
| // |
| // 01 -> ...f ff |
| // ff -> ...f 01 |
| // 01 00 -> ...f ff 00 |
| // 01 01 -> ...f fe ff |
| // 01 ff -> ...f fe 01 |
| // ff 00 -> ...f 01 00 |
| // ff 01 -> ...f 00 ff |
| // ff ff -> ...f 00 01 |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>negate_carry(a: BigDigit, acc: <span class="kw-2">&mut </span>DoubleBigDigit) -> BigDigit { |
| <span class="kw-2">*</span>acc += DoubleBigDigit::from(!a); |
| <span class="kw">let </span>lo = <span class="kw-2">*</span>acc <span class="kw">as </span>BigDigit; |
| <span class="kw-2">*</span>acc >>= big_digit::BITS; |
| lo |
| } |
| |
| <span class="comment">// !-2 = !...f fe = ...0 01 = +1 |
| // !-1 = !...f ff = ...0 00 = 0 |
| // ! 0 = !...0 00 = ...f ff = -1 |
| // !+1 = !...0 01 = ...f fe = -2 |
| </span><span class="kw">impl </span>Not <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="kw">fn </span>not(<span class="kw-2">mut </span><span class="self">self</span>) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| NoSign | Plus => { |
| <span class="self">self</span>.data += <span class="number">1u32</span>; |
| <span class="self">self</span>.sign = Minus; |
| } |
| Minus => { |
| <span class="self">self</span>.data -= <span class="number">1u32</span>; |
| <span class="self">self</span>.sign = <span class="kw">if </span><span class="self">self</span>.data.is_zero() { NoSign } <span class="kw">else </span>{ Plus }; |
| } |
| } |
| <span class="self">self |
| </span>} |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> Not <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="kw">fn </span>not(<span class="self">self</span>) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| NoSign | Plus => BigInt::from_biguint(Minus, <span class="kw-2">&</span><span class="self">self</span>.data + <span class="number">1u32</span>), |
| Minus => BigInt::from_biguint(Plus, <span class="kw-2">&</span><span class="self">self</span>.data - <span class="number">1u32</span>), |
| } |
| } |
| } |
| |
| <span class="comment">// + 1 & -ff = ...0 01 & ...f 01 = ...0 01 = + 1 |
| // +ff & - 1 = ...0 ff & ...f ff = ...0 ff = +ff |
| // answer is pos, has length of a |
| </span><span class="kw">fn </span>bitand_pos_neg(a: <span class="kw-2">&mut </span>Vec<BigDigit>, b: <span class="kw-2">&</span>[BigDigit]) { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>; |
| <span class="kw">for </span>(ai, <span class="kw-2">&</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) { |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| <span class="kw-2">*</span>ai &= twos_b; |
| } |
| <span class="macro">debug_assert!</span>(b.len() > a.len() || carry_b == <span class="number">0</span>); |
| } |
| |
| <span class="comment">// - 1 & +ff = ...f ff & ...0 ff = ...0 ff = +ff |
| // -ff & + 1 = ...f 01 & ...0 01 = ...0 01 = + 1 |
| // answer is pos, has length of b |
| </span><span class="kw">fn </span>bitand_neg_pos(a: <span class="kw-2">&mut </span>Vec<BigDigit>, b: <span class="kw-2">&</span>[BigDigit]) { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>; |
| <span class="kw">for </span>(ai, <span class="kw-2">&</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw-2">*</span>ai = twos_a & bi; |
| } |
| <span class="macro">debug_assert!</span>(a.len() > b.len() || carry_a == <span class="number">0</span>); |
| <span class="kw">if </span>a.len() > b.len() { |
| a.truncate(b.len()); |
| } <span class="kw">else if </span>b.len() > a.len() { |
| <span class="kw">let </span>extra = <span class="kw-2">&</span>b[a.len()..]; |
| a.extend(extra.iter().cloned()); |
| } |
| } |
| |
| <span class="comment">// - 1 & -ff = ...f ff & ...f 01 = ...f 01 = - ff |
| // -ff & - 1 = ...f 01 & ...f ff = ...f 01 = - ff |
| // -ff & -fe = ...f 01 & ...f 02 = ...f 00 = -100 |
| // answer is neg, has length of longest with a possible carry |
| </span><span class="kw">fn </span>bitand_neg_neg(a: <span class="kw-2">&mut </span>Vec<BigDigit>, b: <span class="kw-2">&</span>[BigDigit]) { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_and = <span class="number">1</span>; |
| <span class="kw">for </span>(ai, <span class="kw-2">&</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| <span class="kw-2">*</span>ai = negate_carry(twos_a & twos_b, <span class="kw-2">&mut </span>carry_and); |
| } |
| <span class="macro">debug_assert!</span>(a.len() > b.len() || carry_a == <span class="number">0</span>); |
| <span class="macro">debug_assert!</span>(b.len() > a.len() || carry_b == <span class="number">0</span>); |
| <span class="kw">if </span>a.len() > b.len() { |
| <span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw-2">*</span>ai = negate_carry(twos_a, <span class="kw-2">&mut </span>carry_and); |
| } |
| <span class="macro">debug_assert!</span>(carry_a == <span class="number">0</span>); |
| } <span class="kw">else if </span>b.len() > a.len() { |
| <span class="kw">let </span>extra = <span class="kw-2">&</span>b[a.len()..]; |
| a.extend(extra.iter().map(|<span class="kw-2">&</span>bi| { |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| negate_carry(twos_b, <span class="kw-2">&mut </span>carry_and) |
| })); |
| <span class="macro">debug_assert!</span>(carry_b == <span class="number">0</span>); |
| } |
| <span class="kw">if </span>carry_and != <span class="number">0 </span>{ |
| a.push(<span class="number">1</span>); |
| } |
| } |
| |
| <span class="macro">forward_val_val_binop!</span>(<span class="kw">impl </span>BitAnd <span class="kw">for </span>BigInt, bitand); |
| <span class="macro">forward_ref_val_binop!</span>(<span class="kw">impl </span>BitAnd <span class="kw">for </span>BigInt, bitand); |
| |
| <span class="comment">// do not use forward_ref_ref_binop_commutative! for bitand so that we can |
| // clone as needed, avoiding over-allocation |
| </span><span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>> BitAnd<<span class="kw-2">&</span><span class="lifetime">'b </span>BigInt> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>bitand(<span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) { |
| (NoSign, <span class="kw">_</span>) | (<span class="kw">_</span>, NoSign) => BigInt::from_slice(NoSign, <span class="kw-2">&</span>[]), |
| (Plus, Plus) => BigInt::from_biguint(Plus, <span class="kw-2">&</span><span class="self">self</span>.data & <span class="kw-2">&</span>other.data), |
| (Plus, Minus) => <span class="self">self</span>.clone() & other, |
| (Minus, Plus) => other.clone() & <span class="self">self</span>, |
| (Minus, Minus) => { |
| <span class="comment">// forward to val-ref, choosing the larger to clone |
| </span><span class="kw">if </span><span class="self">self</span>.len() >= other.len() { |
| <span class="self">self</span>.clone() & other |
| } <span class="kw">else </span>{ |
| other.clone() & <span class="self">self |
| </span>} |
| } |
| } |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> BitAnd<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>bitand(<span class="kw-2">mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="self">self </span>&= other; |
| <span class="self">self |
| </span>} |
| } |
| |
| <span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>BitAndAssign <span class="kw">for </span>BigInt, bitand_assign); |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> BitAndAssign<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>bitand_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) { |
| <span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) { |
| (NoSign, <span class="kw">_</span>) => {} |
| (<span class="kw">_</span>, NoSign) => <span class="self">self</span>.assign_from_slice(NoSign, <span class="kw-2">&</span>[]), |
| (Plus, Plus) => { |
| <span class="self">self</span>.data &= <span class="kw-2">&</span>other.data; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| (Plus, Minus) => { |
| bitand_pos_neg(<span class="self">self</span>.digits_mut(), other.digits()); |
| <span class="self">self</span>.normalize(); |
| } |
| (Minus, Plus) => { |
| bitand_neg_pos(<span class="self">self</span>.digits_mut(), other.digits()); |
| <span class="self">self</span>.sign = Plus; |
| <span class="self">self</span>.normalize(); |
| } |
| (Minus, Minus) => { |
| bitand_neg_neg(<span class="self">self</span>.digits_mut(), other.digits()); |
| <span class="self">self</span>.normalize(); |
| } |
| } |
| } |
| } |
| |
| <span class="comment">// + 1 | -ff = ...0 01 | ...f 01 = ...f 01 = -ff |
| // +ff | - 1 = ...0 ff | ...f ff = ...f ff = - 1 |
| // answer is neg, has length of b |
| </span><span class="kw">fn </span>bitor_pos_neg(a: <span class="kw-2">&mut </span>Vec<BigDigit>, b: <span class="kw-2">&</span>[BigDigit]) { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_or = <span class="number">1</span>; |
| <span class="kw">for </span>(ai, <span class="kw-2">&</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) { |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| <span class="kw-2">*</span>ai = negate_carry(<span class="kw-2">*</span>ai | twos_b, <span class="kw-2">&mut </span>carry_or); |
| } |
| <span class="macro">debug_assert!</span>(b.len() > a.len() || carry_b == <span class="number">0</span>); |
| <span class="kw">if </span>a.len() > b.len() { |
| a.truncate(b.len()); |
| } <span class="kw">else if </span>b.len() > a.len() { |
| <span class="kw">let </span>extra = <span class="kw-2">&</span>b[a.len()..]; |
| a.extend(extra.iter().map(|<span class="kw-2">&</span>bi| { |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| negate_carry(twos_b, <span class="kw-2">&mut </span>carry_or) |
| })); |
| <span class="macro">debug_assert!</span>(carry_b == <span class="number">0</span>); |
| } |
| <span class="comment">// for carry_or to be non-zero, we would need twos_b == 0 |
| </span><span class="macro">debug_assert!</span>(carry_or == <span class="number">0</span>); |
| } |
| |
| <span class="comment">// - 1 | +ff = ...f ff | ...0 ff = ...f ff = - 1 |
| // -ff | + 1 = ...f 01 | ...0 01 = ...f 01 = -ff |
| // answer is neg, has length of a |
| </span><span class="kw">fn </span>bitor_neg_pos(a: <span class="kw-2">&mut </span>Vec<BigDigit>, b: <span class="kw-2">&</span>[BigDigit]) { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_or = <span class="number">1</span>; |
| <span class="kw">for </span>(ai, <span class="kw-2">&</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw-2">*</span>ai = negate_carry(twos_a | bi, <span class="kw-2">&mut </span>carry_or); |
| } |
| <span class="macro">debug_assert!</span>(a.len() > b.len() || carry_a == <span class="number">0</span>); |
| <span class="kw">if </span>a.len() > b.len() { |
| <span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw-2">*</span>ai = negate_carry(twos_a, <span class="kw-2">&mut </span>carry_or); |
| } |
| <span class="macro">debug_assert!</span>(carry_a == <span class="number">0</span>); |
| } |
| <span class="comment">// for carry_or to be non-zero, we would need twos_a == 0 |
| </span><span class="macro">debug_assert!</span>(carry_or == <span class="number">0</span>); |
| } |
| |
| <span class="comment">// - 1 | -ff = ...f ff | ...f 01 = ...f ff = -1 |
| // -ff | - 1 = ...f 01 | ...f ff = ...f ff = -1 |
| // answer is neg, has length of shortest |
| </span><span class="kw">fn </span>bitor_neg_neg(a: <span class="kw-2">&mut </span>Vec<BigDigit>, b: <span class="kw-2">&</span>[BigDigit]) { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_or = <span class="number">1</span>; |
| <span class="kw">for </span>(ai, <span class="kw-2">&</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| <span class="kw-2">*</span>ai = negate_carry(twos_a | twos_b, <span class="kw-2">&mut </span>carry_or); |
| } |
| <span class="macro">debug_assert!</span>(a.len() > b.len() || carry_a == <span class="number">0</span>); |
| <span class="macro">debug_assert!</span>(b.len() > a.len() || carry_b == <span class="number">0</span>); |
| <span class="kw">if </span>a.len() > b.len() { |
| a.truncate(b.len()); |
| } |
| <span class="comment">// for carry_or to be non-zero, we would need twos_a == 0 or twos_b == 0 |
| </span><span class="macro">debug_assert!</span>(carry_or == <span class="number">0</span>); |
| } |
| |
| <span class="macro">forward_val_val_binop!</span>(<span class="kw">impl </span>BitOr <span class="kw">for </span>BigInt, bitor); |
| <span class="macro">forward_ref_val_binop!</span>(<span class="kw">impl </span>BitOr <span class="kw">for </span>BigInt, bitor); |
| |
| <span class="comment">// do not use forward_ref_ref_binop_commutative! for bitor so that we can |
| // clone as needed, avoiding over-allocation |
| </span><span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>> BitOr<<span class="kw-2">&</span><span class="lifetime">'b </span>BigInt> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>bitor(<span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) { |
| (NoSign, <span class="kw">_</span>) => other.clone(), |
| (<span class="kw">_</span>, NoSign) => <span class="self">self</span>.clone(), |
| (Plus, Plus) => BigInt::from_biguint(Plus, <span class="kw-2">&</span><span class="self">self</span>.data | <span class="kw-2">&</span>other.data), |
| (Plus, Minus) => other.clone() | <span class="self">self</span>, |
| (Minus, Plus) => <span class="self">self</span>.clone() | other, |
| (Minus, Minus) => { |
| <span class="comment">// forward to val-ref, choosing the smaller to clone |
| </span><span class="kw">if </span><span class="self">self</span>.len() <= other.len() { |
| <span class="self">self</span>.clone() | other |
| } <span class="kw">else </span>{ |
| other.clone() | <span class="self">self |
| </span>} |
| } |
| } |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> BitOr<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>bitor(<span class="kw-2">mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="self">self </span>|= other; |
| <span class="self">self |
| </span>} |
| } |
| |
| <span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>BitOrAssign <span class="kw">for </span>BigInt, bitor_assign); |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> BitOrAssign<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>bitor_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) { |
| <span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) { |
| (<span class="kw">_</span>, NoSign) => {} |
| (NoSign, <span class="kw">_</span>) => <span class="self">self</span>.assign_from_slice(other.sign, other.digits()), |
