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% STK_ISEQUAL_TOLREL tests approximate equality of two matrices or structures.
%
% CALL: BOOL = stk_isequal_tolrel(A, B, TOLREL)
%
% returns true if A and B are numeric arrays of the same size, such that for
% any pair (a, b) of corresponding entries,
%
% abs(b - a) <= TOLABS, (1)
%
% where
%
% TOLABS = max(abs(A(:)), abs(B(:))) * TOLREL.
%
% For numeric array, the function returns false is either
%
% * the array don't have identical sizes, or
% * the array have identical sizes but (1) doesn't hold.
%
% If A and B are structures with the same list of fieldnames, the function
% works recursively on the fields, and returns true iff all the fields are
% approximately equal.
%
% CALL: b = stk_isequal_tolrel(a, b)
%
% uses the default value 1e-8 for TOLREL.
%
% See also isequal.
% Copyright Notice
%
% Copyright (C) 2018 CentraleSupelec
% Copyright (C) 2012, 2013 SUPELEC
%
% Authors: Julien Bect <julien.bect@centralesupelec.fr>
% Emmanuel Vazquez <emmanuel.vazquez@centralesupelec.fr>
% Copying Permission Statement
%
% This file is part of
%
% STK: a Small (Matlab/Octave) Toolbox for Kriging
% (https://github.com/stk-kriging/stk/)
%
% STK 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.
%
% STK 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 STK. If not, see <http://www.gnu.org/licenses/>.
function res = stk_isequal_tolrel(a, b, tolrel)
DEFAULT_TOLREL = 1e-8;
if nargin == 2
tolrel = DEFAULT_TOLREL;
end
if isstruct(a) && isstruct(b)
L = fieldnames(a);
if ~isequal(fieldnames(b), L)
res = false;
return;
end
res = true;
for k = 1:length(L)
if ~ isfield(b, L{k})
res = false;
return;
end
res = stk_isequal_tolrel(a.(L{k}), b.(L{k}), tolrel);
if ~ res, return; end
end
elseif isnumeric(a) && isnumeric(b)
if ~ isequal (size (a), size (b))
res = false;
else
aa = a(:);
bb = b(:);
tolabs = max(abs(aa), abs(bb)) * tolrel;
res = all(abs(bb - aa) <= tolabs);
end
elseif ischar (a) && ischar (b)
res = strcmp (a, b);
elseif iscell (a) && iscell (b)
for i = 1:numel(a)
if ~ stk_isequal_tolrel (a{i}, b{i}, tolrel)
res = false;
return;
end
end
res = true;
elseif isa (a, 'stk_dataframe') && (strcmp (class (a), class (b)))
res = stk_isequal_tolrel (struct (a), struct (b), tolrel);
else
res = false;
end
end % function
%!shared r1, r2, r3, a, b, tolrel
%! a = 1.01; b = 1.02; tolrel = 0.1;
%!error rr = stk_isequal_tolrel();
%!error rr = stk_isequal_tolrel(a);
%!test r1 = stk_isequal_tolrel(a, b);
%!test r2 = stk_isequal_tolrel(a, b, tolrel);
%!test r3 = stk_isequal_tolrel(a, [b b]);
%!test assert (isequal (r1, false));
%!test assert (isequal (r2, true));
%!test assert (isequal (r3, false));
%!test
%! a = struct('u', []); b = struct('v', []);
%! assert(~ stk_isequal_tolrel(a, b))
%!test
%! a = struct('u', 1.01); b = struct('u', 1.02);
%! assert(stk_isequal_tolrel(a, b, tolrel))
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