It will cup upward very quickly because of moisture coming in through the concrete.

I have some moisture (I think from the window AC unit) that has discolored 6 or 7 pieces of the floor right next to the wall and I'm turning the unit over and need to figure out a solution.

it is a little uneven, partially cracked and I see moisture is getting there on the edges close to the walls. it is not swimming in water but definitely wet.

@debmerill From what I understand about thermo and moisture protection.

On a separate line I calculate the subfloor prep-Carpet pad, moisture barrier, tile mortar, etc.With tile mortar-the back of the package should tell you how much surface area it will cover depending on the tooth width your trowel has.

If you decide not to tile, be sure to at least use greenboard/moisture resistant board, as most older homes have regular drywall in the bathrooms.

Presently we have lots of sensors (moisture, motion, light, sound, etc) that can be used to provide input to control the HVAC system, lights, appliances, alert us when there is water in catch pan under the laundry or water heater, etc.  

In a few of my rental properties, the crawlspaces have a lot of moisture and mold in them.

A slow five-month reno-rehab revealed no current or past moisture problems.New tenants moved in a month ago during the last week of September. 

I saw wet ceiling in basements that seems to be a plumbing problem but turned out to be a roof problem where water penetrated the space within the wall and travel all the way down to the basement...