| (Plus, Plus) => <span class="self">self</span>.data |= <span class="kw-2">&</span>other.data, |
| (Plus, Minus) => { |
| bitor_pos_neg(<span class="self">self</span>.digits_mut(), other.digits()); |
| <span class="self">self</span>.sign = Minus; |
| <span class="self">self</span>.normalize(); |
| } |
| (Minus, Plus) => { |
| bitor_neg_pos(<span class="self">self</span>.digits_mut(), other.digits()); |
| <span class="self">self</span>.normalize(); |
| } |
| (Minus, Minus) => { |
| bitor_neg_neg(<span class="self">self</span>.digits_mut(), other.digits()); |
| <span class="self">self</span>.normalize(); |
| } |
| } |
| } |
| } |
| |
| <span class="comment">// + 1 ^ -ff = ...0 01 ^ ...f 01 = ...f 00 = -100 |
| // +ff ^ - 1 = ...0 ff ^ ...f ff = ...f 00 = -100 |
| // answer is neg, has length of longest with a possible carry |
| </span><span class="kw">fn </span>bitxor_pos_neg(a: <span class="kw-2">&mut </span>Vec<BigDigit>, b: <span class="kw-2">&</span>[BigDigit]) { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_xor = <span class="number">1</span>; |
| <span class="kw">for </span>(ai, <span class="kw-2">&</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) { |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| <span class="kw-2">*</span>ai = negate_carry(<span class="kw-2">*</span>ai ^ twos_b, <span class="kw-2">&mut </span>carry_xor); |
| } |
| <span class="macro">debug_assert!</span>(b.len() > a.len() || carry_b == <span class="number">0</span>); |
| <span class="kw">if </span>a.len() > b.len() { |
| <span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() { |
| <span class="kw">let </span>twos_b = !<span class="number">0</span>; |
| <span class="kw-2">*</span>ai = negate_carry(<span class="kw-2">*</span>ai ^ twos_b, <span class="kw-2">&mut </span>carry_xor); |
| } |
| } <span class="kw">else if </span>b.len() > a.len() { |
| <span class="kw">let </span>extra = <span class="kw-2">&</span>b[a.len()..]; |
| a.extend(extra.iter().map(|<span class="kw-2">&</span>bi| { |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| negate_carry(twos_b, <span class="kw-2">&mut </span>carry_xor) |
| })); |
| <span class="macro">debug_assert!</span>(carry_b == <span class="number">0</span>); |
| } |
| <span class="kw">if </span>carry_xor != <span class="number">0 </span>{ |
| a.push(<span class="number">1</span>); |
| } |
| } |
| |
| <span class="comment">// - 1 ^ +ff = ...f ff ^ ...0 ff = ...f 00 = -100 |
| // -ff ^ + 1 = ...f 01 ^ ...0 01 = ...f 00 = -100 |
| // answer is neg, has length of longest with a possible carry |
| </span><span class="kw">fn </span>bitxor_neg_pos(a: <span class="kw-2">&mut </span>Vec<BigDigit>, b: <span class="kw-2">&</span>[BigDigit]) { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_xor = <span class="number">1</span>; |
| <span class="kw">for </span>(ai, <span class="kw-2">&</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw-2">*</span>ai = negate_carry(twos_a ^ bi, <span class="kw-2">&mut </span>carry_xor); |
| } |
| <span class="macro">debug_assert!</span>(a.len() > b.len() || carry_a == <span class="number">0</span>); |
| <span class="kw">if </span>a.len() > b.len() { |
| <span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw-2">*</span>ai = negate_carry(twos_a, <span class="kw-2">&mut </span>carry_xor); |
| } |
| <span class="macro">debug_assert!</span>(carry_a == <span class="number">0</span>); |
| } <span class="kw">else if </span>b.len() > a.len() { |
| <span class="kw">let </span>extra = <span class="kw-2">&</span>b[a.len()..]; |
| a.extend(extra.iter().map(|<span class="kw-2">&</span>bi| { |
| <span class="kw">let </span>twos_a = !<span class="number">0</span>; |
| negate_carry(twos_a ^ bi, <span class="kw-2">&mut </span>carry_xor) |
| })); |
| } |
| <span class="kw">if </span>carry_xor != <span class="number">0 </span>{ |
| a.push(<span class="number">1</span>); |
| } |
| } |
| |
| <span class="comment">// - 1 ^ -ff = ...f ff ^ ...f 01 = ...0 fe = +fe |
| // -ff & - 1 = ...f 01 ^ ...f ff = ...0 fe = +fe |
| // answer is pos, has length of longest |
| </span><span class="kw">fn </span>bitxor_neg_neg(a: <span class="kw-2">&mut </span>Vec<BigDigit>, b: <span class="kw-2">&</span>[BigDigit]) { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_a = <span class="number">1</span>; |
| <span class="kw">let </span><span class="kw-2">mut </span>carry_b = <span class="number">1</span>; |
| <span class="kw">for </span>(ai, <span class="kw-2">&</span>bi) <span class="kw">in </span>a.iter_mut().zip(b.iter()) { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| <span class="kw-2">*</span>ai = twos_a ^ twos_b; |
| } |
| <span class="macro">debug_assert!</span>(a.len() > b.len() || carry_a == <span class="number">0</span>); |
| <span class="macro">debug_assert!</span>(b.len() > a.len() || carry_b == <span class="number">0</span>); |
| <span class="kw">if </span>a.len() > b.len() { |
| <span class="kw">for </span>ai <span class="kw">in </span>a[b.len()..].iter_mut() { |
| <span class="kw">let </span>twos_a = negate_carry(<span class="kw-2">*</span>ai, <span class="kw-2">&mut </span>carry_a); |
| <span class="kw">let </span>twos_b = !<span class="number">0</span>; |
| <span class="kw-2">*</span>ai = twos_a ^ twos_b; |
| } |
| <span class="macro">debug_assert!</span>(carry_a == <span class="number">0</span>); |
| } <span class="kw">else if </span>b.len() > a.len() { |
| <span class="kw">let </span>extra = <span class="kw-2">&</span>b[a.len()..]; |
| a.extend(extra.iter().map(|<span class="kw-2">&</span>bi| { |
| <span class="kw">let </span>twos_a = !<span class="number">0</span>; |
| <span class="kw">let </span>twos_b = negate_carry(bi, <span class="kw-2">&mut </span>carry_b); |
| twos_a ^ twos_b |
| })); |
| <span class="macro">debug_assert!</span>(carry_b == <span class="number">0</span>); |
| } |
| } |
| |
| <span class="macro">forward_all_binop_to_val_ref_commutative!</span>(<span class="kw">impl </span>BitXor <span class="kw">for </span>BigInt, bitxor); |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> BitXor<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>bitxor(<span class="kw-2">mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="self">self </span>^= other; |
| <span class="self">self |
| </span>} |
| } |
| |
| <span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>BitXorAssign <span class="kw">for </span>BigInt, bitxor_assign); |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> BitXorAssign<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>bitxor_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) { |
| <span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) { |
| (<span class="kw">_</span>, NoSign) => {} |
| (NoSign, <span class="kw">_</span>) => <span class="self">self</span>.assign_from_slice(other.sign, other.digits()), |
| (Plus, Plus) => { |
| <span class="self">self</span>.data ^= <span class="kw-2">&</span>other.data; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| (Plus, Minus) => { |
| bitxor_pos_neg(<span class="self">self</span>.digits_mut(), other.digits()); |
| <span class="self">self</span>.sign = Minus; |
| <span class="self">self</span>.normalize(); |
| } |
| (Minus, Plus) => { |
| bitxor_neg_pos(<span class="self">self</span>.digits_mut(), other.digits()); |
| <span class="self">self</span>.normalize(); |
| } |
| (Minus, Minus) => { |
| bitxor_neg_neg(<span class="self">self</span>.digits_mut(), other.digits()); |
| <span class="self">self</span>.sign = Plus; |
| <span class="self">self</span>.normalize(); |
| } |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>FromStr <span class="kw">for </span>BigInt { |
| <span class="kw">type </span><span class="prelude-val">Err </span>= ParseBigIntError; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from_str(s: <span class="kw-2">&</span>str) -> <span class="prelude-ty">Result</span><BigInt, ParseBigIntError> { |
| BigInt::from_str_radix(s, <span class="number">10</span>) |
| } |
| } |
| |
| <span class="kw">impl </span>Num <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>FromStrRadixErr = ParseBigIntError; |
| |
| <span class="doccomment">/// Creates and initializes a BigInt. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from_str_radix(<span class="kw-2">mut </span>s: <span class="kw-2">&</span>str, radix: u32) -> <span class="prelude-ty">Result</span><BigInt, ParseBigIntError> { |
| <span class="kw">let </span>sign = <span class="kw">if </span>s.starts_with(<span class="string">'-'</span>) { |
| <span class="kw">let </span>tail = <span class="kw-2">&</span>s[<span class="number">1</span>..]; |
| <span class="kw">if </span>!tail.starts_with(<span class="string">'+'</span>) { |
| s = tail |
| } |
| Minus |
| } <span class="kw">else </span>{ |
| Plus |
| }; |
| <span class="kw">let </span>bu = BigUint::from_str_radix(s, radix)<span class="question-mark">?</span>; |
| <span class="prelude-val">Ok</span>(BigInt::from_biguint(sign, bu)) |
| } |
| } |
| |
| <span class="kw">impl </span>Shl<usize> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>shl(<span class="kw-2">mut </span><span class="self">self</span>, rhs: usize) -> BigInt { |
| <span class="self">self </span><<= rhs; |
| <span class="self">self |
| </span>} |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> Shl<usize> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>shl(<span class="self">self</span>, rhs: usize) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="kw-2">&</span><span class="self">self</span>.data << rhs) |
| } |
| } |
| |
| <span class="kw">impl </span>ShlAssign<usize> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>shl_assign(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: usize) { |
| <span class="self">self</span>.data <<= rhs; |
| } |
| } |
| |
| <span class="comment">// Negative values need a rounding adjustment if there are any ones in the |
| // bits that are getting shifted out. |
| </span><span class="kw">fn </span>shr_round_down(i: <span class="kw-2">&</span>BigInt, rhs: usize) -> bool { |
| i.is_negative() |
| && biguint::trailing_zeros(<span class="kw-2">&</span>i.data) |
| .map(|n| n < rhs) |
| .unwrap_or(<span class="bool-val">false</span>) |
| } |
| |
| <span class="kw">impl </span>Shr<usize> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>shr(<span class="kw-2">mut </span><span class="self">self</span>, rhs: usize) -> BigInt { |
| <span class="self">self </span>>>= rhs; |
| <span class="self">self |
| </span>} |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> Shr<usize> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>shr(<span class="self">self</span>, rhs: usize) -> BigInt { |
| <span class="kw">let </span>round_down = shr_round_down(<span class="self">self</span>, rhs); |
| <span class="kw">let </span>data = <span class="kw-2">&</span><span class="self">self</span>.data >> rhs; |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="kw">if </span>round_down { data + <span class="number">1u8 </span>} <span class="kw">else </span>{ data }) |
| } |
| } |
| |
| <span class="kw">impl </span>ShrAssign<usize> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>shr_assign(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: usize) { |
| <span class="kw">let </span>round_down = shr_round_down(<span class="self">self</span>, rhs); |
| <span class="self">self</span>.data >>= rhs; |
| <span class="kw">if </span>round_down { |
| <span class="self">self</span>.data += <span class="number">1u8</span>; |
| } <span class="kw">else if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Zero <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>zero() -> BigInt { |
| BigInt::from_biguint(NoSign, Zero::zero()) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>set_zero(<span class="kw-2">&mut </span><span class="self">self</span>) { |
| <span class="self">self</span>.data.set_zero(); |
| <span class="self">self</span>.sign = NoSign; |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_zero(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| <span class="self">self</span>.sign == NoSign |
| } |
| } |
| |
| <span class="kw">impl </span>One <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>one() -> BigInt { |
| BigInt::from_biguint(Plus, One::one()) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>set_one(<span class="kw-2">&mut </span><span class="self">self</span>) { |
| <span class="self">self</span>.data.set_one(); |
| <span class="self">self</span>.sign = Plus; |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_one(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| <span class="self">self</span>.sign == Plus && <span class="self">self</span>.data.is_one() |
| } |
| } |
| |
| <span class="kw">impl </span>Signed <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>abs(<span class="kw-2">&</span><span class="self">self</span>) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| Plus | NoSign => <span class="self">self</span>.clone(), |
| Minus => BigInt::from_biguint(Plus, <span class="self">self</span>.data.clone()), |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>abs_sub(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="kw">if </span><span class="kw-2">*</span><span class="self">self </span><= <span class="kw-2">*</span>other { |
| Zero::zero() |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>- other |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>signum(<span class="kw-2">&</span><span class="self">self</span>) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| Plus => BigInt::from_biguint(Plus, One::one()), |
| Minus => BigInt::from_biguint(Minus, One::one()), |
| NoSign => Zero::zero(), |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_positive(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| <span class="self">self</span>.sign == Plus |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_negative(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| <span class="self">self</span>.sign == Minus |
| } |
| } |
| |
| <span class="doccomment">/// Help function for pow |
| /// |
| /// Computes the effect of the exponent on the sign. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>powsign<T: Integer>(sign: Sign, other: <span class="kw-2">&</span>T) -> Sign { |
| <span class="kw">if </span>other.is_zero() { |
| Plus |
| } <span class="kw">else if </span>sign != Minus { |
| sign |
| } <span class="kw">else if </span>other.is_odd() { |
| sign |
