python - Using itertools for arbitrary number of nested loops of different ranges with dependencies? -

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given list of upperbounds: b1, b2, .. bn;
dependency functions: f1, ..., fn-1,

i'm wondering if there's recipe using itertools or other classes in python for:

for i1 in range(0, b1):       i2 in range(f1(i1), b2): ...          in in range(fn-1(in-1), bn)              dostuff(i1, i2, ... in)

where there n levels of nesting?
want use helper function this:
dependentproducts(bs, fs, dostuff),
returns list or iterable

ideally, implementation iterative instead of recursive.

an iterative solution using @laurentlaporte's setup. put code right under , should work. args stack of arguments fed dostuff whenever it's full. actual solution middle part, top , bottom parts testing.

stefan = [] def dostuff(*args):     stefan.append(list(args))  args = [-1] while args:     n = len(args)     args[-1] += 1     if args[-1] >= b[n-1]:         args.pop()     elif n == len(b):         dostuff(*args)     else:         args.append(f[n](args[-1]) - 1)  assert expected == stefan

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