Calling Scala code from R using jvmr

[Update: the jvmr package has been replaced by a new package called rscala. I have a new post which explains it.]

Introduction

In previous posts I have explained why I think that Scala is a good language to use for statistical computing and data science. Despite this, R is very convenient for simple exploratory data analysis and visualisation – currently more convenient than Scala. I explained in my recent talk at the RSS what (relatively straightforward) things would need to be developed for Scala in order to make R completely redundant, but for the short term at least, it seems likely that I will need to use both R and Scala for my day-to-day work.

Since I use both Scala and R for statistical computing, it is very convenient to have a degree of interoperability between the two languages. I could call R from Scala code or Scala from R code, or both. Fortunately, some software tools have been developed recently which make this much simpler than it used to be. The software is jvmr, and as explained at the website, it enables calling Java and Scala from R and calling R from Java and Scala. I have previously discussed calling Java from R using the R CRAN package rJava. In this post I will focus on calling Scala from R using the CRAN package jvmr, which depends on rJava. I may examine calling R from Scala in a future post.

On a system with Java installed, it should be possible to install the jvmr R package with a simple

install.packages("jvmr")

from the R command prompt. The package has the usual documentation associated with it, but the draft paper describing the package is the best way to get an overview of its capabilities and a walk-through of simple usage.

A Gibbs sampler in Scala using Breeze

For illustration I’m going to use a Scala implementation of a Gibbs sampler which relies on the Breeze scientific library, and will be built using the simple build tool, sbt. Most non-trivial Scala projects depend on various versions of external libraries, and sbt is an easy way to build even very complex projects trivially on any system with Java installed. You don’t even need to have Scala installed in order to build and run projects using sbt. I give some simple complete worked examples of building and running Scala sbt projects in the github repo associated with my recent RSS talk. Installing sbt is trivial as explained in the repo READMEs.

For this post, the Scala code, gibbs.scala is given below:

package gibbs

object Gibbs {

    import scala.annotation.tailrec
    import scala.math.sqrt
    import breeze.stats.distributions.{Gamma,Gaussian}

    case class State(x: Double, y: Double) {
      override def toString: String = x.toString + " , " + y + "\n"
    }

    def nextIter(s: State): State = {
      val newX = Gamma(3.0, 1.0/((s.y)*(s.y)+4.0)).draw
      State(newX, Gaussian(1.0/(newX+1), 1.0/sqrt(2*newX+2)).draw)
    }

    @tailrec def nextThinnedIter(s: State,left: Int): State =
      if (left==0) s else nextThinnedIter(nextIter(s),left-1)

    def genIters(s: State, stop: Int, thin: Int): List[State] = {
      @tailrec def go(s: State, left: Int, acc: List[State]): List[State] =
        if (left>0)
          go(nextThinnedIter(s,thin), left-1, s::acc)
          else acc
      go(s,stop,Nil).reverse
    }

    def main(args: Array[String]) = {
      if (args.length != 3) {
        println("Usage: sbt \"run <outFile> <iters> <thin>\"")
        sys.exit(1)
      } else {
        val outF=args(0)
        val iters=args(1).toInt
        val thin=args(2).toInt
        val out = genIters(State(0.0,0.0),iters,thin)
        val s = new java.io.FileWriter(outF)
        s.write("x , y\n")
        out map { it => s.write(it.toString) }
        s.close
      }
    }

}

This code requires Scala and the Breeze scientific library in order to build. We can specify this in a sbt build file, which should be called build.sbt and placed in the same directory as the Scala code.

name := "gibbs"

version := "0.1"

scalacOptions ++= Seq("-unchecked", "-deprecation", "-feature")

libraryDependencies  ++= Seq(
            "org.scalanlp" %% "breeze" % "0.10",
            "org.scalanlp" %% "breeze-natives" % "0.10"
)

resolvers ++= Seq(
            "Sonatype Snapshots" at "https://oss.sonatype.org/content/repositories/snapshots/",
            "Sonatype Releases" at "https://oss.sonatype.org/content/repositories/releases/"
)

scalaVersion := "2.11.2"

Now, from a system command prompt in the directory where the files are situated, it should be possible to download all dependencies and compile and run the code with a simple

sbt "run output.csv 50000 1000"

Calling via R system calls

Since this code takes a relatively long time to run, calling it from R via simple system calls isn’t a particularly terrible idea. For example, we can do this from the R command prompt with the following commands

system("sbt \"run output.csv 50000 1000\"")
out=read.csv("output.csv")
library(smfsb)
mcmcSummary(out,rows=2)

This works fine, but won’t work so well for code which needs to be called repeatedly. For this, tighter integration between R and Scala would be useful, which is where jvmr comes in.

Calling sbt-based Scala projects via jvmr

jvmr provides a very simple way to embed a Scala interpreter within an R session, to be able to execute Scala expressions from R and to have the results returned back to the R session for further processing. The main issue with using this in practice is managing dependencies on external libraries and setting the Scala classpath correctly. For an sbt project such as we are considering here, it is relatively easy to get sbt to provide us with all of the information we need in a fully automated way.

