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JacobiEval

Evaluate Jacobi polynomials of order n at single or several points.

Interface 1​

INTERFACE
  MODULE PURE FUNCTION JacobiEval(n, alpha, beta, x) RESULT(ans)
    INTEGER(I4B), INTENT(IN) :: n
    REAL(DFP), INTENT(IN) :: alpha
    REAL(DFP), INTENT(IN) :: beta
    REAL(DFP), INTENT(IN) :: x
    REAL(DFP) :: ans
    !! Evaluate Jacobi polynomial of order n at point x
  END FUNCTION JacobiEval
END INTERFACE

Evaluate Jacobi polynomial of order n at single points.

  • N, the order of polynomial to compute.
  • alpha, beta are parameters
  • x: the point at which the polynomials are to be evaluated.

Interface 2​

INTERFACE
  MODULE PURE FUNCTION JacobiEval(n, alpha, beta, x) RESULT(ans)
    INTEGER(I4B), INTENT(IN) :: n
    REAL(DFP), INTENT(IN) :: alpha
    REAL(DFP), INTENT(IN) :: beta
    REAL(DFP), INTENT(IN) :: x(:)
    REAL(DFP) :: ans(SIZE(x))
    !! Evaluate Jacobi polynomial of order n at point x
  END FUNCTION JacobiEval
END INTERFACE
  • N is order of polynomial to compute.
  • alpha, beta are parameters
  • x: the point at which the polynomials are to be evaluated.
  • ans, the values of the Jacobi polynomials at the several points.