FourMomentum Class Reference

Specialized version of the FourVector with momentum/energy functionality. More...

#include <Vector4.hh>

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List of all members.

Classes

struct  byEAscending
 Struct for sorting by increasing energy. More...
struct  byEDescending
 Struct for sorting by decreasing energy. More...

Public Member Functions

 FourMomentum ()
template<typename V4 >
 FourMomentum (const V4 &other)
 FourMomentum (const Vector< 4 > &other)
 FourMomentum (const double E, const double px, const double py, const double pz)
 ~FourMomentum ()
double E () const
 Get energy $ E $ (time component of momentum).
Vector3 p () const
 Get 3-momentum part, $ p $.
double px () const
 Get x-component of momentum $ p_x $.
double py () const
 Get y-component of momentum $ p_y $.
double pz () const
 Get z-component of momentum $ p_z $.
FourMomentum & setE (double E)
 Set energy $ E $ (time component of momentum).
FourMomentum & setPx (double px)
 Set x-component of momentum $ p_x $.
FourMomentum & setPy (double py)
 Set y-component of momentum $ p_y $.
FourMomentum & setPz (double pz)
 Set z-component of momentum $ p_z $.
double mass () const
 Get the mass $ m = \sqrt{E^2 - p^2} $ (the Lorentz self-invariant).
double massT () const
 Calculate the transverse mass $ m_T = m \sin{\theta} $.
double mass2 () const
 Get the squared mass $ m^2 = E^2 - p^2 $ (the Lorentz self-invariant).
double massT2 () const
 Calculate the squared transverse mass $ m_T^2 = m^2 \sin^2{\theta} $.
double rapidity () const
 Calculate the rapidity.
double pT2 () const
 Calculate the squared transverse momentum $ p_T^2 $.
double pT () const
 Calculate the transverse momentum $ p_T $.
double Et2 () const
 Calculate the transverse energy $ E_T^2 = E^2 \sin^2{\theta} $.
double Et () const
 Calculate the transverse energy $ E_T = E \sin{\theta} $.
Vector3 boostVector () const
 Calculate the boost vector (in units of $ \beta $).
FourMomentum & operator*= (double a)
 Multiply by a scalar.
FourMomentum & operator/= (double a)
 Divide by a scalar.
FourMomentum & operator+= (const FourMomentum &v)
FourMomentum & operator-= (const FourMomentum &v)
FourMomentum operator- () const
 Invert the vector.
double t () const
double x () const
double y () const
double z () const
FourVector & setT (const double t)
FourVector & setX (const double x)
FourVector & setY (const double y)
FourVector & setZ (const double z)
double invariant () const
double angle (const FourVector &v) const
 Angle between this vector and another.
double angle (const Vector3 &v3) const
 Angle between this vector and another (3-vector).
double polarRadius2 () const
 Square of the projection of the 3-vector on to the $ x-y $ plane This is a more efficient function than polarRadius, as it avoids the square root. Use it if you only need the squared value, or e.g. an ordering by magnitude.
double perp2 () const
 Synonym for polarRadius2.
double rho2 () const
 Synonym for polarRadius2.
double polarRadius () const
 Projection of 3-vector on to the $ x-y $ plane.
double perp () const
 Synonym for polarRadius.
double rho () const
 Synonym for polarRadius.
double azimuthalAngle (const PhiMapping mapping=ZERO_2PI) const
 Angle subtended by the 3-vector's projection in x-y and the x-axis.
double phi (const PhiMapping mapping=ZERO_2PI) const
 Synonym for azimuthalAngle.
double polarAngle () const
 Angle subtended by the 3-vector and the z-axis.
double theta () const
 Synonym for polarAngle.
double pseudorapidity () const
 Pseudorapidity (defined purely by the 3-vector components).
double eta () const
 Synonym for pseudorapidity.
Vector3 vector3 () const
 Get the spatial part of the 4-vector as a 3-vector.
double contract (const FourVector &v) const
 Contract two 4-vectors, with metric signature (+ - - -).
double dot (const FourVector &v) const
 Contract two 4-vectors, with metric signature (+ - - -).
double operator* (const FourVector &v) const
 Contract two 4-vectors, with metric signature (+ - - -).
FourVector & operator+= (const FourVector &v)
FourVector & operator-= (const FourVector &v)
const double & get (const size_t index) const
const double & operator[] (const size_t index) const
 Direct access to vector elements by index.
double & operator[] (const size_t index)
 Direct access to vector elements by index.
Vector< N > & set (const size_t index, const double value)
 Set indexed value.
size_t size () const
 Vector dimensionality.
bool isZero (double tolerance=1E-5) const
 Check for nullness, allowing for numerical precision.
double mod2 () const
 Calculate the modulus-squared of a vector. $ \sum_{i=1}^N x_i^2 $.
double mod () const
 Calculate the modulus of a vector. $ \sqrt{\sum_{i=1}^N x_i^2} $.
bool operator== (const Vector< N > &a) const
bool operator!= (const Vector< N > &a) const
bool operator< (const Vector< N > &a) const
bool operator<= (const Vector< N > &a) const
bool operator> (const Vector< N > &a) const
bool operator>= (const Vector< N > &a) const

Protected Member Functions

double & get (const size_t index)

Protected Attributes

Eigen::Vector< double, N > _vec
 Vector.

Friends

FourMomentum multiply (const double a, const FourMomentum &v)
FourMomentum multiply (const FourMomentum &v, const double a)
FourMomentum add (const FourMomentum &a, const FourMomentum &b)
FourMomentum transform (const LorentzTransform &lt, const FourMomentum &v4)

Detailed Description

Specialized version of the FourVector with momentum/energy functionality.

Definition at line 321 of file Vector4.hh.

Constructor & Destructor Documentation

FourMomentum (  )  [inline]

Definition at line 328 of file Vector4.hh.

00328 { }

FourMomentum ( const V4 &  other  )  [inline]

Definition at line 331 of file Vector4.hh.

References FourMomentum::setE(), FourMomentum::setPx(), FourMomentum::setPy(), and FourMomentum::setPz().

00331                                   {
00332       this->setE(other.t());
00333       this->setPx(other.x());
00334       this->setPy(other.y());
00335       this->setPz(other.z());
00336     }

FourMomentum ( const Vector< 4 > &  other  )  [inline]

Definition at line 338 of file Vector4.hh.

