Math::MagicSquare: a CPAN perl module to check and design Magic Squares

version 2.04 12/13/2003

by Fabrizio Pivari© 2003 http://www.pivari.com/

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 
    <TABLE border=3 width="2" height="2" cellpadding=1 cellspacing=1>
    <TR>
    <TD align=right><FONT size=+2><B>8</B></font></TD>
    <TD align=right><FONT size=+2><B>1</B></font></TD>
    <TD align=right><FONT size=+2><B>6</B></font></TD>
    </TR>
    <TR>
    <TD align=right><FONT size=+2><B>3</B></font></TD>
    <TD align=right><FONT size=+2><B>5</B></font></TD>
    <TD align=right><FONT size=+2><B>7</B></font></TD>
    </TR>
    <TR>
    <TD align=right><FONT size=+2><B>4</B></font></TD>
    <TD align=right><FONT size=+2><B>9</B></font></TD>
    <TD align=right><FONT size=+2><B>2</B></font></TD>
    </TR>
    </TABLE>
    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/Math-MagicSquare.tar.gz
 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

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