Consider the following CFG for floating-point constants, without exponential notation. (Note that this exercise is somewhat artificial: the language in question is regular, and would be handled by the scanner of a typical compiler)

C --> digits . digits digits --> digit more_digits more_digits --> digits | e digit --> 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 Augment this grammar with attribute rules that will accumulate the value of the constant into a val attribute of the root of the parse tree. Your answer should be S-attributed.