13 August 2025 03:30:22 PM

lagrange_test():
  C++ version
  Test lagrange()

lagrange_basis_antideriv_test():
  lagrange_basis_antideriv() evaluates the antiderivative
  of a Lagrange basis polynomial.
  Created graphics data file 'lagrange_basis_antideriv_data.txt'
  Created graphics data file 'lagrange_basis_antideriv_data2.txt'
  Created graphics command file 'lagrange_basis_antideriv_commands.txt'.
lagrange_basis_coef_test():
  lagrange_basis_coef() returns the coefficients
  for a Lagrange basis polynomial.

  Abscissas:

         0:             -3
         1:             -2
         2:             -1
         3:              0
         4:              1
         5:              2
         6:              3

L(0)(x)

  p(x) =    4.00193e-322 * x ^ 7
         +    0.00138889 * x ^ 6
         -    0.00416667 * x ^ 5
         -    0.00694444 * x ^ 4
         +     0.0208333 * x ^ 3
         +    0.00555556 * x ^ 2
         -     0.0166667 * x

L(1)(x)

  p(x) =    4.00193e-322 * x ^ 7
         -    0.00833333 * x ^ 6
         +     0.0166667 * x ^ 5
         +     0.0833333 * x ^ 4
         -      0.166667 * x ^ 3
         -         0.075 * x ^ 2
         +          0.15 * x

L(2)(x)

  p(x) =    4.00193e-322 * x ^ 7
         +     0.0208333 * x ^ 6
         -     0.0208333 * x ^ 5
         -      0.270833 * x ^ 4
         +      0.270833 * x ^ 3
         +          0.75 * x ^ 2
         -          0.75 * x

L(3)(x)

  p(x) =    4.00193e-322 * x ^ 7
         -     0.0277778 * x ^ 6
         +      0.388889 * x ^ 4
         +   1.11022e-16 * x ^ 3
         -       1.36111 * x ^ 2
         -   5.55112e-17 * x
         +             1

L(4)(x)

  p(x) =    4.00193e-322 * x ^ 7
         +     0.0208333 * x ^ 6
         +     0.0208333 * x ^ 5
         -      0.270833 * x ^ 4
         -      0.270833 * x ^ 3
         +          0.75 * x ^ 2
         +          0.75 * x

L(5)(x)

  p(x) =    4.00193e-322 * x ^ 7
         -    0.00833333 * x ^ 6
         -     0.0166667 * x ^ 5
         +     0.0833333 * x ^ 4
         +      0.166667 * x ^ 3
         -         0.075 * x ^ 2
         -          0.15 * x

L(6)(x)

  p(x) =    4.00193e-322 * x ^ 7
         +    0.00138889 * x ^ 6
         +    0.00416667 * x ^ 5
         -    0.00694444 * x ^ 4
         -     0.0208333 * x ^ 3
         +    0.00555556 * x ^ 2
         +     0.0166667 * x

lagrange_basis_deriv_test():
  lagrange_basis_deriv() evaluates the derivative
  of a Lagrange basis polynomial.
  Created graphics data file 'lagrange_basis_deriv_data.txt'
  Created graphics data file 'lagrange_basis_deriv_data2.txt'
  Created graphics command file 'lagrange_basis_deriv_commands.txt'.
lagrange_basis_deriv2_test():
  lagrange_basis_deriv2() evaluates the second derivative
  of a Lagrange basis polynomial.
  Created graphics data file 'lagrange_basis_deriv2_data.txt'
  Created graphics data file 'lagrange_basis_deriv2_data2.txt'
  Created graphics command file 'lagrange_basis_deriv2_commands.txt'.
lagrange_basis_value_test():
  lagrange_basis_value() evaluates
  a Lagrange basis polynomial.
  Created graphics data file 'lagrange_basis_value_data.txt'
  Created graphics data file 'lagrange_basis_value_data2.txt'
  Created graphics command file 'lagrange_basis_value_commands.txt'.
lagrange_test():
  Normal end of execution.

13 August 2025 03:30:22 PM