# [R] hard to believe speed difference

Jason Liao jg_liao at yahoo.com
Tue Aug 6 22:12:40 CEST 2002

```First, I love R and am grateful to be using this free and extremely
high quality software.

Recently I have been comparing two algorithms and naturally I
programmed in R first. It is so slow that I can almost feel its pain.
So I decided to do a comparison with Java. To draw 500,0000 truncated
normal, Java program takes 2 second and R takes 72 seconds. Not a
computer science major, I find it hard to understand how R can be so
slow.

R code:

normal.truncated <- function(mean, sd, lower, upper)
{
repeat
{
deviate = round( rnorm(1, mean, sd) );
if(deviate<=upper && deviate>=lower) break;
}
temp <- c(deviate+.5, deviate-.5, upper+.5, lower-.5);
result <- pnorm(temp, mean, sd);
prob <- (result[1] - result[2])/(result[3] - result[4]);

return(c(deviate, prob));
}

print(date());

n = 500000;
result = numeric(n);

for(i in 1:n) result[i] = normal.truncated(0,1, -10, 10)[1]
print(date());

Java Code:

package Mcdonald;
import VisualNumerics.math.*;
import java.util.*;

public final class normal_univariate_truncated
{
public double harvest, prob;
static Random ran_obj = new Random();

public normal_univariate_truncated(double mean, double var,
double lower, double upper)
{
double sd = Math.sqrt(var);

lower -= .5;
upper += .5;
double left = (lower - mean)/sd;
double right = (upper - mean)/sd;
double prob2 = Statistics.normalCdf(right) -
Statistics.normalCdf(left);

while(true)
{
harvest = mean + ran_obj.nextGaussian()*sd;
if(harvest>lower && harvest<upper) break;
}

harvest = Sfun.nearestInteger(harvest);
left = (harvest - .5 - mean)/sd;
right = (harvest + .5 - mean)/sd;
double prob1 = Statistics.normalCdf(right) -
Statistics.normalCdf(left);

prob = prob1/prob2;
}

public static void main(String[] useless)
{
System.out.println(new Date());
int n = 500000;
double[] result = new double[n];
for(int i=0; i<n; i++)
{
normal_univariate_truncated obj = new
normal_univariate_truncated(0, 1, -10, 10);
result[i] = obj.harvest;
}
System.out.println(new Date());
}

}

=====
Jason G. Liao, Ph.D.
Division of Biometrics
University of Medicine and Dentistry of New Jersey
335 George Street, Suite 2200
New Brunswick, NJ 08903-2688
phone (732) 235-8611, fax (732) 235-9777
http://www.geocities.com/jg_liao

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```