23 April 2020 06:31:28 PM

TEST_OPT_CON_TEST
  C++ version
  Test the TEST_OPT_CON library.

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

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) = 1.61628
  Min(F) = -1.02605
  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)

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

  Max(F) = 1.4485
  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)

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

  Max(F) = -9.73845e-06
  Min(F) = -7.60389
  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)

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

  Max(F) = -1.12023e-06
  Min(F) = -9.1646
  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)

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

  Max(F) = 0.989515
  Min(F) = 5.56688e-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)

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

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

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

    I      A(i)      B(i)

     0           0          10
     1           0          10

  Max(F) = 4.14305
  Min(F) = -5.16201
  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) = 0.0859384
  Min(F) = -0.0922961
  X* is not given.

TEST_OPT_CON_TEST
  Normal end of execution.

23 April 2020 06:31:29 PM