function value = himmelblau_f ( m, n, x )

%*****************************************************************************80
%
%% himmelblau_f() returns the function in the himmelblau problem.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    26 January 2016
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    Sashwati Ray, PSV Nataraj,
%    An efficient algorithm for range computation of polynomials using the
%    Bernstein form,
%    Journal of Global Optimization,
%    Volume 45, 2009, pages 403-426.
%
%  Input:
%
%    integer M, the number of variables.
%
%    integer N, the number of points.
%
%    real X(M,N), the points.
%
%  Output:
%
%    real VALUE(N), the value of the function at X.
%
  g = x(1,1:n) .^2 + x(2,1:n)    - 11.0E+00;
  h = x(1,1:n)     + x(2,1:n).^2 -  7.0E+00;
  value(1:n) = ( g .^2 + h .^2 )';

  return
end


