Le 19/11/12 17:47, Douglas Bates a écrit :
On Mon, Nov 19, 2012 at 9:56 AM, Dirk Eddelbuettel <e...@debian.org
<mailto:e...@debian.org>> wrote:


    On 19 November 2012 at 09:31, Hadley Wickham wrote:
    | Hi all,
    |
    | Inspired by "Rcpp is smoking fast for agent-based models in data
    | frames" (http://www.babelgraph.org/wp/?p=358), I've been doing some

    [ I liked that post, but we got flak afterwards as his example was
    not well
    chosen. The illustration of the language speed difference does of course
    hold. ]

    | exploration of vectorisation in R vs C++ at
    | https://gist.github.com/4111256
    |
    | I have five versions of the basic vaccinate function:
    |
    | * vacc1: vectorisation in R with a for loop
    | * vacc2: used vectorised R primitives
    | * vacc3: vectorised with loop in C++
    | * vacc4: vectorised with Rcpp sugar
    | * vacc5: vectorised with Rcpp sugar, explicitly labelled as containing
    | no missing values
    |
    | And the timings I get are as follows:
    |
    | Unit: microseconds
    |                     expr    min     lq median     uq     max neval
    |  vacc1(age, female, ily) 6816.8 7139.4 7285.7 7823.9 10055.5   100
    |  vacc2(age, female, ily)  194.5  202.6  212.6  227.9   260.4   100
    |  vacc3(age, female, ily)   21.8   22.4   23.4   24.9    35.5   100
    |  vacc4(age, female, ily)   36.2   38.7   41.3   44.5    55.6   100
    |  vacc5(age, female, ily)   29.3   31.3   34.0   36.4    52.1   100
    |
    | Unsurprisingly the R loop (vacc1) is very slow, and proper
    | vectorisation speeds it up immensely.  Interestingly, however, the C++
    | loop still does considerably better (about 10x faster) - I'm not sure
    | exactly why this is the case, but I suspect it may be because it
    | avoids the many intermediate vectors that R requires.  The sugar
    | version is about half as fast, but this gets quite a bit faster with
    | explicit no missing flags.
    |
    | I'd love any feedback on my code (https://gist.github.com
    <https://gist.github.com/4111256>

    /4111256 <https://gist.github.com/4111256>) -
    | please let me know if I've missed anything obvious.

    I don't have a problem with sugar being a little slower that
    hand-rolling.
    The code is so much simpler and shorter. And we're still way faster than
    vectorised R.  I like that place.

    Somewhat off-topic/on-topic: I am still puzzled by how the Julia
    guys now
    revert back from vectorised code to hand-written loops because llvm does
    better on those.  Speed is good, but concise code with speed is
    better in my
    book.


Sigh.  Speaking as one of the "Julia guys" I should point out two things
(not that they will change Dirk's "cold, dead hands" attitude towards
Julia :-)

That might however raise the interest of some other Rcpp author ^^

1. Comprehensions provide what I feel is a clean syntax for sugar-like
operations in Julia

2. A problem with vectorization is the issue of multiple loops, hence
the number of attempts at implementing delayed evaluation in compiled
code (Eigen) and in add-on's to R.

A translation of Hadley's vacc3 into Julia could be

function vacc3a(age::Float64, female::Bool, ily::Float64){
   p = 0.25 + 0.3 * 1 / (1 - exp(0.04 * age)) + 0.1 * ily
   p *= female ? 1.25 : 0.75
   min(max(0., p), 1.)
}

out = [vacc3a(age[i], female[i], ily[i]) for i in 1:length(age)]

The comprehension collapses the
  1. Determine the length of the output vector
  2. Allocate the result
  3. Loop over indices populating the result
  4. Return the result

to a single syntactic element that, in my opinion, is quite readable.

Yes. I'm looking into mapply so that we could do e.g.

NumericVector p = mapply( age, female, ily, fun )

where fun is a function object with the correct signature, dealing with individual elements. Similar idea.

    Hence I would prefer to invoke the 80/20 rule as I think we have better
    targets to chase than to narrow that gap. But that's just my $0.02...

    If you can't sleep til both version have 20-some microsend medians
    then by
    all means go crazy ;-)

    Dirk


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