First, we need to add a new task to our sbt build instructions, which will output the full classpath in a way that is easy to parse from R. Just add the following to the end of the file build.sbt:

lazy val printClasspath = taskKey[Unit]("Dump classpath")

printClasspath := {
  (fullClasspath in Runtime value) foreach {
    e => print(e.data+"!")
  }
}

Be aware that blank lines are significant in sbt build files. Once we have this in our build file, we can write a small R function to get the classpath from sbt and then initialise a jvmr scalaInterpreter with the correct full classpath needed for the project. An R function which does this, sbtInit(), is given below

sbtInit<-function()
{
  library(jvmr)
  system2("sbt","compile")
  cpstr=system2("sbt","printClasspath",stdout=TRUE)
  cpst=cpstr[length(cpstr)]
  cpsp=strsplit(cpst,"!")[[1]]
  cp=cpsp[1:(length(cpsp)-1)]
  scalaInterpreter(cp,use.jvmr.class.path=FALSE)
}

With this function at our disposal, it becomes trivial to call our Scala code direct from the R interpreter, as the following code illustrates.

sc=sbtInit()
sc['import gibbs.Gibbs._']
out=sc['genIters(State(0.0,0.0),50000,1000).toArray.map{s=>Array(s.x,s.y)}']
library(smfsb)
mcmcSummary(out,rows=2)

Here we call the getIters function directly, rather than via the main method. This function returns an immutable List of States. Since R doesn’t understand this, we map it to an Array of Arrays, which R then unpacks into an R matrix for us to store in the matrix out.

Summary

The CRAN package jvmr makes it very easy to embed a Scala interpreter within an R session. However, for most non-trivial statistical computing problems, the Scala code will have dependence on external scientific libraries such as Breeze. The standard way to easily manage external dependencies in the Scala ecosystem is sbt. Given an sbt-based Scala project, it is easy to add a task to the sbt build file and a function to R in order to initialise the jvmr Scala interpreter with the full classpath needed to call arbitrary Scala functions. This provides very convenient inter-operability between R and Scala for many statistical computing applications.

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Faster Gibbs sampling MCMC from within R

Introduction

This post follows on from the previous post on Gibbs sampling in various languages. In that post a simple Gibbs sampler was implemented in various languages, and speeds were compared. It was seen that R is very slow for iterative simulation algorithms characteristic of MCMC methods such as the Gibbs sampler. Statically typed languages such as C/C++ and Java were seen to be fastest for this type of algorithm. Since many statisticians like to use R for most of their work, there is natural interest in the possibility of extending R by calling simulation algorithms written in other languages. It turns out to be straightforward to call C, C++ and Java from within R, so this post will look at how this can be done, and exactly how fast the different options turn out to be. The post draws heavily on my previous posts on calling C from R and calling Java from R, as well as Dirk Eddelbuettel’s post on calling C++ from R, and it may be helpful to consult these posts for further details.

Languages

R

We will start with the simple pure R version of the Gibbs sampler, and use this as our point of reference for understanding the benefits of re-coding in other languages. The background to the problem was given in the previous post and so won’t be repeated here. The code can be given as follows:

gibbs<-function(N=50000,thin=1000)
{
	mat=matrix(0,ncol=2,nrow=N)
	x=0
	y=0
	for (i in 1:N) {
		for (j in 1:thin) {
			x=rgamma(1,3,y*y+4)
			y=rnorm(1,1/(x+1),1/sqrt(2*x+2))
		}
		mat[i,]=c(x,y)
	}
	names(mat)=c("x","y")
	mat
}

This code works perfectly, but is very slow. It takes 458.9 seconds on my very fast laptop (details given in previous post).

C

Let us now see how we can introduce a new function, gibbsC into R, which works in exactly the same way as gibbs, but actually calls on compiled C code to do all of the work. First we need the C code in a file called gibbs.c:

#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <R.h>
#include <Rmath.h>

void gibbs(int *Np,int *thinp,double *xvec,double *yvec)
{
  int i,j;
  int N=*Np,thin=*thinp;
  GetRNGstate();
  double x=0;
  double y=0;
  for (i=0;i<N;i++) {
    for (j=0;j<thin;j++) {
      x=rgamma(3.0,1.0/(y*y+4));
      y=rnorm(1.0/(x+1),1.0/sqrt(2*x+2));
    }
    xvec[i]=x; yvec[i]=y;
  }
  PutRNGstate();
}

This can be compiled with R CMD SHLIB gibbs.c. We can load it into R and wrap it up so that it is easy to use with the following code:

dyn.load(file.path(".",paste("gibbs",.Platform$dynlib.ext,sep="")))
gibbsC<-function(n=50000,thin=1000)
{
  tmp=.C("gibbs",as.integer(n),as.integer(thin),
                x=as.double(1:n),y=as.double(1:n))
  mat=cbind(tmp$x,tmp$y)
  colnames(mat)=c("x","y")
  mat
}

The new function gibbsC works just like gibbs, but takes just 12.1 seconds to run. This is roughly 40 times faster than the pure R version, which is a big deal.

