#include <polynomial.hh>

Public Member Functions
	Polynomial_1d (std::string const &polynomial_name, Real const xmin, Real const xmax, Real const min_val, Real const max_val, Real const root1, Real const root2, Size degree, utility::vector1< Real > const &coefficients)
	ctor More...

	Polynomial_1d (Polynomial_1d const &src)

virtual	~Polynomial_1d ()

void	check_invariants () const

std::string	name () const

Real	xmin () const

Real	xmax () const

Real	min_val () const

Real	max_val () const

Real	root1 () const

Real	root2 () const

Size	degree () const

utility::vector1< Real > const &	coefficients () const

void	operator() (double const variable, double &value, double &deriv) const
	Evaluate the polynomial and its derivative. More...

double	eval (double const variable)
	just evaluate the polynomial, w/o derivatives More...

void	show (std::ostream &out) const

Public Member Functions inherited from utility::pointer::ReferenceCount
	ReferenceCount ()
	Default constructor. More...

virtual	~ReferenceCount ()

Private Attributes
std::string	polynomial_name_

Real	xmin_

Real	xmax_

Real	min_val_

Real	max_val_

Real	root1_

Real	root2_

Size	degree_

utility::vector1< Real >	coefficients_

Additional Inherited Members
Public Types inherited from utility::pointer::ReferenceCount
typedef platform::Size	Size

typedef platform::Size	size_type

Constructor & Destructor Documentation

numeric::Polynomial_1d::Polynomial_1d	(	std::string const &	polynomial_name,
		Real const	xmin,
		Real const	xmax,
		Real const	min_val,
		Real const	max_val,
		Real const	root1,
		Real const	root2,
		Size	degree,
		utility::vector1< Real > const &	coefficients
	)

ctor

References check_invariants().

numeric::Polynomial_1d::Polynomial_1d ( Polynomial_1d const & src )

References check_invariants().

numeric::Polynomial_1d::~Polynomial_1d ( )

virtual

Member Function Documentation

void numeric::Polynomial_1d::check_invariants ( ) const

References coefficients_, degree_, xmax_, and xmin_.

Referenced by Polynomial_1d().

vector1< Real > const & numeric::Polynomial_1d::coefficients ( ) const

References coefficients_.

Size numeric::Polynomial_1d::degree ( ) const

References degree_.

double numeric::Polynomial_1d::eval ( double const variable )

just evaluate the polynomial, w/o derivatives

References coefficients_, degree_, max_val_, min_val_, value, xmax_, and xmin_.

Real numeric::Polynomial_1d::max_val ( ) const

References max_val_.

Real numeric::Polynomial_1d::min_val ( ) const

References min_val_.

string numeric::Polynomial_1d::name ( ) const

References polynomial_name_.

void numeric::Polynomial_1d::operator()	(	double const	variable,
		double &	value,
		double &	deriv
	)		const

Evaluate the polynomial and its derivative.

evaluate the polynomial and its derivative.

operator()

Detailed:

Parameters

variable	- [in] - evaluate polynomial(value)
value	- [out] - returned output
deriv	- [out] - returned output

Global Read:

Global Write:

Remarks: Note the coefficients must be in reverse order: low to high

Polynomial value and derivative using Horner's rule value = Sum_(i = 1,...,N) [ coeff_i * variable^(i-1) ] deriv = Sum_(i = 2,...,N) [ ( i - 1 ) * coeff_i * variable^(i-2) ] JSS: Horner's rule for evaluating polynomials is based on rewriting the polynomial as: JSS: p(x) = a0 + x*(a1 + x*(a2 + x*(... x*(aN)...))) JSS: or value_k = a_k + x*value_k+1 for k = N-1 to 0 JSS: and the derivative is JSS: deriv_k = value_k+1 + deriv_k+1 for k = N-1 to 1