File: parallelPlane.m

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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 = parallelPlane(plane, point)
%PARALLELPLANE Parallel to a plane through a point or at a given distance.
%
%   PL2 = parallelPlane(PL, PT)
%   Constructs the plane parallel to plane PL and containing the point PT.
%
%   PL2 = parallelPlane(PL, D)
%   Constructs the plane parallel to plane PL, and located at the given
%   signed distance D.
%
%   Example
%     % Create a plane normal to the 3D vector DIR
%     dir = [3 4 5];
%     plane = createPlane([3 4 5], dir);
%     % Create plane at a specific distance 
%     plane2 = parallelPlane(plane, 5);
%     % Create a line perpendicular to both planes
%     line = [2 4 1 3 4 5];
%     pi1 = intersectLinePlane(line, plane);
%     pi2 = intersectLinePlane(line, plane2);
%     % check the distance between intersection points
%     distancePoints3d(pi1, pi2)
%     ans = 
%         5
%
%   See also 
%   geom3d, parallelLine3d

% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2012-08-22, using Matlab 7.9.0.529 (R2009b)
% Copyright 2012-2023 INRA - Cepia Software Platform

if size(point, 2) == 1
    % use a distance. Compute position of point located at distance DIST on
    % the line normal to the plane.
    normal = normalizeVector3d(planeNormal(plane));
    point = plane(:, 1:3) + bsxfun(@times, point, normal);
end

% change origin, and keep direction vectors
res = [point plane(:, 4:9)];