volume of nD cone THIS IS NO USER FUNCTION
0001 function volume = computeConeVolume(ray, radius) 0002 % volume of nD cone 0003 % 0004 % THIS IS NO USER FUNCTION 0005 0006 % The elk-library: convex geometry applied to crystallization modeling. 0007 % Copyright (C) 2013 Alexander Reinhold 0008 % 0009 % This program is free software: you can redistribute it and/or modify it 0010 % under the terms of the GNU General Public License as published by the 0011 % Free Software Foundation, either version 3 of the License, or (at your 0012 % option) any later version. 0013 % 0014 % This program is distributed in the hope that it will be useful, but 0015 % WITHOUT ANY WARRANTY; without even the implied warranty of 0016 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 0017 % General Public License for more details. 0018 % 0019 % You should have received a copy of the GNU General Public License along 0020 % with this program. If not, see <http://www.gnu.org/licenses/> 0021 0022 nDim = length(ray); 0023 % base 'area' 0024 base = pi^((nDim-1)/2) / gamma((nDim-1)/2+1) * radius^(nDim-1); 0025 % cone volume 0026 volume = 1/nDim * base * norm(ray);