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Public Types | Public Member Functions | Private Attributes

TkRotation< T > Class Template Reference

#include <extTkRotation.h>

List of all members.

Public Types

typedef Basic3DVector< T > BasicVector
typedef Basic3DVector< T > BasicVector
typedef Basic3DVector< T > BasicVector
typedef Vector3DBase< T,
GlobalTag > 		GlobalVector
typedef Vector3DBase< T,
GlobalTag > 		GlobalVector
typedef Vector3DBase< T,
GlobalTag > 		GlobalVector
typedef Vector3DBase< T,
GlobalTag > 		GlobalVector

Public Member Functions

Basic3DVector< T > multiplyInverse (const Basic3DVector< T > &v) const
template<class Scalar >
Basic3DVector< Scalar > multiplyInverse (const Basic3DVector< Scalar > &v) const
Basic3DVector< T > multiplyInverse (const Basic2DVector< T > &v) const
TkRotation multiplyInverse (const TkRotation &b) const
Basic3DVector< T > multiplyInverse (const Basic3DVector< T > &v) const
Basic3DVector< T > multiplyInverse (const Basic2DVector< T > &v) const
TkRotation multiplyInverse (const TkRotation &b) const
Basic3DVector< T > multiplyInverse (const Basic3DVector< T > &v) const
template<class Scalar >
Basic3DVector< Scalar > multiplyInverse (const Basic3DVector< Scalar > &v) const
Basic3DVector< T > multiplyInverse (const Basic2DVector< T > &v) const
TkRotation multiplyInverse (const TkRotation &b) const
Basic3DVector< T > multiplyInverse (const Basic3DVector< T > &v) const
template<class Scalar >
Basic3DVector< Scalar > multiplyInverse (const Basic3DVector< Scalar > &v) const
Basic3DVector< T > multiplyInverse (const Basic2DVector< T > &v) const
TkRotation multiplyInverse (const TkRotation &b) const
Basic3DVector< T > operator* (const Basic2DVector< T > &v) const
TkRotation operator* (const TkRotation &b) const
Basic3DVector< T > operator* (const Basic3DVector< T > &v) const
Basic3DVector< T > operator* (const Basic2DVector< T > &v) const
TkRotation operator* (const TkRotation &b) const
Basic3DVector< T > operator* (const Basic3DVector< T > &v) const
Basic3DVector< T > operator* (const Basic3DVector< T > &v) const
Basic3DVector< T > operator* (const Basic2DVector< T > &v) const
TkRotation operator* (const TkRotation &b) const
Basic3DVector< T > operator* (const Basic3DVector< T > &v) const
Basic3DVector< T > operator* (const Basic2DVector< T > &v) const
TkRotation operator* (const TkRotation &b) const
TkRotation & operator*= (const TkRotation &b)
TkRotation & operator*= (const TkRotation &b)
TkRotation & operator*= (const TkRotation &b)
TkRotation & operator*= (const TkRotation &b)
Basic3DVector< T > rotate (const Basic3DVector< T > &v) const
Basic3DVector< T > rotate (const Basic3DVector< T > &v) const
Basic3DVector< T > rotate (const Basic3DVector< T > &v) const
Basic3DVector< T > rotate (const Basic3DVector< T > &v) const
TkRotation & rotateAxes (const Basic3DVector< T > &newX, const Basic3DVector< T > &newY, const Basic3DVector< T > &newZ)
TkRotation & rotateAxes (const Basic3DVector< T > &newX, const Basic3DVector< T > &newY, const Basic3DVector< T > &newZ)
TkRotation & rotateAxes (const Basic3DVector< T > &newX, const Basic3DVector< T > &newY, const Basic3DVector< T > &newZ)
TkRotation & rotateAxes (const Basic3DVector< T > &newX, const Basic3DVector< T > &newY, const Basic3DVector< T > &newZ)
Basic3DVector< T > rotateBack (const Basic3DVector< T > &v) const
Basic3DVector< T > rotateBack (const Basic3DVector< T > &v) const
Basic3DVector< T > rotateBack (const Basic3DVector< T > &v) const
Basic3DVector< T > rotateBack (const Basic3DVector< T > &v) const
 TkRotation (Rot3< T > const &irot)
 TkRotation (const BasicVector &uX, const BasicVector &uY, const BasicVector &uZ)
 TkRotation (const T *p)
 TkRotation ()
 TkRotation (const Basic3DVector< T > &axis, T phi)
 TkRotation ()
 TkRotation (T xx, T xy, T xz, T yx, T yy, T yz, T zx, T zy, T zz)
 TkRotation (const T *p)
 TkRotation (mathSSE::Rot3< T > const &irot)
 TkRotation (const GlobalVector &aX, const GlobalVector &aY)
 TkRotation (const GlobalVector &aX, const GlobalVector &aY, const GlobalVector &aZ)
 TkRotation (T xx, T xy, T xz, T yx, T yy, T yz, T zx, T zy, T zz)
 TkRotation (const Basic3DVector< T > &axis, T phi)
template<typename U >
 TkRotation (const TkRotation< U > &a)
 TkRotation (const T *p)
 TkRotation (const GlobalVector &aX, const GlobalVector &aY)
template<typename U >
 TkRotation (const TkRotation< U > &a)
 TkRotation (const BasicVector &aX, const BasicVector &aY)
 TkRotation (const GlobalVector &uX, const GlobalVector &uY, const GlobalVector &uZ)
 TkRotation (const GlobalVector &aX, const GlobalVector &aY)
 TkRotation (const BasicVector &uX, const BasicVector &uY, const BasicVector &uZ)
 TkRotation (const Basic3DVector< T > &axis, T phi)
template<typename U >
 TkRotation (const TkRotation< U > &a)
 TkRotation (const GlobalVector &aX, const GlobalVector &aY)
 TkRotation ()
 TkRotation (const BasicVector &aX, const BasicVector &aY)
 TkRotation ()
 TkRotation (mathSSE::Rot3< T > const &irot)
 TkRotation (T xx, T xy, T xz, T yx, T yy, T yz, T zx, T zy, T zz)
 TkRotation (const T *p)
 TkRotation (T xx, T xy, T xz, T yx, T yy, T yz, T zx, T zy, T zz)
 TkRotation (const GlobalVector &uX, const GlobalVector &uY, const GlobalVector &uZ)
 TkRotation (const BasicVector &uX, const BasicVector &uY, const BasicVector &uZ)
 TkRotation (const Basic3DVector< T > &axis, T phi)
 TkRotation (const GlobalVector &uX, const GlobalVector &uY, const GlobalVector &uZ)
 TkRotation (const BasicVector &aX, const BasicVector &aY)
template<typename U >
 TkRotation (const TkRotation< U > &a)
TkRotation & transform (const TkRotation &b)
TkRotation & transform (const TkRotation &b)
TkRotation & transform (const TkRotation &b)
TkRotation & transform (const TkRotation &b)
TkRotation transposed () const
TkRotation transposed () const
TkRotation transposed () const
TkRotation transposed () const
Basic3DVector< T > x () const
Basic3DVector< T > x () const
Basic3DVector< T > x () const
Basic3DVector< T > x () const
T const & xx () const
T xx () const
T xx () const
T xx () const
T xy () const
T const & xy () const
T xy () const
T xy () const
T xz () const
T const & xz () const
T xz () const
T xz () const
Basic3DVector< T > y () const
Basic3DVector< T > y () const
Basic3DVector< T > y () const
Basic3DVector< T > y () const
T yx () const
T yx () const
T yx () const
T const & yx () const
T yy () const
T yy () const
T yy () const
T const & yy () const
T const & yz () const
T yz () const
T yz () const
T yz () const
Basic3DVector< T > z () const
Basic3DVector< T > z () const
Basic3DVector< T > z () const
Basic3DVector< T > z () const
T zx () const
T zx () const
T zx () const
T const & zx () const
T zy () const
T zy () const
T const & zy () const
T zy () const
T zz () const
T zz () const
T const & zz () const
T zz () const

Private Attributes

T R11
T R12
T R13
T R21
T R22
T R23
T R31
T R32
T R33
mathSSE::Rot3< T > rot
Rot3< T > rot

Detailed Description

template<class T>
class TkRotation< T >

Rotaion matrix used by Surface.

Definition at line 32 of file extTkRotation.h.

