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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 S = cylinderSurfaceArea(cyl)
%CYLINDERSURFACEAREA Surface area of a cylinder.
%
% S = cylinderSurfaceArea(CYL)
% Computes the surface area of the cylinder defined by:
% CYL = [X1 Y1 Z1 X2 Y2 Z2 R],
% where [X1 Y1 Z1] and [X2 Y2 Z2] are the coordinates of the cylinder
% extremities, and R is the cylinder radius.
% The surface area of the cylinder comprises the surface area of the two
% disk-shape end caps.
%
% Example
% cyl = [0 0 0 1 0 0 1];
% cylinderSurfaceArea(cyl)
% ans =
% 12.5664
% % equals to 4*pi
%
% See also
% geom3d, ellipsoidSurfaceArea, intersectLineCylinder
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2017-11-02, using Matlab 9.3.0.713579 (R2017b)
% Copyright 2017-2023 INRA - Cepia Software Platform
H = distancePoints3d(cyl(:, 1:3), cyl(:, 4:6));
R = cyl(:,7);
S1 = 2*pi*R .* H;
S2 = 2 * (pi * R.^2);
S = S1 + S2;
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