18 November 2014   5:00:11.668 PM

LOBATTO_POLYNOMIAL_TEST:
  FORTRAN90 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    0.9375000000000000        0.9375000000000000        0.    
     2        0.2500    0.7031250000000000        0.7031250000000000        0.    
     3        0.2500   -0.9667968750000000       -0.9667968750000000        0.    
     4        0.2500    -1.501464843750000        -1.501464843750000        0.    
     5        0.2500    0.3639221191406250        0.3639221191406250        0.    
     6        0.2500     2.001914978027344         2.001914978027344       0.4E-15
     7        0.2500    0.6597948074340820        0.6597948074340820        0.    
     8        0.2500    -1.934441328048706        -1.934441328048706        0.    
     9        0.2500    -1.769941113889217        -1.769941113889217       0.4E-15
    10        0.2500     1.215243665501475         1.215243665501475      -0.4E-15
     3       -1.0000     0.000000000000000         0.000000000000000        0.    
     3       -0.9000    0.8692500000000000        0.8692500000000001      -0.1E-15
     3       -0.8000     1.188000000000000         1.188000000000000      -0.2E-15
     3       -0.7000     1.109250000000000         1.109250000000000       0.2E-15
     3       -0.6000    0.7680000000000000        0.7679999999999998       0.2E-15
     3       -0.5000    0.2812500000000000        0.2812500000000000        0.    
     3       -0.4000   -0.2520000000000000       -0.2519999999999999      -0.1E-15
     3       -0.3000   -0.7507500000000000       -0.7507499999999999      -0.1E-15
     3       -0.2000    -1.152000000000000        -1.152000000000000       0.2E-15
     3       -0.1000    -1.410750000000000        -1.410750000000000        0.    
     3        0.0000    -1.500000000000000        -1.500000000000000        0.    
     3        0.1000    -1.410750000000000        -1.410750000000000        0.    
     3        0.2000    -1.152000000000000        -1.152000000000000       0.2E-15
     3        0.3000   -0.7507500000000000       -0.7507499999999999      -0.1E-15
     3        0.4000   -0.2520000000000000       -0.2519999999999999      -0.1E-15
     3        0.5000    0.2812500000000000        0.2812500000000000        0.    
     3        0.6000    0.7680000000000000        0.7679999999999998       0.2E-15
     3        0.7000     1.109250000000000         1.109250000000000       0.2E-15
     3        0.8000     1.188000000000000         1.188000000000000      -0.2E-15
     3        0.9000    0.8692500000000000        0.8692500000000001      -0.1E-15
     3        1.0000     0.000000000000000         0.000000000000000        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   -0.5000000000000000       -0.5000000000000000        0.    
     2        0.2500     2.437500000000000         2.437500000000000        0.    
     3        0.2500     4.031250000000000         4.031250000000000        0.    
     4        0.2500    -3.154296875000000        -3.154296875000000        0.    
     5        0.2500    -10.19165039062500        -10.19165039062500        0.    
     6        0.2500    -1.019622802734375        -1.019622802734375        0.    
     7        0.2500     15.67544555664063         15.67544555664063       0.5E-14
     8        0.2500     10.97668933868408         10.97668933868408      -0.2E-14
     9        0.2500    -15.91419786214828        -15.91419786214828       0.5E-14
    10        0.2500    -24.33202382177114        -24.33202382177114       0.4E-14
     3       -1.0000     12.00000000000000         12.00000000000000        0.    
     3       -0.9000     5.670000000000000         5.670000000000002      -0.2E-14
     3       -0.8000    0.9600000000000000        0.9600000000000022      -0.2E-14
     3       -0.7000    -2.310000000000000        -2.310000000000000        0.    
     3       -0.6000    -4.320000000000000        -4.320000000000000        0.    
     3       -0.5000    -5.250000000000000        -5.250000000000000        0.    
     3       -0.4000    -5.280000000000000        -5.280000000000000        0.    
     3       -0.3000    -4.590000000000000        -4.590000000000000        0.    
     3       -0.2000    -3.360000000000000        -3.360000000000000       0.4E-15
     3       -0.1000    -1.770000000000000        -1.770000000000000       0.2E-15
     3        0.0000     0.000000000000000         0.000000000000000        0.    
     3        0.1000     1.770000000000000         1.770000000000000      -0.2E-15
     3        0.2000     3.360000000000000         3.360000000000000      -0.4E-15
     3        0.3000     4.590000000000000         4.590000000000000        0.    
     3        0.4000     5.280000000000000         5.280000000000000        0.    
     3        0.5000     5.250000000000000         5.250000000000000        0.    
     3        0.6000     4.320000000000000         4.320000000000000        0.    
     3        0.7000     2.310000000000000         2.310000000000000        0.    
     3        0.8000   -0.9600000000000000       -0.9600000000000022       0.2E-14
     3        0.9000    -5.670000000000000        -5.670000000000002       0.2E-14
     3        1.0000    -12.00000000000000        -12.00000000000000        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 November 2014   5:00:11.752 PM