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}}	74	48	default parameters (results range is 0..99)
{{Random number|100|155|67}}	12 (KO)	48 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	7901	448	new parameters (results range in 0..9999)
{{Random number|10000|155|67}}	8445 (KO)	448 (ok)	Should be same as above
{{Random number|10000|155|61}}	6883	6550	(use another prime) this and others should all be different
{{Random number|10000|6}}	7433	465	(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}}	3574	398
{{Random number|10000|4}}	9720	331
{{Random number|10000|3}}	9328	264
{{Random number|10000|2}}	9519	197
{{Random number|10000|1}}	433	130
{{Random number|10000|0}}	6573	63
{{Random number|10000|6|2}}	7125	4343	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	3270	4341
{{Random number|10000|4|2}}	9460	4339
{{Random number|10000|3|2}}	9961	4337
{{Random number|10000|2|2}}	6109	4335
{{Random number|10000|1|2}}	2386	4333	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	8384	1500
{{Random number|10000|1|5}}	8942	5833
{{Random number|10000|1|7}}	5024	163
{{Random number|10000|1|11}}	7051	8830
{{Random number|10000|1|13}}	7581	3158
{{Random number|10000|1|17}}	2617	1824
{{Random number|10000|1|19}}	8706	6172
{{Random number|10000|1|23}}	4852	4834
{{Random number|10000|1|29}}	5007	7828
{{Random number|10000|1|31}}	1543	2165
{{Random number|10000|1|37}}	7689	5158
{{Random number|10000|1|41}}	2648	3830
{{Random number|10000|1|43}}	8789	8151
{{Random number|10000|1|47}}	4952	6815
{{Random number|10000|1|51}}	1076	5468
{{Random number|10000|1|53}}	7216	9833
{{Random number|10000|1|59}}	8667	2826
{{Random number|10000|1|61}}	9738	7156
{{Random number|10000|1|67}}	291	130
{{Random number|10000|1|71}}	6785	8798
{{Random number|10000|1|73}}	2574	3136
{{Random number|10000|1|79}}	4371	6135

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).