NAME
   Math::BaseCnv - fast functions to CoNVert between number Bases

VERSION
   This documentation refers to version 1.8.B59BrZX of Math::BaseCnv, which
   was released on Mon May 9 11:53:35:33 2011.

SYNOPSIS
     use Math::BaseCnv;

     # CoNVert     63 from base-10 (decimal) to base- 2 (binary )
     $binary_63  = cnv(     63, 10,  2 );
     # CoNVert 111111 from base- 2 (binary ) to base-16 (hex    )
     $hex_63     = cnv( 111111,  2, 16 );
     # CoNVert     3F from base-16 (hex    ) to base-10 (decimal)
     $decimal_63 = cnv(   '3F', 16, 10 );
     print "63 dec->bin $binary_63 bin->hex $hex_63 hex->dec $decimal_63\n";

DESCRIPTION
   BaseCnv provides a few simple functions for converting between arbitrary
   number bases. It is as fast as I currently know how to make it (of
   course relying only on the lovely Perl). If you would rather utilize an
   object syntax for number-base conversion, please see Ken Williams'
   <[email protected]> fine Math::BaseCalc module.

PURPOSE
   The reason I created BaseCnv was that I needed a simple way to convert
   quickly between the 3 number bases I use most (10, 16, && 64). It turned
   out that it was trivial to handle any arbitrary number base that is
   represented as characters. High-bit ASCII has proven somewhat
   problemmatic but at least BaseCnv can simply && realiably convert
   between any possible base between 2 && 64 (or 85). I'm happy with it &&
   employ b64() in places I probably shouldn't now =).

USAGE
 cnv($numb[,$from[,$tobs]])
   CoNVert the number contained in $numb from its current number base
   ($from) into the result number base ($tobs).

   When only $numb is provided as a parameter:

   If $numb only contains valid decimal (base 10) digits, it will be
   converted to hexadecimal (base 16).

   If $numb only contains valid hexadecimal (base 16) digits or begins with
   '0x', it will be it will be converted to decimal (base 10).

   When only $numb && $from are provided as parameters:

   cnv() assumes that $numb is already in decimal format && uses $from as
   the $tobs.

   When all three parameters are provided:

   The normal (&& most clear) usage of cnv() is to provide all three
   parameters where $numb is converted from $from base to $tobs.

   cnv() is the only function that is exported from a normal 'use
   Math::BaseCnv;' command. The other functions below can be imported to
   local namespaces explicitly or with the following tags:

     :all - every function described here
     :hex - only dec() && hex()
     :b64 - only b10() && b64() && b64sort() && cnv()
     :dig - only dig() && diginit()
     :sfc - only summ(), fact(), && choo()

 b10($b64n)
   A shortcut to convert the number given as a parameter ($b64n) from base
   64 to decimal (base 10).

 b64($b10n)
   A shortcut to convert the number given as a parameter ($b10n) from
   decimal (base 10) to base 64.

 b64sort(@b64s)
   A way to sort b64 strings as though they were decimal numbers.

 dec($b16n)
   A shortcut to convert the number given as a parameter ($b16n) from
   hexadecimal (base 16) to decimal (base 10).

 hex($b10n)
   A shortcut to convert the number given as a parameter ($b10n) from
   decimal (base 10) to hexadecimal (base 16).

   Please read the "NOTES" regarding hex().

 dig(\@newd)
   Assign the new digit character list to be used in place of the default
   one. dig() can also alternately accept a string name matching one of the
   following predefined digit sets:

     'bin' => ['0', '1']
     'oct' => ['0'..'7']
     'dec' => ['0'..'9']
     'hex' => ['0'..'9', 'a'..'f']
     'HEX' => ['0'..'9', 'A'..'F']
     'b62' => ['0'..'9', 'a'..'z', 'A'..'Z']
     'b64' => ['0'..'9', 'A'..'Z', 'a'..'z', '.', '_']
     'm64' => ['A'..'Z', 'a'..'z', '0'..'9', '+', '/'] # MIME::Base64
     'iru' => ['A'..'Z', 'a'..'z', '0'..'9', '[', ']'] # IRCu
     'url' => ['A'..'Z', 'a'..'z', '0'..'9', '-', '_'] # MIME::Base64::URLSafe
     'rex' => ['A'..'Z', 'a'..'z', '0'..'9', '!', '-'] # RegEx
     'id0' => ['A'..'Z', 'a'..'z', '0'..'9', '_', '-'] # ID 0
     'id1' => ['A'..'Z', 'a'..'z', '0'..'9', '.', '_'] # ID 1
     'xnt' => ['A'..'Z', 'a'..'z', '0'..'9', '.', '-'] # XML Nmtoken
     'xid' => ['A'..'Z', 'a'..'z', '0'..'9', '_', ':'] # XML ID Name
     'b85' => ['0'..'9', 'A'..'Z', 'a'..'z', '!', '#', # RFC 1924 for
               '$', '%', '&', '(', ')', '*', '+', '-', #   IPv6 addrs
               ';', '<', '=', '>', '?', '@', '^', '_', #   like in
               '`', '{', '|', '}', '~'               ] # Math::Base85

