diff mayachemtools/docs/modules/man3/MathUtil.3 @ 0:73ae111cf86f draft

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author deepakjadmin
date Wed, 20 Jan 2016 11:55:01 -0500
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+.\" ========================================================================
+.\"
+.IX Title "MATHUTIL 1"
+.TH MATHUTIL 1 "2015-03-29" "perl v5.14.2" "MayaChemTools"
+.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
+.\" way too many mistakes in technical documents.
+.if n .ad l
+.nh
+.SH "NAME"
+MathUtil
+.SH "SYNOPSIS"
+.IX Header "SYNOPSIS"
+use MathUtil;
+.PP
+use MathUtil qw(:all);
+.SH "DESCRIPTION"
+.IX Header "DESCRIPTION"
+\&\fBMathUtil\fR 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.
+.PP
+\&\fBMathUtil\fR module provides the following functions:
+.PP
+GeneratePrimeNumbersUpToCount, GeneratePrimeNumbersUpToLimit, acos, asin, ceil,
+floor, log10, max, min, random, round, srandom, tan
+.SS "\s-1FUNCTIONS\s0"
+.IX Subsection "FUNCTIONS"
+.IP "\fBGeneratePrimeNumbersUpToCount\fR" 4
+.IX Item "GeneratePrimeNumbersUpToCount"
+.Vb 2
+\&    $PrimesRef = GeneratePrimeNumbersUpToCount();
+\&    $PrimesRef = GeneratePrimeNumbersUpToCount($Count);
+.Ve
+.Sp
+Generate prime numbers up to specified \fICount\fR of prime numbers and return a
+reference to an array containing the prime numbers.
+.Sp
+By default, the first 1000 prime numbers are generated. The 1000th prime
+number is 7919.
+.Sp
+The algorithm to generate prime numbers is a modification of  Sieve of Erastothenes
+prime number generator.
+.IP "\fBGeneratePrimeNumbersUpToLimit\fR" 4
+.IX Item "GeneratePrimeNumbersUpToLimit"
+.Vb 2
+\&    $PrimesRef = GeneratePrimeNumbersUpToLimit();
+\&    $PrimesRef = GeneratePrimeNumbersUpToLimit($Limit);
+.Ve
+.Sp
+Generate prime numbers up to a specified \fILimit\fR and return a reference to an
+array containing the prime numbers.
+.Sp
+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.
+.Sp
+The algorithm to generate prime numbers is a modification of  Sieve of Erastothenes
+prime number generator.
+.IP "\fBacos\fR" 4
+.IX Item "acos"
+.Vb 1
+\&    $Value = acos($AngleInRadians);
+.Ve
+.Sp
+Returns the nverse cosine of an angle expressed in \fIRadians\fR using Math::Trig::acos
+function.
+.IP "\fBasin\fR" 4
+.IX Item "asin"
+.Vb 1
+\&    $Value = asin($AngleInRadians);
+.Ve
+.Sp
+Returns the inverse sine of an angle expressed in \fIRadians\fR using Math::Trig::asin
+function.
+.IP "\fBceil\fR" 4
+.IX Item "ceil"
+.Vb 1
+\&    $IntegerValue = ceil($Value);
+.Ve
+.Sp
+Returns the next largest integer for \fIValue\fR using POSIX::ceil function.
+.IP "\fBfloor\fR" 4
+.IX Item "floor"
+.Vb 1
+\&    $IntegerValue = floor($Value);
+.Ve
+.Sp
+Returns the previous smallest integer for \fIValue\fR using POSIX::floor function.
+.IP "\fBlog10\fR" 4
+.IX Item "log10"
+.Vb 1
+\&    $Log10Value = log10($Value);
+.Ve
+.Sp
+Returns the log of \fIValue\fR using base 10.
+.IP "\fBmax\fR" 4
+.IX Item "max"
+.Vb 1
+\&    $Number = max($Number1, $Number2);
+.Ve
+.Sp
+Returns a \fBNumber\fR corresponding to the maximum of \fINumber1\fR and \fINumber2\fR.
+.IP "\fBmin\fR" 4
+.IX Item "min"
+.Vb 1
+\&    $Number = min($Number1, $Number2);
+.Ve
+.Sp
+Returns a \fBNumber\fR corresponding to the minimum of \fINumber1\fR and \fINumber2\fR.
+.IP "\fBround\fR" 4
+.IX Item "round"
+.Vb 2
+\&    $RoundedValue = round($Number);
+\&    $RoundedValue = round($Number, $DecimalPlaces);
+.Ve
+.Sp
+Returns a value corresponding to a nearst ingeter for \fINumber\fR or formatted to \fIDecimalPlaces\fR.
+.IP "\fBrandom\fR" 4
+.IX Item "random"
+.Vb 2
+\&    $RandomNumber = random();
+\&    $RandomNumber = random($Size);
+.Ve
+.Sp
+Returns a random number between 0 and less than 1 or specified size.
+.Sp
+The random number generator implemented in MayaChemTools is a variant of linear
+congruential generator (\s-1LCG\s0) as described by Miller et al. [ Ref 120 ]. It is
+also referred to as Lehmer random number generator or Park-Miller random number
+generator.
+.Sp
+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.
+.IP "\fBsrandom\fR" 4
+.IX Item "srandom"
+.Vb 1
+\&    $Seed = srandom($Seed);
+.Ve
+.Sp
+Sets random number seed to be used by <random> function and returns seed value.
+.Sp
+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.
+.Sp
+The default seed is set to 123456789.
+.IP "\fBtan\fR" 4
+.IX Item "tan"
+.Vb 1
+\&    $Value = tan($AngleInRadians);
+.Ve
+.Sp
+Returns the tangent of an angle expressed in \fIRadians\fR.
+.SH "AUTHOR"
+.IX Header "AUTHOR"
+Manish Sud <msud@san.rr.com>
+.SH "SEE ALSO"
+.IX Header "SEE ALSO"
+Constants.pm, ConversionsUtil.pm
+.SH "COPYRIGHT"
+.IX Header "COPYRIGHT"
+Copyright (C) 2015 Manish Sud. All rights reserved.
+.PP
+This file is part of MayaChemTools.
+.PP
+MayaChemTools is free software; you can redistribute it and/or modify it under
+the terms of the \s-1GNU\s0 Lesser General Public License as published by the Free
+Software Foundation; either version 3 of the License, or (at your option)
+any later version.