Revision 4bee12876976bec72820e6464bf8665e58e624d0 authored by Gerardo Ganis on 24 July 2009, 07:33:50 UTC, committed by Gerardo Ganis on 24 July 2009, 07:33:50 UTC
git-svn-id: http://root.cern.ch/svn/root/branches/v5-24-00-patches@29570 27541ba8-7e3a-0410-8455-c3a389f83636
1 parent 3517aba
BoostX.cxx
// @(#)root/mathcore:$Id$
// Authors: M. Fischler 2005
/**********************************************************************
* *
* Copyright (c) 2005 , LCG ROOT FNAL MathLib Team *
* *
* *
**********************************************************************/
// Header file for class BoostX, a 4x4 symmetric matrix representation of
// an axial Lorentz transformation
//
// Created by: Mark Fischler Mon Nov 1 2005
//
#include "Math/GenVector/BoostX.h"
#include "Math/GenVector/LorentzVector.h"
#include "Math/GenVector/PxPyPzE4D.h"
#include "Math/GenVector/DisplacementVector3D.h"
#include "Math/GenVector/Cartesian3D.h"
#include "Math/GenVector/GenVector_exception.h"
#include <cmath>
#include <algorithm>
namespace ROOT {
namespace Math {
BoostX::BoostX() : fBeta(0.0), fGamma(1.0) {}
void BoostX::SetComponents (Scalar bx ) {
// set component
Scalar bp2 = bx*bx;
if (bp2 >= 1) {
GenVector::Throw (
"Beta Vector supplied to set BoostX represents speed >= c");
return;
}
fBeta = bx;
fGamma = 1.0 / std::sqrt(1.0 - bp2);
}
void BoostX::GetComponents (Scalar& bx) const {
// get component
bx = fBeta;
}
DisplacementVector3D< Cartesian3D<BoostX::Scalar> >
BoostX::BetaVector() const {
// return beta vector
return DisplacementVector3D< Cartesian3D<Scalar> > ( fBeta, 0.0, 0.0 );
}
void BoostX::GetLorentzRotation (Scalar r[]) const {
// get corresponding LorentzRotation
r[kLXX] = fGamma; r[kLXY] = 0.0; r[kLXZ] = 0.0; r[kLXT] = fGamma*fBeta;
r[kLYX] = 0.0; r[kLYY] = 1.0; r[kLYZ] = 0.0; r[kLYT] = 0.0;
r[kLZX] = 0.0; r[kLZY] = 0.0; r[kLZZ] = 1.0; r[kLZT] = 0.0;
r[kLTX] = fGamma*fBeta; r[kLTY] = 0.0; r[kLTZ] = 0.0; r[kLTT] = fGamma;
}
void BoostX::Rectify() {
// Assuming the representation of this is close to a true Lorentz Rotation,
// but may have drifted due to round-off error from many operations,
// this forms an "exact" orthosymplectic matrix for the Lorentz Rotation
// again.
if (fGamma <= 0) {
GenVector::Throw (
"Attempt to rectify a boost with non-positive gamma");
return;
}
Scalar beta = fBeta;
if ( beta >= 1 ) {
beta /= ( beta * ( 1.0 + 1.0e-16 ) );
}
SetComponents ( beta );
}
LorentzVector< PxPyPzE4D<double> >
BoostX::operator() (const LorentzVector< PxPyPzE4D<double> > & v) const {
// apply boost to a LV
Scalar x = v.Px();
Scalar t = v.E();
return LorentzVector< PxPyPzE4D<double> >
( fGamma*x + fGamma*fBeta*t
, v.Py()
, v.Pz()
, fGamma*fBeta*x + fGamma*t );
}
void BoostX::Invert() {
// invert
fBeta = -fBeta;
}
BoostX BoostX::Inverse() const {
// return an inverse boostX
BoostX tmp(*this);
tmp.Invert();
return tmp;
}
// ========== I/O =====================
std::ostream & operator<< (std::ostream & os, const BoostX & b) {
os << " BoostX( beta: " << b.Beta() << ", gamma: " << b.Gamma() << " ) ";
return os;
}
} //namespace Math
} //namespace ROOT
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