18 February 2020 08:17:30 AM

CHEBYSHEV_SERIES_TEST:
  C++ version
  Test the CHEBYSHEV_SERIES libary.

TEST01:
  ECHEBSER3 computes a Chebyshev series approximation
  and the first three derivatives.

  Errors of a Chebyshev series for exp(x)

    x        err(y)       err(y')       err(y")      err(y"')

   -1   1.11022e-16   1.11022e-16  -1.66533e-16  -4.10783e-15
 -0.9   5.55112e-17             0   2.22045e-16   5.55112e-17
 -0.8  -5.55112e-17   5.55112e-17             0             0
 -0.7   5.55112e-17  -1.11022e-16   5.55112e-17   1.66533e-16
 -0.6   1.11022e-16   1.11022e-16             0  -1.11022e-16
 -0.5   2.22045e-16   1.11022e-16  -1.11022e-16             0
 -0.4             0             0  -1.11022e-16   2.22045e-16
 -0.3   1.11022e-16  -1.11022e-16   1.11022e-16             0
 -0.2             0   1.11022e-16             0   3.33067e-16
 -0.1             0             0             0   1.11022e-16
    0   2.22045e-16             0             0             0
  0.1             0             0  -2.22045e-16             0
  0.2   2.22045e-16             0  -4.44089e-16             0
  0.3  -2.22045e-16  -4.44089e-16             0   2.22045e-16
  0.4   2.22045e-16   2.22045e-16   4.44089e-16             0
  0.5   2.22045e-16   2.22045e-16   4.44089e-16  -4.44089e-16
  0.6   2.22045e-16  -2.22045e-16   2.22045e-16             0
  0.7             0  -4.44089e-16  -4.44089e-16  -8.88178e-16
  0.8  -4.44089e-16  -4.44089e-16  -4.44089e-16             0
  0.9             0             0             0             0
    1   4.44089e-16             0             0  -7.99361e-15

TEST02:
  EVENCHEBSER2 computes an even Chebyshev series
  and its first two derivatives.

  Errors of an even Chebyshev series for cos(pi*x/2):

    x        err(y)       err(y')       err(y")

    0             0             0  -4.44089e-16
  0.1  -1.11022e-16  -2.77556e-17             0
  0.2             0  -5.55112e-17             0
  0.3             0  -2.22045e-16  -4.44089e-16
  0.4  -1.11022e-16             0             0
  0.5             0             0             0
  0.6             0  -2.22045e-16  -6.66134e-16
  0.7   5.55112e-17  -2.22045e-16  -4.44089e-16
  0.8  -1.66533e-16  -2.22045e-16   3.33067e-16
  0.9  -5.55112e-17             0             0
    1  -5.77629e-17  -2.22045e-16   1.51085e-16

TEST03:
  ODDCHEBSER2 computes an odd Chebyshev series approximation.
  and its first two derivatives.

  Errors of an odd Chebyshev series y(x) approximating sinh(x):

    x        err(y)       err(y')       err(y")

    0             0             0             0
  0.1   2.77556e-17   4.44089e-16   1.38778e-17
  0.2             0             0             0
  0.3             0             0             0
  0.4   1.11022e-16             0             0
  0.5             0   2.22045e-16             0
  0.6   2.22045e-16   4.44089e-16   2.22045e-16
  0.7   2.22045e-16   2.22045e-16   2.22045e-16
  0.8   1.11022e-16   2.22045e-16   1.11022e-16
  0.9             0  -2.22045e-16   2.22045e-16
    1   4.44089e-16   4.44089e-16  -2.22045e-16

CHEBYSHEV_SERIES_TEST:
  Normal end of execution.

18 February 2020 08:17:30 AM