possible Bug plotting discontinuous function

[azev77]

using Plots;
grid= 0.0:0.0001:1.0
g(x)= (x<0.5) ? (x) : (x-0.5)
plot(grid, g)

The weird looking vertical line at 3.41842 should not be there.
How can I remove it?
I'm hoping for some kind of option to omit singularities.
scatter() looks way too weird.

[azev77]

See:
https://discourse.julialang.org/t/plots-weird-problem-at-singularity-plotting-a-piecewise-function/102811

[azev77]

Instead of a bug, this is a Feature Request to create an option to fixdiscontinuity

[BeastyBlacksmith]

It is a bit unclear, what should happen here and how. If you know the point of discontinuity, just plot it separately like:

using Plots;
g(x)= (x<0.5) ? (x) : (x-0.5)
plot(g, 0, 0.499)
plot!(g, 0.5, 1, primary = false)

Otherwise I am not exactly sure how one would detect discontinuities to account for them.

[azev77]

Mathematica plots discontinuity correctly

[azev77]

In my case I didn’t know the function would be discontinuous or at what points

[BeastyBlacksmith]

Mathematica plots discontinuity correctly

Fine, but it doesn't tell us how. And in that example it can know from the explicit PiecewiseFunction where the discontinuities are