Peter Verswyvelen wrote:
I do have asked myself the question whether a "really random generating" function could be regarded as "pure" somehow
Not really. Somewhere in your program you are likely to make the assumption that a value you obtained, however indirectly, from this function will be the same in two different places. But the sands will constantly be shifting. Furthermore, in real life physical RNGs also involve state, because they need to accumulate entropy. For example, in Unix (on many platforms), the physical RNG device /dev/random will block until there is enough entropy to provide a random number. The /dev/urandom device always returns a number immediately, but that is because it will return a pseudo-random number if there is not enough entropy available, again requiring state. -Yitz