moment_binotransinv.h File Reference

Inverse binomial transform. More...

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

Include dependency graph for moment_binotransinv.h:

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Namespaces
namespace	line
namespace	line::moment

Functions
template<class T>
std::vector< T >	line::moment::moment_binotransinv (const std::vector< T > &y)
	x_i = sum_k C(i,k) y_k.

Detailed Description

Inverse binomial transform.

Templated port of matlab/src/api/moment/moment_binotransinv.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_binotransinv.h.