Rich implementation of complex numbers TBCI::cplx. More...

#include "tbci/basics.h"
#include "tbci/constants.h"
#include "cplx_memalloc.h"

Include dependency graph for cplx.h:

Classes
class	cplx< T >
	Our own complex class. More...

class	cplx< T >
	Our own complex class. More...

Macros
#define	CPLX(t) cplx<t>

#define	CPLXR(t, a, r) cplx<t> a (r)

#define	CPLXRI(t, a, r, i) cplx<t> a (r,i)

#define	CPLXC(t, a, c) cplx<t> a (c)

#define	CPLXVRI(t, r, i) (cplx<t>(r,i))

Functions
template<typename T >
NAMESPACE_END NAMESPACE_CSTD TBCI__ cplx< T >	sqrt (const TBCI__ cplx< T > &z)

template<typename T >
cplx< T >	dot (const cplx< T > &a, const cplx< T > &b)

template<typename T >
cplx< T >	operator+ (const T a, const cplx< T > &b)

template<typename T >
cplx< T >	operator- (const T a, const cplx< T > &b)

template<typename T >
cplx< T >	operator* (const T a, const cplx< T > &b)

template<typename T >
cplx< T >	operator/ (const T a, const cplx< T > &b)

template<typename T >
double	fabssqr (const cplx< T > &c)

template<typename T >
cplx< T >	sqr (const cplx< T > &c)

template<typename T >
cplx< T >	expi (const T phi)

template<typename T >
STD__ ostream &	operator<< (STD__ ostream &os, const cplx< T > &c)

template<typename T >
STD__ istream &	operator>> (STD__ istream &in, cplx< T > &c)

template<typename T >
NAMESPACE_END NAMESPACE_CPLX TBCI__ cplx< T >	conj (const TBCI__ cplx< T > &c)

template<typename T >
T	real (const TBCI__ cplx< T > &z)

template<typename T >
T	imag (const TBCI__ cplx< T > &z)

template<typename T >
T &	real (TBCI__ cplx< T > &z)

template<typename T >
T &	imag (TBCI__ cplx< T > &z)

template<typename T >
T	arg (const TBCI__ cplx< T > &c)

template<typename T >
double	norm (const TBCI__ cplx< T > &c)

template<typename T >
NAMESPACE_CPLX_END NAMESPACE_TBCI TBCI__ cplx< T >	polar (const T &r, const T &p)

template<typename T >
NAMESPACE_END NAMESPACE_CSTD T	abs (const TBCI__ cplx< T > &c)

template<typename T >
double	fabs (const TBCI__ cplx< T > &c)

template<typename T >
TBCI__ cplx< T >	sqrt (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	exp (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	pow (const TBCI__ cplx< T > &z, const double n)

template<typename T >
TBCI__ cplx< T >	pow (const TBCI__ cplx< T > &z, const TBCI__ cplx< T > &x)

template<typename T >
TBCI__ cplx< T >	log (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	sin (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	sinh (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	cos (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	cosh (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	tan (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	tanh (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	asin (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	asinh (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	acos (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	acosh (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	atan (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	atanh (const TBCI__ cplx< T > &z)

template<typename T >
TBCI__ cplx< T >	log10 (const TBCI__ cplx< T > &z)

NAMESPACE_CSTD_END NAMESPACE_TBCI	SPEC_TBCI_TRAITS_LOOP_COPY (TBCI__ cplx< float >)

	SPEC_TBCI_TRAITS_LOOP_COPY (TBCI__ cplx< double >)

	SPEC_TBCI_TRAITS_ALWAYS_COPY (TBCI__ cplx< float > *)

	SPEC_TBCI_TRAITS_ALWAYS_COPY (TBCI__ cplx< double > *)

Detailed Description

Rich implementation of complex numbers TBCI::cplx.

Definition in file cplx.h.

Macro Definition Documentation

◆ CPLX

#define CPLX ( t ) cplx<t>

Definition at line 31 of file cplx.h.

◆ CPLXC

#define CPLXC	(	t,
		a,
		c
	)	cplx<t> a (c)

Definition at line 34 of file cplx.h.

◆ CPLXR

#define CPLXR	(	t,
		a,
		r
	)	cplx<t> a (r)

Definition at line 32 of file cplx.h.

◆ CPLXRI

#define CPLXRI	(	t,
		a,
		r,
		i
	)	cplx<t> a (r,i)

Definition at line 33 of file cplx.h.

