Detailed Description

A generic class to handle complex numbers with real precision.

TRestComplex is a class that defines static methods with mathematical operations using complex numbers. This class has been generated by refurbishing the existing ROOT TComplex object and updating the double type by real MPFR types that allow to define an arbitrary precision.

It is possible to redefine the numbers precision as number of digits using TRestComplex::SetPrecision.

Code example inside restRoot:

root [0] TRestComplex::SetPrecision(30)
root [1] TRestComplex a
(TRestComplex &) (1,0i)
root [2] TRestComplex b(1.e-15)
(TRestComplex &) (1e-15,0i)
root [3] TRestComplex c(0,1)
(TRestComplex &) (0,1i)
root [4] TRestComplex d(0,1.e-25)
(TRestComplex &) (0,1e-25i)
root [5] a + b + c + d
(TRestComplex) (1.000000000000001,1.0000000000000000000000001i)
root [6] TRestComplex e = (a+b)/(c+d)
(TRestComplex &) (0,-1.0000000000000009999999999i)

RESTsoft - Software for Rare Event Searches with TPCs

History of developments:

2016-December: First concept. Javier Galan

Author: Javier Galan javie.nosp@m.r.ga.nosp@m.lan@u.nosp@m.niza.nosp@m.r.es

Definition at line 33 of file TRestComplex.h.

#include <TRestComplex.h>

Public Member Functions
mpfr::mpreal	Im () const

	operator Double_t () const

	operator Float_t () const

	operator Int_t () const

TRestComplex	operator() (mpfr::mpreal x, mpfr::mpreal y, Bool_t polar=kFALSE)

TRestComplex	operator* (const TRestComplex &c) const

TRestComplex	operator* (mpfr::mpreal c) const

TRestComplex	*operator=** (const TRestComplex &c)

TRestComplex	operator+ ()

TRestComplex	operator+ (const TRestComplex &c) const

TRestComplex	operator+ (mpfr::mpreal c) const

TRestComplex	operator+= (const TRestComplex &c)

TRestComplex	operator- ()

TRestComplex	operator- (const TRestComplex &c) const

TRestComplex	operator- (mpfr::mpreal c) const

TRestComplex	operator-= (const TRestComplex &c)

TRestComplex	operator/ (const TRestComplex &c) const

TRestComplex	operator/ (mpfr::mpreal c) const

TRestComplex	operator/= (const TRestComplex &c)

mpfr::mpreal	Re () const

mpfr::mpreal	Rho () const

mpfr::mpreal	Rho2 () const

int	Sign (const mpfr::mpreal &re, const mpfr::mpreal &im)

mpfr::mpreal	Theta () const

	TRestComplex (mpfr::mpreal re, mpfr::mpreal im=0, Bool_t polar=kFALSE)
	Standard constructor.

Static Public Member Functions
static mpfr::mpreal	Abs (const TRestComplex &c)

static TRestComplex	ACos (const TRestComplex &c)

static TRestComplex	ACosH (const TRestComplex &c)

static TRestComplex	ASin (const TRestComplex &c)

static TRestComplex	ASinH (const TRestComplex &c)

static TRestComplex	ATan (const TRestComplex &c)

static TRestComplex	ATanH (const TRestComplex &c)

static TRestComplex	Conjugate (const TRestComplex &c)

static TRestComplex	Cos (const TRestComplex &c)

static TRestComplex	CosH (const TRestComplex &c)

static TRestComplex	Exp (const TRestComplex &c)

static int	GetPrecision ()

static TRestComplex	I ()

static Int_t	IsNaN (const TRestComplex &c)

static TRestComplex	Log (const TRestComplex &c)

static TRestComplex	Log10 (const TRestComplex &c)

static TRestComplex	Log2 (const TRestComplex &c)

static TRestComplex	Max (const TRestComplex &a, const TRestComplex &b)

static TRestComplex	Min (const TRestComplex &a, const TRestComplex &b)

static TRestComplex	Normalize (const TRestComplex &c)

static TRestComplex	One ()

static TRestComplex	Power (const TRestComplex &x, const TRestComplex &y)

static TRestComplex	Power (const TRestComplex &x, Int_t y)

static TRestComplex	Power (const TRestComplex &x, mpfr::mpreal y)

static TRestComplex	Power (mpfr::mpreal x, const TRestComplex &y)

static TRestComplex	Range (const TRestComplex &lb, const TRestComplex &ub, const TRestComplex &c)

static void	SetPrecision (Int_t precision)

static TRestComplex	Sin (const TRestComplex &c)

static TRestComplex	SinH (const TRestComplex &c)

static TRestComplex	Sqrt (const TRestComplex &c)

static TRestComplex	Tan (const TRestComplex &c)

static TRestComplex	TanH (const TRestComplex &c)

Protected Attributes
mpfr::mpreal	fIm = 0
	The imaginary part of the complex number using MPFR precision.

mpfr::mpreal	fRe = 1
	The real part of the complex number using MPFR precision.

Friends
TRestComplex	operator* (Double_t d, const TRestComplex &c)

TRestComplex	operator+ (Double_t d, const TRestComplex &c)

TRestComplex	operator- (Double_t d, const TRestComplex &c)

TRestComplex	operator/ (Double_t d, const TRestComplex &c)

std::ostream &	operator<< (std::ostream &out, const TRestComplex &c)

std::istream &	operator>> (std::istream &in, TRestComplex &c)

Member Function Documentation

◆ ACos()

static TRestComplex TRestComplex::ACos ( const TRestComplex & c )

inlinestatic

MUST be implemented

Definition at line 149 of file TRestComplex.h.

◆ ACosH()

static TRestComplex TRestComplex::ACosH ( const TRestComplex & c )

inlinestatic

MUST be implemented

Definition at line 174 of file TRestComplex.h.

◆ ASin()

static TRestComplex TRestComplex::ASin ( const TRestComplex & c )

inlinestatic

MUST be implemented

Definition at line 144 of file TRestComplex.h.

◆ ASinH()

static TRestComplex TRestComplex::ASinH ( const TRestComplex & c )

inlinestatic

MUST be implemented

Definition at line 169 of file TRestComplex.h.

◆ Sign()

int TRestComplex::Sign	(	const mpfr::mpreal &	re,
		const mpfr::mpreal &	im
	)

inline

MUST be implemented

Definition at line 139 of file TRestComplex.h.

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

Detailed Description

Public Member Functions

Static Public Member Functions

Protected Attributes

Friends

Member Function Documentation

◆ ACos()

◆ ACosH()

◆ ASin()

◆ ASinH()

◆ Sign()