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Pseudogaussian numbers are implemented like pseudocomplex numbers. They are based on GMP-MPZ which must be available therefore.
Like pseudocomplex numbers, pseudogaussians are gratis whenever GMP-MPZ is provided on a system. They are contained and maintained within the SXEmacs source distribution and hence inherit the licence of SXEmacs.
The representation of Gaussian numbers within SXEmacs follows the one usually used in algebra, namely as the ring of integers of Q+Qi. Gaussian numbers may thusly be written like complex ones, ‘a+bi’, where ‘a’ and ‘b’ are both rational integers.