/usr/share/octave/packages/interval-3.1.0/@infsup/coth.m is in octave-interval 3.1.0-5.
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##
## 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 {@@infsup} coth (@var{X})
##
## Compute the hyperbolic cotangent, that is the reciprocal hyperbolic tangent.
##
## Accuracy: The result is a tight enclosure.
##
## @example
## @group
## coth (infsup (1))
## @result{} ans ⊂ [1.313, 1.3131]
## @end group
## @end example
## @seealso{@@infsup/tanh, @@infsup/csch, @@infsup/sech}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2015-03-15
function x = coth (x)
if (nargin ~= 1)
print_usage ();
return
endif
l = u = zeros (size (x.inf));
select = x.inf >= 0 | x.sup <= 0;
if (any (select(:)))
l(select) = mpfr_function_d ('coth', -inf, x.sup(select));
l(select & x.sup == 0) = -inf;
u(select) = mpfr_function_d ('coth', +inf, x.inf(select));
u(select & x.inf == 0) = inf;
endif
select = x.inf < 0 & x.sup > 0;
if (any (select(:)))
l(select) = -inf;
u(select) = inf;
endif
emptyresult = isempty (x) | (x.inf == 0 & x.sup == 0);
l(emptyresult) = inf;
u(emptyresult) = -inf;
x.inf = l;
x.sup = u;
endfunction
%!# from the documentation string
%!assert (coth (infsup (1)) == "[0x1.50231499B6B1D, 0x1.50231499B6B1E]");
%!shared testdata
%! # Load compiled test data (from src/test/*.itl)
%! testdata = load (file_in_loadpath ("test/itl.mat"));
%!test
%! # Scalar evaluation
%! testcases = testdata.NoSignal.infsup.coth;
%! for testcase = [testcases]'
%! assert (isequaln (...
%! coth (testcase.in{1}), ...
%! testcase.out));
%! endfor
%!test
%! # Vector evaluation
%! testcases = testdata.NoSignal.infsup.coth;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! out = vertcat (testcases.out);
%! assert (isequaln (coth (in1), out));
%!test
%! # N-dimensional array evaluation
%! testcases = testdata.NoSignal.infsup.coth;
%! 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 (coth (in1), out));
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