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}}	91	91	default parameters (results range is 0..99)
{{Random number|100|115|67}}	91 (ok)	91 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	7091	7091	new parameters (results range in 0..9999)
{{Random number|10000|115|67}}	7091 (ok)	7091 (ok)	Should be same as above
{{Random number|10000|115|61}}	479	479	(use another prime) this and others should all be different
{{Random number|10000|6}}	9788	9788	(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}}	9721	9721
{{Random number|10000|4}}	9654	9654
{{Random number|10000|3}}	9587	9587
{{Random number|10000|2}}	9520	9520
{{Random number|10000|1}}	9453	9453
{{Random number|10000|0}}	9386	9386
{{Random number|10000|6|2}}	8651	8651	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	8649	8649
{{Random number|10000|4|2}}	8647	8647
{{Random number|10000|3|2}}	8645	8645
{{Random number|10000|2|2}}	8643	8643
{{Random number|10000|1|2}}	8641	8641	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	2961	2961
{{Random number|10000|1|5}}	1601	1601
{{Random number|10000|1|7}}	244	244
{{Random number|10000|1|11}}	7527	7527
{{Random number|10000|1|13}}	6161	6161
{{Random number|10000|1|17}}	3449	3449
{{Random number|10000|1|19}}	2091	2091
{{Random number|10000|1|23}}	9361	9361
{{Random number|10000|1|29}}	5292	5292
{{Random number|10000|1|31}}	3933	3933
{{Random number|10000|1|37}}	9850	9850
{{Random number|10000|1|41}}	7138	7138
{{Random number|10000|1|43}}	5787	5787
{{Random number|10000|1|47}}	3074	3074
{{Random number|10000|1|51}}	363	363
{{Random number|10000|1|53}}	8982	8982
{{Random number|10000|1|59}}	4884	4884
{{Random number|10000|1|61}}	3525	3525
{{Random number|10000|1|67}}	9453	9453
{{Random number|10000|1|71}}	6726	6726
{{Random number|10000|1|73}}	5385	5385
{{Random number|10000|1|79}}	1338	1338

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).