function r = circ_dist2(x,y) % % r = circ_dist(alpha, beta) % All pairwise difference x_i-y_j around the circle computed efficiently. % % Input: % alpha sample of linear random variable % beta sample of linear random variable % % Output: % r matrix with pairwise differences % % References: % Biostatistical Analysis, J. H. Zar, p. 651 % % PHB 3/19/2009 % % Circular Statistics Toolbox for Matlab % By Philipp Berens, 2009 % berens@tuebingen.mpg.de - www.kyb.mpg.de/~berens/circStat.html if nargin < 2 y = x; end if size(x,2)>size(x,1) x = x'; end if size(y,2)>size(y,1) y = y'; end r = angle(repmat(exp(1i*x),1,length(y)) ... ./ repmat(exp(1i*y'),length(x),1));