/usr/include/siscone/spherical/momentum.h is in libsiscone-spherical-dev 2.0.6-1.
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///////////////////////////////////////////////////////////////////////////////
// File: momentum.h //
// Description: header file for 4-momentum class Cmomentum //
// This file is part of the SISCone project. //
// WARNING: this is not the main SISCone trunk but //
// an adaptation to spherical coordinates //
// For more details, see http://projects.hepforge.org/siscone //
// //
// Copyright (c) 2006-2008 Gavin Salam and Gregory Soyez //
// //
// This program is free software; you can redistribute it and/or modify //
// it under the terms of the GNU General Public License as published by //
// the Free Software Foundation; either version 2 of the License, or //
// (at your option) any later version. //
// //
// This program is distributed in the hope that it will be useful, //
// but WITHOUT ANY WARRANTY; without even the implied warranty of //
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the //
// GNU General Public License for more details. //
// //
// You should have received a copy of the GNU General Public License //
// along with this program; if not, write to the Free Software //
// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA //
// //
// $Revision:: 256 $//
// $Date:: 2008-07-14 13:52:16 +0200 (Mon, 14 Jul 2008) $//
///////////////////////////////////////////////////////////////////////////////
#ifndef __SPH_VECTOR_H__
#define __SPH_VECTOR_H__
#include <vector>
#include <math.h>
#include <siscone/reference.h>
#include "geom_2d.h"
#include <siscone/defines.h>
namespace siscone_spherical{
/**
* \class CSph3vector
* \brief base class for managing the spatial part of Cmomentum (defined after)
*
* This class contains the information for particle or group of
* particles management.
* It is adapted to use spherical geometry, where, for our purposes,
* the only time-consuming operation we need is the computation of
* the norm. To compute it once-and-for-all and store it in a local
* variable, you should call the 'build_norm' method.
* On top of that, the angle phi is computed from the x-axis
* and theta from the "north pole".
*/
class CSph3vector{
public:
/// default ctor
CSph3vector();
/// ctor with initialisation
CSph3vector(double _px, double _py, double _pz);
/// default dtor
~CSph3vector();
/// assignment of vectors
CSph3vector& operator = (const CSph3vector &v);
/// addition of vectors
/// WARNING= norm is not updated
const CSph3vector operator + (const CSph3vector &v);
/// subtraction of vectors
/// WARNING= norm is not updated
const CSph3vector operator - (const CSph3vector &v);
/// division by a constant
/// WARNING= norm is not updated
const CSph3vector operator / (const double &r);
/// incrementation of vectors
/// WARNING= norm is not updated
CSph3vector& operator += (const CSph3vector &v);
/// decrementation of vectors
/// WARNING= norm is not updated
CSph3vector& operator -= (const CSph3vector &v);
/// multiplication by a constant
/// WARNING= norm is not updated
CSph3vector& operator *= (const double &r);
/// division by a constant
/// WARNING= norm is not updated
CSph3vector& operator /= (const double &r);
/// computes pT
inline double perp() const {return sqrt(perp2());}
/// computes pT^2
inline double perp2() const {return px*px+py*py;}
/// 3-vect norm
inline double norm() const {return sqrt(px*px+py*py+pz*pz);}
/// 3-vect norm squared
inline double norm2() const {return px*px+py*py+pz*pz;}
/// 3-vect azimuthal angle
inline double phi() const {return atan2(py, px);}
/// 3-vect polar angle
inline double theta() const {return atan2(perp(),pz);}
/// build the spatial normfrom 4-momentum info
/// !!! WARNING !!!
/// !!! computing the norm is the only time-consuming !!!
/// !!! information we need in all computations. !!!
/// !!! use this whenever you need repeated access !!!
/// !!! to the norm to store it in the local variable !!!
void build_norm();
/// just a useful tool to store theta and phi
/// locally (in _theta and _phi) in case you need
/// repeated access
void build_thetaphi();
/// for this direction, compute the two reference directions
/// used to measure angles
void get_angular_directions(CSph3vector &angular_dir1, CSph3vector &angular_dir2);
double px; ///< x-momentum
double py; ///< y-momentum
double pz; ///< z-momentum
double _norm; ///< particle spatial norm (available ONLY after a call to build_norm)
double _theta; ///< particle theta angle (available ONLY after a call to build_thetaphi)
double _phi; ///< particle phi angle (available ONLY after a call to build_thetaphi)
//////////////////////////////////////////////
// the following part is used for checksums //
//////////////////////////////////////////////
siscone::Creference ref; ///< reference number for the vector
};
/**
* \class CSphmomentum
* \brief base class for dynamic coordinates management
*
* This class contains the information for particle or group of
* particles management.
* It is adapted to use spherical geometry, where, for our purposes,
* the only time-consuming operation we need is the computation of
* the norm. To compute it once-and-for-all and store it in a local
* variable, you should call the 'build_norm' method.
* On top of that, the angle phi is computed from the x-axis
* and theta from the "north pole".
