function f=prect(L,n)
%PRECT Periodic rectangle
% Usage: f=prect(L,n);
%
% psinc(L,n) computes the periodic rectangle (or square) function of
% length L supported on n samples. The DFT of the periodic
% rectangle function in the periodic sinc function, PSINC.
%
% If n is odd, the output will be supported on exactly n samples
% centered around the first sample.
%
% If n is even, the output will be supported on exactly n+1 samples
% centered around the first sample. The function value on the two
% samples on the edge of the function will have half the magnitude of
% the other samples.
%
% Examples:
% ---------
%
% This figure displays an odd length periodic rectangle:
%
% stem(prect(30,11));
% ylim([-.2 1.2]);
%
% This figure displays an even length periodic rectangle. Notice the
% border points:
%
% stem(prect(30,12));
% ylim([-.2 1.2]);
%
% See also: psinc
%
% Url: http://ltfat.github.io/doc/fourier/prect.html
% Copyright (C) 2005-2023 Peter L. Soendergaard <peter@sonderport.dk> and others.
% This file is part of LTFAT version 2.6.0
%
% 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 3 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, see <http://www.gnu.org/licenses/>.
complainif_argnonotinrange(nargin,2,2,mfilename);
if ~(numel(L)==1) || ~(isnumeric(L)) || mod(L,1)~=0 || L<=0
error('%s: L has to be a positive integer.',upper(mfilename));
end;
if ~(numel(n)==1) || ~(isnumeric(L)) || mod(n,1)~=0 || n<=0
error('%s: n has to be a positive integer.',upper(mfilename));
end;
f=pbspline(L,0,n);