Gabriele Cosmo
290 lines
10 KiB
C++
290 lines
10 KiB
C++
// -*- C++ -*-
|
|
// ---------------------------------------------------------------------------
|
|
//
|
|
// This file is a part of the CLHEP - a Class Library for High Energy Physics.
|
|
//
|
|
// This is the implementation basic parts of the HepLorentzRotation class.
|
|
//
|
|
// Some ZOOM methods involving construction from columns and decomposition
|
|
// into boost*rotation are split off into LorentzRotationC and LorentzRotationD
|
|
|
|
#include "CLHEP/Vector/LorentzRotation.h"
|
|
|
|
#include <cmath>
|
|
#include <iomanip>
|
|
#include <iostream>
|
|
|
|
namespace CLHEP {
|
|
|
|
// ---------- Constructors and Assignment:
|
|
|
|
|
|
HepLorentzRotation & HepLorentzRotation::set
|
|
(double bx, double by, double bz) {
|
|
double bp2 = bx*bx + by*by + bz*bz;
|
|
// if (bp2 >= 1) {
|
|
// std::cerr << "HepLorentzRotation::set() - "
|
|
// << "Boost Vector supplied to set HepLorentzRotation represents speed >= c."
|
|
// << std::endl;
|
|
// }
|
|
double gamma = 1.0 / std::sqrt(1.0 - bp2);
|
|
double bgamma = gamma * gamma / (1.0 + gamma);
|
|
mxx = 1.0 + bgamma * bx * bx;
|
|
myy = 1.0 + bgamma * by * by;
|
|
mzz = 1.0 + bgamma * bz * bz;
|
|
mxy = myx = bgamma * bx * by;
|
|
mxz = mzx = bgamma * bx * bz;
|
|
myz = mzy = bgamma * by * bz;
|
|
mxt = mtx = gamma * bx;
|
|
myt = mty = gamma * by;
|
|
mzt = mtz = gamma * bz;
|
|
mtt = gamma;
|
|
return *this;
|
|
}
|
|
|
|
HepLorentzRotation & HepLorentzRotation::set
|
|
(const HepBoost & B, const HepRotation & R) {
|
|
set (B.rep4x4());
|
|
*this = matrixMultiplication ( R.rep4x4() );
|
|
return *this;
|
|
}
|
|
|
|
HepLorentzRotation & HepLorentzRotation::set
|
|
(const HepRotation & R, const HepBoost & B) {
|
|
set (R.rep4x4());
|
|
*this = matrixMultiplication ( B.rep4x4() );
|
|
return *this;
|
|
}
|
|
|
|
// ---------- Accessors:
|
|
|
|
// ------------ Subscripting:
|
|
|
|
double HepLorentzRotation::operator () (int i, int j) const {
|
|
if (i == 0) {
|
|
if (j == 0) { return xx(); }
|
|
if (j == 1) { return xy(); }
|
|
if (j == 2) { return xz(); }
|
|
if (j == 3) { return xt(); }
|
|
} else if (i == 1) {
|
|
if (j == 0) { return yx(); }
|
|
if (j == 1) { return yy(); }
|
|
if (j == 2) { return yz(); }
|
|
if (j == 3) { return yt(); }
|
|
} else if (i == 2) {
|
|
if (j == 0) { return zx(); }
|
|
if (j == 1) { return zy(); }
|
|
if (j == 2) { return zz(); }
|
|
if (j == 3) { return zt(); }
|
|
} else if (i == 3) {
|
|
if (j == 0) { return tx(); }
|
|
if (j == 1) { return ty(); }
|
|
if (j == 2) { return tz(); }
|
|
if (j == 3) { return tt(); }
|
|
}
|
|
std::cerr << "HepLorentzRotation subscripting: bad indices "
