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	69	default parameters (results range is 0..99)
{{Random number|100|363|67}}	30 (KO)	69 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	4160	1969	new parameters (results range in 0..9999)
{{Random number|10000|363|67}}	4710 (KO)	1969 (ok)	Should be same as above
{{Random number|10000|363|61}}	7547	9255	(use another prime) this and others should all be different
{{Random number|10000|6}}	3687	8050	(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}}	9834	7983
{{Random number|10000|4}}	2435	7916
{{Random number|10000|3}}	7945	7849
{{Random number|10000|2}}	8502	7782
{{Random number|10000|1}}	4754	7715
{{Random number|10000|0}}	782	7648
{{Random number|10000|6|2}}	6922	3522	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	3062	3520
{{Random number|10000|4|2}}	4795	3518
{{Random number|10000|3|2}}	942	3516
{{Random number|10000|2|2}}	6918	3514
{{Random number|10000|1|2}}	3227	3512	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	4871	5268
{{Random number|10000|1|5}}	1099	8783
{{Random number|10000|1|7}}	2514	2293
{{Random number|10000|1|11}}	5983	9324
{{Random number|10000|1|13}}	2124	2828
{{Random number|10000|1|17}}	8264	9854
{{Random number|10000|1|19}}	8819	3370
{{Random number|10000|1|23}}	4965	403
{{Random number|10000|1|29}}	1115	950
{{Random number|10000|1|31}}	6692	4446
{{Random number|10000|1|37}}	3392	4977
{{Random number|10000|1|41}}	6512	2002
{{Random number|10000|1|43}}	1265	5542
{{Random number|10000|1|47}}	7410	2567
{{Random number|10000|1|51}}	9142	9592
{{Random number|10000|1|53}}	5283	3117
{{Random number|10000|1|59}}	797	3655
{{Random number|10000|1|61}}	6933	7173
{{Random number|10000|1|67}}	3079	7715
{{Random number|10000|1|71}}	9251	4707
{{Random number|10000|1|73}}	9841	8240
{{Random number|10000|1|79}}	5916	8733

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).