triqs::operators::real_or_complex

#include <triqs/utility/real_or_complex.hpp>

Detailed Description

Type that can represent either a real or a complex number.

Internally stores a std::complex<double> and a bool flag indicating whether the imaginary part is known to be zero.

Arithmetic operations (+, -, *, /) and compound assignment operations (+=, -=, *=, /=) are provided for all combinations of real_or_complex, std::complex<double> and double operands. The result is real if and only if both operands are real.

Once the value is considered complex, conversion back to real throws.

Definition at line 56 of file real_or_complex.hpp.

Public Member Functions
	real_or_complex ()
	Default construct a real value initialized to zero.
	real_or_complex (double x)
	Construct a real value.
	real_or_complex (std::complex< double > x)
	Construct a complex value.
bool	is_real () const
	Whether the stored value is real.
	operator double () const
	Explicit conversion to double.
	operator std::complex< double > () const
	Explicit conversion to std::complex<double>.
bool	operator!= (real_or_complex const &x) const
	Not-equal-to operator compares the underlying complex values exactly.
bool	operator== (real_or_complex const &x) const
	Equal-to operator compares the underlying complex values exactly.

Friends
double	abs (real_or_complex const &x)
	Absolute value of a utility::real_or_complex value.
real_or_complex	conj (real_or_complex x)
	Complex conjugate of a utility::real_or_complex value.
double	imag (real_or_complex const &x)
	Imaginary part of a utility::real_or_complex value.
bool	is_zero (real_or_complex const &x, double tolerance=100 *std::numeric_limits< double >::epsilon())
	Zero check for a utility::real_or_complex value.
real_or_complex	operator- (real_or_complex a)
	Unary minus operator for a utility::real_or_complex value.
std::ostream &	operator<< (std::ostream &out, real_or_complex const &x)
	Write a utility::real_or_complex value to an output stream.
double	real (real_or_complex const &x)
	Real part of a utility::real_or_complex value.

Constructor & Destructor Documentation

real_or_complex() [1/2]

triqs::utility::real_or_complex::real_or_complex ( double x )

inline

Construct a real value.

Parameters

x	Real value to store.

Definition at line 68 of file real_or_complex.hpp.

real_or_complex() [2/2]

triqs::utility::real_or_complex::real_or_complex ( std::complex< double > x )

inline

Construct a complex value.

Parameters

x	Complex value to store.

Definition at line 74 of file real_or_complex.hpp.

Member Function Documentation

is_real()

bool triqs::utility::real_or_complex::is_real ( ) const

inline

Whether the stored value is real.

Returns

True if the stored value is real, false if it is complex.

Definition at line 80 of file real_or_complex.hpp.

operator double()

triqs::utility::real_or_complex::operator double ( ) const

inlineexplicit

Explicit conversion to double.

It throws a triqs::runtime_error if the stored value is complex.

Returns

The real part of the stored value.

Definition at line 93 of file real_or_complex.hpp.

operator std::complex< double >()

triqs::utility::real_or_complex::operator std::complex< double > ( ) const

inlineexplicit

Explicit conversion to std::complex<double>.

Returns

The stored value as a complex number.

Definition at line 86 of file real_or_complex.hpp.

operator!=()

bool triqs::utility::real_or_complex::operator!= ( real_or_complex const & x ) const

inline

Not-equal-to operator compares the underlying complex values exactly.

Parameters

x	Value to compare against.

Returns

True if the underlying complex values differ, false otherwise.

Definition at line 190 of file real_or_complex.hpp.

operator==()

bool triqs::utility::real_or_complex::operator== ( real_or_complex const & x ) const

inline

Equal-to operator compares the underlying complex values exactly.

Parameters

x	Value to compare against.

Returns

True if the underlying complex values are exactly equal, false otherwise.

Definition at line 182 of file real_or_complex.hpp.

Friends And Related Symbol Documentation

abs

double abs ( real_or_complex const & x )

friend

Absolute value of a utility::real_or_complex value.

Parameters

x	Value to inspect.

Returns

The absolute value.

Definition at line 131 of file real_or_complex.hpp.

conj

real_or_complex conj ( real_or_complex x )

friend

Complex conjugate of a utility::real_or_complex value.

Parameters

x	Value to conjugate.

Returns

The complex conjugate.

Definition at line 139 of file real_or_complex.hpp.

imag

double imag ( real_or_complex const & x )

friend

Imaginary part of a utility::real_or_complex value.

Parameters

x	Value to inspect.

Returns

The imaginary part.

Definition at line 123 of file real_or_complex.hpp.

is_zero

bool is_zero ( real_or_complex const & x, double tolerance = 100 * std::numeric_limits<double>::epsilon() )

friend

Zero check for a utility::real_or_complex value.

Parameters

x	Value to test.
tolerance	Absolute tolerance \( \epsilon \).

Returns

True if the absolute values of real and imaginary parts are both less than \( \epsilon \), false otherwise.

Definition at line 152 of file real_or_complex.hpp.

operator-

real_or_complex operator- ( real_or_complex a )

friend

Unary minus operator for a utility::real_or_complex value.

Parameters

a	Value to negate.

Returns

Negated value.

Definition at line 104 of file real_or_complex.hpp.

operator<<

std::ostream & operator<< ( std::ostream & out, real_or_complex const & x )

friend

Write a utility::real_or_complex value to an output stream.

Parameters

out	Output stream to write to.
x	Value to write.

Returns

Reference to the output stream.

Definition at line 165 of file real_or_complex.hpp.

real

double real ( real_or_complex const & x )

friend

Real part of a utility::real_or_complex value.

Parameters

x	Value to inspect.

Returns

The real part.

Definition at line 115 of file real_or_complex.hpp.

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

• triqs/utility/real_or_complex.hpp