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+<html>
+<head>
+<title>MayaChemTools:Documentation:MathUtil.pm</title>
+<meta http-equiv="content-type" content="text/html;charset=utf-8">
+<link rel="stylesheet" type="text/css" href="../../css/MayaChemTools.css">
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+<body leftmargin="20" rightmargin="20" topmargin="10" bottommargin="10">
+<br/>
+<center>
+<a href="http://www.mayachemtools.org" title="MayaChemTools Home"><img src="../../images/MayaChemToolsLogo.gif" border="0" alt="MayaChemTools"></a>
+</center>
+<br/>
+<div class="DocNav">
+<table width="100%" border=0 cellpadding=0 cellspacing=2>
+<tr align="left" valign="top"><td width="33%" align="left"><a href="./HTMLUtil.html" title="HTMLUtil.html">Previous</a>&nbsp;&nbsp;<a href="./index.html" title="Table of Contents">TOC</a>&nbsp;&nbsp;<a href="./Matrix.html" title="Matrix.html">Next</a></td><td width="34%" align="middle"><strong>MathUtil.pm</strong></td><td width="33%" align="right"><a href="././code/MathUtil.html" title="View source code">Code</a>&nbsp;|&nbsp;<a href="./../pdf/MathUtil.pdf" title="PDF US Letter Size">PDF</a>&nbsp;|&nbsp;<a href="./../pdfgreen/MathUtil.pdf" title="PDF US Letter Size with narrow margins: www.changethemargins.com">PDFGreen</a>&nbsp;|&nbsp;<a href="./../pdfa4/MathUtil.pdf" title="PDF A4 Size">PDFA4</a>&nbsp;|&nbsp;<a href="./../pdfa4green/MathUtil.pdf" title="PDF A4 Size with narrow margins: www.changethemargins.com">PDFA4Green</a></td></tr>
+</table>
+</div>
+<p>
+</p>
+<h2>NAME</h2>
+<p>MathUtil</p>
+<p>
+</p>
+<h2>SYNOPSIS</h2>
+<p>use MathUtil;</p>
+<p>use MathUtil qw(:all);</p>
+<p>
+</p>
+<h2>DESCRIPTION</h2>
+<p><strong>MathUtil</strong> module provides a variety of common math functions not available in core
+Perl package or some other useful math utilities. In order to be consistent with other
+Perl functions, name of all the functions in this package are in lowercase which differs
+from MayaChemTools naming convention for function names.</p>
+<p><strong>MathUtil</strong> module provides the following functions:</p>
+<p> <a href="#generateprimenumbersuptocount">GeneratePrimeNumbersUpToCount</a>, <a href="#generateprimenumbersuptolimit">GeneratePrimeNumbersUpToLimit</a>, <a href="#acos">acos</a>, <a href="#asin">asin</a>, <a href="#ceil">ceil</a>
+, <a href="#floor">floor</a>, <a href="#log10">log10</a>, <a href="#max">max</a>, <a href="#min">min</a>, <a href="#random">random</a>, <a href="#round">round</a>, <a href="#srandom">srandom</a>, <a href="#tan">tan</a>
+</p><p>
+</p>
+<h2>FUNCTIONS</h2>
+<dl>
+<dt><strong><a name="generateprimenumbersuptocount" class="item"><strong>GeneratePrimeNumbersUpToCount</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $PrimesRef = GeneratePrimeNumbersUpToCount();
+<br/>    $PrimesRef = GeneratePrimeNumbersUpToCount($Count);</div>
+<p>Generate prime numbers up to specified <em>Count</em> of prime numbers and return a
+reference to an array containing the prime numbers.</p>
+<p>By default, the first 1000 prime numbers are generated. The 1000th prime
+number is 7919.</p>
+<p>The algorithm to generate prime numbers is a modification of  Sieve of Erastothenes
+prime number generator.</p>
+</dd>
+<dt><strong><a name="generateprimenumbersuptolimit" class="item"><strong>GeneratePrimeNumbersUpToLimit</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $PrimesRef = GeneratePrimeNumbersUpToLimit();
+<br/>    $PrimesRef = GeneratePrimeNumbersUpToLimit($Limit);</div>
+<p>Generate prime numbers up to a specified <em>Limit</em> and return a reference to an
+array containing the prime numbers.</p>
+<p>By default, the first 1000 prime numbers are generated. The 1000th prime
+number is 7919 and that's why default limit is set to 7920.</p>
+<p>The algorithm to generate prime numbers is a modification of  Sieve of Erastothenes
+prime number generator.</p>
+</dd>
+<dt><strong><a name="acos" class="item"><strong>acos</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $Value = acos($AngleInRadians);</div>
+<p>Returns the nverse cosine of an angle expressed in <em>Radians</em> using Math::Trig::acos
+function.</p>
+</dd>
+<dt><strong><a name="asin" class="item"><strong>asin</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $Value = asin($AngleInRadians);</div>
