Is there a precision command for movements?

I am running EMC2 on a laser machine. Previously, with the 30 year old Bosch Controller, it worked perfectly. It went exactly where the program code said.
Now, it rounds up. The faster it works, the more it rounds up. And it even shows on the monitor that it doesn't follow the program code.
Is there a way to force the software to avoid this?
It is absolutely not a machine problem. In the past, we ran the machine at 5 times the usual speed, and it moved exactly it should. Not it doesn't do it even at the normal speed.

I also checked: My NC Code header contains G61. I don't know if that is enough, and if I also need G61.1 and where.

Thanks in advance!

i would suggest you check you motor drivers ( again i presume it is using servo drives , but please correct if i am wrong ) and configuration of analog input drives and signal voltages , this type of problem suggests some miss tuning or follow error etc
you say it ' rounds up' can you give some specifics etc

even changing from your old controller to emc would require your origional drive input to be adjusted to match emc2

can you give some information on pc setup and how you interfaced to emc2
so the problem can be narrowed down for you

I had a Bosch Micro 8 controller on the laser machine. The servo drives are also Bosch.
I suspect that the Micro 8 had a specific parameter configuration on how to handle lines and arcs of different sizes.
I'll try to get information from the manufacturer, since the guys who installed EMC2 (with interface boards they developed) also are new to this situation.

If I still need help I will appear again.
Thanks a lot!

Dumb question:
I have G61 twice in my NC Code. Does the second one turn off the command? Because it really doesn't follow the programmed path and instead to make a corner of 90 degrees, it makes an arc at the end of one line, before it makes the following straight line.
Maybe I should delete one G91 and try what happens.

No.
G0 is used for fast moving. G1 for moving while a tool is on and for lines. G2 for arcs with tool on.
If I have a small square, it doesn't cut perfectly at 90 degrees. The difference is visible. At the end of a line, it doesn't go straight to the beginning of the next line, at the point that should be the corner. It makes a small arc. The real corner is outside of the figure it cuts and isn't touched by any line.
I see this one the screen too, but I do not understand, why it happens, if I have G61 at the beginning of the code.
Could it be that due to modifications made to EMC2 to work with our machine, it forgets about G61?
As I understand, G61 is mandatory and should create weird behavior in form of sudden stops.