quatint 0.0.2

A quatint class, for using quaternions backed by integers and half-integers (Hurwitz integers).

This package provides a hurwitzint class for dealing with Hurwitz integers.

Float operations are avoided by this package for infinite precision. To input half-integers with infinite precision, use the half argument as so:

from quatint import hurwitzint

a = hurwitzint(3, 5, 7, 11)

print(a)  # Outputs "3+5i+7j+11k"

Examples

from quatint import hurwitzint

a = hurwitzint(1, 2, 3, 4)
b = hurwitzint(2, 3, 4, 5)

c = a * b
print(c)  # Outputs "-36+6i+12j+12k"

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 quatint import hurwitzint

a = hurwitzint(1, 2, 3, 4)

print(a / 3)  # Outputs "i+j+k"
print(a / 3.5)  # Outputs "i+j+k"

print(a + 1)  # Outputs "2+2i+3j+4k"
print(a + 1.5)  # Outputs "2+2i+3j+4k"