/usr/include/root/Math/GenVector/Polar3D.h is in libroot-math-genvector-dev 5.34.30-0ubuntu8.
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// Authors: W. Brown, M. Fischler, L. Moneta 2005
/**********************************************************************
* *
* Copyright (c) 2005 , LCG ROOT MathLib Team and *
* FNAL LCG ROOT MathLib Team *
* *
* *
**********************************************************************/
// Header file for class Polar3D
//
// Created by: Lorenzo Moneta at Mon May 30 11:40:03 2005
// Major revamp: M. Fischler at Wed Jun 8 2005
//
// Last update: $Id$
//
#ifndef ROOT_Math_GenVector_Polar3D
#define ROOT_Math_GenVector_Polar3D 1
#ifndef ROOT_Math_Math
#include "Math/Math.h"
#endif
#ifndef ROOT_Math_GenVector_eta
#include "Math/GenVector/eta.h"
#endif
namespace ROOT {
namespace Math {
//__________________________________________________________________________________________
/**
Class describing a polar coordinate system based on r, theta and phi
Phi is restricted to be in the range [-PI,PI)
@ingroup GenVector
*/
template <class T>
class Polar3D {
public :
typedef T Scalar;
/**
Default constructor with r=theta=phi=0
*/
Polar3D() : fR(0), fTheta(0), fPhi(0) { }
/**
Construct from the polar coordinates: r, theta and phi
*/
Polar3D(T r,T theta,T phi) : fR(r), fTheta(theta), fPhi(phi) { Restrict(); }
/**
Construct from any Vector or coordinate system implementing
R(), Theta() and Phi()
*/
template <class CoordSystem >
explicit Polar3D( const CoordSystem & v ) :
fR(v.R() ), fTheta(v.Theta() ), fPhi(v.Phi() ) { Restrict(); }
// for g++ 3.2 and 3.4 on 32 bits found that the compiler generated copy ctor and assignment are much slower
// re-implement them ( there is no no need to have them with g++4)
/**
copy constructor
*/
Polar3D(const Polar3D & v) :
fR(v.R() ), fTheta(v.Theta() ), fPhi(v.Phi() ) { }
/**
assignment operator
*/
Polar3D & operator= (const Polar3D & v) {
fR = v.R();
fTheta = v.Theta();
fPhi = v.Phi();
return *this;
}
/**
Set internal data based on an array of 3 Scalar numbers
*/
void SetCoordinates( const Scalar src[] )
{ fR=src[0]; fTheta=src[1]; fPhi=src[2]; Restrict(); }
/**
get internal data into an array of 3 Scalar numbers
*/
void GetCoordinates( Scalar dest[] ) const
{ dest[0] = fR; dest[1] = fTheta; dest[2] = fPhi; }
/**
Set internal data based on 3 Scalar numbers
*/
void SetCoordinates(Scalar r, Scalar theta, Scalar phi)
{ fR=r; fTheta=theta; fPhi=phi; Restrict(); }
/**
get internal data into 3 Scalar numbers
*/
void GetCoordinates(Scalar& r, Scalar& theta, Scalar& phi) const {r=fR; theta=fTheta; phi=fPhi;}
Scalar R() const { return fR;}
Scalar Phi() const { return fPhi; }
Scalar Theta() const { return fTheta; }
Scalar Rho() const { return fR*std::sin(fTheta); }
Scalar X() const { return Rho()*std::cos(fPhi);}
Scalar Y() const { return Rho()*std::sin(fPhi);}
Scalar Z() const { return fR*std::cos(fTheta); }
Scalar Mag2() const { return fR*fR;}
Scalar Perp2() const { return Rho()*Rho(); }
// pseudorapidity
Scalar Eta() const
{
return Impl::Eta_FromTheta(fTheta, fR);
}
// setters (only for data members)
/**
set the r coordinate value keeping theta and phi constant
*/
void SetR(const T & r) {
fR = r;
}
/**
set the theta coordinate value keeping r and phi constant
*/
void SetTheta(const T & theta) {
fTheta = theta;
}
/**
set the phi coordinate value keeping r and theta constant
*/
void SetPhi(const T & phi) {
fPhi = phi;
Restrict();
}
/**
set all values using cartesian coordinates
*/
void SetXYZ(Scalar x, Scalar y, Scalar z);
