/usr/include/root/Math/GenVector/RotationY.h is in libroot-math-genvector-dev 5.34.30-0ubuntu8.
This file is owned by root:root, with mode 0o644.
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// Authors: W. Brown, M. Fischler, L. Moneta 2005
/**********************************************************************
* *
* Copyright (c) 2005 , LCG ROOT FNAL MathLib Team *
* *
* *
**********************************************************************/
// Header file for class RotationY representing a rotation about the Y axis
//
// Created by: Mark Fischler Mon July 18 2005
//
// Last update: $Id$
//
#ifndef ROOT_Math_GenVector_RotationY
#define ROOT_Math_GenVector_RotationY 1
#include "Math/GenVector/Cartesian3D.h"
#include "Math/GenVector/DisplacementVector3D.h"
#include "Math/GenVector/PositionVector3D.h"
#include "Math/GenVector/LorentzVector.h"
#include "Math/GenVector/3DDistances.h"
#include "Math/GenVector/RotationYfwd.h"
#include <cmath>
namespace ROOT {
namespace Math {
//__________________________________________________________________________________________
/**
Rotation class representing a 3D rotation about the Y axis by the angle of rotation.
For efficiency reason, in addition to the the angle, the sine and cosine of the angle are held
@ingroup GenVector
*/
class RotationY {
public:
typedef double Scalar;
// ========== Constructors and Assignment =====================
/**
Default constructor (identity rotation)
*/
RotationY() : fAngle(0), fSin(0), fCos(1) { }
/**
Construct from an angle
*/
explicit RotationY( Scalar angle ) : fAngle(angle),
fSin(std::sin(angle)),
fCos(std::cos(angle))
{
Rectify();
}
// The compiler-generated copy ctor, copy assignment, and dtor are OK.
/**
Rectify makes sure the angle is in (-pi,pi]
*/
void Rectify() {
if ( std::fabs(fAngle) >= M_PI ) {
double x = fAngle / (2.0 * M_PI);
fAngle = (2.0 * M_PI) * ( x + std::floor(.5-x) );
fSin = std::sin(fAngle);
fCos = std::cos(fAngle);
}
}
// ======== Components ==============
/**
Set given the angle.
*/
void SetAngle (Scalar angle) {
fSin=std::sin(angle);
fCos=std::cos(angle);
fAngle= angle;
Rectify();
}
void SetComponents (Scalar angle) { SetAngle(angle); }
/**
Get the angle
*/
void GetAngle ( Scalar & angle ) const { angle = atan2 (fSin,fCos); }
void GetComponents ( Scalar & angle ) const { GetAngle(angle); }
/**
Angle of rotation
*/
Scalar Angle () const { return atan2 (fSin,fCos); }
/**
Sine or Cosine of the rotation angle
*/
Scalar SinAngle () const { return fSin; }
Scalar CosAngle () const { return fCos; }
// =========== operations ==============
// /**
// Rotation operation on a cartesian vector
// */
// typedef DisplacementVector3D< Cartesian3D<double> > XYZVector;
// XYZVector operator() (const XYZVector & v) const {
// return XYZVector
// ( fCos*v.x()+fSin*v.z(), v.y(), fCos*v.z()-fSin*v.x() );
// }
/**
Rotation operation on a displacement vector in any coordinate system
*/
template <class CoordSystem, class U>
DisplacementVector3D<CoordSystem,U>
operator() (const DisplacementVector3D<CoordSystem,U> & v) const {
DisplacementVector3D< Cartesian3D<double>,U > xyz;
xyz.SetXYZ( fCos*v.x()+fSin*v.z(), v.y(), fCos*v.z()-fSin*v.x() );
return DisplacementVector3D<CoordSystem,U>(xyz);
}
/**
Rotation operation on a position vector in any coordinate system
*/
template <class CoordSystem, class U>
PositionVector3D<CoordSystem, U>
operator() (const PositionVector3D<CoordSystem,U> & v) const {
DisplacementVector3D< Cartesian3D<double>,U > xyz(v);
DisplacementVector3D< Cartesian3D<double>,U > rxyz = operator()(xyz);
return PositionVector3D<CoordSystem,U> ( rxyz );
}
/**
Rotation operation on a Lorentz vector in any 4D coordinate system
*/
template <class CoordSystem>
LorentzVector<CoordSystem>
operator() (const LorentzVector<CoordSystem> & v) const {
DisplacementVector3D< Cartesian3D<double> > xyz(v.Vect());
xyz = operator()(xyz);
LorentzVector< PxPyPzE4D<double> > xyzt (xyz.X(), xyz.Y(), xyz.Z(), v.E());
return LorentzVector<CoordSystem> ( xyzt );
}
/**
Rotation operation on an arbitrary vector v.
Preconditions: v must implement methods x(), y(), and z()
and the arbitrary vector type must have a constructor taking (x,y,z)
*/
template <class ForeignVector>
ForeignVector
operator() (const ForeignVector & v) const {
DisplacementVector3D< Cartesian3D<double> > xyz(v);
DisplacementVector3D< Cartesian3D<double> > rxyz = operator()(xyz);
return ForeignVector ( rxyz.X(), rxyz.Y(), rxyz.Z() );
}
/**
Overload operator * for rotation on a vector
*/
template <class AVector>
inline
AVector operator* (const AVector & v) const
{
return operator()(v);
}
/**
Invert a rotation in place
*/
void Invert() { fAngle = -fAngle; fSin = -fSin; }
/**
Return inverse of a rotation
*/
RotationY Inverse() const { RotationY t(*this); t.Invert(); return t; }
// ========= Multi-Rotation Operations ===============
/**
Multiply (combine) two rotations
*/
RotationY operator * (const RotationY & r) const {
RotationY ans;
double x = (fAngle + r.fAngle) / (2.0 * M_PI);
ans.fAngle = (2.0 * M_PI) * ( x + std::floor(.5-x) );
ans.fSin = fSin*r.fCos + fCos*r.fSin;
ans.fCos = fCos*r.fCos - fSin*r.fSin;
return ans;
}
/**
Post-Multiply (on right) by another rotation : T = T*R
*/
RotationY & operator *= (const RotationY & r) { return *this = (*this)*r; }
/**
Equality/inequality operators
*/
bool operator == (const RotationY & rhs) const {
if( fAngle != rhs.fAngle ) return false;
return true;
}
bool operator != (const RotationY & rhs) const {
return ! operator==(rhs);
}
private:
Scalar fAngle; // rotation angle
Scalar fSin; // sine of the rotation angle
Scalar fCos; // cosine of the rotaiton angle
}; // RotationY
// ============ Class RotationY ends here ============
/**
Distance between two rotations
*/
template <class R>
inline
typename RotationY::Scalar
Distance ( const RotationY& r1, const R & r2) {return gv_detail::dist(r1,r2);}
/**
Stream Output and Input
*/
// TODO - I/O should be put in the manipulator form
inline
std::ostream & operator<< (std::ostream & os, const RotationY & r) {
os << " RotationY(" << r.Angle() << ") ";
return os;
}
} // namespace Math
} // namespace ROOT
#endif // ROOT_Math_GenVector_RotationY
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