Geometrical transformation package.

All geometrical transformations handled by the modeller are provided as a built-in package. This was designed to minimize memory requirements and optimize performance of point/vector master-to-local and local-to-master computation. We need to have in mind that a transformation in TGeo has 2 major use-cases. The first one is for defining the placement of a volume with respect to its container reference frame. This frame will be called 'master' and the frame of the positioned volume - 'local'. If T is a transformation used for positioning volume daughters, then:

MASTER = T * LOCAL

double T(double x)

Definition: ChebyshevPol.h:34

Therefore a local-to-master conversion will be performed by using T, while a master-to-local by using its inverse. The second use case is the computation of the global transformation of a given object in the geometry. Since the geometry is built as 'volumes-inside-volumes', this global transformation represent the pile-up of all local transformations in the corresponding branch. The conversion from the global reference frame and the given object is also called master-to-local, but it is handled by the manager class. A general homogenous transformation is defined as a 4x4 matrix embedding a rotation, a translation and a scale. The advantage of this description is that each basic transformation can be represented as a homogenous matrix, composition being performed as simple matrix multiplication.

Rotation: Inverse rotation:

r11  r12  r13   0              r11  r21  r31   0
r21  r22  r23   0              r12  r22  r32   0
r31  r32  r33   0              r13  r23  r33   0
 0    0    0    1               0    0    0    1

Translation: Inverse translation:

  0    0    tx               1    0    0   -tx
  1    0    ty               0    1    0   -ty
  0    1    tz               0    0    1   -tz
  0    0    1                0    0    0   1

Scale: Inverse scale:

sx   0    0    0              1/sx  0    0    0
  sy   0    0               0   1/sy  0    0
  0    sz   0               0    0   1/sz  0
  0    0    1               0    0    0    1

where:

rij are the 3x3 rotation matrix components,
tx, ty, tz are the translation components
sx, sy, sz are arbitrary scale constants on each axis,

The disadvantage in using this approach is that computation for 4x4 matrices is expensive. Even combining two translation would become a multiplication of their corresponding matrices, which is quite an undesired effect. On the other hand, it is not a good idea to store a translation as a block of 16 numbers. We have therefore chosen to implement each basic transformation type as a class deriving from the same basic abstract class and handling its specific data and point/vector transformation algorithms.

The base class TGeoMatrix defines abstract metods for:

translation, rotation and scale getters. Every derived class stores only

its specific data, e.g. a translation stores an array of 3 doubles and a rotation an array of 9. However, asking which is the rotation array of a TGeoTranslation through the base TGeoMatrix interface is a legal operation. The answer in this case is a pointer to a global constant array representing an identity rotation.

Double_t *TGeoMatrix::GetTranslation()
Double_t *TGeoMatrix::GetRotation()
Double_t *TGeoMatrix::GetScale()

MasterToLocal() and LocalToMaster() point and vector transformations :

void      TGeoMatrix::MasterToLocal(const Double_t *master, Double_t *local)
void      TGeoMatrix::LocalToMaster(const Double_t *local, Double_t *master)
void      TGeoMatrix::MasterToLocalVect(const Double_t *master, Double_t *local)
void      TGeoMatrix::LocalToMasterVect(const Double_t *local, Double_t *master)

These allow correct conversion also for reflections.

Transformation type getters :

Bool_t    TGeoMatrix::IsIdentity()
Bool_t    TGeoMatrix::IsTranslation()
Bool_t    TGeoMatrix::IsRotation()
Bool_t    TGeoMatrix::IsScale()
Bool_t    TGeoMatrix::IsCombi() (translation + rotation)
Bool_t    TGeoMatrix::IsGeneral() (translation + rotation + scale)

Combinations of basic transformations are represented by specific classes deriving from TGeoMatrix. In order to define a matrix as a combination of several others, a special class TGeoHMatrix is provided. Here is an example of matrix creation :

