Documentation of graf_msh
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Function Synopsis
graf_msh(NumGraphics)
Help text
Create search space visualizations of objective functions
This function defines parameters of standard objective function
for creating 3-D surf/mesh plots.
In a loop the function for creation and plot of the graphics is
called (plotmesh). Then the created graphics are saved to a defined
graphics format using print.
This enables quick creation of a large number of similar plots
without to much interaction. For instance, create one set of graphics
in black and white, create the next in color eps and the third in
color tiff (for conversion to gif for the WWW).
See also: plotmesh
Cross-Reference Information
Listing of function graf_msh
% Author: Hartmut Pohlheim
% History: 11.04.1997 file created
% 09.10.1997 changes for more flexibilty in print format
% 10.10.1997 use cell arrays for storing parameters
% use a loop for plotting and meshing, much better handling
% 23.02.1998 use of cell arrays for streamlined function
% 05.03.2005 added more objective functions and more specific regions
% 08.05.2005 input parameter NumGraphics added for definition of needed
% grafics from command line
function graf_msh(NumGraphics)
if nargin < 1, NumGraphics = []; end
if isempty(NumGraphics), NumGraphics = []; end
ResPathMesh = 'grafics\grafics_mesh\msh_';
% ResPathMesh = 'msh_';
% PrintStyle = {'tiff -r80'};
PrintStyle = {'tiff -r80', 'jpeg80 -r80', 'png -r80'}; % 'epsc2 -tiff -painters',
PrintExt = '';
% PrintExt = '-tiff';
Lan = '_en';
FileSuffix = [Lan '_c']; % '_sw', '_c';
% Standard Points and values of minimum
PStd1 = [ 40, 40];
PStd2 = [ 0, 0];
PStd = [ PStd1; PStd2];
idat = 1; PF = {};
% De Jong's function 1
PFi = [{'objfun1'}, {[-500;500]}, {PStd}, {'f1_500'}]; PF = [PF; PFi];
PFi = [{'objfun1'}, {[ -10; 10]}, {PStd}, {'f1_10'}]; PF = [PF; PFi];
% function 1a
PFi = [{'objfun1a'}, {[-5;5]}, {PStd}, {'f1a_5'}]; PF = [PF; PFi];
PFi = [{'objfun1a'}, {[-5;5]}, {[PStd; -1, 10]}, {'f1a_5_10'}]; PF = [PF; PFi];
% function 1b
PFi = [{'objfun1b'}, {[-50;50]}, {PStd}, {'f1b_50'}]; PF = [PF; PFi];
PFi = [{'objfun1b'}, {[-50;50]}, {[PStd; -10, 1000]}, {'f1b_50_1000'}]; PF = [PF; PFi];
% Pohlheims function 1c
PFi = [{'objfun1c'}, {[-500;500]}, {[PStd1; 5, 10; -10, NaN]}, {'f1c_500'}]; PF = [PF; PFi];
PFi = [{'objfun1c'}, {[-500 10 15 -500;500 10 15 500]}, {[PStd1; 5, 20; -10, NaN]}, {'f1c_v14_500'}]; PF = [PF; PFi];
PFi = [{'objfun1c'}, {[-20 10 15 -5;30 10 15 45]}, {[PStd1; 5, 20; -10, 1000]}, {'f1c_v14_50_1000'}]; PF = [PF; PFi];