Note that using the R inline package, it is possible to directly inline the C code into the R source code. We can do this with the following R code:

require(inline)
code='
  int i,j;
  int N=*Np,thin=*thinp;
  GetRNGstate();
  double x=0;
  double y=0;
  for (i=0;i<N;i++) {
    for (j=0;j<thin;j++) {
      x=rgamma(3.0,1.0/(y*y+4));
      y=rnorm(1.0/(x+1),1.0/sqrt(2*x+2));
    }
    xvec[i]=x; yvec[i]=y;
  }
  PutRNGstate();'
gibbsCin<-cfunction(sig=signature(Np="integer",thinp="integer",xvec="numeric",yvec="numeric"),body=code,includes="#include <Rmath.h>",language="C",convention=".C")
gibbsCinline<-function(n=50000,thin=1000)
{
  tmp=gibbsCin(n,thin,rep(0,n),rep(0,n))
  mat=cbind(tmp$x,tmp$y)
  colnames(mat)=c("x","y")
  mat
}

This runs at the same speed as the code compiled separately, and is arguably a bit cleaner in this case. Personally I’m not a big fan of inlining code unless it is something really very simple. If there is one thing that we have learned from the murky world of web development, it is that little good comes from mixing up different languages in the same source code file!

C++

We can also inline C++ code into R using the inline and Rcpp packages. The code below originates from Sanjog Misra, and was discussed in the post by Dirk Eddelbuettel mentioned at the start of this post.

require(Rcpp)
require(inline)

gibbscode = '
int N = as<int>(n);
int thn = as<int>(thin);
int i,j;
RNGScope scope;
NumericVector xs(N),ys(N);
double x=0;
double y=0;
for (i=0;i<N;i++) {
  for (j=0;j<thn;j++) {
    x = ::Rf_rgamma(3.0,1.0/(y*y+4));
    y= ::Rf_rnorm(1.0/(x+1),1.0/sqrt(2*x+2));
  }
  xs(i) = x;
  ys(i) = y;
}
return Rcpp::DataFrame::create( Named("x")= xs, Named("y") = ys);
'

RcppGibbsFn <- cxxfunction( signature(n="int", thin = "int"),
                              gibbscode, plugin="Rcpp")

RcppGibbs <- function(N=50000,thin=1000)
{
	RcppGibbsFn(N,thin)
}

This version of the sampler runs in 12.4 seconds, just a little bit slower than the C version.

Java

It is also quite straightforward to call Java code from within R using the rJava package. The following code

import java.util.*;
import cern.jet.random.tdouble.*;
import cern.jet.random.tdouble.engine.*;

class GibbsR
{

    public static double[][] gibbs(int N,int thin,int seed)
    {
	DoubleRandomEngine rngEngine=new DoubleMersenneTwister(seed);
	Normal rngN=new Normal(0.0,1.0,rngEngine);
	Gamma rngG=new Gamma(1.0,1.0,rngEngine);
	double x=0,y=0;
	double[][] mat=new double[2][N];
	for (int i=0;i<N;i++) {
	    for (int j=0;j<thin;j++) {
		x=rngG.nextDouble(3.0,y*y+4);
		y=rngN.nextDouble(1.0/(x+1),1.0/Math.sqrt(2*x+2));
	    }
	    mat[0][i]=x; mat[1][i]=y;
	}
	return mat;
    }

}

can be compiled with javac GibbsR.java (assuming that Parallel COLT is in the classpath), and wrapped up from within an R session with

library(rJava)
.jinit()
obj=.jnew("GibbsR")

gibbsJ<-function(N=50000,thin=1000,seed=trunc(runif(1)*1e6))
{
    result=.jcall(obj,"[[D","gibbs",as.integer(N),as.integer(thin),as.integer(seed))
    mat=sapply(result,.jevalArray)
    colnames(mat)=c("x","y")
    mat
}

This code runs in 10.7 seconds. Yes, that’s correct. Yes, the Java code is faster than both the C and C++ code! This really goes to show that Java is now an excellent option for numerically intensive work such as this. However, before any C/C++ enthusiasts go apoplectic, I should explain why Java turns out to be faster here, as the comparison is not quite fair… In the C and C++ code, use was made of the internal R random number generation routines, which are relatively slow compared to many modern numerical library implementations. In the Java code, I used Parallel COLT for random number generation, as it isn’t straightforward to call the R generators from Java code. It turns out that the COLT generators are faster than the R generators, and that is why Java turns out to be faster here…

C+GSL

Of course we do not have to use the R random number generators within our C code. For example, we could instead call on the GSL generators, using the following code:

