Fri Mar  7 22:36:18 2025

test_opt_con_test():
  python version: 3.10.12
  numpy version:  1.26.4
  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)

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

  Max(F) =  1.7481099495886738
  Min(F) =  -1.0260249556405416
  F(X*)  =  [-1.02619851]

  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)

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

  Max(F) =  1.2633657369174918
  Min(F) =  -1.0002489041798597
  F(X*)  =  [-1.00008911]

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

    I      A(i)      B(i)

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

  Max(F) =  -4.0468065237876754e-07
  Min(F) =  -7.571504041512357
  F(X*)  =  [-7.6315162]

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

    I      A(i)      B(i)

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

  Max(F) =  -1.7834397258437904e-07
  Min(F) =  -9.171143632695673
  F(X*)  =  [-9.19698603]

  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)

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

  Max(F) =  1.01374128612406
  Min(F) =  0.0001455438054764795
  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)

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

  Max(F) =  0.9999999992851416
  Min(F) =  -0.9999999994335469
  F(X*)  =  [-0.99999998]

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

    I      A(i)      B(i)

     0           0          10
     1           0          10

  Max(F) =  3.864911101476699
  Min(F) =  -4.8356136499650875
  X* is not given.

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

    I      A(i)      B(i)

     0           0          10
     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

  Max(F) =  0.09929490105415446
  Min(F) =  -0.09277827268432434
  X* is not given.

test_opt_con_test():
  Normal end of execution.
Fri Mar  7 22:36:38 2025