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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/mayachemtools/docs/modules/html/MathUtil.html Wed Jan 20 11:55:01 2016 -0500 @@ -0,0 +1,175 @@ +<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"> +</head> +<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> <a href="./index.html" title="Table of Contents">TOC</a> <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> | <a href="./../pdf/MathUtil.pdf" title="PDF US Letter Size">PDF</a> | <a href="./../pdfgreen/MathUtil.pdf" title="PDF US Letter Size with narrow margins: www.changethemargins.com">PDFGreen</a> | <a href="./../pdfa4/MathUtil.pdf" title="PDF A4 Size">PDFA4</a> | <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 <random> 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>, <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> </p><p> </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> <a href="./index.html" title="Table of Contents">TOC</a> <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>