00339       : FourVector(other) { }

FourMomentum ( const double  E,
const double  px,
const double  py,
const double  pz 
) [inline]

Definition at line 341 of file Vector4.hh.

References FourMomentum::setE(), FourMomentum::setPx(), FourMomentum::setPy(), and FourMomentum::setPz().

00341                                                                                     {
00342       this->setE(E);
00343       this->setPx(px);
00344       this->setPy(py);
00345       this->setPz(pz);
00346     }

~FourMomentum (  )  [inline]

Definition at line 348 of file Vector4.hh.

00348 {}

Member Function Documentation

double angle ( const Vector3 &  v3  )  const [inline, inherited]

Angle between this vector and another (3-vector).

Definition at line 72 of file Vector4.hh.

References Vector3::angle(), and FourVector::vector3().

00072                                           {
00073       return vector3().angle(v3);
00074     }

double angle ( const FourVector &  v  )  const [inline, inherited]

Angle between this vector and another.

Definition at line 67 of file Vector4.hh.

References Vector3::angle(), and FourVector::vector3().

Referenced by D0_1996_S3214044::_fourJetAnalysis(), H1_2000_S4129130::analyze(), H1_1994_S2919893::analyze(), Rivet::angle(), and MC_VH2BB::boostAngles().

00067                                             {
00068       return vector3().angle( v.vector3() );
00069     }

double azimuthalAngle ( const PhiMapping  mapping = ZERO_2PI  )  const [inline, inherited]

Angle subtended by the 3-vector's projection in x-y and the x-axis.

Definition at line 109 of file Vector4.hh.

References Vector3::azimuthalAngle(), and FourVector::vector3().

Referenced by Jet::_calcPtAvgs(), CDF_2004_S5839831::_calcTransCones(), MC_LEADINGJETS::analyze(), MC_DIJET::analyze(), H1_1994_S2919893::analyze(), D0_2008_S7719523::analyze(), D0_2006_S6438750::analyze(), CDF_2008_S8095620::analyze(), CDF_2008_S7540469::analyze(), CDF_2006_S6653332::analyze(), CDF_2004_S5839831::analyze(), Rivet::azimuthalAngle(), Rivet::deltaR(), DISKinematics::project(), and ClusteredPhotons::project().

00109                                                                      {
00110       return vector3().azimuthalAngle(mapping);
00111     }

Vector3 boostVector (  )  const [inline]

Calculate the boost vector (in units of $ \beta $).

Todo:
Be careful about c=1 convention...

Definition at line 429 of file Vector4.hh.

References FourMomentum::E(), FourMomentum::px(), FourMomentum::py(), and FourMomentum::pz().

Referenced by CDF_1997_S3541940::_avg_beam_in_lab(), CDF_1996_S3349578::_avg_beam_in_lab(), CDF_1996_S3349578::_fiveJetAnalysis(), D0_1996_S3214044::_fourJetAnalysis(), CDF_1996_S3349578::_fourJetAnalysis(), D0_1996_S3214044::_threeJetAnalysis(), CDF_1996_S3349578::_threeJetAnalysis(), CDF_1997_S3541940::analyze(), CDF_1996_S3108457::analyze(), BELLE_2006_S6265367::analyze(), MC_VH2BB::boostAngles(), Rivet::boostVector(), and DISKinematics::project().

00429                                 {
00430       // const Vector3 p3 = vector3();
00431       // const double m2 = mass2();
00432       // if (Rivet::isZero(m2)) return p3.unit();
00433       // else {
00434       //   // Could also do this via beta = tanh(rapidity), but that's
00435       //   // probably more messy from a numerical hygiene point of view.
00436       //   const double p2 = p3.mod2();
00437       //   const double beta = sqrt( p2 / (m2 + p2) );
00438       //   return beta * p3.unit();
00439       // }
00440       /// @todo Be careful about c=1 convention...
00441       return Vector3(px()/E(), py()/E(), pz()/E());
00442     }

double contract ( const FourVector &  v  )  const [inline, inherited]

Contract two 4-vectors, with metric signature (+ - - -).

Definition at line 147 of file Vector4.hh.

References FourVector::t(), FourVector::x(), FourVector::y(), and FourVector::z().

Referenced by Rivet::contract(), FourVector::dot(), and FourVector::operator*().

00147                                                {
00148       const double result = t()*v.t() - x()*v.x() - y()*v.y() - z()*v.z();
00149       return result;
00150     }

double dot ( const FourVector &  v  )  const [inline, inherited]

Contract two 4-vectors, with metric signature (+ - - -).

Definition at line 153 of file Vector4.hh.

References FourVector::contract().

00153                                           {
00154       return contract(v);
00155     }

double E (  )  const [inline]

Get energy $ E $ (time component of momentum).

Definition at line 352 of file Vector4.hh.

References FourVector::t().

Referenced by CDF_1997_S3541940::_avg_beam_in_lab(), CDF_1996_S3349578::_avg_beam_in_lab(), BeamThrust::_calcBeamThrust(), CDF_1996_S3349578::_fiveJetAnalysis(), D0_1996_S3214044::_fourJetAnalysis(), CDF_1996_S3349578::_fourJetAnalysis(), D0_1996_S3214044::_threeJetAnalysis(), CDF_1996_S3349578::_threeJetAnalysis(), OPAL_1998_S3780481::analyze(), OPAL_1993_S2692198::analyze(), MC_PHOTONJETS::analyze(), MC_GENERIC::analyze(), LHCB_2010_S8758301::analyze(), H1_2000_S4129130::analyze(), H1_1994_S2919893::analyze(), DELPHI_1996_S3430090::analyze(), D0_2008_S7719523::analyze(), D0_2006_S6438750::analyze(), CDF_1997_S3541940::analyze(), ATLAS_2011_S9041966::analyze(), ATLAS_2011_S9019561::analyze(), ALEPH_2004_S5765862::analyze(), ALEPH_1996_S3486095::analyze(), ALEPH_1996_S3196992::analyze(), FourMomentum::boostVector(), FastJets::calc(), Rivet::cmpJetsByAscE(), Rivet::cmpJetsByE(), Rivet::cmpMomByAscE(), Rivet::cmpMomByE(), Rivet::cmpParticleByAscE(), Rivet::cmpParticleByE(), Particle::energy(), FourMomentum::Et(), Jet::hadronicEnergy(), Jet::neutralEnergy(), byEAscending::operator()(), ALEPH_1996_S3196992::particleInJet(), Hemispheres::project(), FourMomentum::rapidity(), Rivet::sqrtS(), and Jet::totalEnergy().