|
|
<< "(" << i << "," << j << ")\n";
|
|
return 0.0;
|
|
}
|
|
|
|
// ---------- Application:
|
|
|
|
|
|
// ---------- Comparison:
|
|
|
|
int HepLorentzRotation::compare( const HepLorentzRotation & m1 ) const {
|
|
if (mtt<m1.mtt) return -1; else if (mtt>m1.mtt) return 1;
|
|
else if (mtz<m1.mtz) return -1; else if (mtz>m1.mtz) return 1;
|
|
else if (mty<m1.mty) return -1; else if (mty>m1.mty) return 1;
|
|
else if (mtx<m1.mtx) return -1; else if (mtx>m1.mtx) return 1;
|
|
|
|
else if (mzt<m1.mzt) return -1; else if (mzt>m1.mzt) return 1;
|
|
else if (mzz<m1.mzz) return -1; else if (mzz>m1.mzz) return 1;
|
|
else if (mzy<m1.mzy) return -1; else if (mzy>m1.mzy) return 1;
|
|
else if (mzx<m1.mzx) return -1; else if (mzx>m1.mzx) return 1;
|
|
|
|
else if (myt<m1.myt) return -1; else if (myt>m1.myt) return 1;
|
|
else if (myz<m1.myz) return -1; else if (myz>m1.myz) return 1;
|
|
else if (myy<m1.myy) return -1; else if (myy>m1.myy) return 1;
|
|
else if (myx<m1.myx) return -1; else if (myx>m1.myx) return 1;
|
|
|
|
else if (mxt<m1.mxt) return -1; else if (mxt>m1.mxt) return 1;
|
|
else if (mxz<m1.mxz) return -1; else if (mxz>m1.mxz) return 1;
|
|
else if (mxy<m1.mxy) return -1; else if (mxy>m1.mxy) return 1;
|
|
else if (mxx<m1.mxx) return -1; else if (mxx>m1.mxx) return 1;
|
|
|
|
else return 0;
|
|
}
|
|
|
|
|
|
// ---------- Operations in the group of 4-Rotations
|
|
|
|
HepLorentzRotation
|
|
HepLorentzRotation::matrixMultiplication(const HepRep4x4 & m1) const {
|
|
return HepLorentzRotation(
|
|
mxx*m1.xx_ + mxy*m1.yx_ + mxz*m1.zx_ + mxt*m1.tx_,
|
|
mxx*m1.xy_ + mxy*m1.yy_ + mxz*m1.zy_ + mxt*m1.ty_,
|
|
mxx*m1.xz_ + mxy*m1.yz_ + mxz*m1.zz_ + mxt*m1.tz_,
|
|
mxx*m1.xt_ + mxy*m1.yt_ + mxz*m1.zt_ + mxt*m1.tt_,
|
|
|
|
myx*m1.xx_ + myy*m1.yx_ + myz*m1.zx_ + myt*m1.tx_,
|
|
myx*m1.xy_ + myy*m1.yy_ + myz*m1.zy_ + myt*m1.ty_,
|
|
myx*m1.xz_ + myy*m1.yz_ + myz*m1.zz_ + myt*m1.tz_,
|
|
myx*m1.xt_ + myy*m1.yt_ + myz*m1.zt_ + myt*m1.tt_,
|
|
|
|
mzx*m1.xx_ + mzy*m1.yx_ + mzz*m1.zx_ + mzt*m1.tx_,
|
|
mzx*m1.xy_ + mzy*m1.yy_ + mzz*m1.zy_ + mzt*m1.ty_,
|
|
mzx*m1.xz_ + mzy*m1.yz_ + mzz*m1.zz_ + mzt*m1.tz_,
|
|
mzx*m1.xt_ + mzy*m1.yt_ + mzz*m1.zt_ + mzt*m1.tt_,
|
|
|
|
mtx*m1.xx_ + mty*m1.yx_ + mtz*m1.zx_ + mtt*m1.tx_,
|
|
mtx*m1.xy_ + mty*m1.yy_ + mtz*m1.zy_ + mtt*m1.ty_,
|
|
mtx*m1.xz_ + mty*m1.yz_ + mtz*m1.zz_ + mtt*m1.tz_,
|
|
mtx*m1.xt_ + mty*m1.yt_ + mtz*m1.zt_ + mtt*m1.tt_ );
|
|
}
|
|
|
|
HepLorentzRotation & HepLorentzRotation::rotateX(double delta) {
|
|
double c1 = std::cos (delta);
|
|
double s1 = std::sin (delta);
|
|
HepLorentzVector rowy = row2();
|
|
HepLorentzVector rowz = row3();
|
|
HepLorentzVector r2 = c1 * rowy - s1 * rowz;