Member Typedef Documentation

template<class T>
typedef Basic3DVector<T> TkRotation< T >::BasicVector

Definition at line 36 of file extTkRotation.h.

template<class T>
typedef Basic3DVector<T> TkRotation< T >::BasicVector

Definition at line 36 of file newTkRotation.h.

template<class T>
typedef Basic3DVector<T> TkRotation< T >::BasicVector

Definition at line 36 of file sseTkRotation.h.

template<class T>
typedef Vector3DBase< T, GlobalTag> TkRotation< T >::GlobalVector

Definition at line 34 of file oldTkRotation.h.

template<class T>
typedef Vector3DBase< T, GlobalTag> TkRotation< T >::GlobalVector

Definition at line 35 of file extTkRotation.h.

template<class T>
typedef Vector3DBase< T, GlobalTag> TkRotation< T >::GlobalVector

Definition at line 35 of file sseTkRotation.h.

template<class T>
typedef Vector3DBase< T, GlobalTag> TkRotation< T >::GlobalVector

Definition at line 35 of file newTkRotation.h.

Constructor & Destructor Documentation

template<class T>
TkRotation< T >::TkRotation ( ) [inline]

Definition at line 38 of file extTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotateAxes(), and TkRotation< align::Scalar >::transposed().

{}
template<class T>
TkRotation< T >::TkRotation ( Rot3< T > const &  irot) [inline]

Definition at line 39 of file extTkRotation.h.

: rot(irot){}
template<class T>
TkRotation< T >::TkRotation ( T  xx,
T  xy,
T  xz,
T  yx,
T  yy,
T  yz,
T  zx,
T  zy,
T  zz 
) [inline]

Definition at line 41 of file extTkRotation.h.

                                                                    :
    rot(xx,xy,xz, yx,yy,yz, zx, zy,zz){}
template<class T>
TkRotation< T >::TkRotation ( const T *  p) [inline]

Definition at line 44 of file extTkRotation.h.

                          : 
    rot(p[0],p[1],p[2], 
        p[3],p[4],p[5],
        p[6],p[7],p[8]) {}
template<class T>
TkRotation< T >::TkRotation ( const GlobalVector &  aX,
const GlobalVector &  aY 
) [inline]

Definition at line 49 of file extTkRotation.h.

                                                                 {
    
    GlobalVector uX = aX.unit();
    GlobalVector uY = aY.unit();
    GlobalVector uZ(uX.cross(uY));
    
    rot.axis[0]= uX.basicVector().v;
    rot.axis[1]= uY.basicVector().v;
    rot.axis[2]= uZ.basicVector().v;
    
  }
template<class T>
TkRotation< T >::TkRotation ( const BasicVector &  aX,
const BasicVector &  aY 
) [inline]

Definition at line 61 of file extTkRotation.h.

                                                               {
    
    BasicVector uX = aX.unit();
    BasicVector uY = aY.unit();
    BasicVector uZ(uX.cross(uY));
    
    rot.axis[0]= uX.v;
    rot.axis[1]= uY.v;
    rot.axis[2]= uZ.v;
    
  }
template<class T>
TkRotation< T >::TkRotation ( const GlobalVector &  uX,
const GlobalVector &  uY,
const GlobalVector &  uZ 
) [inline]

Construct from global vectors of the x, y and z axes. The axes are assumed to be unit vectors forming a right-handed orthonormal basis. No checks are performed!

Definition at line 78 of file extTkRotation.h.

                                       {
    rot.axis[0]= uX.basicVector().v;
    rot.axis[1]= uY.basicVector().v;
    rot.axis[2]= uZ.basicVector().v;
  }
template<class T>
TkRotation< T >::TkRotation ( const BasicVector &  uX,
const BasicVector &  uY,
const BasicVector &  uZ 
) [inline]

Definition at line 85 of file extTkRotation.h.

                                      {
    rot.axis[0]= uX.v;
    rot.axis[1]= uY.v;
    rot.axis[2]= uZ.v;
  }
template<class T>
TkRotation< T >::TkRotation ( const Basic3DVector< T > &  axis,
T  phi 
) [inline]

rotation around abritrary axis by the amount of phi: its constructed by O^-1(z<->axis) rot_z(phi) O(z<->axis) the frame is rotated such that the z-asis corresponds to the rotation axis desired. THen it's rotated round the "new" z-axis, and then the initial transformation is "taken back" again. unfortuately I'm too stupid to describe such thing directly by 3 Euler angles.. hence I have to construckt it this way...by brute force

Definition at line 101 of file extTkRotation.h.

                                                   :
    rot(  cos(phi), sin(phi), 0, 
          -sin(phi), cos(phi), 0,
          0,        0, 1) {
    
    //rotation around the z-axis by  phi
    TkRotation tmpRotz ( cos(axis.phi()), sin(axis.phi()), 0.,
                         -sin(axis.phi()), cos(axis.phi()), 0.,
                         0.,              0.,              1. );
    //rotation around y-axis by theta
    TkRotation tmpRoty ( cos(axis.theta()), 0.,-sin(axis.theta()),
                         0.,              1.,              0.,
                         sin(axis.theta()), 0., cos(axis.theta()) );
    (*this)*=tmpRoty;
    (*this)*=tmpRotz;      // =  this * tmpRoty * tmpRotz 
    
    // (tmpRoty * tmpRotz)^-1 * this * tmpRoty * tmpRotz
    
    *this = (tmpRoty*tmpRotz).multiplyInverse(*this);
    
  }
template<class T>
template<typename U >
TkRotation< T >::TkRotation ( const TkRotation< U > &  a) [inline]

Definition at line 156 of file extTkRotation.h.

                                      : 
    rot (a.xx(), a.xy(), a.xz(), 
         a.yx(), a.yy(), a.yz(),
         a.zx(), a.zy(), a.zz()) {}
template<class T>
TkRotation< T >::TkRotation ( ) [inline]

Definition at line 38 of file newTkRotation.h.

{}
template<class T>
TkRotation< T >::TkRotation ( mathSSE::Rot3< T > const &  irot) [inline]

Definition at line 39 of file newTkRotation.h.

: rot(irot){}
template<class T>
TkRotation< T >::TkRotation ( T  xx,
T  xy,
T  xz,
T  yx,
T  yy,
T  yz,
T  zx,
T  zy,
T  zz 
) [inline]

Definition at line 41 of file newTkRotation.h.

                                                                    :
    rot(xx,xy,xz, yx,yy,yz, zx, zy,zz){}
template<class T>
TkRotation< T >::TkRotation ( const T *  p) [inline]

Definition at line 44 of file newTkRotation.h.

                          : 
    rot(p[0],p[1],p[2], 
        p[3],p[4],p[5],
        p[6],p[7],p[8]) {}
template<class T>
TkRotation< T >::TkRotation ( const GlobalVector &  aX,
const GlobalVector &  aY 
) [inline]

Definition at line 49 of file newTkRotation.h.

                                                                 {
    
    GlobalVector uX = aX.unit();
    GlobalVector uY = aY.unit();
    GlobalVector uZ(uX.cross(uY));
    
    rot.axis[0]= uX.basicVector().v;
    rot.axis[1]= uY.basicVector().v;
    rot.axis[2]= uZ.basicVector().v;
    
  }
template<class T>
TkRotation< T >::TkRotation ( const BasicVector &  aX,
const BasicVector &  aY 
) [inline]

Definition at line 61 of file newTkRotation.h.

                                                               {
    
    BasicVector uX = aX.unit();
    BasicVector uY = aY.unit();
    BasicVector uZ(uX.cross(uY));
    
    rot.axis[0]= uX.v;
    rot.axis[1]= uY.v;
    rot.axis[2]= uZ.v;
    
  }
template<class T>
TkRotation< T >::TkRotation ( const GlobalVector &  uX,
const GlobalVector &  uY,
const GlobalVector &  uZ 
) [inline]

Construct from global vectors of the x, y and z axes. The axes are assumed to be unit vectors forming a right-handed orthonormal basis. No checks are performed!

Definition at line 78 of file newTkRotation.h.

                                       {
    rot.axis[0]= uX.basicVector().v;
    rot.axis[1]= uY.basicVector().v;
    rot.axis[2]= uZ.basicVector().v;
  }
template<class T>
TkRotation< T >::TkRotation ( const BasicVector &  uX,
const BasicVector &  uY,
const BasicVector &  uZ 
) [inline]

Definition at line 85 of file newTkRotation.h.

                                      {
    rot.axis[0]= uX.v;
    rot.axis[1]= uY.v;
    rot.axis[2]= uZ.v;
  }
template<class T>
TkRotation< T >::TkRotation ( const Basic3DVector< T > &  axis,
T  phi 
) [inline]

rotation around abritrary axis by the amount of phi: its constructed by O^-1(z<->axis) rot_z(phi) O(z<->axis) the frame is rotated such that the z-asis corresponds to the rotation axis desired. THen it's rotated round the "new" z-axis, and then the initial transformation is "taken back" again. unfortuately I'm too stupid to describe such thing directly by 3 Euler angles.. hence I have to construckt it this way...by brute force

Definition at line 101 of file newTkRotation.h.