00352 { return t(); }

double Et (  )  const [inline]

Calculate the transverse energy $ E_T = E \sin{\theta} $.

Definition at line 424 of file Vector4.hh.

References FourMomentum::E(), and FourVector::polarAngle().

Referenced by CDF_1996_S3349578::_fiveJetAnalysis(), CDF_1996_S3349578::_fourJetAnalysis(), CDF_1996_S3349578::_threeJetAnalysis(), MC_WJETS::analyze(), MC_GENERIC::analyze(), MC_DIPHOTON::analyze(), D0_2010_S8570965::analyze(), D0_2008_S7837160::analyze(), D0_1996_S3324664::analyze(), CDF_2009_S8436959::analyze(), CDF_2009_S8233977::analyze(), CDF_2008_S7541902::analyze(), CDF_2008_LEADINGJETS::analyze(), CDF_2005_S6080774::analyze(), CDF_2001_S4563131::analyze(), CDF_2001_S4517016::analyze(), CDF_1998_S3618439::analyze(), CDF_1997_S3541940::analyze(), CDF_1996_S3349578::analyze(), CDF_1996_S3108457::analyze(), CDF_1993_S2742446::analyze(), ATLAS_2011_S9120807::analyze(), ATLAS_2011_S9019561::analyze(), ATLAS_2010_S8919674::analyze(), ATLAS_2010_S8914702::analyze(), Rivet::cmpMomByAscEt(), Rivet::cmpMomByEt(), Rivet::cmpParticleByAscEt(), Rivet::cmpParticleByEt(), Rivet::Et(), FourMomentum::Et2(), Jet::EtSum(), TotalVisibleMomentum::project(), NeutralFinalState::project(), MissingMomentum::project(), and CentralEtHCM::project().

00424                       {
00425       return E() * sin(polarAngle());
00426     }

double Et2 (  )  const [inline]

Calculate the transverse energy $ E_T^2 = E^2 \sin^2{\theta} $.

Definition at line 419 of file Vector4.hh.

References FourMomentum::Et().

Referenced by Rivet::Et2(), and byETAscending::operator()().

00419                        {
00420       return Et() * Et();
00421     }

double eta (  )  const [inline, inherited]

Synonym for pseudorapidity.

Definition at line 134 of file Vector4.hh.

References Vector3::eta(), and FourVector::vector3().

Referenced by FinalState::accept(), UA1_1990_S2044935::analyze(), STAR_2009_UE_HELEN::analyze(), STAR_2008_S7993412::analyze(), MC_ZZJETS::analyze(), MC_ZJETS::analyze(), MC_WWJETS::analyze(), MC_WJETS::analyze(), MC_VH2BB::analyze(), MC_SUSY::analyze(), MC_PHOTONJETUE::analyze(), MC_PHOTONJETS::analyze(), MC_HJETS::analyze(), MC_GENERIC::analyze(), MC_DIPHOTON::analyze(), D0_2010_S8821313::analyze(), D0_2010_S8570965::analyze(), D0_2008_S7837160::analyze(), D0_2008_S7719523::analyze(), D0_2008_S6879055::analyze(), D0_1996_S3324664::analyze(), D0_1996_S3214044::analyze(), CMS_2011_S9120041::analyze(), CMS_2011_S9088458::analyze(), CMS_2011_S8957746::analyze(), CMS_2011_S8884919::analyze(), CMS_2010_S8656010::analyze(), CMS_2010_S8547297::analyze(), CDF_2010_S8591881_DY::analyze(), CDF_2009_S8436959::analyze(), CDF_2008_S7541902::analyze(), CDF_2008_NOTE_9351::analyze(), CDF_2005_S6080774::analyze(), CDF_2004_S5839831::analyze(), CDF_2001_S4563131::analyze(), CDF_2001_S4517016::analyze(), CDF_2000_S4266730::analyze(), CDF_1997_S3541940::analyze(), CDF_1996_S3418421::analyze(), CDF_1994_S2952106::analyze(), CDF_1993_S2742446::analyze(), ATLAS_2011_S9225137::analyze(), ATLAS_2011_S9212183::analyze(), ATLAS_2011_S9128077::analyze(), ATLAS_2011_S9120807::analyze(), ATLAS_2011_S9041966::analyze(), ATLAS_2011_S9019561::analyze(), ATLAS_2011_S9002537::analyze(), ATLAS_2011_S8994773::analyze(), ATLAS_2011_S8983313::analyze(), ATLAS_2011_CONF_2011_098::analyze(), ATLAS_2011_CONF_2011_090::analyze(), ATLAS_2010_S8914702::analyze(), ATLAS_2010_S8894728::analyze(), ATLAS_2010_S8591806::analyze(), ATLAS_2010_CONF_2010_049::analyze(), JetShape::calc(), Rivet::eta(), Jet::eta(), ATLAS_2010_S8918562::fillPtEtaNch(), JetAlg::jets(), and NeutralFinalState::project().

00134                        {
00135       return vector3().eta();
00136     }

double& get ( const size_t  index  )  [inline, protected, inherited]

Definition at line 126 of file VectorN.hh.

References Vector< N >::_vec.

00126                                     {
00127       if (index >= N) {
00128         throw std::runtime_error("Tried to access an invalid vector index.");
00129       } else {
00130         return _vec(index);
00131       }
00132     }

const double& get ( const size_t  index  )  const [inline, inherited]

Definition at line 33 of file VectorN.hh.

References Vector< N >::_vec.

00033                                                 {
00034       if (index >= N) {
00035         throw std::runtime_error("Tried to access an invalid vector index.");
00036       } else {
00037         return _vec(index);
00038       }
00039     }

double invariant (  )  const [inline, inherited]

Definition at line 61 of file Vector4.hh.

References FourVector::t(), FourVector::x(), FourVector::y(), and FourVector::z().