+<p>Returns the inverse sine of an angle expressed in <em>Radians</em> using Math::Trig::asin
+function.</p>
+</dd>
+<dt><strong><a name="ceil" class="item"><strong>ceil</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $IntegerValue = ceil($Value);</div>
+<p>Returns the next largest integer for <em>Value</em> using POSIX::ceil function.</p>
+</dd>
+<dt><strong><a name="floor" class="item"><strong>floor</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $IntegerValue = floor($Value);</div>
+<p>Returns the previous smallest integer for <em>Value</em> using POSIX::floor function.</p>
+</dd>
+<dt><strong><a name="log10" class="item"><strong>log10</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $Log10Value = log10($Value);</div>
+<p>Returns the log of <em>Value</em> using base 10.</p>
+</dd>
+<dt><strong><a name="max" class="item"><strong>max</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $Number = max($Number1, $Number2);</div>
+<p>Returns a <strong>Number</strong> corresponding to the maximum of <em>Number1</em> and <em>Number2</em>.</p>
+</dd>
+<dt><strong><a name="min" class="item"><strong>min</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $Number = min($Number1, $Number2);</div>
+<p>Returns a <strong>Number</strong> corresponding to the minimum of <em>Number1</em> and <em>Number2</em>.</p>
+</dd>
+<dt><strong><a name="round" class="item"><strong>round</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $RoundedValue = round($Number);
+<br/>    $RoundedValue = round($Number, $DecimalPlaces);</div>
+<p>Returns a value corresponding to a nearst ingeter for <em>Number</em> or formatted to <em>DecimalPlaces</em>.</p>
+</dd>
+<dt><strong><a name="random" class="item"><strong>random</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $RandomNumber = random();
+<br/>    $RandomNumber = random($Size);</div>
+<p>Returns a random number between 0 and less than 1 or specified size.</p>
+<p>The random number generator implemented in MayaChemTools is a variant of linear
+congruential generator (LCG) as described by Miller et al. [ Ref 120 ]. It is
+also referred to as Lehmer random number generator or Park-Miller random number
+generator.</p>
+<p>Unlike Perl's core random number generator function rand, the random number
+generator implemented in MayaChemTools generates consistent random values
+across different platforms - Windows, CygWin, Linux, Unix - for a specific random
+seed.</p>
+</dd>
+<dt><strong><a name="srandom" class="item"><strong>srandom</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $Seed = srandom($Seed);</div>
+<p>Sets random number seed to be used by &lt;random&gt; function and returns seed value.</p>
+<p>The random number seed is recommeded to be an integer between 1 and 2**31 - 2
+[Ref 120] which translates to be 1 and 2147483646.</p>
+<p>The default seed is set to 123456789.</p>
+</dd>
+<dt><strong><a name="tan" class="item"><strong>tan</strong></a></strong></dt>
+<dd>
+<div class="OptionsBox">
+    $Value = tan($AngleInRadians);</div>
+<p>Returns the tangent of an angle expressed in <em>Radians</em>.</p>
+</dd>
+</dl>
+<p>
+</p>
+<h2>AUTHOR</h2>
+<p><a href="mailto:msud@san.rr.com">Manish Sud</a></p>
+<p>
+</p>
+<h2>SEE ALSO</h2>
+<p><a href="./Constants.html">Constants.pm</a>,&nbsp<a href="./ConversionsUtil.html">ConversionsUtil.pm</a>
+</p>
+<p>
+</p>
+<h2>COPYRIGHT</h2>
+<p>Copyright (C) 2015 Manish Sud. All rights reserved.</p>
+<p>This file is part of MayaChemTools.</p>
+<p>MayaChemTools is free software; you can redistribute it and/or modify it under
+the terms of the GNU Lesser General Public License as published by the Free
+Software Foundation; either version 3 of the License, or (at your option)
+any later version.</p>
+<p>&nbsp</p><p>&nbsp</p><div class="DocNav">
+<table width="100%" border=0 cellpadding=0 cellspacing=2>
+<tr align="left" valign="top"><td width="33%" align="left"><a href="./HTMLUtil.html" title="HTMLUtil.html">Previous</a>&nbsp;&nbsp;<a href="./index.html" title="Table of Contents">TOC</a>&nbsp;&nbsp;<a href="./Matrix.html" title="Matrix.html">Next</a></td><td width="34%" align="middle"><strong>March 29, 2015</strong></td><td width="33%" align="right"><strong>MathUtil.pm</strong></td></tr>
+</table>
+</div>
+<br />
+<center>
+<img src="../../images/h2o2.png">
+</center>
+</body>
+</html>