cplx< T > Class Template Reference

Our own complex class. More...

#include <cplx.h>

Public Types
typedef T	value_type
typedef T aligned_value_type	TALIGN(MIN_ALIGN)
typedef T	cplx_base
typedef cplx< T >	cplx_t

Public Member Functions
	cplx ()
	cplx (const T r, const T i=(T) 0)
	cplx (const cplx< T > &c)
template<typename U >
	cplx (const cplx< U > &c)
	~cplx ()
cplx< T > &	operator= (const T r)
cplx< T > &	operator= (const cplx< T > &c)
cplx< T > &	operator+= (const T)
cplx< T > &	operator+= (const cplx< T > &)
cplx< T > &	operator-= (const T)
cplx< T > &	operator-= (const cplx< T > &)
cplx< T > &	operator*= (const T)
cplx< T > &	operator*= (const cplx< T > &)
cplx< T > &	operator/= (const T)
cplx< T > &	operator/= (const cplx< T > &)
cplx< T > &	set (const T r, const T i)
T	real () const
T	imag () const
T &	real ()
T &	imag ()
cplx< T >	operator+ (const cplx< T > &) const
cplx< T >	operator- (const cplx< T > &) const
cplx< T >	operator* (const cplx< T > &) const
cplx< T >	operator/ (const cplx< T > &) const
cplx< T >	plus (const T v) const
cplx< T >	minus (const T v) const
cplx< T >	mult (const T v) const
cplx< T >	div (const T a) const
cplx< T >	operator+ (const T) const
cplx< T >	operator- (const T) const
cplx< T >	operator* (const T) const
cplx< T >	operator/ (const T) const
cplx< T >	operator- () const
cplx< T >	operator~ () const
T	theta () const
cplx< T >	conj () const
cplx< T > &	do_conj ()
double	fabssqr () const
double	fabs () const
double	norm () const
T	abs () const
cplx< T >	exp () const
cplx< T >	sqrt () const
cplx< T >	power (const double) const
cplx< T >	power (const cplx< T > &) const
cplx< T >	ln () const
cplx< T >	sin () const
cplx< T >	cos () const
cplx< T >	sinh () const
cplx< T >	cosh () const
cplx< T >	asin () const
cplx< T >	acos () const
cplx< T >	atan () const
cplx< T >	asinh () const
cplx< T >	acosh () const
cplx< T >	atanh () const
bool	operator== (const cplx< T > &c) const
bool	operator!= (const cplx< T > &c) const
bool	operator> (const cplx< T > &c) const
bool	operator>= (const cplx< T > &c) const
bool	operator< (const cplx< T > &c) const
bool	operator<= (const cplx< T > &c) const

Protected Member Functions
T re	ALIGN (MIN_ALIGN)

Protected Attributes
T re	im

Friends
template<typename U >
class	cplx
cplx< T > dot	FGD (const cplx< T > &, const cplx< T > &)
STD__ ostream &	operator<< FGD (STD__ ostream &, const cplx< T > &)
STD__ istream &	operator>> FGD (STD__ istream &, cplx< T > &)

Detailed Description

template<typename T>
class cplx< T >

Our own complex class.

Definition at line 48 of file cplx.h.

Member Typedef Documentation

cplx_base

template<typename T>

typedef T cplx< T >::cplx_base

Definition at line 67 of file cplx.h.

cplx_t

template<typename T>

typedef cplx<T> cplx< T >::cplx_t

Definition at line 68 of file cplx.h.

TALIGN

template<typename T>

typedef T aligned_value_type cplx< T >::TALIGN(MIN_ALIGN)

Definition at line 66 of file cplx.h.

value_type

template<typename T>

typedef T cplx< T >::value_type

Definition at line 65 of file cplx.h.

Constructor & Destructor Documentation

cplx() [1/4]

template<typename T>

cplx< T >::cplx ( )

inline

Definition at line 71 of file cplx.h.

cplx() [2/4]

template<typename T>

cplx< T >::cplx ( const T  r, const T  i = (T)0  )

inline

Definition at line 72 of file cplx.h.

cplx() [3/4]

template<typename T>

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

inline

Definition at line 73 of file cplx.h.

cplx() [4/4]

template<typename T>

template<typename U >

cplx< T >::cplx ( const cplx< U > &  c )

inlineexplicit

Definition at line 79 of file cplx.h.

