ThreeVector.icc

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// -*- 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
// Hep3Vector class.
//
 
#include <cmath>
 
namespace CLHEP {
 
// ------------------
// Access to elements
// ------------------
 
// x, y, z
 
inline double & Hep3Vector::operator[] (int i)       { return data[i]; }
inline double   Hep3Vector::operator[] (int i) const { return data[i]; }
 
inline double Hep3Vector::x() const { return (*this)[X]; }
inline double Hep3Vector::y() const { return (*this)[Y]; }
inline double Hep3Vector::z() const { return (*this)[Z]; }
 
inline double Hep3Vector::getX() const { return (*this)[X]; }
inline double Hep3Vector::getY() const { return (*this)[Y]; }
inline double Hep3Vector::getZ() const { return (*this)[Z]; }
 
inline void Hep3Vector::setX(double x) { (*this)[X] = x; }
inline void Hep3Vector::setY(double y) { (*this)[Y] = y; }
inline void Hep3Vector::setZ(double z) { (*this)[Z] = z; }
 
inline void Hep3Vector::set(double x, double y, double z) {
  (*this)[X] = x;
  (*this)[Y] = y;
  (*this)[Z] = z;
}
 
inline double Hep3Vector::operator () (int i) const {
  return data[i];
}
 
inline double & Hep3Vector::operator () (int i) {
  return data[i];
}
 
// --------------
// Global methods
// --------------
 
inline Hep3Vector operator + (const Hep3Vector & a, const Hep3Vector & b) {
  return Hep3Vector(a.x() + b.x(), a.y() + b.y(), a.z() + b.z());
}
 
inline Hep3Vector operator - (const Hep3Vector & a, const Hep3Vector & b) {
  return Hep3Vector(a.x() - b.x(), a.y() - b.y(), a.z() - b.z());
}
 
inline Hep3Vector operator * (const Hep3Vector & p, double a) {
  return Hep3Vector(a*p.x(), a*p.y(), a*p.z());
}
 
inline Hep3Vector operator * (double a, const Hep3Vector & p) {
  return Hep3Vector(a*p.x(), a*p.y(), a*p.z());
}
 
inline double operator * (const Hep3Vector & a, const Hep3Vector & b) {
  return a.dot(b);
}
 
// --------------------------
// Set in various coordinates
// --------------------------
 
inline void Hep3Vector::setRThetaPhi
          ( double r1, double theta1, double phi1 ) {
  setSpherical (r1, theta1, phi1); 
}
 
inline void Hep3Vector::setREtaPhi
          ( double r1, double eta1,  double phi1 ) {
  setSpherical (r1, 2*std::atan(std::exp(-eta1)), phi1); 
}
 
inline void Hep3Vector::setRhoPhiZ
          ( double rho1, double phi1, double z1) {
  setCylindrical (rho1, phi1, z1); 
}
 
// ------------
// Constructors
// ------------
 
inline Hep3Vector::Hep3Vector()
  : data{0.0, 0.0, 0.0} {}
inline Hep3Vector::Hep3Vector(double x)
  : data{ x , 0.0, 0.0} {}
inline Hep3Vector::Hep3Vector(double x, double y)
  : data{ x ,  y , 0.0} {}
inline Hep3Vector::Hep3Vector(double x, double y, double z)
  : data{ x ,  y ,  z } {}
 
inline Hep3Vector::Hep3Vector(const Hep3Vector & p)
  : data{p.x(), p.y(), p.z()} {}
 
inline Hep3Vector::~Hep3Vector() {}
 
inline Hep3Vector & Hep3Vector::operator = (const Hep3Vector & p) {
  set(p.x(), p.y(), p.z());
  return *this;
}
 
// ------------------
// Access to elements
// ------------------
 
// r, theta, phi
 
inline double Hep3Vector::mag2() const { return x()*x() + y()*y() + z()*z(); }
inline double Hep3Vector::mag()  const { return std::sqrt(mag2()); }
inline double Hep3Vector::r()    const { return mag(); }
 
inline double Hep3Vector::theta()   const {
  return x() == 0.0 && y() == 0.0 && z() == 0.0 ? 0.0 : std::atan2(perp(),z());
}
inline double Hep3Vector::phi() const {
  return x() == 0.0 && y() == 0.0 ? 0.0 : std::atan2(y(),x());
}
 
inline double Hep3Vector::getR()     const { return mag();   }
inline double Hep3Vector::getTheta() const { return theta(); }
inline double Hep3Vector::getPhi()   const { return phi();   }
inline double Hep3Vector::angle()    const { return theta(); }
 
inline double Hep3Vector::cosTheta() const {
  double ptot = mag();
  return ptot == 0.0 ? 1.0 : z()/ptot;
}
 
inline double Hep3Vector::cos2Theta() const {
  double ptot2 = mag2();
  return ptot2 == 0.0 ? 1.0 : z()*z()/ptot2;
}
 
inline void Hep3Vector::setR(double r1) { setMag(r1); }
 
inline void Hep3Vector::setTheta(double th) {
  double ma   = mag();
  double ph   = phi();
  setX(ma*std::sin(th)*std::cos(ph));
  setY(ma*std::sin(th)*std::sin(ph));
  setZ(ma*std::cos(th));
}
 
inline void Hep3Vector::setPhi(double ph) {
  double xy   = perp();
  setX(xy*std::cos(ph));
  setY(xy*std::sin(ph));
}
 
