DifNumber Class Reference

#include <DifNumber.h>

List of all members.

Public Member Functions
	DifNumber ()
	DifNumber (double s, int npar=0)
	DifNumber (double s, const HepVector &d)
	DifNumber (double s, int i, double di, int npar)
	DifNumber (double s, int i, int npar)
	DifNumber (double s, const DifIndepPar *indeppar)
	DifNumber (double s, int i, const DifIndepPar *indepar)
	DifNumber (const DifNumber &s)
virtual	~DifNumber ()
void	setNumber (double i)
void	setNPar (int i)
void	setDerivatives (const HepVector &d)
void	setDerivative (int i, double value)
void	zeroDerivatives ()
void	setIndepPar (const DifIndepPar *par)
void	extendPar (int nnew)
double	number () const
double &	gimeNumber ()
HepVector	derivatives () const
double	derivative (int i) const
int	nMax ()
int	nPar () const
const DifIndepPar *	indepPar () const
double	error (const HepSymMatrix &e) const
double	error () const
void	tickle () const
void	print () const
DifNumber &	operator+= (const DifNumber &a)
DifNumber &	operator-= (const DifNumber &a)
DifNumber &	operator *= (const DifNumber &a)
DifNumber &	operator/= (const DifNumber &a)
DifNumber &	operator= (const DifNumber &a)
DifNumber	operator- () const
DifNumber &	operator+= (const double &a)
DifNumber &	operator-= (const double &a)
DifNumber &	operator *= (const double &a)
DifNumber &	operator/= (const double &a)
DifNumber &	operator= (const double &a)
DifNumber &	inverse ()
DifNumber &	flipsign ()
DifNumber &	absolute ()
void	cosAndSin (DifNumber &c, DifNumber &s) const
DifNumber &	squareRoot ()
DifNumber &	mod (double lo, double hi)
DifNumber &	arcTangent (const DifNumber &x)
DifNumber &	power (double p)
DifNumber &	power (const DifNumber &p)
double	sign () const
double	correlation (const DifNumber &b, const HepSymMatrix &e) const
double	correlation (const DifNumber &b) const
void	sumMatrix (HepMatrix &m) const
void	fetchNumber (double &n) const
void	fetchDerivatives (HepVector &v) const
Private Types
	_nmax = 100
enum	{ _nmax = 100 }
Private Member Functions
	DifNumber (double newval, const DifNumber &old, double factor=0.0)
DifNumber &	copyDerivs (const DifNumber &n)
DifNumber &	scaleDerivs (const DifNumber &n, double factor)
DifNumber &	copyDerivs (const HepVector &v)
DifNumber &	check (const DifNumber &a)
DifNumber &	setLike (const DifNumber &a)
Private Attributes
double	_number
int	_npar
const DifIndepPar *	_indepPar
double	_derivatives [_nmax]
Friends
DifNumber	operator+ (const DifNumber &a, const DifNumber &b)
DifNumber	operator- (const DifNumber &a, const DifNumber &b)
DifNumber	operator * (const DifNumber &a, const DifNumber &b)
DifNumber	operator/ (const DifNumber &a, const DifNumber &b)
DifNumber	operator+ (const DifNumber &a, const double &b)
DifNumber	operator- (const DifNumber &a, const double &b)
DifNumber	operator * (const DifNumber &a, const double &b)
DifNumber	operator/ (const DifNumber &a, const double &b)
DifNumber	operator+ (const double &a, const DifNumber &b)
DifNumber	operator- (const double &a, const DifNumber &b)
DifNumber	operator * (const double &a, const DifNumber &b)
DifNumber	operator/ (const double &a, const DifNumber &b)
bool	operator> (const DifNumber &a, const DifNumber &b)
bool	operator> (const DifNumber &a, const double &b)
bool	operator> (const double &a, const DifNumber &b)
bool	operator< (const DifNumber &a, const DifNumber &b)
bool	operator< (const DifNumber &a, const double &b)
bool	operator< (const double &a, const DifNumber &b)
bool	operator>= (const DifNumber &a, const DifNumber &b)
bool	operator>= (const DifNumber &a, const double &b)
bool	operator>= (const double &a, const DifNumber &b)
bool	operator<= (const DifNumber &a, const DifNumber &b)
bool	operator<= (const DifNumber &a, const double &b)
bool	operator<= (const double &a, const DifNumber &b)
bool	operator== (const DifNumber &a, const DifNumber &b)
bool	operator== (const DifNumber &a, const double &b)
bool	operator== (const double &a, const DifNumber &b)
bool	operator!= (const DifNumber &a, const DifNumber &b)
bool	operator!= (const DifNumber &a, const double &b)
bool	operator!= (const double &a, const DifNumber &b)
DifNumber	sin (const DifNumber &a)
DifNumber	cos (const DifNumber &a)
DifNumber	tan (const DifNumber &a)
DifNumber	sec (const DifNumber &a)
DifNumber	asin (const DifNumber &a)
DifNumber	acos (const DifNumber &a)
DifNumber	atan (const DifNumber &a)
DifNumber	atan2 (const DifNumber &y, const DifNumber &x)
DifNumber	atan2 (const DifNumber &y, const double &x)
DifNumber	atan2 (const double &y, const DifNumber &x)
DifNumber	exp (const DifNumber &a)
DifNumber	cosh (const DifNumber &a)
DifNumber	sinh (const DifNumber &a)
DifNumber	tanh (const DifNumber &a)
DifNumber	sqrt (const DifNumber &a)
DifNumber	log (const DifNumber &a)
DifNumber	fabs (const DifNumber &a)
DifNumber	pow (const DifNumber &a, const DifNumber &b)
DifNumber	pow (const DifNumber &a, int i)
DifNumber	pow (const DifNumber &a, float i)
DifNumber	pow (const DifNumber &a, double i)
double	correlation (const DifNumber &a, const DifNumber &b, const HepSymMatrix &e)
double	correlation (const DifNumber &a, const DifNumber &b)

