theoretica::polynomial< Type > Class Template Reference

A polynomial of arbitrary order. More...

#include <polynomial.h>

Public Member Functions
	polynomial ()
	Initialize as an empty polynomial.
	polynomial (Type a)
	Initialize as a constant.
	polynomial (const std::vector< Type > &c)
	Initialize from an std::vector.
	polynomial (std::initializer_list< Type > l)
	Initialize from an std::initializer_list.
	~polynomial ()
	Default destructor.
const Type &	at (unsigned int i) const
	Get i-th coefficient by constant reference, with bound checking.
Type &	at (unsigned int i)
	Access i-th coefficient by reference, with bound checking.
const Type &	operator[] (unsigned int i) const
	Get the n-th order coefficient by constant reference.
Type &	operator[] (unsigned int i)
	Get the n-th order coefficient by reference.
template<typename EvalType = Type>
EvalType	eval (EvalType x) const
	Evaluate the polynomial using x as variable.
template<typename EvalType = Type>
EvalType	operator() (EvalType x) const
	Evaluate the polynomial using x as variable.
unsigned int	find_order () const
	Find the true order of the polynomial (ignoring trailing null coefficients)
void	trim ()
	Remove trailing zero coefficients.
size_t	size () const
	Get the number of coefficients.
polynomial	operator+ (const polynomial &p) const
	Sum two polynomials.
polynomial	operator- (const polynomial &p) const
	Subtract a polynomial from another.
polynomial	operator* (const polynomial &p) const
	Multiply two polynomials.
polynomial	operator/ (const polynomial &d) const
	Polynomial division.
polynomial	operator* (Type a) const
	Multiply a polynomial by a scalar.
polynomial	operator/ (Type a) const
	Divide a polynomial by a scalar.
polynomial &	operator+= (const polynomial &p)
	Sum a polynomial to this one.
polynomial &	operator-= (const polynomial &p)
	Subtract a polynomial from this one.
polynomial &	operator*= (const polynomial &p)
	Multiply two polynomials.
polynomial &	operator*= (Type a)
	Multiply a polynomial by a scalar value.
polynomial &	operator/= (const polynomial &a)
	Multiply a polynomial by a scalar value.
polynomial &	operator/= (Type a)
	Divide a polynomial by a scalar value.
bool	operator== (const polynomial &other) const
	Check whether two polynomials are equal.
auto	begin ()
	Get an iterator for the first coefficient of the polynomial.
auto	end ()
	Get an iterator for the one plus last coefficient of the polynomial.
auto	cbegin ()
	Get a const iterator for the first coefficient of the polynomial.
auto	cend ()
	Get a const iterator for the one plus last coefficient of the polynomial.
vec< complex<>, 2 >	quadratic_roots () const
	Compute the roots of a quadratic polynomial.
std::string	to_string (const std::string &unknown="x", const std::string &exponentiation="^") const
	Convert the polynomial to string representation.
	operator std::string ()
	Convert the polynomial to string representation.

Static Public Member Functions
static polynomial< Type >	from_roots (const std::vector< Type > &roots)
	Construct a polynomial from its roots.
static polynomial< Type >	monomial (Type c, unsigned int order)
	Returns a monomial of the given degree and coefficient.

Friends
std::ostream &	operator<< (std::ostream &out, const polynomial &obj)
	Stream the polynomial in string representation to an output stream (std::ostream)

Detailed Description

template<typename Type = real>
class theoretica::polynomial< Type >

A polynomial of arbitrary order.

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

• polynomial/polynomial.h