                                                   :
    rot(  cos(phi), sin(phi), 0, 
          -sin(phi), cos(phi), 0,
          0,        0, 1) {
    
    //rotation around the z-axis by  phi
    TkRotation tmpRotz ( cos(axis.phi()), sin(axis.phi()), 0.,
                         -sin(axis.phi()), cos(axis.phi()), 0.,
                         0.,              0.,              1. );
    //rotation around y-axis by theta
    TkRotation tmpRoty ( cos(axis.theta()), 0.,-sin(axis.theta()),
                         0.,              1.,              0.,
                         sin(axis.theta()), 0., cos(axis.theta()) );
    (*this)*=tmpRoty;
    (*this)*=tmpRotz;      // =  this * tmpRoty * tmpRotz 
    
    // (tmpRoty * tmpRotz)^-1 * this * tmpRoty * tmpRotz
    
    *this = (tmpRoty*tmpRotz).multiplyInverse(*this);
    
  }
template<class T>
template<typename U >
TkRotation< T >::TkRotation ( const TkRotation< U > &  a) [inline]

Definition at line 156 of file newTkRotation.h.

                                      : 
    rot (a.xx(), a.xy(), a.xz(), 
         a.yx(), a.yy(), a.yz(),
         a.zx(), a.zy(), a.zz()) {}
template<class T>
TkRotation< T >::TkRotation ( ) [inline]

Definition at line 36 of file oldTkRotation.h.

               : 
    R11( 1), R12( 0), R13( 0), 
    R21( 0), R22( 1), R23( 0),
    R31( 0), R32( 0), R33( 1) {}
template<class T>
TkRotation< T >::TkRotation ( T  xx,
T  xy,
T  xz,
T  yx,
T  yy,
T  yz,
T  zx,
T  zy,
T  zz 
) [inline]

Definition at line 41 of file oldTkRotation.h.

                                                                    :
    R11(xx), R12(xy), R13(xz), 
    R21(yx), R22(yy), R23(yz),
    R31(zx), R32(zy), R33(zz) {}
template<class T>
TkRotation< T >::TkRotation ( const T *  p) [inline]

Definition at line 46 of file oldTkRotation.h.

                          :
    R11(p[0]), R12(p[1]), R13(p[2]), 
    R21(p[3]), R22(p[4]), R23(p[5]),
    R31(p[6]), R32(p[7]), R33(p[8]) {}
template<class T>
TkRotation< T >::TkRotation ( const GlobalVector &  aX,
const GlobalVector &  aY 
) [inline]

Definition at line 51 of file oldTkRotation.h.

                                                                 {

    GlobalVector uX = aX.unit();
    GlobalVector uY = aY.unit();
    GlobalVector uZ(uX.cross(uY));
 
    R11 = uX.x(); R12 = uX.y();  R13 = uX.z();
    R21 = uY.x(); R22 = uY.y();  R23 = uY.z();
    R31 = uZ.x(); R32 = uZ.y();  R33 = uZ.z();

  }
template<class T>
TkRotation< T >::TkRotation ( const GlobalVector &  aX,
const GlobalVector &  aY,
const GlobalVector &  aZ 
) [inline]

Construct from global vectors of the x, y and z axes. The axes are assumed to be unit vectors forming a right-handed orthonormal basis. No checks are performed!

Definition at line 67 of file oldTkRotation.h.

                                       :
    R11( aX.x()), R12( aX.y()), R13( aX.z()), 
    R21( aY.x()), R22( aY.y()), R23( aY.z()),
    R31( aZ.x()), R32( aZ.y()), R33( aZ.z()) {}
template<class T>
TkRotation< T >::TkRotation ( const Basic3DVector< T > &  axis,
T  phi 
) [inline]

rotation around abritrary axis by the amount of phi: its constructed by O^-1(z<->axis) rot_z(phi) O(z<->axis) the frame is rotated such that the z-asis corresponds to the rotation axis desired. THen it's rotated round the "new" z-axis, and then the initial transformation is "taken back" again. unfortuately I'm too stupid to describe such thing directly by 3 Euler angles.. hence I have to construckt it this way...by brute force

Definition at line 82 of file oldTkRotation.h.

                                                   :
    R11( cos(phi) ), R12( sin(phi)), R13( 0), 
    R21( -sin(phi)), R22( cos(phi)), R23( 0),
    R31( 0), R32( 0), R33( 1) {

    //rotation around the z-axis by  phi
    TkRotation tmpRotz ( cos(axis.phi()), sin(axis.phi()), 0.,
                        -sin(axis.phi()), cos(axis.phi()), 0.,
                         0.,              0.,              1. );
    //rotation around y-axis by theta
    TkRotation tmpRoty ( cos(axis.theta()), 0.,-sin(axis.theta()),
                         0.,              1.,              0.,
                         sin(axis.theta()), 0., cos(axis.theta()) );
    (*this)*=tmpRoty;
    (*this)*=tmpRotz;      // =  this * tmpRoty * tmpRotz 
   
    // (tmpRoty * tmpRotz)^-1 * this * tmpRoty * tmpRotz

    *this = (tmpRoty*tmpRotz).multiplyInverse(*this);

  }
template<class T>
template<typename U >
TkRotation< T >::TkRotation ( const TkRotation< U > &  a) [inline]

Definition at line 137 of file oldTkRotation.h.

                                      : 
    R11(a.xx()), R12(a.xy()), R13(a.xz()), 
    R21(a.yx()), R22(a.yy()), R23(a.yz()),
    R31(a.zx()), R32(a.zy()), R33(a.zz()) {}
template<class T>
TkRotation< T >::TkRotation ( ) [inline]

Definition at line 38 of file sseTkRotation.h.

{}
template<class T>
TkRotation< T >::TkRotation ( mathSSE::Rot3< T > const &  irot) [inline]

Definition at line 39 of file sseTkRotation.h.

: rot(irot){}
template<class T>
TkRotation< T >::TkRotation ( T  xx,
T  xy,
T  xz,
T  yx,
T  yy,
T  yz,
T  zx,
T  zy,
T  zz 
) [inline]

Definition at line 41 of file sseTkRotation.h.

                                                                    :
    rot(xx,xy,xz, yx,yy,yz, zx, zy,zz){}
template<class T>
TkRotation< T >::TkRotation ( const T *  p) [inline]

Definition at line 44 of file sseTkRotation.h.

                          : 
    rot(p[0],p[1],p[2], 
        p[3],p[4],p[5],
        p[6],p[7],p[8]) {}
template<class T>
TkRotation< T >::TkRotation ( const GlobalVector &  aX,
const GlobalVector &  aY 
) [inline]

Definition at line 49 of file sseTkRotation.h.

                                                                 {
    
    GlobalVector uX = aX.unit();
    GlobalVector uY = aY.unit();
    GlobalVector uZ(uX.cross(uY));
    
    rot.axis[0]= uX.basicVector().v;
    rot.axis[1]= uY.basicVector().v;
    rot.axis[2]= uZ.basicVector().v;
    
  }
template<class T>
TkRotation< T >::TkRotation ( const BasicVector &  aX,
const BasicVector &  aY 
) [inline]

Definition at line 61 of file sseTkRotation.h.

                                                               {
    
    BasicVector uX = aX.unit();
    BasicVector uY = aY.unit();
    BasicVector uZ(uX.cross(uY));
    
    rot.axis[0]= uX.v;
    rot.axis[1]= uY.v;
    rot.axis[2]= uZ.v;
    
  }
template<class T>
TkRotation< T >::TkRotation ( const GlobalVector &  uX,
const GlobalVector &  uY,
const GlobalVector &  uZ 
) [inline]

Construct from global vectors of the x, y and z axes. The axes are assumed to be unit vectors forming a right-handed orthonormal basis. No checks are performed!

Definition at line 78 of file sseTkRotation.h.

                                       {
    rot.axis[0]= uX.basicVector().v;
    rot.axis[1]= uY.basicVector().v;
    rot.axis[2]= uZ.basicVector().v;
  }
template<class T>
TkRotation< T >::TkRotation ( const BasicVector &  uX,
const BasicVector &  uY,
const BasicVector &  uZ 
) [inline]

Definition at line 85 of file sseTkRotation.h.

                                      {
    rot.axis[0]= uX.v;
    rot.axis[1]= uY.v;
    rot.axis[2]= uZ.v;
  }
template<class T>
TkRotation< T >::TkRotation ( const Basic3DVector< T > &  axis,
T  phi 
) [inline]

rotation around abritrary axis by the amount of phi: its constructed by O^-1(z<->axis) rot_z(phi) O(z<->axis) the frame is rotated such that the z-asis corresponds to the rotation axis desired. THen it's rotated round the "new" z-axis, and then the initial transformation is "taken back" again. unfortuately I'm too stupid to describe such thing directly by 3 Euler angles.. hence I have to construckt it this way...by brute force

Definition at line 101 of file sseTkRotation.h.

