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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 res = orthogonalLine(line, point)
%ORTHOGONALLINE Create a line orthogonal to another one through a point.
%
% PERP = orthogonalLine(LINE, POINT);
% Returns the line orthogonal to the line LINE and going through the
% point given by POINT. Directed angle from LINE to PERP is pi/2.
% LINE is given as [x0 y0 dx dy] and POINT is [xp yp].
%
% Works also when LINE is a N-by-4 array, or POINT is a N-by-2 array. In
% this case, the result is a N-by-4 array.
%
%
% Example
% refLine = createLine([10 10], [30 20]);
% pt = [20 40];
% figure; hold on; axis equal; axis([0 50 0 50]);
% drawLine(refLine, 'lineWidth', 2);
% drawPoint(pt);
% perp = orthogonalLine(refLine, pt);
% drawLine(perp, 'color', 'r');
%
% See also
% lines2d, parallelLine, intersectLines
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2003-10-31
% Copyright 2003-2023 INRA - TPV URPOI - BIA IMASTE
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
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