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}}	66	66	default parameters (results range is 0..99)
{{Random number|100|210|67}}	66 (ok)	66 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	6366	6366	new parameters (results range in 0..9999)
{{Random number|10000|210|67}}	6366 (ok)	6366 (ok)	Should be same as above
{{Random number|10000|210|61}}	6254	6254	(use another prime) this and others should all be different
{{Random number|10000|6}}	2698	2698	(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}}	2631	2631
{{Random number|10000|4}}	2564	2564
{{Random number|10000|3}}	2497	2497
{{Random number|10000|2}}	2430	2430
{{Random number|10000|1}}	2363	2363
{{Random number|10000|0}}	2296	2296
{{Random number|10000|6|2}}	9633	9633	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	9631	9631
{{Random number|10000|4|2}}	9629	9629
{{Random number|10000|3|2}}	9627	9627
{{Random number|10000|2|2}}	9625	9625
{{Random number|10000|1|2}}	9623	9623	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	4433	4433
{{Random number|10000|1|5}}	4055	4055
{{Random number|10000|1|7}}	3681	3681
{{Random number|10000|1|11}}	2931	2931
{{Random number|10000|1|13}}	2547	2547
{{Random number|10000|1|17}}	1801	1801
{{Random number|10000|1|19}}	1414	1414
{{Random number|10000|1|23}}	660	660
{{Random number|10000|1|29}}	9525	9525
{{Random number|10000|1|31}}	9170	9170
{{Random number|10000|1|37}}	8033	8033
{{Random number|10000|1|41}}	7277	7277
{{Random number|10000|1|43}}	6879	6879
{{Random number|10000|1|47}}	6132	6132
{{Random number|10000|1|51}}	5409	5409
{{Random number|10000|1|53}}	5004	5004
{{Random number|10000|1|59}}	3895	3895
{{Random number|10000|1|61}}	3505	3505
{{Random number|10000|1|67}}	2363	2363
{{Random number|10000|1|71}}	1607	1607
{{Random number|10000|1|73}}	1256	1256
{{Random number|10000|1|79}}	130	130

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).