/usr/share/octave/packages/interval-3.1.0/@infsupdec/sinrev.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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 | ## 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{X} =} sinrev (@var{C}, @var{X})
## @deftypemethodx {@@infsupdec} {@var{X} =} sinrev (@var{C})
##
## Compute the reverse sine function.
##
## That is, an enclosure of all @code{x ∈ @var{X}} where
## @code{sin (x) ∈ @var{C}}.
##
## Accuracy: The result is a valid 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
## sinrev (infsupdec (-1), infsupdec (0, 6))
## @result{} ans ⊂ [4.7123, 4.7124]_trv
## @end group
## @end example
## @seealso{@@infsupdec/sin}
## @end deftypemethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-19
function result = sinrev (c, x)
if (nargin > 2)
print_usage ();
return
endif
if (nargin < 2)
x = infsupdec (-inf, inf);
endif
if (not (isa (c, "infsupdec")))
c = infsupdec (c);
endif
if (not (isa (x, "infsupdec")))
x = infsupdec (x);
endif
result = infsupdec (sinrev (c.infsup, x.infsup), "trv");
result.dec(isnai (c) | isnai (x)) = _ill ();
endfunction
%!# from the documentation string
%!assert (isequal (sinrev (infsupdec (-1), infsupdec (0, 6)), infsupdec ("[0x1.2D97C7F3321D2p2, 0x1.2D97C7F3321D3p2]_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.sinRev;
%! for testcase = [testcases]'
%! assert (isequaln (...
%! sinrev (testcase.in{1}), ...
%! testcase.out));
%! endfor
%!test
%! # Vector evaluation
%! testcases = testdata.NoSignal.infsupdec.sinRev;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! out = vertcat (testcases.out);
%! assert (isequaln (sinrev (in1), out));
%!test
%! # N-dimensional array evaluation
%! testcases = testdata.NoSignal.infsupdec.sinRev;
%! 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 (sinrev (in1), out));
%!test
%! # Scalar evaluation
%! testcases = testdata.NoSignal.infsupdec.sinRevBin;
%! for testcase = [testcases]'
%! assert (isequaln (...
%! sinrev (testcase.in{1}, testcase.in{2}), ...
%! testcase.out));
%! endfor
%!test
%! # Vector evaluation
%! testcases = testdata.NoSignal.infsupdec.sinRevBin;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! in2 = vertcat (vertcat (testcases.in){:, 2});
%! out = vertcat (testcases.out);
%! assert (isequaln (sinrev (in1, in2), out));
%!test
%! # N-dimensional array evaluation
%! testcases = testdata.NoSignal.infsupdec.sinRevBin;
%! 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 (sinrev (in1, in2), out));
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