moment_factorial_from_raw.h File Reference

Factorial moments from raw moments, via the signed Stirling table. 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_stirling1.h"

Include dependency graph for moment_factorial_from_raw.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_factorial_from_raw (const std::vector< T > &m)
	f = s * m, with s the signed Stirling numbers of the first kind.

Detailed Description

Factorial moments from raw moments, via the signed Stirling table.

Templated port of matlab/src/api/moment/moment_factorial_from_raw.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_factorial_from_raw.h.