polyval Interface Reference

Computes the value of the polynomial when applied to a number or list of numbers. More...

Public Member Functions
pure real(dp) function	polyval_1 (p, x)
	Evaluation of a polynomial in a number.
pure real(dp) function, dimension(size(x))	polyval_v (p, x)
	Evaluation of a polynomial in an array of numbers.

Detailed Description

Computes the value of the polynomial when applied to a number or list of numbers.

Examples:

  p1 = arange(5, 1, -1)
  print "(A)", "P(-1)= "//str(polyval(p1, -1._dp)) ! P(-1)= 3
  print "(A)", "P(0) = "//str(polyval(p1, 0._dp))  ! P(0) = 1
  print "(A)", "P(1) = "//str(polyval(p1, 1._dp))  ! P(1) = 15
  ! Polynomial evaluated in an array:
  print "(A)", "P([-1,0,1]) = "//str(polyval(p1, [-1._dp, 0._dp, 1._dp]))
  ! P([-1,0,1]) = [ 3, 1, 15]

Member Function/Subroutine Documentation

polyval_1()

pure real(dp) function polyval_1	(	real(dp), dimension(:), intent(in)	p,
		real(dp), intent(in)	x )

Evaluation of a polynomial in a number.

Returns

Value of polynomial evaluated in x

Parameters

[in]	p	Array of coefficients, from highest degree to constant term
[in]	x	A number at which to evaluate the polynomial

polyval_v()

pure real(dp) function, dimension(size(x)) polyval_v	(	real(dp), dimension(:), intent(in)	p,
		real(dp), dimension(:), intent(in)	x )

Evaluation of a polynomial in an array of numbers.

Parameters

[in]	p	Array of coefficients, from highest degree to constant term
[in]	x	A number at which to evaluate the polynomial

Returns

Polynomial evaluated in x

Examples:

  print "(A)", "Coefficients of P^(1)(x) = "//str(polyder(p1, 1))
  ! Coefficients of P^(1)(x) = [ 20, 12, 6, 2]
  print "(A)", "Coefficients of P^(2)(x) = "//str(polyder(p1, 2))
  ! Coefficients of P^(2)(x) = [ 60, 24, 6]
  print "(A)", "Coefficients of P^(3)(x) = "//str(polyder(p1, 3))
  ! Coefficients of P^(3)(x) = [120, 24]
  print "(A)", "P'([-1,0,1]) = "//str(polyval(polyder(p1, 1), [-1._dp, 0._dp, 1._dp]))
  ! P'([-1,0,1]) = [-12, 2, 40]

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The documentation for this interface was generated from the following file:

• /home/fiol/Trabajos/fortran/numfor/src/interpolate/polynomial.f90