Imperative programming is known for employing side effect to make programs funciton. Functional programming in turn is known for it is without side effect.
A function that uses side-effects is referred to as a referentially opaque function, and one that doesn't is called referentially transparent. For simplicity's sake, we say that a referentially transparent function is one that, given the same parameters, will always return the same result.
As an example, let's use two functions, one which is referentially opaque, and the other which is referentially transparent:
globalValue = 0; integer function rq(integer x) begin globalValue = globalValue + 1; return x + globalValue; end
integer function rt(integer x) begin return x + 1; end
Now, rt is referentially transparent, which means that rt(x) = rt(x) as long as x is the same value. For instance, rt(6) = rt(6) = 7, rt(4) = rt(3+1) = 5, and so on. However, we can't say any such thing for rq because it uses a global value which it modifies.
So, how is this a bad thing? Well let's say we want to do some reasoning about the following chunk of code:
integer p = rq(x) + rq(y) * (rq(x) - rq(x));
Now, right off-hand, one would be tempted to simplify this line of code to:
integer p = rq(x) + rq(y) * (0) = integer p = rq(x);
However, this will not work for rq because rq(x) <> rq(x)! Remember, that the return value of rq is based on a global value which isn't passed in and which gets modified all over the place. This goes against common sense since anything minus itself should be 0.
This however will work for rt, because it is a referentially transparent function. Therefore we can reason about our code which will lead to more robust programs, the possibility of finding bugs that we couldn't hope to find by testing, and even the possibility of seeing opportunities for optimization.
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