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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{perp} = } orthogonalLine (@var{line}, @var{point})
## Create a line orthogonal to another one.
#
#   Returns the line orthogonal to the line @var{line} and going through the
#   point given by @var{point}. Directed angle from @var{line} to @var{perp} is pi/2.
#   @var{line} is given as [x0 y0 dx dy] and @var{point} is [xp yp].
#
#   @seealso{lines2d, parallelLine}
## @end deftypefn

function res = orthogonalLine(line, point)

  N = max(size(point, 1), size(line, 1));

  if size(point, 1)>1
      res = point;
  else
      res = ones(N, 1)*point;
  end

  if size(line, 1)>1
      res(:,3) = -line(:,4);
      res(:,4) = line(:,3);
  else
      res(:,3) = -ones(N,1)*line(4);
      res(:,4) = ones(N,1)*line(3);
  end

endfunction