function f = p03_f ( m, n, x )

%*****************************************************************************80
%
%% p03_f() evaluates the M nonlinear functions for problem 3.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    03 March 2026
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    Jorge More, Burton Garbow, and Kenneth Hillstrom,
%    Testing unconstrained optimization software,
%    ACM Transactions on Mathematical Software,
%    Volume 7, pages 17-41, 1981.
%
%  Input:
%
%    integer M, the number of functions.
%
%    integer N, the number of unknowns.
%
%    real X(N), the evaluation point.
%
%  Output:
%
%    real F(M), the value of the functions evaluated at X.
%
  f = zeros ( m, 1 );

  x_sum = 0.0;
  for j = 2 : n - 1
    x_sum = x_sum + j * x(j);
  end

  for i = 1 : m - 1
    f(i) = ( i - 1 ) * x_sum - 1.0;
  end

  f(m) = -1.0;

  return
end
