function value = points_avoid_point_naive_2d ( n, p_set, p )
%*****************************************************************************80
%
%% POINTS_AVOID_POINT_NAIVE_2D: is a point "far" from a set of points in 2D?
%
% Discussion:
%
% The routine discards points that are too close to other points.
% The method used to check this is quadratic in the number of points,
% and may take an inordinate amount of time if there are a large
% number of points. But in that case, what do you want? If you want
% lots of points, you don't want to delete any because it won't matter.
%
% The test point is "far enough" from an accepted point if
% the Euclidean distance is at least 100 times EPSILON.
%
% Licensing:
%
% This code is distributed under the GNU LGPL license.
%
% Modified:
%
% 18 February 2005
%
% Author:
%
% John Burkardt
%
% Input:
%
% integer N, the number of accepted points.
%
% real P_SET(2,N), the accepted points.
%
% real P(2), a point to be tested.
%
% Output:
%
% logical VALUE, is TRUE if XY_TEST is
% "far enough" from all the accepted points.
%
dim_num = 2;
tol = 100.0 * eps;
value = true;
for j = 1 : n
if ( sqrt ( sum ( ( p_set(1:dim_num,j) - p(1:dim_num) ).^2 ) ) < tol )
value = false;
return
end
end
return
end