round2dn(X)

function Y = round2dn(X)
% Round towards the nearest integer (asymmetric rounding / round half down)
%
% (c) 2013 Stephen Cobeldick
%
% Rounds the elements of X to the nearest integers. X may be an N-D matrix.
% Elements with a fraction of 0.5 round down to the next integer (towards -Inf).
% For complex X, the imaginary and real parts are rounded independently.
%
% Syntax:
%  Y = round2dn(X)
%
% See also ROUND2UP ROUND2EV ROUND2OD ROUND2RA ROUND2ZE ROUND2SF ROUND2DP PREFNUM DATEROUND ROUND
%
% Note 1: Known as asymmetric rounding or round half towards minus infinity.

if isreal(X)
    Z = rem(X,1);
    Z(Z~=0.5) = 0;
else
    R = rem(real(X),1);
    J = rem(imag(X),1);
    R(R~=0.5) = 0;
    J(J~=0.5) = 0;
    Z = complex(R,J);
end
Y = round(X-Z);
%----------------------------------------------------------------------End!