18 January 2017 09:04:42 PM

LOBATTO_POLYNOMIAL_TEST:
  C version.
  Test the LOBATTO_POLYNOMIAL library.

LOBATTO_POLYNOMIAL_VALUE_TEST:
  LOBATTO_POLYNOMIAL_VALUES stores values of
  the completed Lobatto polynomial L(n,x).
  LOBATTO_POLYNOMIAL_VALUE evaluates the completed Lobatto polynomial.

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

     1        0.2500                    0.9375                    0.9375         0
     2        0.2500                  0.703125                  0.703125         0
     3        0.2500              -0.966796875              -0.966796875         0
     4        0.2500            -1.50146484375            -1.50146484375         0
     5        0.2500         0.363922119140625         0.363922119140625         0
     6        0.2500         2.001914978027344         2.001914978027344     4e-16
     7        0.2500         0.659794807434082         0.659794807434082         0
     8        0.2500        -1.934441328048706        -1.934441328048706         0
     9        0.2500        -1.769941113889217        -1.769941113889217     4e-16
    10        0.2500         1.215243665501475         1.215243665501475    -4e-16
     3       -1.0000                         0                         0         0
     3       -0.9000                   0.86925        0.8692500000000001    -1e-16
     3       -0.8000                     1.188                     1.188    -2e-16
     3       -0.7000                   1.10925                   1.10925     2e-16
     3       -0.6000                     0.768        0.7679999999999998     2e-16
     3       -0.5000                   0.28125                   0.28125         0
     3       -0.4000                    -0.252       -0.2519999999999999    -1e-16
     3       -0.3000                  -0.75075       -0.7507499999999999    -1e-16
     3       -0.2000                    -1.152                    -1.152     2e-16
     3       -0.1000                  -1.41075                  -1.41075         0
     3        0.0000                      -1.5                      -1.5         0
     3        0.1000                  -1.41075                  -1.41075         0
     3        0.2000                    -1.152                    -1.152     2e-16
     3        0.3000                  -0.75075       -0.7507499999999999    -1e-16
     3        0.4000                    -0.252       -0.2519999999999999    -1e-16
     3        0.5000                   0.28125                   0.28125         0
     3        0.6000                     0.768        0.7679999999999998     2e-16
     3        0.7000                   1.10925                   1.10925     2e-16
     3        0.8000                     1.188                     1.188    -2e-16
     3        0.9000                   0.86925        0.8692500000000001    -1e-16
     3        1.0000                         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        0.2500                      -0.5                      -0.5         0
     2        0.2500                    2.4375                    2.4375         0
     3        0.2500                   4.03125                   4.03125         0
     4        0.2500              -3.154296875              -3.154296875         0
     5        0.2500          -10.191650390625          -10.191650390625         0
     6        0.2500        -1.019622802734375        -1.019622802734375         0
     7        0.2500         15.67544555664063         15.67544555664062     5e-15
     8        0.2500         10.97668933868408         10.97668933868408    -2e-15
     9        0.2500        -15.91419786214828        -15.91419786214828     5e-15
    10        0.2500        -24.33202382177114        -24.33202382177114     4e-15
     3       -1.0000                        12                        12         0
     3       -0.9000                      5.67         5.670000000000002    -2e-15
     3       -0.8000                      0.96        0.9600000000000022    -2e-15
     3       -0.7000                     -2.31                     -2.31         0
     3       -0.6000                     -4.32                     -4.32         0
     3       -0.5000                     -5.25                     -5.25         0
     3       -0.4000                     -5.28                     -5.28         0
     3       -0.3000                     -4.59                     -4.59         0
     3       -0.2000                     -3.36                     -3.36     4e-16
     3       -0.1000                     -1.77                     -1.77     2e-16
     3        0.0000                         0                         0         0
     3        0.1000                      1.77                      1.77    -2e-16
     3        0.2000                      3.36                      3.36    -4e-16
     3        0.3000                      4.59                      4.59         0
     3        0.4000                      5.28                      5.28         0
     3        0.5000                      5.25                      5.25         0
     3        0.6000                      4.32                      4.32         0
     3        0.7000                      2.31                      2.31         0
     3        0.8000                     -0.96       -0.9600000000000022     2e-15
     3        0.9000                     -5.67        -5.670000000000002     2e-15
     3        1.0000                       -12                       -12         0

LOBATTO_POLYNOMIAL_PLOT_TEST:
  LOBATTO_POLYNOMIAL_PLOT plots Lobatto polynomials.

  Lobatto value data in 'test_value_data.txt'
  Lobatto value commands in 'test_value_commands.txt'
  Lobatto derivative data stored in 'test_derivative_data.txt'
  Lobatto derivative commands in 'test_derivative_commands.txt'

LOBATTO_POLYNOMIAL_TEST
  Normal end of execution.

18 January 2017 09:04:42 PM