Matrix creation example:

root[0] TGeoRotation r1,r2;
        r1.SetAngles(90,0,30);        // rotation defined by Euler angles
        r2.SetAngles(90,90,90,180,0,0); // rotation defined by GEANT3 angles
        TGeoTranslation t1(-10,10,0);
        TGeoTranslation t2(10,-10,5);
        TGeoCombiTrans c1(t1,r1);
        TGeoCombiTrans c2(t2,r2);
        TGeoHMatrix h = c1 * c2; // composition is done via TGeoHMatrix class
root[7] TGeoHMatrix *ph = new TGeoHMatrix(hm); // this is the one we want to
                                             // use for positioning a volume
root[8] ph->Print();
        ...
        pVolume->AddNode(pVolDaughter,id,ph) // now ph is owned by the manager

Rule for matrix creation:

Unless explicitly used for positioning nodes (TGeoVolume::AddNode()) all matrices deletion have to be managed by users. Matrices passed to geometry have to be created by using new() operator and their deletion is done by TGeoManager class.

Available geometrical transformations

TGeoTranslation

Represent a (dx,dy,dz) translation. Data members: Double_t fTranslation[3]. Translations can be added/subtracted.

TGeoTranslation t1;
t1->SetTranslation(-5,10,4);
TGeoTranslation *t2 = new TGeoTranslation(4,3,10);
t2->Subtract(&t1);

Rotations

Represent a pure rotation. Data members: Double_t fRotationMatrix[3*3]. Rotations can be defined either by Euler angles, either, by GEANT3 angles :

TGeoRotation *r1 = new TGeoRotation();

r1->SetAngles(phi, theta, psi); // all angles in degrees

This represent the composition of : first a rotation about Z axis with angle phi, then a rotation with theta about the rotated X axis, and finally a rotation with psi about the new Z axis.

r1->SetAngles(th1,phi1, th2,phi2, th3,phi3)

th3

auto * th3

Definition: textalign.C:21

th2

auto * th2

Definition: textalign.C:17

th1

auto * th1

Definition: textalign.C:13

This is a rotation defined in GEANT3 style. Theta and phi are the spherical angles of each axis of the rotated coordinate system with respect to the initial one. This construction allows definition of malformed rotations, e.g. not orthogonal. A check is performed and an error message is issued in this case.

Specific utilities : determinant, inverse.

Scale transformations

Represent a scale shrinking/enlargement. Data members :Double_t fScale[3]. Not fully implemented yet.

Combined transformations

Represent a rotation followed by a translation. Data members: Double_t fTranslation[3], TGeoRotation *fRotation.

TGeoRotation *rot = new TGeoRotation("rot",10,20,30);
TGeoTranslation trans;
...
TGeoCombiTrans *c1 = new TGeoCombiTrans(trans, rot);
TGeoCombiTrans *c2 = new TGeoCombiTrans("somename",10,20,30,rot)

TGeoGenTrans

Combined transformations including a scale. Not implemented.

TGeoIdentity

A generic singleton matrix representing a identity transformation NOTE: identified by the global variable gGeoIdentity.

Definition at line 40 of file TGeoMatrix.h.

Public Types
enum	EGeoTransfTypes { kGeoIdentity = 0 , kGeoShared = BIT(14) , kGeoTranslation = BIT(17) , kGeoRotation = BIT(18) , kGeoScale = BIT(19) , kGeoReflection = BIT(20) , kGeoRegistered = BIT(21) , kGeoSavePrimitive = BIT(22) , kGeoMatrixOwned = BIT(23) , kGeoCombiTrans = kGeoTranslation \| kGeoRotation , kGeoGenTrans = kGeoTranslation \| kGeoRotation \| kGeoScale , kGeoMatrixBits = kGeoShared \| kGeoGenTrans \| kGeoReflection \| kGeoRegistered \| kGeoSavePrimitive \| kGeoMatrixOwned }

Public Types inherited from TObject
enum	{ kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff }

enum	{ kSingleKey = BIT(0) , kOverwrite = BIT(1) , kWriteDelete = BIT(2) }

enum	EDeprecatedStatusBits { kObjInCanvas = BIT(3) }

enum	EStatusBits { kCanDelete = BIT(0) , kMustCleanup = BIT(3) , kIsReferenced = BIT(4) , kHasUUID = BIT(5) , kCannotPick = BIT(6) , kNoContextMenu = BIT(8) , kInvalidObject = BIT(13) }

Public Member Functions
	TGeoMatrix ()
	dummy constructor More...

