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