Spline::Polynomial< T > Class Template Reference

A simple polynomial class, p(x) = sum_{i=0}^n coef[i]*x^i. More...

#include <Polynomial.h>

Public Member Functions
	Polynomial ()
	Initializes to the 0 polynomial.
	Polynomial (T c)
	Initializes to a constant polynomial.
	Polynomial (const std::vector< T > &_coef)
	Sets the coefficient vector.
	Polynomial (const Polynomial< T > &p)
	Copy constructor.
template<class T2 >
	Polynomial (const Polynomial< T2 > &p)
	cast constructor
void	Resize (size_t s)
size_t	Size () const
	Size is the size of the coefficient vector. Similar to Degree but disregarding leading 0 coefficients.
int	Degree () const
	The degree of the polynomial. Correctly handles leading 0 coefficients.
void	SetCoef (size_t i, T value)
	Sets coefficient i. Automatically resizes the coefficient vector.
T	GetCoef (size_t i) const
	Gets coefficient i. If i is out of bounds of the coefficient vector, returns 0.
std::ostream &	operator<< (std::ostream &out) const
	Pretty-prints this.
T	Evaluate (T x) const
	Evaluates the polynomial at x.
Polynomial< T >	Evaluate (const Polynomial< T > &x) const
	Evaluates the polynomial given another polynomial as x.
T	Derivative (T x) const
	Evaluates the derivative at x.
T	Derivative (T x, int n) const
	Evaluates the n'th derivative at x.
Polynomial< T >	Differentiate () const
	Returns the derivative of this polynomial.
Polynomial< T >	AntiDifferentiate () const
	Returns the antiderivative of this polynomial.
Polynomial< T >	Differentiate (int n) const
T	operator() (T x) const
	The operator (x) is equivalent to evaluation.
Polynomial< T >	operator() (const Polynomial< T > &x) const
	The operator (x) is equivalent to evaluation.
void	operator+= (T val)
	Adds a constant offset.
void	operator-= (T val)
	Subtracts a constant offset.
void	operator*= (T b)
	Scales by a constant.
void	operator/= (T b)
	Divides by a constant (if b is 0, unexpected results will hold)
void	operator+= (const Polynomial< T > &b)
	Adds a polynomial offset.
void	operator-= (const Polynomial< T > &b)
	Subtracts a polynomial offset.
void	operator*= (const Polynomial< T > &b)
	Scales by a polynomial.

Public Attributes
std::vector< T >	coef

Detailed Description

template<class T = double>
class Spline::Polynomial< T >

A simple polynomial class, p(x) = sum_{i=0}^n coef[i]*x^i.

Member Function Documentation

template<class T >

Polynomial< T > Spline::Polynomial< T >::Differentiate

(

int

n

)

const

return the n'th derivative of this polynomial if n < 0, returns the -n'th antiderivative

References Spline::Polynomial< T >::AntiDifferentiate(), Spline::Polynomial< T >::Differentiate(), and Spline::Polynomial< T >::Size().

---

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

• Polynomial.h