%% Copyright (c) 2011, INRA
%% 2005-2011, David Legland <david.legland@grignon.inra.fr>
%% 2011 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
%%
%% All rights reserved.
%% (simplified BSD License)
%%
%% 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 COPYRIGHT HOLDER 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.
%%
%% The views and conclusions contained in the software and documentation are
%% those of the authors and should not be interpreted as representing official
%% policies, either expressed or implied, of copyright holder.

%% -*- texinfo -*-
%% @deftypefn {Function File} {@var{pt2} = } transformPoint (@var{pt1}, @var{Trans})
%% @deftypefnx {Function File} {[@var{px2} @var{py2}]= } transformPoint (@var{px1}, @var{py1}, @var{Trans})
%% Transform a point with an affine transform.
%%
%%   where @var{pt1} has the form [xp yp], and @var{Trans} is a [2x2], [2x3] or [3x3]
%%   matrix, returns the point transformed with affine transform @var{Trans}.
%%
%%   Format of @var{Trans} can be one of :
%%   [a b]   ,   [a b c] , or [a b c]
%%   [d e]       [d e f]      [d e f]
%%                            [0 0 1]
%%
%%   Also works when @var{pt1} is a [Nx2] array of double. In this case, @var{pt2} has
%%   the same size as @var{pt1}.
%%
%%   Also works when @var{px1} and @var{py1} are arrays the same size. The function
%%   transform each couple of (@var{px1}, @var{py1}), and return the result in 
%%   (@var{px2}, @var{py2}), which is the same size as (@var{px1} @var{py1}).
%%
%%   @seealso{points2d, transforms2d, createTranslation, createRotation}
%% @end deftypefn

function varargout = transformPoint(varargin)

  if length(varargin)==2
      var = varargin{1};
      px = var(:,1);
      py = var(:,2);
      trans = varargin{2};
  elseif length(varargin)==3
      px = varargin{1};
      py = varargin{2};
      trans = varargin{3};
  else
      error('wrong number of arguments in "transformPoint"');
  end


  % compute position
  px2 = px*trans(1,1) + py*trans(1,2);
  py2 = px*trans(2,1) + py*trans(2,2);

  % add translation vector, if exist
  if size(trans, 2)>2
      px2 = px2 + trans(1,3);
      py2 = py2 + trans(2,3);
  end


  if nargout==0 || nargout==1
      varargout{1} = [px2 py2];
  elseif nargout==2
      varargout{1} = px2;
      varargout{2} = py2;
  end

endfunction