# Function with only integer arguments

I want to define a function which can take only integer arguments and have found two ways to do the same :

func1[n_Integer, m_Integer] := If[n==m,0,n-m]
func2[n_?IntegerQ, m_?IntegerQ] := If[n==m,0,n-m]



I have also read about the difference between the two : here. Both of the above ways ensure that the functions are not evaluated if the argument is not having a Head as Integers.

However, I would like the functions to return 0 if the arguments are not integers instead of being unevaluated. One way to do this would be using a nested-if (not sure about the terminology in Mathematica) :

func3[n_, m_] :=
If[IntegerQ[n] && IntegerQ[m], If[n == m, 1, n - m], 0]


Is there any way other than using the above to achieve the same result? Also, if I use func1 and func2 in an integral etc such that their arguments are [5,5.2] then am I going to receive any warning of the non-evaluation or that particular value is just going to be skipped?

• Is there any need for the If statement? Adapting the answer by bill s, maybe: f[n_?IntegerQ, m_?IntegerQ] := n-m; f[n_, m_] := 0; f[n_?IntegerQ, n_?IntegerQ] := 0; Commented May 11, 2020 at 18:36

func2[n_?IntegerQ, m_?IntegerQ] := If[n==m,0,n-m]

• To avoid premature evaluation, use func2[n_?IntegerQ, m_?IntegerQ] := n - m; func2[n_, m_?(NumericQ[#] && ! IntegerQ[#] &)] = 0; func2[n_?(NumericQ[#] && ! IntegerQ[#] &), m_] = 0; Commented May 11, 2020 at 18:57