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function [fval, fjac] = discreteboundaryvalue(x)
% Copyright © 2021 Dynare Team
%
% This file is part of Dynare.
%
% Dynare 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.
%
% Dynare 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 Dynare. If not, see <https://www.gnu.org/licenses/>.
n = length(x);
if isnumeric(x) && isvector(x) && all(~isnan(x))
fval = zeros(n, 1);
h = 1.0/(n+1);
hh = h*h;
for k=1:n
tmp = (x(k)+k*h+1)^3;
tmp1 = 0;
if k~=1
tmp1 = x(k-1);
end
tmp2 = 0;
if k~=n
tmp2 = x(k+1);
end
fval(k) = 2*x(k)-tmp1-tmp2+tmp*hh/2;
end
if nargout>1
fjac = zeros(n);
h = 1/(n+1);
hh = h*h;
for k=1:n
tmp = 3*(x(k)+k*h+1)^2;
fjac(k,k) = 2+tmp*hh/2;
if k~=1
fjac(k,k-1) = -1;
end
if k~=n
fjac(k,k+1) = -1;
end
end
end
elseif isnumeric(x) && isvector(x) && all(isnan(x))
if nargout==1
h = 1.0/(n+1);
fval = zeros(n, 1);
for j=1:n
tj = j*h;
fval(j) = tj*(tj-1);
end
else
error('One output is required for initialization mode.')
end
else
error('Wrong input argument.')
end
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