~cplx()

template<typename T>

cplx< T >::~cplx ( )

inline

Definition at line 85 of file cplx.h.

Member Function Documentation

abs()

template<typename T >

T cplx< T >::abs ( ) const

inline

Definition at line 411 of file cplx.h.

References abs(), CSTD__, GLBL__, cplx< T >::im, MATH__, sqrt(), and UNLIKELY.

acos()

template<typename T >

cplx< T > cplx< T >::acos

(

)

const

Definition at line 532 of file cplx.h.

References arg(), GLBL__, MATH__, sqr(), and sqrt().

acosh()

template<typename T >

cplx< T > cplx< T >::acosh

(

)

const

Definition at line 546 of file cplx.h.

References arg(), GLBL__, MATH__, sqr(), and sqrt().

ALIGN()

template<typename T>

T re cplx< T >::ALIGN ( MIN_ALIGN  )

protected

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

asin()

template<typename T >

cplx< T > cplx< T >::asin

(

)

const

Definition at line 525 of file cplx.h.

References arg(), GLBL__, cplx< T >::im, MATH__, sqr(), and sqrt().

asinh()

template<typename T >

cplx< T > cplx< T >::asinh

(

)

const

Definition at line 539 of file cplx.h.

References arg(), GLBL__, MATH__, sqr(), and sqrt().

atan()

template<typename T >

cplx< T > cplx< T >::atan

(

)

const

Definition at line 553 of file cplx.h.

References arg(), and cplx< T >::im.

atanh()

template<typename T >

cplx< T > cplx< T >::atanh

(

)

const

Definition at line 560 of file cplx.h.

References arg().

conj()

template<typename T>

cplx<T> cplx< T >::conj ( ) const

inline

Definition at line 158 of file cplx.h.

References cplx< T >::im.

cos()

template<typename T >

cplx< T > cplx< T >::cos

(

)

const

Definition at line 506 of file cplx.h.

References cplx< T >::exp(), exp(), and cplx< T >::im.

cosh()

template<typename T >

cplx< T > cplx< T >::cosh

(

)

const

Definition at line 519 of file cplx.h.

References exp().

div()

template<typename T>

cplx<T> cplx< T >::div ( const T  a ) const

inline

Definition at line 137 of file cplx.h.

References a, cplx< T >::ALIGN(), cplx< T >::im, MIN_ALIGN, REGISTER, and T.

do_conj()

template<typename T>

cplx<T>& cplx< T >::do_conj ( )

inline

Definition at line 162 of file cplx.h.

References cplx< T >::im.

exp()

template<typename T >

cplx< T > cplx< T >::exp ( ) const

inline

Definition at line 473 of file cplx.h.

References exp(), expi(), GLBL__, imag(), MATH__, real(), and TBCI__.

Referenced by cplx< T >::cos(), and cplx< T >::sin().

fabs()

template<typename T >

double cplx< T >::fabs ( ) const

inline

Definition at line 395 of file cplx.h.

References fabs(), GLBL__, cplx< T >::im, MATH__, sqrt(), and UNLIKELY.

fabssqr()

template<typename T>

double cplx< T >::fabssqr ( ) const

inline

Definition at line 164 of file cplx.h.

References cplx< T >::im.

Referenced by cplx< T >::norm(), cplx< T >::operator<(), cplx< T >::operator<=(), cplx< T >::operator>(), and cplx< T >::operator>=().

imag() [1/2]

template<typename T>

T cplx< T >::imag ( ) const

inline

Definition at line 107 of file cplx.h.

References cplx< T >::im.

Referenced by besselh1(), besselh2(), besseli(), besselj(), besselk(), bessely(), and gamma().

imag() [2/2]

template<typename T>

T& cplx< T >::imag ( )

inline

Definition at line 110 of file cplx.h.

References cplx< T >::im.

ln()

template<typename T >

cplx< T > cplx< T >::ln ( ) const

inline

Definition at line 493 of file cplx.h.

References fabs(), GLBL__, log(), MATH__, and cplx< T >::theta().

minus()

template<typename T>

cplx<T> cplx< T >::minus ( const T  v ) const

inline

Definition at line 130 of file cplx.h.

References cplx< T >::im.

mult()

template<typename T>

cplx<T> cplx< T >::mult ( const T  v ) const

inline

Definition at line 133 of file cplx.h.

References cplx< T >::im.

norm()

template<typename T>

double cplx< T >::norm ( ) const

inline

Definition at line 166 of file cplx.h.