Referenced by D0_2001_S4674421::analyze(), Rivet::invariant(), and FourMomentum::mass2().

00061                              {
00062       // Done this way for numerical precision
00063       return (t() + z())*(t() - z()) - x()*x() - y()*y();
00064     }

bool isZero ( double  tolerance = 1E-5  )  const [inline, inherited]

Check for nullness, allowing for numerical precision.

Definition at line 67 of file VectorN.hh.

References Vector< N >::_vec, and Rivet::isZero().

00067                                              {
00068       for (size_t i=0; i < N; ++i) {
00069         if (! Rivet::isZero(_vec[i], tolerance) ) return false;
00070       }
00071       return true;
00072     }

double mass (  )  const [inline]

Get the mass $ m = \sqrt{E^2 - p^2} $ (the Lorentz self-invariant).

Definition at line 379 of file Vector4.hh.

References Rivet::isZero(), and FourMomentum::mass2().

Referenced by OPAL_1993_S2692198::analyze(), MC_VH2BB::analyze(), MC_TTBAR::analyze(), MC_DIPHOTON::analyze(), D0_2010_S8570965::analyze(), CDF_2010_S8591881_DY::analyze(), CDF_2008_NOTE_9351::analyze(), CDF_2005_S6080774::analyze(), CDF_2000_S4155203::analyze(), CDF_1996_S3108457::analyze(), ATLAS_2011_S9120807::analyze(), InvMassFinalState::calc(), Rivet::mass(), Particle::mass(), and FourMomentum::massT().

00379                         {
00380       assert(Rivet::isZero(mass2()) || mass2() > 0);
00381       if (Rivet::isZero(mass2())) {
00382         return 0.0;
00383       } else {
00384         return sqrt(mass2());
00385       }
00386     }

double mass2 (  )  const [inline]

Get the squared mass $ m^2 = E^2 - p^2 $ (the Lorentz self-invariant).

Definition at line 394 of file Vector4.hh.

References FourVector::invariant().

Referenced by D0_1996_S3214044::_safeMass(), CDF_1997_S3541940::_safeMass(), CDF_1996_S3349578::_safeMass(), CDF_2000_S4155203::analyze(), InvMassFinalState::calc(), FourMomentum::mass(), Rivet::mass2(), Hemispheres::project(), and DISKinematics::project().

00394                          {
00395       return invariant();
00396     }

double massT (  )  const [inline]

Calculate the transverse mass $ m_T = m \sin{\theta} $.

Definition at line 389 of file Vector4.hh.

References FourMomentum::mass(), and FourVector::polarAngle().

Referenced by InvMassFinalState::calc(), Rivet::massT(), and FourMomentum::massT2().

00389                          {
00390       return mass() * sin(polarAngle());
00391     }

double massT2 (  )  const [inline]

Calculate the squared transverse mass $ m_T^2 = m^2 \sin^2{\theta} $.

Definition at line 399 of file Vector4.hh.

References FourMomentum::massT().

Referenced by Rivet::massT2().

00399                           {
00400       return massT() * massT();
00401     }

double mod (  )  const [inline, inherited]

Calculate the modulus of a vector. $ \sqrt{\sum_{i=1}^N x_i^2} $.

Definition at line 87 of file VectorN.hh.

References Vector< N >::mod2().

00087                        {
00088       const double norm = mod2();
00089       assert(norm >= 0);
00090       return sqrt(norm);
00091     }

double mod2 (  )  const [inline, inherited]

Calculate the modulus-squared of a vector. $ \sum_{i=1}^N x_i^2 $.

Definition at line 76 of file VectorN.hh.

References Vector< N >::mod2(), and Vector< N >::size().

00076                         {
00077       double mod2 = 0.0;
00078       for (size_t i = 0; i < size(); ++i) {
00079         const double element = get(i);
00080         mod2 += element*element;
00081       }
00082       return mod2;
00083     }

bool operator!= ( const Vector< N > &  a  )  const [inline, inherited]

Definition at line 104 of file VectorN.hh.

References Vector< N >::_vec.

00104                                               {
00105       return _vec != a._vec;
00106     }

double operator* ( const FourVector &  v  )  const [inline, inherited]

Contract two 4-vectors, with metric signature (+ - - -).

Definition at line 158 of file Vector4.hh.

References FourVector::contract().

00158                                                 {
00159       return contract(v);
00160     }

FourMomentum& operator*= ( double  a  )  [inline]

Multiply by a scalar.

Reimplemented from FourVector.

Definition at line 470 of file Vector4.hh.

References Vector< N >::_vec, Vector< 4 >::_vec, and FourMomentum::multiply.

00470                                        {
00471       _vec = multiply(a, *this)._vec;
00472       return *this;
00473     }

FourVector& operator+= ( const FourVector &  v  )  [inline, inherited]

Definition at line 174 of file Vector4.hh.

References Vector< N >::_vec, Vector< 4 >::_vec, and FourVector::add.

00174                                                 {
00175       _vec = add(*this, v)._vec;
00176       return *this;
00177     }

FourMomentum& operator+= ( const FourMomentum &  v  )  [inline]

Definition at line 481 of file Vector4.hh.

References Vector< N >::_vec, Vector< 4 >::_vec, and FourMomentum::add.

00481                                                     {
00482       _vec = add(*this, v)._vec;
00483       return *this;
00484     }

FourMomentum operator- (  )  const [inline]

Invert the vector.

Reimplemented from FourVector.

Definition at line 491 of file Vector4.hh.

References Vector< 4 >::_vec, and Vector< N >::_vec.

00491                                    {
00492       FourMomentum result;
00493       result._vec = -_vec;
00494       return result;
00495     }

FourVector& operator-= ( const FourVector &  v  )  [inline, inherited]

Definition at line 179 of file Vector4.hh.

References Vector< N >::_vec, Vector< 4 >::_vec, and FourVector::add.

00179                                                 {
00180       _vec = add(*this, -v)._vec;
00181       return *this;
00182     }

FourMomentum& operator-= ( const FourMomentum &  v  )  [inline]

Definition at line 486 of file Vector4.hh.

References Vector< N >::_vec, Vector< 4 >::_vec, and FourMomentum::add.

