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}}	71	71	default parameters (results range is 0..99)
{{Random number|100|176|67}}	71 (ok)	71 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	6071	6071	new parameters (results range in 0..9999)
{{Random number|10000|176|67}}	6071 (ok)	6071 (ok)	Should be same as above
{{Random number|10000|176|61}}	8947	8947	(use another prime) this and others should all be different
{{Random number|10000|6}}	4681	4681	(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}}	4614	4614
{{Random number|10000|4}}	4547	4547
{{Random number|10000|3}}	4480	4480
{{Random number|10000|2}}	4413	4413
{{Random number|10000|1}}	4346	4346
{{Random number|10000|0}}	4279	4279
{{Random number|10000|6|2}}	5363	5363	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	5361	5361
{{Random number|10000|4|2}}	5359	5359
{{Random number|10000|3|2}}	5357	5357
{{Random number|10000|2|2}}	5355	5355
{{Random number|10000|1|2}}	5353	5353	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	3029	3029
{{Random number|10000|1|5}}	8382	8382
{{Random number|10000|1|7}}	3734	3734
{{Random number|10000|1|11}}	4444	4444
{{Random number|10000|1|13}}	9793	9793
{{Random number|10000|1|17}}	507	507
{{Random number|10000|1|19}}	5858	5858
{{Random number|10000|1|23}}	6556	6556
{{Random number|10000|1|29}}	2616	2616
{{Random number|10000|1|31}}	7958	7958
{{Random number|10000|1|37}}	4034	4034
{{Random number|10000|1|41}}	4746	4746
{{Random number|10000|1|43}}	91	91
{{Random number|10000|1|47}}	814	814
{{Random number|10000|1|51}}	1525	1525
{{Random number|10000|1|53}}	6865	6865
{{Random number|10000|1|59}}	2904	2904
{{Random number|10000|1|61}}	8272	8272
{{Random number|10000|1|67}}	4346	4346
{{Random number|10000|1|71}}	5039	5039
{{Random number|10000|1|73}}	410	410
{{Random number|10000|1|79}}	6464	6464

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).