◆ CPLXVRI

#define CPLXVRI	(	t,
		r,
		i
	)	(cplx<t>(r,i))

Definition at line 35 of file cplx.h.

Function Documentation

◆ abs()

template<typename T >

NAMESPACE_END NAMESPACE_CSTD T abs ( const TBCI__ cplx< T > & c )

inline

Definition at line 741 of file cplx.h.

References c.

Referenced by cplx< T >::abs().

◆ acos()

template<typename T >

TBCI__ cplx<T> acos ( const TBCI__ cplx< T > & z )

inline

Definition at line 816 of file cplx.h.

◆ acosh()

template<typename T >

TBCI__ cplx<T> acosh ( const TBCI__ cplx< T > & z )

inline

Definition at line 821 of file cplx.h.

◆ arg()

template<typename T >

T arg ( const TBCI__ cplx< T > & c )

inline

Definition at line 690 of file cplx.h.

References c.

Referenced by cplx< T >::acos(), cplx< T >::acosh(), cplx< T >::asin(), cplx< T >::asinh(), cplx< T >::atan(), cplx< T >::atanh(), std::conj(), gamma(), std::real(), zacai_(), zacon_(), zasyi_(), zbesh_(), zbesi_(), zbesj_(), zbesk_(), and zrati_().

◆ asin()

template<typename T >

TBCI__ cplx<T> asin ( const TBCI__ cplx< T > & z )

inline

Definition at line 806 of file cplx.h.

◆ asinh()

template<typename T >

TBCI__ cplx<T> asinh ( const TBCI__ cplx< T > & z )

inline

Definition at line 811 of file cplx.h.

◆ atan()

template<typename T >

TBCI__ cplx<T> atan ( const TBCI__ cplx< T > & z )

inline

Definition at line 826 of file cplx.h.

Referenced by zbknu_(), zlog_(), zsqrt_(), and zunhj_().

◆ atanh()

template<typename T >

TBCI__ cplx<T> atanh ( const TBCI__ cplx< T > & z )

inline

Definition at line 831 of file cplx.h.

◆ conj()

template<typename T >

NAMESPACE_END NAMESPACE_CPLX TBCI__ cplx<T> conj ( const TBCI__ cplx< T > & c )

inline

Definition at line 663 of file cplx.h.

References c.

◆ cos()

template<typename T >

TBCI__ cplx<T> cos ( const TBCI__ cplx< T > & z )

inline

Definition at line 786 of file cplx.h.

Referenced by besselj(), bessely(), expi(), zacai_(), zacon_(), zasyi_(), zbesh_(), zbesi_(), zbesj_(), zbesy_(), zbknu_(), zexp_(), zkscl_(), zseri_(), zshch_(), zsqrt_(), zunhj_(), zuni1_(), zuni2_(), zunk1_(), zunk2_(), zuoik_(), and zwrsk_().

◆ cosh()

template<typename T >

TBCI__ cplx<T> cosh ( const TBCI__ cplx< T > & z )

inline

Definition at line 791 of file cplx.h.

Referenced by zshch_().

◆ dot()

template<typename T >

cplx<T> dot	(	const cplx< T > &	a,
		const cplx< T > &	b
	)

inline

Definition at line 300 of file cplx.h.

References a, and b.

◆ exp()

template<typename T >

TBCI__ cplx<T> exp ( const TBCI__ cplx< T > & z )

inline

Definition at line 756 of file cplx.h.

Referenced by bernoulli(), besselh1(), besselh2(), chi_s(), cplx< T >::cos(), cplx< T >::cosh(), erfc3(), cplx< T >::exp(), poisson(), cplx< T >::power(), cplx< T >::sin(), cplx< T >::sinh(), zbesy_(), zbknu_(), zexp_(), zkscl_(), zmlri_(), zseri_(), zuni1_(), zuni2_(), zunk1_(), zunk2_(), and zuoik_().

◆ expi()

template<typename T >

cplx<T> expi ( const T phi )

Definition at line 460 of file cplx.h.

References ALIGN, cos(), MATH__, MIN_ALIGN, pi, REGISTER, sin(), and T.

Referenced by cplx< T >::exp(), polar(), cplx< T >::power(), and cplx< T >::sqrt().