00486                                                     {
00487       _vec = add(*this, -v)._vec;
00488       return *this;
00489     }

FourMomentum& operator/= ( double  a  )  [inline]

Divide by a scalar.

Reimplemented from FourVector.

Definition at line 476 of file Vector4.hh.

References Vector< N >::_vec, Vector< 4 >::_vec, and FourMomentum::multiply.

00476                                        {
00477       _vec = multiply(1.0/a, *this)._vec;
00478       return *this;
00479     }

bool operator< ( const Vector< N > &  a  )  const [inline, inherited]

Definition at line 108 of file VectorN.hh.

References Vector< N >::_vec.

00108                                              {
00109       return _vec < a._vec;
00110     }

bool operator<= ( const Vector< N > &  a  )  const [inline, inherited]

Definition at line 112 of file VectorN.hh.

References Vector< N >::_vec.

00112                                               {
00113       return _vec <= a._vec;
00114     }

bool operator== ( const Vector< N > &  a  )  const [inline, inherited]

Definition at line 100 of file VectorN.hh.

References Vector< N >::_vec.

00100                                               {
00101       return _vec == a._vec;
00102     }

bool operator> ( const Vector< N > &  a  )  const [inline, inherited]

Definition at line 116 of file VectorN.hh.

References Vector< N >::_vec.

00116                                              {
00117       return _vec > a._vec;
00118     }

bool operator>= ( const Vector< N > &  a  )  const [inline, inherited]

Definition at line 120 of file VectorN.hh.

References Vector< N >::_vec.

00120                                               {
00121       return _vec >= a._vec;
00122     }

double& operator[] ( const size_t  index  )  [inline, inherited]

Direct access to vector elements by index.

Definition at line 47 of file VectorN.hh.

00047                                            {
00048       return get(index);
00049     }

const double& operator[] ( const size_t  index  )  const [inline, inherited]

Direct access to vector elements by index.

Definition at line 42 of file VectorN.hh.

00042                                                        {
00043       return get(index);
00044     }

Vector3 p (  )  const [inline]

Get 3-momentum part, $ p $.

Definition at line 355 of file Vector4.hh.

References FourVector::vector3().

Referenced by ATLAS_2010_CONF_2010_049::analyze().

00355 { return vector3(); }

double perp (  )  const [inline, inherited]

Synonym for polarRadius.

Definition at line 99 of file Vector4.hh.

References Vector3::perp(), and FourVector::vector3().

Referenced by CMS_2011_S9120041::analyze(), ATLAS_2011_S9108483::analyze(), ATLAS_2011_S8994773::analyze(), ATLAS_2010_S8894728::analyze(), and Rivet::perp().

00099                         {
00100       return vector3().perp();
00101     }

double perp2 (  )  const [inline, inherited]

Synonym for polarRadius2.

Definition at line 84 of file Vector4.hh.

References Vector3::perp2(), and FourVector::vector3().

Referenced by ATLAS_2011_S9108483::analyze(), and Rivet::perp2().

00084                          {
00085       return vector3().perp2();
00086     }

double phi ( const PhiMapping  mapping = ZERO_2PI  )  const [inline, inherited]

Synonym for azimuthalAngle.

Definition at line 114 of file Vector4.hh.

References Vector3::phi(), and FourVector::vector3().

Referenced by STAR_2009_UE_HELEN::analyze(), STAR_2008_S7993412::analyze(), MC_ZZJETS::analyze(), MC_WWJETS::analyze(), MC_VH2BB::analyze(), MC_SUSY::analyze(), MC_PHOTONJETUE::analyze(), MC_PHOTONJETS::analyze(), MC_LEADINGJETS::analyze(), MC_GENERIC::analyze(), MC_DIPHOTON::analyze(), D0_2010_S8821313::analyze(), D0_2010_S8570965::analyze(), D0_2009_S8349509::analyze(), D0_2008_S7719523::analyze(), D0_2008_S6879055::analyze(), D0_1996_S3324664::analyze(), CMS_2011_S9120041::analyze(), CDF_2010_S8591881_QCD::analyze(), CDF_2009_S8436959::analyze(), CDF_2008_LEADINGJETS::analyze(), CDF_2005_S6080774::analyze(), CDF_2001_S4751469::analyze(), CDF_1994_S2952106::analyze(), CDF_1993_S2742446::analyze(), ATLAS_2011_S9212183::analyze(), ATLAS_2011_S9120807::analyze(), ATLAS_2011_S9041966::analyze(), ATLAS_2011_S9002537::analyze(), ATLAS_2011_S8994773::analyze(), ATLAS_2011_S8983313::analyze(), ATLAS_2011_CONF_2011_098::analyze(), ATLAS_2011_CONF_2011_090::analyze(), ATLAS_2010_S8919674::analyze(), ATLAS_2010_S8914702::analyze(), ATLAS_2010_S8894728::analyze(), ATLAS_2011_I925932::calcMT(), Rivet::phi(), and Jet::phi().

00114                                                           {
00115       return vector3().phi(mapping);
00116     }

double polarAngle (  )  const [inline, inherited]

Angle subtended by the 3-vector and the z-axis.

Definition at line 119 of file Vector4.hh.

References Vector3::polarAngle(), and FourVector::vector3().

Referenced by H1_1994_S2919893::beamAngle(), FourMomentum::Et(), FourMomentum::massT(), Rivet::polarAngle(), and DISKinematics::project().

00119                               {
00120       return vector3().polarAngle();
00121     }

double polarRadius (  )  const [inline, inherited]

Projection of 3-vector on to the $ x-y $ plane.

Definition at line 94 of file Vector4.hh.

References Vector3::polarRadius(), and FourVector::vector3().

Referenced by Rivet::polarRadius().

00094                                {
00095       return vector3().polarRadius();
00096     }

double polarRadius2 (  )  const [inline, inherited]

Square of the projection of the 3-vector on to the $ x-y $ plane This is a more efficient function than polarRadius, as it avoids the square root. Use it if you only need the squared value, or e.g. an ordering by magnitude.

Definition at line 79 of file Vector4.hh.

References Vector3::polarRadius2(), and FourVector::vector3().

Referenced by Rivet::polarRadius2().

00079                                 {
00080       return vector3().polarRadius2();
00081     }

double pseudorapidity (  )  const [inline, inherited]

Pseudorapidity (defined purely by the 3-vector components).

