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geant4/source/externals/clhep/include/CLHEP/Vector/ThreeVector.icc
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2016-06-10 12:08:39 +02:00

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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
// Hep3Vector class.
//
#include <cmath>
namespace CLHEP {
// ------------------
// Access to elements
// ------------------
// x, y, z
inline double & Hep3Vector::operator[] (int i) { return operator()(i); }
inline double Hep3Vector::operator[] (int i) const { return operator()(i); }
inline double Hep3Vector::x() const { return dx; }
inline double Hep3Vector::y() const { return dy; }
inline double Hep3Vector::z() const { return dz; }
inline double Hep3Vector::getX() const { return dx; }
inline double Hep3Vector::getY() const { return dy; }
inline double Hep3Vector::getZ() const { return dz; }
inline void Hep3Vector::setX(double x1) { dx = x1; }
inline void Hep3Vector::setY(double y1) { dy = y1; }
inline void Hep3Vector::setZ(double z1) { dz = z1; }
inline void Hep3Vector::set(double x1, double y1, double z1) {
dx = x1;
dy = y1;
dz = z1;
}
inline double Hep3Vector::operator () (int i) const {
switch(i) {
case X:
return x();
case Y:
return y();
case Z:
return z();
}
return 0.;
}
inline double & Hep3Vector::operator () (int i) {
static double dummy;
switch(i) {
case X:
return dx;
case Y:
return dy;
case Z:
return dz;
}
return dummy;
}
// --------------
// 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()
: dx(0.), dy(0.), dz(0.) {}
inline Hep3Vector::Hep3Vector(double x1)
: dx(x1), dy(0.), dz(0.) {}
inline Hep3Vector::Hep3Vector(double x1, double y1)
: dx(x1), dy(y1), dz(0.) {}
inline Hep3Vector::Hep3Vector(double x1, double y1, double z1)
: dx(x1), dy(y1), dz(z1) {}
inline Hep3Vector::Hep3Vector(const Hep3Vector & p)
: dx(p.dx), dy(p.dy), dz(p.dz) {}
inline Hep3Vector::~Hep3Vector() {}
inline Hep3Vector & Hep3Vector::operator = (const Hep3Vector & p) {
dx = p.dx;
dy = p.dy;
dz = p.dz;
return *this;
}
// ------------------
// Access to elements
// ------------------
// r, theta, phi
inline double Hep3Vector::mag2() const { return dx*dx + dy*dy + dz*dz; }
inline double Hep3Vector::mag() const { return std::sqrt(mag2()); }
inline double Hep3Vector::r() const { return mag(); }
inline double Hep3Vector::theta() const {
return dx == 0.0 && dy == 0.0 && dz == 0.0 ? 0.0 : std::atan2(perp(),dz);
}
inline double Hep3Vector::phi() const {
return dx == 0.0 && dy == 0.0 ? 0.0 : std::atan2(dy,dx);
}
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 : dz/ptot;
}
inline double Hep3Vector::cos2Theta() const {
double ptot2 = mag2();
return ptot2 == 0.0 ? 1.0 : dz*dz/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 dx*dx + dy*dy; }
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) {
dx *= r1/p;
dy *= 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) {
dx += p.x();
dy += p.y();
dz += p.z();
return *this;
}
inline Hep3Vector& Hep3Vector::operator -= (const Hep3Vector & p) {
dx -= p.x();
dy -= p.y();
dz -= p.z();
return *this;
}
inline Hep3Vector Hep3Vector::operator - () const {
return Hep3Vector(-dx, -dy, -dz);
}
inline Hep3Vector& Hep3Vector::operator *= (double a) {
dx *= a;
dy *= a;
dz *= 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 dx*p.x() + dy*p.y() + dz*p.z();
}
inline Hep3Vector Hep3Vector::cross(const Hep3Vector & p) const {
return Hep3Vector(dy*p.z()-p.y()*dz, dz*p.x()-p.z()*dx, dx*p.y()-p.x()*dy);
}
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 (dx, dy, 0);
}
inline Hep3Vector Hep3Vector::project () const {
return Hep3Vector (0, 0, dz);
}
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 = dx < 0.0 ? -dx : dx;
double yy = dy < 0.0 ? -dy : dy;
double zz = dz < 0.0 ? -dz : dz;
if (xx < yy) {
return xx < zz ? Hep3Vector(0,dz,-dy) : Hep3Vector(dy,-dx,0);
}else{
return yy < zz ? Hep3Vector(-dz,0,dx) : Hep3Vector(dy,-dx,0);
}
}
} // namespace CLHEP