// perp, eta, 
 
inline double Hep3Vector::perp2()  const { return x()*x() + y()*y(); }
inline double Hep3Vector::perp()   const { return std::sqrt(perp2()); }
inline double Hep3Vector::rho()    const { return perp();  }
inline double Hep3Vector::eta()    const { return pseudoRapidity();}
 
inline double Hep3Vector::getRho() const { return perp();  }
inline double Hep3Vector::getEta() const { return pseudoRapidity();}
 
inline void Hep3Vector::setPerp(double r1) {
  double p = perp();
  if (p != 0.0) {
    (*this)[X] *= r1/p;
    (*this)[Y] *= r1/p;
  }
}
inline void Hep3Vector::setRho(double rho1) { setPerp (rho1); }
 
// ----------
// Comparison
// ----------
 
inline bool Hep3Vector::operator == (const Hep3Vector& v) const {
  return (v.x()==x() && v.y()==y() && v.z()==z()) ? true : false;
}
 
inline bool Hep3Vector::operator != (const Hep3Vector& v) const {
  return (v.x()!=x() || v.y()!=y() || v.z()!=z()) ? true : false;
}
 
inline double Hep3Vector::getTolerance () {
  return tolerance;
}
 
// ----------
// Arithmetic
// ----------
 
inline Hep3Vector& Hep3Vector::operator += (const Hep3Vector & p) {
  (*this)[X] += p.x();
  (*this)[Y] += p.y();
  (*this)[Z] += p.z();
  return *this;
}
 
inline Hep3Vector& Hep3Vector::operator -= (const Hep3Vector & p) {
  (*this)[X] -= p.x();
  (*this)[Y] -= p.y();
  (*this)[Z] -= p.z();
  return *this;
}
 
inline Hep3Vector Hep3Vector::operator - () const {
  return Hep3Vector(-x(), -y(), -z());
}
 
inline Hep3Vector& Hep3Vector::operator *= (double a) {
  (*this)[X] *= a;
  (*this)[Y] *= a;
  (*this)[Z] *= a;
  return *this;
}
 
// -------------------
// Combine two Vectors
// -------------------
 
inline double Hep3Vector::diff2(const Hep3Vector & p) const {
  return (*this-p).mag2();
}
 
inline double Hep3Vector::dot(const Hep3Vector & p) const {
  return x()*p.x() + y()*p.y() + z()*p.z();
}
 
inline Hep3Vector Hep3Vector::cross(const Hep3Vector & p) const {
  return Hep3Vector(y()*p.z()-p.y()*z(), z()*p.x()-p.z()*x(), x()*p.y()-p.x()*y());
}
 
inline double Hep3Vector::perp2(const Hep3Vector & p)  const {
  double tot = p.mag2();
  double ss  = dot(p);
  return tot > 0.0 ? mag2()-ss*ss/tot : mag2();
}
 
inline double Hep3Vector::perp(const Hep3Vector & p) const {
  return std::sqrt(perp2(p));
}
 
inline Hep3Vector Hep3Vector::perpPart () const {
  return Hep3Vector (x(), y(), 0);
}
inline Hep3Vector Hep3Vector::project () const {
  return Hep3Vector (0, 0, z());
}
 
inline Hep3Vector Hep3Vector::perpPart (const Hep3Vector & v2) const {
  return ( *this - project(v2) );
}
 
inline double Hep3Vector::angle(const Hep3Vector & q) const {
  return std::acos(cosTheta(q));
}
 
inline double Hep3Vector::theta(const Hep3Vector & q) const { 
  return angle(q); 
}
 
inline double Hep3Vector::azimAngle(const Hep3Vector & v2) const { 
  return deltaPhi(v2); 
}
 
// ----------
// Properties
// ----------
 
inline Hep3Vector Hep3Vector::unit() const {
  double  tot = mag2();
  Hep3Vector p(x(),y(),z());
  return tot > 0.0 ? p *= (1.0/std::sqrt(tot)) : p;
}
 
inline Hep3Vector Hep3Vector::orthogonal() const {
  double xx = x() < 0.0 ? -x() : x();
  double yy = y() < 0.0 ? -y() : y();
  double zz = z() < 0.0 ? -z() : z();
  if (xx < yy) {
    return xx < zz ? Hep3Vector(0,z(),-y()) : Hep3Vector(y(),-x(),0);
  }else{
    return yy < zz ? Hep3Vector(-z(),0,x()) : Hep3Vector(y(),-x(),0);
  }
}
 
}  // namespace CLHEP