#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <gsl/gsl_rng.h>
#include <gsl/gsl_randist.h>
#include <R.h>

void gibbsGSL(int *Np,int *thinp,int *seedp,double *xvec,double *yvec)
{
  int i,j;
  int N=*Np,thin=*thinp,seed=*seedp;
  gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937);
  gsl_rng_set(r,seed);
  double x=0;
  double y=0;
  for (i=0;i<N;i++) {
    for (j=0;j<thin;j++) {
      x=gsl_ran_gamma(r,3.0,1.0/(y*y+4));
      y=1.0/(x+1)+gsl_ran_gaussian(r,1.0/sqrt(2*x+2));
    }
    xvec[i]=x; yvec[i]=y;
  }
}

It can be compiled with R CMD SHLIB -lgsl -lgslcblas gibbsGSL.c, and then called as for the regular C version. This runs in 8.0 seconds, which is noticeably faster than the Java code, but probably not “enough” faster to make it an important factor to consider in language choice.

Summary

In this post I’ve shown that it is relatively straightforward to call code written in C, C++ or Java from within R, and that this can give very significant performance gains relative to pure R code. All of the options give fairly similar performance gains. I showed that in the case of this particular example, the “obvious” Java code is actually slightly faster than the “obvious” C or C++ code, and explained why, and how to make the C version slightly faster by using the GSL. The post by Dirk shows how to call the GSL generators from the C++ version, which I haven’t replicated here.

Gibbs sampler in various languages (revisited)

Introduction

Regular readers of this blog will know that in April 2010 I published a short post showing how a trivial bivariate Gibbs sampler could be implemented in the four languages that I use most often these days (R, python, C, Java), and I discussed relative timings, and how one might start to think about trading off development time against execution time for more complex MCMC algorithms. I actually wrote the post very quickly one night while I was stuck in a hotel room in Seattle – I didn’t give much thought to it, and the main purpose was to provide simple illustrative examples of simple Monte Carlo codes using non-uniform random number generators in the different languages, as a starting point for someone thinking of switching languages (say, from R to Java or C, for efficiency reasons). It wasn’t meant to be very deep or provocative, or to start any language wars. Suffice to say that this post has had many more hits than all of my other posts combined, is still my most popular post, and still attracts comments and spawns other posts to this day. Several people have requested that I re-do the post more carefully, to include actual timings, and to include a few additional optimisations. Hence this post. For reference, the original post is here. A post about it from the python community is here, and a recent post about using Rcpp and inlined C++ code to speed up the R version is here.

The sampler

So, the basic idea was to construct a Gibbs sampler for the bivariate distribution

f(x,y) = kx^2\exp\{-xy^2-y^2+2y-4x\},\qquad x>0,y\in\Bbb{R}

with unknown normalising constant k>0 ensuring that the density integrates to one. Unfortunately, in the original post I dropped a factor of 2 constructing one of the full conditionals, which meant that none of the samplers actually had exactly the right target distribution (thanks to Sanjog Misra for bringing this to my attention). So actually, the correct full conditionals are

\displaystyle x|y \sim Ga(3,y^2+4)

\displaystyle y|x \sim N\left(\frac{1}{1+x},\frac{1}{2(1+x)}\right)

Note the factor of two in the variance of the full conditional for y. Given the full conditionals, it is simple to alternately sample from them to construct a Gibbs sampler for the target distribution. We will run a Gibbs sampler with a thin of 1000 and obtain a final sample of 50000.

Implementations

R

Let’s start with R again. The slightly modified version of the code from the old post is given below

gibbs=function(N,thin)
{
	mat=matrix(0,ncol=3,nrow=N)
	mat[,1]=1:N
	x=0
	y=0
	for (i in 1:N) {
		for (j in 1:thin) {
			x=rgamma(1,3,y*y+4)
			y=rnorm(1,1/(x+1),1/sqrt(2*x+2))
		}
		mat[i,2:3]=c(x,y)
	}
	mat=data.frame(mat)
	names(mat)=c("Iter","x","y")
	mat
}

writegibbs=function(N=50000,thin=1000)
{
	mat=gibbs(N,thin)
	write.table(mat,"data.tab",row.names=FALSE)
}

writegibbs()

I’ve just corrected the full conditional, and I’ve increased the sample size and thinning to 50k and 1k, respectively, to allow for more accurate timings (of the faster languages). This code can be run from the (Linux) command line with something like:

time Rscript gibbs.R

I discuss timings in detail towards the end of the post, but this code is slow, taking over 7 minutes on my (very fast) laptop. Now, the above code is typical of the way code is often structured in R – doing as much as possible in memory, and writing to disk only if necessary. However, this can be a bad idea with large MCMC codes, and is less natural in other languages, anyway, so below is an alternative version of the code, written in more of a scripting language style.

