ITE / code / H_I_D / utilities / volume_of_the_unit_ball.m

function [V] = volume_of_the_unit_ball(d)
%Returns the volume (V) of the d-dimensional unit ball.
%Copyright (C) 2012 Zoltan Szabo ("", "szzoli (at) cs (dot) elte (dot) hu")
%This file is part of the ITE (Information Theoretical Estimators) Matlab/Octave toolbox.
%ITE is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by
%the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
%This software is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
%MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more details.
%You should have received a copy of the GNU General Public License along with ITE. If not, see <>.

V = pi^(d/2) / gamma(d/2+1); % %= 2 * pi^(d/2) / ( d*gamma(d/2) );