                                                   :
    rot(  cos(phi), sin(phi), 0, 
          -sin(phi), cos(phi), 0,
          0,        0, 1) {
    
    //rotation around the z-axis by  phi
    TkRotation tmpRotz ( cos(axis.phi()), sin(axis.phi()), 0.,
                         -sin(axis.phi()), cos(axis.phi()), 0.,
                         0.,              0.,              1. );
    //rotation around y-axis by theta
    TkRotation tmpRoty ( cos(axis.theta()), 0.,-sin(axis.theta()),
                         0.,              1.,              0.,
                         sin(axis.theta()), 0., cos(axis.theta()) );
    (*this)*=tmpRoty;
    (*this)*=tmpRotz;      // =  this * tmpRoty * tmpRotz 
    
    // (tmpRoty * tmpRotz)^-1 * this * tmpRoty * tmpRotz
    
    *this = (tmpRoty*tmpRotz).multiplyInverse(*this);
    
  }
template<class T>
template<typename U >
TkRotation< T >::TkRotation ( const TkRotation< U > &  a) [inline]

Definition at line 156 of file sseTkRotation.h.

                                      : 
    rot (a.xx(), a.xy(), a.xz(), 
         a.yx(), a.yy(), a.yz(),
         a.zx(), a.zy(), a.zz()) {}

Member Function Documentation

template<class T>
Basic3DVector<T> TkRotation< T >::multiplyInverse ( const Basic3DVector< T > &  v) const [inline]

Definition at line 178 of file extTkRotation.h.

Referenced by AlignableComposite::addAlignmentPositionErrorFromLocalRotation(), AlignableDetUnit::addAlignmentPositionErrorFromLocalRotation(), AlignableDetUnit::addAlignmentPositionErrorFromRotation(), AlignableComposite::addAlignmentPositionErrorFromRotation(), AlignableDet::addAlignmentPositionErrorFromRotation(), AlignmentParameterStore::applyAlignableAbsolutePositions(), align::diffAlignables(), align::diffRot(), KalmanAlignmentUserVariables::extractTrueParameters(), AlignableComposite::rotateInGlobalFrame(), MuonAlignmentInputXML::set_one_position(), TrackerGeometryCompare::setCommonTrackerSystem(), TkRotation< align::Scalar >::TkRotation(), GloballyPositioned< align::Scalar >::toGlobal(), and GloballyPositioned< T >::ToLocal::toLocal().

                                                                     {
    return rot.rotateBack(v.v);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::multiplyInverse ( const Basic2DVector< T > &  v) const [inline]

Definition at line 194 of file extTkRotation.h.

                                                                     {
    return Basic3DVector<T>( xx()*v.x() + yx()*v.y(),
                             xy()*v.x() + yy()*v.y(),
                             xz()*v.x() + yz()*v.y());
  }
template<class T>
Basic3DVector<T> TkRotation< T >::multiplyInverse ( const Basic2DVector< T > &  v) const [inline]

Definition at line 194 of file newTkRotation.h.

                                                                     {
    return Basic3DVector<T>( xx()*v.x() + yx()*v.y(),
                             xy()*v.x() + yy()*v.y(),
                             xz()*v.x() + yz()*v.y());
  }
template<class T>
TkRotation TkRotation< T >::multiplyInverse ( const TkRotation< T > &  b) const [inline]

Definition at line 205 of file newTkRotation.h.

                                                         {
    return rot.transpose()*b.rot;
  }
template<class T>
Basic3DVector<T> TkRotation< T >::multiplyInverse ( const Basic3DVector< T > &  v) const [inline]

Definition at line 178 of file sseTkRotation.h.

                                                                     {
    return rot.rotateBack(v.v);
  }
template<class T>
TkRotation TkRotation< T >::multiplyInverse ( const TkRotation< T > &  b) const [inline]

Definition at line 205 of file extTkRotation.h.

                                                         {
    return rot.transpose()*b.rot;
  }
template<class T>
template<class Scalar >
Basic3DVector<Scalar> TkRotation< T >::multiplyInverse ( const Basic3DVector< Scalar > &  v) const [inline]

Definition at line 183 of file sseTkRotation.h.

                                                                               {
    return Basic3DVector<Scalar>( xx()*v.x() + yx()*v.y() + zx()*v.z(),
                                  xy()*v.x() + yy()*v.y() + zy()*v.z(),
                                  xz()*v.x() + yz()*v.y() + zz()*v.z());
  }
template<class T>
Basic3DVector<T> TkRotation< T >::multiplyInverse ( const Basic2DVector< T > &  v) const [inline]

Definition at line 194 of file sseTkRotation.h.

                                                                     {
    return Basic3DVector<T>( xx()*v.x() + yx()*v.y(),
                             xy()*v.x() + yy()*v.y(),
                             xz()*v.x() + yz()*v.y());
  }
template<class T>
TkRotation TkRotation< T >::multiplyInverse ( const TkRotation< T > &  b) const [inline]

Definition at line 205 of file sseTkRotation.h.

                                                         {
    return rot.transpose()*b.rot;
  }
template<class T>
template<class Scalar >
Basic3DVector<Scalar> TkRotation< T >::multiplyInverse ( const Basic3DVector< Scalar > &  v) const [inline]

Definition at line 183 of file extTkRotation.h.

                                                                               {
    return Basic3DVector<Scalar>( xx()*v.x() + yx()*v.y() + zx()*v.z(),
                                  xy()*v.x() + yy()*v.y() + zy()*v.z(),
                                  xz()*v.x() + yz()*v.y() + zz()*v.z());
  }
template<class T>
Basic3DVector<T> TkRotation< T >::multiplyInverse ( const Basic3DVector< T > &  v) const [inline]

Definition at line 158 of file oldTkRotation.h.

                                                                     {
       return rotateBack(v);
   }
template<class T>
Basic3DVector<T> TkRotation< T >::multiplyInverse ( const Basic3DVector< T > &  v) const [inline]

Definition at line 178 of file newTkRotation.h.

                                                                     {
    return rot.rotateBack(v.v);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::multiplyInverse ( const Basic2DVector< T > &  v) const [inline]

Definition at line 174 of file oldTkRotation.h.

                                                                     {
    return Basic3DVector<T>( R11*v.x() + R21*v.y(),
                             R12*v.x() + R22*v.y(),
                             R13*v.x() + R23*v.y());
  }
template<class T>
TkRotation TkRotation< T >::multiplyInverse ( const TkRotation< T > &  b) const [inline]

Definition at line 194 of file oldTkRotation.h.

                                                         {
    return TkRotation(R11*b.R11 + R21*b.R21 + R31*b.R31,
                      R11*b.R12 + R21*b.R22 + R31*b.R32,
                      R11*b.R13 + R21*b.R23 + R31*b.R33,
                      R12*b.R11 + R22*b.R21 + R32*b.R31,
                      R12*b.R12 + R22*b.R22 + R32*b.R32,
                      R12*b.R13 + R22*b.R23 + R32*b.R33,
                      R13*b.R11 + R23*b.R21 + R33*b.R31,
                      R13*b.R12 + R23*b.R22 + R33*b.R32,
                      R13*b.R13 + R23*b.R23 + R33*b.R33);
  }
template<class T>
template<class Scalar >
Basic3DVector<Scalar> TkRotation< T >::multiplyInverse ( const Basic3DVector< Scalar > &  v) const [inline]

Definition at line 183 of file newTkRotation.h.

                                                                               {
    return Basic3DVector<Scalar>( xx()*v.x() + yx()*v.y() + zx()*v.z(),
                                  xy()*v.x() + yy()*v.y() + zy()*v.z(),
                                  xz()*v.x() + yz()*v.y() + zz()*v.z());
  }
template<class T>
Basic3DVector<T> TkRotation< T >::operator* ( const Basic2DVector< T > &  v) const [inline]

Definition at line 189 of file newTkRotation.h.

                                                               {
    return Basic3DVector<T>( xx()*v.x() + xy()*v.y(),
                             yx()*v.x() + yy()*v.y(),
                             zx()*v.x() + zy()*v.y());
  }
template<class T>
Basic3DVector<T> TkRotation< T >::operator* ( const Basic3DVector< T > &  v) const [inline]

Definition at line 174 of file extTkRotation.h.

Referenced by TkRotation< align::Scalar >::operator*=().