---

Detailed Description

Definition at line 42 of file DifNumber.h.

---

Member Enumeration Documentation

anonymous enum [private]

Enumerator:

_nmax

Definition at line 45 of file DifNumber.h.

{_nmax=100};

---

Constructor & Destructor Documentation

DifNumber::DifNumber

(

)

[inline]

Referenced by operator-().

DifNumber::DifNumber	(	double	s,
		int	npar = 0
	)			[inline, explicit]

DifNumber::DifNumber	(	double	s,
		const HepVector &	d
	)			[inline]

DifNumber::DifNumber	(	double	s,
		int	i,
		double	di,
		int	npar
	)			[inline]

DifNumber::DifNumber	(	double	s,
		int	i,
		int	npar
	)			[inline]

DifNumber::DifNumber	(	double	s,
		const DifIndepPar *	indeppar
	)			[inline]

DifNumber::DifNumber	(	double	s,
		int	i,
		const DifIndepPar *	indepar
	)			[inline]

DifNumber::DifNumber	(	double	newval,
		const DifNumber &	old,
		double	factor = 0.0
	)			[inline, private]

DifNumber::DifNumber

(

const DifNumber &

s

)

[inline]

virtual DifNumber::~DifNumber

(

)

[inline, virtual]

Definition at line 75 of file DifNumber.h.

{}

---

Member Function Documentation

DifNumber& DifNumber::absolute

(

)

[inline]

Definition at line 122 of file DifNumber.h.

References _number, and flipsign().

Referenced by TrkMomCalculator::calcCurvAllCovsOLD(), TrkMomCalculator::calcCurvAllWeightsOLD(), TrkMomCalculator::calcCurvErrMom(), and TrkMomCalculator::calcCurvPosmomCov().

{ if (_number<0) flipsign(); return *this; }

DifNumber& DifNumber::arcTangent

(

const DifNumber &

x

)

[inline]

DifNumber& DifNumber::check

(

const DifNumber &

a

)

[inline, private]

DifNumber& DifNumber::copyDerivs

(

const HepVector &

v

)

[inline, private]

DifNumber& DifNumber::copyDerivs

(

const DifNumber &

n

)

[inline, private]

Referenced by setDerivatives().

double DifNumber::correlation

(

const DifNumber &

b

)

const

Definition at line 66 of file DifNumber.cxx.

References correlation(), and indepPar().

