03 March 2024 09:41:34 AM

zero_itp_test():
  C++ version
  Test zero_itp(), which seeks a root of a function F(X)
  in an interval [A,B].

  f_01(x) = sin ( x ) - x / 2

      A                 Z             B
    F(A)              F(Z)          F(B)

               1         1.89549               2
        0.341471    -2.22045e-14      -0.0907026
  Number of calls to F = 8
  Tolerance epsi = 1.49012e-08
  Parameters k1 = 0.2, k2 = 2, n0 = 1

  f_02(x) = 2 * x - exp ( - x )

      A                 Z             B
    F(A)              F(Z)          F(B)

               0        0.351734               1
              -1     6.36341e-11         1.63212
  Number of calls to F = 8
  Tolerance epsi = 1.49012e-08
  Parameters k1 = 0.2, k2 = 2, n0 = 1

  f_03(x) = x * exp ( - x )

      A                 Z             B
    F(A)              F(Z)          F(B)

              -1     2.51342e-12             0.5
        -2.71828     2.51342e-12        0.303265
  Number of calls to F = 8
  Tolerance epsi = 1.49012e-08
  Parameters k1 = 0.133333, k2 = 2, n0 = 1

  f_04(x) = exp ( x ) - 1 / ( 100 * x * x )

      A                 Z             B
    F(A)              F(Z)          F(B)

          0.0001       0.0953446              20
         -999999     3.37748e-07     4.85165e+08
  Number of calls to F = 31
  Tolerance epsi = 1.49012e-08
  Parameters k1 = 0.0100001, k2 = 2, n0 = 1

  f_05(x) = (x+3) * (x-1) * (x-1)

      A                 Z             B
    F(A)              F(Z)          F(B)

              -5              -3               2
             -72               0               5
  Number of calls to F = 2
  Tolerance epsi = 1.49012e-08
  Parameters k1 = 0.0285714, k2 = 2, n0 = 1

  User has requested additional verbose output.
  step   [a,    b]    x    f(x)

0[1,2] 1.5-0.125
1[1.5,2] 1.565150.268999
2[1.5,1.56515] 1.521520.000827384
3[1.5,1.52152] 1.52128-0.00056417

  f_06(x) = x^3 - x - 2

      A                 Z             B
    F(A)              F(Z)          F(B)

               1          1.5214               2
              -2     0.000131544               4
  Number of calls to F = 4
  Tolerance epsi = 0.0005
  Parameters k1 = 0.2, k2 = 2, n0 = 1

zero_itp_test():
  Normal end of execution.

03 March 2024 09:41:34 AM