Definition at line 129 of file Vector4.hh.

References Vector3::pseudorapidity(), and FourVector::vector3().

Referenced by Jet::_calcPtAvgs(), CDF_2004_S5839831::_calcTransCones(), UA5_1986_S1583476::analyze(), UA5_1982_S875503::analyze(), SFM_1984_S1178091::analyze(), MC_DIJET::analyze(), H1_2000_S4129130::analyze(), H1_1994_S2919893::analyze(), D0_2009_S8349509::analyze(), D0_2009_S8202443::analyze(), D0_2008_S7863608::analyze(), D0_2008_S7719523::analyze(), D0_2006_S6438750::analyze(), CDF_2008_S7540469::analyze(), CDF_2004_S5839831::analyze(), CDF_1990_S2089246::analyze(), ALICE_2010_S8625980::analyze(), Rivet::cmpJetsByAscAbsPseudorapidity(), Rivet::cmpJetsByAscPseudorapidity(), Rivet::cmpJetsByDescAbsPseudorapidity(), Rivet::cmpJetsByDescPseudorapidity(), Rivet::cmpMomByAscAbsPseudorapidity(), Rivet::cmpMomByAscPseudorapidity(), Rivet::cmpMomByDescAbsPseudorapidity(), Rivet::cmpMomByDescPseudorapidity(), Rivet::cmpParticleByAscAbsPseudorapidity(), Rivet::cmpParticleByAscPseudorapidity(), Rivet::cmpParticleByDescAbsPseudorapidity(), Rivet::cmpParticleByDescPseudorapidity(), TriggerUA5::project(), TriggerCDFRun2::project(), TriggerCDFRun0Run1::project(), SVertex::project(), ClusteredPhotons::project(), and Rivet::pseudorapidity().

00129                                   {
00130       return vector3().pseudorapidity();
00131     }

double pT (  )  const [inline]

Calculate the transverse momentum $ p_T $.

Definition at line 414 of file Vector4.hh.

References FourMomentum::pT2().

Referenced by SVertex::_applyVtxTrackCuts(), Jet::_calcPtAvgs(), CDF_2004_S5839831::_calcTransCones(), FinalState::accept(), ZEUS_2001_S4815815::analyze(), UA1_1990_S2044935::analyze(), STAR_2009_UE_HELEN::analyze(), STAR_2008_S7993412::analyze(), STAR_2008_S7869363::analyze(), STAR_2006_S6870392::analyze(), STAR_2006_S6860818::analyze(), STAR_2006_S6500200::analyze(), MC_ZZJETS::analyze(), MC_ZJETS::analyze(), MC_WWJETS::analyze(), MC_WJETS::analyze(), MC_VH2BB::analyze(), MC_TTBAR::analyze(), MC_SUSY::analyze(), MC_PHOTONJETUE::analyze(), MC_PHOTONJETS::analyze(), MC_LEADINGJETS::analyze(), MC_JetAnalysis::analyze(), MC_HJETS::analyze(), MC_GENERIC::analyze(), MC_DIPHOTON::analyze(), MC_DIJET::analyze(), D0_2010_S8570965::analyze(), D0_2009_S8349509::analyze(), D0_2008_S7863608::analyze(), D0_2008_S7719523::analyze(), D0_2008_S7662670::analyze(), D0_2007_S7075677::analyze(), D0_2006_S6438750::analyze(), D0_2001_S4674421::analyze(), CMS_2011_S9088458::analyze(), CMS_2011_S9086218::analyze(), CMS_2011_S8978280::analyze(), CMS_2011_S8884919::analyze(), CMS_2010_S8656010::analyze(), CMS_2010_S8547297::analyze(), CDF_2010_S8591881_QCD::analyze(), CDF_2010_S8591881_DY::analyze(), CDF_2009_S8233977::analyze(), CDF_2008_S8095620::analyze(), CDF_2008_S7828950::analyze(), CDF_2008_S7782535::analyze(), CDF_2008_S7541902::analyze(), CDF_2008_S7540469::analyze(), CDF_2008_NOTE_9351::analyze(), CDF_2008_LEADINGJETS::analyze(), CDF_2007_S7057202::analyze(), CDF_2006_S6450792::analyze(), CDF_2005_S6080774::analyze(), CDF_2004_S5839831::analyze(), CDF_2001_S4751469::analyze(), CDF_2000_S4155203::analyze(), CDF_1996_S3108457::analyze(), CDF_1994_S2952106::analyze(), CDF_1988_S1865951::analyze(), ATLAS_2011_S9225137::analyze(), ATLAS_2011_S9212183::analyze(), ATLAS_2011_S9131140::analyze(), ATLAS_2011_S9120807::analyze(), ATLAS_2011_S9041966::analyze(), ATLAS_2011_S9019561::analyze(), ATLAS_2011_S9002537::analyze(), ATLAS_2011_S8994773::analyze(), ATLAS_2011_S8983313::analyze(), ATLAS_2011_I925932::analyze(), ATLAS_2011_I919017::analyze(), ATLAS_2011_CONF_2011_098::analyze(), ATLAS_2011_CONF_2011_090::analyze(), ATLAS_2010_S8919674::analyze(), ATLAS_2010_S8894728::analyze(), ATLAS_2010_S8817804::analyze(), ATLAS_2010_S8591806::analyze(), ATLAS_2010_CONF_2010_049::analyze(), ALICE_2011_S8945144::analyze(), ALICE_2011_S8909580::analyze(), ALICE_2010_S8706239::analyze(), JetShape::calc(), ATLAS_2011_I925932::calcMT(), Rivet::cmpMomByAscPt(), Rivet::cmpMomByPt(), Rivet::cmpParticleByAscPt(), Rivet::cmpParticleByPt(), ATLAS_2010_S8918562::fillPtEtaNch(), JetAlg::jets(), STARRandomFilter::operator()(), VetoedFinalState::project(), Rivet::pT(), and Jet::ptSum().

00414                       {
00415       return sqrt(pT2());
00416     }

double pT2 (  )  const [inline]

Calculate the squared transverse momentum $ p_T^2 $.

Definition at line 409 of file Vector4.hh.

References Vector3::polarRadius2(), and FourVector::vector3().

