source: trunk/CLHEP/Vector/Boost.icc@ 22

// -*- C++ -*-
// ---------------------------------------------------------------------------
//
// This file is a part of the CLHEP - a Class Library for High Energy Physics.
// 
// This is the definitions of the inline member functions of the
// HepBoost class
//

#include <cmath>

namespace CLHEP  {

// ----------  Constructors and Assignment:

inline HepBoost::HepBoost() : rep_() {}

inline HepBoost::HepBoost(const HepBoost & m) : rep_(m.rep_) {}

inline HepBoost & HepBoost::operator = (const HepBoost & m) { 
  rep_ = m.rep_; 
  return *this;
}

inline HepBoost::HepBoost(double betaX, double betaY, double betaZ) 
{
  set(betaX, betaY, betaZ);
}

inline HepBoost::HepBoost(const HepRep4x4Symmetric & m) : rep_(m) {}

inline HepBoost::HepBoost(Hep3Vector direction, double beta) 
{
  double length = direction.mag();
  if (length==0) {
    ZMthrowC ( ZMxpvZeroVector("HepBoost constructed using a zero vector as direction") );
    set(0,0,0);
  }
  set(beta*direction.x()/length,
      beta*direction.y()/length,
      beta*direction.z()/length);
}

inline HepBoost::HepBoost(const Hep3Vector & boost) 
{
  set(boost.x(), boost.y(), boost.z());
}

inline HepBoost::HepBoost(const HepBoostX & boost) {set(boost.boostVector());}
inline HepBoost::HepBoost(const HepBoostY & boost) {set(boost.boostVector());}
inline HepBoost::HepBoost(const HepBoostZ & boost) {set(boost.boostVector());}
inline HepBoost & HepBoost::set(const HepBoostX & boost) 
                                            {return set(boost.boostVector());}
inline HepBoost & HepBoost::set(const HepBoostY & boost)
                                            {return set(boost.boostVector());}
inline HepBoost & HepBoost::set(const HepBoostZ & boost)
                                            {return set(boost.boostVector());}

// - Protected method:
inline HepBoost::HepBoost ( 
  double xx, double xy, double xz, double xt,
                double yy, double yz, double yt,
                              double zz, double zt,
                                            double tt) :
          rep_ ( xx, xy, xz, xt, yy, yz, yt, zz, zt, tt ) {}    

// ----------  Accessors:

inline double  HepBoost::beta() const {   
  return std::sqrt( 1.0 - 1.0 / (rep_.tt_ * rep_.tt_) );
}

inline double  HepBoost::gamma() const {
  return rep_.tt_; 
}

inline Hep3Vector HepBoost::boostVector() const { 
  return  (1.0/rep_.tt_) * Hep3Vector( rep_.xt_, rep_.yt_, rep_.zt_ );
}

inline Hep3Vector HepBoost::getDirection() const { 
  double norm = 1.0/beta();
  return  (norm*boostVector());
}

inline Hep3Vector HepBoost::direction() const { 
  return  getDirection();
}

inline double HepBoost::xx() const { return rep_.xx_; }
inline double HepBoost::xy() const { return rep_.xy_; }
inline double HepBoost::xz() const { return rep_.xz_; }
inline double HepBoost::xt() const { return rep_.xt_; }
inline double HepBoost::yx() const { return rep_.xy_; }
inline double HepBoost::yy() const { return rep_.yy_; }
inline double HepBoost::yz() const { return rep_.yz_; }
inline double HepBoost::yt() const { return rep_.yt_; }
inline double HepBoost::zx() const { return rep_.xz_; }
inline double HepBoost::zy() const { return rep_.yz_; }
inline double HepBoost::zz() const { return rep_.zz_; }
inline double HepBoost::zt() const { return rep_.zt_; }
inline double HepBoost::tx() const { return rep_.xt_; }
inline double HepBoost::ty() const { return rep_.yt_; }
inline double HepBoost::tz() const { return rep_.zt_; }
inline double HepBoost::tt() const { return rep_.tt_; }

