Problems with debug.getinfo()

[Pi-C]

Suppose I have a table of functions indexed by name:

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get_name = function() 
	print("Entered function "..debug.getinfo(2).name) 
end	

a = {
  test_a = function(x) get_name() print(x) end,
  test_b = function(x) get_name() print(2*x) end,	
}

It seems that debug.getinfo will have different results depending on how it is called:

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-- As expected:
> a.test_a(123)
Entered function test_a
123

-- As expected:
> a["test_a"](123)
Entered function test_a
123

-- Unexpected:
> f = "test_a"
> a[f](123)
Entered function ?
123

This prevents meaningful output when looping over all functions:

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> for f_name, f in pairs(a) do a[f_name](123) end
Entered function ?
123
Entered function ?
246

Same thing with getting the function name by concatenating strings:

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> x = "a"
> a["test_"..x](123)
Entered function ?
123

Is there any way to get at the correct function name in those cases as well?