                                              {
  if(indepPar()==0) return 0.0;
  if(b.indepPar()!=indepPar()) return 0.0;
  return correlation(b,indepPar()->covariance());
}

double DifNumber::correlation	(	const DifNumber &	b,
		const HepSymMatrix &	e
	)			const

Definition at line 53 of file DifNumber.cxx.

References derivative(), error(), genRecEmupikp::i, ganga-rec::j, and nPar().

Referenced by correlation(), correlation(), and error().

                                                                     {
  assert(e.num_col()==nPar());
  assert(e.num_row()==b.nPar());
  double error = 0.;
  for(int i=1; i<=nPar(); i++) {
    for(int j=1; j<=b.nPar(); j++) {
      error+=derivative(i)*e(i,j)*b.derivative(j);
    }
  }
  return error;
}

void DifNumber::cosAndSin	(	DifNumber &	c,
		DifNumber &	s
	)			const [inline]

Referenced by TrkDifLineTraj::getDFInfo(), TrkCircleTraj::getDFInfo(), NeutTraj::getDFInfo(), HelixTraj::getDFInfo(), TrkCircleTraj::getDFInfo2(), and HelixTraj::getDFInfo2().

double DifNumber::derivative

(

int

i

)

const [inline]

Definition at line 90 of file DifNumber.h.

References _derivatives.

Referenced by correlation(), fetchDerivatives(), DifVector::jacobian(), DifFourVector::jacobian(), and print().

{return _derivatives[i-1];}

HepVector DifNumber::derivatives

(

)

const

Definition at line 46 of file DifNumber.cxx.

References fetchDerivatives(), nPar(), and subSeperate::temp.

Referenced by TrkDifPoca::derivs(), and TrkRep::positionErr().

                                     {
    HepVector temp(nPar());
    fetchDerivatives(temp);
    return temp;
}

double DifNumber::error

(

)

const

Definition at line 36 of file DifNumber.cxx.

References indepPar().

Referenced by correlation().

                            {
  if(indepPar()==0) {return 0.0;}
  return error(indepPar()->covariance());
}

double DifNumber::error

(

const HepSymMatrix &

e

)

const

Definition at line 32 of file DifNumber.cxx.

References correlation(), and sqrt.

                                                  {
  return sqrt(correlation(*this,e));
}

void DifNumber::extendPar

(

int

nnew

)

[inline]

void DifNumber::fetchDerivatives

(

HepVector &

v

)

const

Definition at line 41 of file DifNumber.cxx.

References derivative(), genRecEmupikp::i, nPar(), and v.

Referenced by derivatives(), and TrkDifPoca::fetchDerivs().

                                                  {
  assert(v.num_row()==nPar());
  for(int i=1; i<=nPar(); i++) {v(i)=derivative(i);}
}

void DifNumber::fetchNumber

(

double &

n

)

const [inline]

Definition at line 138 of file DifNumber.h.

References number().

{n=number();}

DifNumber& DifNumber::flipsign

(

)

[inline]

Referenced by absolute(), and TrkDifPoca::calcDist().

double& DifNumber::gimeNumber

(

)

[inline]

Definition at line 88 of file DifNumber.h.

References _number.

{return _number;}

const DifIndepPar* DifNumber::indepPar

(

)

const [inline]

Definition at line 93 of file DifNumber.h.

References _indepPar.

Referenced by TrkMomCalculator::calcCurvAllCovsOLD(), TrkMomCalculator::calcCurvAllWeightsOLD(), TrkMomCalculator::calcCurvErrMom(), TrkMomCalculator::calcCurvPosmomCov(), TrkMomCalculator::calcNeutAllCovs(), TrkMomCalculator::calcNeutAllWeights(), TrkMomCalculator::calcNeutErrMom(), TrkMomCalculator::calcNeutPosmomCov(), correlation(), correlation(), TrkRep::directionErr(), TrkCompTrk::directionErr(), error(), TrkRep::positionErr(), and TrkCompTrk::positionErr().

