LorentzRotation.icc

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// -*- C++ -*-
// $Id:$
// ---------------------------------------------------------------------------
//
// 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
// HepLorentzRotation class
//

namespace CLHEP {

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

inline HepLorentzRotation::HepLorentzRotation() :
    mxx(1.0), mxy(0.0), mxz(0.0), mxt(0.0),
    myx(0.0), myy(1.0), myz(0.0), myt(0.0),
    mzx(0.0), mzy(0.0), mzz(1.0), mzt(0.0),
    mtx(0.0), mty(0.0), mtz(0.0), mtt(1.0) {}

inline HepLorentzRotation::HepLorentzRotation(const HepLorentzRotation & r) :
    mxx(r.mxx), mxy(r.mxy), mxz(r.mxz), mxt(r.mxt),
    myx(r.myx), myy(r.myy), myz(r.myz), myt(r.myt),
    mzx(r.mzx), mzy(r.mzy), mzz(r.mzz), mzt(r.mzt),
    mtx(r.mtx), mty(r.mty), mtz(r.mtz), mtt(r.mtt) {}

inline HepLorentzRotation::HepLorentzRotation(const HepRotation & r) {
    set (r.rep4x4());
}
inline HepLorentzRotation::HepLorentzRotation(const HepRotationX & r) {
    set (r.rep4x4());
}
inline HepLorentzRotation::HepLorentzRotation(const HepRotationY & r) {
    set (r.rep4x4());
}
inline HepLorentzRotation::HepLorentzRotation(const HepRotationZ & r) {
    set (r.rep4x4());
}

inline HepLorentzRotation::HepLorentzRotation(const HepBoost & b) {
    set (b.rep4x4());
}
inline HepLorentzRotation::HepLorentzRotation(const HepBoostX & b) {
    set (b.rep4x4());
}
inline HepLorentzRotation::HepLorentzRotation(const HepBoostY & b) {
    set (b.rep4x4());
}
inline HepLorentzRotation::HepLorentzRotation(const HepBoostZ & b) {
    set (b.rep4x4());
}

inline HepLorentzRotation &
HepLorentzRotation::operator = (const HepLorentzRotation & r) {
  mxx = r.mxx; mxy = r.mxy; mxz = r.mxz; mxt = r.mxt;
  myx = r.myx; myy = r.myy; myz = r.myz; myt = r.myt;
  mzx = r.mzx; mzy = r.mzy; mzz = r.mzz; mzt = r.mzt;
  mtx = r.mtx; mty = r.mty; mtz = r.mtz; mtt = r.mtt;
  return *this;
}

inline HepLorentzRotation &
HepLorentzRotation::operator = (const HepRotation & m1) {
  return set (m1.rep4x4());
}

inline HepLorentzRotation &
HepLorentzRotation::operator = (const HepBoost & m1) {
  return set (m1.rep4x4());
}

HepLorentzRotation & HepLorentzRotation::set (const Hep3Vector & p) {
  return set (p.x(), p.y(), p.z());
}

inline HepLorentzRotation & HepLorentzRotation::set (const HepRotation & r) {
  return set (r.rep4x4());
}
inline HepLorentzRotation & HepLorentzRotation::set (const HepRotationX & r) {
  return set (r.rep4x4());
}
inline HepLorentzRotation & HepLorentzRotation::set (const HepRotationY & r) {
  return set (r.rep4x4());
}
inline HepLorentzRotation & HepLorentzRotation::set (const HepRotationZ & r) {
  return set (r.rep4x4());
}

inline HepLorentzRotation & HepLorentzRotation::set (const HepBoost & bboost) {
  return set (bboost.rep4x4());
}
inline HepLorentzRotation & HepLorentzRotation::set (const HepBoostX & bboost) {
  return set (bboost.rep4x4());
}
inline HepLorentzRotation & HepLorentzRotation::set (const HepBoostY & bboost) {
  return set (bboost.rep4x4());
}
inline HepLorentzRotation & HepLorentzRotation::set (const HepBoostZ & bboost) {
  return set (bboost.rep4x4());
}

inline HepLorentzRotation::HepLorentzRotation(double bx,
                                              double by,
                                              double bz) 
{
  set(bx, by, bz);
}