	TGeoMatrix (const char *name)
	Constructor. More...

virtual	~TGeoMatrix ()
	Destructor. More...

virtual Int_t	GetByteCount () const
	Get total size in bytes of this. More...

void	GetHomogenousMatrix (Double_t *hmat) const
	The homogenous matrix associated with the transformation is used for piling up's and visualization. More...

char *	GetPointerName () const
	Provide a pointer name containing uid. More...

virtual const Double_t *	GetRotationMatrix () const =0

virtual const Double_t *	GetScale () const =0

virtual const Double_t *	GetTranslation () const =0

virtual TGeoHMatrix	Inverse () const =0

Bool_t	IsCombi () const

Bool_t	IsGeneral () const

Bool_t	IsIdentity () const

Bool_t	IsOwned () const

Bool_t	IsReflection () const

Bool_t	IsRegistered () const

Bool_t	IsRotAboutZ () const
	Returns true if no rotation or the rotation is about Z axis. More...

Bool_t	IsRotation () const

Bool_t	IsScale () const

Bool_t	IsShared () const

Bool_t	IsTranslation () const

virtual void	LocalToMaster (const Double_t local, Double_t master) const
	convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse More...

virtual void	LocalToMasterBomb (const Double_t local, Double_t master) const
	convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse More...

virtual void	LocalToMasterVect (const Double_t local, Double_t master) const
	convert a vector by multiplying its column vector (x, y, z, 1) to matrix inverse More...

virtual TGeoMatrix *	MakeClone () const =0

virtual void	MasterToLocal (const Double_t master, Double_t local) const
	convert a point by multiplying its column vector (x, y, z, 1) to matrix More...

virtual void	MasterToLocalBomb (const Double_t master, Double_t local) const
	convert a point by multiplying its column vector (x, y, z, 1) to matrix More...

virtual void	MasterToLocalVect (const Double_t master, Double_t local) const
	convert a point by multiplying its column vector (x, y, z, 1) to matrix More...

void	Print (Option_t *option="") const
	print the matrix in 4x4 format More...

virtual void	ReflectX (Bool_t leftside, Bool_t rotonly=kFALSE)
	Multiply by a reflection respect to YZ. More...

virtual void	ReflectY (Bool_t leftside, Bool_t rotonly=kFALSE)
	Multiply by a reflection respect to ZX. More...

virtual void	ReflectZ (Bool_t leftside, Bool_t rotonly=kFALSE)
	Multiply by a reflection respect to XY. More...

virtual void	RegisterYourself ()
	Register the matrix in the current manager, which will become the owner. More...

virtual void	RotateX (Double_t)

virtual void	RotateY (Double_t)

virtual void	RotateZ (Double_t)

void	SetDefaultName ()
	If no name was supplied in the ctor, the type of transformation is checked. More...

virtual void	SetDx (Double_t)

virtual void	SetDy (Double_t)

virtual void	SetDz (Double_t)

void	SetShared (Bool_t flag=kTRUE)

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TNamed &named)
	TNamed copy ctor. More...

	TNamed (const TString &name, const TString &title)

virtual	~TNamed ()
	TNamed destructor. More...

virtual void	Clear (Option_t *option="")
	Set name and title to empty strings (""). More...

virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility. More...

virtual Int_t	Compare (const TObject *obj) const
	Compare two TNamed objects. More...

virtual void	Copy (TObject &named) const
	Copy this to obj. More...

virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer. More...

virtual const char *	GetName () const
	Returns name of object. More...

virtual const char *	GetTitle () const
	Returns title of object. More...

virtual ULong_t	Hash () const
	Return hash value for this object. More...

virtual Bool_t	IsSortable () const

virtual void	ls (Option_t *option="") const
	List TNamed name and title. More...

TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator. More...

virtual void	Print (Option_t *option="") const
	Print TNamed name and title. More...

virtual void	SetName (const char *name)
	Set the name of the TNamed. More...

virtual void	SetNameTitle (const char name, const char title)
	Set all the TNamed parameters (name and title). More...

virtual void	SetTitle (const char *title="")
	Set the title of the TNamed. More...

virtual Int_t	Sizeof () const
	Return size of the TNamed part of the TObject. More...

Public Member Functions inherited from TObject
	TObject ()
	TObject constructor. More...

	TObject (const TObject &object)
	TObject copy ctor. More...

virtual	~TObject ()
	TObject destructor. More...

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract. More...

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad. More...

virtual void	Browse (TBrowser *b)
	Browse object. May be overridden for another default action. More...

ULong_t	CheckedHash ()
	Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object. More...

virtual const char *	ClassName () const
	Returns name of class to which the object belongs. More...

virtual void	Clear (Option_t *="")

virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility. More...

virtual Int_t	Compare (const TObject *obj) const
	Compare abstract method. More...

virtual void	Copy (TObject &object) const
	Copy this to obj. More...

virtual void	Delete (Option_t *option="")
	Delete this object. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Computes distance from point (px,py) to the object. More...

virtual void	Draw (Option_t *option="")
	Default Draw method for all objects. More...

virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs. More...

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad for instance with: `gROOT->SetSelectedPad(gPad)`. More...

virtual void	Dump () const
	Dump contents of object on stdout. More...

virtual void	Error (const char method, const char msgfmt,...) const
	Issue error message. More...

virtual void	Execute (const char method, const char params, Int_t *error=0)
	Execute method on this object with the given parameter string, e.g. More...

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=0)
	Execute method on this object with parameters stored in the TObjArray. More...

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to an event at (px,py). More...

virtual void	Fatal (const char method, const char msgfmt,...) const
	Issue fatal error message. More...

virtual TObject *	FindObject (const char *name) const
	Must be redefined in derived classes. More...

virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes. More...

virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object. More...

virtual const char *	GetIconName () const
	Returns mime type name of object. More...

virtual const char *	GetName () const
	Returns name of object. More...

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Returns string containing info about the object at position (px,py). More...

virtual Option_t *	GetOption () const

virtual const char *	GetTitle () const
	Returns title of object. More...

virtual UInt_t	GetUniqueID () const
	Return the unique object id. More...

virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out. More...

virtual ULong_t	Hash () const
	Return hash value for this object. More...

Bool_t	HasInconsistentHash () const
	Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e. More...

virtual void	Info (const char method, const char msgfmt,...) const
	Issue info message. More...

virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname". More...

virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl. More...

virtual void	Inspect () const
	Dump contents of this object in a graphics canvas. More...

void	InvertBit (UInt_t f)

virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory). More...

virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More...

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

virtual Bool_t	IsSortable () const

R__ALWAYS_INLINE Bool_t	IsZombie () const

virtual void	ls (Option_t *option="") const
	The ls function lists the contents of a class on stdout. More...

void	MayNotUse (const char *method) const
	Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary). More...

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification. More...

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete. More...

void	operator delete (void *ptr)
	Operator delete. More...

void	operator delete[] (void *ptr)
	Operator delete []. More...

void *	operator new (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz)

void *	operator new[] (size_t sz, void *vp)

TObject &	operator= (const TObject &rhs)
	TObject assignment operator. More...

virtual void	Paint (Option_t *option="")
	This method must be overridden if a class wants to paint itself. More...

virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list. More...

virtual void	Print (Option_t *option="") const
	This method must be overridden when a class wants to print itself. More...

virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory. More...