◆ fabs()

template<typename T >

double fabs ( const TBCI__ cplx< T > & c )

inline

Definition at line 746 of file cplx.h.

References c.

Referenced by cplx< T >::fabs(), cplx< T >::ln(), cplx< T >::power(), and cplx< T >::sqrt().

◆ fabssqr()

template<typename T >

double fabssqr ( const cplx< T > & c )

inline

Definition at line 390 of file cplx.h.

References c.

◆ imag() [1/2]

template<typename T >

T imag ( const TBCI__ cplx< T > & z )

inline

Definition at line 674 of file cplx.h.

Referenced by cplx< T >::exp().

◆ imag() [2/2]

template<typename T >

T& imag ( TBCI__ cplx< T > & z )

inline

Definition at line 684 of file cplx.h.

◆ log()

template<typename T >

TBCI__ cplx<T> log ( const TBCI__ cplx< T > & z )

inline

Definition at line 771 of file cplx.h.

Referenced by arydiv_(), asinh(), basis_trafo(), cgamma_(), conhyp_(), dgamln_(), cplx< T >::ln(), log10(), cplx< T >::power(), zairy_(), zbesh_(), zbesk_(), zbknu_(), zkscl_(), zlog_(), zs1s2_(), zunhj_(), zuni1_(), zuni2_(), zunik_(), zunk1_(), zunk2_(), and zuoik_().

◆ log10()

template<typename T >

TBCI__ cplx<T> log10 ( const TBCI__ cplx< T > & z )

inline

Definition at line 836 of file cplx.h.

References log().

◆ norm()

template<typename T >

double norm ( const TBCI__ cplx< T > & c )

inline

Definition at line 695 of file cplx.h.

References c.

Referenced by operator/(), and Vector< unsigned >::operator/().

◆ operator*()

template<typename T >

cplx<T> operator*	(	const T	a,
		const cplx< T > &	b
	)

inline

Definition at line 336 of file cplx.h.

References a, and b.

◆ operator+()

template<typename T >

cplx<T> operator+	(	const T	a,
		const cplx< T > &	b
	)

inline

Definition at line 317 of file cplx.h.

References a, and b.

◆ operator-()

template<typename T >

cplx<T> operator-	(	const T	a,
		const cplx< T > &	b
	)

inline

Definition at line 323 of file cplx.h.

References a, and b.

◆ operator/()

template<typename T >

cplx<T> operator/	(	const T	a,
		const cplx< T > &	b
	)

inline

Definition at line 342 of file cplx.h.

References a, and b.

◆ operator<<()

template<typename T >

STD__ ostream& operator<<	(	STD__ ostream &	os,
		const cplx< T > &	c
	)

Definition at line 621 of file cplx.h.

References c.

◆ operator>>()

template<typename T >

STD__ istream& operator>>	(	STD__ istream &	in,
		cplx< T > &	c
	)

Definition at line 627 of file cplx.h.

References ALIGN, c, i, MIN_ALIGN, and T.

◆ polar()

template<typename T >

NAMESPACE_CPLX_END NAMESPACE_TBCI TBCI__ cplx<T> polar	(	const T &	r,
		const T &	p
	)

inline

Definition at line 706 of file cplx.h.

References expi(), p, and TBCI__.

◆ pow() [1/2]

template<typename T >

TBCI__ cplx<T> pow	(	const TBCI__ cplx< T > &	z,
		const double	n
	)

inline

Definition at line 761 of file cplx.h.

Referenced by chi_s(), expm(), expm2(), expm3(), fact(), poisson(), and cplx< T >::power().

◆ pow() [2/2]

template<typename T >

TBCI__ cplx<T> pow	(	const TBCI__ cplx< T > &	z,
		const TBCI__ cplx< T > &	x
	)

inline

Definition at line 766 of file cplx.h.

References x.

◆ real() [1/2]

template<typename T >

T real ( const TBCI__ cplx< T > & z )

inline

Definition at line 671 of file cplx.h.

Referenced by cplx< T >::exp().

◆ real() [2/2]

template<typename T >

T& real ( TBCI__ cplx< T > & z )

inline

Definition at line 681 of file cplx.h.

◆ sin()

template<typename T >

TBCI__ cplx<T> sin ( const TBCI__ cplx< T > & z )

inline

Definition at line 776 of file cplx.h.

