% Gramacy-Lee's Function # 1
% Range of initial points: 0.5 <= x <= 2.5
% Global minima: x=0.548563444114526
% f(x)=-0.869011134989500
% Coded by: Ali R. Alroomi | Last Update: 23 July 2015 | www.al-roomi.org
 
clear
clc
warning off
 
xmin=0.5;
xmax=2.5;
R=100000; % steps resolution
x=xmin:(xmax-xmin)/R:xmax;
 
for i=1:length(x)
    f(i)=sin(10*pi*x(i))/(2*x(i))+(x(i)-1)^4;
end
 
plot(x,f,'r','LineWidth',2);grid;set(gca,'FontSize',12);
xlabel('x','FontName','Times','FontSize',20,'FontAngle','italic');
ylabel('f(x)','FontName','Times','FontSize',20,'FontAngle','italic');