Referenced by byPTAscending::operator()(), FourMomentum::pT(), and Rivet::pT2().

00409                        {
00410       return vector3().polarRadius2();
00411     }

double px (  )  const [inline]

Get x-component of momentum $ p_x $.

Definition at line 358 of file Vector4.hh.

References FourVector::x().

Referenced by OPAL_1993_S2692198::analyze(), LHCB_2010_S8758301::analyze(), CDF_2008_S7541902::analyze(), FourMomentum::boostVector(), FastJets::calc(), Rivet::get2dDecayLength(), Rivet::get3dDecayLength(), and DISKinematics::project().

00358 { return x(); }

double py (  )  const [inline]

Get y-component of momentum $ p_y $.

Definition at line 361 of file Vector4.hh.

References FourVector::y().

Referenced by OPAL_1993_S2692198::analyze(), LHCB_2010_S8758301::analyze(), CDF_2008_S7541902::analyze(), FourMomentum::boostVector(), FastJets::calc(), Rivet::get2dDecayLength(), and Rivet::get3dDecayLength().

00361 { return y(); }

double pz (  )  const [inline]

Get z-component of momentum $ p_z $.

Definition at line 364 of file Vector4.hh.

References FourVector::z().

Referenced by SFM_1984_S1178091::analyze(), OPAL_1993_S2692198::analyze(), LHCB_2010_S8758301::analyze(), FourMomentum::boostVector(), FastJets::calc(), Rivet::get3dDecayLength(), DISLepton::project(), FourMomentum::rapidity(), and Rivet::sqrtS().

00364 { return z(); }

double rapidity (  )  const [inline]

Calculate the rapidity.

Definition at line 404 of file Vector4.hh.

References FourMomentum::E(), and FourMomentum::pz().

Referenced by CDF_1996_S3349578::_fiveJetAnalysis(), CDF_1996_S3349578::_fourJetAnalysis(), CDF_1996_S3349578::_threeJetAnalysis(), STAR_2008_S7869363::analyze(), STAR_2006_S6860818::analyze(), STAR_2006_S6500200::analyze(), MC_PHOTONJETS::analyze(), MC_GENERIC::analyze(), D0_2010_S8821313::analyze(), D0_2010_S8566488::analyze(), D0_2009_S8349509::analyze(), D0_2009_S8320160::analyze(), D0_2008_S7863608::analyze(), D0_2008_S7719523::analyze(), D0_2008_S7662670::analyze(), CMS_2011_S9086218::analyze(), CMS_2011_S8978280::analyze(), CMS_2011_S8968497::analyze(), CDF_2008_S8095620::analyze(), CDF_2008_S8093652::analyze(), CDF_2008_S7828950::analyze(), CDF_2008_S7541902::analyze(), CDF_2007_S7057202::analyze(), CDF_2006_S6653332::analyze(), CDF_2006_S6450792::analyze(), CDF_1997_S3541940::analyze(), ATLAS_2011_S9126244::analyze(), ATLAS_2011_S8971293::analyze(), ATLAS_2011_I919017::analyze(), ATLAS_2010_S8817804::analyze(), ALICE_2011_S8945144::analyze(), ALICE_2011_S8909580::analyze(), JetShape::calc(), Rivet::cmpJetsByAscAbsRapidity(), Rivet::cmpJetsByAscRapidity(), Rivet::cmpJetsByDescAbsRapidity(), Rivet::cmpJetsByDescRapidity(), Rivet::cmpMomByAscAbsRapidity(), Rivet::cmpMomByAscRapidity(), Rivet::cmpMomByDescAbsRapidity(), Rivet::cmpMomByDescRapidity(), Rivet::cmpParticleByAscAbsRapidity(), Rivet::cmpParticleByAscRapidity(), Rivet::cmpParticleByDescAbsRapidity(), Rivet::cmpParticleByDescRapidity(), Rivet::deltaR(), JetAlg::jets(), CentralEtHCM::project(), and Rivet::rapidity().

00404                             {
00405       return 0.5 * std::log( (E() + pz()) / (E() - pz()) );
00406     }

double rho (  )  const [inline, inherited]

Synonym for polarRadius.

Definition at line 104 of file Vector4.hh.

References Vector3::rho(), and FourVector::vector3().

Referenced by Rivet::rho().

00104                        {
00105       return vector3().rho();
00106     }

double rho2 (  )  const [inline, inherited]

Synonym for polarRadius2.

Definition at line 89 of file Vector4.hh.

References Vector3::rho2(), and FourVector::vector3().

Referenced by Rivet::rho2().

00089                         {
00090       return vector3().rho2();
00091     }

Vector<N>& set ( const size_t  index,
const double  value 
) [inline, inherited]

Set indexed value.

Definition at line 52 of file VectorN.hh.

References Vector< N >::_vec.

00052                                                            {
00053       if (index >= N) {
00054         throw std::runtime_error("Tried to access an invalid vector index.");
00055       } else {
00056         _vec[index] = value;
00057       }
00058       return *this;
00059     }

FourMomentum& setE ( double  E  )  [inline]

Set energy $ E $ (time component of momentum).

Definition at line 367 of file Vector4.hh.

References FourVector::setT().

Referenced by FourMomentum::FourMomentum().

00367 { setT(E); return *this; }

FourMomentum& setPx ( double  px  )  [inline]

Set x-component of momentum $ p_x $.

Definition at line 370 of file Vector4.hh.

References FourVector::setX().

Referenced by FourMomentum::FourMomentum().

00370 { setX(px); return *this; }

FourMomentum& setPy ( double  py  )  [inline]

Set y-component of momentum $ p_y $.

Definition at line 373 of file Vector4.hh.

References FourVector::setY().

Referenced by FourMomentum::FourMomentum().

00373 { setY(py); return *this; }

FourMomentum& setPz ( double  pz  )  [inline]

Set z-component of momentum $ p_z $.

Definition at line 376 of file Vector4.hh.

References FourVector::setZ().

Referenced by FourMomentum::FourMomentum().

00376 { setZ(pz); return *this; }

FourVector& setT ( const double  t  )  [inline, inherited]

Definition at line 56 of file Vector4.hh.

Referenced by FourVector::FourVector(), and FourMomentum::setE().

