Fractional Number. More...

#include <TFracNum.h>

Public Member Functions
	TFracNum ()
	Default constructor with numerator and denominator set to 1.
	TFracNum (Int_t mN, Int_t mD, Int_t N, Int_t D, Int_t s)
	Constructor using the internal representation of the class.
	TFracNum (Int_t inom, Int_t iden)
	Constructor by the integer values of the numerator and denominator.
	TFracNum (Int_t N, Int_t D, const char *s)
	Constructor when numerator and denominator are factorial numbers, N!/D!
Int_t	DenomCommonDivisor (const TFracNum &) const
	Largest common divisor of numerator and denominator.
TFracNum *	SumSignedRoots (TFracNum *)
	The return value c satisfies ssqrt(c)=ssqrt(a)+ssqrt(b)
const char *	FracString ()
	String in the form Num/Den. If Den=1, only Num is given.
const char *	FracStringSqrt ()
	String of the square-root in the form `Num/Den#RNum/RDen`
Double_t	Print () const
	Complete information about the fractional number is put to cout.
Double_t	PrintToErr () const
	Complete information about the fractional number is put to cerr.
Double_t	Dval ()
	Return the double-precision real value.
Bool_t	Sqrt ()
	Try square root operation.
Bool_t	FlipSign ()
	Flip sign of number.
Bool_t	Abs ()
	Force sign to plus.
Bool_t	Invert ()
	Inversion of number, so nominator and denumerator are flipped.
Int_t	GetSign ()
	Return sign as +1 (also for zero or undefined number) or -1.
Int_t	GetNumerator ()
	Return numerator.
Int_t	GetDenominator ()
	Return denominator.
Bool_t	PrintDifference (const TFracNum &) const
	Output some comparative values for two fractional numbers.
char *	HeaderString ()
	String containing NOM and DEN.
Bool_t	operator== (const TFracNum &) const
	Check whether two fractional numbers are equal.
Bool_t	operator> (const TFracNum &) const
	Check whether left-hand number is greater than right-hand number.
TFracNum	operator* (const TFracNum &) const
	Multiply two fractional numbers.
TFracNum	operator+ (const TFracNum &) const
	Add two fractional numbers.
Bool_t	SetINTs ()

Private Attributes
Int_t	maxPrimNom
Int_t	maxPrimDen
Int_t *	NOM
Int_t *	DEN
Int_t	sign_prefac
Int_t	NOM_INT
Int_t	DEN_INT
Double_t	dvalue

Detailed Description

Fractional Number.

Fractional number with numerator and denominator represented by their prime number decomposition.
Some arithmetical operations are included but not complete.

Author: Jan.F.nosp@m.ried.nosp@m.rich@.nosp@m.ph.t.nosp@m.um.de

Definition at line 38 of file TFracNum.h.

Constructor & Destructor Documentation

TFracNum::TFracNum ( )

inline

Default constructor with numerator and denominator set to 1.

Definition at line 71 of file TFracNum.h.

References DEN, maxPrimDen, maxPrimNom, NOM, and sign_prefac.

TFracNum::TFracNum	(	Int_t	mN,
		Int_t	mD,
		Int_t *	N,
		Int_t *	D,
		Int_t	s
	)

Constructor using the internal representation of the class.

Parameters

mN	index of the largest prime number in the numerator
mD	index of the largest prime number in the denominator
N	Field of exponents of the numerator's prime numbers up to mN
D	Field of exponents of the denominator's prime numbers up to mD
s	Sign variable 1 or -1 depending on the sign s =-6666 means "undetermined" (this is for example a consequence of a division zero by zero) -7777 means "infinity" (for example a consequence of division by zero)

Definition at line 13 of file TFracNum.cc.

References D(), debugFracNum, i, and Int_t.

TFracNum::TFracNum	(	Int_t	inom,
		Int_t	iden
	)

Constructor by the integer values of the numerator and denominator.

