TBCI Numerical high perf. C++ Library  2.8.0
Classes | Macros | Functions
cplx.h File Reference

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:

Go to the source code of this file.

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

#define CPLX (   t)    cplx<t>

Definition at line 31 of file cplx.h.

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

Definition at line 34 of file cplx.h.

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

Definition at line 32 of file cplx.h.

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

Definition at line 33 of file cplx.h.

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

Definition at line 35 of file cplx.h.

Function Documentation

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

Definition at line 741 of file cplx.h.

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

Definition at line 816 of file cplx.h.

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

Definition at line 821 of file cplx.h.

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

Definition at line 690 of file cplx.h.

Referenced by cplx< T >::acos(), cplx< T >::acosh(), cplx< T >::asin(), cplx< T >::asinh(), cplx< T >::atan(), cplx< T >::atanh(), std::conj(), for(), gamma(), lev_mar(), LM_fit_2D(), std::real(), zacai_(), zacon_(), zasyi_(), zbesh_(), zbesi_(), zbesj_(), zbesk_(), and zrati_().

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

Definition at line 806 of file cplx.h.

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

Definition at line 811 of file cplx.h.

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_().

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

Definition at line 831 of file cplx.h.

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.

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_().

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

Definition at line 791 of file cplx.h.

Referenced by zshch_().

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

Definition at line 300 of file cplx.h.

References cplx< T >::im.

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_().

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().

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

Definition at line 746 of file cplx.h.

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

Definition at line 390 of file cplx.h.

References cplx< T >::fabssqr().

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

Definition at line 674 of file cplx.h.

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

Definition at line 684 of file cplx.h.

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_().

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

Definition at line 836 of file cplx.h.

References log().

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

Definition at line 695 of file cplx.h.

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

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

Definition at line 336 of file cplx.h.

References cplx< T >::mult().

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

Definition at line 317 of file cplx.h.

References cplx< T >::plus().

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

Definition at line 323 of file cplx.h.

References cplx< T >::minus().

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

Definition at line 342 of file cplx.h.

References cplx< T >::div().

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

Definition at line 621 of file cplx.h.

References cplx< T >::im.

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

Definition at line 627 of file cplx.h.

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

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(), and TBCI__.

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().

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.

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

Definition at line 671 of file cplx.h.

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

Definition at line 681 of file cplx.h.

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_().

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 ( TBCI__ cplx< float > *  )
SPEC_TBCI_TRAITS_ALWAYS_COPY ( TBCI__ cplx< double > *  )
NAMESPACE_CSTD_END NAMESPACE_TBCI SPEC_TBCI_TRAITS_LOOP_COPY ( TBCI__ cplx< float >  )
SPEC_TBCI_TRAITS_LOOP_COPY ( TBCI__ cplx< double >  )
template<typename T >
cplx<T> sqr ( const cplx< T > &  c)
inline

Definition at line 449 of file cplx.h.

References cplx< T >::im, cplx< T >::imag(), cplx< T >::real(), REGISTER, and T.

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

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.

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

Definition at line 751 of file cplx.h.

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

Definition at line 796 of file cplx.h.

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

Definition at line 801 of file cplx.h.

Generated by   doxygen 1.8.5