I have need (for a posting in preparation) to talk about the classification of urinals, the naming of the types, and the sociocultural conventions that surround their use.
Start with Wikipedia:
A urinal … is a sanitary plumbing fixture for urination only, predominantly used by males. [And mostly used in public places rather than in private houses, where toilets serve as fixtures for urinating while standing up.] It can take the form of a container or simply a wall, with drainage and automatic or manual flushing, or without flush water as is the case for waterless urinals.
The different types of urinals, be it for single users or as trough designs for multiple users, are intended to be utilized from a standing position (rather than squatting or sitting).
One crucial distinction is clear in this: single-user fixtures vs. multi-user fixtures. The multi-user type is sometimes called a gang urinal (parallel to gang shower), and that’s the label I’ll use here ; the single-user type, as the most common form of urinal in many places, has no standard name; I suggest the name solo urinal.
The other crucial distincrion is not clear in the Wikipedia passage above: between urinals that are hung from a wall (which I’ll call mounted urinals) and those with their base on the floor (which I’ll call standing urinals); again, mounted urinals are the most common type in many places, so that in many places unmodified urinal refers to the default type, a mounted solo urinal.
In any case, that gives us a four-way distinction, with many design details possible for each type.