Test of my global evolutionary optimization program

It seemed that my program works quite well for
global optimization. It even found some new global
minimization point. If possible, I would like to
improve it further and write a paper on this subject.
(For definition of those functions, see
Some new test functions for global
optimization and performance of
repulsive particle swarm method
Sudhanshu Mishra
North-Eastern Hill University, Shillong (India))

For Hougen function, our program find the solution is about
1 1.72812 0.0868823 0.0566724 0.15568 0.868809 as
the standard deviation is 0.298914. (The best result is
Rosenbrock-Quasi-Newton method:
1 1.253031 1.190943 0.062798 0.040063 0.112453. The sum
of squares of deviations is 0.298900994).


--------------------

The Hansen function
f* = -176.541793 Global Solution=9
1 4.97648 -7.70831 -176.542
2 -7.58989 -7.70831 -176.542
3 -1.30671 -1.42513 -176.542
4 -1.30671 4.85806 -176.542
Total finding is 9
The tube holder function a
x* = -10.8723 Global Solution=2
1 1.5706 5.74051e-009 -10.8723
2 -1.5706 -8.72265e-009 -10.8723
Total finding is 2
The tube holder function b
x* = -10.8723 Global Solution=2
1 1.5706 5.75833e-009 -10.8723
2 -1.5706 9.85915e-010 -10.8723
Total finding is 2
The Holder table function
x* = -26.92 Global Solution=4
1 9.64617 9.64617 -26.9203
2 9.64617 -9.64617 -26.9203
3 -9.64617 -9.64617 -26.9203
4 -9.64617 9.64617 -26.9203
Total finding is 4
The Carrom table function
x* = -24.1568155 Global Solution=4
1 -9.64617 -9.64617 -24.1568
2 -9.64617 9.64617 -24.1568
3 9.64617 9.64617 -24.1568
4 9.64617 -9.64617 -24.1568
Total finding is 4
The Cross in tray function
x* = -2.06261218 Global Solution=4
1 1.34941 -1.34941 -2.06261
2 -1.34941 -1.34941 -2.06261
3 1.34941 1.34941 -2.06261
4 -1.34941 1.34941 -2.06261
Total finding is 4
***The Crowned cross function
x* -> 0.0 Global Solution=1
1 9.99995e-016 3.27808e-018 0.0012431
Total finding is 1
***The cross function
x* -> 0.0 Global Solution=4
1 -1.34941 -1.34941 4.84822e-009
2 1.34941 -1.34941 4.84822e-009
3 1.34941 1.34941 4.84822e-009
4 -1.34941 1.34941 4.84822e-009
Total finding is 4
*****Cross-leg table function:
x* -> -1.0 Global Solution=1
1 -6.74913e-018 9.99978e-016 -7.48396e-006
Total finding is 1
Pen holder function:
x* -> -0.96354 Global Solution=1
1 9.64617 9.64617 -0.963535
2 9.64617 -9.64617 -0.963535
3 -9.64617 9.64617 -0.963535
4 -9.64617 -9.64617 -0.963535
Total finding is 4
Bird function:
x* -> -106.764537 Global Solution=1
1 -1.58214 -3.13025 -106.765
2 4.70104 3.15294 -106.765
Total finding is 2
Modified Schaffer function #1:
x* = 0 Global Solution=1
1 3.24218e-007 -3.02404e-007 0
Total finding is 1
Modified Schaffer function #2:
x* = 0 Global Solution=1
1 -3.42333e-007 2.56129e-007 0
2 0.00139488 -0.00139456 0
3 0.00211379 -0.00211354 0
4 0.0024989 -0.00249896 0
Total finding is 133
Modified Schaffer function #3:
x* = 0.00156685(0,1.253115) Global Solution=1
1 41.0424 -41.0615 3.66026e-007
Total finding is 1
Modified Schaffer function #4:
x* = f (0, 1.253132) = 0.292579 Global Solution=1
1 -41.7439 41.7251 0.291927
Total finding is 1
Styblinski-Tang function
x* =f (-2.903534, -2.903534)=-78.332 Global Solution=1
1 -2.90353 -2.90353 -78.3323
Total finding is 1
Bukin function f6
x* =f (-10, 1)=0 Global Solution=1
1 -10.0009 1.00018 1.13323e-005
Total finding is 1
Giunta function:
x* =f (0.45834282, 0.45834282) =0.0602472184 Global Solution=1
(Wrong! f (0.45834282, 0.45834282) =0.0646388)
1 0.46732 0.46732 0.0644704
Total finding is 1
Schaffer function
x* =f (0, 0) =0 Global Solution=1
1 -2.06858e-010 -1.61139e-009 0
Total finding is 1
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