gibbs=function(N,thin)
{
	x=0
	y=0
        cat(paste("Iter","x","y","\n"))
	for (i in 1:N) {
		for (j in 1:thin) {
			x=rgamma(1,3,y*y+4)
			y=rnorm(1,1/(x+1),1/sqrt(2*x+2))
		}
		cat(paste(i,x,y,"\n"))
	}
}

gibbs(50000,1000)

This can be run with a command like

time Rscript gibbs-script.R > data.tab

This code actually turns out to be a slightly slower than the in-memory version for this simple example, but for larger problems I would not expect that to be the case. I always analyse MCMC output using R, whatever language I use for running the algorithm, so for completeness, here is a bit of code to load up the data file, do some plots and compute summary statistics.

fun=function(x,y)
{
	x*x*exp(-x*y*y-y*y+2*y-4*x)
}

compare<-function(file="data.tab")
{
	mat=read.table(file,header=TRUE)
	op=par(mfrow=c(2,1))
	x=seq(0,3,0.1)
	y=seq(-1,3,0.1)
	z=outer(x,y,fun)
	contour(x,y,z,main="Contours of actual (unnormalised) distribution")
	require(KernSmooth)
	fit=bkde2D(as.matrix(mat[,2:3]),c(0.1,0.1))
	contour(fit$x1,fit$x2,fit$fhat,main="Contours of empirical distribution")
	par(op)
	print(summary(mat[,2:3]))
}
compare()

Python

Another language I use a lot is Python. I don’t want to start any language wars, but I personally find python to be a better designed language than R, and generally much nicer for the development of large programs. A python script for this problem is given below

import random,math

def gibbs(N=50000,thin=1000):
    x=0
    y=0
    print "Iter  x  y"
    for i in range(N):
        for j in range(thin):
            x=random.gammavariate(3,1.0/(y*y+4))
            y=random.gauss(1.0/(x+1),1.0/math.sqrt(2*x+2))
        print i,x,y

gibbs()

It can be run with a command like

time python gibbs.py > data.tab

This code turns out to be noticeably faster than the R versions, taking around 4 minutes on my laptop (again, detailed timing information below). However, there is a project for python known as the PyPy project, which is concerned with compiling regular python code to very fast byte-code, giving significant speed-ups on certain problems. For this post, I downloaded and install version 1.5 of the 64-bit linux version of PyPy. Once installed, I can run the above code with the command

time pypy gibbs.py > data.tab

To my astonishment, this “just worked”, and gave very impressive speed-up over regular python, running in around 30 seconds. This actually makes python a much more realistic prospect for the development of MCMC codes than I imagined. However, I need to understand the limitations of PyPy better – for example, why doesn’t everyone always use PyPy for everything?! It certainly seems to make python look like a very good option for prototyping MCMC codes.

C

Traditionally, I have mainly written MCMC codes in C, using the GSL. C is a fast, efficient, statically typed language, which compiles to native code. In many ways it represents the “gold standard” for speed. So, here is the C code for this problem.

#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <gsl/gsl_rng.h>
#include <gsl/gsl_randist.h>

void main()
{
  int N=50000;
  int thin=1000;
  int i,j;
  gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937);
  double x=0;
  double y=0;
  printf("Iter x y\n");
  for (i=0;i<N;i++) {
    for (j=0;j<thin;j++) {
      x=gsl_ran_gamma(r,3.0,1.0/(y*y+4));
      y=1.0/(x+1)+gsl_ran_gaussian(r,1.0/sqrt(2*x+2));
    }
    printf("%d %f %f\n",i,x,y);
  }
}

It can be compiled and run with command like

gcc -O4 gibbs.c -lgsl -lgslcblas -lm -o gibbs
time ./gibbs > datac.tab

This runs faster than anything else I consider in this post, taking around 8 seconds.

Java

I’ve recently been experimenting with Java for MCMC codes, in conjunction with Parallel COLT. Java is a statically typed object-oriented (O-O) language, but is usually compiled to byte-code to run on a virtual machine (known as the JVM). Java compilers and virtual machines are very fast these days, giving “close to C” performance, but with a nicer programming language, and advantages associated with virtual machines. Portability is a huge advantage of Java. For example, I can easily get my Java code to run on almost any University Condor pool, on both Windows and Linux clusters – they all have a recent JVM installed, and I can easily bundle any required libraries with my code. Suffice to say that getting GSL/C code to run on generic Condor pools is typically much less straightforward. Here is the Java code:

import java.util.*;
import cern.jet.random.tdouble.*;
import cern.jet.random.tdouble.engine.*;

class Gibbs
{

    public static void main(String[] arg)
    {
	int N=50000;
	int thin=1000;
	DoubleRandomEngine rngEngine=new DoubleMersenneTwister(new Date());
	Normal rngN=new Normal(0.0,1.0,rngEngine);
	Gamma rngG=new Gamma(1.0,1.0,rngEngine);
	double x=0;
	double y=0;
	System.out.println("Iter x y");
	for (int i=0;i<N;i++) {
	    for (int j=0;j<thin;j++) {
		x=rngG.nextDouble(3.0,y*y+4);
		y=rngN.nextDouble(1.0/(x+1),1.0/Math.sqrt(2*x+2));
	    }
	    System.out.println(i+" "+x+" "+y);
	}
    }

}

It can be compiled and run with

javac Gibbs.java
time java Gibbs > data.tab

This takes around 11.6s seconds on my laptop. This is well within a factor of 2 of the C version, and around 3 times faster than even the PyPy python version. It is around 40 times faster than R. Java looks like a good choice for implementing MCMC codes that would be messy to implement in C, or that need to run places where it would be fiddly to get native codes to run.

