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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 coord = planePoint(plane, point)
%PLANEPOINT Compute 3D position of a point in a plane.
%
% POINT = planePoint(PLANE, POS)
% PLANE is a 9 element row vector [x0 y0 z0 dx1 dy1 dz1 dx2 dy2 dz2]
% POS is the coordinate of a point in the plane basis,
% POINT is the 3D coordinate in global basis.
%
% Example
% plane = [10 20 30 1 0 0 0 1 1];
% pos2d = [3 4];
% pt = planePoint(plane, pos2d)
% pt =
% 13 24 34
%
% See also
% geom3d, planes3d, planePosition
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2007-09-18, using Matlab 7.4.0.287 (R2007a)
% Copyright 2007-2023 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas
% size of input arguments
npl = size(plane, 1);
npt = size(point, 1);
% check inputs have compatible sizes
if npl ~= npt && npl > 1 && npt > 1
error('geom3d:planePoint:inputSize', ...
'plane and point should have same size, or one of them must have 1 row');
end
% basis origin, eventually resized
origin = plane(:, 1:3);
if npl == 1 && npt > 1
origin = origin(ones(npt,1), :);
end
% compute 3D coordinate
coord = origin + ...
bsxfun(@times, plane(:,4:6), point(:,1)) + ...
bsxfun(@times, plane(:,7:9), point(:,2)) ;
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