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list. More...

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const
	Save this object in the file specified by filename. More...

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out". More...

void	SetBit (UInt_t f)

void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f. More...

virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object. More...

virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id. More...

virtual void	SysError (const char method, const char msgfmt,...) const
	Issue system error message. More...

R__ALWAYS_INLINE Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

virtual void	UseCurrentStyle ()
	Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. More...

virtual void	Warning (const char method, const char msgfmt,...) const
	Issue warning message. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory. More...

Static Public Member Functions
static void	Normalize (Double_t *vect)
	Normalize a vector. More...

Static Public Member Functions inherited from TObject
static Long_t	GetDtorOnly ()
	Return destructor only flag. More...

static Bool_t	GetObjectStat ()
	Get status of object stat flag. More...

static void	SetDtorOnly (void *obj)
	Set destructor only flag. More...

static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable. More...

Protected Member Functions
	TGeoMatrix (const TGeoMatrix &other)
	copy constructor More...

Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected). More...

void	MakeZombie ()

Additional Inherited Members
Protected Types inherited from TObject
enum	{ kOnlyPrepStep = BIT(3) }

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

#include <TGeoMatrix.h>

Inheritance diagram for TGeoMatrix:

[legend]

Member Enumeration Documentation

◆ EGeoTransfTypes

enum TGeoMatrix::EGeoTransfTypes

Enumerator
kGeoIdentity
kGeoShared
kGeoTranslation
kGeoRotation
kGeoScale
kGeoReflection
kGeoRegistered
kGeoSavePrimitive
kGeoMatrixOwned
kGeoCombiTrans
kGeoGenTrans
kGeoMatrixBits

Definition at line 43 of file TGeoMatrix.h.

Constructor & Destructor Documentation

◆ TGeoMatrix() [1/3]

TGeoMatrix::TGeoMatrix ( const TGeoMatrix & other )

protected

copy constructor

Definition at line 239 of file TGeoMatrix.cxx.

◆ TGeoMatrix() [2/3]

TGeoMatrix::TGeoMatrix ( )

dummy constructor

Definition at line 231 of file TGeoMatrix.cxx.

◆ TGeoMatrix() [3/3]

TGeoMatrix::TGeoMatrix ( const char * name )

Constructor.

Definition at line 248 of file TGeoMatrix.cxx.

◆ ~TGeoMatrix()

TGeoMatrix::~TGeoMatrix ( )

virtual

Destructor.

Definition at line 256 of file TGeoMatrix.cxx.

Member Function Documentation

◆ GetByteCount()

Int_t TGeoMatrix::GetByteCount ( ) const

virtual

Get total size in bytes of this.

Definition at line 282 of file TGeoMatrix.cxx.

◆ GetHomogenousMatrix()

void TGeoMatrix::GetHomogenousMatrix ( Double_t * hmat ) const

The homogenous matrix associated with the transformation is used for piling up's and visualization.

A homogenous matrix is a 4*4 array containing the translation, the rotation and the scale components

| R00*sx  R01    R02    dx |
| R10    R11*sy  R12    dy |
| R20     R21   R22*sz  dz |
|  0       0      0      1 |

inline

Definition at line 71 of file TGeoMatrix.h.

◆ IsTranslation()

Bool_t TGeoMatrix::IsTranslation ( ) const

inline

Definition at line 67 of file TGeoMatrix.h.

◆ LocalToMaster()

void TGeoMatrix::LocalToMaster	(	const Double_t *	local,
		Double_t *	master
	)		const

virtual

convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse

Reimplemented in TGeoTranslation, TGeoRotation, TGeoScale, and TGeoIdentity.

Definition at line 339 of file TGeoMatrix.cxx.

◆ LocalToMasterBomb()

void TGeoMatrix::LocalToMasterBomb	(	const Double_t *	local,
		Double_t *	master
	)		const

virtual

convert a point by multiplying its column vector (x, y, z, 1) to matrix inverse

Reimplemented in TGeoTranslation, TGeoRotation, and TGeoIdentity.