% Rosenbrock's function
PFi = [{'objfun2'}, {[ -2; 2]}, {[PStd1; 1, 1; -40, NaN]}, {'f2_2'}]; PF = [PF; PFi];
PFi = [{'objfun2'}, {[ -2; 2]}, {[PStd1; 1, 1; -40, 100]}, {'f2_2_100'}]; PF = [PF; PFi];
PFi = [{'objfun2'}, {[ 0.5;1.5]}, {[PStd1; 1, 1; -4, NaN]}, {'f2_0_5_1_5'}]; PF = [PF; PFi];
PFi = [{'objfun2'}, {[ 0.5;1.5]}, {[PStd1; 1, 1; -2, 5]}, {'f2_0_5_1_5_5'}]; PF = [PF; PFi];
% Rastrigin's function
PFi = [{'objfun6'}, {[-100; 100]}, {[PStd; -5000, NaN]}, {'f6_100'}]; PF = [PF; PFi];
PFi = [{'objfun6'}, {[ -5; 5]}, {[101, 101; PStd2; -20, NaN]}, {'f6_5'}]; PF = [PF; PFi];
PFi = [{'objfun6'}, {[ -1; 1]}, {[PStd; -10, NaN]}, {'f6_1'}]; PF = [PF; PFi];
PFi = [{'objfun6'}, {[ -.5; .5]}, {[PStd; -2, NaN]}, {'f6_0_5'}]; PF = [PF; PFi];
% Schwefel's function
PFi = [{'objfun7'}, {[-500;500]}, {[PStd1; 420.9, 420.9]}, {'f7_500'}]; PF = [PF; PFi];
PFi = [{'objfun7'}, {[-500;-300]}, {[PStd1; 420.9, 420.9]}, {'f7_500_350'}]; PF = [PF; PFi];
PFi = [{'objfun7'}, {[-500; 0]}, {[PStd1; 420.9, 420.9]}, {'f7_500_0'}]; PF = [PF; PFi];
PFi = [{'objfun7'}, {[ 300; 500]}, {[PStd1; 420.9, 420.9]}, {'f7_300_500'}]; PF = [PF; PFi];
PFi = [{'objfun7'}, {[ 000; 500]}, {[PStd1; 420.9, 420.9]}, {'f7_0_500'}]; PF = [PF; PFi];
% Griewangk's function
PFi = [{'objfun8'}, {[-500;500]}, {PStd}, {'f8_500'}]; PF = [PF; PFi];
PFi = [{'objfun8'}, {[ -50; 50]}, {[101, 101; PStd2]}, {'f8_50'} ]; PF = [PF; PFi];
PFi = [{'objfun8'}, {[ -8; 8]}, {[60, 60; PStd2]}, {'f8_8'} ]; PF = [PF; PFi];
% Sum of different power
PFi = [{'objfun9'}, {[ -1; 1]}, {[PStd]}, {'f9_1'}]; PF = [PF; PFi];
% Ackley's path
PFi = [{'objfun10'}, {[ -30; 30]}, {[101, 101; PStd2]}, {'f10_30'}]; PF = [PF; PFi];
PFi = [{'objfun10'}, {[ -2; 2]}, {[101, 101; PStd2]}, {'f10_2'} ]; PF = [PF; PFi];
% Langermann's function
PFi = [{'objfun11'}, {[ 0; 10]}, {[100, 100]}, {'f11_v12_0_10'}]; PF = [PF; PFi];
PFi = [{'objfun11'}, {[0 0 0; 0 10 10]}, {[100, 100]}, {'f11_v23_0_10'}]; PF = [PF; PFi];
PFi = [{'objfun11'}, {[0 7 0; 0 10 3]}, {[100, 100]}, {'f11_v23_7_10'}]; PF = [PF; PFi];
% Michalewicz's function
PFi = [{'objfun12'}, {[ 0; 3]}, {[100, 100]}, {'f12_0_3'} ]; PF = [PF; PFi];
PFi = [{'objfun12'}, {[1.5,1;2.5,2]}, {[PStd1]}, {'f12_1_2'} ]; PF = [PF; PFi];
PFi = [{'objfun12'}, {[0 0 0 0;0 0 3 3]}, {[100, 100]}, {'f12_v34_0_3'}]; PF = [PF; PFi];
% Branin's function
PFi = [{'objbran'}, {[-5,0;10,15]}, {[60, 60; -100, NaN]}, {'bran_0_10'}]; PF = [PF; PFi];
PFi = [{'objbran'}, {[-5,0;10,15]}, {[60, 60; NaN, NaN; -10, 30]}, {'bran_0_10_30'}]; PF = [PF; PFi];
