Template:Random number/testcases

__EXPECTUNUSEDTEMPLATE__

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}}	82	11	default parameters (results range is 0..99)
{{Random number|100|121|67}}	10 (KO)	11 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	5134	8111	new parameters (results range in 0..9999)
{{Random number|10000|121|67}}	3189 (KO)	8111 (ok)	Should be same as above
{{Random number|10000|121|61}}	396	1713	(use another prime) this and others should all be different
{{Random number|10000|6}}	7048	406	(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}}	8664	339
{{Random number|10000|4}}	201	272
{{Random number|10000|3}}	1793	205
{{Random number|10000|2}}	3209	138
{{Random number|10000|1}}	4695	71
{{Random number|10000|0}}	1296	4
{{Random number|10000|6|2}}	7968	5236	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	739	5234
{{Random number|10000|4|2}}	8847	5232
{{Random number|10000|3|2}}	1955	5230
{{Random number|10000|2|2}}	6135	5228
{{Random number|10000|1|2}}	2880	5226	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	4505	2839
{{Random number|10000|1|5}}	6323	8065
{{Random number|10000|1|7}}	2764	3291
{{Random number|10000|1|11}}	9334	3743
{{Random number|10000|1|13}}	5797	8969
{{Random number|10000|1|17}}	2569	9421
{{Random number|10000|1|19}}	5047	4647
{{Random number|10000|1|23}}	5639	5099
{{Random number|10000|1|29}}	7973	777
{{Random number|10000|1|31}}	6163	6003
{{Random number|10000|1|37}}	9031	1681
{{Random number|10000|1|41}}	5941	2133
{{Random number|10000|1|43}}	7405	7359
{{Random number|10000|1|47}}	3884	7811
{{Random number|10000|1|51}}	719	8263
{{Random number|10000|1|53}}	7238	3489
{{Random number|10000|1|59}}	8743	9167
{{Random number|10000|1|61}}	689	4393
{{Random number|10000|1|67}}	8311	71
{{Random number|10000|1|71}}	9785	523
{{Random number|10000|1|73}}	7347	5749
{{Random number|10000|1|79}}	4660	1427

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).