The TRotation class describes a rotation of objects of the TVector3 class.

It is a 3*3 matrix of Double_t:

| xx  xy  xz |
| yx  yy  yz |
| zx  zy  zz |

It describes a so called active rotation, i.e. rotation of objects inside a static system of coordinates. In case you want to rotate the frame and want to know the coordinates of objects in the rotated system, you should apply the inverse rotation to the objects. If you want to transform coordinates from the rotated frame to the original frame you have to apply the direct transformation.

A rotation around a specified axis means counterclockwise rotation around the positive direction of the axis.

Declaration, Access, Comparisons

TRotation r; // r initialized as identity

TRotation m(r); // m = r

r

ROOT::R::TRInterface & r

Definition: Object.C:4

TRotation

The TRotation class describes a rotation of objects of the TVector3 class.

Definition: TRotation.h:20

m

auto * m

Definition: textangle.C:8

There is no direct way to set the matrix elements - to ensure that a TRotation object always describes a real rotation. But you can get the values by the member functions XX()..ZZ() or the (,) operator:

Double_t xx = r.XX();     //  the same as xx=r(0,0)
         xx = r(0,0);
 
if (r==m) {...}          // test for equality
if (r!=m) {..}           // test for inequality
if (r.IsIdentity()) {...} // test for identity

Rotation around axes

The following matrices describe counterclockwise rotations around coordinate axes

        | 1   0      0     |
Rx(a) = | 0 cos(a) -sin(a) |
        | 0 sin(a) cos(a)  |
 
        | cos(a)  0 sin(a) |
Ry(a) = |   0     1   0    |
        | -sin(a) 0 cos(a) |
 
        | cos(a) -sin(a) 0 |
Rz(a) = | sin(a) cos(a) 0  |
        |   0     0     1  |

and are implemented as member functions RotateX(), RotateY() and RotateZ():

r.RotateX(TMath::Pi()); // rotation around the x-axis

TMath::Pi

constexpr Double_t Pi()

Definition: TMath.h:38

Rotation around arbitrary axis

The member function Rotate() allows to rotate around an arbitrary vector (not necessary a unit one) and returns the result.

r.Rotate(TMath::Pi()/3,TVector3(3,4,5));

TVector3

TVector3 is a general three vector class, which can be used for the description of different vectors ...

Definition: TVector3.h:22

It is possible to find a unit vector and an angle, which describe the same rotation as the current one:

Double_t angle;
TVector3 axis;
r.GetAngleAxis(angle,axis);

Rotation of local axes

Member function RotateAxes() adds a rotation of local axes to the current rotation and returns the result:

TVector3 newX(0,1,0);
TVector3 newY(0,0,1);
TVector3 newZ(1,0,0);
a.RotateAxes(newX,newY,newZ);

Member functions ThetaX(), ThetaY(), ThetaZ(), PhiX(), PhiY(),PhiZ() return azimuth and polar angles of the rotated axes:

Double_t tx,ty,tz,px,py,pz;
tx= a.ThetaX();
...
pz= a.PhiZ();

Setting The Rotations

The member function SetToIdentity() will set the rotation object to the identity (no rotation).

With a minor caveat, the Euler angles of the rotation may be set using SetXEulerAngles() or individually set with SetXPhi(), SetXTheta(), and SetXPsi(). These routines set the Euler angles using the X-convention which is defined by a rotation about the Z-axis, about the new X-axis, and about the new Z-axis. This is the convention used in Landau and Lifshitz, Goldstein and other common physics texts. The Y-convention Euler angles can be set with SetYEulerAngles(), SetYPhi(), SetYTheta(), and SetYPsi(). The caveat is that Euler angles usually define the rotation of the new coordinate system with respect to the original system, however, the TRotation class specifies the rotation of the object in the original system (an active rotation). To recover the usual Euler rotations (ie. rotate the system not the object), you must take the inverse of the rotation.

The member functions SetXAxis(), SetYAxis(), and SetZAxis() will create a rotation which rotates the requested axis of the object to be parallel to a vector. If used with one argument, the rotation about that axis is arbitrary. If used with two arguments, the second variable defines the XY, YZ, or ZX respectively.

