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

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

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);

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

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

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.