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function C = compare_vectors(f, A, B)
% Performs lexicographical comparison of vectors.
%
% INPUTS
% o f function handle: @lt, @gt, @le or @ge
% o A vector of real numbers.
% o B vector of real numbers.
%
% OUTPUTS
% o C integer scalar, 1 or 0.
%
% REMARKS
% o It is assumed that vectors A and B have the same number of elements.
% Copyright © 2013-2023 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/>.
if ~isvector(A) || ~isvector(B)
error('compare_vectors:: Input arguments a and b must be vectors!')
end
if ~isequal(length(A),length(B))
error('compare_vectors_lt:: Input arguments a and b must be of same length!')
end
fstr = func2str(f);
if ~ismember(fstr, {'lt', 'gt', 'le', 'ge'})
error('compare_vectors:: First input argument must be one of the following function handles: @lt, @gt, @le or @ge!')
end
strict_inequality = ismember(fstr, {'gt','lt'});
if isequal(length(A),1)
if feval(f, A, B)
C = 1;
else
C = 0;
end
else
if feval(f, A(1), B(1))
if strict_inequality
C = 1;
else
if isequal(A(1),B(1))
C = compare_vectors(f, A(2:end), B(2:end));
else
C = 1;
end
end
else
if strict_inequality
if isequal(A(1),B(1))
C = compare_vectors(f, A(2:end), B(2:end));
else
C = 0;
end
else
C = 0;
end
end
end
return % --*-- Unit tests --*--
%@test:1
t(1) = dassert(compare_vectors(@lt, [1990 3], [1991 3]), 1);
t(2) = dassert(compare_vectors(@lt, [1990 3], [1990 3]), 0);
t(3) = dassert(compare_vectors(@le, [1990 3], [1990 3]), 1);
t(4) = dassert(compare_vectors(@lt, [1990 3], [1990 4]), 1);
t(5) = dassert(compare_vectors(@le, [1990 3], [1990 4]), 1);
t(6) = dassert(compare_vectors(@gt, [1990 3], [1991 3]), 0);
t(7) = dassert(compare_vectors(@gt, [1990 3], [1990 3]), 0);
t(8) = dassert(compare_vectors(@ge, [1990 3], [1990 3]), 1);
t(9) = dassert(compare_vectors(@gt, [1990 3], [1990 4]), 0);
t(10) = dassert(compare_vectors(@ge, [1990 3], [1990 4]), 0);
t(11) = dassert(compare_vectors(@le, [1991 3], [1990 4]), 0);
t(12) = dassert(compare_vectors(@le, [1991 3], [1990 2]), 0);
t(13) = dassert(compare_vectors(@le, [1945 2], [1950, 1]),1);
T = all(t);
%@eof:1
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