Calculates the Euclidean distance between elements of two ranges. More...

#include <yat/statistics/EuclideanDistance.h>

Inheritance diagram for theplu::yat::statistics::EuclideanDistance:

Public Member Functions
double	operator() (Iterator1 beg1, Iterator1 end1, Iterator2 beg2) const

Friends
class	Distance< EuclideanDistance >

Detailed Description

Calculates the Euclidean distance between elements of two ranges.

If elements of both ranges are unweighted the distance is calculated as $\sqrt{\sum (x_i-y_i)^2 }$ , where $ x_i $ and $ y_i $ are elements of the first and second range, respectively.

If elements of one or both of ranges have weights the distance is calculated as $\sqrt{N \sum w_{x,i}w_{y,i}(x_i-y_i)^2/\sum w_{x,i}w_{y,i}}$ , where $ N $ is the number of elements in the two ranges and $ w_x $ and $ w_y $ are weights for the elements of the first and the second range, respectively. If the elements of one of the two ranges are unweighted, the weights for these elements are set to unity.