Referenced by besseli(), besselj(), bessely(), conhyp_(), expi(), zacai_(), zacon_(), zasyi_(), zbesh_(), zbesi_(), zbesj_(), zbesy_(), zbknu_(), zexp_(), zkscl_(), zseri_(), zshch_(), zsqrt_(), zunhj_(), zuni1_(), zuni2_(), zunk1_(), zunk2_(), zuoik_(), and zwrsk_().

◆ sinh()

template<typename T >

TBCI__ cplx<T> sinh ( const TBCI__ cplx< T > & z )

inline

Definition at line 781 of file cplx.h.

Referenced by zshch_().

◆ SPEC_TBCI_TRAITS_ALWAYS_COPY() [1/2]

SPEC_TBCI_TRAITS_ALWAYS_COPY ( TBCI__ cplx< float > * )

◆ SPEC_TBCI_TRAITS_ALWAYS_COPY() [2/2]

SPEC_TBCI_TRAITS_ALWAYS_COPY ( TBCI__ cplx< double > * )

◆ SPEC_TBCI_TRAITS_LOOP_COPY() [1/2]

NAMESPACE_CSTD_END NAMESPACE_TBCI SPEC_TBCI_TRAITS_LOOP_COPY ( TBCI__ cplx< float > )

◆ SPEC_TBCI_TRAITS_LOOP_COPY() [2/2]

SPEC_TBCI_TRAITS_LOOP_COPY ( TBCI__ cplx< double > )

◆ sqr()

template<typename T >

cplx<T> sqr ( const cplx< T > & c )

inline

Definition at line 449 of file cplx.h.

References c, cplx< T >::im, REGISTER, and T.

Referenced by cplx< T >::acos(), cplx< T >::acosh(), cplx< T >::asin(), cplx< T >::asinh(), BiCG(), BiCGSTAB(), CGS(), and QMR().

◆ sqrt() [1/2]

template<typename T >

NAMESPACE_END NAMESPACE_CSTD TBCI__ cplx<T> sqrt ( const TBCI__ cplx< T > & z )

inline

Definition at line 751 of file cplx.h.

Referenced by cplx< T >::abs(), cplx< T >::acos(), cplx< T >::acosh(), cplx< T >::asin(), cplx< T >::asinh(), cplx< T >::fabs(), and cplx< T >::sqrt().

◆ sqrt() [2/2]

template<typename T >

TBCI__ cplx<T> sqrt ( const TBCI__ cplx< T > & z )

inline

Definition at line 751 of file cplx.h.

Referenced by cplx< T >::abs(), cplx< T >::acos(), cplx< T >::acosh(), cplx< T >::asin(), cplx< T >::asinh(), cplx< T >::fabs(), and cplx< T >::sqrt().

◆ tan()

template<typename T >

TBCI__ cplx<T> tan ( const TBCI__ cplx< T > & z )

inline

Definition at line 796 of file cplx.h.

◆ tanh()

template<typename T >

TBCI__ cplx<T> tanh ( const TBCI__ cplx< T > & z )

inline

Definition at line 801 of file cplx.h.

Classes

Macros

Functions

Detailed Description

Macro Definition Documentation

◆ CPLX

◆ CPLXC

◆ CPLXR

◆ CPLXRI

◆ CPLXVRI

Function Documentation

◆ abs()

◆ acos()

◆ acosh()

◆ arg()

◆ asin()

◆ asinh()

◆ atan()

◆ atanh()

◆ conj()

◆ cos()

◆ cosh()

◆ dot()

◆ exp()

◆ expi()

◆ fabs()

◆ fabssqr()

◆ imag() [1/2]

◆ imag() [2/2]

◆ log()

◆ log10()

◆ norm()

◆ operator*()

◆ operator+()

◆ operator-()

◆ operator/()

◆ operator<<()

◆ operator>>()

◆ polar()

◆ pow() [1/2]

◆ pow() [2/2]

◆ real() [1/2]

◆ real() [2/2]

◆ sin()

◆ sinh()

◆ SPEC_TBCI_TRAITS_ALWAYS_COPY() [1/2]

◆ SPEC_TBCI_TRAITS_ALWAYS_COPY() [2/2]

◆ SPEC_TBCI_TRAITS_LOOP_COPY() [1/2]

◆ SPEC_TBCI_TRAITS_LOOP_COPY() [2/2]

◆ sqr()

◆ sqrt() [1/2]

◆ sqrt() [2/2]

◆ tan()

◆ tanh()