                                                               {
    return rot.rotate(v.v);
  }
template<class T>
TkRotation TkRotation< T >::operator* ( const TkRotation< T > &  b) const [inline]

Definition at line 202 of file newTkRotation.h.

                                                   {
    return rot*b.rot;
  }
template<class T>
TkRotation TkRotation< T >::operator* ( const TkRotation< T > &  b) const [inline]

Definition at line 202 of file extTkRotation.h.

                                                   {
    return rot*b.rot;
  }
template<class T>
Basic3DVector<T> TkRotation< T >::operator* ( const Basic3DVector< T > &  v) const [inline]

Definition at line 174 of file sseTkRotation.h.

                                                               {
    return rot.rotate(v.v);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::operator* ( const Basic2DVector< T > &  v) const [inline]

Definition at line 189 of file sseTkRotation.h.

                                                               {
    return Basic3DVector<T>( xx()*v.x() + xy()*v.y(),
                             yx()*v.x() + yy()*v.y(),
                             zx()*v.x() + zy()*v.y());
  }
template<class T>
TkRotation TkRotation< T >::operator* ( const TkRotation< T > &  b) const [inline]

Definition at line 202 of file sseTkRotation.h.

                                                   {
    return rot*b.rot;
  }
template<class T>
Basic3DVector<T> TkRotation< T >::operator* ( const Basic3DVector< T > &  v) const [inline]

Definition at line 148 of file oldTkRotation.h.

                                                               {
    return rotate(v);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::operator* ( const Basic3DVector< T > &  v) const [inline]

Definition at line 174 of file newTkRotation.h.

                                                               {
    return rot.rotate(v.v);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::operator* ( const Basic2DVector< T > &  v) const [inline]

Definition at line 169 of file oldTkRotation.h.

                                                               {
    return Basic3DVector<T>( R11*v.x() + R12*v.y(),
                             R21*v.x() + R22*v.y(),
                             R31*v.x() + R32*v.y());
  }
template<class T>
TkRotation TkRotation< T >::operator* ( const TkRotation< T > &  b) const [inline]

Definition at line 182 of file oldTkRotation.h.

                                                   {
    return TkRotation(R11*b.R11 + R12*b.R21 + R13*b.R31,
                      R11*b.R12 + R12*b.R22 + R13*b.R32,
                      R11*b.R13 + R12*b.R23 + R13*b.R33,
                      R21*b.R11 + R22*b.R21 + R23*b.R31,
                      R21*b.R12 + R22*b.R22 + R23*b.R32,
                      R21*b.R13 + R22*b.R23 + R23*b.R33,
                      R31*b.R11 + R32*b.R21 + R33*b.R31,
                      R31*b.R12 + R32*b.R22 + R33*b.R32,
                      R31*b.R13 + R32*b.R23 + R33*b.R33);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::operator* ( const Basic2DVector< T > &  v) const [inline]

Definition at line 189 of file extTkRotation.h.

                                                               {
    return Basic3DVector<T>( xx()*v.x() + xy()*v.y(),
                             yx()*v.x() + yy()*v.y(),
                             zx()*v.x() + zy()*v.y());
  }
template<class T>
TkRotation& TkRotation< T >::operator*= ( const TkRotation< T > &  b) [inline]

Definition at line 209 of file newTkRotation.h.

                                               {
    return *this = operator * (b);
  }
template<class T>
TkRotation& TkRotation< T >::operator*= ( const TkRotation< T > &  b) [inline]

Definition at line 209 of file sseTkRotation.h.

                                               {
    return *this = operator * (b);
  }
template<class T>
TkRotation& TkRotation< T >::operator*= ( const TkRotation< T > &  b) [inline]

Definition at line 209 of file extTkRotation.h.

                                               {
    return *this = operator * (b);
  }
template<class T>
TkRotation& TkRotation< T >::operator*= ( const TkRotation< T > &  b) [inline]

Definition at line 206 of file oldTkRotation.h.

                                               {
    return *this = operator * (b);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::rotate ( const Basic3DVector< T > &  v) const [inline]

Definition at line 165 of file sseTkRotation.h.

                                                            {
    return rot.rotate(v.v);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::rotate ( const Basic3DVector< T > &  v) const [inline]

Definition at line 165 of file extTkRotation.h.

Referenced by JacobianCurvilinearToLocal::compute(), and TkRotation< align::Scalar >::operator*().

                                                            {
    return rot.rotate(v.v);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::rotate ( const Basic3DVector< T > &  v) const [inline]

Definition at line 152 of file oldTkRotation.h.

                                                            {
    return Basic3DVector<T>( R11*v.x() + R12*v.y() + R13*v.z(),
                             R21*v.x() + R22*v.y() + R23*v.z(),
                             R31*v.x() + R32*v.y() + R33*v.z());
  }
template<class T>
Basic3DVector<T> TkRotation< T >::rotate ( const Basic3DVector< T > &  v) const [inline]

Definition at line 165 of file newTkRotation.h.

                                                            {
    return rot.rotate(v.v);
  }
template<class T>
TkRotation& TkRotation< T >::rotateAxes ( const Basic3DVector< T > &  newX,
const Basic3DVector< T > &  newY,
const Basic3DVector< T > &  newZ 
) [inline]

Definition at line 218 of file newTkRotation.h.

                                                        {
    T del = 0.001;
    
    if (
        
        // the check for right-handedness is not needed since
        // we want to change the handedness when it's left in cmsim
        //
        //       fabs(newZ.x()-w.x()) > del ||
        //       fabs(newZ.y()-w.y()) > del ||
        //       fabs(newZ.z()-w.z()) > del ||
        fabs(newX.mag2()-1.) > del ||
        fabs(newY.mag2()-1.) > del || 
        fabs(newZ.mag2()-1.) > del ||
        fabs(newX.dot(newY)) > del ||
        fabs(newY.dot(newZ)) > del ||
        fabs(newZ.dot(newX)) > del) {
      geometryDetails::TkRotationErr2();
      return *this;
    } else {
      return transform(TkRotation(newX.x(), newY.x(), newZ.x(),
                                  newX.y(), newY.y(), newZ.y(),
                                  newX.z(), newY.z(), newZ.z()));
    }
  }
template<class T>
TkRotation& TkRotation< T >::rotateAxes ( const Basic3DVector< T > &  newX,
const Basic3DVector< T > &  newY,
const Basic3DVector< T > &  newZ 
) [inline]

Definition at line 218 of file sseTkRotation.h.

                                                        {
    T del = 0.001;
    
    if (
        
        // the check for right-handedness is not needed since
        // we want to change the handedness when it's left in cmsim
        //
        //       fabs(newZ.x()-w.x()) > del ||
        //       fabs(newZ.y()-w.y()) > del ||
        //       fabs(newZ.z()-w.z()) > del ||
        fabs(newX.mag2()-1.) > del ||
        fabs(newY.mag2()-1.) > del || 
        fabs(newZ.mag2()-1.) > del ||
        fabs(newX.dot(newY)) > del ||
        fabs(newY.dot(newZ)) > del ||
        fabs(newZ.dot(newX)) > del) {
      geometryDetails::TkRotationErr2();
      return *this;
    } else {
      return transform(TkRotation(newX.x(), newY.x(), newZ.x(),
                                  newX.y(), newY.y(), newZ.y(),
                                  newX.z(), newY.z(), newZ.z()));
    }
  }
template<class T>
TkRotation& TkRotation< T >::rotateAxes ( const Basic3DVector< T > &  newX,
const Basic3DVector< T > &  newY,
const Basic3DVector< T > &  newZ 
) [inline]

Definition at line 218 of file extTkRotation.h.

Referenced by GEMGeometryBuilderFromCondDB::build(), RPCGeometryBuilderFromCondDB::build(), CSCGeometryBuilder::buildChamber(), RPCGeometryBuilderFromDDD::buildGeometry(), and GEMGeometryBuilderFromDDD::buildGeometry().

                                                        {
    T del = 0.001;
    
    if (
        
        // the check for right-handedness is not needed since
        // we want to change the handedness when it's left in cmsim
        //
        //       fabs(newZ.x()-w.x()) > del ||
        //       fabs(newZ.y()-w.y()) > del ||
        //       fabs(newZ.z()-w.z()) > del ||
        fabs(newX.mag2()-1.) > del ||
        fabs(newY.mag2()-1.) > del || 
        fabs(newZ.mag2()-1.) > del ||
        fabs(newX.dot(newY)) > del ||
        fabs(newY.dot(newZ)) > del ||
        fabs(newZ.dot(newX)) > del) {
      geometryDetails::TkRotationErr2();
      return *this;
    } else {
      return transform(TkRotation(newX.x(), newY.x(), newZ.x(),
                                  newX.y(), newY.y(), newZ.y(),
                                  newX.z(), newY.z(), newZ.z()));
    }
  }
template<class T>
TkRotation& TkRotation< T >::rotateAxes ( const Basic3DVector< T > &  newX,
const Basic3DVector< T > &  newY,
const Basic3DVector< T > &  newZ 
) [inline]

Definition at line 215 of file oldTkRotation.h.

