goldpr <- function(xx) { ########################################################################## # # GOLDSTEIN-PRICE FUNCTION # # Authors: Sonja Surjanovic, Simon Fraser University # Derek Bingham, Simon Fraser University # Questions/Comments: Please email Derek Bingham at dbingham@stat.sfu.ca. # # Copyright 2013. Derek Bingham, Simon Fraser University. # # THERE IS NO WARRANTY, EXPRESS OR IMPLIED. WE DO NOT ASSUME ANY LIABILITY # FOR THE USE OF THIS SOFTWARE. If software is modified to produce # derivative works, such modified software should be clearly marked. # Additionally, this program is free software; you can redistribute it # and/or modify it under the terms of the GNU General Public License as # published by the Free Software Foundation; version 2.0 of the License. # Accordingly, this program is distributed in the hope that it will be # useful, but WITHOUT ANY WARRANTY; without even the implied warranty # of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU # General Public License for more details. # # For function details and reference information, see: # http://www.sfu.ca/~ssurjano/ # ########################################################################## # # INPUT: # # xx = c(x1, x2) # ########################################################################## x1 <- xx[1] x2 <- xx[2] fact1a <- (x1 + x2 + 1)^2 fact1b <- 19 - 14*x1 + 3*x1^2 - 14*x2 + 6*x1*x2 + 3*x2^2 fact1 <- 1 + fact1a*fact1b fact2a <- (2*x1 - 3*x2)^2 fact2b <- 18 - 32*x1 + 12*x1^2 + 48*x2 - 36*x1*x2 + 27*x2^2 fact2 <- 30 + fact2a*fact2b y <- fact1*fact2 return(y) }