F1 engines ARE warmed up on a computer program!!!!
Procedure (as far as I'm aware):
Plug in fuel chiller for fuel cell (if necessary)
Plug in water (no antifreeze), and engine oil heater/ circulator.
Plug in gearbox oil heater/circulator
Raise temperature of fluids to approx 80 deg C, and hold there on each to allow expansion to correct tolerances and heatsoak.
Pressurise compressed air tank ( for the pneumatic valves).
Insert starter, and crank engine (ignition off), to ensure oil, air pressures etc reach set levels, while computer cycles through software checks.
Re-crank with ignition on, start engine and idle.
From here the engine / chassis tech can choose different engine & gearbox warm up maps, which can do it all, or they can use a little joystick to manually manipulate things. .
Generally the engines revs will be raised/lowered, and blipped to put load into the engine, as well as keep the alternator charging, as its designed to work for longer periods at much higher RPMs.
A lot of the mild blipping ( and what sounds like a spark cutting out) is the gearbox being cycled up and down through the gears, to get that up to temperature. In our cars we used to drag the brake pedal a little, to load up the drivetrain. The techs may also check the pit limiter function etc, and other things I can only imagine!
While at idle & elevated RPM, a dipstick reading will be taken of the engine oil tank, and any oil added if required. The water header tank will also be checked and purged if required.
Generally temperatures will be taken just above operating temperature prior to shutdown, to allow heatsoak into the radiators, for when the cars are fired up in anger.
That's what I understand anyway.......
Those vidoes of the Honda guys... well I know they love revving them right up prior to shut off, as the Formula Nippon guys used to do this too. It's not necessary, it but it really doesn't hurt the engines, there are precision built, and only have short service lives anyway, unlike road cars and bikes. Also, I think they put on a bit of a show for the spectators.
As for idle, revving then idle, I don't know, but we all seem to do it! Must be in a racers' DNA!
As for running in the engines, its largely redundant, as they are built so precisely. On the dyno, I guess it wouldn't take any more than 10 minutes at moderate revs to seat the piston rings. A couple of power checks through the rev range at various loads, and it would be good to go I would think.