| } <span class="kw">else </span>{ |
| -sign |
| } |
| } |
| |
| <span class="macro">macro_rules! </span>pow_impl { |
| (<span class="macro-nonterminal">$T</span>:ty) => { |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> Pow<<span class="macro-nonterminal">$T</span>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, rhs: <span class="macro-nonterminal">$T</span>) -> BigInt { |
| BigInt::from_biguint(powsign(<span class="self">self</span>.sign, <span class="kw-2">&</span>rhs), (<span class="kw-2">&</span><span class="self">self</span>.data).pow(rhs)) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>> Pow<<span class="kw-2">&</span><span class="lifetime">'b </span><span class="macro-nonterminal">$T</span>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>pow(<span class="self">self</span>, rhs: <span class="kw-2">&</span><span class="macro-nonterminal">$T</span>) -> BigInt { |
| BigInt::from_biguint(powsign(<span class="self">self</span>.sign, rhs), (<span class="kw-2">&</span><span class="self">self</span>.data).pow(rhs)) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">pow_impl!</span>(u8); |
| <span class="macro">pow_impl!</span>(u16); |
| <span class="macro">pow_impl!</span>(u32); |
| <span class="macro">pow_impl!</span>(u64); |
| <span class="macro">pow_impl!</span>(usize); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">pow_impl!</span>(u128); |
| <span class="macro">pow_impl!</span>(BigUint); |
| |
| <span class="comment">// A convenience method for getting the absolute value of an i32 in a u32. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>i32_abs_as_u32(a: i32) -> u32 { |
| <span class="kw">if </span>a == i32::min_value() { |
| a <span class="kw">as </span>u32 |
| } <span class="kw">else </span>{ |
| a.abs() <span class="kw">as </span>u32 |
| } |
| } |
| |
| <span class="comment">// A convenience method for getting the absolute value of an i64 in a u64. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>i64_abs_as_u64(a: i64) -> u64 { |
| <span class="kw">if </span>a == i64::min_value() { |
| a <span class="kw">as </span>u64 |
| } <span class="kw">else </span>{ |
| a.abs() <span class="kw">as </span>u64 |
| } |
| } |
| |
| <span class="comment">// A convenience method for getting the absolute value of an i128 in a u128. |
| </span><span class="attribute">#[cfg(has_i128)] |
| #[inline] |
| </span><span class="kw">fn </span>i128_abs_as_u128(a: i128) -> u128 { |
| <span class="kw">if </span>a == i128::min_value() { |
| a <span class="kw">as </span>u128 |
| } <span class="kw">else </span>{ |
| a.abs() <span class="kw">as </span>u128 |
| } |
| } |
| |
| <span class="comment">// We want to forward to BigUint::add, but it's not clear how that will go until |
| // we compare both sign and magnitude. So we duplicate this body for every |
| // val/ref combination, deferring that decision to BigUint's own forwarding. |
| </span><span class="macro">macro_rules! </span>bigint_add { |
| (<span class="macro-nonterminal">$a</span>:expr, <span class="macro-nonterminal">$a_owned</span>:expr, <span class="macro-nonterminal">$a_data</span>:expr, <span class="macro-nonterminal">$b</span>:expr, <span class="macro-nonterminal">$b_owned</span>:expr, <span class="macro-nonterminal">$b_data</span>:expr) => { |
| <span class="kw">match </span>(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$b</span>.sign) { |
| (<span class="kw">_</span>, NoSign) => <span class="macro-nonterminal">$a_owned</span>, |
| (NoSign, <span class="kw">_</span>) => <span class="macro-nonterminal">$b_owned</span>, |
| <span class="comment">// same sign => keep the sign with the sum of magnitudes |
| </span>(Plus, Plus) | (Minus, Minus) => BigInt::from_biguint(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$a_data </span>+ <span class="macro-nonterminal">$b_data</span>), |
| <span class="comment">// opposite signs => keep the sign of the larger with the difference of magnitudes |
| </span>(Plus, Minus) | (Minus, Plus) => <span class="kw">match </span><span class="macro-nonterminal">$a</span>.data.cmp(<span class="kw-2">&</span><span class="macro-nonterminal">$b</span>.data) { |
| Less => BigInt::from_biguint(<span class="macro-nonterminal">$b</span>.sign, <span class="macro-nonterminal">$b_data </span>- <span class="macro-nonterminal">$a_data</span>), |
| Greater => BigInt::from_biguint(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$a_data </span>- <span class="macro-nonterminal">$b_data</span>), |
| Equal => Zero::zero(), |
| }, |
| } |
| }; |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>> Add<<span class="kw-2">&</span><span class="lifetime">'b </span>BigInt> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="macro">bigint_add!</span>( |
| <span class="self">self</span>, |
| <span class="self">self</span>.clone(), |
| <span class="kw-2">&</span><span class="self">self</span>.data, |
| other, |
| other.clone(), |
| <span class="kw-2">&</span>other.data |
| ) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> Add<BigInt> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="macro">bigint_add!</span>(<span class="self">self</span>, <span class="self">self</span>.clone(), <span class="kw-2">&</span><span class="self">self</span>.data, other, other, other.data) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> Add<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="macro">bigint_add!</span>(<span class="self">self</span>, <span class="self">self</span>, <span class="self">self</span>.data, other, other.clone(), <span class="kw-2">&</span>other.data) |
| } |
| } |
| |
| <span class="kw">impl </span>Add<BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="macro">bigint_add!</span>(<span class="self">self</span>, <span class="self">self</span>, <span class="self">self</span>.data, other, other, other.data) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> AddAssign<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) { |
| <span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero()); |
| <span class="kw-2">*</span><span class="self">self </span>= n + other; |
| } |
| } |
| <span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>AddAssign <span class="kw">for </span>BigInt, add_assign); |
| |
| <span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Add <span class="kw">for </span>BigInt, add); |
| <span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>AddAssign <span class="kw">for </span>BigInt, add_assign); |
| <span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add<u32> <span class="kw">for </span>BigInt, add); |
| <span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add<u64> <span class="kw">for </span>BigInt, add); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add<u128> <span class="kw">for </span>BigInt, add); |
| |
| <span class="kw">impl </span>Add<u32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: u32) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| NoSign => From::from(other), |
| Plus => BigInt::from_biguint(Plus, <span class="self">self</span>.data + other), |
| Minus => <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&</span>From::from(other)) { |
| Equal => Zero::zero(), |
| Less => BigInt::from_biguint(Plus, other - <span class="self">self</span>.data), |
| Greater => BigInt::from_biguint(Minus, <span class="self">self</span>.data - other), |
| }, |
| } |
| } |
| } |
| <span class="kw">impl </span>AddAssign<u32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u32) { |
| <span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero()); |
| <span class="kw-2">*</span><span class="self">self </span>= n + other; |
| } |
| } |
| |
| <span class="kw">impl </span>Add<u64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: u64) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| NoSign => From::from(other), |
| Plus => BigInt::from_biguint(Plus, <span class="self">self</span>.data + other), |
| Minus => <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&</span>From::from(other)) { |
| Equal => Zero::zero(), |
| Less => BigInt::from_biguint(Plus, other - <span class="self">self</span>.data), |
| Greater => BigInt::from_biguint(Minus, <span class="self">self</span>.data - other), |
| }, |
| } |
| } |
| } |
| <span class="kw">impl </span>AddAssign<u64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u64) { |
| <span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero()); |
| <span class="kw-2">*</span><span class="self">self </span>= n + other; |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Add<u128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: u128) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| NoSign => From::from(other), |
| Plus => BigInt::from_biguint(Plus, <span class="self">self</span>.data + other), |
| Minus => <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&</span>From::from(other)) { |
| Equal => Zero::zero(), |
| Less => BigInt::from_biguint(Plus, other - <span class="self">self</span>.data), |
| Greater => BigInt::from_biguint(Minus, <span class="self">self</span>.data - other), |
| }, |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>AddAssign<u128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u128) { |
| <span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero()); |
| <span class="kw-2">*</span><span class="self">self </span>= n + other; |
| } |
| } |
| |
| <span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add<i32> <span class="kw">for </span>BigInt, add); |
| <span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add<i64> <span class="kw">for </span>BigInt, add); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Add<i128> <span class="kw">for </span>BigInt, add); |
| |
| <span class="kw">impl </span>Add<i32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: i32) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>+ other <span class="kw">as </span>u32 |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>- i32_abs_as_u32(other) |
| } |
| } |
| } |
| <span class="kw">impl </span>AddAssign<i32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i32) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>+= other <span class="kw">as </span>u32; |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>-= i32_abs_as_u32(other); |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Add<i64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: i64) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>+ other <span class="kw">as </span>u64 |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>- i64_abs_as_u64(other) |
| } |
| } |
| } |
| <span class="kw">impl </span>AddAssign<i64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i64) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>+= other <span class="kw">as </span>u64; |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>-= i64_abs_as_u64(other); |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Add<i128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add(<span class="self">self</span>, other: i128) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>+ other <span class="kw">as </span>u128 |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>- i128_abs_as_u128(other) |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>AddAssign<i128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i128) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>+= other <span class="kw">as </span>u128; |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>-= i128_abs_as_u128(other); |
| } |
| } |
| } |
| |
| <span class="comment">// We want to forward to BigUint::sub, but it's not clear how that will go until |
| // we compare both sign and magnitude. So we duplicate this body for every |
| // val/ref combination, deferring that decision to BigUint's own forwarding. |
| </span><span class="macro">macro_rules! </span>bigint_sub { |
| (<span class="macro-nonterminal">$a</span>:expr, <span class="macro-nonterminal">$a_owned</span>:expr, <span class="macro-nonterminal">$a_data</span>:expr, <span class="macro-nonterminal">$b</span>:expr, <span class="macro-nonterminal">$b_owned</span>:expr, <span class="macro-nonterminal">$b_data</span>:expr) => { |
| <span class="kw">match </span>(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$b</span>.sign) { |
| (<span class="kw">_</span>, NoSign) => <span class="macro-nonterminal">$a_owned</span>, |
| (NoSign, <span class="kw">_</span>) => -<span class="macro-nonterminal">$b_owned</span>, |
| <span class="comment">// opposite signs => keep the sign of the left with the sum of magnitudes |
| </span>(Plus, Minus) | (Minus, Plus) => BigInt::from_biguint(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$a_data </span>+ <span class="macro-nonterminal">$b_data</span>), |
| <span class="comment">// same sign => keep or toggle the sign of the left with the difference of magnitudes |
| </span>(Plus, Plus) | (Minus, Minus) => <span class="kw">match </span><span class="macro-nonterminal">$a</span>.data.cmp(<span class="kw-2">&</span><span class="macro-nonterminal">$b</span>.data) { |
| Less => BigInt::from_biguint(-<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$b_data </span>- <span class="macro-nonterminal">$a_data</span>), |
| Greater => BigInt::from_biguint(<span class="macro-nonterminal">$a</span>.sign, <span class="macro-nonterminal">$a_data </span>- <span class="macro-nonterminal">$b_data</span>), |
| Equal => Zero::zero(), |
| }, |
| } |
| }; |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>> Sub<<span class="kw-2">&</span><span class="lifetime">'b </span>BigInt> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="macro">bigint_sub!</span>( |
| <span class="self">self</span>, |
| <span class="self">self</span>.clone(), |
| <span class="kw-2">&</span><span class="self">self</span>.data, |
| other, |
| other.clone(), |
| <span class="kw-2">&</span>other.data |
| ) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> Sub<BigInt> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="macro">bigint_sub!</span>(<span class="self">self</span>, <span class="self">self</span>.clone(), <span class="kw-2">&</span><span class="self">self</span>.data, other, other, other.data) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> Sub<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="macro">bigint_sub!</span>(<span class="self">self</span>, <span class="self">self</span>, <span class="self">self</span>.data, other, other.clone(), <span class="kw-2">&</span>other.data) |
