diff -r c46b3453455f -r 5d4decd1b870 lemon/random.h --- a/lemon/random.h Thu Feb 28 17:06:02 2008 +0100 +++ b/lemon/random.h Fri Mar 14 16:57:49 2008 +0000 @@ -803,6 +803,29 @@ return exponential(gamma(k,1.0/x_min)); } + /// Poisson distribution + + /// This function generates a Poisson distribution random number with + /// parameter \c lambda. + /// + /// The probability mass function of this distribusion is + /// \f[ \frac{e^{-\lambda}\lambda^k}{k!} \f] + /// \note The algorithm is taken from the book of Donald E. Knuth titled + /// ''Seminumerical Algorithms'' (1969). Its running time is linear in the + /// return value. + + int poisson(double lambda) + { + const double l = std::exp(-lambda); + int k=0; + double p = 1.0; + do { + k++; + p*=real(); + } while (p>=l); + return k-1; + } + ///@} ///\name Two dimensional distributions