Definition at line 380 of file TGeoMatrix.cxx.

◆ LocalToMasterVect()

void TGeoMatrix::LocalToMasterVect	(	const Double_t *	local,
		Double_t *	master
	)		const

virtual

convert a vector by multiplying its column vector (x, y, z, 1) to matrix inverse

Reimplemented in TGeoTranslation, TGeoRotation, TGeoScale, and TGeoIdentity.

Definition at line 363 of file TGeoMatrix.cxx.

◆ MakeClone()

virtual TGeoMatrix * TGeoMatrix::MakeClone ( ) const

pure virtual

Implemented in TGeoTranslation, TGeoRotation, TGeoScale, TGeoCombiTrans, TGeoGenTrans, TGeoIdentity, and TGeoHMatrix.

◆ MasterToLocal()

void TGeoMatrix::MasterToLocal	(	const Double_t *	master,
		Double_t *	local
	)		const

virtual

convert a point by multiplying its column vector (x, y, z, 1) to matrix

Reimplemented in TGeoTranslation, TGeoRotation, TGeoScale, and TGeoIdentity.

Definition at line 406 of file TGeoMatrix.cxx.

◆ MasterToLocalBomb()

void TGeoMatrix::MasterToLocalBomb	(	const Double_t *	master,
		Double_t *	local
	)		const

virtual

convert a point by multiplying its column vector (x, y, z, 1) to matrix

Reimplemented in TGeoTranslation, TGeoRotation, and TGeoIdentity.

Definition at line 448 of file TGeoMatrix.cxx.

◆ MasterToLocalVect()

void TGeoMatrix::MasterToLocalVect	(	const Double_t *	master,
		Double_t *	local
	)		const

virtual

convert a point by multiplying its column vector (x, y, z, 1) to matrix

Reimplemented in TGeoTranslation, TGeoRotation, TGeoScale, and TGeoIdentity.

Definition at line 431 of file TGeoMatrix.cxx.

◆ Normalize()

void TGeoMatrix::Normalize ( Double_t * vect )

static

Normalize a vector.

Definition at line 473 of file TGeoMatrix.cxx.

◆ Print()

void TGeoMatrix::Print ( Option_t * option = "" ) const

virtual

print the matrix in 4x4 format

Reimplemented from TNamed.

Definition at line 486 of file TGeoMatrix.cxx.

◆ ReflectX()

void TGeoMatrix::ReflectX	(	Bool_t	leftside,
		Bool_t	rotonly = `kFALSE`
	)

virtual

Multiply by a reflection respect to YZ.

Reimplemented in TGeoRotation, TGeoCombiTrans, TGeoHMatrix, and TGeoScale.

Definition at line 505 of file TGeoMatrix.cxx.

◆ ReflectY()

void TGeoMatrix::ReflectY	(	Bool_t	leftside,
		Bool_t	rotonly = `kFALSE`
	)

virtual

Multiply by a reflection respect to ZX.

Reimplemented in TGeoRotation, TGeoCombiTrans, TGeoHMatrix, and TGeoScale.

Definition at line 512 of file TGeoMatrix.cxx.

◆ ReflectZ()

void TGeoMatrix::ReflectZ	(	Bool_t	leftside,
		Bool_t	rotonly = `kFALSE`
	)

virtual

Multiply by a reflection respect to XY.

Reimplemented in TGeoRotation, TGeoCombiTrans, TGeoHMatrix, and TGeoScale.

Definition at line 519 of file TGeoMatrix.cxx.

◆ RegisterYourself()

void TGeoMatrix::RegisterYourself ( )

virtual

Register the matrix in the current manager, which will become the owner.

Reimplemented in TGeoCombiTrans.

Definition at line 526 of file TGeoMatrix.cxx.