| } |
| } |
| |
| <span class="kw">impl </span>Sub<BigInt> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="macro">bigint_sub!</span>(<span class="self">self</span>, <span class="self">self</span>, <span class="self">self</span>.data, other, other, other.data) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> SubAssign<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) { |
| <span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero()); |
| <span class="kw-2">*</span><span class="self">self </span>= n - other; |
| } |
| } |
| <span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>SubAssign <span class="kw">for </span>BigInt, sub_assign); |
| |
| <span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Sub <span class="kw">for </span>BigInt, sub); |
| <span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>SubAssign <span class="kw">for </span>BigInt, sub_assign); |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub<u32> <span class="kw">for </span>BigInt, sub); |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub<u64> <span class="kw">for </span>BigInt, sub); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub<u128> <span class="kw">for </span>BigInt, sub); |
| |
| <span class="kw">impl </span>Sub<u32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: u32) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| NoSign => BigInt::from_biguint(Minus, From::from(other)), |
| Minus => BigInt::from_biguint(Minus, <span class="self">self</span>.data + other), |
| Plus => <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&</span>From::from(other)) { |
| Equal => Zero::zero(), |
| Greater => BigInt::from_biguint(Plus, <span class="self">self</span>.data - other), |
| Less => BigInt::from_biguint(Minus, other - <span class="self">self</span>.data), |
| }, |
| } |
| } |
| } |
| <span class="kw">impl </span>SubAssign<u32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u32) { |
| <span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero()); |
| <span class="kw-2">*</span><span class="self">self </span>= n - other; |
| } |
| } |
| |
| <span class="kw">impl </span>Sub<BigInt> <span class="kw">for </span>u32 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -> BigInt { |
| -(other - <span class="self">self</span>) |
| } |
| } |
| |
| <span class="kw">impl </span>Sub<BigInt> <span class="kw">for </span>u64 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -> BigInt { |
| -(other - <span class="self">self</span>) |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Sub<BigInt> <span class="kw">for </span>u128 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -> BigInt { |
| -(other - <span class="self">self</span>) |
| } |
| } |
| |
| <span class="kw">impl </span>Sub<u64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: u64) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| NoSign => BigInt::from_biguint(Minus, From::from(other)), |
| Minus => BigInt::from_biguint(Minus, <span class="self">self</span>.data + other), |
| Plus => <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&</span>From::from(other)) { |
| Equal => Zero::zero(), |
| Greater => BigInt::from_biguint(Plus, <span class="self">self</span>.data - other), |
| Less => BigInt::from_biguint(Minus, other - <span class="self">self</span>.data), |
| }, |
| } |
| } |
| } |
| <span class="kw">impl </span>SubAssign<u64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u64) { |
| <span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero()); |
| <span class="kw-2">*</span><span class="self">self </span>= n - other; |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Sub<u128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: u128) -> BigInt { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| NoSign => BigInt::from_biguint(Minus, From::from(other)), |
| Minus => BigInt::from_biguint(Minus, <span class="self">self</span>.data + other), |
| Plus => <span class="kw">match </span><span class="self">self</span>.data.cmp(<span class="kw-2">&</span>From::from(other)) { |
| Equal => Zero::zero(), |
| Greater => BigInt::from_biguint(Plus, <span class="self">self</span>.data - other), |
| Less => BigInt::from_biguint(Minus, other - <span class="self">self</span>.data), |
| }, |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>SubAssign<u128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u128) { |
| <span class="kw">let </span>n = mem::replace(<span class="self">self</span>, BigInt::zero()); |
| <span class="kw-2">*</span><span class="self">self </span>= n - other; |
| } |
| } |
| |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub<i32> <span class="kw">for </span>BigInt, sub); |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub<i64> <span class="kw">for </span>BigInt, sub); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Sub<i128> <span class="kw">for </span>BigInt, sub); |
| |
| <span class="kw">impl </span>Sub<i32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: i32) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>- other <span class="kw">as </span>u32 |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>+ i32_abs_as_u32(other) |
| } |
| } |
| } |
| <span class="kw">impl </span>SubAssign<i32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i32) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>-= other <span class="kw">as </span>u32; |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>+= i32_abs_as_u32(other); |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Sub<BigInt> <span class="kw">for </span>i32 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="kw">if </span><span class="self">self </span>>= <span class="number">0 </span>{ |
| <span class="self">self </span><span class="kw">as </span>u32 - other |
| } <span class="kw">else </span>{ |
| -other - i32_abs_as_u32(<span class="self">self</span>) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Sub<i64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: i64) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>- other <span class="kw">as </span>u64 |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>+ i64_abs_as_u64(other) |
| } |
| } |
| } |
| <span class="kw">impl </span>SubAssign<i64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i64) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>-= other <span class="kw">as </span>u64; |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>+= i64_abs_as_u64(other); |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Sub<BigInt> <span class="kw">for </span>i64 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="kw">if </span><span class="self">self </span>>= <span class="number">0 </span>{ |
| <span class="self">self </span><span class="kw">as </span>u64 - other |
| } <span class="kw">else </span>{ |
| -other - i64_abs_as_u64(<span class="self">self</span>) |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Sub<i128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: i128) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>- other <span class="kw">as </span>u128 |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>+ i128_abs_as_u128(other) |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>SubAssign<i128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i128) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>-= other <span class="kw">as </span>u128; |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>+= i128_abs_as_u128(other); |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Sub<BigInt> <span class="kw">for </span>i128 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>sub(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="kw">if </span><span class="self">self </span>>= <span class="number">0 </span>{ |
| <span class="self">self </span><span class="kw">as </span>u128 - other |
| } <span class="kw">else </span>{ |
| -other - i128_abs_as_u128(<span class="self">self</span>) |
| } |
| } |
| } |
| |
| <span class="macro">forward_all_binop_to_ref_ref!</span>(<span class="kw">impl </span>Mul <span class="kw">for </span>BigInt, mul); |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>> Mul<<span class="kw-2">&</span><span class="lifetime">'b </span>BigInt> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign * other.sign, <span class="kw-2">&</span><span class="self">self</span>.data * <span class="kw-2">&</span>other.data) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> MulAssign<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) { |
| <span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">&*</span><span class="self">self </span>* other; |
| } |
| } |
| <span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>MulAssign <span class="kw">for </span>BigInt, mul_assign); |
| |
| <span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Mul <span class="kw">for </span>BigInt, mul); |
| <span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>MulAssign <span class="kw">for </span>BigInt, mul_assign); |
| <span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul<u32> <span class="kw">for </span>BigInt, mul); |
| <span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul<u64> <span class="kw">for </span>BigInt, mul); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul<u128> <span class="kw">for </span>BigInt, mul); |
| |
| <span class="kw">impl </span>Mul<u32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, other: u32) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data * other) |
| } |
| } |
| |
| <span class="kw">impl </span>MulAssign<u32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u32) { |
| <span class="self">self</span>.data <span class="kw-2">*</span>= other; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Mul<u64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, other: u64) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data * other) |
| } |
| } |
| |
| <span class="kw">impl </span>MulAssign<u64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u64) { |
| <span class="self">self</span>.data <span class="kw-2">*</span>= other; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Mul<u128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, other: u128) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data * other) |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>MulAssign<u128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u128) { |
| <span class="self">self</span>.data <span class="kw-2">*</span>= other; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| |
| <span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul<i32> <span class="kw">for </span>BigInt, mul); |
| <span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul<i64> <span class="kw">for </span>BigInt, mul); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val_commutative!</span>(<span class="kw">impl </span>Mul<i128> <span class="kw">for </span>BigInt, mul); |
| |
| <span class="kw">impl </span>Mul<i32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, other: i32) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>* other <span class="kw">as </span>u32 |
| } <span class="kw">else </span>{ |
| -(<span class="self">self </span>* i32_abs_as_u32(other)) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>MulAssign<i32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i32) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= other <span class="kw">as </span>u32; |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.sign = -<span class="self">self</span>.sign; |
| <span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= i32_abs_as_u32(other); |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Mul<i64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, other: i64) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>* other <span class="kw">as </span>u64 |
| } <span class="kw">else </span>{ |
| -(<span class="self">self </span>* i64_abs_as_u64(other)) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>MulAssign<i64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i64) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= other <span class="kw">as </span>u64; |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.sign = -<span class="self">self</span>.sign; |
| <span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= i64_abs_as_u64(other); |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Mul<i128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, other: i128) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>* other <span class="kw">as </span>u128 |
| } <span class="kw">else </span>{ |
| -(<span class="self">self </span>* i128_abs_as_u128(other)) |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>MulAssign<i128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i128) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= other <span class="kw">as </span>u128; |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.sign = -<span class="self">self</span>.sign; |
| <span class="kw-2">*</span><span class="self">self </span><span class="kw-2">*</span>= i128_abs_as_u128(other); |
| } |
| } |
| } |
| |
| <span class="macro">forward_all_binop_to_ref_ref!</span>(<span class="kw">impl </span>Div <span class="kw">for </span>BigInt, div); |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>> Div<<span class="kw-2">&</span><span class="lifetime">'b </span>BigInt> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="kw">let </span>(q, <span class="kw">_</span>) = <span class="self">self</span>.div_rem(other); |
| q |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> DivAssign<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) { |
| <span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">&*</span><span class="self">self </span>/ other; |
| } |
| } |
| <span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>DivAssign <span class="kw">for </span>BigInt, div_assign); |
| |
| <span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Div <span class="kw">for </span>BigInt, div); |
| <span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>DivAssign <span class="kw">for </span>BigInt, div_assign); |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div<u32> <span class="kw">for </span>BigInt, div); |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div<u64> <span class="kw">for </span>BigInt, div); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div<u128> <span class="kw">for </span>BigInt, div); |
| |
