class ROOT::Math::EulerAngles


      EulerAngles class describing rotation as three angles (Euler Angles).
      The Euler angles definition matches that of Classical Mechanics (Goldstein).
      It is also the same convention defined in
      <A HREF="http://mathworld.wolfram.com/EulerAngles.html">mathworld</A>
      and used in Mathematica and CLHEP. Note that the ROOT class TRotation defines
      a slightly different convention.

      @ingroup GenVector

Function Members (Methods)

public:
~EulerAngles()
ROOT::Math::EulerAnglesEulerAngles()
ROOT::Math::EulerAnglesEulerAngles(const ROOT::Math::EulerAngles&)
ROOT::Math::EulerAnglesEulerAngles(ROOT::Math::EulerAngles::Scalar phi, ROOT::Math::EulerAngles::Scalar theta, ROOT::Math::EulerAngles::Scalar psi)
voidGetComponents(double* begin) const
voidGetComponents(ROOT::Math::EulerAngles::Scalar& phi, ROOT::Math::EulerAngles::Scalar& theta, ROOT::Math::EulerAngles::Scalar& psi) const
ROOT::Math::EulerAnglesInverse() const
voidInvert()
booloperator!=(const ROOT::Math::EulerAngles& rhs) const
ROOT::Math::EulerAnglesoperator*(const ROOT::Math::Rotation3D& r) const
ROOT::Math::EulerAnglesoperator*(const ROOT::Math::AxisAngle& a) const
ROOT::Math::EulerAnglesoperator*(const ROOT::Math::EulerAngles& e) const
ROOT::Math::EulerAnglesoperator*(const ROOT::Math::Quaternion& q) const
ROOT::Math::EulerAnglesoperator*(const ROOT::Math::RotationX& rx) const
ROOT::Math::EulerAnglesoperator*(const ROOT::Math::RotationY& ry) const
ROOT::Math::EulerAnglesoperator*(const ROOT::Math::RotationZ& rz) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>operator*(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v) const
ROOT::Math::DisplacementVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>operator*(const ROOT::Math::DisplacementVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v) const
ROOT::Math::LorentzVector<ROOT::Math::PxPyPzE4D<double> >operator*(const ROOT::Math::LorentzVector<ROOT::Math::PxPyPzE4D<double> >& v) const
ROOT::Math::EulerAngles&operator=(ROOT::Math::Rotation3D const& r)
ROOT::Math::EulerAngles&operator=(ROOT::Math::Quaternion const& r)
ROOT::Math::EulerAngles&operator=(ROOT::Math::RotationX const& r)
ROOT::Math::EulerAngles&operator=(ROOT::Math::RotationY const& r)
ROOT::Math::EulerAngles&operator=(ROOT::Math::RotationZ const& r)
ROOT::Math::EulerAngles&operator=(const ROOT::Math::EulerAngles&)
booloperator==(const ROOT::Math::EulerAngles& rhs) const
ROOT::Math::EulerAngles::ScalarPhi() const
ROOT::Math::EulerAngles::ScalarPsi() const
voidRectify()
voidSetComponents(double* begin, double* end)
voidSetComponents(ROOT::Math::EulerAngles::Scalar phi, ROOT::Math::EulerAngles::Scalar theta, ROOT::Math::EulerAngles::Scalar psi)
voidSetPhi(ROOT::Math::EulerAngles::Scalar phi)
voidSetPsi(ROOT::Math::EulerAngles::Scalar psi)
voidSetTheta(ROOT::Math::EulerAngles::Scalar theta)
ROOT::Math::EulerAngles::ScalarTheta() const
private:
static doublePi()

Data Members

private:
doublefPhiZ rotation angle (first) defined in [-PI,PI]
doublefPsiZ rotation angle (third) defined in [-PI,PI]
doublefThetaX rotation angle (second) defined only [0,PI]

