/usr/share/octave/packages/interval-3.1.0/@infsupdec/atanh.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 | ## 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
## @defmethod {@@infsupdec} atanh (@var{X})
##
## Compute the inverse hyperbolic tangent.
##
## Accuracy: The result is a tight enclosure.
##
## @example
## @group
## atanh (infsupdec (.5))
## @result{} ans ⊂ [0.5493, 0.54931]_com
## @end group
## @end example
## @seealso{@@infsupdec/tanh}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-13
function result = atanh (x)
if (nargin ~= 1)
print_usage ();
return
endif
result = newdec (atanh (x.infsup));
## atanh is continuous everywhere, but defined for ]-1, 1[ only
persistent domain_hull = infsup (-1, 1);
result.dec(not (interior (x.infsup, domain_hull))) = _trv ();
result.dec = min (result.dec, x.dec);
endfunction
%!# from the documentation string
%!assert (isequal (atanh (infsupdec (.5)), infsupdec ("[0x1.193EA7AAD030Ap-1, 0x1.193EA7AAD030Bp-1]")));
%!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.atanh;
%! for testcase = [testcases]'
%! assert (isequaln (...
%! atanh (testcase.in{1}), ...
%! testcase.out));
%! endfor
%!test
%! # Vector evaluation
%! testcases = testdata.NoSignal.infsupdec.atanh;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! out = vertcat (testcases.out);
%! assert (isequaln (atanh (in1), out));
%!test
%! # N-dimensional array evaluation
%! testcases = testdata.NoSignal.infsup.atanh;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! 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);
%! out = reshape ([out; out(1:i)], testsize);
%! assert (isequaln (atanh (in1), out));
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