Inverse rotation

TRotation a,b;
...
b = a.Inverse();  // b is inverse of a, a is unchanged
b = a.Invert();   // invert a and set b = a

Compound Rotations

The operator * has been implemented in a way that follows the mathematical notation of a product of the two matrices which describe the two consecutive rotations. Therefore the second rotation should be placed first:

r = r2 * r1;

Rotation of TVector3

The TRotation class provides an operator * which allows to express a rotation of a TVector3 analog to the mathematical notation

| x' |   | xx xy xz | | x |
| y' | = | yx yy yz | | y |
| z' |   | zx zy zz | | z |

e.g.:

TVector3 v(1,1,1);

v = r * v;

v

SVector< double, 2 > v

Definition: Dict.h:5

You can also use the Transform() member function or the operator *= of the TVector3 class:

TVector3 v;
TRotation r;
v.Transform(r);
v *= r;  //Attention v = r * v

Definition at line 20 of file TRotation.h.

Classes
class	TRotationRow

Public Member Functions
	TRotation ()
	Constructor. More...

	TRotation (const TQuaternion &)
	Constructor for a rotation based on a Quaternion if magnitude of quaternion is null, creates identity rotation if quaternion is non-unit, creates rotation corresponding to the normalized (unit) quaternion. More...

	TRotation (const TRotation &)
	Constructor. More...

virtual	~TRotation ()

void	AngleAxis (Double_t &, TVector3 &) const
	Rotation defined by an angle and a vector. More...

Double_t	GetXPhi (void) const
	Return phi angle. More...

Double_t	GetXPsi (void) const
	Get psi angle. More...

Double_t	GetXTheta (void) const
	Return XTheta. More...

Double_t	GetYPhi (void) const
	Return YPhi. More...

Double_t	GetYPsi (void) const
	Return YPsi. More...

Double_t	GetYTheta (void) const
	Return YTheta. More...

TRotation	Inverse () const

TRotation &	Invert ()

Bool_t	IsIdentity () const

void	MakeBasis (TVector3 &xAxis, TVector3 &yAxis, TVector3 &zAxis) const
	Make the Z axis into a unit variable. More...

Bool_t	operator!= (const TRotation &) const

Double_t	operator() (int, int) const
	Dereferencing operator const. More...

TRotation	operator* (const TRotation &) const
	Multiplication operator. More...

TVector3	operator* (const TVector3 &) const

TRotation &	operator*= (const TRotation &)

TRotation &	operator= (const TRotation &)

Bool_t	operator== (const TRotation &) const

TRotationRow	operator[] (int) const

Double_t	PhiX () const
	Return Phi. More...

Double_t	PhiY () const
	Return Phi. More...

Double_t	PhiZ () const
	Return Phi. More...

TRotation &	Rotate (Double_t, const TVector3 &)
	Rotate along an axis. More...

TRotation &	Rotate (Double_t, const TVector3 *)

TRotation &	RotateAxes (const TVector3 &newX, const TVector3 &newY, const TVector3 &newZ)
	Rotate axes. More...

TRotation &	RotateX (Double_t)
	Rotate around x. More...

TRotation &	RotateXEulerAngles (Double_t phi, Double_t theta, Double_t psi)
	Rotate using the x-convention. More...

TRotation &	RotateY (Double_t)
	Rotate around y. More...

TRotation &	RotateYEulerAngles (Double_t phi, Double_t theta, Double_t psi)
	Rotate using the y-convention. More...

TRotation &	RotateZ (Double_t)
	Rotate around z. More...

TRotation &	SetToIdentity ()

TRotation &	SetXAxis (const TVector3 &axis)
	Set X axis. More...

TRotation &	SetXAxis (const TVector3 &axis, const TVector3 &xyPlane)
	Set X axis. More...

TRotation &	SetXEulerAngles (Double_t phi, Double_t theta, Double_t psi)
	Rotate using the x-convention (Landau and Lifshitz, Goldstein, &c) by doing the explicit rotations. More...

void	SetXPhi (Double_t)
	Set XPhi. More...

void	SetXPsi (Double_t)
	Set XPsi. More...

void	SetXTheta (Double_t)
	Set XTheta. More...

TRotation &	SetYAxis (const TVector3 &axis)
	Set Y axis. More...

TRotation &	SetYAxis (const TVector3 &axis, const TVector3 &yzPlane)
	Set Y axis. More...

TRotation &	SetYEulerAngles (Double_t phi, Double_t theta, Double_t psi)
	Rotate using the y-convention. More...

void	SetYPhi (Double_t)
	Set YPhi. More...

void	SetYPsi (Double_t)
	Set YPsi. More...

void	SetYTheta (Double_t)
	Set YTheta. More...

TRotation &	SetZAxis (const TVector3 &axis)
	Set Z axis. More...

TRotation &	SetZAxis (const TVector3 &axis, const TVector3 &zxPlane)
	Set Z axis. More...

