/usr/share/octave/packages/interval-2.1.0/@infsupdec/dot.m is in octave-interval 2.1.0-2.
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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 | ## Copyright 2015-2016 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} dot (@var{X}, @var{Y})
## @defmethodx {@@infsupdec} dot (@var{X}, @var{Y}, @var{DIM})
##
## Compute the dot product of two interval vectors.
##
## If @var{X} and @var{Y} are matrices, calculate the dot products along the
## first non-singleton dimension. If the optional argument @var{DIM} is given,
## calculate the dot products along this dimension.
##
## Accuracy: The result is a tight enclosure.
##
## @example
## @group
## dot ([infsupdec(1), 2, 3], [infsupdec(2), 3, 4])
## @result{} ans = [20]_com
## @end group
## @group
## dot (infsupdec ([realmax; realmin; realmax]), [1; -1; -1], 1)
## @result{} ans ⊂ [-2.2251e-308, -2.225e-308]_com
## @end group
## @end example
## @seealso{@@infsupdec/plus, @@infsupdec/sum, @@infsupdec/times}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2015-01-31
function result = dot (x, y, dim)
if (nargin < 2 || nargin > 3)
print_usage ();
return
endif
if (not (isa (x, "infsupdec")))
x = infsupdec (x);
endif
if (not (isa (y, "infsupdec")))
y = infsupdec (y);
endif
if (nargin < 3)
if (isvector (x.dec) && isvector (y.dec))
## Align vectors along common dimension
dim = 1;
x = vec (x, dim);
y = vec (y, dim);
else
## Try to find non-singleton dimension
dim = find (any (size (x.dec), size (y.dec)) > 1, 1);
if (isempty (dim))
dim = 1;
endif
endif
endif
## null matrix input -> null matrix output
if (isempty (x.dec) || isempty (y.dec))
result = infsupdec (zeros (min (size (x.dec), size (y.dec))));
return
endif
## Only the sizes of non-singleton dimensions must agree. Singleton dimensions
## do broadcast (independent of parameter dim).
if ((min (size (x.dec, 1), size (y.dec, 1)) > 1 && ...
size (x.dec, 1) ~= size (y.dec, 1)) || ...
(min (size (x.dec, 2), size (y.dec, 2)) > 1 && ...
size (x.dec, 2) ~= size (y.dec, 2)))
error ("interval:InvalidOperand", "dot: sizes of X and Y must match")
endif
result = newdec (dot (x.infsup, y.infsup, dim));
warning ("off", "Octave:broadcast", "local");
result.dec = min (result.dec, ...
min (min (x.dec, [], dim), min (y.dec, [], dim)));
endfunction
%!# from the documentation string
%!assert (isequal (dot ([infsupdec(1), 2, 3], [infsupdec(2), 3, 4]), infsupdec (20)));
%!assert (isequal (dot (infsupdec ([realmax; realmin; realmax]), [1; -1; -1], 1), infsupdec (-realmin)));
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