TBCI Numerical high perf. C++ Library 2.8.0
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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 55 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.

References i, im, and T.

◆ cplx() [3/4]

template<typename T>
cplx< T >::cplx ( const cplx< T > & c)
inline

Definition at line 73 of file cplx.h.

References c, cplx, and im.

◆ 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.

References c, cplx, and im.

◆ ~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__, im, MATH__, sqrt(), T, and UNLIKELY.

Referenced by abs().

◆ acos()

template<typename T>
cplx< T > cplx< T >::acos ( ) const

Definition at line 532 of file cplx.h.

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

◆ ALIGN()

template<typename T>
T re cplx< T >::ALIGN ( MIN_ALIGN )
protected

References im, MIN_ALIGN, and T.

Referenced by div(), operator*=(), operator/(), and operator/=().

◆ asin()

template<typename T>
cplx< T > cplx< T >::asin ( ) const

Definition at line 525 of file cplx.h.

References arg(), cplx, GLBL__, 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(), cplx, 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(), cplx, and im.

◆ atanh()

template<typename T>
cplx< T > cplx< T >::atanh ( ) const

Definition at line 560 of file cplx.h.

References arg(), and cplx.

◆ conj()

template<typename T>
cplx< T > cplx< T >::conj ( ) const
inline

Definition at line 158 of file cplx.h.

References cplx, and im.

◆ cos()

template<typename T>
cplx< T > cplx< T >::cos ( ) const

Definition at line 506 of file cplx.h.

References cplx, exp(), and im.

◆ cosh()

template<typename T>
cplx< T > cplx< T >::cosh ( ) const

Definition at line 519 of file cplx.h.

References cplx, and 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, ALIGN(), cplx, 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, and im.

◆ exp()

template<typename T>
cplx< T > cplx< T >::exp ( ) const
inline

Definition at line 473 of file cplx.h.

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

Referenced by cos(), cosh(), exp(), power(), sin(), and sinh().

◆ fabs()

template<typename T>
double cplx< T >::fabs ( ) const
inline

Definition at line 395 of file cplx.h.

References fabs(), GLBL__, im, MATH__, sqrt(), and UNLIKELY.

Referenced by fabs(), ln(), power(), power(), and sqrt().

◆ fabssqr()

template<typename T>
double cplx< T >::fabssqr ( ) const
inline

Definition at line 164 of file cplx.h.

References im.

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

◆ imag() [1/2]

template<typename T>
T & cplx< T >::imag ( )
inline

Definition at line 110 of file cplx.h.

References im, and T.

◆ imag() [2/2]

template<typename T>
T cplx< T >::imag ( ) const
inline

Definition at line 107 of file cplx.h.

References im, and T.

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

◆ ln()

template<typename T>
cplx< T > cplx< T >::ln ( ) const
inline

Definition at line 493 of file cplx.h.

References cplx, fabs(), GLBL__, log(), MATH__, and 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, im, and T.

◆ mult()

template<typename T>
cplx< T > cplx< T >::mult ( const T v) const
inline

Definition at line 133 of file cplx.h.

References cplx, im, and T.

◆ norm()

template<typename T>
double cplx< T >::norm ( ) const
inline

Definition at line 166 of file cplx.h.

References 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, cplx, and 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, cplx, and 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, cplx, im, and T.

◆ operator*=() [1/2]

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, im, MIN_ALIGN, REGISTER, and T.

◆ operator*=() [2/2]

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

Definition at line 245 of file cplx.h.

References a, cplx, im, 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, cplx, and 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, cplx, im, and T.

◆ operator+=() [1/2]

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

Definition at line 225 of file cplx.h.

References a, cplx, and im.

◆ operator+=() [2/2]

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, cplx, and T.

◆ operator-() [1/3]

template<typename T>
cplx< T > cplx< T >::operator- ( ) const
inline

Definition at line 375 of file cplx.h.

References cplx, and im.

◆ operator-() [2/3]

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

Definition at line 287 of file cplx.h.

References a, cplx, and im.

◆ operator-() [3/3]

template<typename T>
cplx< T > cplx< T >::operator- ( const T b) const
inline

Definition at line 354 of file cplx.h.

References b, cplx, im, and T.