| <span class="kw">impl </span>Div<u32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: u32) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data / other) |
| } |
| } |
| |
| <span class="kw">impl </span>DivAssign<u32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u32) { |
| <span class="self">self</span>.data /= other; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Div<BigInt> <span class="kw">for </span>u32 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -> BigInt { |
| BigInt::from_biguint(other.sign, <span class="self">self </span>/ other.data) |
| } |
| } |
| |
| <span class="kw">impl </span>Div<u64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: u64) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data / other) |
| } |
| } |
| |
| <span class="kw">impl </span>DivAssign<u64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u64) { |
| <span class="self">self</span>.data /= other; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Div<BigInt> <span class="kw">for </span>u64 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -> BigInt { |
| BigInt::from_biguint(other.sign, <span class="self">self </span>/ other.data) |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Div<u128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: u128) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data / other) |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>DivAssign<u128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u128) { |
| <span class="self">self</span>.data /= other; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Div<BigInt> <span class="kw">for </span>u128 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -> BigInt { |
| BigInt::from_biguint(other.sign, <span class="self">self </span>/ other.data) |
| } |
| } |
| |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div<i32> <span class="kw">for </span>BigInt, div); |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div<i64> <span class="kw">for </span>BigInt, div); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Div<i128> <span class="kw">for </span>BigInt, div); |
| |
| <span class="kw">impl </span>Div<i32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: i32) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>/ other <span class="kw">as </span>u32 |
| } <span class="kw">else </span>{ |
| -(<span class="self">self </span>/ i32_abs_as_u32(other)) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>DivAssign<i32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i32) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>/= other <span class="kw">as </span>u32; |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.sign = -<span class="self">self</span>.sign; |
| <span class="kw-2">*</span><span class="self">self </span>/= i32_abs_as_u32(other); |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Div<BigInt> <span class="kw">for </span>i32 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="kw">if </span><span class="self">self </span>>= <span class="number">0 </span>{ |
| <span class="self">self </span><span class="kw">as </span>u32 / other |
| } <span class="kw">else </span>{ |
| -(i32_abs_as_u32(<span class="self">self</span>) / other) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Div<i64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: i64) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>/ other <span class="kw">as </span>u64 |
| } <span class="kw">else </span>{ |
| -(<span class="self">self </span>/ i64_abs_as_u64(other)) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>DivAssign<i64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i64) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>/= other <span class="kw">as </span>u64; |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.sign = -<span class="self">self</span>.sign; |
| <span class="kw-2">*</span><span class="self">self </span>/= i64_abs_as_u64(other); |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Div<BigInt> <span class="kw">for </span>i64 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="kw">if </span><span class="self">self </span>>= <span class="number">0 </span>{ |
| <span class="self">self </span><span class="kw">as </span>u64 / other |
| } <span class="kw">else </span>{ |
| -(i64_abs_as_u64(<span class="self">self</span>) / other) |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Div<i128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: i128) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>/ other <span class="kw">as </span>u128 |
| } <span class="kw">else </span>{ |
| -(<span class="self">self </span>/ i128_abs_as_u128(other)) |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>DivAssign<i128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i128) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>/= other <span class="kw">as </span>u128; |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.sign = -<span class="self">self</span>.sign; |
| <span class="kw-2">*</span><span class="self">self </span>/= i128_abs_as_u128(other); |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Div<BigInt> <span class="kw">for </span>i128 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="kw">if </span><span class="self">self </span>>= <span class="number">0 </span>{ |
| <span class="self">self </span><span class="kw">as </span>u128 / other |
| } <span class="kw">else </span>{ |
| -(i128_abs_as_u128(<span class="self">self</span>) / other) |
| } |
| } |
| } |
| |
| <span class="macro">forward_all_binop_to_ref_ref!</span>(<span class="kw">impl </span>Rem <span class="kw">for </span>BigInt, rem); |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>> Rem<<span class="kw-2">&</span><span class="lifetime">'b </span>BigInt> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="kw">let </span>(<span class="kw">_</span>, r) = <span class="self">self</span>.div_rem(other); |
| r |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> RemAssign<<span class="kw-2">&</span><span class="lifetime">'a </span>BigInt> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) { |
| <span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">&*</span><span class="self">self </span>% other; |
| } |
| } |
| <span class="macro">forward_val_assign!</span>(<span class="kw">impl </span>RemAssign <span class="kw">for </span>BigInt, rem_assign); |
| |
| <span class="macro">promote_all_scalars!</span>(<span class="kw">impl </span>Rem <span class="kw">for </span>BigInt, rem); |
| <span class="macro">promote_all_scalars_assign!</span>(<span class="kw">impl </span>RemAssign <span class="kw">for </span>BigInt, rem_assign); |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem<u32> <span class="kw">for </span>BigInt, rem); |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem<u64> <span class="kw">for </span>BigInt, rem); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem<u128> <span class="kw">for </span>BigInt, rem); |
| |
| <span class="kw">impl </span>Rem<u32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: u32) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data % other) |
| } |
| } |
| |
| <span class="kw">impl </span>RemAssign<u32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u32) { |
| <span class="self">self</span>.data %= other; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Rem<BigInt> <span class="kw">for </span>u32 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -> BigInt { |
| BigInt::from_biguint(Plus, <span class="self">self </span>% other.data) |
| } |
| } |
| |
| <span class="kw">impl </span>Rem<u64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: u64) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data % other) |
| } |
| } |
| |
| <span class="kw">impl </span>RemAssign<u64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u64) { |
| <span class="self">self</span>.data %= other; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Rem<BigInt> <span class="kw">for </span>u64 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -> BigInt { |
| BigInt::from_biguint(Plus, <span class="self">self </span>% other.data) |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Rem<u128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: u128) -> BigInt { |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data % other) |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>RemAssign<u128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: u128) { |
| <span class="self">self</span>.data %= other; |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Rem<BigInt> <span class="kw">for </span>u128 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -> BigInt { |
| BigInt::from_biguint(Plus, <span class="self">self </span>% other.data) |
| } |
| } |
| |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem<i32> <span class="kw">for </span>BigInt, rem); |
| <span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem<i64> <span class="kw">for </span>BigInt, rem); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">forward_all_scalar_binop_to_val_val!</span>(<span class="kw">impl </span>Rem<i128> <span class="kw">for </span>BigInt, rem); |
| |
| <span class="kw">impl </span>Rem<i32> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: i32) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>% other <span class="kw">as </span>u32 |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>% i32_abs_as_u32(other) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>RemAssign<i32> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i32) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>%= other <span class="kw">as </span>u32; |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>%= i32_abs_as_u32(other); |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Rem<BigInt> <span class="kw">for </span>i32 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="kw">if </span><span class="self">self </span>>= <span class="number">0 </span>{ |
| <span class="self">self </span><span class="kw">as </span>u32 % other |
| } <span class="kw">else </span>{ |
| -(i32_abs_as_u32(<span class="self">self</span>) % other) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Rem<i64> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: i64) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>% other <span class="kw">as </span>u64 |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>% i64_abs_as_u64(other) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>RemAssign<i64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i64) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>%= other <span class="kw">as </span>u64; |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>%= i64_abs_as_u64(other); |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Rem<BigInt> <span class="kw">for </span>i64 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="kw">if </span><span class="self">self </span>>= <span class="number">0 </span>{ |
| <span class="self">self </span><span class="kw">as </span>u64 % other |
| } <span class="kw">else </span>{ |
| -(i64_abs_as_u64(<span class="self">self</span>) % other) |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Rem<i128> <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: i128) -> BigInt { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="self">self </span>% other <span class="kw">as </span>u128 |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>% i128_abs_as_u128(other) |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>RemAssign<i128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: i128) { |
| <span class="kw">if </span>other >= <span class="number">0 </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>%= other <span class="kw">as </span>u128; |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span><span class="self">self </span>%= i128_abs_as_u128(other); |
| } |
| } |
| } |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>Rem<BigInt> <span class="kw">for </span>i128 { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>rem(<span class="self">self</span>, other: BigInt) -> BigInt { |
| <span class="kw">if </span><span class="self">self </span>>= <span class="number">0 </span>{ |
| <span class="self">self </span><span class="kw">as </span>u128 % other |
| } <span class="kw">else </span>{ |
| -(i128_abs_as_u128(<span class="self">self</span>) % other) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>Neg <span class="kw">for </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>neg(<span class="kw-2">mut </span><span class="self">self</span>) -> BigInt { |
| <span class="self">self</span>.sign = -<span class="self">self</span>.sign; |
| <span class="self">self |
| </span>} |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>> Neg <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>BigInt { |
| <span class="kw">type </span>Output = BigInt; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>neg(<span class="self">self</span>) -> BigInt { |
| -<span class="self">self</span>.clone() |
| } |
| } |
| |
| <span class="kw">impl </span>CheckedAdd <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_add(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>BigInt) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.add(v)) |
| } |
| } |
| |
| <span class="kw">impl </span>CheckedSub <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_sub(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>BigInt) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.sub(v)) |
| } |
| } |
| |
| <span class="kw">impl </span>CheckedMul <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_mul(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>BigInt) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.mul(v)) |
| } |
| } |
| |
| <span class="kw">impl </span>CheckedDiv <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_div(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>BigInt) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="kw">if </span>v.is_zero() { |
| <span class="kw">return </span><span class="prelude-val">None</span>; |
| } |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.div(v)) |
| } |
| } |
| |
| <span class="kw">impl </span>Integer <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_rem(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> (BigInt, BigInt) { |
| <span class="comment">// r.sign == self.sign |