References cplx< T >::fabssqr().

operator!=()

template<typename T>

bool cplx< T >::operator!= ( const cplx< T > &  c ) const

inline

Definition at line 190 of file cplx.h.

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

operator*() [1/2]

template<typename T >

cplx< T > cplx< T >::operator* ( const cplx< T > &  a ) const

inline

Definition at line 294 of file cplx.h.

References a, and cplx< T >::im.

operator*() [2/2]

template<typename T >

cplx< T > cplx< T >::operator* ( const T  b ) const

inline

Definition at line 361 of file cplx.h.

References b, and cplx< T >::im.

operator*=() [1/2]

template<typename T >

cplx< T > & cplx< T >::operator*= ( const T  a )

inline

Definition at line 245 of file cplx.h.

References a, and cplx< T >::im.

operator*=() [2/2]

template<typename T >

cplx< T > & cplx< T >::operator*= ( const cplx< T > &  a )

inline

Definition at line 252 of file cplx.h.

References a, ALIGN, cplx< T >::im, MIN_ALIGN, REGISTER, and T.

operator+() [1/2]

template<typename T >

cplx< T > cplx< T >::operator+ ( const cplx< T > &  a ) const

inline

Definition at line 280 of file cplx.h.

References a, and cplx< T >::im.

operator+() [2/2]

template<typename T >

cplx< T > cplx< T >::operator+ ( const T  b ) const

inline

Definition at line 347 of file cplx.h.

References b, and cplx< T >::im.

operator+=() [1/2]

template<typename T >

NAMESPACE_CSTD_END NAMESPACE_TBCI cplx< T > & cplx< T >::operator+= ( const T  a )

inline

Definition at line 218 of file cplx.h.

References a.

operator+=() [2/2]

template<typename T >

cplx< T > & cplx< T >::operator+= ( const cplx< T > &  a )

inline

Definition at line 225 of file cplx.h.

References a, and cplx< T >::im.

operator-() [1/3]

template<typename T >

cplx< T > cplx< T >::operator- ( const cplx< T > &  a ) const

inline

Definition at line 287 of file cplx.h.

References a, and cplx< T >::im.

operator-() [2/3]

template<typename T >

cplx< T > cplx< T >::operator- ( const T  b ) const

inline

Definition at line 354 of file cplx.h.

References b, and cplx< T >::im.

operator-() [3/3]

template<typename T >

cplx< T > cplx< T >::operator- ( ) const

inline

Definition at line 375 of file cplx.h.

References cplx< T >::im.

operator-=() [1/2]

template<typename T >

cplx< T > & cplx< T >::operator-= ( const T  a )

inline

Definition at line 231 of file cplx.h.

References a.

operator-=() [2/2]

template<typename T >

cplx< T > & cplx< T >::operator-= ( const cplx< T > &  a )

inline

Definition at line 238 of file cplx.h.

References a, and cplx< T >::im.

operator/() [1/2]

template<typename T >

cplx< T > cplx< T >::operator/ ( const cplx< T > &  a ) const

inline

Definition at line 307 of file cplx.h.

References a, ALIGN, cplx< T >::im, MIN_ALIGN, REGISTER, and T.

operator/() [2/2]

template<typename T >

cplx< T > cplx< T >::operator/ ( const T  b ) const

inline

Definition at line 368 of file cplx.h.

References b, and cplx< T >::im.

operator/=() [1/2]

template<typename T >

cplx< T > & cplx< T >::operator/= ( const T  a )

inline

Definition at line 262 of file cplx.h.

References a, and cplx< T >::im.

operator/=() [2/2]

template<typename T >

cplx< T > & cplx< T >::operator/= ( const cplx< T > &  a )

inline

Definition at line 268 of file cplx.h.

References a, ALIGN, cplx< T >::im, MIN_ALIGN, REGISTER, and T.

operator<()

template<typename T>

bool cplx< T >::operator< ( const cplx< T > &  c ) const

inline

Definition at line 194 of file cplx.h.

References c, and cplx< T >::fabssqr().

operator<=()

template<typename T>

bool cplx< T >::operator<= ( const cplx< T > &  c ) const

inline

Definition at line 195 of file cplx.h.

References c, and cplx< T >::fabssqr().

operator=() [1/2]

template<typename T>

cplx<T>& cplx< T >::operator= ( const T  r )

inline

Definition at line 89 of file cplx.h.