00056 { set(0, t); return *this; }

FourVector& setX ( const double  x  )  [inline, inherited]

Definition at line 57 of file Vector4.hh.

Referenced by FourVector::FourVector(), and FourMomentum::setPx().

00057 { set(1, x); return *this; }

FourVector& setY ( const double  y  )  [inline, inherited]

Definition at line 58 of file Vector4.hh.

Referenced by FourVector::FourVector(), and FourMomentum::setPy().

00058 { set(2, y); return *this; }

FourVector& setZ ( const double  z  )  [inline, inherited]

Definition at line 59 of file Vector4.hh.

Referenced by FourVector::FourVector(), and FourMomentum::setPz().

00059 { set(3, z); return *this; }

size_t size (  )  const [inline, inherited]

Vector dimensionality.

Definition at line 62 of file VectorN.hh.

00062                         {
00063       return N;
00064     }

double t (  )  const [inline, inherited]

Definition at line 52 of file Vector4.hh.

Referenced by ATLAS_2011_S9108483::analyze(), FourVector::contract(), FourMomentum::E(), FourVector::invariant(), and Rivet::toString().

00052 { return get(0); }

double theta (  )  const [inline, inherited]

Synonym for polarAngle.

Definition at line 124 of file Vector4.hh.

References Vector3::theta(), and FourVector::vector3().

Referenced by D0_1996_S3214044::_fourJetAnalysis(), ALEPH_1996_S3196992::analyze(), and Rivet::theta().

00124                          {
00125       return vector3().theta();
00126     }

Vector3 vector3 (  )  const [inline, inherited]

Get the spatial part of the 4-vector as a 3-vector.

Definition at line 139 of file Vector4.hh.

Referenced by CDF_1996_S3349578::_fiveJetAnalysis(), D0_1996_S3214044::_fourJetAnalysis(), CDF_1996_S3349578::_fourJetAnalysis(), CDF_1997_S3541940::_psi(), CDF_1996_S3349578::_psi(), D0_1996_S3214044::_threeJetAnalysis(), CDF_1996_S3349578::_threeJetAnalysis(), TASSO_1990_S2148048::analyze(), OPAL_1998_S3780481::analyze(), OPAL_1993_S2692198::analyze(), MC_ZZJETS::analyze(), MC_WWJETS::analyze(), DELPHI_1996_S3430090::analyze(), DELPHI_1995_S3137023::analyze(), CMS_2011_S8957746::analyze(), CDF_1997_S3541940::analyze(), ALEPH_2004_S5765862::analyze(), ALEPH_1996_S3486095::analyze(), Rivet::angle(), FourVector::angle(), FourVector::azimuthalAngle(), Thrust::calc(), Spherocity::calc(), Sphericity::calc(), FParameter::calc(), Rivet::cmpJetsByAscP(), Rivet::cmpJetsByP(), Rivet::cmpMomByAscP(), Rivet::cmpMomByP(), Rivet::cmpParticleByAscP(), Rivet::cmpParticleByP(), Rivet::deltaEta(), Rivet::deltaPhi(), Rivet::deltaR(), FourVector::eta(), FourMomentum::p(), FourVector::perp(), FourVector::perp2(), FourVector::phi(), FourVector::polarAngle(), FourVector::polarRadius(), FourVector::polarRadius2(), MissingMomentum::project(), Hemispheres::project(), FoxWolframMoments::project(), DISKinematics::project(), FourVector::pseudorapidity(), FourMomentum::pT2(), FourVector::rho(), FourVector::rho2(), and FourVector::theta().

00139                             {
00140       return Vector3(get(1), get(2), get(3));
00141     }

double x (  )  const [inline, inherited]

Definition at line 53 of file Vector4.hh.

Referenced by FourVector::contract(), FourVector::invariant(), Rivet::mT2::mT2(), ALEPH_1996_S3196992::particleInJet(), FourMomentum::px(), and Rivet::toString().

00053 { return get(1); }

double y (  )  const [inline, inherited]

Definition at line 54 of file Vector4.hh.

Referenced by FourVector::contract(), FourVector::invariant(), Rivet::mT2::mT2(), ALEPH_1996_S3196992::particleInJet(), FourMomentum::py(), and Rivet::toString().

00054 { return get(2); }

double z (  )  const [inline, inherited]

Definition at line 55 of file Vector4.hh.

Referenced by BeamThrust::_calcBeamThrust(), H1_1994_S2919893::analyze(), ATLAS_2011_S9108483::analyze(), FourVector::contract(), FourVector::invariant(), ALEPH_1996_S3196992::particleInJet(), FourMomentum::pz(), and Rivet::toString().

00055 { return get(3); }

Friends And Related Function Documentation

FourMomentum add ( const FourMomentum &  a,
const FourMomentum &  b 
) [friend]

Definition at line 523 of file Vector4.hh.

Referenced by FourMomentum::operator+=(), and FourMomentum::operator-=().

00523                                                                         {
00524     FourMomentum result;
00525     result._vec = a._vec + b._vec;
00526     return result;
00527   }

FourMomentum multiply ( const FourMomentum &  v,
const double  a 
) [friend]

Definition at line 507 of file Vector4.hh.

00507                                                                       {
00508     return multiply(a, v);
00509   }

FourMomentum multiply ( const double  a,
const FourMomentum &  v 
) [friend]

Definition at line 501 of file Vector4.hh.

Referenced by FourMomentum::operator*=(), and FourMomentum::operator/=().

00501                                                                       {
00502     FourMomentum result;
00503     result._vec = a * v._vec;
00504     return result;
00505   }

FourMomentum transform ( const LorentzTransform &  lt,
const FourMomentum &  v4 
) [friend]

Referenced by CDF_1997_S3541940::_avg_beam_in_lab(), CDF_1996_S3349578::_avg_beam_in_lab(), and MC_VH2BB::boostAngles().

Member Data Documentation

Eigen::Vector<double,N> _vec [protected, inherited]

Vector.

Definition at line 135 of file VectorN.hh.

Referenced by FourMomentum::operator*=(), FourVector::operator*=(), FourMomentum::operator+=(), FourVector::operator+=(), FourMomentum::operator-(), FourVector::operator-(), FourMomentum::operator-=(), FourVector::operator-=(), FourMomentum::operator/=(), and FourVector::operator/=().

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