gaussian

[bobmath]

This module is called "AnyNum", but it doesn't support Gaussian integers and Gaussian rationals (complex numbers where the components are integers or rationals instead of floating point). This is a common oversight in mathematical software. https://en.wikipedia.org/wiki/Gaussian_integer

[trizen]

Good point. However, Math::AnyNum is just providing an interface to the GMP, MPFR and MPC libraries, where the complex-number library (MPC) is providing support only for floating-point complex numbers.

Implementing support for Gaussian integers is not planned in the near future, but it is an interesting idea. Alternatively, a separate CPAN module, using Math::AnyNum (or Math::GMPz / Math::GMPq directly), would also be a good idea.

[trizen]

I'm working on a new module, called Math::GComplex (contributions are very welcomed), which will try to provide a generic interface to complex-number operations, accepting any kind of numerical objects for the components of complex numbers (including Math::AnyNum objects).

Here is a code snippet:

use 5.010;
use Math::GComplex;
use Math::AnyNum qw(:overload);

my $x = Math::GComplex->new(3, 4);
my $y = Math::GComplex->new(7, 5);

say $x + $y;        #=> (10 9)
say $x - $y;        #=> (-4 -1)
say $x * $y;        #=> (1 43)
say $x / $y;        #=> (41/74 13/74)

Repository: https://github.com/trizen/Math-GComplex