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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 plane2 = transformPlane3d(plane, trans)
%TRANSFORMPLANE3D Transform a 3D plane with a 3D affine transform.
%
% PLANE2 = transformPlane3d(PLANE, TRANS)
%
% Example
% p1 = [10 20 30];
% p2 = [30 40 50];
% p3 = [0 -10 -20];
% plane = createPlane(p1, p2, p3);
% rot = createRotationOx(p1, pi/6);
% plane2 = transformPlane3d(plane, rot);
% figure; hold on;
% axis([0 100 0 100 0 100]); view(3);
% drawPlane3d(plane, 'b');
% drawPlane3d(plane2, 'm');
%
% See also
% lines3d, transforms3d, transformPoint3d, transformVector3d,
% transformLine3d
%
% ------
% Author: David Legland, oqilipo
% E-mail: david.legland@inrae.fr
% Created: 2017-07-09
% Copyright 2017-2023 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas
plane2 = [...
transformPoint3d( plane(:,1:3), trans) ... % transform origin point
transformVector3d(plane(:,4:6), trans) ... % transform 1st dir. vect.
transformVector3d(plane(:,7:9), trans)]; % transform 2nd dir. vect.
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