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

inline HepLorentzRotation::HepLorentzRotation(
                const HepBoost & B, const HepRotation & R)
{
  set(B, R);
}

inline HepLorentzRotation::HepLorentzRotation( 
                const HepRotation & R, const HepBoost & B) 
{
  set(R, B);
}

inline HepLorentzRotation & HepLorentzRotation::set( const HepRep4x4 & rep ) {
  mxx=rep.xx_;  mxy=rep.xy_;  mxz=rep.xz_;  mxt=rep.xt_;
  myx=rep.yx_;  myy=rep.yy_;  myz=rep.yz_;  myt=rep.yt_;
  mzx=rep.zx_;  mzy=rep.zy_;  mzz=rep.zz_;  mzt=rep.zt_;
  mtx=rep.tx_;  mty=rep.ty_;  mtz=rep.tz_;  mtt=rep.tt_;
  return *this;
}

inline HepLorentzRotation ::HepLorentzRotation ( const HepRep4x4 & rep ) :
    mxx(rep.xx_), mxy(rep.xy_), mxz(rep.xz_), mxt(rep.xt_),
    myx(rep.yx_), myy(rep.yy_), myz(rep.yz_), myt(rep.yt_),
    mzx(rep.zx_), mzy(rep.zy_), mzz(rep.zz_), mzt(rep.zt_),
    mtx(rep.tx_), mty(rep.ty_), mtz(rep.tz_), mtt(rep.tt_) {}

// - Protected methods

inline HepLorentzRotation::HepLorentzRotation( 
  double rxx, double rxy, double rxz, double rxt,
  double ryx, double ryy, double ryz, double ryt,
  double rzx, double rzy, double rzz, double rzt,
  double rtx, double rty, double rtz, double rtt) : 
    mxx(rxx), mxy(rxy), mxz(rxz), mxt(rxt),
    myx(ryx), myy(ryy), myz(ryz), myt(ryt),
    mzx(rzx), mzy(rzy), mzz(rzz), mzt(rzt),
    mtx(rtx), mty(rty), mtz(rtz), mtt(rtt) {}

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

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

inline double HepLorentzRotation::xx() const { return mxx; }
inline double HepLorentzRotation::xy() const { return mxy; }
inline double HepLorentzRotation::xz() const { return mxz; }
inline double HepLorentzRotation::xt() const { return mxt; }
inline double HepLorentzRotation::yx() const { return myx; }
inline double HepLorentzRotation::yy() const { return myy; }
inline double HepLorentzRotation::yz() const { return myz; }
inline double HepLorentzRotation::yt() const { return myt; }
inline double HepLorentzRotation::zx() const { return mzx; }
inline double HepLorentzRotation::zy() const { return mzy; }
inline double HepLorentzRotation::zz() const { return mzz; }
inline double HepLorentzRotation::zt() const { return mzt; }
inline double HepLorentzRotation::tx() const { return mtx; }
inline double HepLorentzRotation::ty() const { return mty; }
inline double HepLorentzRotation::tz() const { return mtz; }
inline double HepLorentzRotation::tt() const { return mtt; }

inline HepLorentzVector HepLorentzRotation::col1() const {
  return HepLorentzVector ( mxx, myx, mzx, mtx );
}
inline HepLorentzVector HepLorentzRotation::col2() const {
  return HepLorentzVector ( mxy, myy, mzy, mty );
}
inline HepLorentzVector HepLorentzRotation::col3() const {
  return HepLorentzVector ( mxz, myz, mzz, mtz );
}
inline HepLorentzVector HepLorentzRotation::col4() const {
  return HepLorentzVector ( mxt, myt, mzt, mtt );
}

inline HepLorentzVector HepLorentzRotation::row1() const {
  return HepLorentzVector ( mxx, mxy, mxz, mxt );
}
inline HepLorentzVector HepLorentzRotation::row2() const {
  return HepLorentzVector ( myx, myy, myz, myt );
}
inline HepLorentzVector HepLorentzRotation::row3() const {
  return HepLorentzVector ( mzx, mzy, mzz, mzt );
}
inline HepLorentzVector HepLorentzRotation::row4() const {
  return HepLorentzVector ( mtx, mty, mtz, mtt );
}

inline HepRep4x4 HepLorentzRotation::rep4x4() const {
  return HepRep4x4( mxx, mxy, mxz, mxt, 
                    myx, myy, myz, myt,
                    mzx, mzy, mzz, mzt,
                    mtx, mty, mtz, mtt );
}


// ------------  Subscripting:

inline HepLorentzRotation::HepLorentzRotation_row::HepLorentzRotation_row
(const HepLorentzRotation & r, int i) : rr(r), ii(i) {}

inline double
HepLorentzRotation::HepLorentzRotation_row::operator [] (int jj) const {
  return rr(ii,jj);
}

inline const HepLorentzRotation::HepLorentzRotation_row
HepLorentzRotation::operator [] (int i) const {
  return HepLorentzRotation_row(*this, i);
}

