DifNumber Class Reference

#include <DifNumber.h>

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

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.

Constructor & Destructor Documentation

DifNumber() [1/8]

DifNumber::DifNumber ( )

inline

Referenced by absolute(), acos, arcTangent(), asin, atan, atan2, atan2, atan2, correlation, correlation, correlation(), correlation(), cos, cosAndSin(), cosh, DifNumber(), DifNumber(), DifNumber(), DifNumber(), exp, fabs, flipsign(), inverse(), log, mod(), operator!=, operator!=, operator!=, operator*, operator*, operator*, operator*=(), operator*=(), operator+, operator+, operator+, operator+=(), operator+=(), operator-(), operator-, operator-, operator-, operator-=(), operator-=(), operator/, operator/, operator/, operator/=(), operator/=(), operator<, operator<, operator<, operator<=, operator<=, operator<=, operator=(), operator=(), operator==, operator==, operator==, operator>, operator>, operator>, operator>=, operator>=, operator>=, pow, pow, pow, pow, power(), power(), sec, sin, sinh, sqrt, squareRoot(), tan, and tanh.

DifNumber() [2/8]

DifNumber::DifNumber ( double s, int npar = 0 )

inlineexplicit

DifNumber() [3/8]

DifNumber::DifNumber ( double s, const HepVector & d )

inline

DifNumber() [4/8]

DifNumber::DifNumber ( double s, int i, double di, int npar )

inline

DifNumber() [5/8]

DifNumber::DifNumber ( double s, int i, int npar )

inline

DifNumber() [6/8]

DifNumber::DifNumber ( double s, const DifIndepPar * indeppar )

inline

DifNumber() [7/8]

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

inline

DifNumber() [8/8]

DifNumber::DifNumber ( const DifNumber & s )

inline

~DifNumber()

virtual DifNumber::~DifNumber ( )

inlinevirtual

Definition at line 75 of file DifNumber.h.

{}

Member Function Documentation

absolute()

DifNumber & DifNumber::absolute ( )

inline

Definition at line 122 of file DifNumber.h.

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

arcTangent()

DifNumber & DifNumber::arcTangent ( const DifNumber & x )

inline

Referenced by atan2, atan2, and atan2.

correlation() [1/2]

double DifNumber::correlation

(

const DifNumber &

b

)

const

Definition at line 66 of file DifNumber.cxx.

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

correlation() [2/2]

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

Definition at line 53 of file DifNumber.cxx.

                                                                     {
  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;
}

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

cosAndSin()

void DifNumber::cosAndSin ( DifNumber & c, DifNumber & s ) const

inline

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

derivative()

double DifNumber::derivative ( int i ) const

inline

Definition at line 90 of file DifNumber.h.

{return _derivatives[i-1];}

Referenced by correlation(), fetchDerivatives(), and print().

derivatives()

HepVector DifNumber::derivatives

(

)

const

Definition at line 46 of file DifNumber.cxx.

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

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

error() [1/2]

double DifNumber::error

(

)

const

Definition at line 36 of file DifNumber.cxx.

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

Referenced by error().

error() [2/2]

double DifNumber::error

(

const HepSymMatrix &

e

)

const

Definition at line 32 of file DifNumber.cxx.

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

Referenced by correlation().

extendPar()

void DifNumber::extendPar ( int nnew )

inline

fetchDerivatives()

void DifNumber::fetchDerivatives

(

HepVector &

v

)

const

Definition at line 41 of file DifNumber.cxx.

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

Referenced by derivatives().

fetchNumber()

void DifNumber::fetchNumber ( double & n ) const

inline

Definition at line 138 of file DifNumber.h.

{n=number();}

flipsign()

DifNumber & DifNumber::flipsign ( )

inline

Referenced by absolute(), and operator-().

gimeNumber()

double & DifNumber::gimeNumber ( )

inline

Definition at line 88 of file DifNumber.h.

{return _number;}

indepPar()

const DifIndepPar * DifNumber::indepPar ( ) const

inline

Definition at line 93 of file DifNumber.h.

{return _indepPar;}

Referenced by correlation, correlation(), TrkCompTrk::directionErr(), TrkRep::directionErr(), error(), TrkCompTrk::positionErr(), and TrkRep::positionErr().

inverse()

DifNumber & DifNumber::inverse ( )

inline

Referenced by sec.

mod()

DifNumber & DifNumber::mod ( double lo, double hi )

inline

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

nMax()

int DifNumber::nMax ( )

inline

Definition at line 91 of file DifNumber.h.

{return _nmax;}

nPar()

int DifNumber::nPar ( ) const

inline

Definition at line 92 of file DifNumber.h.

{return _npar;}

Referenced by correlation(), derivatives(), fetchDerivatives(), print(), and zeroDerivatives().

number()

double DifNumber::number ( ) const

inline

Definition at line 87 of file DifNumber.h.