% Easom's function
PFi = [{'objeaso'}, {[ -20; 20]}, {[100, 100; pi, pi]}, {'easo_20'} ]; PF = [PF; PFi];
PFi = [{'objeaso'}, {[ 1; 5]}, {[100, 100; pi, pi; NaN, 0.1]}, {'easo_1_5'}]; PF = [PF; PFi];
% Goldstein/Price's function
PFi = [{'objgold'}, {[ -3; 3]}, {[PStd1; 0, -1; -1e5, NaN]}, {'gold_3'}]; PF = [PF; PFi];
PFi = [{'objgold'}, {[ -3; 3]}, {[PStd1; 0, -1; -100, 1000]}, {'gold_3_1000'}]; PF = [PF; PFi];
PFi = [{'objgold'}, {[ -2, -2; 2, 0]}, {[100, 100; 0, -1; -100, 1000]}, {'gold_2_1000'}]; PF = [PF; PFi];
% six hump camelback function
PFi = [{'objsixh'}, {[-2,-1.5; 2,1.5]}, {[PStd1]}, {'sixh_2_1_5'}]; PF = [PF; PFi];
PFi = [{'objsixh'}, {[-2,-1.1; 2,1.1]}, {[PStd1; NaN, NaN]}, {'sixh_2_1_1'}]; PF = [PF; PFi];
PFi = [{'objsixh'}, {[-2,-1.1; 2,1.1]}, {[PStd1; NaN, NaN; -1, 3]}, {'sixh_2_1_1_3'}]; PF = [PF; PFi];
% Four Wings function
PFi = [{'obj4wings'}, {[-50;50]}, {[101, 101; PStd2]}, {'4wings_c_50'}]; PF = [PF; PFi];
PFi = [{'obj4wings'}, {[-50;50]}, {[101, 101; PStd2; 0, 4]}, {'4wings_c_50_4'}]; PF = [PF; PFi];
% Fractal Mandelbrot function
PFi = [{'objfractal'}, {[-500;500]}, {[101, 101; PStd2]}, {'fractal_c_500'}]; PF = [PF; PFi];
PFi = [{'objfractal'}, {[ -50; 50]}, {[101, 101; PStd2]}, {'fractal_c_50'}]; PF = [PF; PFi];
% FLETcher and PoWELL function
PFi = [{'objfletwell'}, {[-500;500]}, {[101, 101; PStd2]}, {'fletwell_c_500'}]; PF = [PF; PFi];
PFi = [{'objfletwell'}, {[-500;500]}, {[101, 101; PStd2; -100, 5000]}, {'fletwell_c_500_1000'}]; PF = [PF; PFi];
% Ridge function
PFi = [{'objridge'}, {[-50;50]}, {[101, 101; PStd2; -5, 60]}, {'ridge_d_50'}]; PF = [PF; PFi];
PFi = [{'objridge'}, {[-50;50]}, {[101, 101; PStd2; -3, 20]}, {'ridge_d_50_20'}]; PF = [PF; PFi];
% SOLAND function
% PFi = [{'mobjsoland'}, {[0,0;2,3]}, {PStd1}, {'solandm_2_3'}]; PF = [PF; PFi];
if isempty(NumGraphics), NumGraphics = [1:size(PF, 1)]; end
for imesh = NumGraphics,
% for imesh = 1:size(PF, 1),
% PF{imesh,1}, PF{imesh,2}, PF{imesh,3}
plotmesh(PF{imesh,1}, PF{imesh,2}, PF{imesh,3});
for iprint = 1:length(PrintStyle),
eval(['print ' ' -d' PrintStyle{iprint} ' ' PrintExt ' ', ResPathMesh, PF{imesh,4} FileSuffix ';'])
fprintf(1, '%2d: Grafic saved as %s%s%s in %s\n', imesh, ResPathMesh, PF{imesh,4}, FileSuffix, PrintStyle{iprint});
end
end
% End of function
This document is part of
version 3.7 of the
GEATbx: Genetic and Evolutionary Algorithm Toolbox for use with Matlab -
www.geatbx.com.
The Genetic and Evolutionary Algorithm Toolbox is
not public domain.
© 1994-2005 Hartmut Pohlheim, All Rights Reserved,
(support@geatbx.com).