| </span><span class="kw">let </span>(d_ui, r_ui) = <span class="self">self</span>.data.div_mod_floor(<span class="kw-2">&</span>other.data); |
| <span class="kw">let </span>d = BigInt::from_biguint(<span class="self">self</span>.sign, d_ui); |
| <span class="kw">let </span>r = BigInt::from_biguint(<span class="self">self</span>.sign, r_ui); |
| <span class="kw">if </span>other.is_negative() { |
| (-d, r) |
| } <span class="kw">else </span>{ |
| (d, r) |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div_floor(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="kw">let </span>(d, <span class="kw">_</span>) = <span class="self">self</span>.div_mod_floor(other); |
| d |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mod_floor(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| <span class="kw">let </span>(<span class="kw">_</span>, m) = <span class="self">self</span>.div_mod_floor(other); |
| m |
| } |
| |
| <span class="kw">fn </span>div_mod_floor(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> (BigInt, BigInt) { |
| <span class="comment">// m.sign == other.sign |
| </span><span class="kw">let </span>(d_ui, m_ui) = <span class="self">self</span>.data.div_rem(<span class="kw-2">&</span>other.data); |
| <span class="kw">let </span>d = BigInt::from_biguint(Plus, d_ui); |
| <span class="kw">let </span>m = BigInt::from_biguint(Plus, m_ui); |
| <span class="kw">let </span>one: BigInt = One::one(); |
| <span class="kw">match </span>(<span class="self">self</span>.sign, other.sign) { |
| (<span class="kw">_</span>, NoSign) => <span class="macro">panic!</span>(), |
| (Plus, Plus) | (NoSign, Plus) => (d, m), |
| (Plus, Minus) | (NoSign, Minus) => { |
| <span class="kw">if </span>m.is_zero() { |
| (-d, Zero::zero()) |
| } <span class="kw">else </span>{ |
| (-d - one, m + other) |
| } |
| } |
| (Minus, Plus) => { |
| <span class="kw">if </span>m.is_zero() { |
| (-d, Zero::zero()) |
| } <span class="kw">else </span>{ |
| (-d - one, other - m) |
| } |
| } |
| (Minus, Minus) => (d, -m), |
| } |
| } |
| |
| <span class="doccomment">/// Calculates the Greatest Common Divisor (GCD) of the number and `other`. |
| /// |
| /// The result is always positive. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>gcd(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| BigInt::from_biguint(Plus, <span class="self">self</span>.data.gcd(<span class="kw-2">&</span>other.data)) |
| } |
| |
| <span class="doccomment">/// Calculates the Lowest Common Multiple (LCM) of the number and `other`. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>lcm(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> BigInt { |
| BigInt::from_biguint(Plus, <span class="self">self</span>.data.lcm(<span class="kw-2">&</span>other.data)) |
| } |
| |
| <span class="doccomment">/// Deprecated, use `is_multiple_of` instead. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>divides(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> bool { |
| <span class="self">self</span>.is_multiple_of(other) |
| } |
| |
| <span class="doccomment">/// Returns `true` if the number is a multiple of `other`. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_multiple_of(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>BigInt) -> bool { |
| <span class="self">self</span>.data.is_multiple_of(<span class="kw-2">&</span>other.data) |
| } |
| |
| <span class="doccomment">/// Returns `true` if the number is divisible by `2`. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_even(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| <span class="self">self</span>.data.is_even() |
| } |
| |
| <span class="doccomment">/// Returns `true` if the number is not divisible by `2`. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_odd(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| <span class="self">self</span>.data.is_odd() |
| } |
| } |
| |
| <span class="kw">impl </span>Roots <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>nth_root(<span class="kw-2">&</span><span class="self">self</span>, n: u32) -> <span class="self">Self </span>{ |
| <span class="macro">assert!</span>( |
| !(<span class="self">self</span>.is_negative() && n.is_even()), |
| <span class="string">"root of degree {} is imaginary"</span>, |
| n |
| ); |
| |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data.nth_root(n)) |
| } |
| |
| <span class="kw">fn </span>sqrt(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="self">Self </span>{ |
| <span class="macro">assert!</span>(!<span class="self">self</span>.is_negative(), <span class="string">"square root is imaginary"</span>); |
| |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data.sqrt()) |
| } |
| |
| <span class="kw">fn </span>cbrt(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="self">Self </span>{ |
| BigInt::from_biguint(<span class="self">self</span>.sign, <span class="self">self</span>.data.cbrt()) |
| } |
| } |
| |
| <span class="kw">impl </span>ToPrimitive <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>to_i64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><i64> { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| Plus => <span class="self">self</span>.data.to_i64(), |
| NoSign => <span class="prelude-val">Some</span>(<span class="number">0</span>), |
| Minus => <span class="self">self</span>.data.to_u64().and_then(|n| { |
| <span class="kw">let </span>m: u64 = <span class="number">1 </span><< <span class="number">63</span>; |
| <span class="kw">if </span>n < m { |
| <span class="prelude-val">Some</span>(-(n <span class="kw">as </span>i64)) |
| } <span class="kw">else if </span>n == m { |
| <span class="prelude-val">Some</span>(i64::MIN) |
| } <span class="kw">else </span>{ |
| <span class="prelude-val">None |
| </span>} |
| }), |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| #[cfg(has_i128)] |
| </span><span class="kw">fn </span>to_i128(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><i128> { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| Plus => <span class="self">self</span>.data.to_i128(), |
| NoSign => <span class="prelude-val">Some</span>(<span class="number">0</span>), |
| Minus => <span class="self">self</span>.data.to_u128().and_then(|n| { |
| <span class="kw">let </span>m: u128 = <span class="number">1 </span><< <span class="number">127</span>; |
| <span class="kw">if </span>n < m { |
| <span class="prelude-val">Some</span>(-(n <span class="kw">as </span>i128)) |
| } <span class="kw">else if </span>n == m { |
| <span class="prelude-val">Some</span>(i128::MIN) |
| } <span class="kw">else </span>{ |
| <span class="prelude-val">None |
| </span>} |
| }), |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>to_u64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><u64> { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| Plus => <span class="self">self</span>.data.to_u64(), |
| NoSign => <span class="prelude-val">Some</span>(<span class="number">0</span>), |
| Minus => <span class="prelude-val">None</span>, |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| #[cfg(has_i128)] |
| </span><span class="kw">fn </span>to_u128(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><u128> { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| Plus => <span class="self">self</span>.data.to_u128(), |
| NoSign => <span class="prelude-val">Some</span>(<span class="number">0</span>), |
| Minus => <span class="prelude-val">None</span>, |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>to_f32(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><f32> { |
| <span class="self">self</span>.data |
| .to_f32() |
| .map(|n| <span class="kw">if </span><span class="self">self</span>.sign == Minus { -n } <span class="kw">else </span>{ n }) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>to_f64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><f64> { |
| <span class="self">self</span>.data |
| .to_f64() |
| .map(|n| <span class="kw">if </span><span class="self">self</span>.sign == Minus { -n } <span class="kw">else </span>{ n }) |
| } |
| } |
| |
| <span class="kw">impl </span>FromPrimitive <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from_i64(n: i64) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(BigInt::from(n)) |
| } |
| |
| <span class="attribute">#[inline] |
| #[cfg(has_i128)] |
| </span><span class="kw">fn </span>from_i128(n: i128) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(BigInt::from(n)) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from_u64(n: u64) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(BigInt::from(n)) |
| } |
| |
| <span class="attribute">#[inline] |
| #[cfg(has_i128)] |
| </span><span class="kw">fn </span>from_u128(n: u128) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(BigInt::from(n)) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from_f64(n: f64) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="kw">if </span>n >= <span class="number">0.0 </span>{ |
| BigUint::from_f64(n).map(|x| BigInt::from_biguint(Plus, x)) |
| } <span class="kw">else </span>{ |
| BigUint::from_f64(-n).map(|x| BigInt::from_biguint(Minus, x)) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>From<i64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from(n: i64) -> <span class="self">Self </span>{ |
| <span class="kw">if </span>n >= <span class="number">0 </span>{ |
| BigInt::from(n <span class="kw">as </span>u64) |
| } <span class="kw">else </span>{ |
| <span class="kw">let </span>u = u64::MAX - (n <span class="kw">as </span>u64) + <span class="number">1</span>; |
| BigInt { |
| sign: Minus, |
| data: BigUint::from(u), |
| } |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>From<i128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from(n: i128) -> <span class="self">Self </span>{ |
| <span class="kw">if </span>n >= <span class="number">0 </span>{ |
| BigInt::from(n <span class="kw">as </span>u128) |
| } <span class="kw">else </span>{ |
| <span class="kw">let </span>u = u128::MAX - (n <span class="kw">as </span>u128) + <span class="number">1</span>; |
| BigInt { |
| sign: Minus, |
| data: BigUint::from(u), |
| } |
| } |
| } |
| } |
| |
| <span class="macro">macro_rules! </span>impl_bigint_from_int { |
| (<span class="macro-nonterminal">$T</span>:ty) => { |
| <span class="kw">impl </span>From<<span class="macro-nonterminal">$T</span>> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from(n: <span class="macro-nonterminal">$T</span>) -> <span class="self">Self </span>{ |
| BigInt::from(n <span class="kw">as </span>i64) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">impl_bigint_from_int!</span>(i8); |
| <span class="macro">impl_bigint_from_int!</span>(i16); |
| <span class="macro">impl_bigint_from_int!</span>(i32); |
| <span class="macro">impl_bigint_from_int!</span>(isize); |
| |
| <span class="kw">impl </span>From<u64> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from(n: u64) -> <span class="self">Self </span>{ |
| <span class="kw">if </span>n > <span class="number">0 </span>{ |
| BigInt { |
| sign: Plus, |
| data: BigUint::from(n), |
| } |
| } <span class="kw">else </span>{ |
| BigInt::zero() |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="kw">impl </span>From<u128> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from(n: u128) -> <span class="self">Self </span>{ |
| <span class="kw">if </span>n > <span class="number">0 </span>{ |
| BigInt { |
| sign: Plus, |
| data: BigUint::from(n), |
| } |
| } <span class="kw">else </span>{ |
| BigInt::zero() |
| } |
| } |
| } |
| |
| <span class="macro">macro_rules! </span>impl_bigint_from_uint { |
| (<span class="macro-nonterminal">$T</span>:ty) => { |
| <span class="kw">impl </span>From<<span class="macro-nonterminal">$T</span>> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from(n: <span class="macro-nonterminal">$T</span>) -> <span class="self">Self </span>{ |
| BigInt::from(n <span class="kw">as </span>u64) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">impl_bigint_from_uint!</span>(u8); |
| <span class="macro">impl_bigint_from_uint!</span>(u16); |
| <span class="macro">impl_bigint_from_uint!</span>(u32); |
| <span class="macro">impl_bigint_from_uint!</span>(usize); |
| |
| <span class="kw">impl </span>From<BigUint> <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from(n: BigUint) -> <span class="self">Self </span>{ |
| <span class="kw">if </span>n.is_zero() { |
| BigInt::zero() |
| } <span class="kw">else </span>{ |
| BigInt { |
| sign: Plus, |
| data: n, |
| } |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>IntDigits <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>digits(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="kw-2">&</span>[BigDigit] { |
| <span class="self">self</span>.data.digits() |
| } |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>digits_mut(<span class="kw-2">&mut </span><span class="self">self</span>) -> <span class="kw-2">&mut </span>Vec<BigDigit> { |
| <span class="self">self</span>.data.digits_mut() |
| } |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>normalize(<span class="kw-2">&mut </span><span class="self">self</span>) { |
| <span class="self">self</span>.data.normalize(); |
| <span class="kw">if </span><span class="self">self</span>.data.is_zero() { |
| <span class="self">self</span>.sign = NoSign; |
| } |
| } |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>capacity(<span class="kw-2">&</span><span class="self">self</span>) -> usize { |
| <span class="self">self</span>.data.capacity() |
| } |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>len(<span class="kw-2">&</span><span class="self">self</span>) -> usize { |
| <span class="self">self</span>.data.len() |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"serde"</span>)] |
| </span><span class="kw">impl </span>serde::Serialize <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>serialize<S>(<span class="kw-2">&</span><span class="self">self</span>, serializer: S) -> <span class="prelude-ty">Result</span><S::Ok, S::Error> |
| <span class="kw">where |
| </span>S: serde::Serializer, |
| { |
| <span class="comment">// Note: do not change the serialization format, or it may break |
| // forward and backward compatibility of serialized data! |
| </span>(<span class="self">self</span>.sign, <span class="kw-2">&</span><span class="self">self</span>.data).serialize(serializer) |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"serde"</span>)] |
