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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
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.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 <[e-mail]>
.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.