{return _indepPar;}

DifNumber& DifNumber::inverse

(

)

[inline]

DifNumber& DifNumber::mod	(	double	lo,
		double	hi
	)			[inline]

Referenced by TrkCircleTraj::getDFInfo(), HelixTraj::getDFInfo(), TrkCircleTraj::getDFInfo2(), and HelixTraj::getDFInfo2().

int DifNumber::nMax

(

)

[inline]

Definition at line 91 of file DifNumber.h.

References _nmax.

{return _nmax;}

int DifNumber::nPar

(

)

const [inline]

Definition at line 92 of file DifNumber.h.

References _npar.

Referenced by correlation(), derivatives(), fetchDerivatives(), DifVector::jacobian(), DifFourVector::jacobian(), DifArray::jacobian(), print(), and zeroDerivatives().

{return _npar;}

double DifNumber::number

(

void

)

const [inline]

Definition at line 87 of file DifNumber.h.

References _number.

Referenced by TrkMomCalculator::calcCurvAllWeightsOLD(), TrkMomCalculator::calcCurvErrMom(), TrkDifPoca::calcDist(), TrkMomCalculator::calcNeutAllCovs(), TrkMomCalculator::calcNeutAllWeights(), TrkMomCalculator::calcNeutErrMom(), TrkRep::directionErr(), TrkCompTrk::directionErr(), TrkDifPoca::doca(), fetchNumber(), TrkRep::positionErr(), TrkCompTrk::positionErr(), print(), and solveQuad().

{return _number;}

DifNumber& DifNumber::operator *=

(

const double &

a

)

[inline]

DifNumber& DifNumber::operator *=

(

const DifNumber &

a

)

[inline]

DifNumber& DifNumber::operator+=

(

const double &

a

)

[inline]

DifNumber& DifNumber::operator+=

(

const DifNumber &

a

)

[inline]

DifNumber DifNumber::operator-

(

)

const [inline]

Definition at line 109 of file DifNumber.h.

References DifNumber().

  { return DifNumber(*this).flipsign(); } // unary minus

DifNumber& DifNumber::operator-=

(

const double &

a

)

[inline]

DifNumber& DifNumber::operator-=

(

const DifNumber &

a

)

[inline]

DifNumber& DifNumber::operator/=

(

const double &

a

)

[inline]

DifNumber& DifNumber::operator/=

(

const DifNumber &

a

)

[inline]

DifNumber& DifNumber::operator=

(

const double &

a

)

[inline]

DifNumber& DifNumber::operator=

(

const DifNumber &

a

)

[inline]

DifNumber& DifNumber::power

(

const DifNumber &

p

)

[inline]

DifNumber& DifNumber::power

(

double

p

)

[inline]

void DifNumber::print

(

)

const

Definition at line 81 of file DifNumber.cxx.

References derivative(), genRecEmupikp::i, nPar(), and number().

                                         {
  cout << "number:" << number() << endl;
  cout << "npar:" << nPar() << endl;
  for(int i=1; i<=nPar(); i++) {
    cout << "derivative(" << i << "):" << derivative(i) << endl;
  }
}

DifNumber& DifNumber::scaleDerivs	(	const DifNumber &	n,
		double	factor
	)			[inline, private]

void DifNumber::setDerivative	(	int	i,
		double	value
	)			[inline]

Definition at line 81 of file DifNumber.h.

References _derivatives.

Referenced by zeroDerivatives().

{ _derivatives[i-1]=value;}

void DifNumber::setDerivatives

(

const HepVector &

d

)

[inline]

Definition at line 80 of file DifNumber.h.

References copyDerivs().

{ copyDerivs(d); }

void DifNumber::setIndepPar

(

const DifIndepPar *

par

)

[inline]

Definition at line 83 of file DifNumber.h.

References _indepPar.

Referenced by TrkDifLineTraj::getDFInfo(), TrkCircleTraj::getDFInfo(), NeutTraj::getDFInfo(), HelixTraj::getDFInfo(), TrkCircleTraj::getDFInfo2(), and HelixTraj::getDFInfo2().

{ _indepPar=par;}

DifNumber& DifNumber::setLike

(

const DifNumber &

a

)

[inline, private]

void DifNumber::setNPar

(

int

i

)

[inline]

Definition at line 79 of file DifNumber.h.

References _npar.

Referenced by DifArray::copy(), and DifArray::zero().

