Schneider Kreuznach Apo Componon HM 40mm F2.8 enlarging lens, the version with variable aperture (f2.8 –f16) (M39 with adapter to M42). Said to be very good for a wide range of magnifications, from 1:1.
Schneider Kreuznach-S Componon-S 50mm f2.8 (M39 with adapter to M42) I believe it to be optimised for 4x to 8x.
I was considering the need for a hood and remembered that I had a Bolex cine lens:
Kern Paillard Macro-Switar 1:1.3 12.5mm HB RX.
The hood for the above lens is for a filter thread of about 32mm. It (threaded end) fits fairly snugly in the back of either lens. It is slightly off-centre, due to the window which transmits light from an enlarger to illuminate the selected aperture, irrelevant for photographic use, being positioned on one side. This could be overcome by cutting a piece out of the hood thread but any vignetting should not be seen on my m4/3 sensor and I like the snug fit (to be improved slightly by wrapping some tape around the thread or, more likely, glued in place).
The following, hand-held, images were grabbed during brief spells of good light, as our wet weather continues.
This shows the back of the lens with the circular groove into which the hood fits. (The curved surface extending from about 5'oclock to about 6 o'clock, with a red dot on it, is the light transmision device):

A side view of the lens without the hood

With the hood

Whether the M39-M42 adapter is in place or not does not affect this modification and the protruding hood can be left in place when the lens is used in conventional orientation on some extension tubes (e.g. Olympus OM, M42 manual). It will also fit in the original box (blue hexagonal base & clear lid) with the hood in place (and a couple of step rings on the front of the lens)
If you possess such a lens (I don’t know how many other models this will work for) a visit, with it, to where cine lenses are sold cheaply (car boot sales?) might be fruitful.
There are a variety of 32mm hoods available on Ebay but none of them seem to be the cylindrical shape wich works so well for this application.
Harold