Double_t	ThetaX () const
	Return Theta. More...

Double_t	ThetaY () const
	Return Theta. More...

Double_t	ThetaZ () const
	Return Theta. More...

TRotation &	Transform (const TRotation &)

Double_t	XX () const

Double_t	XY () const

Double_t	XZ () const

Double_t	YX () const

Double_t	YY () const

Double_t	YZ () const

Double_t	ZX () const

Double_t	ZY () const

Double_t	ZZ () const

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...

Protected Member Functions
	TRotation (Double_t, Double_t, Double_t, Double_t, Double_t, Double_t, Double_t, Double_t, Double_t)
	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 ()

Protected Attributes
Double_t	fxx

Double_t	fxy

Double_t	fxz

Double_t	fyx

Double_t	fyy

Double_t	fyz

Double_t	fzx

Double_t	fzy

Double_t	fzz

Additional Inherited Members
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) }

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...

#include <TRotation.h>

Inheritance diagram for TRotation:

[legend]

Constructor & Destructor Documentation

◆ TRotation() [1/4]

TRotation::TRotation ( )

Constructor.

Definition at line 195 of file TRotation.cxx.

◆ TRotation() [2/4]

TRotation::TRotation ( const TRotation & m )

Constructor.

Definition at line 202 of file TRotation.cxx.

◆ TRotation() [3/4]

TRotation::TRotation ( const TQuaternion & Q )

Constructor for a rotation based on a Quaternion if magnitude of quaternion is null, creates identity rotation if quaternion is non-unit, creates rotation corresponding to the normalized (unit) quaternion.

Definition at line 258 of file TRotation.cxx.

◆ ~TRotation()

virtual TRotation::~TRotation ( )

inlinevirtual

Definition at line 44 of file TRotation.h.

◆ TRotation() [4/4]

TRotation::TRotation	(	Double_t	mxx,
		Double_t	mxy,
		Double_t	mxz,
		Double_t	myx,
		Double_t	myy,
		Double_t	myz,
		Double_t	mzx,
		Double_t	mzy,
		Double_t	mzz
	)

protected

Constructor.

Definition at line 209 of file TRotation.cxx.

Member Function Documentation

◆ AngleAxis()

void TRotation::AngleAxis	(	Double_t &	angle,
		TVector3 &	axis
	)		const

Rotation defined by an angle and a vector.

Definition at line 462 of file TRotation.cxx.

◆ GetXPhi()

Double_t TRotation::GetXPhi ( void ) const

Return phi angle.

Definition at line 578 of file TRotation.cxx.

◆ GetXPsi()

Double_t TRotation::GetXPsi ( void ) const

Get psi angle.

Definition at line 644 of file TRotation.cxx.

◆ GetXTheta()

Double_t TRotation::GetXTheta ( void ) const

Return XTheta.

Definition at line 630 of file TRotation.cxx.

◆ GetYPhi()

Double_t TRotation::GetYPhi ( void ) const

Return YPhi.

Definition at line 623 of file TRotation.cxx.

◆ GetYPsi()

Double_t TRotation::GetYPsi ( void ) const

Return YPsi.

Definition at line 690 of file TRotation.cxx.

◆ GetYTheta()

Double_t TRotation::GetYTheta ( void ) const

Return YTheta.

Definition at line 637 of file TRotation.cxx.

◆ Inverse()

TRotation TRotation::Inverse ( ) const

inline

Definition at line 271 of file TRotation.h.

◆ Invert()

TRotation & TRotation::Invert ( )

inline

Definition at line 275 of file TRotation.h.

◆ IsIdentity()

Bool_t TRotation::IsIdentity ( ) const

inline

Definition at line 245 of file TRotation.h.

◆ MakeBasis()

void TRotation::MakeBasis	(	TVector3 &	xAxis,
		TVector3 &	yAxis,
		TVector3 &	zAxis
	)		const

Make the Z axis into a unit variable.

Definition at line 766 of file TRotation.cxx.

◆ operator!=()

Bool_t TRotation::operator!= ( const TRotation & m ) const

inline

Definition at line 239 of file TRotation.h.

◆ operator()()

Double_t TRotation::operator()	(	int	i,
		int	j
	)		const

Dereferencing operator const.

Definition at line 218 of file TRotation.cxx.

◆ operator*() [1/2]

TRotation TRotation::operator* ( const TRotation & b ) const

Multiplication operator.

Definition at line 241 of file TRotation.cxx.

◆ operator*() [2/2]

TVector3 TRotation::operator* ( const TVector3 & p ) const

inline

Definition at line 257 of file TRotation.h.

