ComplexNumber Concept Reference

Definition

Describes a complex number type that does not use square root.

Refines

Field

Has models

CGAL::Complex_number

Types
typedef unspecified_type	FT
	Field number type: must be a model of FieldNumberType.

Creation
	ComplexNumber ()
	Default constructor, sets the both the real part and the imaginary part to \( 0 \).
	ComplexNumber (const FT &real_part)
	Constructor, sets the real part to real_part and the imaginary part to \( 0 \).
	ComplexNumber (const FT &real_part, const FT &imaginary_part)
	Constructor, sets the real part to real_part and the imaginary part to imaginary_part .
template<class U , class V >
	Complex_number (U &&real_part, V &&imaginary_part)
	Constructor, sets the real part to real_part and the imaginary part to imaginary_part .

Get and Set
void	real (const FT &real_part)
	sets the real part to real_part .
void	imag (const FT &imaginary_part)
	sets the imaginary part to imaginary_part .
FT	real () const
	returns the real part.
FT	imag () const
	returns the imaginary part.

Operations
FT	norm (Complex_number< FT > z) const
	returns the square of the modulus.
ComplexNumber< FT >	conj (Complex_number< FT > z) const
	returns the conjugate.
ComplexNumber< FT >	operator+ (const ComplexNumber< FT > &z) const
	returns +z.
ComplexNumber< FT >	operator- (const ComplexNumber< FT > &z) const
	returns -z.
ComplexNumber< FT >	operator+= (const ComplexNumber< FT > &other) const
	Unary complex addition.
ComplexNumber< FT >	operator-= (const ComplexNumber< FT > &other) const
	Unary complex substraction.
ComplexNumber< FT >	operator*= (const ComplexNumber< FT > &other) const
	Unary complex multiplication.
ComplexNumber< FT >	operator/= (const ComplexNumber< FT > &other) const
	Unary complex division.
ComplexNumber< FT >	operator= (const ComplexNumber< FT > &other) const
	Copy operator.
bool	operator== (const Complex_number< FT > &z1, const Complex_number< FT > &z2)
	Equality test.
bool	operator!= (const Complex_number< FT > &z1, const Complex_number< FT > &z2)
	Inequality test.
Complex_number< FT >	operator+ (const Complex_number< FT > &z1, const Complex_number< FT > &z2)
	Binary complex addition.
Complex_number< FT >	operator- (const Complex_number< FT > &z1, const Complex_number< FT > &z2)
	Binary complex substraction.
Complex_number< FT >	operator* (const Complex_number< FT > &z1, const Complex_number< FT > &z2)
	Binary complex multiplication.
Complex_number< FT >	operator/ (const Complex_number< FT > &z1, const Complex_number< FT > &z2)
	Binary complex division.
std::ostream &	operator<< (std::ostream &s, const Complex_number< FT > &z)
	writes the complex in a stream.
void	operator>> (std::istream &s, Complex_number< FT > &z)
	reads the complex from a stream.