◆ operator-=() [1/2]

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

Definition at line 238 of file cplx.h.

References a, cplx, and im.

◆ operator-=() [2/2]

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

Definition at line 231 of file cplx.h.

References a, cplx, and T.

◆ 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, 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, cplx, im, and T.

◆ operator/=() [1/2]

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, im, MIN_ALIGN, REGISTER, and T.

◆ operator/=() [2/2]

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

Definition at line 262 of file cplx.h.

References a, cplx, im, 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, cplx, and 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, cplx, and fabssqr().

◆ operator=() [1/2]

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

Definition at line 90 of file cplx.h.

References c, cplx, and im.

◆ operator=() [2/2]

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

Definition at line 89 of file cplx.h.

References cplx, im, and T.

◆ operator==()

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

Definition at line 189 of file cplx.h.

References c, cplx, and 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, cplx, and 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, cplx, and fabssqr().

◆ operator~()

template<typename T>
cplx< T > cplx< T >::operator~ ( ) const
inline

Definition at line 382 of file cplx.h.

References cplx, and 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, im, and T.

◆ power() [1/2]

template<typename T>
cplx< T > cplx< T >::power ( const cplx< T > & z) const

Definition at line 485 of file cplx.h.

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

◆ power() [2/2]

template<typename T>
cplx< T > cplx< T >::power ( const double n) const
inline

Definition at line 479 of file cplx.h.

References cplx, expi(), fabs(), GLBL__, MATH__, pow(), TBCI__, and theta().

◆ real() [1/2]

template<typename T>
T & cplx< T >::real ( )
inline

Definition at line 109 of file cplx.h.

References T.

◆ real() [2/2]

template<typename T>
T cplx< T >::real ( ) const
inline

Definition at line 106 of file cplx.h.

References T.

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

◆ 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 cplx, i, im, and T.

◆ sin()

template<typename T>
cplx< T > cplx< T >::sin ( ) const

Definition at line 499 of file cplx.h.

References cplx, exp(), and im.

◆ sinh()

template<typename T>
cplx< T > cplx< T >::sinh ( ) const

Definition at line 513 of file cplx.h.

References cplx, and exp().

◆ sqrt()

template<typename T>
cplx< T > cplx< T >::sqrt ( ) const

Definition at line 467 of file cplx.h.

References cplx, expi(), fabs(), GLBL__, MATH__, sqrt(), TBCI__, and theta().

Referenced by abs(), acos(), acosh(), asin(), asinh(), fabs(), and sqrt().

◆ theta()

template<typename T>
T cplx< T >::theta ( ) const

Definition at line 427 of file cplx.h.

References atan2(), im, LIKELY, pi, T, and UNLIKELY.

Referenced by ln(), power(), power(), and sqrt().

◆ cplx

template<typename T>
template<typename U>
friend class cplx
friend

Definition at line 78 of file cplx.h.

References cplx.

Referenced by acos(), acosh(), asin(), asinh(), atan(), atanh(), besselh1(), besselh2(), besseli(), besselj(), besselk(), bessely(), conj(), cos(), cosh(), cplx(), cplx(), cplx, div(), do_conj(), dot(), exp(), expi(), FGD, gamma(), HypergeometricM(), HypergeometricU(), ln(), minus(), mult(), operator!=(), operator*(), operator*(), operator*=(), operator*=(), operator+(), operator+(), operator+=(), operator+=(), operator-(), operator-(), operator-(), operator-=(), operator-=(), operator/(), operator/(), operator/=(), operator/=(), operator<(), operator<<FGD, operator<=(), operator=(), operator=(), operator==(), operator>(), operator>=(), operator>>FGD, operator~(), plus(), power(), power(), set(), sin(), sinh(), sqr(), and sqrt().

◆ FGD

template<typename T>
cplx< T > dot FGD ( const cplx< T > & ,
const cplx< T > &  )
friend

References cplx, and dot().

Referenced by operator<<FGD, and operator>>FGD.

◆ operator<<FGD

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

References cplx, FGD, and STD__.

◆ operator>>FGD

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

References cplx, FGD, and STD__.

Member Data Documentation

◆ im

template<typename T>
T re cplx< T >::im
protected

Definition at line 61 of file cplx.h.

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

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