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Demonstrating and showing pupils and students one application of Mathematics.



Versions on Hashes Algorithm in Perl




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Algorithm by: Educator usingMaths

Our Hash code in Perl.


Hash Class File:

package HASHES;

BEGIN {
    require Exporter;

    # for the sake of standard
    our $VERSION = 2017.10;

    # Inherit from exporter to export functions and variables
    our @ISA = qw(Exporter);

    # Functions and variables to be exported by default
    our @EXPORT_OK = qw(encodeWord);
}

use warnings;
use strict;
use bigint;

# simulate an object construct
sub new {
    my $self = shift;
    
    my $this = {};
    bless $this$self;
    
    return $this;
}

sub hashWord {
    shift;
    my $msg = shift;
    # encoding eqn { Tn = (n-2)t1 + 2^n } - please use your own eqn
    my $hashed;
    my $n;
    my $t1;
    my $x;
    for (0 .. $#{$msg}) {
        # get unicode of this character as n
        $n = ord($msg->[$_]);
        $t1 = $_ + 1;
            # use recurrence series equation to hash
            $x = ($n - 2) * $t1 + 2**$n;
            if ($_ == 0) {
                $hashed = $x;
                next;
            }
            # bitwise rotate left with the modulo of x
            my $binary = substr ($hashed->as_bin(), 2); # remove binary designator('0b')
            $x %= length $binary;

            my @slice_1 = split (//, substr($binary$x));
            # keep as '1' to preserve hash size
            $slice_1[0] = "1";

            my $slice_2 = substr ($binary0$x);

            $hashed = join(""@slice_1) . $slice_2;
            $hashed = Math::BigInt->from_bin($hashed);
    }
    $hashed = substr ($hashed->as_hex(), 2); # remove hex designator('0x')
    $hashed = uc $hashed;

    return $hashed;
}

1;


Main Class:

#!/usr/bin/perl;

use strict;
use warnings;

use HASHES;

my @message = split(//, "merry xmas");

my $one_way = HASHES->new();
my $hashed = $one_way->hashWord(\@message);

print("Message is '", join("", @message), "';\nMessage hash is "$hashed);

print "\n\n";


Try it out!

Ownership (1) Simplicity (0.0) Elegance (0.0)
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colormap #003366 #336699 #3366CC #003399 #000099 #0000CC #000066 #006666 #006699 #0099CC #0066CC #0033CC #0000FF #3333FF #333399 #669999 #009999 #33CCCC #00CCFF #0099FF #0066FF #3366FF #3333CC #666699 #339966 #00CC99 #00FFCC #00FFFF #33CCFF #3399FF #6699FF #6666FF #6600FF #6600CC #339933 #00CC66 #00FF99 #66FFCC #66FFFF #66CCFF #99CCFF #9999FF #9966FF #9933FF #9900FF #006600 #00CC00 #00FF00 #66FF99 #99FFCC #CCFFFF #CCCCFF #CC99FF #CC66FF #CC33FF #CC00FF #9900CC #003300 #009933 #33CC33 #66FF66 #99FF99 #CCFFCC #FFFFFF #FFCCFF #FF99FF #FF66FF #FF00FF #CC00CC #660066 #336600 #009900 #66FF33 #99FF66 #CCFF99 #FFFFCC #FFCCCC #FF99CC #FF66CC #FF33CC #CC0099 #993399 #333300 #669900 #99FF33 #CCFF66 #FFFF99 #FFCC99 #FF9999 #FF6699 #FF3399 #CC3399 #990099 #666633 #99CC00 #CCFF33 #FFFF66 #FFCC66 #FF9966 #FF6666 #FF0066 #CC6699 #993366 #999966 #CCCC00 #FFFF00 #FFCC00 #FF9933 #FF6600 #FF5050 #CC0066 #660033 #996633 #CC9900 #FF9900 #CC6600 #FF3300 #FF0000 #CC0000 #990033 #663300 #996600 #CC3300 #993300 #990000 #800000 #993333
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