inline HepLorentzVector HepBoost::col1() const {
  return HepLorentzVector ( xx(), yx(), zx(), tx() );
}
inline HepLorentzVector HepBoost::col2() const {
  return HepLorentzVector ( xy(), yy(), zy(), ty() );
}
inline HepLorentzVector HepBoost::col3() const {
  return HepLorentzVector ( xz(), yz(), zz(), tz() );
}
inline HepLorentzVector HepBoost::col4() const {
  return HepLorentzVector ( xt(), yt(), zt(), tt() );
}

inline HepLorentzVector HepBoost::row1() const {
  return HepLorentzVector ( col1() );
}
inline HepLorentzVector HepBoost::row2() const {
  return HepLorentzVector ( col2() );
}
inline HepLorentzVector HepBoost::row3() const {
  return HepLorentzVector ( col3() );
}
inline HepLorentzVector HepBoost::row4() const {
  return HepLorentzVector ( col4() );
}

inline HepRep4x4 HepBoost::rep4x4() const {
  return HepRep4x4( rep_ );
}

inline HepRep4x4Symmetric HepBoost::rep4x4Symmetric() const {
  return rep_;
}


inline void HepBoost::setBoost(double bx, double by, double bz) {
  set(bx, by, bz);
}


// ----------  Comparisons:

int HepBoost::compare ( const HepBoost & b ) const {
  const HepRep4x4Symmetric & s = b.rep4x4Symmetric();
       if (rep_.tt_ < s.tt_) return -1; else if (rep_.tt_ > s.tt_) return 1;
  else if (rep_.zt_ < s.zt_) return -1; else if (rep_.zt_ > s.zt_) return 1;
  else if (rep_.zz_ < s.zz_) return -1; else if (rep_.zz_ > s.zz_) return 1;
  else if (rep_.yt_ < s.yt_) return -1; else if (rep_.yt_ > s.yt_) return 1;
  else if (rep_.yz_ < s.yz_) return -1; else if (rep_.yz_ > s.yz_) return 1;
  else if (rep_.yy_ < s.yy_) return -1; else if (rep_.yy_ > s.yy_) return 1;
  else if (rep_.xt_ < s.xt_) return -1; else if (rep_.xt_ > s.xt_) return 1;
  else if (rep_.xz_ < s.xz_) return -1; else if (rep_.xz_ > s.xz_) return 1;
  else if (rep_.xy_ < s.xy_) return -1; else if (rep_.xy_ > s.xy_) return 1;
  else if (rep_.xx_ < s.xx_) return -1; else if (rep_.xx_ > s.xx_) return 1;
  else return 0;
}

inline bool
HepBoost::operator == (const HepBoost & b) const {
  const HepRep4x4Symmetric & s = b.rep4x4Symmetric();
  return ( 
     rep_.xx_==s.xx_ && rep_.xy_==s.xy_ && rep_.xz_==s.xz_ && rep_.xt_==s.xt_ 
                     && rep_.yy_==s.yy_ && rep_.yz_==s.yz_ && rep_.yt_==s.yt_ 
                                        && rep_.zz_==s.zz_ && rep_.zt_==s.zt_ 
                                                           && rep_.tt_==s.tt_ 
  );
}

inline bool
HepBoost::operator != (const HepBoost & r) const {
  return ( !(operator==(r)) );
}
inline bool HepBoost::operator <= ( const HepBoost & b ) const
        { return compare(b)<= 0; }
inline bool HepBoost::operator >= ( const HepBoost & b ) const
        { return compare(b)>= 0; }
inline bool HepBoost::operator <  ( const HepBoost & b ) const
        { return compare(b)<  0; }
inline bool HepBoost::operator >  ( const HepBoost & b ) const
        { return compare(b)>  0; }