Parameters

inom	numerator
iden	denominator

Definition at line 73 of file TFracNum.cc.

References debugFracNum, Double_t, i, Int_t, MAXPRIMSQUARED, NPRIMFIELD, and PRIMES.

TFracNum::TFracNum	(	Int_t	N,
		Int_t	D,
		const char *	s
	)

Constructor when numerator and denominator are factorial numbers, N!/D!

This method is much faster than giving the factorials to TFracNum(inom, iden)

Parameters

N	numerator
D	denominator
s	control string. For described function, set to "factorial", otherwise the number is set to 1

Definition at line 32 of file TFracNum.cc.

References D(), debugFracNum, i, Int_t, NPRIMFIELD, and PRIMES.

Member Function Documentation

Bool_t TFracNum::Abs ( )

Force sign to plus.

Definition at line 311 of file TFracNum.cc.

Referenced by ClebschGordanBox::ClebschGordan(), ClebschGordanInteger(), and SumSignedRoots().

Int_t TFracNum::DenomCommonDivisor ( const TFracNum & b ) const

Largest common divisor of numerator and denominator.

Definition at line 246 of file TFracNum.cc.

References DEN, i, Int_t, maxPrimDen, and PRIMES.

Double_t TFracNum::Dval ( )

inline

Return the double-precision real value.

Definition at line 140 of file TFracNum.h.

References dvalue.

Referenced by TSpinWaveFunction::CheckCGFormula(), and SumSignedRoots().

Bool_t TFracNum::FlipSign ( )

Flip sign of number.

Definition at line 304 of file TFracNum.cc.

Referenced by TLSContrib::Add(), ClebschGordanBox::ClebschGordan(), ClebschGordanInteger(), SumSignedRoots(), and TLSContrib::TLSContrib().

const char * TFracNum::FracString ( )

String in the form Num/Den. If Den=1, only Num is given.

Definition at line 623 of file TFracNum.cc.

References IOUTSTRING.

Referenced by TSpinWaveFunction::CheckCGFormula(), and ClebschGordanBox::ClebschGordan().

const char * TFracNum::FracStringSqrt ( )

String of the square-root in the form Num/Den#RNum/RDen

All numbers after the '#' are to be square-rooted, so Num/Den#RNum/RDen=Num/Den*sqrt(RNum/RDen)

Definition at line 643 of file TFracNum.cc.

References Bool_t, Int_t, IOUTSTRING, NULLSTRING, PRIMES, and SQUAREROOT_CHAR.

Referenced by TLSContrib::TLSContrib().

Int_t TFracNum::GetDenominator ( )

inline

Return denominator.

Definition at line 163 of file TFracNum.h.

References DEN_INT.

Referenced by TJSS::PrintHFILE().

Int_t TFracNum::GetNumerator ( )

inline

Return numerator.

Definition at line 160 of file TFracNum.h.

References NOM_INT.

Referenced by TJSS::PrintHFILE().

Int_t TFracNum::GetSign ( )

Return sign as +1 (also for zero or undefined number) or -1.

Definition at line 350 of file TFracNum.cc.

Referenced by ClebschGordanBox::ClebschGordan(), ClebschGordanInteger(), and TJSS::PrintHFILE().

char * TFracNum::HeaderString ( )

String containing NOM and DEN.

Definition at line 405 of file TFracNum.cc.

Bool_t TFracNum::Invert ( )

Inversion of number, so nominator and denumerator are flipped.

Definition at line 320 of file TFracNum.cc.

References Int_t.

Referenced by TLSContrib::Add(), ClebschGordanBox::ClebschGordan(), ClebschGordanInteger(), TLSNonRel::PrintG(), and TLSContrib::TLSContrib().

TFracNum TFracNum::operator* ( const TFracNum & b ) const

Multiply two fractional numbers.

Definition at line 434 of file TFracNum.cc.

References debugFracNum, DEN, i, Int_t, maxPrimDen, maxPrimNom, NOM, and sign_prefac.