                                                        {
    T del = 0.001;

    if (
        
        // the check for right-handedness is not needed since
        // we want to change the handedness when it's left in cmsim
        //
        //       fabs(newZ.x()-w.x()) > del ||
        //       fabs(newZ.y()-w.y()) > del ||
        //       fabs(newZ.z()-w.z()) > del ||
        fabs(newX.mag2()-1.) > del ||
        fabs(newY.mag2()-1.) > del || 
        fabs(newZ.mag2()-1.) > del ||
        fabs(newX.dot(newY)) > del ||
        fabs(newY.dot(newZ)) > del ||
        fabs(newZ.dot(newX)) > del) {
      geometryDetails::TkRotationErr2();
      return *this;
    } else {
      return transform(TkRotation(newX.x(), newY.x(), newZ.x(),
                                  newX.y(), newY.y(), newZ.y(),
                                  newX.z(), newY.z(), newZ.z()));
    }
  }
template<class T>
Basic3DVector<T> TkRotation< T >::rotateBack ( const Basic3DVector< T > &  v) const [inline]

Definition at line 169 of file sseTkRotation.h.

                                                                {
    return rot.rotateBack(v.v);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::rotateBack ( const Basic3DVector< T > &  v) const [inline]

Definition at line 169 of file extTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse().

                                                                {
    return rot.rotateBack(v.v);
  }
template<class T>
Basic3DVector<T> TkRotation< T >::rotateBack ( const Basic3DVector< T > &  v) const [inline]

Definition at line 162 of file oldTkRotation.h.

                                                                {
    return Basic3DVector<T>( R11*v.x() + R21*v.y() + R31*v.z(),
                             R12*v.x() + R22*v.y() + R32*v.z(),
                             R13*v.x() + R23*v.y() + R33*v.z());
  }
template<class T>
Basic3DVector<T> TkRotation< T >::rotateBack ( const Basic3DVector< T > &  v) const [inline]

Definition at line 169 of file newTkRotation.h.

                                                                {
    return rot.rotateBack(v.v);
  }
template<class T>
TkRotation& TkRotation< T >::transform ( const TkRotation< T > &  b) [inline]

Definition at line 214 of file newTkRotation.h.

                                             {
    return *this = b.operator * (*this);
  }
template<class T>
TkRotation& TkRotation< T >::transform ( const TkRotation< T > &  b) [inline]

Definition at line 214 of file extTkRotation.h.

Referenced by TkRotation< align::Scalar >::rotateAxes().

                                             {
    return *this = b.operator * (*this);
  }
template<class T>
TkRotation& TkRotation< T >::transform ( const TkRotation< T > &  b) [inline]

Definition at line 214 of file sseTkRotation.h.

                                             {
    return *this = b.operator * (*this);
  }
template<class T>
TkRotation& TkRotation< T >::transform ( const TkRotation< T > &  b) [inline]

Definition at line 211 of file oldTkRotation.h.

                                             {
    return *this = b.operator * (*this);
  }
template<class T>
TkRotation TkRotation< T >::transposed ( ) const [inline]

Definition at line 161 of file extTkRotation.h.

Referenced by BeamSpotAlignmentParameters::displacementFromAlignable(), RigidBodyAlignmentParameters::displacementFromAlignable(), MuonAlignmentInputXML::do_setposition(), TrackerAlignment::moveAlignableTIBTIDs(), MuonAlignment::recursiveCopySurveyToAlignment(), and MuonAlignmentOutputXML::writeComponents().

                                {
    return rot.transpose();
  }
template<class T>
TkRotation TkRotation< T >::transposed ( ) const [inline]

Definition at line 161 of file sseTkRotation.h.

                                {
    return rot.transpose();
  }
template<class T>
TkRotation TkRotation< T >::transposed ( ) const [inline]

Definition at line 142 of file oldTkRotation.h.

                                {
      return TkRotation( R11, R21, R31, 
                         R12, R22, R32,
                         R13, R23, R33);
  }
template<class T>
TkRotation TkRotation< T >::transposed ( ) const [inline]

Definition at line 161 of file newTkRotation.h.

                                {
    return rot.transpose();
  }
template<class T>
Basic3DVector<T> TkRotation< T >::x ( ) const [inline]

Definition at line 247 of file newTkRotation.h.

{ return rot.axis[0];}
template<class T>
Basic3DVector<T> TkRotation< T >::x ( ) const [inline]

Definition at line 247 of file sseTkRotation.h.

{ return rot.axis[0];}
template<class T>
Basic3DVector<T> TkRotation< T >::x ( ) const [inline]

Definition at line 247 of file extTkRotation.h.

Referenced by AlignmentParameterStore::acquireRelativeParameters(), and JacobianLocalToCurvilinear::compute().

{ return rot.axis[0];}
template<class T>
Basic3DVector<T> TkRotation< T >::x ( ) const [inline]

Definition at line 243 of file oldTkRotation.h.

{ return  Basic3DVector<T>(xx(),xy(),xz());}
template<class T>
T const& TkRotation< T >::xx ( ) const [inline]

Definition at line 248 of file oldTkRotation.h.

{ return R11;}
template<class T>
T TkRotation< T >::xx ( ) const [inline]

Definition at line 251 of file extTkRotation.h.

Referenced by AlignableModifier::addAlignmentPositionErrorLocal(), AlignableBeamSpot::alignments(), AlignableDet::alignments(), AlignableDetUnit::alignments(), SurveyResidual::calculate(), MuonAlignmentInputXML::do_setposition(), FWRecoGeometryESProducer::fillShapeAndPlacement(), TrackerGeometryCompare::fillTree(), MuonGeometryArrange::fillTree(), SurveyDBUploader::getSurveyInfo(), ApeSettingAlgorithm::initialize(), JacobianCartesianToLocal::JacobianCartesianToLocal(), JacobianLocalToCartesian::JacobianLocalToCartesian(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), TkRotation< align::Scalar >::operator*(), operator<< < double >(), operator<< < float >(), ConformalMappingFit::phiRot(), reco::BeamSpot::rotatedCovariance3D(), MuonAlignment::saveCSCSurveyToDB(), MuonAlignment::saveDTSurveyToDB(), ApeSettingAlgorithm::terminate(), TrackPropagation::tkRotationFToHepRotation(), align::toAngles(), FrameToFrameDerivative::transform(), ErrorFrameTransformer::transform(), AlignableDataIORoot::writeAbsRaw(), MuonAlignmentOutputXML::writeComponents(), AlignableDataIORoot::writeRelRaw(), and TkRotation< align::Scalar >::x().

{ return rot.axis[0][0];}
template<class T>
T TkRotation< T >::xx ( ) const [inline]

Definition at line 251 of file newTkRotation.h.

{ return rot.axis[0].arr[0];}
template<class T>
T TkRotation< T >::xx ( ) const [inline]

Definition at line 251 of file sseTkRotation.h.

{ return rot.axis[0].arr[0];}
template<class T>
T const& TkRotation< T >::xy ( ) const [inline]

Definition at line 249 of file oldTkRotation.h.

{ return R12;}
template<class T>
T TkRotation< T >::xy ( ) const [inline]

Definition at line 252 of file extTkRotation.h.

Referenced by AlignableModifier::addAlignmentPositionErrorLocal(), AlignableBeamSpot::alignments(), AlignableDet::alignments(), AlignableDetUnit::alignments(), SurveyResidual::calculate(), MuonAlignmentInputXML::do_setposition(), FWRecoGeometryESProducer::fillShapeAndPlacement(), MuonGeometryArrange::fillTree(), TrackerGeometryCompare::fillTree(), SurveyDBUploader::getSurveyInfo(), ApeSettingAlgorithm::initialize(), JacobianCartesianToLocal::JacobianCartesianToLocal(), JacobianLocalToCartesian::JacobianLocalToCartesian(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), TkRotation< align::Scalar >::operator*(), operator<< < double >(), operator<< < float >(), ConformalMappingFit::phiRot(), reco::BeamSpot::rotatedCovariance3D(), MuonAlignment::saveCSCSurveyToDB(), MuonAlignment::saveDTSurveyToDB(), ApeSettingAlgorithm::terminate(), TrackPropagation::tkRotationFToHepRotation(), align::toAngles(), FrameToFrameDerivative::transform(), ErrorFrameTransformer::transform(), AlignableDataIORoot::writeAbsRaw(), MuonAlignmentOutputXML::writeComponents(), AlignableDataIORoot::writeRelRaw(), and TkRotation< align::Scalar >::x().

