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########################################################################
##
## Copyright (C) 2007-2025 The Octave Project Developers
##
## See the file COPYRIGHT.md in the top-level directory of this
## distribution or <https://octave.org/copyright/>.
##
## This file is part of Octave.
##
## Octave 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.
##
## Octave 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 Octave; see the file COPYING. If not, see
## <https://www.gnu.org/licenses/>.
##
########################################################################
## -*- texinfo -*-
## @deftypefn {} {@var{idx} =} dsearchn (@var{x}, @var{tri}, @var{xi})
## @deftypefnx {} {@var{idx} =} dsearchn (@var{x}, @var{tri}, @var{xi}, @var{outval})
## @deftypefnx {} {@var{idx} =} dsearchn (@var{x}, @var{xi})
## @deftypefnx {} {[@var{idx}, @var{d}] =} dsearchn (@dots{})
## Return the index @var{idx} of the closest point in @var{x} to the elements
## @var{xi}.
##
## If @var{outval} is supplied, then the values of @var{xi} that are not
## contained within one of the simplices @var{tri} are set to @var{outval}.
## Generally, @var{tri} is returned from @code{delaunayn (@var{x})}.
##
## The optional output @var{d} contains a column vector of distances between
## the query points @var{xi} and the nearest simplex points @var{x}.
##
## Compatibility note: The @code{dsearchn} algorithm only uses the input
## @var{tri} when @var{outdim} is specified to determine if any points lie
## outside of the triangulation region. For compatibility, @var{tri} is
## accepted as an input even when @var{outdim} is not specified, but it is not
## used or checked to be a valid triangulation, and providing it will not
## affect either the output @var{idx} or the calculation efficiency.
##
## @seealso{tsearchn, delaunayn}
## @end deftypefn
function [idx, d] = dsearchn (x, tri, xi, outval)
if (nargin < 2)
print_usage ();
endif
if (nargin == 2)
[idx, d] = __dsearchn__ (x, tri);
else
[idx, d] = __dsearchn__ (x, xi);
if (nargin == 4)
idx2 = isnan (tsearchn (x, tri, xi));
idx(idx2) = outval;
d(idx2) = outval;
endif
endif
endfunction
%!shared x, tri
%! x = [-1,-1;-1,1;1,-1];
%! tri = [1,2,3];
%!assert (dsearchn (x,tri,[1,1/3]), 3)
%!assert (dsearchn (x,tri,[1,1/3],NaN), NaN)
%!assert (dsearchn (x,tri,[1,1/3],NA), NA)
%!assert (dsearchn (x,tri,[1/3,1]), 2)
%!assert (dsearchn (x,tri,[1/3,1],NaN), NaN)
%!assert (dsearchn (x,tri,[1/3,1],NA), NA)
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