   If no \@newd list or digit set name is provided as a parameter, dig()
   returns the current character list. It's fine to have many more
   characters in your current digit set than will be used with your
   conversions (e.g., using dig('b64') works fine for any cnv() call with
   $from && $tobs params less than or equal to 64).

   An example of a \@newd parameter for a specified alternate digit set for
   base 9 conversions is:

     dig( [ qw( n a c h o z   y u m ) ] );

 diginit()
   Resets the used digit list to the initial default order of the
   predefined digit set: 'b64'. This is simply a shortcut for calling
   dig('b64') for reinitialization purposes.

 summ($numb)
   A simple function to calculate a memoized BigInt summation of $numb down
   to 1.

 fact($numb)
   A simple function to calculate a memoized BigInt factorial of $numb.

 choo($ennn, $emmm)
   A simple function to calculate a memoized BigInt function of $ennn
   choose $emmm.

NOTES
   The Perl builtin hex() function takes a hex string as a parameter &&
   returns the decimal value (FromBase = 16, ToBase = 10) but this notation
   seems counter-intuitive to me since a simple reading of the code
   suggests that a hex() function will turn your parameter into hexadecimal
   (i.e., It sounds like Perl's hex() will hexify your parameter but it
   does not.) so I've decided (maybe foolishly) to invert the notation for
   my similar functions since it makes more sense to me this way && will be
   easier to remember (I've had to lookup hex() in the Camel book many
   times already which was part of the impetus for this module... as well
   as the gut reaction that sprintf() is not a proper natural inverse
   function for hex()).

   This means that my b64() function takes a decimal number as a parameter
   && returns the base64 equivalent (FromBase = 10, ToBase = 64) && my
   b10() function takes a base64 number (string) && returns the decimal
   value (FromBase = 64, ToBase = 10). My hex() function overloads Perl's
   builtin version with this opposite behavior so my dec() function behaves
   like Perl's normal hex() function. I know it's confusing && maybe bad
   form of me to do this but I like it so much better this way that I'd
   rather go against the grain.

   Please think of my dec() && hex() functions as meaning decify && hexify.
   Also the pronunciation of dec() is 'dess' (!'deck' which would be the
   inverse of 'ink' which -- && ++ already do so well). After reading the
   informative Perl module etiquette guidelines, I now appreciate the need
   to export as little as is necessary by default. So to be responsible, I
   have limited BaseCnv exporting to only cnv() under normal circumstances.
   Please specify the other functions you'd like to import into your
   namespace or use the tags described above in the cnv() section like:

     'use Math::BaseCnv qw(:all !:hex);'

   Error checking is minimal.

   This module does not handle fractional number inputs because I like
   using the dot (.) character as a standard base64 digit since it makes
   for clean filenames.

   summ(), fact(), && choo() are general Math function utilities which are
   unrelated to number-base conversion but I didn't feel like making
   another separate module just for them so they snuck in here.

   I hope you find Math::BaseCnv useful. Please feel free to e-mail me any
   suggestions or coding tips or notes of appreciation
   ("app-ree-see-ay-shun"). Thank you. TTFN.

2DU
   - better error checking
   - handle fractional parts? umm but I like using '.' as a b64 char so ','
   comma or some other separator?
   - What else does BaseCnv need?

