Real domain for swb2712 RNG

The documentation for the swb2712 RNG states that it "works natively in double precision to create U(0,1) values, and all values in the open interval (0, 1) are possible".

As far as I understand it, it is the algorithm described by Moler in https://www.mathworks.com/content/dam/mathworks/mathworks-dot-com/moler/random.pdf wherein he writes that it generates all possible floats in .

Am I mistaken in assuming that Moler is describing swb2712 in the PDF file linked or is there an error in the documentation?

[Steven Lord]

wherein he writes that it generates all possible floats in .

Where do you see that stated in random.pdf? I looked for all instances of the word "all" and none of them I interpreted as meaning what you said he wrote.

[Frederic Goualard]

On page 4, penultimate sentence of the second paragraph, it says: "It is now theoretically possible to generate all the floating-point numbers between 2^{-53} and 1-2^{-53}." What is your understanding of that sentence?