quadint 0.0.1

A quadint class, for using quadratic integers.

This library provides a QuadInt class for dealing with Quadratic integers.

Additionally, a complexint class is provided by default where D == -1 obviously. This class acts just like Python's built-in complex except it is backed by Python integers instead of doubles. This allows for infinite precision.

Examples

from quadint import complexint

a = complexint(1, 2)
b = complexint(3, 6)

c = a * b
print(c)  # Outputs "-9+12j"

print(type(c.real))  # Outputs "int"

from quadint import make_quadint

Q2 = make_quadint(-2)

a = Q2(1, 2)
b = Q2(3, 6)

c = a * b
print(c)  # Outputs "(-21+12*sqrt(-2))"

Disclaimer

This is intended for use with discrete mathematics, and ideally will be limited to the operations: add, sub, mul, and pow.

Trying to divide using this class, or using floats with this class, will (probably) result in integer conversion cutoff.

As an example of this problem, note the equivalences below:

from quadint import complexint

a = complexint(3, 6)

print(a / 3)  # Outputs "(1+2j)
print(a / 3.5)  # Outputs "(1+2j)"

print(a + 1)  # Outputs "(4+6j)"
print(a + 1.5)  # Outputs "(4+6j)"