◆ RotateX()

virtual void TGeoMatrix::RotateX ( Double_t )

inlinevirtual

Reimplemented in TGeoTranslation, TGeoRotation, TGeoCombiTrans, and TGeoHMatrix.

Definition at line 96 of file TGeoMatrix.h.

◆ RotateY()

virtual void TGeoMatrix::RotateY ( Double_t )

inlinevirtual

Reimplemented in TGeoTranslation, TGeoRotation, TGeoCombiTrans, and TGeoHMatrix.

Definition at line 97 of file TGeoMatrix.h.

◆ RotateZ()

virtual void TGeoMatrix::RotateZ ( Double_t )

inlinevirtual

Reimplemented in TGeoTranslation, TGeoRotation, TGeoCombiTrans, and TGeoHMatrix.

Definition at line 98 of file TGeoMatrix.h.

◆ SetDefaultName()

void TGeoMatrix::SetDefaultName ( )

If no name was supplied in the ctor, the type of transformation is checked.

A letter will be prepended to the name :

t - translation
r - rotation
s - scale
c - combi (translation + rotation)
g - general (tr+rot+scale) The index of the transformation in gGeoManager list of transformations will be appended.

Definition at line 549 of file TGeoMatrix.cxx.

◆ SetDx()

virtual void TGeoMatrix::SetDx ( Double_t )

inlinevirtual

Reimplemented in TGeoTranslation, TGeoCombiTrans, and TGeoHMatrix.

Definition at line 104 of file TGeoMatrix.h.

◆ SetDy()

virtual void TGeoMatrix::SetDy ( Double_t )

inlinevirtual

Reimplemented in TGeoTranslation, TGeoCombiTrans, and TGeoHMatrix.

Definition at line 105 of file TGeoMatrix.h.

◆ SetDz()

virtual void TGeoMatrix::SetDz ( Double_t )

inlinevirtual

Reimplemented in TGeoTranslation, TGeoCombiTrans, and TGeoHMatrix.

Definition at line 106 of file TGeoMatrix.h.

◆ SetShared()

void TGeoMatrix::SetShared ( Bool_t flag = kTRUE )

inline

Definition at line 107 of file TGeoMatrix.h.

Libraries for TGeoMatrix:

[legend]

The base class TGeoMatrix defines abstract metods for:

translation, rotation and scale getters. Every derived class stores only

MasterToLocal() and LocalToMaster() point and vector transformations :

Transformation type getters :

Matrix creation example:

Rule for matrix creation:

Available geometrical transformations

TGeoTranslation

Rotations

Scale transformations

Combined transformations

TGeoGenTrans

TGeoIdentity

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Additional Inherited Members

Member Enumeration Documentation

◆ EGeoTransfTypes

Constructor & Destructor Documentation

◆ TGeoMatrix() [1/3]

◆ TGeoMatrix() [2/3]

◆ TGeoMatrix() [3/3]

◆ ~TGeoMatrix()

Member Function Documentation

◆ GetByteCount()

◆ GetHomogenousMatrix()

◆ GetPointerName()

◆ GetRotationMatrix()

◆ GetScale()

◆ GetTranslation()

◆ Inverse()

◆ IsCombi()

◆ IsGeneral()

◆ IsIdentity()

◆ IsOwned()

◆ IsReflection()

◆ IsRegistered()

◆ IsRotAboutZ()

◆ IsRotation()

◆ IsScale()

◆ IsShared()

◆ IsTranslation()

◆ LocalToMaster()

◆ LocalToMasterBomb()

◆ LocalToMasterVect()

◆ MakeClone()

◆ MasterToLocal()

◆ MasterToLocalBomb()

◆ MasterToLocalVect()

◆ Normalize()

◆ Print()

◆ ReflectX()

◆ ReflectY()

◆ ReflectZ()

◆ RegisterYourself()

◆ RotateX()

◆ RotateY()

◆ RotateZ()

◆ SetDefaultName()

◆ SetDx()

◆ SetDy()

◆ SetDz()

◆ SetShared()