If you are unaware of it, then you cannot use it in the calculator anyways. Every gene basically has to be considered on a case by case basis so there cannot be a single color to test mate for recessives or what have you. However, ALL mutant genes are test mated against the wild type(the original animal's color and appearence) to figure out if said mutant is dominant, recessive, etc. However just because mutant A is dominant over wild type does not necessarily mean it is also dominant over another mutant..
What you describe is called test mating, which is done to see if a particular bird is carrying a recessive trait or is pure for a trait. Again this depends on what trait it is. If the gene of concern is a recessive white, you need to test mate the bird with a recessive white. This won't work if the gene of concern is a lavender- you would have to test mate the bird with a lavender.
It's standard to assume two parents are pure when giving an answer or using a product like the link. To try to factor in possibilities makes for a WAY too long post.. that is something I often worry about when answering a post on genetics.
"What do I get if I cross a black with a..." are far far far more complicated than it seems at all- first, WHAT black does the bird have? There are at least 3 completely different common genes that help with creating a black chicken....