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fix bigints and missing plausible link
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pietroppeter committed May 7, 2021
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79 changes: 46 additions & 33 deletions drafts/bigints_examples.html
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<span><code>drafts\bigints_examples.nim</code></span>
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<h1>Bigints Examples</h1>
<p>see <a href="https://github.com/def-/nim-bigints/tree/master/examples">https://github.com/def-/nim-bigints/tree/master/examples</a></p>
<pre><code class="nim hljs"><span class="hljs-keyword">import</span>
Expand All @@ -26,7 +53,8 @@ <h3><a href="http://rosettacode.org/wiki/Arbitrary-precision_integers_(included)
<span class="hljs-keyword">echo</span> s[<span class="hljs-number">0</span> .. <span class="hljs-number">19</span>] &amp; <span class="hljs-string">&quot;...&quot;</span> &amp; s[^<span class="hljs-number">20</span> .. ^<span class="hljs-number">1</span>]
<span class="hljs-keyword">echo</span> s.len, <span class="hljs-string">&quot; digits&quot;</span></code></pre>
<pre><samp>62060698786608744707...92256259918212890625
183231 digits</samp></pre>
183231 digits
</samp></pre>
<h3>Combinations and permutations</h3>
<p>Solution for <a href="http://rosettacode.org/wiki/Combinations_and_permutations">Combinations_and_permutations</a></p>
<pre><code class="nim hljs"><span class="hljs-keyword">proc</span> perm(n, k: <span class="hljs-built_in">int32</span>): <span class="hljs-type">BigInt</span> =
Expand All @@ -51,24 +79,30 @@ <h3>Combinations and permutations</h3>
dump
<span class="hljs-keyword">let</span> permutations = perm(<span class="hljs-number">1000</span>, <span class="hljs-number">969</span>)
permutations</code></pre>
<pre><samp>let combinations = comb(1000, 969)
<pre><samp>
let combinations = comb(1000, 969)
combinations = 76023224077694604844267036884498328958811481548795886956000