Scala

Another language I’ve been taking some interest in recently is Scala. Scala is a statically typed O-O/functional language which compiles to byte-code that runs on the JVM. Since it uses Java technology, it can seamlessly integrate with Java libraries, and can run anywhere that Java code can run. It is a much nicer language to program in than Java, and feels more like a dynamic language such as python. In fact, it is almost as nice to program in as python (and in some ways nicer), and will run in a lot more places than PyPy python code. Here is the scala code (which calls Parallel COLT for random number generation):

object GibbsSc {

	import cern.jet.random.tdouble.engine.DoubleMersenneTwister
	import cern.jet.random.tdouble.Normal
	import cern.jet.random.tdouble.Gamma
	import Math.sqrt
 	import java.util.Date

	def main(args: Array[String]) {
		val N=50000
		val thin=1000
		val rngEngine=new DoubleMersenneTwister(new Date)
		val rngN=new Normal(0.0,1.0,rngEngine)
		val rngG=new Gamma(1.0,1.0,rngEngine)
		var x=0.0
		var y=0.0
		println("Iter x y")
		for (i <- 0 until N) {
			for (j <- 0 until thin) {
				x=rngG.nextDouble(3.0,y*y+4)
				y=rngN.nextDouble(1.0/(x+1),1.0/sqrt(2*x+2))
			}
			println(i+" "+x+" "+y)
		}
	}

}

It can be compiled and run with

scalac GibbsSc.scala
time scala GibbsSc > data.tab

This code takes around 11.8s on my laptop – almost as fast as the Java code! So, on the basis of this very simple and superficial example, it looks like scala may offer the best of all worlds – a nice, elegant, terse programming language, functional and O-O programming styles, the safety of static typing, the ability to call on Java libraries, great speed and efficiency, and the portability of Java! Very interesting.

Groovy

James Durbin has kindly sent me a Groovy version of the code, which he has also discussed in his own blog post. Groovy is a dynamic O-O language for the JVM, which, like Scala, can integrate nicely with Java applications. It isn’t a language I have examined closely, but it seems quite nice. The code is given below:

import cern.jet.random.tdouble.engine.*;
import cern.jet.random.tdouble.*;

N=50000;
thin=1000;
rngEngine= new DoubleMersenneTwister(new Date());
rngN=new Normal(0.0,1.0,rngEngine);
rngG=new Gamma(1.0,1.0,rngEngine);
x=0.0;
y=0.0;
println("Iter x y");
for(i in 1..N){
	for(j in 1..thin){
		x=rngG.nextDouble(3.0,y*y+4);
		y=rngN.nextDouble(1.0/(x+1),1.0/Math.sqrt(2*x+2));
	}
	println("$i $x $y");
}

It can be run with a command like:

time groovy Gibbs.gv > data.tab

Again, rather amazingly, this code runs in around 35 seconds – very similar to the speed of PyPy. This makes Groovy also seem like a potential very attractive environment for prototyping MCMC codes, especially if I’m thinking about ultimately porting to Java.

Timings

The laptop I’m running everything on is a Dell Precision M4500 with an Intel i7 Quad core (x940@2.13Ghz) CPU, running the 64-bit version of Ubuntu 11.04. I’m running stuff from the Ubuntu (Unity) desktop, and running several terminals and applications, but the machine is not loaded at the time each job runs. I’m running each job 3 times and taking the arithmetic mean real elapsed time. All timings are in seconds.

R 2.12.1 (in memory) 435.0
R 2.12.1 (script) 450.2
Python 2.7.1+ 233.5
PyPy 1.5 32.2
Groovy 1.7.4 35.4
Java 1.6.0 11.6
Scala 2.7.7 11.8
C (gcc 4.5.2) 8.1

If we look at speed-up relative to the R code (in-memory version), we get:

R (in memory) 1.00
R (script) 0.97
Python 1.86
PyPy 13.51
Groovy 12.3
Java 37.50
Scala 36.86
C 53.70

Alternatively, we can look at slow-down relative to the C version, to get:

R (in memory) 53.7
R (script) 55.6
Python 28.8
PyPy 4.0
Groovy 4.4
Java 1.4
Scala 1.5
C 1.0