CHANGES
   Revision history for Perl extension Math::BaseCnv:

   - 1.8.B59BrZX Mon May 9 11:53:35:33 2011
     * updated 'url' digit set to URLSafe to resolve
     HTTPS://RT.CPAN.Org/Ticket/Display.html?id=60125

     * updated license copyright years (already had GPLv3)

   - 1.6.A6FGHKE Tue Jun 15 16:17:20:14 2010
     * bumped minor version number so they'll keep ascending (without PT
     comprehension)

   - 1.4.A6FAbEb Tue Jun 15 10:37:14:37 2010
     * added Math::BigInt code for >64-bit number-base conversions

     * added a bunch more DigitSets: IRCu, URL, RegEx, identifier variants,
     XML Nmtoken, && XML ID Name

   - 1.4.75O6Pbr Thu May 24 06:25:37:53 2007
     * added Test::Pod(::Coverage)? tests && PREREQ entries

     * added b85 for IPv6, gen'd META.yml (w/ newline before EOF), up'd
     minor ver

   - 1.2.68J9uJQ Sat Aug 19 09:56:19:26 2006
     * added b64sort() && put pod at bottom

   - 1.2.59M7mRX Thu Sep 22 07:48:27:33 2005
     * testing Make as primary and BuildPL backup (needing rename for dot)

   - 1.2.59IBlgw Sun Sep 18 11:47:42:58 2005
     * testing just using Module::Build instead of MakeMaker

     * fixed test 12 which was failing on AMD64

     * added Build.PL to pkg

   - 1.2.54HK3pB Sun Apr 17 20:03:51:11 2005
     * removed 128 digit-set since some hi-bit chars cause probs on Win32

     * made bin/cnv only executable to go in EXE_FILES

     * made Math::BaseCalc a link in pod && updated License

   - 1.2.45UC8fo Sun May 30 12:08:41:50 2004
     * tidied POD && upped minor version number since CPAN can't read PTVR

   - 1.0.44E9ljP Wed Apr 14 09:47:45:25 2004
     * added test for div-by-zero error in choo()

     * added summ()

   - 1.0.446EIbS Tue Apr 6 14:18:37:28 2004
     * snuck in fact() && choo()

   - 1.0.42REDir Fri Feb 27 14:13:44:53 2004
     * changed test.pl to hopefully pass MSWin32-x86-multi-thread

   - 1.0.428LV46 Sun Feb 8 21:31:04:06 2004
     * broke apart CHANGES to descend chronologically

     * made dec() auto uppercase param since dec(a) was returning 36
     instead of 10

   - 1.0.41M4GMP Thu Jan 22 04:16:22:25 2004
     * put cnv in bin/ as EXE_FILES

   - 1.0.418BEPc Thu Jan 8 11:14:25:38 2004
     * testing new e auto-gen MANIFEST(.SKIP)?

   - 1.0.3CNH37s Tue Dec 23 17:03:07:54 2003
     * updated POD

   - 1.0.3CG3dIx Tue Dec 16 03:39:18:59 2003
     * normalized base spelling

   - 1.0.3CD1Vdd Sat Dec 13 01:31:39:39 2003
     * added ABSTRACT section to WriteMakeFile()

     * changed synopsis example

     * updated all POD indenting

   - 1.0.3CCA5Mi Fri Dec 12 10:05:22:44 2003
     * removed indenting from POD NAME field

   - 1.0.3CB7M43 Thu Dec 11 07:22:04:03 2003
     * updated package to coincide with Time::Fields release

   - 1.0.39B36Lv Thu Sep 11 03:06:21:57 2003
     * synchronized POD with README documentation using new e utility

     * templatized package compilation

     * fixed boundary bugs

   - 1.0.37SLNGN Mon Jul 28 21:23:16:23 2003
     * first version (&& my first Perl module... yay!) put on CPAN

   - 1.0.37JKj3w Sat Jul 19 20:45:03:58 2003
     * reworked interface from shell utility to package

   - 1.0.3159mLT Sun Jan 5 09:48:21:29 2003
     * original version

INSTALL
   Please run:

     `perl -MCPAN -e "install Math::BaseCnv"`

   or uncompress the package && run:

     `perl Makefile.PL;       make;       make test;       make install`
       or if you don't have  `make` but Module::Build is installed
     `perl    Build.PL; perl Build; perl Build test; perl Build install`

LICENSE
   Most source code should be Free! Code I have lawful authority over is &&
   shall be! Copyright:(c) 2003-2011, Pip Stuart. Copyleft : This software
   is licensed under the GNU General Public License (version 3). Please
   consult the Free Software Foundation (HTTP://FSF.Org) for important
   information about your freedom.

AUTHOR
   Pip Stuart <[email protected]>