Rounding issue

[Hachann]

Hello guys,

I did notice this weird behaviour when using Round :

Thank you, as always!

[JerryI]

I have a feeling, that this just shows machine input from (even tho it is rounded), while MMA hides an actual form until user clicks on the expression (then, it expands). WLJS does not alter basic numbers and leaves its input from, since it will be quite expensive in terms of handling the decorations and can seriously slow down the editor.

I don't have Mathematica license to check, but may be other people can confirm or correct me. :)

Here is a catch

[JerryI]

In general Wolfram Language takes care a lot about precision

but it it's undefined it returns machine accurate number. That you can use later without loosing the accuracy

[Hachann]

It's actually not easy to circumvent, I don't have alternatives I can exploit it seems :

For "reporting" display use-cases it's quite a bummer ^^

[JerryI]

Try this one

PS: I believe Round is not a good thing for your use-case, its more a mathematical thing rather visual

[Hachann]

Thank you, for reporting a value it's nice! Can't do further computation on this output but for a display purpose it's perfect ;)

If I want to be able to use the output as input for further computations I came up with :

ToExpression[StringTake[ToString@N[4.056008], {1, StringPosition[ToString@N[4.056008], "."][[1, 2]] + 2}]]

[Hachann]

Using Dataset it's a quite modern display :

[JerryI]

If I want to be able to use the output as input for further computations I came up with :

You can still use this output for the computations. If you copy the output from the cell to a regular editor you can find it keeps all digits :)

(*VB[*)(4.056545654)(*,*)(*"1:eJwljs0OwUAAhBtxEG/BqV0ikaiDxGG3UQkpsn9V4sBasunWtqiWJ/DYisuXb+Yy0zoYfKpZlnVrVpgc1d1cuZIFeVfRBghtgWMPen3HBt3KQLs/krOS0sCsSLKIoyk07jkgBQn5ch/nmbi4OIp1h/GUeqj0FcR8ltFQFR5LPbwuXcFSstGdoYi5Yon/JKHG4gUzJiaPYM4GPoRR4nMzbn/3dggB53+wXgHnWpLGV+T+uLzo56+l11x+AHOmOSk="*)(*]VB*)

yeah. this base64 is quite long. Probably because WL uses gzip to compress expressions, and here it is more like a disadvantage

[JerryI]

Using Dataset it's a quite modern display :

PS: Btw, feel free to share your creations with the community. We are currently building a collection of example and use cases. So that we can send it to universities and etc