expression manipulation - Count number of summands?

Consider

fun = a+b+c+d/e

If we want to get the number of summands, we can use Length[fun], which properly gives 5 in this case. However, if fun contains only a single term

fun = d/e

Then applying Length[fun] gives 2 since now it actually counts the number of terms in the multiplication instead of summation.

Therefore, Length is rather a hack than an actually reliable function to get the number of summands. Is there an efficient function that returns the number of summands reliably?

Answer

Best thing I can come up with is

cntSummands[expr_]:=If[Head[expr]===Plus,Length[expr],If[expr === 0, 0, 1]]

but this sounds like a terrible workaround. I am sure there are better ways?

Comments

plotting - Plot 4D data with color as 4th dimension

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plotting - Mathematica: 3D plot based on combined 2D graphs

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