cyclotomic.h File Reference

Implements exact arithmetic in cyclotomic fields. More...

#include "regina-core.h"
#include "maths/polynomial.h"
#include "maths/rational.h"
#include <complex>

Classes
class	regina::Cyclotomic
	Represents an element of a cyclotomic field. More...

Namespaces
namespace	regina
	Contains the entire Regina calculation engine.

Functions
void	regina::swap (Cyclotomic &a, Cyclotomic &b) noexcept
	Swaps the contents of the given field elements.
Cyclotomic	regina::operator* (Cyclotomic elt, const Rational &scalar)
	Multiplies the given field element by the given rational.
Cyclotomic	regina::operator* (const Rational &scalar, Cyclotomic elt)
	Multiplies the given field element by the given rational.
Cyclotomic	regina::operator/ (Cyclotomic elt, const Rational &scalar)
	Divides the given field element by the given rational.
Cyclotomic	regina::operator+ (const Cyclotomic &lhs, const Cyclotomic &rhs)
	Adds the two given cyclotomic field elements.
Cyclotomic	regina::operator+ (Cyclotomic &&lhs, const Cyclotomic &rhs)
	Adds the two given cyclotomic field elements.
Cyclotomic	regina::operator+ (const Cyclotomic &lhs, Cyclotomic &&rhs)
	Adds the two given cyclotomic field elements.
Cyclotomic	regina::operator+ (Cyclotomic &&lhs, Cyclotomic &&rhs)
	Adds the two given cyclotomic field elements.
Cyclotomic	regina::operator- (Cyclotomic arg)
	Returns the negative of the given field element.
Cyclotomic	regina::operator- (const Cyclotomic &lhs, const Cyclotomic &rhs)
	Subtracts the two given cyclotomic field elements.
Cyclotomic	regina::operator- (Cyclotomic &&lhs, const Cyclotomic &rhs)
	Subtracts the two given cyclotomic field elements.
Cyclotomic	regina::operator- (const Cyclotomic &lhs, Cyclotomic &&rhs)
	Subtracts the two given cyclotomic field elements.
Cyclotomic	regina::operator- (Cyclotomic &&lhs, Cyclotomic &&rhs)
	Subtracts the two given cyclotomic field elements.
Cyclotomic	regina::operator* (const Cyclotomic &lhs, const Cyclotomic &rhs)
	Multiplies the two given cyclotomic field elements.
Cyclotomic	regina::operator/ (const Cyclotomic &lhs, const Cyclotomic &rhs)
	Divides the two given cyclotomic field elements.

Detailed Description

Implements exact arithmetic in cyclotomic fields.