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## Copyright (C) 2024 David Legland
## 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.
##
## 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 the copyright holders.
function varargout = transformVector(varargin)
%TRANSFORMVECTOR Transform a vector with an affine transform.
%
% VECT2 = transformVector(VECT1, TRANS);
% where VECT1 has the form [xv yv], and TRANS is a [2*2], [2*3] or [3*3]
% matrix, returns the vector transformed with affine transform TRANS.
%
% Format of 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]
%
% VECT2 = transformVector(VECT1, TRANS);
% Also works when PTA is a [N*2] array of double. In this case, VECT2 has
% the same size as VECT1.
%
% [vx2 vy2] = transformVector(vx1, vy1, TRANS);
% Also works when vx1 and vy1 are arrays the same size. The function
% transform each couple of (vx1, vy1), and return the result in
% (vx2, vy2), which is the same size as (vx1 vy1).
%
%
% See also
% vectors2d, transforms2d, rotateVector, transformPoint
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2007-03-12
% Copyright 2007-2023 INRA - TPV URPOI - BIA IMASTE
if length(varargin)==2
var = varargin{1};
vx = var(:,1);
vy = var(:,2);
trans = varargin{2};
elseif length(varargin)==3
vx = varargin{1};
vy = varargin{2};
trans = varargin{3};
else
error('wrong number of arguments in "transformVector"');
end
% compute new position of vector
vx2 = vx*trans(1,1) + vy*trans(1,2);
vy2 = vx*trans(2,1) + vy*trans(2,2);
% format output
if nargout==0 || nargout==1
varargout{1} = [vx2 vy2];
elseif nargout==2
varargout{1} = vx2;
varargout{2} = vy2;
end
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