NAME
Math::MagicSquare - Magic Square Checker and Designer
SYNOPSIS
use Math::MagicSquare;
$a= Math::MagicSquare -> new ([num,...,num],
...,
[num,...,num]);
$a->print("string");
$a->printhtml();
$a->printimage();
$a->check();
$a->rotation();
$a->reflection();
DESCRIPTION
The following methods are available:
new
Constructor arguments are a list of references to arrays of the same
length.
$a = Math::MagicSquare -> new ([num,...,num],
...,
[num,...,num]);
check
This function can return 4 value
* 0: the Square is not Magic
* 1: the Square is a Semimagic Square (the sum of the rows and the
columns is equal)
* 2: the Square is a Magic Square (the sum of the rows, the columns
and the diagonals is equal)
* 3: the Square ia Panmagic Square (the sum of the rows, the columns,
the diagonals and the broken diagonals is equal)
print
Prints the Square on STDOUT. If the method has additional parameters,
these are printed before the Magic Square is printed.
printhtml
Prints the Square on STDOUT in an HTML format (exactly a inside a TABLE)
printimage
Prints the Square on STDOUT in png format.
rotation
Rotates the Magic Square of 90 degree clockwise
reflection
Reflect the Magic Square
REQUIRED
GD perl module.
EXAMPLE
use Math::MagicSquare;
$A = Math::MagicSquare -> new ([8,1,6],
[3,5,7],
[4,9,2]);
$A->print("Magic Square A:\n");
$A->printhtml;
$i=$A->check;
if($i == 2) {print "This is a Magic Square.\n";}
$A->rotation();
$A->print("Rotation:\n");
$A->reflection();
$A->print("Reflection:\n");
$A->printimage();
This is the output:
Magic Square A:
8 1 6
3 5 7
4 9 2
This is a Magic Square.
Rotation:
4 3 8
9 5 1
2 7 6
Reflection:
8 3 4
1 5 9
6 7 2
AUTHOR
Fabrizio Pivari fabrizio@pivari.com
http://www.pivari.com/
Copyright
Copyright 2003, Fabrizio Pivari fabrizio@pivari.com
This library is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.
Are you interested in a Windows cgi distribution?
Test http://www.pivari.com/squaremaker.html and contact me.
Availability
The latest version of this library is likely to be available from:
http://www.pivari.com/magicsquare.html
and at any CPAN mirror
Information about Magic Square
Do you like Magic Square?
Do you want to know more information about Magic Square?
Try to visit
A very good introduction on Magic Square
http://mathworld.wolfram.com/MagicSquare.html
Whole collections of links and documents in Internet
http://mathforum.org/alejandre/magic.square.html
http://mathforum.org/te/exchange/hosted/suzuki/MagicSquare.html
A good collection of strange Magic Square
http://www.geocities.com/pivari/examples.html