I wonder whether it is currently (or will soon be) possible to specify 
which physical dimension (or unit) a symbol has and have sympy check that 
these are compatible when, say, adding symbols or expressions, and compute 
the resulting dimension (or unit) when, say, multiplying symbols or 
expressions?

I imagine something like


>>> x = Symbol("x", dimension=length/time)
>>> y = Symbol("y", dimension=time)
>>> x + y
DimensionError: incompatible dimensions cannot be added
>>> (x * y).dimension
length


I know that sympy has now units, but it seems they are only used in 
numerical computations, not in symbolic ones, am I right? 

If the imagined functionality is not present or planned to be added soon, 
how would you advise me to add it for my project by subclassing? Would it 
be sufficient to subclass sympy.Expr or would I have to subclass Add, Mul, 
etc. as well?

Thanks, Jobst

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