private:
inline static Scalar pi() { return M_PI; }
inline void Restrict() {
if ( fPhi <= -pi() || fPhi > pi() )
fPhi = fPhi - std::floor( fPhi/(2*pi()) +.5 ) * 2*pi();
return;
}
public:
/**
scale by a scalar quantity - for polar coordinates r changes
*/
void Scale (T a) {
if (a < 0) {
Negate();
a = -a;
}
// angles do not change when scaling by a positive quantity
fR *= a;
}
/**
negate the vector
*/
void Negate ( ) {
fPhi = ( fPhi > 0 ? fPhi - pi() : fPhi + pi() );
fTheta = pi() - fTheta;
}
// assignment operators
/**
generic assignment operator from any coordinate system
*/
template <class CoordSystem >
Polar3D & operator= ( const CoordSystem & c ) {
fR = c.R();
fTheta = c.Theta();
fPhi = c.Phi();
return *this;
}
/**
Exact equality
*/
bool operator==(const Polar3D & rhs) const {
return fR == rhs.fR && fTheta == rhs.fTheta && fPhi == rhs.fPhi;
}
bool operator!= (const Polar3D & rhs) const {return !(operator==(rhs));}
// ============= Compatibility section ==================
// The following make this coordinate system look enough like a CLHEP
// vector that an assignment member template can work with either
T x() const { return X();}
T y() const { return Y();}
T z() const { return Z(); }
// ============= Specializations for improved speed ==================
// (none)
#if defined(__MAKECINT__) || defined(G__DICTIONARY)
// ====== Set member functions for coordinates in other systems =======
void SetX(Scalar x);
void SetY(Scalar y);
void SetZ(Scalar z);
void SetRho(Scalar rho);
void SetEta(Scalar eta);
#endif
private:
T fR;
T fTheta;
T fPhi;
};
} // end namespace Math
} // end namespace ROOT
// move implementations here to avoid circle dependencies
#ifndef ROOT_Math_GenVector_Cartesian3D
#include "Math/GenVector/Cartesian3D.h"
#endif
#if defined(__MAKECINT__) || defined(G__DICTIONARY)
#ifndef ROOT_Math_GenVector_GenVector_exception
#include "Math/GenVector/GenVector_exception.h"
#endif
#ifndef ROOT_Math_GenVector_CylindricalEta3D
#include "Math/GenVector/CylindricalEta3D.h"
#endif
#endif
namespace ROOT {
namespace Math {
template <class T>
void Polar3D<T>::SetXYZ(Scalar xx, Scalar yy, Scalar zz) {
*this = Cartesian3D<Scalar>(xx, yy, zz);
}
#if defined(__MAKECINT__) || defined(G__DICTIONARY)
// ====== Set member functions for coordinates in other systems =======
template <class T>
void Polar3D<T>::SetX(Scalar xx) {
GenVector_exception e("Polar3D::SetX() is not supposed to be called");
throw e;
Cartesian3D<Scalar> v(*this); v.SetX(xx); *this = Polar3D<Scalar>(v);
}
template <class T>
void Polar3D<T>::SetY(Scalar yy) {
GenVector_exception e("Polar3D::SetY() is not supposed to be called");
throw e;
Cartesian3D<Scalar> v(*this); v.SetY(yy); *this = Polar3D<Scalar>(v);
}
template <class T>
void Polar3D<T>::SetZ(Scalar zz) {
GenVector_exception e("Polar3D::SetZ() is not supposed to be called");
throw e;
Cartesian3D<Scalar> v(*this); v.SetZ(zz); *this = Polar3D<Scalar>(v);
}
template <class T>
void Polar3D<T>::SetRho(Scalar rho) {
GenVector_exception e("Polar3D::SetRho() is not supposed to be called");
throw e;
CylindricalEta3D<Scalar> v(*this); v.SetRho(rho);
*this = Polar3D<Scalar>(v);
}
template <class T>
void Polar3D<T>::SetEta(Scalar eta) {
GenVector_exception e("Polar3D::SetEta() is not supposed to be called");
throw e;
CylindricalEta3D<Scalar> v(*this); v.SetEta(eta);
*this = Polar3D<Scalar>(v);
}
#endif
} // end namespace Math
} // end namespace ROOT
#endif /* ROOT_Math_GenVector_Polar3D */
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