16-May-2025 09:21:26

test_opt_con_test():
  MATLAB/Octave version 6.4.0
  Test test_opt_con().

test_opt_con_test01():
  For each problem, print the title.

  Problem     Title

       1  f(x) = - exp(prod(x)) * sin(sum(x)).
       2  f(x) = - exp(x(1)*x(2)^2*x(3)^3*x(4)^4) * sin(sum(x)).
       3  f(x) = -1000 * product(x) * exp(-x(1)-2x(2)-3x(3)-4x(4)).
       4  f(x) = -100 * product(x) * exp(-x(4)) / (1+x(1)+x(2)+x(3)).
       5  f(x) = (x(1)-3/11)^2+(x(2)-6/13)^2+(x(3)-12/23)^4+(x(4)-8/37)^6
       6  f(x) = - sin(1/x(1)+1/x(2)+1/x(3)+1/x(4))
       7  f(x) = Langerman2 function
       8  f(x) = Langerman10 function

test_opt_con_test02():
  For each problem, evaluate the function at many points.
  Number of sample points = 100000

  Problem 1
  f(x) = - exp(prod(x)) * sin(sum(x)).
  M = 4

    I      A(i)      B(i)

     1           0           1
     2           0           1
     3           0           1
     4           0           1

  Max(F) = 1.63765
  Min(F) = -1.02609
  F(X*)  = -1.0262

  Problem 2
  f(x) = - exp(x(1)*x(2)^2*x(3)^3*x(4)^4) * sin(sum(x)).
  M = 4

    I      A(i)      B(i)

     1           0           1
     2           0           1
     3           0           1
     4           0           1

  Max(F) = 1.58369
  Min(F) = -1.00024
  F(X*)  = -1.00009

  Problem 3
  f(x) = -1000 * product(x) * exp(-x(1)-2x(2)-3x(3)-4x(4)).
  M = 4

    I      A(i)      B(i)

     1           0           1
     2           0           1
     3           0           1
     4           0           1

  Max(F) = -1.95858e-06
  Min(F) = -7.56206
  F(X*)  = -7.63152

  Problem 4
  f(x) = -100 * product(x) * exp(-x(4)) / (1+x(1)+x(2)+x(3)).
  M = 4

    I      A(i)      B(i)

     1           0           1
     2           0           1
     3           0           1
     4           0           1

  Max(F) = -2.33597e-07
  Min(F) = -9.17038
  F(X*)  = -9.19699

  Problem 5
  f(x) = (x(1)-3/11)^2+(x(2)-6/13)^2+(x(3)-12/23)^4+(x(4)-8/37)^6
  M = 4

    I      A(i)      B(i)

     1           0           1
     2           0           1
     3           0           1
     4           0           1

  Max(F) = 1.06181
  Min(F) = 8.21974e-05
  F(X*)  = 0

  Problem 6
  f(x) = - sin(1/x(1)+1/x(2)+1/x(3)+1/x(4))
  M = 4

    I      A(i)      B(i)

     1           0           1
     2           0           1
     3           0           1
     4           0           1

  Max(F) = 1
  Min(F) = -1
  F(X*)  = -1

  Problem 7
  f(x) = Langerman2 function
  M = 2

    I      A(i)      B(i)

     1           0          10
     2           0          10

  Max(F) = 3.86159
  Min(F) = -4.85538
  X* is not given.

  Problem 8
  f(x) = Langerman10 function
  M = 10

    I      A(i)      B(i)

     1           0          10
     2           0          10
     3           0          10
     4           0          10
     5           0          10
     6           0          10
     7           0          10
     8           0          10
     9           0          10
    10           0          10

  Max(F) = 0.0992315
  Min(F) = -0.0757575
  X* is not given.

test_opt_con_test():
  Normal end of execution.

16-May-2025 09:22:51