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	<title>CodeMocha &#187; fibonacci</title>
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		<title>Recursive Fibonacci</title>
		<link>http://codemocha.com/2009/07/recursive-fibonacci/?utm_source=rss&#038;utm_medium=rss&#038;utm_campaign=recursive-fibonacci</link>
		<comments>http://codemocha.com/2009/07/recursive-fibonacci/#comments</comments>
		<pubDate>Sat, 04 Jul 2009 03:40:28 +0000</pubDate>
		<dc:creator>Chet</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[Code]]></category>
		<category><![CDATA[college]]></category>
		<category><![CDATA[fibonacci]]></category>
		<category><![CDATA[ml]]></category>
		<category><![CDATA[recusion]]></category>

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		<description><![CDATA[Here are two recursive fibonacci functions in ML I did for CS243. Can you tell which one is more efficient? 123456789101112fun fibonacci&#40;n&#41; = &#160; let &#160; &#160; &#160; fun fib&#40;&#40;a, b&#41;, i&#41;= &#160; &#160; &#160; if i=0 then b &#160; &#160; &#160; &#160; else fib&#40;&#40;b, a + b&#41;, i-1&#41;; &#160; &#160; &#160; &#160; &#160; &#160;in [...]]]></description>
			<content:encoded><![CDATA[<p>Here are two recursive fibonacci functions in ML I did for CS243.  Can you tell which one is more efficient?<span id="more-7"></span></p>
<div class="codecolorer-container ocaml vibrant" style="overflow:auto;white-space:nowrap;border:1px solid #9F9F9F;width:435px;"><table cellspacing="0" cellpadding="0"><tbody><tr><td style="padding:5px;text-align:center;color:#888888;background-color:#EEEEEE;border-right: 1px solid #9F9F9F;font: normal 12px/1.4em Monaco, Lucida Console, monospace;"><div>1<br />2<br />3<br />4<br />5<br />6<br />7<br />8<br />9<br />10<br />11<br />12<br /></div></td><td><div class="ocaml codecolorer" style="padding:5px;font:normal 12px/1.4em Monaco, Lucida Console, monospace;white-space:nowrap"><span style="color: #06c; font-weight: bold;">fun</span> fibonacci<span style="color: #a52a2a;">&#40;</span>n<span style="color: #a52a2a;">&#41;</span> <span style="color: #a52a2a;">=</span> <br />
&nbsp; <span style="color: #06c; font-weight: bold;">let</span><br />
&nbsp; &nbsp; &nbsp; <span style="color: #06c; font-weight: bold;">fun</span> fib<span style="color: #a52a2a;">&#40;</span><span style="color: #a52a2a;">&#40;</span>a, b<span style="color: #a52a2a;">&#41;</span>, i<span style="color: #a52a2a;">&#41;</span><span style="color: #a52a2a;">=</span> &nbsp;<br />
&nbsp; &nbsp; <span style="color: #06c; font-weight: bold;">if</span> i<span style="color: #a52a2a;">=</span><span style="color: #c6c;">0</span> <span style="color: #06c; font-weight: bold;">then</span> b<br />
&nbsp; &nbsp; &nbsp; &nbsp; <span style="color: #06c; font-weight: bold;">else</span> fib<span style="color: #a52a2a;">&#40;</span><span style="color: #a52a2a;">&#40;</span>b, a <span style="color: #a52a2a;">+</span> b<span style="color: #a52a2a;">&#41;</span>, i<span style="color: #a52a2a;">-</span><span style="color: #c6c;">1</span><span style="color: #a52a2a;">&#41;</span><span style="color: #a52a2a;">;</span><br />
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span style="color: #06c; font-weight: bold;">in</span><br />
&nbsp; fib<span style="color: #a52a2a;">&#40;</span><span style="color: #a52a2a;">&#40;</span><span style="color: #c6c;">0</span>, <span style="color: #c6c;">1</span><span style="color: #a52a2a;">&#41;</span>, n<span style="color: #a52a2a;">&#41;</span><br />
&nbsp; <span style="color: #06c; font-weight: bold;">end</span><span style="color: #a52a2a;">;</span><br />
<br />
<span style="color: #06c; font-weight: bold;">fun</span> fibonacci<span style="color: #a52a2a;">&#40;</span><span style="color: #c6c;">0</span><span style="color: #a52a2a;">&#41;</span> <span style="color: #a52a2a;">=</span> <span style="color: #c6c;">1</span><br />
&nbsp; <span style="color: #a52a2a;">|</span> fibonacci<span style="color: #a52a2a;">&#40;</span><span style="color: #c6c;">1</span><span style="color: #a52a2a;">&#41;</span> <span style="color: #a52a2a;">=</span> <span style="color: #c6c;">1</span><br />
&nbsp; <span style="color: #a52a2a;">|</span> fibonacci<span style="color: #a52a2a;">&#40;</span>n<span style="color: #a52a2a;">&#41;</span> <span style="color: #a52a2a;">=</span> fibonacci<span style="color: #a52a2a;">&#40;</span>n<span style="color: #a52a2a;">-</span><span style="color: #c6c;">1</span><span style="color: #a52a2a;">&#41;</span> <span style="color: #a52a2a;">+</span> fibonacci<span style="color: #a52a2a;">&#40;</span>n<span style="color: #a52a2a;">-</span><span style="color: #c6c;">2</span><span style="color: #a52a2a;">&#41;</span><span style="color: #a52a2a;">;</span></div></td></tr></tbody></table></div>
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