I have a question about how are function applications compiled. In particular, how does the program "know" the difference between f and g in:
let f w x y z = w + x + y - z
let g w x y = let m = ref (w + x + y) in function z -> !m - z
print_int (f 1 2 3 4) print_int (g 1 2 3 4)
According to my logic, the first call should compile something like push 1 push 2 push 3 push 4 call function_f and the second like push 1 push 2 push 3 call function_g // the return value, new function closure, is (for example) in register A push 4 call A
But obviously, this cannot be the case, as the functions aren't determined in advance at all call sites (in a functional language). How does the compiler deal with that?
(I am simplifying here, disregarding the matters of closure construction and deconstruction, along with environments. However, the refuced example still causes me problems.)
On Thu, 2007-04-26 at 00:38 +0200, Tom wrote: > I have a question about how are function applications compiled. In > particular, how does the program "know" the difference between f and g > in: > But obviously, this cannot be the case, as the functions aren't > determined in advance at all call sites (in a functional language). > How does the compiler deal with that?
It knows the type of the function expression, and that is all that is required. Incidentally Ocaml evaluates right to left. So
But that doesn't explain how does each apply know what to do, either to build a new closure (in the case above, the first two applies) or to actually call the code (the third apply).
> On 26/04/07, skaller <skal...@users.sourceforge.net> wrote: > It knows the type of the function expression, and that is all > that is required. Incidentally Ocaml evaluates right to left. > So
> But that doesn't explain how does each apply know what to do, either > to build a new closure (in the case above, the first two applies) or > to actually call the code (the third apply).
push (eval f) calculates the expression f, which results in a closure. Apply, with the stack:
closure f <-- top value 1 ...
calculates
apply(closure f, value 1)
That is how functions are called. In practice, a compiler may do optimisations.
In the Felix compiler for example, in the expression:
apply(f,e)
if the subexpresion f is a simple function constant, then the compiler can inline the function. Otherwise, a closure has to be formed. In Felix this means instantiating a C++ class (the function f) to make a closure (an object of the class). In Felix the actual C++ used is:
(new f(environment)) -> apply (e)
In other words, all compilers will look for optimisations such as are made possible when a direct call is detected, inlining in such cases being one possible optimisation which could be applied.
the actual sequence I have above may not be how the Ocaml compiler organises it: the point is that the model is built to not need to make the distinction you're asking about: that's just an optimisation.
-- John Skaller <skaller at users dot sf dot net> Felix, successor to C++: http://felix.sf.net
> But that doesn't explain how does each apply know what to do, either to > build a new closure (in the case above, the first two applies) or to > actually call the code (the third apply).
The generated abstract machine code is more like: push (eval z) push (eval y) push (eval x) push (eval f) apply 3 (* number of arguments provided *)
"apply" doesn't do anything clever, it just enters the code of the called function f. It's the code of f that determines what to do with the arguments provided on the stack.