/*
Copyright � 1999 CERN - European Organization for Nuclear Research.
Permission to use, copy, modify, distribute and sell this software and its documentation for any purpose
is hereby granted without fee, provided that the above copyright notice appear in all copies and
that both that copyright notice and this permission notice appear in supporting documentation.
CERN makes no representations about the suitability of this software for any purpose.
It is provided "as is" without expressed or implied warranty.
*/
package sim.util.distribution;
import ec.util.MersenneTwisterFast;
/**
* Exponential Distribution (aka Negative Exponential Distribution); See the <A HREF="http://www.cern.ch/RD11/rkb/AN16pp/node78.html#SECTION000780000000000000000"> math definition</A>
* <A HREF="http://www.statsoft.com/textbook/glose.html#Exponential Distribution"> animated definition</A>.
* <p>
* <tt>p(x) = lambda*exp(-x*lambda)</tt> for <tt>x >= 0</tt>, <tt>lambda > 0</tt>.
* <p>
* Instance methods operate on a user supplied uniform random number generator; they are unsynchronized.
* <dt>
* Static methods operate on a default uniform random number generator; they are synchronized.
* <p>
*
* @author wolfgang.hoschek@cern.ch
* @version 1.0, 09/24/99
*/
public class Exponential extends AbstractContinousDistribution {
private static final long serialVersionUID = 1;
protected double lambda;
/**
* Constructs a Negative Exponential distribution.
*/
public Exponential(double lambda, MersenneTwisterFast randomGenerator) {
setRandomGenerator(randomGenerator);
setState(lambda);
}
/**
* Returns the cumulative distribution function.
*/
public double cdf(double x) {
if (x <= 0.0) return 0.0;
return 1.0 - Math.exp(-x * lambda);
}
/**
* Returns a random number from the distribution.
*/
public double nextDouble() {
return nextDouble(lambda);
}
/**
* Returns a random number from the distribution; bypasses the internal state.
*/
public double nextDouble(double lambda) {
return - Math.log(randomGenerator.nextDouble()) / lambda;
}
/**
* Returns the probability distribution function.
*/
public double pdf(double x) {
if (x < 0.0) return 0.0;
return lambda*Math.exp(-x*lambda);
}
/**
* Sets the mean.
*/
public void setState(double lambda) {
this.lambda = lambda;
}
/**
* Returns a String representation of the receiver.
*/
public String toString() {
return this.getClass().getName()+"("+lambda+")";
}
}