Template:Random number/testcases

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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}}	57	98	default parameters (results range is 0..99)
{{Random number|100|143|67}}	84 (KO)	98 (ok)	should be same as above (the default seed depends on current day of year, the default prime is 67)
{{Random number|10000}}	3987	7398	new parameters (results range in 0..9999)
{{Random number|10000|143|67}}	7649 (KO)	7398 (ok)	Should be same as above
{{Random number|10000|143|61}}	2964	7034	(use another prime) this and others should all be different
{{Random number|10000|6}}	735	8219	(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}}	2008	8152
{{Random number|10000|4}}	8684	8085
{{Random number|10000|3}}	5451	8018
{{Random number|10000|2}}	1985	7951
{{Random number|10000|1}}	8697	7884
{{Random number|10000|0}}	5508	7817
{{Random number|10000|6|2}}	7550	6514	(varying the seed) with a small prime (2) should still get distinct values in the linear sequence
{{Random number|10000|5|2}}	6915	6512
{{Random number|10000|4|2}}	8609	6510
{{Random number|10000|3|2}}	6661	6508
{{Random number|10000|2|2}}	3758	6506
{{Random number|10000|1|2}}	5701	6504	(varying now the prime number) should get distinct non-linear sequences
{{Random number|10000|1|3}}	7883	9756
{{Random number|10000|1|5}}	9336	6260
{{Random number|10000|1|7}}	6112	2764
{{Random number|10000|1|11}}	7771	5772
{{Random number|10000|1|13}}	7486	2276
{{Random number|10000|1|17}}	4334	5284
{{Random number|10000|1|19}}	7533	1788
{{Random number|10000|1|23}}	5184	4796
{{Random number|10000|1|29}}	4168	4308
{{Random number|10000|1|31}}	7652	812
{{Random number|10000|1|37}}	1202	324
{{Random number|10000|1|41}}	4283	3332
{{Random number|10000|1|43}}	5407	9836
{{Random number|10000|1|47}}	8506	2844
{{Random number|10000|1|51}}	5759	5852
{{Random number|10000|1|53}}	2339	2356
{{Random number|10000|1|59}}	9185	1868
{{Random number|10000|1|61}}	5651	8372
{{Random number|10000|1|67}}	478	7884
{{Random number|10000|1|71}}	8918	892
{{Random number|10000|1|73}}	1339	7396
{{Random number|10000|1|79}}	3961	6908

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).