◆ operator*=()

TRotation & TRotation::operator*= ( const TRotation & m )

inline

Definition at line 263 of file TRotation.h.

◆ operator=()

TRotation & TRotation::operator= ( const TRotation & m )

inline

Definition at line 220 of file TRotation.h.

◆ operator==()

Bool_t TRotation::operator== ( const TRotation & m ) const

inline

Definition at line 233 of file TRotation.h.

◆ operator[]()

TRotation::TRotationRow TRotation::operator[] ( int i ) const

inline

Definition at line 216 of file TRotation.h.

◆ PhiX()

Double_t TRotation::PhiX ( ) const

Return Phi.

Definition at line 420 of file TRotation.cxx.

◆ PhiY()

Double_t TRotation::PhiY ( ) const

Return Phi.

Definition at line 427 of file TRotation.cxx.

◆ PhiZ()

Double_t TRotation::PhiZ ( ) const

Return Phi.

Definition at line 434 of file TRotation.cxx.

◆ Rotate() [1/2]

TRotation & TRotation::Rotate	(	Double_t	a,
		const TVector3 &	axis
	)

Rotate along an axis.

Definition at line 324 of file TRotation.cxx.

◆ Rotate() [2/2]

TRotation & TRotation::Rotate	(	Double_t	psi,
		const TVector3 *	p
	)

inline

Definition at line 279 of file TRotation.h.

◆ RotateAxes()

TRotation & TRotation::RotateAxes	(	const TVector3 &	newX,
		const TVector3 &	newY,
		const TVector3 &	newZ
	)

Rotate axes.

Definition at line 393 of file TRotation.cxx.

◆ RotateX()

TRotation & TRotation::RotateX ( Double_t a )

Rotate around x.

Definition at line 345 of file TRotation.cxx.

◆ RotateXEulerAngles()

TRotation & TRotation::RotateXEulerAngles	(	Double_t	phi,
		Double_t	theta,
		Double_t	psi
	)

Rotate using the x-convention.

Definition at line 514 of file TRotation.cxx.

◆ RotateY()

TRotation & TRotation::RotateY ( Double_t a )

Rotate around y.

Definition at line 361 of file TRotation.cxx.

◆ RotateYEulerAngles()

TRotation & TRotation::RotateYEulerAngles	(	Double_t	phi,
		Double_t	theta,
		Double_t	psi
	)

Rotate using the y-convention.

Definition at line 525 of file TRotation.cxx.

◆ RotateZ()

TRotation & TRotation::RotateZ ( Double_t a )

Rotate around z.

Definition at line 377 of file TRotation.cxx.

◆ SetToIdentity()

TRotation & TRotation::SetToIdentity ( )

inline

Definition at line 251 of file TRotation.h.

◆ SetXAxis() [1/2]

TRotation & TRotation::SetXAxis ( const TVector3 & axis )

Set X axis.

Definition at line 712 of file TRotation.cxx.

◆ SetXAxis() [2/2]

TRotation & TRotation::SetXAxis	(	const TVector3 &	axis,
		const TVector3 &	xyPlane
	)

Set X axis.

Definition at line 697 of file TRotation.cxx.

◆ SetXEulerAngles()

TRotation & TRotation::SetXEulerAngles	(	Double_t	phi,
		Double_t	theta,
		Double_t	psi
	)

Rotate using the x-convention (Landau and Lifshitz, Goldstein, &c) by doing the explicit rotations.

This is slightly less efficient than directly applying the rotation, but makes the code much clearer. My presumption is that this code is not going to be a speed bottle neck.

Definition at line 487 of file TRotation.cxx.

◆ SetXPhi()

void TRotation::SetXPhi ( Double_t phi )

Set XPhi.

Definition at line 536 of file TRotation.cxx.

◆ SetXPsi()

void TRotation::SetXPsi ( Double_t psi )

Set XPsi.

Definition at line 550 of file TRotation.cxx.

◆ SetXTheta()

void TRotation::SetXTheta ( Double_t theta )

Set XTheta.

Definition at line 543 of file TRotation.cxx.

◆ SetYAxis() [1/2]

TRotation & TRotation::SetYAxis ( const TVector3 & axis )

Set Y axis.

Definition at line 735 of file TRotation.cxx.

◆ SetYAxis() [2/2]

TRotation & TRotation::SetYAxis	(	const TVector3 &	axis,
		const TVector3 &	yzPlane
	)

Set Y axis.

Definition at line 720 of file TRotation.cxx.

