Template:Random number/testcases

Testing sandbox version compared to main version

Clic purge to get new ouputs.

Code	Result with sandbox template	Result with main template	Note
{{Random number}}	48	38	default parameters (results range is 0..99)
{{Random number|100|79|67}}	59 (KO)	38 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	407	538	new parameters (results range in 0..9999)
{{Random number|10000|79|67}}	4075 (KO)	538 (ok)	Should be same as above
{{Random number|10000|79|61}}	3953	3922	(use another prime) this and others should all be different
{{Random number|10000|6}}	9783	5647	(varying the seed) note that the sequence is linear but the distance only depends on the value of the default prime (67)
{{Random number|10000|5}}	6790	5580
{{Random number|10000|4}}	1438	5513
{{Random number|10000|3}}	4275	5446
{{Random number|10000|2}}	3644	5379
{{Random number|10000|1}}	5060	5312
{{Random number|10000|0}}	9813	5245
{{Random number|10000|6|2}}	8767	5392	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	3436	5390
{{Random number|10000|4|2}}	8474	5388
{{Random number|10000|3|2}}	2175	5386
{{Random number|10000|2|2}}	8816	5384
{{Random number|10000|1|2}}	2939	5382	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	2313	3073
{{Random number|10000|1|5}}	6091	8455
{{Random number|10000|1|7}}	6331	3837
{{Random number|10000|1|11}}	5624	4603
{{Random number|10000|1|13}}	9585	9983
{{Random number|10000|1|17}}	7458	760
{{Random number|10000|1|19}}	1023	6144
{{Random number|10000|1|23}}	4840	6893
{{Random number|10000|1|29}}	5391	3043
{{Random number|10000|1|31}}	4749	8443
{{Random number|10000|1|37}}	2593	4567
{{Random number|10000|1|41}}	4924	5349
{{Random number|10000|1|43}}	7206	748
{{Random number|10000|1|47}}	3897	1490
{{Random number|10000|1|51}}	8866	2271
{{Random number|10000|1|53}}	8235	7654
{{Random number|10000|1|59}}	9791	3789
{{Random number|10000|1|61}}	441	9164
{{Random number|10000|1|67}}	2423	5312
{{Random number|10000|1|71}}	3784	6107
{{Random number|10000|1|73}}	1700	1458
{{Random number|10000|1|79}}	1093	7662

Sandbox notes

This version uses fmod builtin operator (no longer need of Template:Mod) and the largest Mersenne prime (2³¹−1) that fits in 32 bits.

This Mersenne prime is chosen to offer equal distribution when reducing the number of digits (better than bitmasking by an exact power of 2).

The next Mersenne prime (2⁶¹−1) is too large to fit in 64-bit integers for computing products by reasonable primes (we could only use 2, 3, 5 or 7), or even just in the 52 bits of precision of a double float (used by #expr).