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Diffstat (limited to 'gi/pyp-topics/src/gammadist.h')
-rw-r--r-- | gi/pyp-topics/src/gammadist.h | 72 |
1 files changed, 72 insertions, 0 deletions
diff --git a/gi/pyp-topics/src/gammadist.h b/gi/pyp-topics/src/gammadist.h new file mode 100644 index 00000000..b6ad6c40 --- /dev/null +++ b/gi/pyp-topics/src/gammadist.h @@ -0,0 +1,72 @@ +/* gammadist.h -- computes probability of samples under / produces samples from a Gamma distribution + * + * Mark Johnson, 22nd March 2008 + * + * gammavariate() was translated from random.py in Python library + * + * The Gamma distribution is: + * + * Gamma(x | alpha, beta) = pow(x/beta, alpha-1) * exp(-x/beta) / (gamma(alpha)*beta) + * + * shape parameter alpha > 0 (also called c), scale parameter beta > 0 (also called s); + * mean is alpha*beta, variance is alpha*beta**2 + * + * Note that many parameterizations of the Gamma function are in terms of an _inverse_ + * scale parameter beta, which is the inverse of the beta given here. + */ + +#ifndef GAMMADIST_H +#define GAMMADIST_H + +#ifdef __cplusplus +extern "C" { +#endif + + /* gammadist() returns the probability density of x under a Gamma(alpha,beta) + * distribution + */ + + long double gammadist(long double x, long double alpha, long double beta); + + /* lgammadist() returns the log probability density of x under a Gamma(alpha,beta) + * distribution + */ + + long double lgammadist(long double x, long double alpha, long double beta); + + /* gammavariate() generates samples from a Gamma distribution + * conditioned on the parameters alpha and beta. + * + * alpha > 0, beta > 0, mean is alpha*beta, variance is alpha*beta**2 + * + * Warning: a few older sources define the gamma distribution in terms + * of alpha > -1.0 + */ + + long double gammavariate(long double alpha, long double beta); + + /* betadist() returns the probability density of x under a Beta(alpha,beta) + * distribution. + */ + + long double betadist(long double x, long double alpha, long double beta); + + /* lbetadist() returns the log probability density of x under a Beta(alpha,beta) + * distribution. + */ + + long double lbetadist(long double x, long double alpha, long double beta); + + /* betavariate() generates a sample from a Beta distribution with + * parameters alpha and beta. + * + * 0 < alpha < 1, 0 < beta < 1, mean is alpha/(alpha+beta) + */ + + long double betavariate(long double alpha, long double beta); + +#ifdef __cplusplus +}; +#endif + +#endif /* GAMMADIST_H */ |