{return _number;}

Referenced by cos, TrkCompTrk::directionErr(), TrkRep::directionErr(), exp, fabs, fetchNumber(), log, operator>, operator>, operator>=, operator>=, TrkCompTrk::positionErr(), TrkRep::positionErr(), pow, print(), sin, solveQuad(), tan, and tanh.

operator*=() [1/2]

DifNumber & DifNumber::operator*= ( const DifNumber & a )

inline

operator*=() [2/2]

DifNumber & DifNumber::operator*= ( const double & a )

inline

operator+=() [1/2]

DifNumber & DifNumber::operator+= ( const DifNumber & a )

inline

operator+=() [2/2]

DifNumber & DifNumber::operator+= ( const double & a )

inline

operator-()

DifNumber DifNumber::operator- ( ) const

inline

Definition at line 109 of file DifNumber.h.

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

operator-=() [1/2]

DifNumber & DifNumber::operator-= ( const DifNumber & a )

inline

operator-=() [2/2]

DifNumber & DifNumber::operator-= ( const double & a )

inline

operator/=() [1/2]

DifNumber & DifNumber::operator/= ( const DifNumber & a )

inline

operator/=() [2/2]

DifNumber & DifNumber::operator/= ( const double & a )

inline

operator=() [1/2]

DifNumber & DifNumber::operator= ( const DifNumber & a )

inline

operator=() [2/2]

DifNumber & DifNumber::operator= ( const double & a )

inline

power() [1/2]

DifNumber & DifNumber::power ( const DifNumber & p )

inline

power() [2/2]

DifNumber & DifNumber::power ( double p )

inline

Referenced by pow.

print()

void DifNumber::print

(

)

const

Definition at line 81 of file DifNumber.cxx.

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

setDerivative()

void DifNumber::setDerivative ( int i, double value )

inline

Definition at line 81 of file DifNumber.h.

{ _derivatives[i-1]=value;}

Referenced by zeroDerivatives().

setDerivatives()

void DifNumber::setDerivatives ( const HepVector & d )

inline

Definition at line 80 of file DifNumber.h.

{ copyDerivs(d); }

setIndepPar()

void DifNumber::setIndepPar ( const DifIndepPar * par )

inline

Definition at line 83 of file DifNumber.h.

{ _indepPar=par;}

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

setNPar()

void DifNumber::setNPar ( int i )

inline

Definition at line 79 of file DifNumber.h.

{ _npar=i;}

setNumber()

void DifNumber::setNumber ( double i )

inline

Definition at line 78 of file DifNumber.h.

{ _number=i;}

sign()

double DifNumber::sign ( ) const

inline

Definition at line 130 of file DifNumber.h.

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

Referenced by fabs.

squareRoot()

DifNumber & DifNumber::squareRoot ( )

inline

Referenced by sqrt.

sumMatrix()

void DifNumber::sumMatrix

(

HepMatrix &

m

)

const

tickle()

void DifNumber::tickle ( ) const

inline

Definition at line 96 of file DifNumber.h.

{return;} // tickle a number

zeroDerivatives()

void DifNumber::zeroDerivatives ( )

inline

Definition at line 82 of file DifNumber.h.

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

Friends And Related Symbol Documentation

acos

DifNumber acos ( const DifNumber & a )

friend

asin

DifNumber asin ( const DifNumber & a )

friend

atan

DifNumber atan ( const DifNumber & a )

friend

atan2 [1/3]

DifNumber atan2 ( const DifNumber & y, const DifNumber & x )

friend

Definition at line 195 of file DifNumber.h.

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

atan2 [2/3]

DifNumber atan2 ( const DifNumber & y, const double & x )

friend

Definition at line 196 of file DifNumber.h.

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

atan2 [3/3]

DifNumber atan2 ( const double & y, const DifNumber & x )

friend

Definition at line 197 of file DifNumber.h.

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

correlation [1/2]

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()); 
}

correlation [2/2]

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); }

cos

DifNumber cos ( const DifNumber & a )

friend

Definition at line 185 of file DifNumber.h.

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

Referenced by cos, sec, and sin.

cosh

DifNumber cosh ( const DifNumber & a )

friend

Definition at line 201 of file DifNumber.h.

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

exp

DifNumber exp ( const DifNumber & a )

friend

Definition at line 199 of file DifNumber.h.

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

Referenced by cosh, exp, and sinh.

fabs

DifNumber fabs ( const DifNumber & a )

friend

Definition at line 213 of file DifNumber.h.

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

Referenced by fabs.

log

DifNumber log ( const DifNumber & a )

friend

Definition at line 211 of file DifNumber.h.

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

Referenced by log.

operator!= [1/3]

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

friend

Definition at line 179 of file DifNumber.h.

{ return !(a==b); }

operator!= [2/3]

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

friend

Definition at line 180 of file DifNumber.h.

{ return true; }

operator!= [3/3]

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

friend

Definition at line 181 of file DifNumber.h.

{ return true; }

operator* [1/3]

DifNumber operator* ( const DifNumber & a, const DifNumber & b )

friend

Definition at line 144 of file DifNumber.h.

