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## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
## 
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
## 
##     1 Redistributions of source code must retain the above copyright notice,
##       this list of conditions and the following disclaimer.
##     2 Redistributions in binary form must reproduce the above copyright
##       notice, this list of conditions and the following disclaimer in the
##       documentation and/or other materials provided with the distribution.
## 
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

## -*- texinfo -*-
## @deftypefn {Function File} {@var{edges} = } knnGrpah (@var{nodes})
## Create the k-nearest neighbors graph of a set of points
##
## EDGES = knnGraph(NODES)
##
## Example
## @example
##
## nodes = rand(10, 2);
## edges = knnGraph(nodes);
## drawGraph(nodes, edges);
##
## @end example
##
## @end deftypefn

function edges = knnGraph(nodes, varargin)

  # get number of neighbors for each node
  k = 2;
  if ~isempty(varargin)
  k = varargin{1};
  end

  # init size of arrays
  n   = size(nodes, 1);
  edges = zeros(k*n, 2);

  # iterate on nodes
  for i = 1:n
  dists = distancePoints(nodes(i,:), nodes);
  [dists inds]  = sort(dists); ##ok<ASGLU>
  for j = 1:k
    edges(k*(i-1)+j, :) = [i inds(j+1)];
  end
  end

  # remove double edges
  edges = unique(sort(edges, 2), 'rows');

endfunction

%!demo
%! nodes = rand(10, 2);
%! edges = knnGraph(nodes);
%! drawGraph(nodes, edges);
%! axis tight