/usr/share/octave/packages/interval-3.1.0/@infsupdec/cancelminus.m is in octave-interval 3.1.0-5.
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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 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 | ## Copyright 2014-2016 Oliver Heimlich
##
## This program 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.
##
## This program 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 this program; if not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @documentencoding UTF-8
## @deftypemethod {@@infsupdec} {@var{Z} =} cancelminus (@var{X}, @var{Y})
##
## Recover interval @var{Z} from intervals @var{X} and @var{Y}, given that one
## knows @var{X} was obtained as the sum @var{Y} + @var{Z}.
##
## Accuracy: The result is a tight enclosure.
##
## @comment DO NOT SYNCHRONIZE DOCUMENTATION STRING
## No one way of decorating this operations gives useful information in all
## contexts. Therefore, the result will carry a @code{trv} decoration at best.
##
## @example
## @group
## cancelminus (infsupdec (2, 3), infsupdec (1, 1.5))
## @result{} ans = [1, 1.5]_trv
## @end group
## @end example
## @end deftypemethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-19
function result = cancelminus (x, y)
if (nargin ~= 2)
print_usage ();
return
endif
if (not (isa (x, "infsupdec")))
x = infsupdec (x);
endif
if (not (isa (y, "infsupdec")))
y = infsupdec (y);
endif
## cancelMinus must not retain any useful decoration
result = infsupdec (cancelminus (x.infsup, y.infsup), "trv");
result.dec(isnai (x) | isnai (y)) = _ill ();
endfunction
%!# from the documentation string
%!assert (isequal (cancelminus (infsupdec (2, 3), infsupdec (1, 1.5)), infsupdec (1, 1.5, "trv")));
%!shared testdata
%! # Load compiled test data (from src/test/*.itl)
%! testdata = load (file_in_loadpath ("test/itl.mat"));
%!test
%! # Scalar evaluation
%! testcases = testdata.NoSignal.infsupdec.cancelMinus;
%! for testcase = [testcases]'
%! assert (isequaln (...
%! cancelminus (testcase.in{1}, testcase.in{2}), ...
%! testcase.out));
%! endfor
%!test
%! # Vector evaluation
%! testcases = testdata.NoSignal.infsupdec.cancelMinus;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! in2 = vertcat (vertcat (testcases.in){:, 2});
%! out = vertcat (testcases.out);
%! assert (isequaln (cancelminus (in1, in2), out));
%!test
%! # N-dimensional array evaluation
%! testcases = testdata.NoSignal.infsupdec.cancelMinus;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! in2 = vertcat (vertcat (testcases.in){:, 2});
%! out = vertcat (testcases.out);
%! # Reshape data
%! i = -1;
%! do
%! i = i + 1;
%! testsize = factor (numel (in1) + i);
%! until (numel (testsize) > 2)
%! in1 = reshape ([in1; in1(1:i)], testsize);
%! in2 = reshape ([in2; in2(1:i)], testsize);
%! out = reshape ([out; out(1:i)], testsize);
%! assert (isequaln (cancelminus (in1, in2), out));
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