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Math-Cephes-0.5307
River stage two • 11 direct dependents • 18 total dependents
/ Math::Cephes::Fraction

NAME


            

              
              
Math::Cephes::Fraction - Perl interface to the cephes math fraction routines

SYNOPSIS


            

              
              
use Math::Cephes::Fraction qw(fract);
my $f1 = fract(2,3);          # $f1 = 2/3
my $f2 = fract(3,4);          # $f2 = 3/4
my $f3 = $f1->radd($f2);      # $f3 = $f1 + $f2

DESCRIPTION

This module is a layer on top of the basic routines in the cephes math library to handle fractions. A fraction object is created via any of the following syntaxes:


            

              
              
my $f = Math::Cephes::Fraction->new(3, 2);  # $f = 3/2
my $g = new Math::Cephes::Fraction(5, 3);   # $g = 5/3
my $h = fract(7, 5);                        # $h = 7/5

the last one being available by importing :fract. If no arguments are specified, as in


            

              
              
my $h = fract();

then the defaults $z = 0/1 are assumed. The numerator and denominator of a fraction are represented respectively by


            

              
              
$f->{n}; $f->{d}

or, as methods,


            

              
              
$f->n;  $f->d;

and can be set according to


            

              
              
$f->{n} = 4; $f->{d} = 9;

or, again, as methods,


            

              
              
$f->n(4)  ; $f->(d) = 9;

The fraction can be printed out as


            

              
              
print $f->as_string;

or as a mixed fraction as


            

              
              
print $f->as_mixed_string;

These routines reduce the fraction to its basic form before printing. This uses the euclid routine which finds the greatest common divisor of two numbers, as follows:


            

              
              
($gcd, $m_reduced, $n_reduced) = euclid($m, $n);

which returns the greatest common divisor of $m and $n, as well as the result of reducing $m and $n by $gcd

A summary of the basic routines is as follows.


            

              
              
$x = fract(3, 4);        #  x = 3 / 4
$y = fract(2, 3);       #  y = 2 / 3
$z = $x->radd( $y );    #  z = x + y
$z = $x->rsub( $y );    #  z = x - y
$z = $x->rmul( $y );    #  z = x * y
$z = $x->rdiv( $y );    #  z = x / y
print $z->{n}, ' ', $z->{d};  # prints numerator and denominator of $z
print $z->as_string;         # prints the fraction $z
print $z->as_mixed_string;   # converts $z to a mixed fraction, then prints it
$m = 60;
$n = 144;
($gcd, $m_reduced, $n_reduced) = euclid($m, $n);

BUGS

Please report any to Randy Kobes <randy@theoryx5.uwinnipeg.ca>

SEE ALSO

For the basic interface to the cephes fraction routines, see Math::Cephes. See also Math::Fraction for a more extensive interface to fraction routines.

COPYRIGHT

The C code for the Cephes Math Library is Copyright 1984, 1987, 1989, 2002 by Stephen L. Moshier, and is available at http://www.netlib.org/cephes/. Direct inquiries to 30 Frost Street, Cambridge, MA 02140.

The perl interface is copyright 2000, 2002 by Randy Kobes. This library is free software; you can redistribute it and/or modify it under the same terms as Perl itself.