GNU Info

(gnuplot.info)zero

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 The `zero` value is the default threshold for values approaching 0.0.

 Syntax:
       set zero <expression>
       show zero

 `gnuplot` (Note: gnuplot ) will not plot a point if its imaginary part is
 greater in magnitude than the `zero` threshold.  This threshold is also used
 in various other parts of `gnuplot` as a (crude) numerical-error
 threshold.  The default `zero` value is 1e-8.  `zero` values larger than 1e-3
 (the reciprocal of the number of pixels in a typical bitmap display) should
 probably be avoided, but it is not unreasonable to set `zero` to 0.0.