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Alex D Herbert edited comment on RNG-50 at 8/1/18 1:56 PM:
-----------------------------------------------------------

Initial modifications without a cache for the LargeMeanPoissonSampler have been 
made:

[Git PR for RNG-50|https://github.com/apache/commons-rng/pull/8]



was (Author: alexherbert):
Initial modifications without a cache for the LargeMeanPoissonSampler have been 
made:

[Git PR for RNG-50|http://example.com]


> PoissonSampler single use speed improvements
> --------------------------------------------
>
>                 Key: RNG-50
>                 URL: https://issues.apache.org/jira/browse/RNG-50
>             Project: Commons RNG
>          Issue Type: Improvement
>    Affects Versions: 1.0
>            Reporter: Alex D Herbert
>            Priority: Minor
>         Attachments: PoissonSamplerTest.java, jmh-result.csv
>
>
> The Sampler architecture of {{org.apache.commons.rng.sampling.distribution}} 
> is nicely written for fast sampling of small dataset sizes. The constructors 
> for the samplers do not check the input parameters are valid for the 
> respective distributions (in contrast to the old 
> {{org.apache.commons.math3.random.distribution}} classes). I assume this is a 
> design choice for speed. Thus most of the samplers can be used within a loop 
> to sample just one value with very little overhead.
> The {{PoissonSampler}} precomputes log factorial numbers upon construction if 
> the mean is above 40. This is done using the {{InternalUtils.FactorialLog}} 
> class. As of version 1.0 this internal class is currently only used in the 
> {{PoissonSampler}}.
> The cache size is limited to 2*PIVOT (where PIVOT=40). But it creates and 
> precomputes the cache every time a PoissonSampler is constructed if the mean 
> is above the PIVOT value.
> Why not create this once in a static block for the PoissonSampler?
> {code:java}
> /** {@code log(n!)}. */
> private static final FactorialLog factorialLog;
>      
> static 
> {
>     factorialLog = FactorialLog.create().withCache((int) (2 * 
> PoissonSampler.PIVOT));
> }
> {code}
> This will make the construction cost of a new {{PoissonSampler}} negligible. 
> If the table is computed dynamically as a static construction method then the 
> overhead will be in the first use. Thus the following call will be much 
> faster:
> {code:java}
> UniformRandomProvider rng = ...;
> int value = new PoissonSampler(rng, 50).sample();
> {code}
> I have tested this modification (see attached file) and the results are:
> {noformat}
> Mean 40  Single construction ( 7330792) vs Loop construction                  
>         (24334724)   (3.319522.2x faster)
> Mean 40  Single construction ( 7330792) vs Loop construction with static 
> FactorialLog ( 7990656)   (1.090013.2x faster)
> Mean 50  Single construction ( 6390303) vs Loop construction                  
>         (19389026)   (3.034132.2x faster)
> Mean 50  Single construction ( 6390303) vs Loop construction with static 
> FactorialLog ( 6146556)   (0.961857.2x faster)
> Mean 60  Single construction ( 6041165) vs Loop construction                  
>         (21337678)   (3.532047.2x faster)
> Mean 60  Single construction ( 6041165) vs Loop construction with static 
> FactorialLog ( 5329129)   (0.882136.2x faster)
> Mean 70  Single construction ( 6064003) vs Loop construction                  
>         (23963516)   (3.951765.2x faster)
> Mean 70  Single construction ( 6064003) vs Loop construction with static 
> FactorialLog ( 5306081)   (0.875013.2x faster)
> Mean 80  Single construction ( 6064772) vs Loop construction                  
>         (26381365)   (4.349935.2x faster)
> Mean 80  Single construction ( 6064772) vs Loop construction with static 
> FactorialLog ( 6341274)   (1.045591.2x faster)
> {noformat}
> Thus the speed improvements would be approximately 3-4 fold for single use 
> Poisson sampling.



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