binomial.hpp

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#ifndef GENESIS_UTILS_MATH_BINOMIAL_H_
#define GENESIS_UTILS_MATH_BINOMIAL_H_
 
/*
    Genesis - A toolkit for working with phylogenetic data.
    Copyright (C) 2014-2023 Lucas Czech
 
    This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
 
    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.
 
    You should have received a copy of the GNU General Public License
    along with this program.  If not, see <http://www.gnu.org/licenses/>.
 
    Contact:
    Lucas Czech <lczech@carnegiescience.edu>
    Department of Plant Biology, Carnegie Institution For Science
    260 Panama Street, Stanford, CA 94305, USA
*/
 
#include <cmath>
#include <cstdint>
 
namespace genesis {
namespace utils {
 
// =================================================================================================
//     Binomial Functions
// =================================================================================================
 
double log_factorial( size_t n );
 
size_t binomial_coefficient_int( size_t n, size_t k );
 
double log_binomial_coefficient( size_t n, size_t k );
 
inline double binomial_coefficient( size_t n, size_t k )
{
    return std::exp( log_binomial_coefficient( n, k ));
}
 
double log_binomial_distribution( size_t k, size_t n, double p );
 
inline double binomial_distribution( size_t k, size_t n, double p )
{
    return std::exp( log_binomial_distribution( k, n, p ));
}
 
} // namespace utils
} // namespace genesis
 
#endif // include guard