/usr/share/dynare/matlab/numgrad5_.m is in dynare-common 4.4.1-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 | function [g, badg, f0, f1, f2, f3, f4] = numgrad5(fcn,f0,x,epsilon,varargin)
% Computes the gradient of the objective function fcn using a five points
% formula if possible.
%
% Adapted from Sims' numgrad.m routine.
%
% See section 25.3.6 Abramovitz and Stegun (1972, Tenth Printing, December) Handbook of Mathematical Functions.
% http://www.math.sfu.ca/~cbm/aands/
%
% TODO Try Four points formula when cost_flag3=0 or cost_flag4=0.
% Original file downloaded from:
% http://sims.princeton.edu/yftp/optimize/mfiles/numgrad.m
% Copyright (C) 1993-2007 Christopher Sims
% Copyright (C) 2008-2012 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 <http://www.gnu.org/licenses/>.
delta = epsilon;
n = length(x);
g = zeros(n,1);
badg = 0;
scale = []; % ones(n,1);
for i=1:n
xiold = x(i);
h = step_length_correction(xiold,scale,i)*delta;
x(i) = xiold+h;
[f1,junk1,junk2,cost_flag1] = feval(fcn, x, varargin{:});
x(i) = xiold-h;
[f2,junk1,junk2,cost_flag2] = feval(fcn, x, varargin{:});
x(i) = xiold+2*h;
[f3,junk1,junk2,cost_flag3] = feval(fcn, x, varargin{:});
x(i) = xiold-2*h;
[f4,junk1,junk2,cost_flag4] = feval(fcn, x, varargin{:});
if f0<f1 && f1<f3 && f0<f2 && f2<f4
g0 = 0;
else
g0 = (8*(f1 - f2)+ f4-f3) / (12*h);
end
if abs(g0)< 1e15
g(i) = g0;
else
disp('Bad gradient -----------------------------------')
fprintf('Gradient w.r.t. parameter number %3d (x=%16.8f,h=%16.8f,g0=%16.8f)\n',i,xiold,h,g0)
g(i) = 0;
badg = 1;
end
end
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