/usr/share/octave/packages/interval-3.1.0/@infsup/asin.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} asin (@var{X})
##
## Compute the inverse sine in radians (arcsine).
##
## Accuracy: The result is a tight enclosure.
##
## @example
## @group
## asin (infsup (.5))
## @result{} ans ⊂ [0.52359, 0.5236]
## @end group
## @end example
## @seealso{@@infsup/sin}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-06
function x = asin (x)
if (nargin ~= 1)
print_usage ();
return
endif
persistent domain = infsup (-1, 1);
x = intersect (x, domain);
## asin is monotonically increasing from (-1, -pi/2) to (1, pi/2)
if (__check_crlibm__ ())
l = crlibm_function ('asin', -inf, x.inf);
u = crlibm_function ('asin', +inf, x.sup);
else
l = mpfr_function_d ('asin', -inf, x.inf);
u = mpfr_function_d ('asin', +inf, x.sup);
endif
l(l == 0) = -0;
emptyresult = isempty (x);
l(emptyresult) = inf;
u(emptyresult) = -inf;
x.inf = l;
x.sup = u;
endfunction
%!# Empty interval
%!assert (asin (infsup ()) == infsup ());
%!# from the documentation string
%!assert (asin (infsup (.5)) == "[0x1.0C152382D7365p-1, 0x1.0C152382D7366p-1]");
%!# correct use of signed zeros
%!test
%! x = asin (infsup (0));
%! assert (signbit (inf (x)));
%! assert (not (signbit (sup (x))));
%!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.asin;
%! for testcase = [testcases]'
%! assert (isequaln (...
%! asin (testcase.in{1}), ...
%! testcase.out));
%! endfor
%!test
%! # Vector evaluation
%! testcases = testdata.NoSignal.infsup.asin;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! out = vertcat (testcases.out);
%! assert (isequaln (asin (in1), out));
%!test
%! # N-dimensional array evaluation
%! testcases = testdata.NoSignal.infsup.asin;
%! 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 (asin (in1), out));
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