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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 varargout = cyl2cart(varargin)
%CYL2CART Convert cylindrical to cartesian coordinates.
%
% CART = cyl2cart(CYL)
% convert the 3D cylindrical coordinates of points CYL (given by
% [THETA R Z] where THETA, R, and Z have the same size) into cartesian
% coordinates CART, given by [X Y Z].
% The transforms is the following :
% X = R*cos(THETA);
% Y = R*sin(THETA);
% Z remains inchanged.
%
% CART = cyl2cart(THETA, R, Z)
% provides coordinates as 3 different parameters
%
% Example
% cyl2cart([-1 0 2])
% gives : 4.7124 1.0000 2.0000
%
% See also angles3d, cart2pol, cart2sph2, cart2cyl
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2006-03-23
% Copyright 2006-2023 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
% process input parameters
if length(varargin)==1
var = varargin{1};
theta = var(:,1);
r = var(:,2);
z = var(:,3);
elseif length(varargin)==3
theta = varargin{1};
r = varargin{2};
z = varargin{3};
end
% convert coordinates
dim = size(theta);
x = reshape(r(:).*cos(theta(:)), dim);
y = reshape(r(:).*sin(theta(:)), dim);
% process output parameters
if nargout==0 ||nargout==1
if length(dim)>2 || dim(2)>1
varargout{1} = {x y z};
else
varargout{1} = [x y z];
end
elseif nargout==3
varargout{1} = x;
varargout{2} = y;
varargout{3} = z;
end
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