TFracNum TFracNum::operator+ ( const TFracNum & b ) const

Add two fractional numbers.

Definition at line 423 of file TFracNum.cc.

References DEN_INT, Int_t, NOM_INT, and sign_prefac.

Bool_t TFracNum::operator== ( const TFracNum & b ) const

Check whether two fractional numbers are equal.

Definition at line 356 of file TFracNum.cc.

References DEN, i, Int_t, maxPrimDen, maxPrimNom, NOM, and sign_prefac.

Bool_t TFracNum::operator> ( const TFracNum & b ) const

Check whether left-hand number is greater than right-hand number.

Definition at line 416 of file TFracNum.cc.

References dvalue.

Double_t TFracNum::Print ( ) const

Complete information about the fractional number is put to cout.

Definition at line 511 of file TFracNum.cc.

References debugFracNum, Double_t, i, Int_t, and PRIMES.

Referenced by ClebschGordanBox::ClebschGordan(), and ClebschGordanInteger().

Bool_t TFracNum::PrintDifference ( const TFracNum & b ) const

Output some comparative values for two fractional numbers.

Definition at line 369 of file TFracNum.cc.

References DEN, i, Int_t, maxPrimDen, maxPrimNom, NOM, and sign_prefac.

Double_t TFracNum::PrintToErr ( ) const

Complete information about the fractional number is put to cerr.

Definition at line 568 of file TFracNum.cc.

References Double_t, i, Int_t, and PRIMES.

Bool_t TFracNum::SetINTs ( )

Definition at line 207 of file TFracNum.cc.

References Double_t, Int_t, and PRIMES.

Referenced by ClebschGordanBox::ClebschGordan().

Bool_t TFracNum::Sqrt ( )

Try square root operation.

In case of success, return true. In case this does not lead to a fractional number, the number is left untouched and return value is false

Definition at line 281 of file TFracNum.cc.

References debugFracNum, i, and Int_t.

Referenced by ClebschGordanBox::ClebschGordan(), ClebschGordanInteger(), and SumSignedRoots().

TFracNum * TFracNum::SumSignedRoots ( TFracNum * b )

The return value c satisfies ssqrt(c)=ssqrt(a)+ssqrt(b)

Here the signed square root function ssqrt(n)=sign(n)*sqrt(abs(n)) is used

Definition at line 259 of file TFracNum.cc.

References Abs(), Bool_t, Dval(), FlipSign(), Sqrt(), and TFracNum_Two().

Referenced by TLSContrib::Add(), TTensorTerm::AddTwoTerms(), and TLSContrib::TLSContrib().

Member Data Documentation

Int_t* TFracNum::DEN

private

Definition at line 55 of file TFracNum.h.

Referenced by DenomCommonDivisor(), operator*(), operator==(), PrintDifference(), and TFracNum().

Int_t TFracNum::DEN_INT

private

Definition at line 66 of file TFracNum.h.

Referenced by GetDenominator(), and operator+().

Double_t TFracNum::dvalue

private

Definition at line 67 of file TFracNum.h.

Referenced by Dval(), and operator>().

Int_t TFracNum::maxPrimDen

private

Definition at line 49 of file TFracNum.h.

Referenced by DenomCommonDivisor(), operator*(), operator==(), PrintDifference(), and TFracNum().

Int_t TFracNum::maxPrimNom

private

Definition at line 46 of file TFracNum.h.

Referenced by operator*(), operator==(), PrintDifference(), and TFracNum().

Int_t* TFracNum::NOM

private

Definition at line 53 of file TFracNum.h.

Referenced by operator*(), operator==(), PrintDifference(), and TFracNum().

Int_t TFracNum::NOM_INT

private

Definition at line 65 of file TFracNum.h.

Referenced by GetNumerator(), and operator+().

Int_t TFracNum::sign_prefac

private

Definition at line 62 of file TFracNum.h.

Referenced by operator*(), operator+(), operator==(), PrintDifference(), and TFracNum().

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

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation