function f = goldstein_price_xy ( x, y ) %*****************************************************************************80 % %% GOLDSTEIN_PRICE_XY evaluates the Goldstein-Price polynomial. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 09 February 2008 % % Author: % % John Burkardt % % Reference: % % Zbigniew Michalewicz, % Genetic Algorithms + Data Structures = Evolution Programs, % Third Edition, % Springer Verlag, 1996, % ISBN: 3-540-60676-9, % LC: QA76.618.M53. % % Parameters: % % Input, real X, Y, the arguments of the function. % % Output, real F, the value of the function at X. % a = x + y + 1.0; b = 19.0 - 14.0 * x + 3.0 * x * x - 14.0 * y ... + 6.0 * x * y + 3.0 * y * y; c = 2.0 * x - 3.0 * y; d = 18.0 - 32.0 * x + 12.0 * x * x + 48.0 * y ... - 36.0 * x * y + 27.0 * y * y; f = ( 1.0 + a * a * b ) * ( 30.0 + c * c * d ); return end