# function definition with a given list of parameters: how to use Evaluate[] properly?

given a list of variables

variables = {a, b, c};


I want to automatically define a function

f[{a_,b_,c_},x_] := g[a,b,c,x]


(I do need a delayed assignment here, since g is a compiled function).

As a first attempt I define

f[Evaluate[Pattern[#,Blank[]]&/@variables], x_] := Evaluate[Append[variables, x]]


which works out as

?f

f[{a_,b_,c_},x_]:={a,b,c,x}


This is good so far.

As a next step I want to pass the parameter list to the function g:

f[Evaluate[Pattern[#,Blank[]]&/@variables], x_] := g @@ Evaluate[Append[variables, x]]


This does not work, as the argument list for g is now left unevaluated:

?f

f[{a_,b_,c_},x_]:=g@@Evaluate[Append[variables,x]]


What do I need to change in my definition of f in order to get

?f

f[{a_,b_,c_},x_]:=g[a,b,c,x]


Thanks for any help! Roman

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• something like f[p : Pattern @@@ Thread[{variables, _}], x_] := g[## & @@ p, x]?
– kglr
Feb 24, 2015 at 16:43
• Bill, as g is a compiled function, I cannot evaluate the whole RHS. Feb 24, 2015 at 16:50

I think this approach is an overreaction. Maybe something like this will be ok?

f[l_, x_] := g[##, x] & @@ l

• Kuba, yes, much simpler! Thanks a lot. Feb 24, 2015 at 16:59
• kguler, naming the pattern is a good idea. But in this case I think Kuba's solution is simpler, by avoiding naming of the individual components of the parameter list at all. Feb 24, 2015 at 17:00

While Kuba's answer is simpler, what you asked for can be accomplished also rather easily with the help of the nested injector pattern:

variables /. {vars__} :>
(Map[Pattern[#, Blank[]] &, {vars}] /. {patts__} :>
(f[{patts}, x_] := g[vars, x]))