GA Exercise  Adaptive Landscape
The
Adaptive Landscape
shown earlier is actually the function:
z = ( abs(sin(x))+abs(sin(2*x))+abs(sin(3*x))+abs(sin(5*x)) )
( abs(sin(y))+abs(sin(2*y))+abs(sin(3*y))+abs(sin(5*y)) )
over the range x = 2 to 4,
y = 0.5 to 2.
It was drawn by the following
commands in
gnuplot
on UNIX:
# gnuplot commands to plot a nice mountainous 3d surface
set nocontour
set surface
set hidden3d
# fine granularity:
set isosamples 50
splot [2:4] [0.5:2] ( abs(sin(x))+abs(sin(2*x))+abs(sin(3*x))+abs(sin(5*x)) ) ( abs(sin(y))+abs(sin(2*y))+abs(sin(3*y))+abs(sin(5*y)) )

gnuplot is easy to use.
Type "gnuplot", then it gives you a command line.
Type plot sin(x) just as a demo.
Type help for help topics.
Exercise
 Evolve values of x and y that maximise
this function over this interval.
 Note all fitnesses (z) are negative!
You are searching for the least negative fitness.

Do in your own time.
 Any programming language.
 Demonstrate, using gnuplot or any other plotting program,
your population climbing the mountain,
generation after generation.
 Population size should be 30.

In gnuplot, see plot file with points
(in help plot)
for how to plot a lot of x,y,z points stored in a file
(to plot the individuals on the mountain).
To be handed up:
 Tidy, bound printout of full working code, commented,
in any language.
(Hint: Colour printout in landscape mode
is normally the best way to print out code.)

Pictures of the landscape, with the 30 individuals
climbing on it, generation after generation
until they are reasonably converged on the highest peak.

To print from gnuplot,
plot into a postscript file, then print it.
See set terminal postscript
and set output file
(in help set).