Discussion

The findings here are generally consistent with those of the old post, but consideration of PyPy, Groovy and Scala does throw up some new issues. I was pretty stunned by PyPy. First, I didn’t expect that it would “just work” – I thought I would either have to spend time messing around with my configuration settings, or possibly even have to modify my code slightly. Nope. Running python code with pypy appears to be more than 10 times faster than R, and only 4 times slower than C. I find it quite amazing that it is possible to get python code to run just 4 times slower than C, and if that is indicative of more substantial examples, it really does open up the possibility of using python for “real” problems, although library coverage is currently a problem. It certainly solves my “prototyping problem”. I often like to prototype algorithms in very high level dynamic languages like R and python before porting to a more efficient language. However, I have found that this doesn’t always work well with complex MCMC codes, as they just run too slowly in the dynamic languages to develop, test and debug conveniently. But it looks now as though PyPy should be fast enough at least for prototyping purposes, and may even be fast enough for production code in some circumstances. But then again, exactly the same goes for Groovy, which runs on the JVM, and can access any existing Java library… I haven’t yet looked into Groovy in detail, but it appears that it could be a very nice language for prototyping algorithms that I intend to port to Java.

The results also confirm my previous findings that Java is now “fast enough” that one shouldn’t worry too much about the difference in speed between it and native code written in C (or C++). The Java language is much nicer than C or C++, and the JVM platform is very attractive in many situations. However, the Scala results were also very surprising for me. Scala is a really elegant language (certainly on a par with python), comes with all of the advantages of Java, and appears to be almost as fast as Java. I’m really struggling to come up with reasons not to use Scala for everything!

Speeding up R

MCMC codes are used by a range of different scientists for a range of different problems. However, they are very (most?) often used by Bayesian statisticians who use the algorithms to target a Bayesian posterior distribution. For various (good) reasons, many statisticians are heavily invested in R, like to use R as much as possible, and do as much as possible from within the R environment. These results show why R is not a good language in which to implement MCMC algorithms, so what is an R-dependent statistician supposed to do? One possibility would be to byte-code compile R code in an analogous way to python and pypy. The very latest versions of R support such functionality, but the post by Dirk Eddelbuettel suggests that the current version of cmpfun will only give a 40% speedup on this problem, which is still slower than regular python code. Short of a dramatic improvement in this technology, the only way forward seems to be to extend R using code from another language. It is easy to extend R using C, C++ and Java. I have shown in previous posts how to do this using Java and using C, and the recent post by Dirk shows how to extend using C++. Although interesting, this doesn’t really have much bearing on the current discussion. If you extend using Java you get Java-like speedups, and if you extend using C you get C-like speedups. However, in case people are interested, I intend to gather up these examples into one post and include detailed timing information in a subsequent post.

Calling Java code from R

Introduction

In the previous post I looked at some simple methods for calling C code from R using a simple Gibbs sampler as the motivating example. In this post we will look again at the same Gibbs sampler, but now implemented in Java, and look at a couple of options for calling that code from an R session.

Stand-alone Java code

Below is some Java code for implementing the bivariate Gibbs sampler discussed previously. It relies on Parallel COLT, which must be installed and in the Java CLASSPATH in order to follow the examples.

import java.util.*;
import cern.jet.random.tdouble.*;
import cern.jet.random.tdouble.engine.*;

class Gibbs
{

    public static void main(String[] arg)
    {
	if (arg.length != 3) {
            System.err.println("Usage: java Gibbs <Iters> <Thin> <Seed>");
            System.exit(1);  
        }
	int N=Integer.parseInt(arg[0]);
	int thin=Integer.parseInt(arg[1]);
	int seed=Integer.parseInt(arg[2]);
	DoubleRandomEngine rngEngine=new DoubleMersenneTwister(seed);
	Normal rngN=new Normal(0.0,1.0,rngEngine);
	Gamma rngG=new Gamma(1.0,1.0,rngEngine);
	double x=0,y=0;
	System.out.println("Iter x y");
	for (int i=0;i<N;i++) {
	    for (int j=0;j<thin;j++) {
		x=rngG.nextDouble(3.0,y*y+4);
		y=rngN.nextDouble(1.0/(x+1),1.0/Math.sqrt(x+1));
	    }
	    System.out.println(i+" "+x+" "+y);
	}
    }

}

It can be compiled and run stand-alone from an OS shell with the following commands:

javac Gibbs.java
java Gibbs 10 1000 1

As discussed in the previous post, it is possible to call any command-line program from inside an R session using the system() command. A small wrapper function for conveniently running this code from within R can be written as follows.

gibbs<-function(N=10000,thin=500,
             seed=trunc(runif(1)*1e6),
             exec="Gibbs",
             tmpfile=tempfile())
{
  command=paste("java",exec,N,thin,seed,">",tmpfile)
  system(command)
  read.table(tmpfile,header=TRUE)
}

This can then be run from within an R session with a simple call to gibbs(). Note that a random seed is being generated within R to be passed to the Java code to be used to seed the COLT random number generator used within the Java code. As previously discussed, for many long running codes, this approach can be quite effective, and is clearly very simple. However, there is an overhead associated with the system() call, and also with writing output to disk and then reading it back again.

