Calculate a product or ratio of SI units.
kg m / s s (kilogram-meter per second squared) should return
The input will always be either:
- A list of symbols for SI units, space-separated (representing a product) or
- The above,
/, and the above (representing a ratio).
The input will never contain any other characters (such as numeric literals or other punctuation).
You may assume that this will always equal a single SI unit.
Use the following symbols:
Base quantities: s # second m # meter kg # kilogram A # ampere Derived quantities: N = kg m / s s # newton J = N m # joule W = J / s # watt Hz = W / J # hertz Pa = N / m m # pascal C = s A # coulomb V = J / C # volt F = C / V # farad Ω = V / A # ohm (you may use the O symbol instead, for a penalty of +3 bytes) S = A / V # siemens Wb = J / A # weber T = Wb / m m # tesla H = Wb / A # henry
m => m N m => J J / W => s A J / W => C T m m => Wb N / A m => T V s / A => H J S / F A => V s / s s => Hz Hz kg m Hz => N Hz s / Ω => S Wb / H => A V Pa S s / C => Pa N s / m Hz => kg V A => W s / Ω => F J / A s A => Ω
Shortest code (in bytes) wins.