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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 = parallelLine(line, point)
%PARALLELLINE Create a line parallel to another one.
%
% RES = parallelLine(LINE, POINT);
% Returns the line with same direction vector than LINE and going through
% the point given by POINT.
% LINE is given as [x0 y0 dx dy] and POINT is [xp yp].
%
%
% RES = parallelLine(LINE, DIST);
% Uses relative distance to specify position. The new line will be
% located at distance DIST, counted positive in the right side of LINE
% and negative in the left side.
%
% Examples
% P1 = [20 30]; P2 = [50 10];
% L1 = createLine([50 10], [20 30]);
% figure; hold on; axis equal; axis([0 60 0 50]);
% drawPoint([P1; P2], 'ko');
% drawLine(L1, 'k');
% P = [30 40];
% drawPoint(P, 'ko');
% L2 = parallelLine(L1, P);
% drawLine(L2, 'Color', 'b');
%
% See also
% lines2d, orthogonalLine, distancePointLine, parallelEdge
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2003-10-31
% Copyright 2003-2023 INRA - TPV URPOI - BIA IMASTE
if size(point, 2) == 1
% use a distance. Compute position of point located at distance DIST on
% the line orthogonal to the first one.
point = pointOnLine([line(:,1) line(:,2) line(:,4) -line(:,3)], point);
end
% normal case: compute line through a point with given direction
res = zeros(size(line, 1), 4);
res(:, 1:2) = point;
res(:, 3:4) = line(:, 3:4);
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