Complex numbers. More...

#include "pibytearray.h"
#include "pimathbase.h"
#include "pivector2d.h"
#include <complex>

Classes
struct	is_complex< T >
	Type trait that reports whether T is a specialization of `std::complex`. More...

struct	is_complex< std::complex< T > >
	Specialization for complex types. More...

Typedefs
typedef complex< int >	complexi
	Complex integer type.

typedef complex< short >	complexs
	Complex short integer type.

typedef complex< float >	complexf
	Complex single-precision type.

typedef complex< ldouble >	complexld
	Complex extended-precision type.

typedef complex< double >	complexd
	Complex double-precision type.

Functions
const complexd	complexd_i (0., 1.)
	Imaginary unit in double precision.

const complexd	complexd_0 (0.)
	Zero value in double precision.

const complexd	complexd_1 (1.)
	Unity value in double precision.

const complexld	complexld_i (0., 1.)
	Imaginary unit in extended precision.

const complexld	complexld_0 (0.)
	Zero value in extended precision.

const complexld	complexld_1 (1.)
	Unity value in extended precision.

complexd	sign (const complexd &x)
	Returns sign for real and imaginary parts independently.

complexd	round (const complexd &c)
	Round, floor, and ceil functions for complex numbers.

complexd	floor (const complexd &c)
	Floor a complex number.

complexd	ceil (const complexd &c)
	Ceil a complex number.

template<typename T >
PICout	operator<< (PICout s, const complex< T > &v)
	Writes a complex number as `(real; imag)`.

PIVector< double >	abs (const PIVector< complexd > &v)
	Returns magnitudes of all complex elements in the vector.

PIVector2D< double >	abs (const PIVector2D< complexd > &v)
	Returns element-wise magnitudes of a complex matrix.

template<typename T , typename std::enable_if< std::is_floating_point< T >::value, int >::type = 0>
bool	PIMathFloatNullCompare (const T v)
	Checks whether a floating-point value is close to zero. More...

Detailed Description

Complex numbers.

Function Documentation

template<typename T , typename std::enable_if< std::is_floating_point< T >::value, int >::type = 0>

bool PIMathFloatNullCompare ( const T v )

inline

Checks whether a floating-point value is close to zero.

Checks whether a complex value with floating-point components is close to zero.