| </span><span class="kw">impl</span><<span class="lifetime">'de</span>> serde::Deserialize<<span class="lifetime">'de</span>> <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>deserialize<D>(deserializer: D) -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, D::Error> |
| <span class="kw">where |
| </span>D: serde::Deserializer<<span class="lifetime">'de</span>>, |
| { |
| <span class="kw">let </span>(sign, data) = serde::Deserialize::deserialize(deserializer)<span class="question-mark">?</span>; |
| <span class="prelude-val">Ok</span>(BigInt::from_biguint(sign, data)) |
| } |
| } |
| |
| <span class="doccomment">/// A generic trait for converting a value to a `BigInt`. This may return |
| /// `None` when converting from `f32` or `f64`, and will always succeed |
| /// when converting from any integer or unsigned primitive, or `BigUint`. |
| </span><span class="kw">pub trait </span>ToBigInt { |
| <span class="doccomment">/// Converts the value of `self` to a `BigInt`. |
| </span><span class="kw">fn </span>to_bigint(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><BigInt>; |
| } |
| |
| <span class="kw">impl </span>ToBigInt <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>to_bigint(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.clone()) |
| } |
| } |
| |
| <span class="kw">impl </span>ToBigInt <span class="kw">for </span>BigUint { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>to_bigint(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="kw">if </span><span class="self">self</span>.is_zero() { |
| <span class="prelude-val">Some</span>(Zero::zero()) |
| } <span class="kw">else </span>{ |
| <span class="prelude-val">Some</span>(BigInt { |
| sign: Plus, |
| data: <span class="self">self</span>.clone(), |
| }) |
| } |
| } |
| } |
| |
| <span class="kw">impl </span>biguint::ToBigUint <span class="kw">for </span>BigInt { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>to_biguint(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><BigUint> { |
| <span class="kw">match </span><span class="self">self</span>.sign() { |
| Plus => <span class="prelude-val">Some</span>(<span class="self">self</span>.data.clone()), |
| NoSign => <span class="prelude-val">Some</span>(Zero::zero()), |
| Minus => <span class="prelude-val">None</span>, |
| } |
| } |
| } |
| |
| <span class="macro">macro_rules! </span>impl_to_bigint { |
| (<span class="macro-nonterminal">$T</span>:ty, <span class="macro-nonterminal">$from_ty</span>:path) => { |
| <span class="kw">impl </span>ToBigInt <span class="kw">for </span><span class="macro-nonterminal">$T </span>{ |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>to_bigint(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="macro-nonterminal">$from_ty</span>(<span class="kw-2">*</span><span class="self">self</span>) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">impl_to_bigint!</span>(isize, FromPrimitive::from_isize); |
| <span class="macro">impl_to_bigint!</span>(i8, FromPrimitive::from_i8); |
| <span class="macro">impl_to_bigint!</span>(i16, FromPrimitive::from_i16); |
| <span class="macro">impl_to_bigint!</span>(i32, FromPrimitive::from_i32); |
| <span class="macro">impl_to_bigint!</span>(i64, FromPrimitive::from_i64); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">impl_to_bigint!</span>(i128, FromPrimitive::from_i128); |
| |
| <span class="macro">impl_to_bigint!</span>(usize, FromPrimitive::from_usize); |
| <span class="macro">impl_to_bigint!</span>(u8, FromPrimitive::from_u8); |
| <span class="macro">impl_to_bigint!</span>(u16, FromPrimitive::from_u16); |
| <span class="macro">impl_to_bigint!</span>(u32, FromPrimitive::from_u32); |
| <span class="macro">impl_to_bigint!</span>(u64, FromPrimitive::from_u64); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">impl_to_bigint!</span>(u128, FromPrimitive::from_u128); |
| |
| <span class="macro">impl_to_bigint!</span>(f32, FromPrimitive::from_f32); |
| <span class="macro">impl_to_bigint!</span>(f64, FromPrimitive::from_f64); |
| |
| <span class="kw">impl </span>BigInt { |
| <span class="doccomment">/// Creates and initializes a BigInt. |
| /// |
| /// The base 2<sup>32</sup> digits are ordered least significant digit first. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>new(sign: Sign, digits: Vec<u32>) -> BigInt { |
| BigInt::from_biguint(sign, BigUint::new(digits)) |
| } |
| |
| <span class="doccomment">/// Creates and initializes a `BigInt`. |
| /// |
| /// The base 2<sup>32</sup> digits are ordered least significant digit first. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>from_biguint(<span class="kw-2">mut </span>sign: Sign, <span class="kw-2">mut </span>data: BigUint) -> BigInt { |
| <span class="kw">if </span>sign == NoSign { |
| data.assign_from_slice(<span class="kw-2">&</span>[]); |
| } <span class="kw">else if </span>data.is_zero() { |
| sign = NoSign; |
| } |
| |
| BigInt { |
| sign: sign, |
| data: data, |
| } |
| } |
| |
| <span class="doccomment">/// Creates and initializes a `BigInt`. |
| /// |
| /// The base 2<sup>32</sup> digits are ordered least significant digit first. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>from_slice(sign: Sign, slice: <span class="kw-2">&</span>[u32]) -> BigInt { |
| BigInt::from_biguint(sign, BigUint::from_slice(slice)) |
| } |
| |
| <span class="doccomment">/// Reinitializes a `BigInt`. |
| /// |
| /// The base 2<sup>32</sup> digits are ordered least significant digit first. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>assign_from_slice(<span class="kw-2">&mut </span><span class="self">self</span>, sign: Sign, slice: <span class="kw-2">&</span>[u32]) { |
| <span class="kw">if </span>sign == NoSign { |
| <span class="self">self</span>.data.assign_from_slice(<span class="kw-2">&</span>[]); |
| <span class="self">self</span>.sign = NoSign; |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.data.assign_from_slice(slice); |
| <span class="self">self</span>.sign = <span class="kw">match </span><span class="self">self</span>.data.is_zero() { |
| <span class="bool-val">true </span>=> NoSign, |
| <span class="bool-val">false </span>=> sign, |
| } |
| } |
| } |
| |
| <span class="doccomment">/// Creates and initializes a `BigInt`. |
| /// |
| /// The bytes are in big-endian byte order. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{BigInt, Sign}; |
| /// |
| /// assert_eq!(BigInt::from_bytes_be(Sign::Plus, b"A"), |
| /// BigInt::parse_bytes(b"65", 10).unwrap()); |
| /// assert_eq!(BigInt::from_bytes_be(Sign::Plus, b"AA"), |
| /// BigInt::parse_bytes(b"16705", 10).unwrap()); |
| /// assert_eq!(BigInt::from_bytes_be(Sign::Plus, b"AB"), |
| /// BigInt::parse_bytes(b"16706", 10).unwrap()); |
| /// assert_eq!(BigInt::from_bytes_be(Sign::Plus, b"Hello world!"), |
| /// BigInt::parse_bytes(b"22405534230753963835153736737", 10).unwrap()); |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>from_bytes_be(sign: Sign, bytes: <span class="kw-2">&</span>[u8]) -> BigInt { |
| BigInt::from_biguint(sign, BigUint::from_bytes_be(bytes)) |
| } |
| |
| <span class="doccomment">/// Creates and initializes a `BigInt`. |
| /// |
| /// The bytes are in little-endian byte order. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>from_bytes_le(sign: Sign, bytes: <span class="kw-2">&</span>[u8]) -> BigInt { |
| BigInt::from_biguint(sign, BigUint::from_bytes_le(bytes)) |
| } |
| |
| <span class="doccomment">/// Creates and initializes a `BigInt` from an array of bytes in |
| /// two's complement binary representation. |
| /// |
| /// The digits are in big-endian base 2<sup>8</sup>. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>from_signed_bytes_be(digits: <span class="kw-2">&</span>[u8]) -> BigInt { |
| <span class="kw">let </span>sign = <span class="kw">match </span>digits.first() { |
| <span class="prelude-val">Some</span>(v) <span class="kw">if </span><span class="kw-2">*</span>v > <span class="number">0x7f </span>=> Sign::Minus, |
| <span class="prelude-val">Some</span>(<span class="kw">_</span>) => Sign::Plus, |
| <span class="prelude-val">None </span>=> <span class="kw">return </span>BigInt::zero(), |
| }; |
| |
| <span class="kw">if </span>sign == Sign::Minus { |
| <span class="comment">// two's-complement the content to retrieve the magnitude |
| </span><span class="kw">let </span><span class="kw-2">mut </span>digits = Vec::from(digits); |
| twos_complement_be(<span class="kw-2">&mut </span>digits); |
| BigInt::from_biguint(sign, BigUint::from_bytes_be(<span class="kw-2">&*</span>digits)) |
| } <span class="kw">else </span>{ |
| BigInt::from_biguint(sign, BigUint::from_bytes_be(digits)) |
| } |
| } |
| |
| <span class="doccomment">/// Creates and initializes a `BigInt` from an array of bytes in two's complement. |
| /// |
| /// The digits are in little-endian base 2<sup>8</sup>. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>from_signed_bytes_le(digits: <span class="kw-2">&</span>[u8]) -> BigInt { |
| <span class="kw">let </span>sign = <span class="kw">match </span>digits.last() { |
| <span class="prelude-val">Some</span>(v) <span class="kw">if </span><span class="kw-2">*</span>v > <span class="number">0x7f </span>=> Sign::Minus, |
| <span class="prelude-val">Some</span>(<span class="kw">_</span>) => Sign::Plus, |
| <span class="prelude-val">None </span>=> <span class="kw">return </span>BigInt::zero(), |
| }; |
| |
| <span class="kw">if </span>sign == Sign::Minus { |
| <span class="comment">// two's-complement the content to retrieve the magnitude |
| </span><span class="kw">let </span><span class="kw-2">mut </span>digits = Vec::from(digits); |
| twos_complement_le(<span class="kw-2">&mut </span>digits); |
| BigInt::from_biguint(sign, BigUint::from_bytes_le(<span class="kw-2">&*</span>digits)) |
| } <span class="kw">else </span>{ |
| BigInt::from_biguint(sign, BigUint::from_bytes_le(digits)) |
| } |
| } |
| |
| <span class="doccomment">/// Creates and initializes a `BigInt`. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{BigInt, ToBigInt}; |
| /// |
| /// assert_eq!(BigInt::parse_bytes(b"1234", 10), ToBigInt::to_bigint(&1234)); |
| /// assert_eq!(BigInt::parse_bytes(b"ABCD", 16), ToBigInt::to_bigint(&0xABCD)); |
| /// assert_eq!(BigInt::parse_bytes(b"G", 16), None); |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>parse_bytes(buf: <span class="kw-2">&</span>[u8], radix: u32) -> <span class="prelude-ty">Option</span><BigInt> { |
| str::from_utf8(buf) |
| .ok() |
| .and_then(|s| BigInt::from_str_radix(s, radix).ok()) |
| } |
| |
| <span class="doccomment">/// Creates and initializes a `BigInt`. Each u8 of the input slice is |
| /// interpreted as one digit of the number |
| /// and must therefore be less than `radix`. |
| /// |
| /// The bytes are in big-endian byte order. |
| /// `radix` must be in the range `2...256`. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{BigInt, Sign}; |
| /// |
| /// let inbase190 = vec![15, 33, 125, 12, 14]; |
| /// let a = BigInt::from_radix_be(Sign::Minus, &inbase190, 190).unwrap(); |
| /// assert_eq!(a.to_radix_be(190), (Sign:: Minus, inbase190)); |
| /// ``` |
| </span><span class="kw">pub fn </span>from_radix_be(sign: Sign, buf: <span class="kw-2">&</span>[u8], radix: u32) -> <span class="prelude-ty">Option</span><BigInt> { |
| BigUint::from_radix_be(buf, radix).map(|u| BigInt::from_biguint(sign, u)) |
| } |
| |
| <span class="doccomment">/// Creates and initializes a `BigInt`. Each u8 of the input slice is |
| /// interpreted as one digit of the number |
| /// and must therefore be less than `radix`. |
| /// |
| /// The bytes are in little-endian byte order. |
| /// `radix` must be in the range `2...256`. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{BigInt, Sign}; |
| /// |
| /// let inbase190 = vec![14, 12, 125, 33, 15]; |
| /// let a = BigInt::from_radix_be(Sign::Minus, &inbase190, 190).unwrap(); |
| /// assert_eq!(a.to_radix_be(190), (Sign::Minus, inbase190)); |
| /// ``` |
| </span><span class="kw">pub fn </span>from_radix_le(sign: Sign, buf: <span class="kw-2">&</span>[u8], radix: u32) -> <span class="prelude-ty">Option</span><BigInt> { |
| BigUint::from_radix_le(buf, radix).map(|u| BigInt::from_biguint(sign, u)) |
| } |
| |
| <span class="doccomment">/// Returns the sign and the byte representation of the `BigInt` in big-endian byte order. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{ToBigInt, Sign}; |
| /// |
| /// let i = -1125.to_bigint().unwrap(); |
| /// assert_eq!(i.to_bytes_be(), (Sign::Minus, vec![4, 101])); |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_bytes_be(<span class="kw-2">&</span><span class="self">self</span>) -> (Sign, Vec<u8>) { |
| (<span class="self">self</span>.sign, <span class="self">self</span>.data.to_bytes_be()) |
| } |
| |
| <span class="doccomment">/// Returns the sign and the byte representation of the `BigInt` in little-endian byte order. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{ToBigInt, Sign}; |
| /// |
| /// let i = -1125.to_bigint().unwrap(); |
| /// assert_eq!(i.to_bytes_le(), (Sign::Minus, vec![101, 4])); |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_bytes_le(<span class="kw-2">&</span><span class="self">self</span>) -> (Sign, Vec<u8>) { |
| (<span class="self">self</span>.sign, <span class="self">self</span>.data.to_bytes_le()) |
| } |
| |
| <span class="doccomment">/// Returns the sign and the `u32` digits representation of the `BigInt` ordered least |
| /// significant digit first. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{BigInt, Sign}; |
| /// |
| /// assert_eq!(BigInt::from(-1125).to_u32_digits(), (Sign::Minus, vec![1125])); |
| /// assert_eq!(BigInt::from(4294967295u32).to_u32_digits(), (Sign::Plus, vec![4294967295])); |
| /// assert_eq!(BigInt::from(4294967296u64).to_u32_digits(), (Sign::Plus, vec![0, 1])); |
| /// assert_eq!(BigInt::from(-112500000000i64).to_u32_digits(), (Sign::Minus, vec![830850304, 26])); |
| /// assert_eq!(BigInt::from(112500000000i64).to_u32_digits(), (Sign::Plus, vec![830850304, 26])); |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_u32_digits(<span class="kw-2">&</span><span class="self">self</span>) -> (Sign, Vec<u32>) { |
| (<span class="self">self</span>.sign, <span class="self">self</span>.data.to_u32_digits()) |
| } |
| |
| <span class="doccomment">/// Returns the two's-complement byte representation of the `BigInt` in big-endian byte order. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::ToBigInt; |
| /// |
| /// let i = -1125.to_bigint().unwrap(); |
