#include <polynomial.h>
Public Member Functions | |
| Polynomial (void) | |
| Polynomial (double c) | |
| template<typename ... Doubles> | |
| Polynomial (Doubles ... coefficients) | |
| template<unsigned int _Degree> | |
| Polynomial (const Polynomial< 1, _Degree > &p) | |
| template<unsigned int _Degree> | |
| Polynomial & | operator= (const Polynomial< 1, _Degree > &p) |
| const double & | coefficient (unsigned int d) const |
| double & | coefficient (unsigned int d) |
| double | operator() (double x) const |
| Polynomial< 1, Degree-1 > | d (unsigned int d=0) const |
| Polynomial | operator() (const Ray< 1 > &ray) const |
| unsigned int | roots (double *r) const |
| Polynomial | operator* (double s) const |
| Polynomial | operator+ (const Polynomial &p) const |
| template<unsigned int _Degree> | |
| Polynomial< 1, Degree > & | operator= (const Polynomial< 1, _Degree > &p) |
| template<unsigned int Degree> | |
| Polynomial< 1, Degree > | operator+ (const Polynomial< 1, Degree > &p) const |
Private Member Functions | |
| const double & | _coefficient (const unsigned int indices[], unsigned int maxDegree) const |
| double & | _coefficient (const unsigned int indices[], unsigned int maxDegree) |
| double | _evaluate (const double coordinates[], unsigned int maxDegree) const |
| Polynomial | _evaluate (const Ray< 1 > &ray, unsigned int maxDegree) const |
| bool | _isZero (unsigned int maxDegree) const |
| bool | _isConstant (unsigned int maxDegree) const |
Private Attributes | |
| double | _coefficients [Degree+1] |
Detailed Description
class Util::Polynomial< 1, Degree >
A specialized instance of the Polynomial class in one variable
Constructor & Destructor Documentation
◆ Polynomial() [1/4]
| Util::Polynomial< 1, Degree >::Polynomial | ( | void | ) |
The default constructor initializes the coefficients to zero.
◆ Polynomial() [2/4]
| Util::Polynomial< 1, Degree >::Polynomial | ( | double | c | ) |
This constructor creates a constant polynomial
◆ Polynomial() [3/4]
| Util::Polynomial< 1, Degree >::Polynomial | ( | Doubles ... | coefficients | ) |
This constructor initializes the coefficients (starting with lower degrees). If higher degree coefficients are not provided, they are assumed to be zero.
◆ Polynomial() [4/4]
| Util::Polynomial< 1, Degree >::Polynomial | ( | const Polynomial< 1, _Degree > & | p | ) |
The constructor copies over as much of the polynomial as will fit.
Member Function Documentation
◆ _coefficient() [1/2]
|
private |
This method returns the specified coefficient of the polynomial.
◆ _coefficient() [2/2]
|
private |
This method returns the specified coefficient of the polynomial.
◆ _evaluate() [1/2]
|
private |
This method evaluates the polynomial at the specified set of coordinates.
◆ _evaluate() [2/2]
|
private |
This method evaluates a Dim-dimensional polynomial along a Dim-dimensional Ray, and returns the associated 1-dimensional polynomial.
◆ _isConstant()
|
private |
This method returns true if the polynomial is a constant.
◆ _isZero()
|
private |
This method returns true if the polynomial is zero.
◆ coefficient() [1/2]
| double & Util::Polynomial< 1, Degree >::coefficient | ( | unsigned int | d | ) |
This method returns the d-th coefficient.
◆ coefficient() [2/2]
| const double & Util::Polynomial< 1, Degree >::coefficient | ( | unsigned int | d | ) | const |
This method returns the d-th coefficient.
◆ d()
| Polynomial< 1, Degree-1 > Util::Polynomial< 1, Degree >::d | ( | unsigned int | d = 0 | ) | const |
This method returns the derivative of the polynomial.
◆ operator()() [1/2]
| Polynomial< 1, Degree > Util::Polynomial< 1, Degree >::operator() | ( | const Ray< 1 > & | ray | ) | const |
This method returns the 1D polynomial obtained by evaluating the polynomial along the 1D ray.
◆ operator()() [2/2]
| double Util::Polynomial< 1, Degree >::operator() | ( | double | x | ) | const |
This method evaluates the polynomial at a given value.
◆ operator*()
| Polynomial< 1, Degree > Util::Polynomial< 1, Degree >::operator* | ( | double | s | ) | const |
This method returns the scalar multiple of the polynomial
◆ operator+() [1/2]
| Polynomial Util::Polynomial< 1, Degree >::operator+ | ( | const Polynomial< 1, Degree > & | p | ) | const |
This method returns the sum of two polynomials
◆ operator+() [2/2]
| Polynomial< 1, Degree > Util::Polynomial< 1, Degree >::operator+ | ( | const Polynomial< 1, Degree > & | p | ) | const |
◆ operator=() [1/2]
| Polynomial & Util::Polynomial< 1, Degree >::operator= | ( | const Polynomial< 1, _Degree > & | p | ) |
The equality operator copies over as much of the polynomial as will fit.
◆ operator=() [2/2]
| Polynomial< 1, Degree > & Util::Polynomial< 1, Degree >::operator= | ( | const Polynomial< 1, _Degree > & | p | ) |
◆ roots()
| unsigned int Util::Polynomial< 1, Degree >::roots | ( | double * | r | ) | const |
Sets the roots of the polynomial and returns the number of roots set. The method is only specialized for degrees 1, 2, 3, and 4.
Member Data Documentation
◆ _coefficients
|
private |
The coefficients of the polynomial.
The documentation for this class was generated from the following files:
- Assignments/Util/polynomial.h
- Assignments/Util/polynomial.inl