{ _npar=i;}

void DifNumber::setNumber

(

double

i

)

[inline]

Definition at line 78 of file DifNumber.h.

References _number.

{ _number=i;}

double DifNumber::sign

(

)

const [inline]

Definition at line 130 of file DifNumber.h.

References _number.

{ return _number>=0 ? 1 : -1; }

DifNumber& DifNumber::squareRoot

(

)

[inline]

void DifNumber::sumMatrix

(

HepMatrix &

m

)

const

void DifNumber::tickle

(

)

const [inline]

Definition at line 96 of file DifNumber.h.

{return;} // tickle a number

void DifNumber::zeroDerivatives

(

)

[inline]

Definition at line 82 of file DifNumber.h.

References nPar(), and setDerivative().

{ for(int i=1; i<=nPar(); i++) setDerivative(i,0.0); }

---

Friends And Related Function Documentation

DifNumber acos

(

const DifNumber &

a

)

[friend]

DifNumber asin

(

const DifNumber &

a

)

[friend]

DifNumber atan

(

const DifNumber &

a

)

[friend]

DifNumber atan2	(	const double &	y,
		const DifNumber &	x
	)			[friend]

Definition at line 197 of file DifNumber.h.

{ return DifNumber(y).arcTangent(x); }

DifNumber atan2	(	const DifNumber &	y,
		const double &	x
	)			[friend]

Definition at line 196 of file DifNumber.h.

{ return DifNumber(y).arcTangent(DifNumber(x)); }

DifNumber atan2	(	const DifNumber &	y,
		const DifNumber &	x
	)			[friend]

Definition at line 195 of file DifNumber.h.

{ return DifNumber(y).arcTangent(x); }

double correlation	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 72 of file DifNumber.cxx.

{ 
  return (a.indepPar()==0||b.indepPar()==0||a.indepPar()!=b.indepPar())?0:a.correlation(b,a.indepPar()->covariance()); 
}

double correlation	(	const DifNumber &	a,
		const DifNumber &	b,
		const HepSymMatrix &	e
	)			[friend]

Definition at line 78 of file DifNumber.cxx.

{ return a.correlation(b,e); }

DifNumber cos

(

const DifNumber &

a

)

[friend]

Definition at line 185 of file DifNumber.h.

  { return DifNumber(cos(a.number()),a,-sin(a.number())); }

DifNumber cosh

(

const DifNumber &

a

)

[friend]

Definition at line 201 of file DifNumber.h.

  { return 0.5*(DifNumber(exp(a))+=exp(-a)); }

DifNumber exp

(

const DifNumber &

a

)

[friend]

Definition at line 199 of file DifNumber.h.

  { double e=exp(a.number()); return DifNumber(e,a,e); }

DifNumber fabs

(

const DifNumber &

a

)

[friend]

Definition at line 213 of file DifNumber.h.

  { return DifNumber(fabs(a.number()),a,a.sign()); }

DifNumber log

(

const DifNumber &

a

)

[friend]

Definition at line 211 of file DifNumber.h.

  { return DifNumber(log(a.number()),a,1.0/a.number()); }

DifNumber operator *	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 154 of file DifNumber.h.

{ return DifNumber(a)*=b; }

DifNumber operator *	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 149 of file DifNumber.h.

{ return DifNumber(a)*=b; }

DifNumber operator *	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 144 of file DifNumber.h.

{ return DifNumber(a)*=b; }

bool operator!=	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 181 of file DifNumber.h.

{ return true; }

bool operator!=	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 180 of file DifNumber.h.

{ return true; }

bool operator!=	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 179 of file DifNumber.h.

{ return !(a==b); }

DifNumber operator+	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 152 of file DifNumber.h.

{ return DifNumber(a)+=b; }

DifNumber operator+	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 147 of file DifNumber.h.

{ return DifNumber(a)+=b; }

DifNumber operator+	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 142 of file DifNumber.h.

{ return DifNumber(a)+=b; }

DifNumber operator-	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 153 of file DifNumber.h.

{ return DifNumber(a)-=b; }

DifNumber operator-	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 148 of file DifNumber.h.

{ return DifNumber(a)-=b; }

DifNumber operator-	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 143 of file DifNumber.h.

