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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 [newLine, isOrthogonal] = projLineOnPlane(line, plane)
%PROJLINEONPLANE Return the orthogonal projection of a line on a plane.
%
% NEWLINE = PROJLINEONPLANE(LINE, PLANE) Returns the orthogonal
% projection of LINE or multiple lines on the PLANE.
%
% [..., ISORTHOGONAL] = PROJLINEONPLANE(LINE, PLANE) Also returns if the
% LINE is orthogonal to the PLANE.
%
% Example
% plane = [.1 .2 .3 .4 .5 .6 .7 .8 .9];
% lines = [0 .3 0 1 0 0;0 .5 .5 0 0 1;...
% .4 .1 .5 1 0 2;.2 .7 .1 0 1 0;...
% plane(1:3) planeNormal(plane)];
% [newLines, isOrthogonal] = projLineOnPlane(lines, plane);
% figure('color','w'); axis equal; view(3)
% drawLine3d(lines,'b')
% drawPlane3d(plane)
% drawLine3d(newLines(~isOrthogonal,:), 'r')
%
% See also
% planes3d, lines3d, intersectLinePlane, projPointOnPlane
% ------
% Author: oqilipo
% E-mail: N/A
% Created: 2017-08-06
% Copyright 2017-2023
p1 = projPointOnPlane(line(:,1:3), plane);
p2 = projPointOnPlane(line(:,1:3)+line(:,4:6), plane);
newLine=createLine3d(p1, p2);
isOrthogonal = ismembertol(p1,p2,'ByRows',true);
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