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}}	17	64	default parameters (results range is 0..99)
{{Random number|100|230|67}}	48 (KO)	64 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	9399	5164	new parameters (results range in 0..9999)
{{Random number|10000|230|67}}	297 (KO)	5164 (ok)	Should be same as above
{{Random number|10000|230|61}}	4220	7817	(use another prime) this and others should all be different
{{Random number|10000|6}}	5236	156	(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}}	6341	89
{{Random number|10000|4}}	3032	22
{{Random number|10000|3}}	4061	9955
{{Random number|10000|2}}	6343	9888
{{Random number|10000|1}}	9175	9821
{{Random number|10000|0}}	7052	9754
{{Random number|10000|6|2}}	9339	8661	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	7216	8659
{{Random number|10000|4|2}}	6716	8657
{{Random number|10000|3|2}}	1784	8655
{{Random number|10000|2|2}}	4995	8653
{{Random number|10000|1|2}}	7218	8651	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	9505	2975
{{Random number|10000|1|5}}	1791	1625
{{Random number|10000|1|7}}	9663	278
{{Random number|10000|1|11}}	5261	7584
{{Random number|10000|1|13}}	3373	6237
{{Random number|10000|1|17}}	5484	3537
{{Random number|10000|1|19}}	4957	2175
{{Random number|10000|1|23}}	6602	9489
{{Random number|10000|1|29}}	3816	5434
{{Random number|10000|1|31}}	6634	4078
{{Random number|10000|1|37}}	388	34
{{Random number|10000|1|41}}	1493	7335
{{Random number|10000|1|43}}	7552	5994
{{Random number|10000|1|47}}	5985	3298
{{Random number|10000|1|51}}	7085	587
{{Random number|10000|1|53}}	2601	9250
{{Random number|10000|1|59}}	2125	5219
{{Random number|10000|1|61}}	1742	3848
{{Random number|10000|1|67}}	2842	9821
{{Random number|10000|1|71}}	8357	7109
{{Random number|10000|1|73}}	2686	5780
{{Random number|10000|1|79}}	9019	1743

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).