convertCartToPolar

 convert to polar data and sort for increasing angles

 The input data is converted to polar coordinates. The polar angle is in
   the range [0, 2pi).

 THIS IS NO USER FUNCTION

• computeDistanceFromHrep2D compute the signed distance of points from polytope
• moveBndToCenterOfMass correct boundary so that the origin is the center of mass
• obtainBnd create boundary data structure from raw data
• obtainShapeFromFunctional extract shape information from collective structure
• viewBoundaryShape plot a shape struct

0001 function [polarAngle, polarDistance] = convertCartToPolar(cartX, cartY)
0002 % convert to polar data and sort for increasing angles
0003 %
0004 % The input data is converted to polar coordinates. The polar angle is in
0005 %   the range [0, 2pi).
0006 %
0007 % THIS IS NO USER FUNCTION
0008 
0009 % The elk-library: convex geometry applied to crystallization modeling.
0010 %   Copyright (C) 2012 Alexander Reinhold
0011 %
0012 % This program is free software: you can redistribute it and/or modify it
0013 %   under the terms of the GNU General Public License as published by the
0014 %   Free Software Foundation, either version 3 of the License, or (at your
0015 %   option) any later version.
0016 %
0017 % This program is distributed in the hope that it will be useful, but
0018 %   WITHOUT ANY WARRANTY; without even the implied warranty of
0019 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
0020 %   General Public License for more details.
0021 %
0022 % You should have received a copy of the GNU General Public License along
0023 %   with this program.  If not, see <http://www.gnu.org/licenses/>
0024 
0025 %% conversion
0026 polarDistance = sqrt(cartX.^2 + cartY.^2);
0027 polarAngle = mod(atan2(cartY, cartX), 2*pi);