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

operator=() [2/2]

template<typename T>

cplx<T>& cplx< T >::operator= ( const cplx< T > &  c )

inline

Definition at line 90 of file cplx.h.

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

operator==()

template<typename T>

bool cplx< T >::operator== ( const cplx< T > &  c ) const

inline

Definition at line 189 of file cplx.h.

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

operator>()

template<typename T>

bool cplx< T >::operator> ( const cplx< T > &  c ) const

inline

Definition at line 192 of file cplx.h.

References c, and cplx< T >::fabssqr().

operator>=()

template<typename T>

bool cplx< T >::operator>= ( const cplx< T > &  c ) const

inline

Definition at line 193 of file cplx.h.

References c, and cplx< T >::fabssqr().

operator~()

template<typename T >

cplx< T > cplx< T >::operator~ ( ) const

inline

Definition at line 382 of file cplx.h.

References cplx< T >::im.

plus()

template<typename T>

cplx<T> cplx< T >::plus ( const T  v ) const

inline

Definition at line 127 of file cplx.h.

References cplx< T >::im.

power() [1/2]

template<typename T >

cplx< T > cplx< T >::power ( const double  n ) const

inline

Definition at line 479 of file cplx.h.

References expi(), fabs(), GLBL__, MATH__, pow(), TBCI__, and cplx< T >::theta().

power() [2/2]

template<typename T >

cplx< T > cplx< T >::power

(

const cplx< T > &

z

)

const

Definition at line 485 of file cplx.h.

References exp(), expi(), fabs(), GLBL__, cplx< T >::im, log(), MATH__, T, and cplx< T >::theta().

real() [1/2]

template<typename T>

T cplx< T >::real ( ) const

inline

Definition at line 106 of file cplx.h.

Referenced by besselh1(), besselh2(), besseli(), besselj(), besselk(), bessely(), and gamma().

real() [2/2]

template<typename T>

T& cplx< T >::real ( )

inline

Definition at line 109 of file cplx.h.

set()

template<typename T>

cplx<T>& cplx< T >::set ( const T  r, const T  i  )

inline

Definition at line 104 of file cplx.h.

References i, and cplx< T >::im.

sin()

template<typename T >

cplx< T > cplx< T >::sin

(

)

const

Definition at line 499 of file cplx.h.

References cplx< T >::exp(), exp(), and cplx< T >::im.

sinh()

template<typename T >

cplx< T > cplx< T >::sinh

(

)

const

Definition at line 513 of file cplx.h.

References exp().

sqrt()

template<typename T >

cplx< T > cplx< T >::sqrt

(

)

const

Definition at line 467 of file cplx.h.

References expi(), fabs(), GLBL__, MATH__, sqrt(), TBCI__, and cplx< T >::theta().

theta()

template<typename T >

T cplx< T >::theta

(

)

const

Definition at line 427 of file cplx.h.

References atan2(), cplx< T >::im, LIKELY, pi, and UNLIKELY.

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

Friends And Related Function Documentation

cplx

template<typename T>

template<typename U >

friend class cplx

friend

Definition at line 78 of file cplx.h.

FGD

template<typename T>

cplx<T> dot FGD ( const cplx< T > &  , const cplx< T > &    )

friend

operator<< FGD

template<typename T>

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

friend

operator>> FGD

template<typename T>

STD__ istream& operator>> FGD ( STD__ istream &  , cplx< T > &    )

friend

Member Data Documentation

im

template<typename T>

T re cplx< T >::im

protected

Definition at line 61 of file cplx.h.

Referenced by cplx< T >::abs(), cplx< T >::asin(), cplx< T >::atan(), cplx< T >::conj(), cplx< T >::cos(), cplx< T >::div(), cplx< T >::do_conj(), cplx< T >::fabs(), cplx< T >::fabssqr(), cplx< T >::imag(), cplx< T >::minus(), cplx< T >::mult(), cplx< T >::operator!=(), cplx< T >::operator*(), cplx< T >::operator*=(), cplx< T >::operator+(), cplx< T >::operator+=(), cplx< T >::operator-(), cplx< T >::operator-=(), cplx< T >::operator/(), cplx< T >::operator/=(), cplx< T >::operator=(), cplx< T >::operator==(), cplx< T >::operator~(), cplx< T >::plus(), cplx< T >::power(), cplx< T >::set(), cplx< T >::sin(), sqr(), and cplx< T >::theta().

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

• cplx.h