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}}	98	83	default parameters (results range is 0..99)
{{Random number|100|298|67}}	0 (KO)	83 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	871	5783	new parameters (results range in 0..9999)
{{Random number|10000|298|67}}	9081 (KO)	5783 (ok)	Should be same as above
{{Random number|10000|298|61}}	8037	8106	(use another prime) this and others should all be different
{{Random number|10000|6}}	7404	6219	(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}}	8832	6152
{{Random number|10000|4}}	5838	6085
{{Random number|10000|3}}	6313	6018
{{Random number|10000|2}}	8956	5951
{{Random number|10000|1}}	7102	5884
{{Random number|10000|0}}	4769	5817
{{Random number|10000|6|2}}	4899	1976	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	8677	1974
{{Random number|10000|4|2}}	6865	1972
{{Random number|10000|3|2}}	5055	1970
{{Random number|10000|2|2}}	8841	1968
{{Random number|10000|1|2}}	3904	1966	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	807	2951
{{Random number|10000|1|5}}	8695	4916
{{Random number|10000|1|7}}	6006	6887
{{Random number|10000|1|11}}	8843	820
{{Random number|10000|1|13}}	1514	2789
{{Random number|10000|1|17}}	9633	6721
{{Random number|10000|1|19}}	9001	8681
{{Random number|10000|1|23}}	5999	2622
{{Random number|10000|1|29}}	4201	8507
{{Random number|10000|1|31}}	2388	488
{{Random number|10000|1|37}}	4990	6383
{{Random number|10000|1|41}}	8839	303
{{Random number|10000|1|43}}	8143	2284
{{Random number|10000|1|47}}	740	6241
{{Random number|10000|1|51}}	109	177
{{Random number|10000|1|53}}	3892	2137
{{Random number|10000|1|59}}	7908	8018
{{Random number|10000|1|61}}	7284	9989
{{Random number|10000|1|67}}	430	5884
{{Random number|10000|1|71}}	3660	9833
{{Random number|10000|1|73}}	3028	1806
{{Random number|10000|1|79}}	6807	7726

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).