function value = voxels_dist_l1_nd ( dim_num, p1, p2 )
%*****************************************************************************80
%
%% voxels_dist_l1_nd() computes the L1 distance between voxels in ND.
%
% Discussion:
%
% A voxel is generally a point in 3D space with integer coordinates.
% There's no reason to stick with 3D, so this routine will handle any dimension.
%
% We can imagine that, in traveling from P1 to P2, we are allowed to
% increment or decrement just one coordinate at a time. The minimum number
% of such changes required is the L1 distance.
%
% More formally,
%
% DIST_L1 ( P1, P2 ) = sum ( 1 <= I <= N ) | P1(I) - P2(I) |
%
% Licensing:
%
% This code is distributed under the MIT license.
%
% Modified:
%
% 23 May 2005
%
% Author:
%
% John Burkardt
%
% Input:
%
% integer DIM_NUM, the spatial dimension.
%
% integer P1(DIM_NUM), the voxel that begins the line.
%
% integer P2(DIM_NUM), the voxel that ends the line.
%
% Output:
%
% integer VALUE, the L1 distance between the voxels.
%
value = sum ( abs ( p1(1:dim_num) - p2(1:dim_num) ) );
return
end