Climate: Smart Thermostat with auto Heat/Cool mode, PID control and PWM

this look interesting,

i have a house with mixed radiators and under floor heating and the overshot and undershot is big

currently i have a automation that takes input from temp sensors and commands the heatpump one degree up or down if any room is above or below my set points, i have put in some tolerance in the set points so it does not command it up and down all the time. then every 10 min it checks if a room is to cold, if so it commands up ½ degree, then also every 10 min but offset 5 min it checks if to hot and commands down ½ degree

since the underfloor heating is so slow it will greatly overshoot, but then the underfloor gets to cold and yeah it repeats

could any tell me how they figure the pid values?
and how they actually installed this? i get how to get it via hacs etc, but any files that needs edit and which ones?

EDIT:

i have been thinking… my heat pump is a bit strange, it has kind of an artificial temp you set, it goes from 5C to 30C… it has nothing to do with actual room temp

i wonder if this integration would work with this or would it just send out a desired temp to the heat pump?

EDIT2:

think i solved my problem the low tech way, i placed the tempsensor for the bath room on the floor and gave it a very narrow band of adjusting the heat pump

crank up the heatpump at 21.3 and downif above 21.5, the command to the heat pump does not change much anymore