| /// assert_eq!(i.to_signed_bytes_be(), vec![251, 155]); |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_signed_bytes_be(<span class="kw-2">&</span><span class="self">self</span>) -> Vec<u8> { |
| <span class="kw">let </span><span class="kw-2">mut </span>bytes = <span class="self">self</span>.data.to_bytes_be(); |
| <span class="kw">let </span>first_byte = bytes.first().cloned().unwrap_or(<span class="number">0</span>); |
| <span class="kw">if </span>first_byte > <span class="number">0x7f |
| </span>&& !(first_byte == <span class="number">0x80 |
| </span>&& bytes.iter().skip(<span class="number">1</span>).all(Zero::is_zero) |
| && <span class="self">self</span>.sign == Sign::Minus) |
| { |
| <span class="comment">// msb used by magnitude, extend by 1 byte |
| </span>bytes.insert(<span class="number">0</span>, <span class="number">0</span>); |
| } |
| <span class="kw">if </span><span class="self">self</span>.sign == Sign::Minus { |
| twos_complement_be(<span class="kw-2">&mut </span>bytes); |
| } |
| bytes |
| } |
| |
| <span class="doccomment">/// Returns the two's-complement byte representation of the `BigInt` in little-endian byte order. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::ToBigInt; |
| /// |
| /// let i = -1125.to_bigint().unwrap(); |
| /// assert_eq!(i.to_signed_bytes_le(), vec![155, 251]); |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_signed_bytes_le(<span class="kw-2">&</span><span class="self">self</span>) -> Vec<u8> { |
| <span class="kw">let </span><span class="kw-2">mut </span>bytes = <span class="self">self</span>.data.to_bytes_le(); |
| <span class="kw">let </span>last_byte = bytes.last().cloned().unwrap_or(<span class="number">0</span>); |
| <span class="kw">if </span>last_byte > <span class="number">0x7f |
| </span>&& !(last_byte == <span class="number">0x80 |
| </span>&& bytes.iter().rev().skip(<span class="number">1</span>).all(Zero::is_zero) |
| && <span class="self">self</span>.sign == Sign::Minus) |
| { |
| <span class="comment">// msb used by magnitude, extend by 1 byte |
| </span>bytes.push(<span class="number">0</span>); |
| } |
| <span class="kw">if </span><span class="self">self</span>.sign == Sign::Minus { |
| twos_complement_le(<span class="kw-2">&mut </span>bytes); |
| } |
| bytes |
| } |
| |
| <span class="doccomment">/// Returns the integer formatted as a string in the given radix. |
| /// `radix` must be in the range `2...36`. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::BigInt; |
| /// |
| /// let i = BigInt::parse_bytes(b"ff", 16).unwrap(); |
| /// assert_eq!(i.to_str_radix(16), "ff"); |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_str_radix(<span class="kw-2">&</span><span class="self">self</span>, radix: u32) -> String { |
| <span class="kw">let </span><span class="kw-2">mut </span>v = to_str_radix_reversed(<span class="kw-2">&</span><span class="self">self</span>.data, radix); |
| |
| <span class="kw">if </span><span class="self">self</span>.is_negative() { |
| v.push(<span class="string">b'-'</span>); |
| } |
| |
| v.reverse(); |
| <span class="kw">unsafe </span>{ String::from_utf8_unchecked(v) } |
| } |
| |
| <span class="doccomment">/// Returns the integer in the requested base in big-endian digit order. |
| /// The output is not given in a human readable alphabet but as a zero |
| /// based u8 number. |
| /// `radix` must be in the range `2...256`. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{BigInt, Sign}; |
| /// |
| /// assert_eq!(BigInt::from(-0xFFFFi64).to_radix_be(159), |
| /// (Sign::Minus, vec![2, 94, 27])); |
| /// // 0xFFFF = 65535 = 2*(159^2) + 94*159 + 27 |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_radix_be(<span class="kw-2">&</span><span class="self">self</span>, radix: u32) -> (Sign, Vec<u8>) { |
| (<span class="self">self</span>.sign, <span class="self">self</span>.data.to_radix_be(radix)) |
| } |
| |
| <span class="doccomment">/// Returns the integer in the requested base in little-endian digit order. |
| /// The output is not given in a human readable alphabet but as a zero |
| /// based u8 number. |
| /// `radix` must be in the range `2...256`. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{BigInt, Sign}; |
| /// |
| /// assert_eq!(BigInt::from(-0xFFFFi64).to_radix_le(159), |
| /// (Sign::Minus, vec![27, 94, 2])); |
| /// // 0xFFFF = 65535 = 27 + 94*159 + 2*(159^2) |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_radix_le(<span class="kw-2">&</span><span class="self">self</span>, radix: u32) -> (Sign, Vec<u8>) { |
| (<span class="self">self</span>.sign, <span class="self">self</span>.data.to_radix_le(radix)) |
| } |
| |
| <span class="doccomment">/// Returns the sign of the `BigInt` as a `Sign`. |
| /// |
| /// # Examples |
| /// |
| /// ``` |
| /// use num_bigint::{ToBigInt, Sign}; |
| /// |
| /// assert_eq!(ToBigInt::to_bigint(&1234).unwrap().sign(), Sign::Plus); |
| /// assert_eq!(ToBigInt::to_bigint(&-4321).unwrap().sign(), Sign::Minus); |
| /// assert_eq!(ToBigInt::to_bigint(&0).unwrap().sign(), Sign::NoSign); |
| /// ``` |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>sign(<span class="kw-2">&</span><span class="self">self</span>) -> Sign { |
| <span class="self">self</span>.sign |
| } |
| |
| <span class="doccomment">/// Determines the fewest bits necessary to express the `BigInt`, |
| /// not including the sign. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>bits(<span class="kw-2">&</span><span class="self">self</span>) -> usize { |
| <span class="self">self</span>.data.bits() |
| } |
| |
| <span class="doccomment">/// Converts this `BigInt` into a `BigUint`, if it's not negative. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_biguint(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><BigUint> { |
| <span class="kw">match </span><span class="self">self</span>.sign { |
| Plus => <span class="prelude-val">Some</span>(<span class="self">self</span>.data.clone()), |
| NoSign => <span class="prelude-val">Some</span>(Zero::zero()), |
| Minus => <span class="prelude-val">None</span>, |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>checked_add(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>BigInt) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.add(v)) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>checked_sub(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>BigInt) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.sub(v)) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>checked_mul(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>BigInt) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.mul(v)) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>checked_div(<span class="kw-2">&</span><span class="self">self</span>, v: <span class="kw-2">&</span>BigInt) -> <span class="prelude-ty">Option</span><BigInt> { |
| <span class="kw">if </span>v.is_zero() { |
| <span class="kw">return </span><span class="prelude-val">None</span>; |
| } |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.div(v)) |
| } |
| |
| <span class="doccomment">/// Returns `(self ^ exponent) mod modulus` |
| /// |
| /// Note that this rounds like `mod_floor`, not like the `%` operator, |
| /// which makes a difference when given a negative `self` or `modulus`. |
| /// The result will be in the interval `[0, modulus)` for `modulus > 0`, |
| /// or in the interval `(modulus, 0]` for `modulus < 0` |
| /// |
| /// Panics if the exponent is negative or the modulus is zero. |
| </span><span class="kw">pub fn </span>modpow(<span class="kw-2">&</span><span class="self">self</span>, exponent: <span class="kw-2">&</span><span class="self">Self</span>, modulus: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="self">Self </span>{ |
| <span class="macro">assert!</span>( |
| !exponent.is_negative(), |
| <span class="string">"negative exponentiation is not supported!" |
| </span>); |
| <span class="macro">assert!</span>(!modulus.is_zero(), <span class="string">"divide by zero!"</span>); |
| |
| <span class="kw">let </span>result = <span class="self">self</span>.data.modpow(<span class="kw-2">&</span>exponent.data, <span class="kw-2">&</span>modulus.data); |
| <span class="kw">if </span>result.is_zero() { |
| <span class="kw">return </span>BigInt::zero(); |
| } |
| |
| <span class="comment">// The sign of the result follows the modulus, like `mod_floor`. |
| </span><span class="kw">let </span>(sign, mag) = <span class="kw">match </span>( |
| <span class="self">self</span>.is_negative() && exponent.is_odd(), |
| modulus.is_negative(), |
| ) { |
| (<span class="bool-val">false</span>, <span class="bool-val">false</span>) => (Plus, result), |
| (<span class="bool-val">true</span>, <span class="bool-val">false</span>) => (Plus, <span class="kw-2">&</span>modulus.data - result), |
| (<span class="bool-val">false</span>, <span class="bool-val">true</span>) => (Minus, <span class="kw-2">&</span>modulus.data - result), |
| (<span class="bool-val">true</span>, <span class="bool-val">true</span>) => (Minus, result), |
| }; |
| BigInt::from_biguint(sign, mag) |
| } |
| |
| <span class="doccomment">/// Returns the truncated principal square root of `self` -- |
| /// see [Roots::sqrt](https://docs.rs/num-integer/0.1/num_integer/trait.Roots.html#method.sqrt). |
| </span><span class="kw">pub fn </span>sqrt(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="self">Self </span>{ |
| Roots::sqrt(<span class="self">self</span>) |
| } |
| |
| <span class="doccomment">/// Returns the truncated principal cube root of `self` -- |
| /// see [Roots::cbrt](https://docs.rs/num-integer/0.1/num_integer/trait.Roots.html#method.cbrt). |
| </span><span class="kw">pub fn </span>cbrt(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="self">Self </span>{ |
| Roots::cbrt(<span class="self">self</span>) |
| } |
| |
| <span class="doccomment">/// Returns the truncated principal `n`th root of `self` -- |
| /// See [Roots::nth_root](https://docs.rs/num-integer/0.1/num_integer/trait.Roots.html#tymethod.nth_root). |
| </span><span class="kw">pub fn </span>nth_root(<span class="kw-2">&</span><span class="self">self</span>, n: u32) -> <span class="self">Self </span>{ |
| Roots::nth_root(<span class="self">self</span>, n) |
| } |
| } |
| |
| <span class="macro">impl_sum_iter_type!</span>(BigInt); |
| <span class="macro">impl_product_iter_type!</span>(BigInt); |
| |
| <span class="doccomment">/// Perform in-place two's complement of the given binary representation, |
| /// in little-endian byte order. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>twos_complement_le(digits: <span class="kw-2">&mut </span>[u8]) { |
| twos_complement(digits) |
| } |
| |
| <span class="doccomment">/// Perform in-place two's complement of the given binary representation |
| /// in big-endian byte order. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>twos_complement_be(digits: <span class="kw-2">&mut </span>[u8]) { |
| twos_complement(digits.iter_mut().rev()) |
| } |
| |
| <span class="doccomment">/// Perform in-place two's complement of the given digit iterator |
| /// starting from the least significant byte. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">fn </span>twos_complement<<span class="lifetime">'a</span>, I>(digits: I) |
| <span class="kw">where |
| </span>I: IntoIterator<Item = <span class="kw-2">&</span><span class="lifetime">'a </span><span class="kw-2">mut </span>u8>, |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>carry = <span class="bool-val">true</span>; |
| <span class="kw">for </span>d <span class="kw">in </span>digits { |
| <span class="kw-2">*</span>d = d.not(); |
| <span class="kw">if </span>carry { |
| <span class="kw-2">*</span>d = d.wrapping_add(<span class="number">1</span>); |
| carry = d.is_zero(); |
| } |
| } |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_from_biguint() { |
| <span class="kw">fn </span>check(inp_s: Sign, inp_n: usize, ans_s: Sign, ans_n: usize) { |
| <span class="kw">let </span>inp = BigInt::from_biguint(inp_s, FromPrimitive::from_usize(inp_n).unwrap()); |
| <span class="kw">let </span>ans = BigInt { |
| sign: ans_s, |
| data: FromPrimitive::from_usize(ans_n).unwrap(), |
| }; |
| <span class="macro">assert_eq!</span>(inp, ans); |
| } |
| check(Plus, <span class="number">1</span>, Plus, <span class="number">1</span>); |
| check(Plus, <span class="number">0</span>, NoSign, <span class="number">0</span>); |
| check(Minus, <span class="number">1</span>, Minus, <span class="number">1</span>); |
| check(NoSign, <span class="number">1</span>, NoSign, <span class="number">0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_from_slice() { |
| <span class="kw">fn </span>check(inp_s: Sign, inp_n: u32, ans_s: Sign, ans_n: u32) { |
| <span class="kw">let </span>inp = BigInt::from_slice(inp_s, <span class="kw-2">&</span>[inp_n]); |
| <span class="kw">let </span>ans = BigInt { |
| sign: ans_s, |
| data: FromPrimitive::from_u32(ans_n).unwrap(), |
| }; |
| <span class="macro">assert_eq!</span>(inp, ans); |
| } |
| check(Plus, <span class="number">1</span>, Plus, <span class="number">1</span>); |
| check(Plus, <span class="number">0</span>, NoSign, <span class="number">0</span>); |
| check(Minus, <span class="number">1</span>, Minus, <span class="number">1</span>); |
| check(NoSign, <span class="number">1</span>, NoSign, <span class="number">0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_assign_from_slice() { |
| <span class="kw">fn </span>check(inp_s: Sign, inp_n: u32, ans_s: Sign, ans_n: u32) { |
| <span class="kw">let </span><span class="kw-2">mut </span>inp = BigInt::from_slice(Minus, <span class="kw-2">&</span>[<span class="number">2627_u32</span>, <span class="number">0_u32</span>, <span class="number">9182_u32</span>, <span class="number">42_u32</span>]); |
| inp.assign_from_slice(inp_s, <span class="kw-2">&</span>[inp_n]); |
| <span class="kw">let </span>ans = BigInt { |
| sign: ans_s, |
| data: FromPrimitive::from_u32(ans_n).unwrap(), |
| }; |
| <span class="macro">assert_eq!</span>(inp, ans); |
| } |
| check(Plus, <span class="number">1</span>, Plus, <span class="number">1</span>); |
| check(Plus, <span class="number">0</span>, NoSign, <span class="number">0</span>); |
| check(Minus, <span class="number">1</span>, Minus, <span class="number">1</span>); |
| check(NoSign, <span class="number">1</span>, NoSign, <span class="number">0</span>); |
| } |
| </code></pre></div> |
| </section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="num_bigint" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html> |