|
|
HepLorentzVector r3 = s1 * rowy + c1 * rowz;
|
|
myx = r2.x(); myy = r2.y(); myz = r2.z(); myt = r2.t();
|
|
mzx = r3.x(); mzy = r3.y(); mzz = r3.z(); mzt = r3.t();
|
|
return *this;
|
|
}
|
|
|
|
HepLorentzRotation & HepLorentzRotation::rotateY(double delta) {
|
|
double c1 = std::cos (delta);
|
|
double s1 = std::sin (delta);
|
|
HepLorentzVector rowx = row1();
|
|
HepLorentzVector rowz = row3();
|
|
HepLorentzVector r1 = c1 * rowx + s1 * rowz;
|
|
HepLorentzVector r3 = -s1 * rowx + c1 * rowz;
|
|
mxx = r1.x(); mxy = r1.y(); mxz = r1.z(); mxt = r1.t();
|
|
mzx = r3.x(); mzy = r3.y(); mzz = r3.z(); mzt = r3.t();
|
|
return *this;
|
|
}
|
|
|
|
HepLorentzRotation & HepLorentzRotation::rotateZ(double delta) {
|
|
double c1 = std::cos (delta);
|
|
double s1 = std::sin (delta);
|
|
HepLorentzVector rowx = row1();
|
|
HepLorentzVector rowy = row2();
|
|
HepLorentzVector r1 = c1 * rowx - s1 * rowy;
|
|
HepLorentzVector r2 = s1 * rowx + c1 * rowy;
|
|
mxx = r1.x(); mxy = r1.y(); mxz = r1.z(); mxt = r1.t();
|
|
myx = r2.x(); myy = r2.y(); myz = r2.z(); myt = r2.t();
|
|
return *this;
|
|
}
|
|
|
|
HepLorentzRotation & HepLorentzRotation::boostX(double beta) {
|
|
double b2 = beta*beta;
|
|
// if (b2 >= 1) {
|
|
// std::cerr << "HepLorentzRotation::boostX() - "
|
|
// << "Beta supplied to HepLorentzRotation::boostX represents speed >= c."
|
|
// << std::endl;
|
|
// }
|
|
double g1 = 1.0/std::sqrt(1.0-b2);
|
|
double bg = beta*g1;
|
|
HepLorentzVector rowx = row1();
|
|
HepLorentzVector rowt = row4();
|
|
HepLorentzVector r1 = g1 * rowx + bg * rowt;
|
|
HepLorentzVector r4 = bg * rowx + g1 * rowt;
|
|
mxx = r1.x(); mxy = r1.y(); mxz = r1.z(); mxt = r1.t();
|
|
mtx = r4.x(); mty = r4.y(); mtz = r4.z(); mtt = r4.t();
|
|
return *this;
|
|
}
|
|
|
|
HepLorentzRotation & HepLorentzRotation::boostY(double beta) {
|
|
double b2 = beta*beta;
|
|
// if (b2 >= 1) {
|
|
// std::cerr << "HepLorentzRotation::boostY() - "
|
|
// << "Beta supplied to HepLorentzRotation::boostY represents speed >= c."
|
|
// << std::endl;
|
|
// }
|
|
double g1 = 1.0/std::sqrt(1.0-b2);
|
|
double bg = beta*g1;
|
|
HepLorentzVector rowy = row2();
|
|
HepLorentzVector rowt = row4();
|
|
HepLorentzVector r2 = g1 * rowy + bg * rowt;
|
|
HepLorentzVector r4 = bg * rowy + g1 * rowt;
|
|
myx = r2.x(); myy = r2.y(); myz = r2.z(); myt = r2.t();
|
|
mtx = r4.x(); mty = r4.y(); mtz = r4.z(); mtt = r4.t();
|
|
return *this;
|
|
}
|
|
|
|
HepLorentzRotation & HepLorentzRotation::boostZ(double beta) {
|
|
double b2 = beta*beta;
|
|
// if (b2 >= 1) {
|
|
// std::cerr << "HepLorentzRotation::boostZ() - "
|
|
// << "Beta supplied to HepLorentzRotation::boostZ represents speed >= c."