{ return DifNumber(a)-=b; }

DifNumber operator/	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 155 of file DifNumber.h.

{ return DifNumber(a)/=b; }

DifNumber operator/	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 150 of file DifNumber.h.

{ return DifNumber(a)/=b; }

DifNumber operator/	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 145 of file DifNumber.h.

{ return DifNumber(a)/=b; }

bool operator<	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 164 of file DifNumber.h.

{ return b>a; }

bool operator<	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 163 of file DifNumber.h.

{ return b>a; }

bool operator<	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 162 of file DifNumber.h.

{ return b>a; }

bool operator<=	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 173 of file DifNumber.h.

{ return b>=a; }

bool operator<=	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 172 of file DifNumber.h.

{ return b>=a; }

bool operator<=	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 171 of file DifNumber.h.

{ return b>=a; }

bool operator==	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 177 of file DifNumber.h.

{return false;}

bool operator==	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 176 of file DifNumber.h.

{return false;}

bool operator==	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

bool operator>	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 160 of file DifNumber.h.

{ return a>b.number(); }

bool operator>	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 159 of file DifNumber.h.

{ return a.number()>b; }

bool operator>	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 158 of file DifNumber.h.

{ return a.number()>b.number(); }

bool operator>=	(	const double &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 169 of file DifNumber.h.

{ return a>=b.number(); }

bool operator>=	(	const DifNumber &	a,
		const double &	b
	)			[friend]

Definition at line 168 of file DifNumber.h.

{ return a.number()>=b; }

bool operator>=	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 167 of file DifNumber.h.

{ return a.number()>=b.number(); }

DifNumber pow	(	const DifNumber &	a,
		double	i
	)			[friend]

Definition at line 218 of file DifNumber.h.

                                                                          {
                          return i==0?DifNumber(1.0,a,0.0)
                                   :DifNumber(pow(a.number(),i),a,i*pow(a.number(),i-1)); }

DifNumber pow	(	const DifNumber &	a,
		float	i
	)			[friend]

Definition at line 217 of file DifNumber.h.

{ return pow(a,(double)i);}

DifNumber pow	(	const DifNumber &	a,
		int	i
	)			[friend]

Definition at line 216 of file DifNumber.h.

{ return pow(a,(double)i);}

DifNumber pow	(	const DifNumber &	a,
		const DifNumber &	b
	)			[friend]

Definition at line 215 of file DifNumber.h.

{ return DifNumber(a).power(b); }

DifNumber sec

(

const DifNumber &

a

)

[friend]

Definition at line 189 of file DifNumber.h.

  { return DifNumber(cos(a)).inverse(); }

DifNumber sin

(

const DifNumber &

a

)

[friend]

Definition at line 183 of file DifNumber.h.

  { return DifNumber(sin(a.number()),a,cos(a.number())); }

DifNumber sinh

(

const DifNumber &

a

)

[friend]

Definition at line 203 of file DifNumber.h.

  { return 0.5*(DifNumber(exp(a))-=exp(-a)); } 

DifNumber sqrt

(

const DifNumber &

a

)

[friend]

Definition at line 209 of file DifNumber.h.

Referenced by error().

  { return DifNumber(a).squareRoot(); }

DifNumber tan

(

const DifNumber &

a

)

[friend]

Definition at line 187 of file DifNumber.h.

  { double t=tan(a.number()); return DifNumber(t,a,1.0+t*t); }

DifNumber tanh

(

const DifNumber &

a

)

[friend]

Definition at line 205 of file DifNumber.h.

  { double t=tanh(a.number()); return DifNumber(t,a,1.0-t*t); }

---

Member Data Documentation

double DifNumber::_derivatives[_nmax] [private]

Definition at line 235 of file DifNumber.h.

Referenced by derivative(), and setDerivative().

const DifIndepPar* DifNumber::_indepPar [private]

Definition at line 234 of file DifNumber.h.

Referenced by indepPar(), and setIndepPar().

int DifNumber::_npar [private]

Definition at line 233 of file DifNumber.h.

Referenced by nPar(), and setNPar().

double DifNumber::_number [private]

Definition at line 232 of file DifNumber.h.

Referenced by absolute(), gimeNumber(), number(), setNumber(), and sign().

---