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

inline bool
HepLorentzRotation::operator == (const HepLorentzRotation & r) const {
  return (mxx == r.xx() && mxy == r.xy() && mxz == r.xz() && mxt == r.xt() && 
          myx == r.yx() && myy == r.yy() && myz == r.yz() && myt == r.yt() && 
          mzx == r.zx() && mzy == r.zy() && mzz == r.zz() && mzt == r.zt() && 
          mtx == r.tx() && mty == r.ty() && mtz == r.tz() && mtt == r.tt());
}

inline bool
HepLorentzRotation::operator != (const HepLorentzRotation & r) const {
  return ! operator==(r);
}

inline bool 
HepLorentzRotation::operator < ( const HepLorentzRotation & r ) const
        { return compare(r)< 0; }
inline bool 
HepLorentzRotation::operator <= ( const HepLorentzRotation & r ) const
        { return compare(r)<=0; }

inline bool 
HepLorentzRotation::operator >= ( const HepLorentzRotation & r ) const
        { return compare(r)>=0; }
inline bool 
HepLorentzRotation::operator > ( const HepLorentzRotation & r ) const
        { return compare(r)> 0; }

inline bool HepLorentzRotation::isIdentity() const {
  return (mxx == 1.0 && mxy == 0.0 && mxz == 0.0 && mxt == 0.0 && 
          myx == 0.0 && myy == 1.0 && myz == 0.0 && myt == 0.0 && 
          mzx == 0.0 && mzy == 0.0 && mzz == 1.0 && mzt == 0.0 && 
          mtx == 0.0 && mty == 0.0 && mtz == 0.0 && mtt == 1.0);
}

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

inline HepLorentzVector
HepLorentzRotation::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(mxx*x + mxy*y + mxz*z + mxt*t,
                          myx*x + myy*y + myz*z + myt*t,
                          mzx*x + mzy*y + mzz*z + mzt*t,
                          mtx*x + mty*y + mtz*z + mtt*t);
}

inline HepLorentzVector 
HepLorentzRotation::operator() (const HepLorentzVector & w) const {
  return vectorMultiplication(w);
}

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

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

inline HepLorentzRotation 
HepLorentzRotation::operator * (const HepBoost & b) const {
  return matrixMultiplication(b.rep4x4());
}
inline HepLorentzRotation 
HepLorentzRotation::operator * (const HepRotation & r) const {
  return matrixMultiplication(r.rep4x4());
}
inline HepLorentzRotation 
HepLorentzRotation::operator * (const HepLorentzRotation & lt) const {
  return matrixMultiplication(lt.rep4x4());
}
 
inline HepLorentzRotation &
HepLorentzRotation::operator *= (const HepBoost & b) {
  return *this = matrixMultiplication(b.rep4x4());
}
inline HepLorentzRotation &
HepLorentzRotation::operator *= (const HepRotation & r) {
  return *this = matrixMultiplication(r.rep4x4());
}
inline HepLorentzRotation &
HepLorentzRotation::operator *= (const HepLorentzRotation & lt) {
  return *this = matrixMultiplication(lt.rep4x4());
}

inline HepLorentzRotation &
HepLorentzRotation::transform   (const HepBoost & b) {
  return *this = HepLorentzRotation(b).matrixMultiplication(rep4x4());
}
inline HepLorentzRotation &
HepLorentzRotation::transform   (const HepRotation & r) {
  return *this = HepLorentzRotation(r).matrixMultiplication(rep4x4());
}
inline HepLorentzRotation &
HepLorentzRotation::transform   (const HepLorentzRotation & lt) {
  return *this = lt.matrixMultiplication(rep4x4());
}

inline HepLorentzRotation &
HepLorentzRotation::rotate(double angle, const Hep3Vector & axis) {
  return transform(HepRotation().rotate(angle, axis));
}

inline HepLorentzRotation &
HepLorentzRotation::rotate(double angle, const Hep3Vector * axis) {
  return transform(HepRotation().rotate(angle, axis));
}

inline HepLorentzRotation &
HepLorentzRotation::boost(double bx, double by, double bz) {
  return transform(HepLorentzRotation(bx, by, bz));
}

inline HepLorentzRotation &
HepLorentzRotation::boost(const Hep3Vector & b) {
  return transform(HepLorentzRotation(b));
}

inline HepLorentzRotation HepLorentzRotation::inverse() const {
  return HepLorentzRotation( mxx,  myx,  mzx, -mtx,
                             mxy,  myy,  mzy, -mty,
                             mxz,  myz,  mzz, -mtz,
                            -mxt, -myt, -mzt,  mtt );
}

inline HepLorentzRotation & HepLorentzRotation::invert() {
  return *this = inverse();
}

inline HepLorentzRotation inverseOf ( const HepLorentzRotation & lt ) {
  return HepLorentzRotation( 
         HepRep4x4(
                             lt.mxx,  lt.myx,  lt.mzx, -lt.mtx,
                             lt.mxy,  lt.myy,  lt.mzy, -lt.mty,
                             lt.mxz,  lt.myz,  lt.mzz, -lt.mtz,
                            -lt.mxt, -lt.myt, -lt.mzt,  lt.mtt )  );
}

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

}  // namespace CLHEP

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