Using rJava

It is possible to avoid the overheads associated with the above approach by directly calling the Java code from R and having the return values returned directly into the R session from memory. There isn’t really direct support for this within the core R language, but there are couple of different solutions provided by R packages. The simplest and most popular approach seems to be the rJava package. This package can be installed with a simple

install.packages("rJava")

This should “just work” on some OSs (eg. Windows), but may fail on other OSs if R is not aware of the local Java environment. If the installation fails, check the error message carefully for advice/instructions. On most Linux systems, the problem can be fixed by quitting R, then running the following command from the shell

sudo R CMD javareconf

before re-starting R and re-attempting the installation. rJava provides a mechanism for starting a JVM within the running R session, creating objects, calling methods and having method return values returned to R. It is actually much more flexible than the .C() function for C code discussed in the previous post.

In order to use this package for our example, we must first re-factor the code slightly in the following way.

import java.util.*;
import cern.jet.random.tdouble.*;
import cern.jet.random.tdouble.engine.*;

class GibbsR
{

    public static void main(String[] arg)
    {
	if (arg.length != 3) {
            System.err.println("Usage: java GibbsR <Iters> <Thin> <Seed>");
            System.exit(1);  
        }
	int N=Integer.parseInt(arg[0]);
	int thin=Integer.parseInt(arg[1]);
	int seed=Integer.parseInt(arg[2]);
	double[][] mat=gibbs(N,thin,seed);
	System.out.println("Iter x y");
	for (int i=0;i<N;i++) {
	    System.out.println(""+i+" "+mat[0][i]+" "+mat[1][i]);
	}	
    }

    public static double[][] gibbs(int N,int thin,int seed)
    {
	DoubleRandomEngine rngEngine=new DoubleMersenneTwister(seed);
	Normal rngN=new Normal(0.0,1.0,rngEngine);
	Gamma rngG=new Gamma(1.0,1.0,rngEngine);
	double x=0,y=0;
	double[][] mat=new double[2][N];
	for (int i=0;i<N;i++) {
	    for (int j=0;j<thin;j++) {
		x=rngG.nextDouble(3.0,y*y+4);
		y=rngN.nextDouble(1.0/(x+1),1.0/Math.sqrt(x+1));
	    }
	    mat[0][i]=x; mat[1][i]=y;
	}
	return mat;
    }

}

This code can be compiled and run from the command-line just as the previous code could.

javac GibbsR.java
java GibbsR 10 1000 1

However, we have now separated out the code we want to be able to call from R into a static method called gibbs, which runs the Gibbs sampler and stores the result in a 2-dimensional array which is its return value. We can now see how to call this code from within a running R session. We first need to set up the R environment ready to call the code.

library(rJava)
.jinit()
obj=.jnew("GibbsR")

Line 1 loads the package, line 2 starts up the JVM, and line 3 creates a link to the the GibbsR class (in general this is used to create a new Java object of the given type, but here we are using static methods). Java methods are called on Java objects using .jcall(). We can write a simple R function to conveniently call the method as follows.

jgibbs<-function(N=10000,thin=500,seed=trunc(runif(1)*1e6))
{
    result=.jcall(obj,"[[D","gibbs",as.integer(N),as.integer(thin),as.integer(seed))
    mat=sapply(result,.jevalArray)
    mat=cbind(1:N,mat)
    colnames(mat)=c("Iter","x","y")
    mat
}

This can now be called with a simple jgibbs(). The first line of the function body carries out the actual method call. The return type of the method must be explicitly declared – “[[D” means a 2-dimensional array of doubles, using JNI notation. Care must also be taken to coerce the method parameters into the correct type that the Java method expects to receive. .jcall() is generally quite good at unpacking basic Java types into corresponding R types. However, the two dimensional array is here returned as an R list consisting of one-dimensional Java array objects. The unpacking is completed using the subsequent call to jevalArray() using sapply(), before the resulting matrix is tidied up and returned to the R session.

Summary and further reading

We have looked at a couple of very simple methods for calling Java code from an R session. The rJava package is a very flexible mechanism for integrating Java code into R.

I haven’t found a lot of tutorial-level material on the web for the rJava package. However, the package itself has very good documentation associated with it. Start with the information on the rJava home page. From an R session with the rJava package loaded, help(package="rJava") lists the available functions, all of which have associated documentation. ?.jinit, ?.jnew, ?.jcall and ?.jevalArray provide further background and information on the example covered here.

After that, the source code of R packages which use rJava are a useful source of further inspiration – look at the reverse-depends list for rJava in CRAN. In particular, the helloJavaWorld package is a tutorial for how to include Java code in an R package (read the associated vignette).