function inside = p02_inside ( m, n, point )

%*****************************************************************************80
%
%% P02_INSIDE reports if a point is inside the region in problem 02.
%
%  Licensing:
%
%    This code is distributed under the GNU LGPL license.
%
%  Modified:
%
%    12 April 2009
%
%  Author:
%
%    John Burkardt
%
%  Parameters:
%
%    Input, integer M, the spatial dimension.
%
%    Input, integer N, the number of points.
%
%    Input, real POINT(M,N), the coordinates of the points.
%
%    Output, logical INSIDE(N), is TRUE if the point is in the region.
%
  center = [ 0.0, 0.0 ];
  r1 = 1.0;
  r2 = 0.4;

  inside(1:n) =                                             ...
    (                                                       ...
                 ( point(1,1:n) - center(1) ).^2            ...
               + ( point(2,1:n) - center(2) ).^2 <= r1 * r1 ...
    )                                                       ...
    &                                                       ...
    (                                                       ...
      r2 * r2 <= ( point(1,1:n) - center(1) ).^2            ...
               + ( point(2,1:n) - center(2) ).^2            ...
    );

  return
end