|
|
// << std::endl;
|
|
// }
|
|
double g1 = 1.0/std::sqrt(1.0-b2);
|
|
double bg = beta*g1;
|
|
HepLorentzVector rowz = row3();
|
|
HepLorentzVector rowt = row4();
|
|
HepLorentzVector r3 = g1 * rowz + bg * rowt;
|
|
HepLorentzVector r4 = bg * rowz + g1 * rowt;
|
|
mtx = r4.x(); mty = r4.y(); mtz = r4.z(); mtt = r4.t();
|
|
mzx = r3.x(); mzy = r3.y(); mzz = r3.z(); mzt = r3.t();
|
|
return *this;
|
|
}
|
|
|
|
std::ostream & HepLorentzRotation::print( std::ostream & os ) const {
|
|
os << "\n [ ( " <<
|
|
std::setw(11) << std::setprecision(6) << xx() << " " <<
|
|
std::setw(11) << std::setprecision(6) << xy() << " " <<
|
|
std::setw(11) << std::setprecision(6) << xz() << " " <<
|
|
std::setw(11) << std::setprecision(6) << xt() << ")\n"
|
|
<< " ( " <<
|
|
std::setw(11) << std::setprecision(6) << yx() << " " <<
|
|
std::setw(11) << std::setprecision(6) << yy() << " " <<
|
|
std::setw(11) << std::setprecision(6) << yz() << " " <<
|
|
std::setw(11) << std::setprecision(6) << yt() << ")\n"
|
|
<< " ( " <<
|
|
std::setw(11) << std::setprecision(6) << zx() << " " <<
|
|
std::setw(11) << std::setprecision(6) << zy() << " " <<
|
|
std::setw(11) << std::setprecision(6) << zz() << " " <<
|
|
std::setw(11) << std::setprecision(6) << zt() << ")\n"
|
|
<< " ( " <<
|
|
std::setw(11) << std::setprecision(6) << tx() << " " <<
|
|
std::setw(11) << std::setprecision(6) << ty() << " " <<
|
|
std::setw(11) << std::setprecision(6) << tz() << " " <<
|
|
std::setw(11) << std::setprecision(6) << tt() << ") ]\n";
|
|
return os;
|
|
}
|
|
|
|
HepLorentzRotation operator* ( const HepRotation & r,
|
|
const HepLorentzRotation & lt) {
|
|
r.rep4x4();
|
|
lt.rep4x4();
|
|
return HepLorentzRotation( HepRep4x4(
|
|
r.xx()*lt.xx() + r.xy()*lt.yx() + r.xz()*lt.zx() + r.xt()*lt.tx(),
|
|
r.xx()*lt.xy() + r.xy()*lt.yy() + r.xz()*lt.zy() + r.xt()*lt.ty(),
|
|
r.xx()*lt.xz() + r.xy()*lt.yz() + r.xz()*lt.zz() + r.xt()*lt.tz(),
|
|
r.xx()*lt.xt() + r.xy()*lt.yt() + r.xz()*lt.zt() + r.xt()*lt.tt(),
|
|
|
|
r.yx()*lt.xx() + r.yy()*lt.yx() + r.yz()*lt.zx() + r.yt()*lt.tx(),
|
|
r.yx()*lt.xy() + r.yy()*lt.yy() + r.yz()*lt.zy() + r.yt()*lt.ty(),
|
|
r.yx()*lt.xz() + r.yy()*lt.yz() + r.yz()*lt.zz() + r.yt()*lt.tz(),
|
|
r.yx()*lt.xt() + r.yy()*lt.yt() + r.yz()*lt.zt() + r.yt()*lt.tt(),
|
|
|
|
r.zx()*lt.xx() + r.zy()*lt.yx() + r.zz()*lt.zx() + r.zt()*lt.tx(),
|
|
r.zx()*lt.xy() + r.zy()*lt.yy() + r.zz()*lt.zy() + r.zt()*lt.ty(),
|
|
r.zx()*lt.xz() + r.zy()*lt.yz() + r.zz()*lt.zz() + r.zt()*lt.tz(),
|
|
r.zx()*lt.xt() + r.zy()*lt.yt() + r.zz()*lt.zt() + r.zt()*lt.tt(),
|
|
|
|
r.tx()*lt.xx() + r.ty()*lt.yx() + r.tz()*lt.zx() + r.tt()*lt.tx(),
|
|
r.tx()*lt.xy() + r.ty()*lt.yy() + r.tz()*lt.zy() + r.tt()*lt.ty(),
|
|
r.tx()*lt.xz() + r.ty()*lt.yz() + r.tz()*lt.zz() + r.tt()*lt.tz(),
|
|
r.tx()*lt.xt() + r.ty()*lt.yt() + r.tz()*lt.zt() + r.tt()*lt.tt() ) );
|
|
}
|
|
|
|
|
|
const HepLorentzRotation HepLorentzRotation::IDENTITY;
|
|
|
|
} // namespace CLHEP
|