14 January 2017 06:32:19 PM

CHEBYSHEV_SERIES_PRB:
  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"')

-1.0000     1.11022e-16     1.11022e-16    -1.66533e-16    -4.10783e-15
-0.9000     5.55112e-17               0     2.22045e-16     5.55112e-17
-0.8000    -5.55112e-17     5.55112e-17               0               0
-0.7000     5.55112e-17    -1.11022e-16     5.55112e-17     1.66533e-16
-0.6000     1.11022e-16     1.11022e-16               0    -1.11022e-16
-0.5000     2.22045e-16     1.11022e-16    -1.11022e-16               0
-0.4000               0               0    -1.11022e-16     2.22045e-16
-0.3000     1.11022e-16    -1.11022e-16     1.11022e-16               0
-0.2000               0     1.11022e-16               0     3.33067e-16
-0.1000               0               0               0     1.11022e-16
 0.0000     2.22045e-16               0               0               0
 0.1000               0               0    -2.22045e-16               0
 0.2000     2.22045e-16               0    -4.44089e-16               0
 0.3000    -2.22045e-16    -4.44089e-16               0     2.22045e-16
 0.4000     2.22045e-16     2.22045e-16     4.44089e-16               0
 0.5000     2.22045e-16     2.22045e-16     4.44089e-16    -4.44089e-16
 0.6000     2.22045e-16    -2.22045e-16     2.22045e-16               0
 0.7000               0    -4.44089e-16    -4.44089e-16    -8.88178e-16
 0.8000    -4.44089e-16    -4.44089e-16    -4.44089e-16               0
 0.9000               0               0               0               0
 1.0000     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")

 0.0000               0               0    -4.44089e-16
 0.1000    -1.11022e-16    -2.77556e-17               0
 0.2000               0    -5.55112e-17               0
 0.3000               0    -2.22045e-16    -4.44089e-16
 0.4000    -1.11022e-16               0               0
 0.5000               0               0               0
 0.6000               0    -2.22045e-16    -6.66134e-16
 0.7000     5.55112e-17    -2.22045e-16    -4.44089e-16
 0.8000    -1.66533e-16    -2.22045e-16     3.33067e-16
 0.9000    -5.55112e-17               0               0
 1.0000    -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")

 0.0000               0               0               0
 0.1000     2.77556e-17     4.44089e-16     1.38778e-17
 0.2000               0               0               0
 0.3000               0               0               0
 0.4000     1.11022e-16               0               0
 0.5000               0     2.22045e-16               0
 0.6000     2.22045e-16     4.44089e-16     2.22045e-16
 0.7000     2.22045e-16     2.22045e-16     2.22045e-16
 0.8000     1.11022e-16     2.22045e-16     1.11022e-16
 0.9000               0    -2.22045e-16     2.22045e-16
 1.0000     4.44089e-16     4.44089e-16    -2.22045e-16

CHEBYSHEV_SERIES_PRB:
  Normal end of execution.

14 January 2017 06:32:19 PM