*/
class CSphmomentum : public CSph3vector{
public:
/// default ctor
CSphmomentum();
/// init from a 3-vect
CSphmomentum(CSph3vector &init, double E=0.0);
/// ctor with initialisation
CSphmomentum(double _px, double _py, double _pz, double _E);
/// ctor with detailed initialisation
//CSphmomentum(double _eta, double _phi, siscone::Creference _ref);
/// default dtor
~CSphmomentum();
/// computes m
inline double mass() const {return sqrt(mass2());}
/// computes m^2
inline double mass2() const {return perpmass2()-perp2();}
/// transverse mass, mt = sqrt(pt^2+m^2) = sqrt(E^2 - pz^2)
inline double perpmass() const {return sqrt((E-pz)*(E+pz));}
/// transverse mass squared, mt^2 = pt^2+m^2 = E^2 - pz^2
inline double perpmass2() const {return (E-pz)*(E+pz);}
/// computes transverse energy
inline double Et() const {return E/sqrt(1.0+pz*pz/perp2());}
/// computes transverse energy (squared)
inline double Et2() const {return E*E/(1.0+pz*pz/perp2());}
/// assignment of vectors
CSphmomentum& operator = (const CSphmomentum &v);
/// addition of vectors
/// !!! WARNING !!! no updating of eta and phi !!!
const CSphmomentum operator + (const CSphmomentum &v);
/// incrementation of vectors
/// !!! WARNING !!! no updating of eta and phi !!!
CSphmomentum& operator += (const CSphmomentum &v);
/// decrementation of vectors
/// !!! WARNING !!! no updating of eta and phi !!!
CSphmomentum& operator -= (const CSphmomentum &v);
double E; ///< energy
int parent_index; ///< particle number in the parent list
int index; ///< internal particle number
};
/// ordering of two vectors
/// this is by default done w.r.t. their references
bool operator < (const CSphmomentum &v1, const CSphmomentum &v2);
/// ordering of vectors in eta (e.g. used in collinear tests)
bool momentum_theta_less(const CSphmomentum &v1, const CSphmomentum &v2);
/// ordering of vectors in pt
bool momentum_pt_less(const CSphmomentum &v1, const CSphmomentum &v2);
//////////////////////////
// some handy utilities //
//////////////////////////
/// square
inline double sqr(double x){return x*x;}
/// dot product for te spatial 3-vect
/// \param v1 first 4-vect
/// \param v2 second 4-vect
inline double dot_product3(const CSph3vector &v1, const CSph3vector &v2){
//double tmp = v1.px*v2.px + v1.py*v2.py + v1.pz*v2.pz;
//if (!isfinite(tmp)){
// std::cout << "dot_product inf: " << std::endl;
// std::cout << " angles: " << v1._theta << " " << v1._phi << " and " << v2._theta << " " << v2._phi << std::endl;
// std::cout << " moms : " << v1.px << " " << v1.py << " " << v1.pz
// << " and " << v2.px << " " << v2.py << " " << v2.pz << std::endl;
//}
return v1.px*v2.px + v1.py*v2.py + v1.pz*v2.pz;
}
/// cross product for the spatial 3-vect
/// \param v1 first 4-vect
/// \param v2 second 4-vect
inline CSph3vector cross_product3(const CSph3vector &v1, const CSph3vector &v2){
//CSph3vector tmp;
//tmp.px = v1.py*v2.pz-v1.pz*v2.py;
//tmp.py = v1.pz*v2.px-v1.px*v2.pz;
//tmp.pz = v1.px*v2.py-v1.py*v2.px;
//return tmp;
return CSph3vector(v1.py*v2.pz-v1.pz*v2.py,
v1.pz*v2.px-v1.px*v2.pz,
v1.px*v2.py-v1.py*v2.px);
}
/// squared norm of the cross product for the spatial 3-vect (energy is set to 0)
/// \param v1 first 4-vect
/// \param v2 second 4-vect
inline double norm2_cross_product3(const CSph3vector &v1, const CSph3vector &v2){
return sqr(v1.py*v2.pz-v1.pz*v2.py) + sqr(v1.pz*v2.px-v1.px*v2.pz) + sqr(v1.px*v2.py-v1.py*v2.px);
}
/// get tangent squared of the spherical distance between two vectors
/// \param v1 vector defining the first point
/// \param v2 vector defining the second point
inline double get_tan2_distance(const CSphmomentum &v1, const CSphmomentum &v2){
return norm2_cross_product3(v1,v2)/sqr(dot_product3(v1,v2));
}
/// get spherical distance between to vectors
/// \param v1 vector defining the first point
/// \param v2 vector defining the second point
inline double get_distance(const CSph3vector *v1, const CSph3vector *v2){
return atan2(sqrt(norm2_cross_product3(*v1,*v2)), dot_product3(*v1,*v2));
}
/// return true if the two points are distant by less than get spherical distance between two vectors
/// \param v1 vector defining the first point
/// \param v2 vector defining the second point
/// \param tan2R tangent squared of the max distance
/// WARNING: using the tangent here is dangerous for R>pi/2.
/// this never happens per se for "regular R" but
/// it may in the vicinity computation as we're using
/// 2R there.
inline bool is_closer(const CSph3vector *v1, const CSph3vector *v2, const double tan2R){
double dot = dot_product3(*v1,*v2);
return (dot>=0) && (norm2_cross_product3(*v1,*v2)<=tan2R*dot*dot);
}
/// return true if the two points are distant by less than get spherical distance between to vectors
/// \param v1 vector defining the first point
/// \param v2 vector defining the second point
/// \param tan2R tangent squared of the max distance
/// safer version but computes the norm
inline bool is_closer_safer(const CSph3vector *v1, const CSph3vector *v2, const double cosR){
return dot_product3(*v1,*v2)>=cosR*sqrt(v1->norm2()*v2->norm2());
//double dot = dot_product3(*v1,*v2);
//return (dot>=0) && (norm2_cross_product3(*v1,*v2)<tan2R*dot*dot);
}
/// multiply a vector by a constant
/// WARNING: norm not updated
inline CSph3vector operator * (const double &r, const CSph3vector &v){
CSph3vector tmp = v;
return tmp*=r;
}
}
#endif
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