library: libGraf3d #include "TRotMatrix.h"

# TRotMatrix

class description - source file - inheritance tree (.pdf)

## class TRotMatrix : public TNamed

| Inheritance Chart:
`TObject`
| <- | `TNamed`
| <- | `TRotMatrix` |

        private:

          virtual void SetReflection()

        public:

                                  TRotMatrix()
                                  TRotMatrix(const char* name, const char* title, Double_t* matrix)
                                  TRotMatrix(const char* name, const char* title, Double_t theta, Double_t phi, Double_t psi)
                                  TRotMatrix(const char* name, const char* title, Double_t theta1, Double_t phi1, Double_t theta2, Double_t phi2, Double_t theta3, Double_t phi3)
                                  TRotMatrix(const TRotMatrix&)
                          virtual ~TRotMatrix()
                   static TClass* Class()
                 virtual Double_t Determinant() const
                virtual Double_t* GetGLMatrix(Double_t* rGLMatrix) const
                virtual Double_t* GetMatrix()
                    virtual Int_t GetNumber() const
                 virtual Double_t GetPhi() const
                 virtual Double_t GetPsi() const
                 virtual Double_t GetTheta() const
                    virtual Int_t GetType() const
                  virtual TClass* IsA() const
                   virtual Bool_t IsReflection() const
                      TRotMatrix& operator=(const TRotMatrix&)
          virtual const Double_t* SetAngles(Double_t theta1, Double_t phi1, Double_t theta2, Double_t phi2, Double_t theta3, Double_t phi3) const
                     virtual void SetMatrix(const Double_t* matrix)
                     virtual void SetName(const char* name)
                     virtual void ShowMembers(TMemberInspector& insp, char* parent)
                     virtual void Streamer(TBuffer& b)
                             void StreamerNVirtual(TBuffer& b)

### Data Members

        protected:

             Int_t fNumber     Rotation matrix number
             Int_t fType       Type of matrix (0=identity, 1=reflexion, 2=otherwise)
          Double_t fTheta      theta angle
          Double_t fPhi        phi angle
          Double_t fPsi        psi angle
          Double_t fMatrix[9]  Rotation matrix

## Class Description

     Manages a detector rotation matrix. See class TGeometry.

TRotMatrix()

    *-*-*-*-*-*-*-*-*-*-*RotMatrix default constructor*-*-*-*-*-*-*-*-*-*-*-*
    *-*                  ============================

TRotMatrix(const char *name, const char *title, Double_t *matrix) :TNamed(name,title)

TRotMatrix(const char *name, const char *title, Double_t theta, Double_t phi, Double_t psi) :TNamed(name,title)

    *-*-*-*-*-*-*-*-*-*-*RotMatrix normal constructor*-*-*-*-*-*-*-*-*-*-*-*-*
    *-*                  ============================

TRotMatrix(const char *name, const char *title, Double_t theta1, Double_t phi1 , Double_t theta2, Double_t phi2 , Double_t theta3, Double_t phi3) :TNamed(name,title)

    *-*-*-*-*-*RotMatrix normal constructor defined a la GEANT*-*-*-*-*-*-*
    *-*        ===============================================

     The TRotMatrix constructor with six angles uses the GEANT convention:

     theta1 is the polar angle of the x-prim axis in the main reference system
     (MRS), theta2 and theta3 have the same meaning for the y-prim and z-prim
     axis.

     Phi1 is the azimuthal angle of the x-prim in the MRS and phi2 and phi3
     have the same meaning for y-prim and z-prim.

     for example, the unit matrix is defined in the following way.

         x-prim || x, y-prim || y, z-prim || z

         means:  theta1=90, theta2=90, theta3=0, phi1=0, phi2=90, phi3=0

~TRotMatrix()

    *-*-*-*-*-*-*-*-*-*-*RotMatrix default destructor*-*-*-*-*-*-*-*-*-*-*-*-*
    *-*                  ============================

Double_t Determinant() const

    *-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
    *-*
    *-*  Determinant() returns the value of the determiant of this matrix
    *-*
    *-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*

Double_t* GetGLMatrix(Double_t *rGLMatrix) const

    *-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
    *-*  Convert this matrix to the OpenGL [4x4]
    *-*
    *-*  [  fMatrix[0]   fMatrix[1]   fMatrix[2]    0  ]
    *-*  [  fMatrix[3]   fMatrix[4]   fMatrix[5]    0  ]
    *-*  [  fMatrix[6]   fMatrix[7]   fMatrix[8]    0  ]
    *-*  [     0             0           0          1  ]
    *-*
    *-*  Input:
    *-*  -----
    *-*  Double_t *rGLMatrix - pointer to Double_t 4x4 buffer array
    *-*
    *-*  Return:
    *-*  ------
    *-*  Double_t pointer to the input buffer
    *-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*

const Double_t* SetAngles(Double_t theta1, Double_t phi1, Double_t theta2, Double_t phi2,Double_t theta3, Double_t phi3)

     theta1 is the polar angle of the x-prim axis in the main reference system
     (MRS), theta2 and theta3 have the same meaning for the y-prim and z-prim
     axis.

     Phi1 is the azimuthal angle of the x-prim in the MRS and phi2 and phi3
     have the same meaning for y-prim and z-prim.

     for example, the unit matrix is defined in the following way.

         x-prim || x, y-prim || y, z-prim || z

         means:  theta1=90, theta2=90, theta3=0, phi1=0, phi2=90, phi3=0

void SetMatrix(const Double_t *matrix)

     copy predefined 3x3 matrix into TRotMatrix object

void SetReflection()

    *-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
    *-*  SetReflection() -  checks whether the determinant of this
    *-*                     matrix defines the reflection transformation
    *-*                     and set the "reflection" flag if any
    *-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*

void Streamer(TBuffer &R__b)

     Stream an object of class TRotMatrix.

### Inline Functions

              Double_t* GetMatrix()
                  Int_t GetNumber() const
                  Int_t GetType() const
               Double_t GetTheta() const
               Double_t GetPhi() const
               Double_t GetPsi() const
                 Bool_t IsReflection() const
                   void SetName(const char* name)
                TClass* Class()
                TClass* IsA() const
                   void ShowMembers(TMemberInspector& insp, char* parent)
                   void StreamerNVirtual(TBuffer& b)
             TRotMatrix TRotMatrix(const TRotMatrix&)
            TRotMatrix& operator=(const TRotMatrix&)

Author: Rene Brun 14/09/95
Last update: root/g3d:$Name: $:$Id: TRotMatrix.cxx,v 1.3 2000/11/21 20:18:03 brun Exp $
Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *