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Y: correct the divisor-defect numbers -- 6 of 25 corpus records, and the rate rises with magnitude

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lane Y 2026-09-08 11:39:36 -04:00
parent 655034fb51
commit 5cd301dcf5
1 changed files with 6 additions and 2 deletions
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docs/Y-standalone-rng-and-tail.md
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@ -183,9 +183,13 @@ entirely.
of the first 3000 integers, smallest `m = 3` giving -20 against -19. It is not precision loss at
scale. `m / 0.15` is an exact integer whenever 3 divides m, and the two constants straddle it.
Measured on the corpus by inverting the stored limit: **5 of 25 player-records would get a different
And the multiples of 3 are only the floor: the disagreement rate is 33.3% up to about 1.2 million,
66.7% by 1.36 million and 100% at and above 3 million.
Measured on the corpus by inverting the stored limit: **6 of 25 player-records would get a different
stored value from the engine's current constant than the game wrote.** The defect is live, it is a
whole unit rather than an ulp, and it is one third of all inputs rather than a tail.
whole unit rather than an ulp, and it is a third of all inputs at small values and all of them at
large ones -- the opposite shape from "one ulp on large empires", which would have been harmless.
The file belongs to another lane in flight, so it is reported and not fixed here.