function d=jacob_element(func,element,args)
% function d=jacob_element(func,element,args)
% returns an entry of the finite differences approximation to the jacobian of func
%
% INPUTS
%    func       [function name]    string with name of the function
%    element    [int]              the index showing the element within the jacobian that should be returned
%    args       [cell array]       arguments provided to func
%
% OUTPUTS
%    d          [double]           jacobian[element]
%
% SPECIAL REQUIREMENTS
%    none

% Copyright © 2010-2020 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/>.

assert(element <= length(args));

func = str2func(func);

h=1e-6;
margs=args;

args{element} = args{element} + h;
margs{element} = margs{element} - h;

d=(func(args{:})-func(margs{:}))/(2*h);
end