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diff mayachemtools/docs/modules/man3/MathUtil.3 @ 0:73ae111cf86f draft
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author | deepakjadmin |
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date | Wed, 20 Jan 2016 11:55:01 -0500 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/mayachemtools/docs/modules/man3/MathUtil.3 Wed Jan 20 11:55:01 2016 -0500 @@ -0,0 +1,293 @@ +.\" Automatically generated by Pod::Man 2.25 (Pod::Simple 3.22) +.\" +.\" Standard preamble: +.\" ======================================================================== +.de Sp \" Vertical space (when we can't use .PP) +.if t .sp .5v +.if n .sp +.. +.de Vb \" Begin verbatim text +.ft CW +.nf +.ne \\$1 +.. +.de Ve \" End verbatim text +.ft R +.fi +.. +.\" Set up some character translations and predefined strings. \*(-- will +.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left +.\" double quote, and \*(R" will give a right double quote. \*(C+ will +.\" give a nicer C++. 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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.