07-Jan-2022 22:45:30

lobatto_polynomial_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Test lobatto_polynomial().

lobatto_polynomial_value_test():
  LOBATTO_POLYNOMIAL_VALUE evaluates the completed Lobatto polynomial.

                                       Tabulated                 Computed
     N        X                        L(N,X)                    L(N,X)        Error

     1      0.250000                    0.9375                    0.9375         0
     2      0.250000                  0.703125                  0.703125         0
     3      0.250000                 -0.966797                 -0.966797         0
     4      0.250000                  -1.50146                  -1.50146         0
     5      0.250000                  0.363922                  0.363922         0
     6      0.250000                   2.00191                   2.00191  4.44089e-16
     7      0.250000                  0.659795                  0.659795         0
     8      0.250000                  -1.93444                  -1.93444         0
     9      0.250000                  -1.76994                  -1.76994  4.44089e-16
    10      0.250000                   1.21524                   1.21524  -4.44089e-16
     3     -1.000000                         0                         0         0
     3     -0.900000                   0.86925                   0.86925  -1.11022e-16
     3     -0.800000                     1.188                     1.188  -2.22045e-16
     3     -0.700000                   1.10925                   1.10925  2.22045e-16
     3     -0.600000                     0.768                     0.768  2.22045e-16
     3     -0.500000                   0.28125                   0.28125         0
     3     -0.400000                    -0.252                    -0.252  -1.11022e-16
     3     -0.300000                  -0.75075                  -0.75075  -1.11022e-16
     3     -0.200000                    -1.152                    -1.152  2.22045e-16
     3     -0.100000                  -1.41075                  -1.41075         0
     3      0.000000                      -1.5                      -1.5         0
     3      0.100000                  -1.41075                  -1.41075         0
     3      0.200000                    -1.152                    -1.152  2.22045e-16
     3      0.300000                  -0.75075                  -0.75075  -1.11022e-16
     3      0.400000                    -0.252                    -0.252  -1.11022e-16
     3      0.500000                   0.28125                   0.28125         0
     3      0.600000                     0.768                     0.768  2.22045e-16
     3      0.700000                   1.10925                   1.10925  2.22045e-16
     3      0.800000                     1.188                     1.188  -2.22045e-16
     3      0.900000                   0.86925                   0.86925  -1.11022e-16
     3      1.000000                         0                         0         0

lobatto_polynomial_derivative_test():
  LOBATTO_POLYNOMIAL_DERIVATIVES stores derivatives of
  the completed Lobatto polynomial L(n,x).
  LOBATTO_POLYNOMIAL_DERIVATIVE evaluates the completed Lobatto polynomial.

                                       Tabulated                 Computed
     N        X                        L'(N,X)                   L'(N,X)       Error

     1      0.250000                      -0.5                      -0.5         0
     2      0.250000                    2.4375                    2.4375         0
     3      0.250000                   4.03125                   4.03125         0
     4      0.250000                   -3.1543                   -3.1543         0
     5      0.250000                  -10.1917                  -10.1917         0
     6      0.250000                  -1.01962                  -1.01962         0
     7      0.250000                   15.6754                   15.6754  5.32907e-15
     8      0.250000                   10.9767                   10.9767  -1.77636e-15
     9      0.250000                  -15.9142                  -15.9142  5.32907e-15
    10      0.250000                   -24.332                   -24.332  3.55271e-15
     3     -1.000000                        12                        12         0
     3     -0.900000                      5.67                      5.67  -1.77636e-15
     3     -0.800000                      0.96                      0.96  -2.22045e-15
     3     -0.700000                     -2.31                     -2.31         0
     3     -0.600000                     -4.32                     -4.32         0
     3     -0.500000                     -5.25                     -5.25         0
     3     -0.400000                     -5.28                     -5.28         0
     3     -0.300000                     -4.59                     -4.59         0
     3     -0.200000                     -3.36                     -3.36  4.44089e-16
     3     -0.100000                     -1.77                     -1.77  2.22045e-16
     3      0.000000                         0                         0         0
     3      0.100000                      1.77                      1.77  -2.22045e-16
     3      0.200000                      3.36                      3.36  -4.44089e-16
     3      0.300000                      4.59                      4.59         0
     3      0.400000                      5.28                      5.28         0
     3      0.500000                      5.25                      5.25         0
     3      0.600000                      4.32                      4.32         0
     3      0.700000                      2.31                      2.31         0
     3      0.800000                     -0.96                     -0.96  2.22045e-15
     3      0.900000                     -5.67                     -5.67  1.77636e-15
     3      1.000000                       -12                       -12         0

lobatto_polynomial_plot_test():
  LOBATTO_POLYNOMIAL_PLOT plots Lobatto polynomials.

  Created file "lobatto_polynomial_value.png".
  Created file "lobatto_polynomial_derivative.png".

lobatto_polynomial_test():
  Normal end of execution.

07-Jan-2022 22:45:35