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}}	70	53	default parameters (results range is 0..99)
{{Random number|100|197|67}}	42 (KO)	53 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	1217	953	new parameters (results range in 0..9999)
{{Random number|10000|197|67}}	2031 (KO)	953 (ok)	Should be same as above
{{Random number|10000|197|61}}	1728	8892	(use another prime) this and others should all be different
{{Random number|10000|6}}	3280	8156	(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}}	7298	8089
{{Random number|10000|4}}	5721	8022
{{Random number|10000|3}}	8716	7955
{{Random number|10000|2}}	2800	7888
{{Random number|10000|1}}	6757	7821
{{Random number|10000|0}}	770	7754
{{Random number|10000|6|2}}	3607	6959	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	7625	6957
{{Random number|10000|4|2}}	462	6955
{{Random number|10000|3|2}}	7707	6953
{{Random number|10000|2|2}}	544	6951
{{Random number|10000|1|2}}	3381	6949	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	2311	5423
{{Random number|10000|1|5}}	3532	2373
{{Random number|10000|1|7}}	6792	9323
{{Random number|10000|1|11}}	478	3224
{{Random number|10000|1|13}}	8904	165
{{Random number|10000|1|17}}	1741	4062
{{Random number|10000|1|19}}	9018	1023
{{Random number|10000|1|23}}	6233	4921
{{Random number|10000|1|29}}	9065	5753
{{Random number|10000|1|31}}	5050	2719
{{Random number|10000|1|37}}	5609	3554
{{Random number|10000|1|41}}	9622	7435
{{Random number|10000|1|43}}	3453	4424
{{Random number|10000|1|47}}	6660	8313
{{Random number|10000|1|51}}	8139	2178
{{Random number|10000|1|53}}	2150	9151
{{Random number|10000|1|59}}	1128	9998
{{Random number|10000|1|61}}	1348	6936
{{Random number|10000|1|67}}	8141	7821
{{Random number|10000|1|71}}	6630	1699
{{Random number|10000|1|73}}	3815	8623
{{Random number|10000|1|79}}	1089	9493

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).