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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 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. 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 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. The file belongs to another lane in flight, so it is reported and not fixed here.