📄 mod.m
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function [z,e] = mod(x,y)
% MOD(x,y) calculates Modules Y from X
%
% z = x - y * floor(x/y);
% e = eps * floor(x/y);
%
% [z,e] = MOD(X,Y)
% z is the modulus of Y for X
% e is the error tolerance, for checking the accuracy
% z(e > abs(y)) is not defined
%
% z has always the same sign than y
%
% see also: REM
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either version 2 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program; if not, write to the Free Software
% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
% $Revision: 1.3 $
% $Id: mod.m,v 1.3 2004/02/11 17:49:44 schloegl Exp $
% Copyright (c) 2004 by Alois Schloegl <a.schloegl@ieee.org>
% This function is part of the NaN-toolbox
% http://www.dpmi.tu-graz.ac.at/~schloegl/matlab/NaN/
s = warning;
warning('off');
if all(size(x)==1)
x = repmat(x,size(y));
end;
if all(size(y)==1)
y = repmat(y,size(x));
end;
if any(size(x)~=size(y)),
error('Size if input arguments do not fit.\n');
end;
t = floor(x./y);
z = x - y.*t;
z(~t) = x(~t); % remainder is x if y = inf
z(~y) = 0; % remainder must be 0 if y==0
warning(s); % reset warning status
if nargout > 1,
e = (abs(t)*eps); % error interval
%z(e > abs(y)) = NaN; % uncertainty of rounding error to large
end;
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