let permutations = perm(1000, 969)
permutations = 48935322338186189966677615285264341307180008233417452886421014800950224875798629273926474557369035547211608939952425271857427907004912931382799980022535452823312144836508204188170562716219897527182757583012458103224469238431017264361357084179542551077339421218458525552210108412655253787858136317956338985503569604861639899701375118833411302155834718351270828287035400491383900493509499569168658161030348473708836044022937712580718634122326391120676298445158652944658449416153349920876602658760327928712841524541385291103617324363995364258875104593688468122090426867620668347962556488927982208536582639896200845855316536558023419168588932089763266007161186460812895165172222679328450735400027239293877695823413549738647246493410762890027858462874704445249505066856869158499901313801901794502504723615154109215428770227142898548411560306800701245360319610995782542728449804204425224900432803335713216610535443069526664397910819420296727391485660367677390609552098469805487995593855202735055224825799441869393117501033477508656170735343719235877766454673978280218812457637409594643934896448323038418194453204867489293698469149128577156374321013443310588967727652631387253936678004973103562714936132170761327107457911224297737840734888430796837809293767771189645281284263896331364944569254604339636706219595567045351283162761038686472674861442149619773743631737332109187120268922583036351767801107619263151558668321857486766620956921907456537417653856615083500356414390187097277419506999359315073694959823940713086453121285609743159030742719230270447287701392999208349056164483814630837742061990086746976557389586277861847668106772171150342474311451036661958197415704018677687188960376326732499270448198456552100604403852921697064424469405220701806194938420802201228657655411564226071892658400557397747212683882156188289009011021109998569430007126733885336598000799364737831050436837847478136562462851361574908821992088989991543967878103201480422357083732815018107934471809944740913159057087257139704509658342961719342049479649453934358082983195657763260664269985623046548957257032904564935980463560696215026021182421434772003716535651452340247847865573980699543205268737090407337836401364575647481349938920034362250943586347426438597011699691456364487594862697358331692914687612436827219584614400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000</samp></pre>
permutations = 48935322338186189966677615285264341307180008233417452886421014800950224875798629273926474557369035547211608939952425271857427907004912931382799980022535452823312144836508204188170562716219897527182757583012458103224469238431017264361357084179542551077339421218458525552210108412655253787858136317956338985503569604861639899701375118833411302155834718351270828287035400491383900493509499569168658161030348473708836044022937712580718634122326391120676298445158652944658449416153349920876602658760327928712841524541385291103617324363995364258875104593688468122090426867620668347962556488927982208536582639896200845855316536558023419168588932089763266007161186460812895165172222679328450735400027239293877695823413549738647246493410762890027858462874704445249505066856869158499901313801901794502504723615154109215428770227142898548411560306800701245360319610995782542728449804204425224900432803335713216610535443069526664397910819420296727391485660367677390609552098469805487995593855202735055224825799441869393117501033477508656170735343719235877766454673978280218812457637409594643934896448323038418194453204867489293698469149128577156374321013443310588967727652631387253936678004973103562714936132170761327107457911224297737840734888430796837809293767771189645281284263896331364944569254604339636706219595567045351283162761038686472674861442149619773743631737332109187120268922583036351767801107619263151558668321857486766620956921907456537417653856615083500356414390187097277419506999359315073694959823940713086453121285609743159030742719230270447287701392999208349056164483814630837742061990086746976557389586277861847668106772171150342474311451036661958197415704018677687188960376326732499270448198456552100604403852921697064424469405220701806194938420802201228657655411564226071892658400557397747212683882156188289009011021109998569430007126733885336598000799364737831050436837847478136562462851361574908821992088989991543967878103201480422357083732815018107934471809944740913159057087257139704509658342961719342049479649453934358082983195657763260664269985623046548957257032904564935980463560696215026021182421434772003716535651452340247847865573980699543205268737090407337836401364575647481349938920034362250943586347426438597011699691456364487594862697358331692914687612436827219584614400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
</samp></pre>
<p><code>combinations</code> has 59 digits<br />
<code>permutations</code> has 2534 digits</p>

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<pre><code class="nim hljs"><span class="hljs-keyword">import</span> nimib, strformat
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nbDoc.useLatex
nbText <span class="hljs-string">&quot;&quot;&quot;
# Bigints Examples
see &lt;https://github.com/def-/nim-bigints/tree/master/examples&gt;&quot;&quot;&quot;</span>
Expand Down Expand Up @@ -121,8 +155,7 @@ <h3>Combinations and permutations</h3>

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2 changes: 1 addition & 1 deletion drafts/bigints_examples.nim
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import nimib, strformat
# add timings
nbInit
nbUseLatex
nbDoc.useLatex
nbText """
# Bigints Examples
see <https://github.com/def-/nim-bigints/tree/master/examples>"""
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}
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Expand Down Expand Up @@ -66,14 +67,14 @@ <h3>A random 8-color palette with <a href="https://github.com/treeform/pixie">pi

<pre><code class="nim hljs"><span class="hljs-keyword">for</span> c <span class="hljs-keyword">in</span> palette:
<span class="hljs-keyword">echo</span> $c</code></pre>
<pre><samp>(r: 205, g: 37, b: 190)
(r: 153, g: 186, b: 60)
(r: 88, g: 222, b: 235)
(r: 81, g: 11, b: 201)
(r: 202, g: 49, b: 191)
(r: 250, g: 208, b: 166)
(r: 9, g: 131, b: 194)
(r: 169, g: 87, b: 28)
<pre><samp>(r: 125, g: 26, b: 117)
(r: 34, g: 242, b: 91)
(r: 145, g: 172, b: 22)
(r: 136, g: 24, b: 98)
(r: 221, g: 76, b: 184)
(r: 210, g: 74, b: 192)
(r: 208, g: 112, b: 224)
(r: 20, g: 96, b: 235)
</samp></pre>

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