---
name: "Math::Cephes::Fraction"
section: "3pm"
platform: "linux"
package: "libmath-cephes-perl"
version: "0.5307-1"
release: "Debian 13 (Trixie)"
platforms: ["linux"]
url: "https://new.carta.tech/Math::Cephes::Fraction"
---

# Math::Cephes::Fraction(3pm)

## 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.