XOR and EQV are usually preferred over other logical operators, because they are bijective functions when these recurrence relations are considered as functions on states k bits long, the graph of states is partitioned into cycles, whereas other operations would have branches leading into cycles.Ī loop of n spaceships has 2 n possible states, but the empty state in the case of XOR (and the full state in the case of EQV) will lead back into themselves, so the other states' periods are p ≤ 2 n-1. Inverting the glider presences in one is equivalent to swapping the operations XOR and EQV. the p120-based PRNG is defined by b n = b n-1 XOR b n-k, using XOR (outputted only if they're different),.the p46-based PRNG is defined by b n = b n-1 EQV b n-k, using the EQV operation (a glider is outputted only if the two inputted are equal),.PRNGs' outputs are usually defined by recurrence relations. Such a PRNG usually contains gliders or other spaceships in a loop with a feedback mechanism that causes later spaceships to interfere with the generation of earlier spaceships, in a linear-feedback shift register. In Life, the term refers to a PRNG implemented as a Life pattern, with the bits represented by the presence or absence of objects such as gliders or blocks. This article may require cleanup to meet LifeWiki's quality standards.Ī pseudo-random number generator ( PRNG) is an algorithm that produces a sequence of bits that looks random (but cannot really be random, being algorithmically determined).
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