dataset.h File Reference

Operations on datasets. More...

#include <sstream>
#include <ostream>
#include "./core_traits.h"
#include "./constants.h"
#include "./error.h"

Go to the source code of this file.

Namespaces
namespace	theoretica
	Main namespace of the library which contains all functions and objects.

Functions
template<typename Vector , enable_vector< Vector > = true>
auto	theoretica::product (const Vector &X)
	Compute the product of a set of values.
template<typename Vector >
auto	theoretica::product_sum (const Vector &X, const Vector &Y)
	Sum the products of two sets of values.
template<typename Vector >
auto	theoretica::product_sum_squares (const Vector &X, const Vector &Y)
	Sum the products of the squares of two sets of data.
template<typename Vector >
auto	theoretica::product_sum (const Vector &X, const Vector &Y, const Vector &Z)
	Sum the products of three sets of values.
template<typename Vector >
auto	theoretica::quotient_sum (const Vector &X, const Vector &Y)
	Sum the quotients of two sets of values.
template<typename Vector >
auto	theoretica::sum_squares (const Vector &X)
	Sum the squares of a set of values.
template<typename Vector >
real	theoretica::sum_compensated (const Vector &X)
	Compute the sum of a set of values using the compensated Neumaier-Kahan-Babushka summation algorithm to reduce round-off error.
template<typename Vector >
real	theoretica::sum_pairwise (const Vector &X, size_t begin=0, size_t end=0, size_t base_size=128)
	Compute the sum of a set of values using pairwise summation to reduce round-off error.
template<typename Vector , std::enable_if_t< has_real_elements< Vector >::value > = true>
auto	theoretica::sum (const Vector &X)
	Compute the sum of a vector of real values using pairwise summation to reduce round-off error.
template<typename Vector >
auto	theoretica::sum (const Vector &X)
	Compute the sum of a set of values.
template<typename Vector , typename Function >
Vector &	theoretica::apply (Function f, Vector &X)
	Apply a function to a set of values element-wise.
template<typename Vector1 , typename Vector2 = Vector1, typename Function >
Vector2 &	theoretica::map (Function f, const Vector1 &src, Vector2 &dest)
	Get a new vector obtained by applying the function element-wise.
template<typename Vector2 , typename Vector1 , typename Function >
Vector2	theoretica::map (Function f, const Vector1 &X)
	Get a new vector obtained by applying the function element-wise.
template<typename Vector , typename Function >
Vector	theoretica::map (Function f, const Vector &X)
	Get a new vector obtained by applying the function element-wise.
template<typename Vector1 , typename Vector2 , typename Vector3 = Vector1>
Vector3	theoretica::concatenate (const Vector1 &v1, const Vector2 &v2)
	Concatenate two datasets to form a single one.
template<typename Vector >
auto	theoretica::max (const Vector &X)
	Finds the maximum value inside a dataset.
template<typename Vector >
auto	theoretica::min (const Vector &X)
	Finds the minimum value inside a dataset.
template<typename Dataset >
real	theoretica::arithmetic_mean (const Dataset &data)
	Compute the arithmetic mean of a set of values.
template<typename Dataset >
real	theoretica::harmonic_mean (const Dataset &data)
	Compute the harmonic mean of a set of values.
template<typename Dataset >
real	theoretica::geometric_mean (const Dataset &data)
	Compute the geometric mean of a set of values as \(\sqrt[n]{\Pi_i x_i}\).
template<typename Dataset1 , typename Dataset2 >
real	theoretica::weighted_mean (const Dataset1 &data, const Dataset2 &weights)
	Compute the weighted mean of a set of values <data> and <weights> must have the same size.
template<typename Dataset >
real	theoretica::quadratic_mean (const Dataset &data)
	Compute the quadratic mean (Root Mean Square) of a set of values \(m_q = \sqrt{x1^2 + x2^2 + ...}\).

Detailed Description

Operations on datasets.