moment_raw_from_factorial.h File Reference

Raw moments from factorial moments, via the Stirling table of the second kind. More...

#include <vector>
#include "line/num/number.h"
#include "line/util/error.h"
#include "line/util/matrix.h"
#include "line/util/population.h"
#include "line/api/moment/moment_apply.h"
#include "line/api/moment/moment_stirling2.h"

Include dependency graph for moment_raw_from_factorial.h:

Go to the source code of this file.

Namespaces
namespace	line
namespace	line::moment

Functions
template<class T>
std::vector< T >	line::moment::moment_raw_from_factorial (const std::vector< T > &f)
	m = S * f.

Detailed Description

Raw moments from factorial moments, via the Stirling table of the second kind.

Templated port of matlab/src/api/moment/moment_raw_from_factorial.m. Every operation is integer or rational, so the exact instantiation returns the transform with no rounding at all. That matters more here than almost anywhere else in the API: the alternating binomial sums of the moment conversions cancel catastrophically in double arithmetic once the order grows.

Definition in file moment_raw_from_factorial.h.