A special rule is applied to the integer complex versions of the threshold functions. In general, the resulting point coordinates at the complex plane are not integer. The function rounds them off to integer in such a way that the threshold operation is not performed. Thus, for the “less than” operation (the
function) the coordinates are rounded to the infinity (
for positive coordinates, and
for negative), and for the “greater than” operation (the
function) the coordinates are rounded to 0.