{ return rot.axis[0][1];}
template<class T>
T TkRotation< T >::xy ( ) const [inline]

Definition at line 252 of file sseTkRotation.h.

{ return rot.axis[0].arr[1];}
template<class T>
T TkRotation< T >::xy ( ) const [inline]

Definition at line 252 of file newTkRotation.h.

{ return rot.axis[0].arr[1];}
template<class T>
T const& TkRotation< T >::xz ( ) const [inline]

Definition at line 250 of file oldTkRotation.h.

{ return R13;}
template<class T>
T TkRotation< T >::xz ( ) const [inline]

Definition at line 253 of file extTkRotation.h.

Referenced by AlignableModifier::addAlignmentPositionErrorLocal(), AlignableBeamSpot::alignments(), AlignableDet::alignments(), AlignableDetUnit::alignments(), SurveyResidual::calculate(), MuonAlignmentInputXML::do_setposition(), FWRecoGeometryESProducer::fillShapeAndPlacement(), MuonGeometryArrange::fillTree(), TrackerGeometryCompare::fillTree(), SurveyDBUploader::getSurveyInfo(), ApeSettingAlgorithm::initialize(), JacobianCartesianToLocal::JacobianCartesianToLocal(), JacobianLocalToCartesian::JacobianLocalToCartesian(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), operator<< < double >(), operator<< < float >(), reco::BeamSpot::rotatedCovariance3D(), MuonAlignment::saveCSCSurveyToDB(), MuonAlignment::saveDTSurveyToDB(), ApeSettingAlgorithm::terminate(), TrackPropagation::tkRotationFToHepRotation(), align::toAngles(), FrameToFrameDerivative::transform(), ErrorFrameTransformer::transform(), AlignableDataIORoot::writeAbsRaw(), MuonAlignmentOutputXML::writeComponents(), AlignableDataIORoot::writeRelRaw(), and TkRotation< align::Scalar >::x().

{ return rot.axis[0][2];}
template<class T>
T TkRotation< T >::xz ( ) const [inline]

Definition at line 253 of file newTkRotation.h.

{ return rot.axis[0].arr[2];}
template<class T>
T TkRotation< T >::xz ( ) const [inline]

Definition at line 253 of file sseTkRotation.h.

{ return rot.axis[0].arr[2];}
template<class T>
Basic3DVector<T> TkRotation< T >::y ( ) const [inline]

Definition at line 244 of file oldTkRotation.h.

{ return  Basic3DVector<T>(yx(),yy(),yz());}
template<class T>
Basic3DVector<T> TkRotation< T >::y ( ) const [inline]

Definition at line 248 of file newTkRotation.h.

{ return rot.axis[1];}
template<class T>
Basic3DVector<T> TkRotation< T >::y ( ) const [inline]

Definition at line 248 of file sseTkRotation.h.

{ return rot.axis[1];}
template<class T>
Basic3DVector<T> TkRotation< T >::y ( ) const [inline]

Definition at line 248 of file extTkRotation.h.

Referenced by JacobianLocalToCurvilinear::compute().

{ return rot.axis[1];}
template<class T>
T TkRotation< T >::yx ( ) const [inline]

Definition at line 254 of file extTkRotation.h.

Referenced by AlignableModifier::addAlignmentPositionErrorLocal(), AlignableBeamSpot::alignments(), AlignableDet::alignments(), AlignableDetUnit::alignments(), SurveyResidual::calculate(), FWRecoGeometryESProducer::fillShapeAndPlacement(), TrackerGeometryCompare::fillTree(), MuonGeometryArrange::fillTree(), SurveyDBUploader::getSurveyInfo(), ApeSettingAlgorithm::initialize(), JacobianCartesianToLocal::JacobianCartesianToLocal(), JacobianLocalToCartesian::JacobianLocalToCartesian(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), TkRotation< align::Scalar >::operator*(), operator<< < double >(), operator<< < float >(), reco::BeamSpot::rotatedCovariance3D(), MuonAlignment::saveCSCSurveyToDB(), MuonAlignment::saveDTSurveyToDB(), ApeSettingAlgorithm::terminate(), TrackPropagation::tkRotationFToHepRotation(), align::toAngles(), FrameToFrameDerivative::transform(), ErrorFrameTransformer::transform(), AlignableDataIORoot::writeAbsRaw(), AlignableDataIORoot::writeRelRaw(), and TkRotation< align::Scalar >::y().

{ return rot.axis[1][0];}
template<class T>
T const& TkRotation< T >::yx ( ) const [inline]

Definition at line 251 of file oldTkRotation.h.

{ return R21;}
template<class T>
T TkRotation< T >::yx ( ) const [inline]

Definition at line 254 of file newTkRotation.h.

{ return rot.axis[1].arr[0];}
template<class T>
T TkRotation< T >::yx ( ) const [inline]

Definition at line 254 of file sseTkRotation.h.

{ return rot.axis[1].arr[0];}
template<class T>
T const& TkRotation< T >::yy ( ) const [inline]

Definition at line 252 of file oldTkRotation.h.

{ return R22;}
template<class T>
T TkRotation< T >::yy ( ) const [inline]

Definition at line 255 of file extTkRotation.h.

Referenced by AlignableModifier::addAlignmentPositionErrorLocal(), AlignableBeamSpot::alignments(), AlignableDet::alignments(), AlignableDetUnit::alignments(), SurveyResidual::calculate(), FWRecoGeometryESProducer::fillShapeAndPlacement(), MuonGeometryArrange::fillTree(), TrackerGeometryCompare::fillTree(), SurveyDBUploader::getSurveyInfo(), ApeSettingAlgorithm::initialize(), JacobianCartesianToLocal::JacobianCartesianToLocal(), JacobianLocalToCartesian::JacobianLocalToCartesian(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), TkRotation< align::Scalar >::operator*(), operator<< < double >(), operator<< < float >(), reco::BeamSpot::rotatedCovariance3D(), MuonAlignment::saveCSCSurveyToDB(), MuonAlignment::saveDTSurveyToDB(), ApeSettingAlgorithm::terminate(), TrackPropagation::tkRotationFToHepRotation(), align::toAngles(), FrameToFrameDerivative::transform(), ErrorFrameTransformer::transform(), AlignableDataIORoot::writeAbsRaw(), AlignableDataIORoot::writeRelRaw(), and TkRotation< align::Scalar >::y().

{ return rot.axis[1][1];}
template<class T>
T TkRotation< T >::yy ( ) const [inline]

Definition at line 255 of file newTkRotation.h.

{ return rot.axis[1].arr[1];}
template<class T>
T TkRotation< T >::yy ( ) const [inline]

Definition at line 255 of file sseTkRotation.h.

{ return rot.axis[1].arr[1];}
template<class T>
T TkRotation< T >::yz ( ) const [inline]

Definition at line 256 of file newTkRotation.h.

{ return rot.axis[1].arr[2];}
template<class T>
T TkRotation< T >::yz ( ) const [inline]

Definition at line 256 of file extTkRotation.h.

Referenced by AlignableModifier::addAlignmentPositionErrorLocal(), AlignableBeamSpot::alignments(), AlignableDet::alignments(), AlignableDetUnit::alignments(), SurveyResidual::calculate(), MuonAlignmentInputXML::do_setposition(), FWRecoGeometryESProducer::fillShapeAndPlacement(), MuonGeometryArrange::fillTree(), TrackerGeometryCompare::fillTree(), SurveyDBUploader::getSurveyInfo(), ApeSettingAlgorithm::initialize(), JacobianCartesianToLocal::JacobianCartesianToLocal(), JacobianLocalToCartesian::JacobianLocalToCartesian(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), operator<< < double >(), operator<< < float >(), reco::BeamSpot::rotatedCovariance3D(), MuonAlignment::saveCSCSurveyToDB(), MuonAlignment::saveDTSurveyToDB(), ApeSettingAlgorithm::terminate(), TrackPropagation::tkRotationFToHepRotation(), align::toAngles(), FrameToFrameDerivative::transform(), ErrorFrameTransformer::transform(), AlignableDataIORoot::writeAbsRaw(), MuonAlignmentOutputXML::writeComponents(), AlignableDataIORoot::writeRelRaw(), and TkRotation< align::Scalar >::y().

{ return rot.axis[1][2];}
template<class T>
T const& TkRotation< T >::yz ( ) const [inline]

Definition at line 253 of file oldTkRotation.h.

{ return R23;}
template<class T>
T TkRotation< T >::yz ( ) const [inline]

Definition at line 256 of file sseTkRotation.h.

