# 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.