GIrem computes the Gaussian integer remainder of m divided by n.  If the third argument is present, it is assigned the quotient. Likewise, GIquo computes the integer quotient of m divided by n; and if the third argument is present, assigns it the remainder. In special cases when there is more than one possible value for the quotient, the one with the smallest norm is chosen.

$\mathrm{with}\left(\mathrm{GaussInt}\right)\:$

$\mathrm{GIquo}\left(6+12\mathrm{I}\,-8+4\mathrm{I}\,'r'\right)$

$\mathrm{-I}$

$r$

$2+4\mathrm{I}$

$\mathrm{GIrem}\left(6+12\mathrm{I}\,-8+4\mathrm{I}\,'q'\right)$

$2+4\mathrm{I}$

$q$

$\mathrm{-I}$

$\mathrm{GIquo}\left(-19+33\mathrm{I}\,6+14\mathrm{I}\,'r'\right)$

$1+2\mathrm{I}$

$r$

$3+7\mathrm{I}$

$\mathrm{GIrem}\left(-19+33\mathrm{I}\,6+14\mathrm{I}\,'q'\right)$

$3+7\mathrm{I}$

$q$

$1+2\mathrm{I}$