{ return DifNumber(a)*=b; }

operator* [2/3]

DifNumber operator* ( const DifNumber & a, const double & b )

friend

Definition at line 149 of file DifNumber.h.

{ return DifNumber(a)*=b; }

operator* [3/3]

DifNumber operator* ( const double & a, const DifNumber & b )

friend

Definition at line 154 of file DifNumber.h.

{ return DifNumber(a)*=b; }

operator+ [1/3]

DifNumber operator+ ( const DifNumber & a, const DifNumber & b )

friend

Definition at line 142 of file DifNumber.h.

{ return DifNumber(a)+=b; }

operator+ [2/3]

DifNumber operator+ ( const DifNumber & a, const double & b )

friend

Definition at line 147 of file DifNumber.h.

{ return DifNumber(a)+=b; }

operator+ [3/3]

DifNumber operator+ ( const double & a, const DifNumber & b )

friend

Definition at line 152 of file DifNumber.h.

{ return DifNumber(a)+=b; }

operator- [1/3]

DifNumber operator- ( const DifNumber & a, const DifNumber & b )

friend

Definition at line 143 of file DifNumber.h.

{ return DifNumber(a)-=b; }

operator- [2/3]

DifNumber operator- ( const DifNumber & a, const double & b )

friend

Definition at line 148 of file DifNumber.h.

{ return DifNumber(a)-=b; }

operator- [3/3]

DifNumber operator- ( const double & a, const DifNumber & b )

friend

Definition at line 153 of file DifNumber.h.

{ return DifNumber(a)-=b; }

operator/ [1/3]

DifNumber operator/ ( const DifNumber & a, const DifNumber & b )

friend

Definition at line 145 of file DifNumber.h.

{ return DifNumber(a)/=b; }

operator/ [2/3]

DifNumber operator/ ( const DifNumber & a, const double & b )

friend

Definition at line 150 of file DifNumber.h.

{ return DifNumber(a)/=b; }

operator/ [3/3]

DifNumber operator/ ( const double & a, const DifNumber & b )

friend

Definition at line 155 of file DifNumber.h.

{ return DifNumber(a)/=b; }

operator< [1/3]

bool operator< ( const DifNumber & a, const DifNumber & b )

friend

Definition at line 162 of file DifNumber.h.

{ return b>a; }

operator< [2/3]

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

friend

Definition at line 163 of file DifNumber.h.

{ return b>a; }

operator< [3/3]

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

friend

Definition at line 164 of file DifNumber.h.

{ return b>a; }

operator<= [1/3]

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

friend

Definition at line 171 of file DifNumber.h.

{ return b>=a; }

operator<= [2/3]

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

friend

Definition at line 172 of file DifNumber.h.

{ return b>=a; }

operator<= [3/3]

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

friend

Definition at line 173 of file DifNumber.h.

{ return b>=a; }

operator== [1/3]

bool operator== ( const DifNumber & a, const DifNumber & b )

friend

operator== [2/3]

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

friend

Definition at line 176 of file DifNumber.h.

{return false;}

operator== [3/3]

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

friend

Definition at line 177 of file DifNumber.h.

{return false;}

operator> [1/3]

bool operator> ( const DifNumber & a, const DifNumber & b )

friend

Definition at line 158 of file DifNumber.h.

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

operator> [2/3]

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

friend

Definition at line 159 of file DifNumber.h.

{ return a.number()>b; }

operator> [3/3]

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

friend

Definition at line 160 of file DifNumber.h.

{ return a>b.number(); }

operator>= [1/3]

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

friend

Definition at line 167 of file DifNumber.h.

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

operator>= [2/3]

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

friend

Definition at line 168 of file DifNumber.h.

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

operator>= [3/3]

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

friend

Definition at line 169 of file DifNumber.h.

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

pow [1/4]

DifNumber pow ( const DifNumber & a, const DifNumber & b )

friend

Definition at line 215 of file DifNumber.h.

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

Referenced by pow.

pow [2/4]

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)); }

pow [3/4]

DifNumber pow ( const DifNumber & a, float i )

friend

Definition at line 217 of file DifNumber.h.

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

Referenced by pow.

pow [4/4]

DifNumber pow ( const DifNumber & a, int i )

friend

Definition at line 216 of file DifNumber.h.

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

Referenced by pow.

sec

DifNumber sec ( const DifNumber & a )

friend

Definition at line 189 of file DifNumber.h.

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

sin

DifNumber sin ( const DifNumber & a )

friend

Definition at line 183 of file DifNumber.h.

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

Referenced by cos, and sin.

sinh

DifNumber sinh ( const DifNumber & a )

friend

Definition at line 203 of file DifNumber.h.

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

sqrt

DifNumber sqrt ( const DifNumber & a )

friend

Definition at line 209 of file DifNumber.h.

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

Referenced by error().

tan

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); }

Referenced by tan.

tanh

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); }

Referenced by tanh.

---

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

• DifNumber.h
• DifNumber.cxx