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Re: [Discuss-gnuradio] New random number generator


From: Stefan Wunsch
Subject: Re: [Discuss-gnuradio] New random number generator
Date: Wed, 2 Sep 2015 17:12:17 +0200
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:38.0) Gecko/20100101 Thunderbird/38.2.0

Hi all,

for me, these results don't look that bad. Consider that the quality of
the random numbers is increased enormously and with an ordinary
simulation you loop the period length of the current generator (about
1e8 samples) multiple times. The results should be highly correlated if
you use approximately the same periodicity in your simulation! That is a
bug that you hardly see at first sight.

It is possible to use the mt11213b generator, but this results only in a
performance increase of 7% (see boost reference page). I don't think
that it is worth using this one.

Can you benchmark the used memory with your code (don't know how this
works)? I think this isn't that important, but would be interesting.

Greetings
Stefan

On 02.09.2015 15:28, Marcus Müller wrote:
> Hi Stefan,
> 
> strange, I was looking at the same code just a few days ago, when I
> needed to find out whether I understood filters well enough by pushing
> noise through. Here's my small testcases (thankfully I didn't restart my
> machine since then -- these were still in /tmp).
> 
> So, in fact, I tested the performance of boost's mt19937 + boost's
> normal distribution variate, and basically, it's relatively slow,
> indeed; generating 1e8 complex random numbers (meaning 200e8 random
> floats) with a single thread takes
> 
> g++ (GCC) 5.1.1 20150618 (x86_64)
>       test_rnd (Boost)
> g++ -OXXX test_rnd.cpp
>       test_gr (gr::random)
> g++ $(pkg-config --cflags --libs gnuradio-runtime) -OXXX te_gr.cpp
> -O3 (optimized for speed)
>       1.25 s
>       5.92 s
> -O0 (explicitly unoptimized) (default)
>       23.62 s
>       7.13 s
> 
> 
> Someone who cares for speed could get a 5x increase of speed by using
> boost, because that person would be using optimization, anyways.
> However, I can't really explain what happens with boost and the
> unoptimized case; it's really three times as bad as the current
> implementation.
> However, asking perf about this, the -O3 version spends nearly all of
> its time in main(), whereas the -O0 spends most of it in some boost
> functions -- which means that -O3 definitely inlines the calculations,
> and from the disassembly alone I'd say all the stack operations needed
> to jump in and out of routines seem to contribute significantly to the
> problem.
> 
> Of course, that's not really a benchmark for all systems. What about 32
> bit? What about ARM? What about clang? Can anyone try to make a Windows
> build?
> 
> Best regards,
> Marcus
> 
> On 02.09.2015 14:10, Stefan Wunsch wrote:
>> Hi!
>>
>> I have discovered that the implemented random number generator in
>> gnuradio (see file [0]) is almost older than me. As written in the code,
>> the implementation is taken from 'Numerical recipes in C' (see version
>> from 1992). The problem is that this algorithm is really bad compared to
>> current algorithms. E.g. the period length is 1e8 compared to an
>> up-to-date algorithm (Mersenne twister) with a period length of about
>> 1e6000.
>>
>> I have fixed this [1] using boost.random and the mentioned Mersenne
>> twister. Furthermore I have written some test-cases and fixed the
>> transformation to Laplacian random numbers (the current implementation
>> is wrong). As well, I have added the random class to swig so that you
>> can use this in python.
>>
>> Now my question: Before doing a pull request, do you have any concerns
>> regarding memory use or processing load? Obviously the new
>> implementation isn't that light-weight as the ten lines of code before.
>> But the current implementation can not be used in any serious simulation
>> or publication, which is highly dependent on good random numbers. Some
>> information about the performance is given on this page: [2]. Look for
>> the generator mt19937 in table 24.5.
>>
>> Best regards
>> Stefan
>>
>> [0] gnuradio/gnuradio-runtime/lib/math/random.cc
>> [1] https://github.com/stwunsch/gnuradio/tree/newRandom
>> [2]
>> http://www.boost.org/doc/libs/1_59_0/doc/html/boost_random/reference.html
>>
>> _______________________________________________
>> Discuss-gnuradio mailing list
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> 
> 
> 
> 
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