Class Charts

Inheritance Inherited Members Includes Libraries
Class Charts

Function documentation

EulerAngles(const ROOT::Math::EulerAngles& )
     Default constructor
{ }
EulerAngles(ROOT::Math::EulerAngles::Scalar phi, ROOT::Math::EulerAngles::Scalar theta, ROOT::Math::EulerAngles::Scalar psi)
      Constructor from phi, theta and psi
{Rectify();}
EulerAngles(IT begin, IT end)
      Construct given a pair of pointers or iterators defining the
      beginning and end of an array of three Scalars, to be treated as
      the angles phi, theta and psi.
{ SetComponents(begin,end); }
void Rectify()
 The compiler-generated copy ctor, copy assignment, and dtor are OK.

      Re-adjust components place angles in canonical ranges
EulerAngles & operator=( OtherRotation const & r )
      Assign from any other rotation (see gv_detail::convert )
operator=( AxisAngle const & a )
      Assign from an AxisAngle
{ return operator=(EulerAngles(a)); }
operator=( Quaternion const & q )
      Assign from a Quaternion
{return operator=(EulerAngles(q)); }
operator=( RotationZ const & r )
      Assign from an axial rotation
{ return operator=(EulerAngles(r)); }
operator=( RotationY const & r )
{ return operator=(EulerAngles(r)); }
operator=( RotationX const & r )
{ return operator=(EulerAngles(r)); }
void SetComponents(double* begin, double* end)
 ======== Components ==============

      Set the three Euler angles given a pair of pointers or iterators
      defining the beginning and end of an array of three Scalars.
void GetComponents(IT begin, IT end)
      Get the axis and then the angle into data specified by an iterator begin
      and another to the end of the desired data (4 past start).
void GetComponents(double* begin) const
      Get the axis and then the angle into data specified by an iterator begin
void SetComponents(ROOT::Math::EulerAngles::Scalar phi, ROOT::Math::EulerAngles::Scalar theta, ROOT::Math::EulerAngles::Scalar psi)
      Set the components phi, theta, psi based on three Scalars.
void SetPhi(ROOT::Math::EulerAngles::Scalar phi)
      Set Phi Euler angle		// JMM 30 Jan. 2006
{ fPhi=phi; Rectify(); }
Scalar Phi()
      Return Phi Euler angle
{ return fPhi; }
void SetTheta(ROOT::Math::EulerAngles::Scalar theta)
      Set Theta Euler angle		// JMM 30 Jan. 2006
{ fTheta=theta; Rectify(); }
Scalar Theta()
      Return Theta Euler angle
{ return fTheta; }
void SetPsi(ROOT::Math::EulerAngles::Scalar psi)
      Set Psi Euler angle		// JMM 30 Jan. 2006
{ fPsi=psi; Rectify(); }
Scalar Psi()
      Return Psi Euler angle
{ return fPsi; }
AVector operator*(const AVector & v)
      Overload operator * for rotation on a vector
void Invert()
      Invert a rotation in place

 theta stays the same and negative rotation in Theta is done via a rotation
 of + PI in pohi and Psi
EulerAngles Inverse()
      Return inverse of a rotation
{ return EulerAngles(-fPsi + Pi(), fTheta, -fPhi + Pi()); }
return ! operator==(const ROOT::Math::EulerAngles& rhs) const
double Pi()
{ return M_PI; }
EulerAngles operator*(RotationX const & r1, EulerAngles const & r2)
   Multiplication of an axial rotation by an AxisAngle
EulerAngles operator*(RotationY const & r1, EulerAngles const & r2)
EulerAngles operator*(RotationZ const & r1, EulerAngles const & r2)

Last change: root/mathcore:$Id: EulerAngles.h 22516 2008-03-07 15:14:26Z moneta $
Last generated: 2008-06-25 08:29
Copyright (c) 2005 , LCG ROOT MathLib Team *
This page has been automatically generated. If you have any comments or suggestions about the page layout send a mail to ROOT support, or contact the developers with any questions or problems regarding ROOT.