inline bool HepBoost::isIdentity() const {
  return (xx() == 1.0 && xy() == 0.0 && xz() == 0.0 && xt() == 0.0 
                      && yy() == 1.0 && yz() == 0.0 && yt() == 0.0 
                                     && zz() == 1.0 && zt() == 0.0 
                                                    && tt() == 1.0);
}

inline double HepBoost::distance2( const HepBoost & b ) const {
  double bgx = rep_.xt_ - b.rep_.xt_;
  double bgy = rep_.yt_ - b.rep_.yt_;
  double bgz = rep_.zt_ - b.rep_.zt_;
  return bgx*bgx+bgy*bgy+bgz*bgz;
}

inline double HepBoost::distance2( const HepBoostX & bx ) const {
  double bgx = rep_.xt_ - bx.beta()*bx.gamma();
  double bgy = rep_.yt_;
  double bgz = rep_.zt_;
  return bgx*bgx+bgy*bgy+bgz*bgz;
}

inline double HepBoost::distance2( const HepBoostY & by ) const {
  double bgy = rep_.xt_;
  double bgx = rep_.yt_ - by.beta()*by.gamma();
  double bgz = rep_.zt_;
  return bgx*bgx+bgy*bgy+bgz*bgz;
}

inline double HepBoost::distance2( const HepBoostZ & bz ) const {
  double bgz = rep_.xt_;
  double bgy = rep_.yt_;
  double bgx = rep_.zt_ - bz.beta()*bz.gamma();
  return bgx*bgx+bgy*bgy+bgz*bgz;
}

inline double HepBoost::howNear ( const HepBoost & b ) const {
  return std::sqrt(distance2(b));
}

inline bool HepBoost::isNear(const HepBoost & b, double epsilon) const{
  return (distance2(b) <= epsilon*epsilon);
}

// ---------- Application:

// - Protected method:
inline HepLorentzVector
HepBoost::vectorMultiplication(const HepLorentzVector & p) const {
  register double x = p.x();
  register double y = p.y();
  register double z = p.z();
  register double t = p.t();
  return HepLorentzVector( rep_.xx_*x + rep_.xy_*y + rep_.xz_*z + rep_.xt_*t,
                           rep_.xy_*x + rep_.yy_*y + rep_.yz_*z + rep_.yt_*t,
                           rep_.xz_*x + rep_.yz_*y + rep_.zz_*z + rep_.zt_*t,
                           rep_.xt_*x + rep_.yt_*y + rep_.zt_*z + rep_.tt_*t);
}

inline HepLorentzVector
HepBoost::operator () (const HepLorentzVector & p) const {
  return vectorMultiplication(p);
}

inline HepLorentzVector
HepBoost::operator * (const HepLorentzVector & p) const {
  return vectorMultiplication(p);
}


// ---------- Operations in the group of 4-Rotations

inline HepBoost HepBoost::inverse() const {
  return HepBoost( xx(),  yx(),  zx(), -tx(),
                          yy(),  zy(), -ty(),
                                 zz(), -tz(),
                                        tt());
}

inline HepBoost inverseOf ( const HepBoost & lt ) {
  return HepBoost( lt.xx(),  lt.yx(),  lt.zx(), -lt.tx(),
                             lt.yy(),  lt.zy(), -lt.ty(),
                                       lt.zz(), -lt.tz(),
                                                 lt.tt());
}

inline HepBoost & HepBoost::invert() {
  rep_.xt_ = -rep_.xt_;
  rep_.yt_ = -rep_.yt_;
  rep_.zt_ = -rep_.zt_;
  return *this;
}

// ---------- Tolerance:

inline double HepBoost::getTolerance() {
  return Hep4RotationInterface::tolerance;
}
inline double HepBoost::setTolerance(double tol) {
  return Hep4RotationInterface::setTolerance(tol);
}

}  // namespace CLHEP