16 April 2024   4:47:23.125 PM

polynomial_conversion_test():
  Fortran77 version
  Test polynomial_conversion().

chebyshev_to_monomial_test ( )
  chebyshev_to_monomial() converts a
  polynomial from Chebyshev form
  to monomial form.

          X**0    X**1    X**2    X**3    X**4    X**5    X**6    

T0(x) =   1.000
T1(x) =   0.000   1.000
T2(x) =  -1.000   0.000   2.000
T3(x) =   0.000  -3.000   0.000   4.000
T4(x) =   1.000   0.000  -8.000   0.000   8.000
T5(x) =   0.000   5.000   0.000 -20.000   0.000  16.000
T6(x) =  -1.000   0.000  18.000   0.000 -48.000   0.000  32.000

monomial_to_chebyshev_test ( )
  monomial_to_chebyshev() converts a
  polynomial from monomial form to 
  Chebyshev form.

        T0(x)   T1(x)   T2(x)   T3(x)   T4(x)   T5(x)   T6(x)   

X**0 =  2.00000
X**1 =  0.00000 1.00000
X**2 =  0.50000 0.00000 0.50000
X**3 =  0.00000 0.75000 0.00000 0.25000
X**4 =  0.37500 0.00000 0.50000 0.00000 0.12500
X**5 =  0.00000 0.62500 0.00000 0.31250 0.00000 0.06250
X**6 =  0.31250 0.00000 0.46875 0.00000 0.18750 0.00000 0.03125

chebyshev_monomial_chebyshev_test ( )
  Convert a polynomial from Chebyshev form
  to monomial form and back.

  L2 difference =   0.833460E-13

gegenbauer_to_monomial_matrix_test ( )
  gegenbauer_to_monomial_matrix() returns the
  matrix which converts a polynomial from
  Gegenbauer form to monomial form.
  alpha =   0.500000    

  A:

 1.00000 0.00000-0.50000 0.00000 0.37500
 0.00000 1.00000 0.00000-1.50000 0.00000
 0.00000 0.00000 1.50000 0.00000-3.75000
 0.00000 0.00000 0.00000 2.50000 0.00000
 0.00000 0.00000 0.00000 0.00000 4.37500

legendre_to_monomial_matrix_test ( )
  legendre_to_monomial_matrix() returns the
  matrix which converts a polynomial from
  Legendre form to monomial form.

  A:

 1.00000 0.00000-0.50000-0.00000 0.37500
 0.00000 1.00000 0.00000-1.50000-0.00000
 0.00000 0.00000 1.50000 0.00000-3.75000
 0.00000 0.00000 0.00000 2.50000 0.00000
 0.00000 0.00000 0.00000 0.00000 4.37500

polynomial_conversion_test():
  Normal end of execution.
16 April 2024   4:47:23.125 PM