![]() The 128-bit algorithm passes the diehard tests. The last one has four 32-bit words of state, and period 2 128−1. The second has one 64-bit word of state and period 2 64−1. ![]() The first has one 32-bit word of state, and period 2 32−1. : 360 Example implementation Ī C version of three xorshift algorithms : 4,5 is given here. Because plain xorshift generators (without a non-linear step) fail some statistical tests, they have been accused of being unreliable. ![]() This weakness is amended by combining them with a non-linear function, as described in the original paper. However, they do not pass every statistical test without further refinement. įor execution in software, xorshift generators are among the fastest non- cryptographically-secure random number generators, requiring very small code and state. Like all LFSRs, the parameters have to be chosen very carefully in order to achieve a long period. This makes execution extremely efficient on modern computer architectures, but it does not benefit efficiency in a hardware implementation. They generate the next number in their sequence by repeatedly taking the exclusive or of a number with a bit-shifted version of itself. They are a subset of linear-feedback shift registers (LFSRs) which allow a particularly efficient implementation in software without the excessive use of sparse polynomials. Xorshift random number generators, also called shift-register generators, are a class of pseudorandom number generators that were invented by George Marsaglia. Example random distribution of Xorshift128
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