On Tuesday, 21 October 2014 at 15:51:27 UTC, MachineCode wrote:
pure functions are also supposed to don't use global variables at all, according to functional programming paradigm

The functional programming paradigm is kind of irrelevant to D's pure, which should really be something more like @global. D's pure makes it so that a function cannot directly access global, mutable state - i.e. no mutable global or static variables which can ever be mutated by anything in the program. So, pure functions can access immutable global and static variables, because their state can never change, and in principle, they could access const variables that were directly initialized, e.g.

const int i = 7;

However, apparently, the compiler won't do that with arrays right now, as Bearophile has found. Accessing global or static variables that can never change once they're initialized does not violate the guarantees that D's pure makes, because the value is fixed and as such is essentially the same as hard-coding the value in the function directly. It's just those that can change which are a problem (which does potentially include global, const arrays if they were initialized via a static constructor).

Now, while D's pure really doesn't directly have anything to do with functional purity (_all_ it does is restrict access to global or static variables which can be mutated - either directly or indirectly), it _is_ a vital building block for functional purity, because if the function parameters are immutable or implicitly convertible to immutable, then the compiler knows that multiple calls to the function with the same arguments will always return the same result, because the function can't access any mutable globals to get at anything different to produce a different result. And even if the parameters aren't immutable or implicitly convertible to immutable, if the parameter types and return type are unrelated, the compiler can also know that the return value was not passed into the function (since it had nowhere else to get it from), so it knows that it's unique and can do stuff like implicitly convert that value to immutable safely.

So, with pure, the compiler can recognize actual, functional purity and other useful attributes and take advantage of them, but you're probably better off if you don't think of D's pure as being functionally pure, because there are quite a few things that D's pure functions can do which functionally pure functions can't do (like mutate their arguments if they're mutable).

A good article on D's pure: http://klickverbot.at/blog/2012/05/purity-in-d/

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