function [ l, u ] = heart_b ( m )

%*****************************************************************************80
%
%% HEART_B returns the bounds in the heart problem.
%
%  Licensing:
%
%    This code is distributed under the GNU LGPL license.
%
%  Modified:
%
%    20 January 2016
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    Cesar Munoz, Anthony Narkawicz,
%    Formalization of Bernstein polynomials and applications to global 
%    optimization,
%    Journal of Automated Reasoning,
%    Volume 51, Number 2, 2013, pages 151-196.
%
%  Parameters:
%
%    Input, integer M, the number of variables.
%
%    Output, real L(M), U(M), the lower and upper bounds.
%
  l = [ -0.1E+00,  0.4E+00, -0.7E+00, -0.7E+00, +0.1E+00, -0.1E+00, -0.3E+00, -1.1E+00 ];
  u = [  0.4E+00, +1.0E+00, -0.4E+00, +0.4E+00, +0.2E+00, +0.2E+00, +1.1E+00, -0.3E+00 ];

  return
end

