Polynomial functions. More...

Functions/Subroutines
pure double precision function	evaluate_polynomial (x, coefficients)
	Evaluate a polynomial at x such that \( P(x) = \sum_{i=0} a_i x^i \).

pure double precision function, dimension(size(coeffs1)+size(coeffs2) -1)	multiply_polynomials (coeffs1, coeffs2)
	Multiply a polynomial by another one.

pure double precision function, dimension(size(coefficients) -1)	derivate_polynomial (coefficients)
	Derivate a polynomial defined by its N coefficients.

recursive pure double precision function, dimension(size(coefficients) -m)	derivate_polynomial_m (coefficients, m)
	Derivate M times a polynomial defined by its N coefficients.

pure double precision function, dimension(size(coefficients)+1)	integrate_polynomial (coefficients)
	Integrate a polynomial defined by its N coefficients.

pure double precision function	evaluate_polynomial_integral (x1, x2, coefficients)
	Integrate the polynomial in the given interval.

pure double precision function	evaluate_polynomial_mean (x1, x2, coefficients)
	Compute the mean value of the polynomial in the given interval.

pure double precision function, dimension(n)	get_xvector (x, n)
	Get the vector made of the powers of x.

Detailed Description

Polynomial functions numerical evaluation. Can also multiply, derivate, integrate, etc. a polynomial.

Function/Subroutine Documentation

◆ derivate_polynomial()

pure double precision function, dimension(size(coefficients)-1) mod_interpolation_polynomial::derivate_polynomial ( double precision, dimension(:), intent(in) coefficients )

Returns: The result is a coefficient list of size N-1

Note: The constant is set to 0

◆ derivate_polynomial_m()

recursive pure double precision function, dimension(size(coefficients)-m) mod_interpolation_polynomial::derivate_polynomial_m	(	double precision, dimension(:), intent(in)	coefficients,
		integer, intent(in)	m )

Returns: The result is a coefficient list of size N-M

Note: The constant is set to 0

◆ evaluate_polynomial()

pure double precision function mod_interpolation_polynomial::evaluate_polynomial	(	double precision, intent(in)	x,
		double precision, dimension(:), intent(in)	coefficients )

Parameters

[in]	x	the position where to evaluate
[in]	coefficients	an array of the associated coefficients

◆ evaluate_polynomial_integral()

pure double precision function mod_interpolation_polynomial::evaluate_polynomial_integral	(	double precision, intent(in)	x1,
		double precision, intent(in)	x2,
		double precision, dimension(:), intent(in)	coefficients )

Returns: The mean of the polynomial evaluated in the interval [x1,x2]

◆ evaluate_polynomial_mean()

pure double precision function mod_interpolation_polynomial::evaluate_polynomial_mean	(	double precision, intent(in)	x1,
		double precision, intent(in)	x2,
		double precision, dimension(:), intent(in)	coefficients )

Returns: The mean of the polynomial evaluated in the interval [x1,x2]

◆ get_xvector()

pure double precision function, dimension(n) mod_interpolation_polynomial::get_xvector	(	double precision, intent(in)	x,
		integer, intent(in)	n )