{ return rot.axis[1].arr[2];}
template<class T>
Basic3DVector<T> TkRotation< T >::z ( ) const [inline]

Definition at line 249 of file extTkRotation.h.

{ return rot.axis[2];}
template<class T>
Basic3DVector<T> TkRotation< T >::z ( ) const [inline]

Definition at line 245 of file oldTkRotation.h.

{ return  Basic3DVector<T>(zx(),zy(),zz());}
template<class T>
Basic3DVector<T> TkRotation< T >::z ( ) const [inline]

Definition at line 249 of file newTkRotation.h.

{ return rot.axis[2];}
template<class T>
Basic3DVector<T> TkRotation< T >::z ( ) const [inline]

Definition at line 249 of file sseTkRotation.h.

{ return rot.axis[2];}
template<class T>
T TkRotation< T >::zx ( ) const [inline]

Definition at line 257 of file newTkRotation.h.

{ return rot.axis[2].arr[0];}
template<class T>
T TkRotation< T >::zx ( ) const [inline]

Definition at line 257 of file extTkRotation.h.

Referenced by AlignableModifier::addAlignmentPositionErrorLocal(), AlignableBeamSpot::alignments(), AlignableDet::alignments(), AlignableDetUnit::alignments(), SurveyResidual::calculate(), FWRecoGeometryESProducer::fillShapeAndPlacement(), MuonGeometryArrange::fillTree(), TrackerGeometryCompare::fillTree(), SurveyDBUploader::getSurveyInfo(), ApeSettingAlgorithm::initialize(), JacobianCartesianToLocal::JacobianCartesianToLocal(), JacobianLocalToCartesian::JacobianLocalToCartesian(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), TkRotation< align::Scalar >::operator*(), operator<< < double >(), operator<< < float >(), reco::BeamSpot::rotatedCovariance3D(), MuonAlignment::saveCSCSurveyToDB(), MuonAlignment::saveDTSurveyToDB(), ApeSettingAlgorithm::terminate(), TrackPropagation::tkRotationFToHepRotation(), align::toAngles(), FrameToFrameDerivative::transform(), AlignableDataIORoot::writeAbsRaw(), AlignableDataIORoot::writeRelRaw(), and TkRotation< align::Scalar >::z().

{ return rot.axis[2][0];}
template<class T>
T const& TkRotation< T >::zx ( ) const [inline]

Definition at line 254 of file oldTkRotation.h.

{ return R31;}
template<class T>
T TkRotation< T >::zx ( ) const [inline]

Definition at line 257 of file sseTkRotation.h.

{ return rot.axis[2].arr[0];}
template<class T>
T TkRotation< T >::zy ( ) const [inline]

Definition at line 258 of file extTkRotation.h.

Referenced by AlignableModifier::addAlignmentPositionErrorLocal(), AlignableBeamSpot::alignments(), AlignableDet::alignments(), AlignableDetUnit::alignments(), SurveyResidual::calculate(), FWRecoGeometryESProducer::fillShapeAndPlacement(), MuonGeometryArrange::fillTree(), TrackerGeometryCompare::fillTree(), SurveyDBUploader::getSurveyInfo(), ApeSettingAlgorithm::initialize(), JacobianCartesianToLocal::JacobianCartesianToLocal(), JacobianLocalToCartesian::JacobianLocalToCartesian(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), TkRotation< align::Scalar >::operator*(), operator<< < double >(), operator<< < float >(), reco::BeamSpot::rotatedCovariance3D(), MuonAlignment::saveCSCSurveyToDB(), MuonAlignment::saveDTSurveyToDB(), ApeSettingAlgorithm::terminate(), TrackPropagation::tkRotationFToHepRotation(), align::toAngles(), FrameToFrameDerivative::transform(), AlignableDataIORoot::writeAbsRaw(), AlignableDataIORoot::writeRelRaw(), and TkRotation< align::Scalar >::z().

{ return rot.axis[2][1];}
template<class T>
T const& TkRotation< T >::zy ( ) const [inline]

Definition at line 255 of file oldTkRotation.h.

{ return R32;}
template<class T>
T TkRotation< T >::zy ( ) const [inline]

Definition at line 258 of file newTkRotation.h.

{ return rot.axis[2].arr[1];}
template<class T>
T TkRotation< T >::zy ( ) const [inline]

Definition at line 258 of file sseTkRotation.h.

{ return rot.axis[2].arr[1];}
template<class T>
T TkRotation< T >::zz ( ) const [inline]

Definition at line 259 of file extTkRotation.h.

Referenced by AlignableModifier::addAlignmentPositionErrorLocal(), AlignableBeamSpot::alignments(), AlignableDet::alignments(), AlignableDetUnit::alignments(), SurveyResidual::calculate(), MuonAlignmentInputXML::do_setposition(), FWRecoGeometryESProducer::fillShapeAndPlacement(), TrackerGeometryCompare::fillTree(), MuonGeometryArrange::fillTree(), SurveyDBUploader::getSurveyInfo(), ApeSettingAlgorithm::initialize(), JacobianCartesianToLocal::JacobianCartesianToLocal(), JacobianLocalToCartesian::JacobianLocalToCartesian(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), operator<< < double >(), operator<< < float >(), reco::BeamSpot::rotatedCovariance3D(), MuonAlignment::saveCSCSurveyToDB(), MuonAlignment::saveDTSurveyToDB(), ApeSettingAlgorithm::terminate(), TrackPropagation::tkRotationFToHepRotation(), align::toAngles(), FrameToFrameDerivative::transform(), AlignableDataIORoot::writeAbsRaw(), MuonAlignmentOutputXML::writeComponents(), AlignableDataIORoot::writeRelRaw(), and TkRotation< align::Scalar >::z().

{ return rot.axis[2][2];}
template<class T>
T TkRotation< T >::zz ( ) const [inline]

Definition at line 259 of file newTkRotation.h.

{ return rot.axis[2].arr[2];}
template<class T>
T const& TkRotation< T >::zz ( ) const [inline]

Definition at line 256 of file oldTkRotation.h.

{ return R33;}
template<class T>
T TkRotation< T >::zz ( ) const [inline]

Definition at line 259 of file sseTkRotation.h.

{ return rot.axis[2].arr[2];}

Member Data Documentation

template<class T>
T TkRotation< T >::R11 [private]

Definition at line 260 of file oldTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), and TkRotation< align::Scalar >::xx().

template<class T>
T TkRotation< T >::R12 [private]

Definition at line 260 of file oldTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), and TkRotation< align::Scalar >::xy().

template<class T>
T TkRotation< T >::R13 [private]

Definition at line 260 of file oldTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), and TkRotation< align::Scalar >::xz().

template<class T>
T TkRotation< T >::R21 [private]

Definition at line 261 of file oldTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), and TkRotation< align::Scalar >::yx().

template<class T>
T TkRotation< T >::R22 [private]

Definition at line 261 of file oldTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), and TkRotation< align::Scalar >::yy().

template<class T>
T TkRotation< T >::R23 [private]

Definition at line 261 of file oldTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), and TkRotation< align::Scalar >::yz().

template<class T>
T TkRotation< T >::R31 [private]

Definition at line 262 of file oldTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), and TkRotation< align::Scalar >::zx().

template<class T>
T TkRotation< T >::R32 [private]

Definition at line 262 of file oldTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), and TkRotation< align::Scalar >::zy().

template<class T>
T TkRotation< T >::R33 [private]

Definition at line 262 of file oldTkRotation.h.

Referenced by TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), and TkRotation< align::Scalar >::zz().

template<class T>
mathSSE::Rot3<T> TkRotation< T >::rot [private]

Definition at line 263 of file newTkRotation.h.

template<class T>
mathSSE::Rot3< T > TkRotation< T >::rot [private]

Definition at line 263 of file extTkRotation.h.

Referenced by AlignmentParameterStore::applyAlignableAbsolutePositions(), TkRotation< align::Scalar >::multiplyInverse(), TkRotation< align::Scalar >::operator*(), TkRotation< align::Scalar >::rotate(), TkRotation< align::Scalar >::rotateBack(), TkRotation< align::Scalar >::TkRotation(), TkRotation< align::Scalar >::transposed(), TkRotation< align::Scalar >::x(), TkRotation< align::Scalar >::xx(), TkRotation< align::Scalar >::xy(), TkRotation< align::Scalar >::xz(), TkRotation< align::Scalar >::y(), TkRotation< align::Scalar >::yx(), TkRotation< align::Scalar >::yy(), TkRotation< align::Scalar >::yz(), TkRotation< align::Scalar >::z(), TkRotation< align::Scalar >::zx(), TkRotation< align::Scalar >::zy(), and TkRotation< align::Scalar >::zz().

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