◆ SetYEulerAngles()

TRotation & TRotation::SetYEulerAngles	(	Double_t	phi,
		Double_t	theta,
		Double_t	psi
	)

Rotate using the y-convention.

Definition at line 501 of file TRotation.cxx.

◆ SetYPhi()

void TRotation::SetYPhi ( Double_t phi )

Set YPhi.

Definition at line 557 of file TRotation.cxx.

◆ SetYPsi()

void TRotation::SetYPsi ( Double_t psi )

Set YPsi.

Definition at line 571 of file TRotation.cxx.

◆ SetYTheta()

void TRotation::SetYTheta ( Double_t theta )

Set YTheta.

Definition at line 564 of file TRotation.cxx.

◆ SetZAxis() [1/2]

TRotation & TRotation::SetZAxis ( const TVector3 & axis )

Set Z axis.

Definition at line 758 of file TRotation.cxx.

◆ SetZAxis() [2/2]

TRotation & TRotation::SetZAxis	(	const TVector3 &	axis,
		const TVector3 &	zxPlane
	)

Set Z axis.

Definition at line 743 of file TRotation.cxx.

◆ ThetaX()

Double_t TRotation::ThetaX ( ) const

Return Theta.

Definition at line 441 of file TRotation.cxx.

◆ ThetaY()

Double_t TRotation::ThetaY ( ) const

Return Theta.

Definition at line 448 of file TRotation.cxx.

◆ ThetaZ()

Double_t TRotation::ThetaZ ( ) const

Return Theta.

Definition at line 455 of file TRotation.cxx.

◆ Transform()

TRotation & TRotation::Transform ( const TRotation & m )

inline

Definition at line 267 of file TRotation.h.

◆ XX()

Double_t TRotation::XX ( ) const

inline

Definition at line 190 of file TRotation.h.

◆ XY()

Double_t TRotation::XY ( ) const

inline

Definition at line 191 of file TRotation.h.

◆ XZ()

Double_t TRotation::XZ ( ) const

inline

Definition at line 192 of file TRotation.h.

◆ YX()

Double_t TRotation::YX ( ) const

inline

Definition at line 193 of file TRotation.h.

◆ YY()

Double_t TRotation::YY ( ) const

inline

Definition at line 194 of file TRotation.h.

◆ YZ()

Double_t TRotation::YZ ( ) const

inline

Definition at line 195 of file TRotation.h.

◆ ZX()

Double_t TRotation::ZX ( ) const

inline

Definition at line 196 of file TRotation.h.

◆ ZY()

Double_t TRotation::ZY ( ) const

inline

Definition at line 197 of file TRotation.h.

◆ ZZ()

Double_t TRotation::ZZ ( ) const

inline

Definition at line 198 of file TRotation.h.

Member Data Documentation

◆ fxx

Double_t TRotation::fxx

protected

Definition at line 182 of file TRotation.h.

◆ fxy

Double_t TRotation::fxy

protected

Definition at line 182 of file TRotation.h.

◆ fxz

Double_t TRotation::fxz

protected

Definition at line 182 of file TRotation.h.

◆ fyx

Double_t TRotation::fyx

protected

Definition at line 182 of file TRotation.h.

◆ fyy

Double_t TRotation::fyy

protected

Definition at line 182 of file TRotation.h.

◆ fyz

Double_t TRotation::fyz

protected

Definition at line 182 of file TRotation.h.

◆ fzx

Double_t TRotation::fzx

protected

Definition at line 182 of file TRotation.h.

◆ fzy

Double_t TRotation::fzy

protected

Definition at line 182 of file TRotation.h.

◆ fzz

Double_t TRotation::fzz

protected

Definition at line 182 of file TRotation.h.

Libraries for TRotation:

[legend]

Declaration, Access, Comparisons

Rotation around axes

Rotation around arbitrary axis

Rotation of local axes

Setting The Rotations

Inverse rotation

Compound Rotations

Rotation of TVector3

Classes

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ TRotation() [1/4]

◆ TRotation() [2/4]

◆ TRotation() [3/4]

◆ ~TRotation()

◆ TRotation() [4/4]

Member Function Documentation

◆ AngleAxis()

◆ GetXPhi()

◆ GetXPsi()

◆ GetXTheta()

◆ GetYPhi()

◆ GetYPsi()

◆ GetYTheta()

◆ Inverse()

◆ Invert()

◆ IsIdentity()

◆ MakeBasis()

◆ operator!=()

◆ operator()()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator=()

◆ operator==()

◆ operator[]()

◆ PhiX()

◆ PhiY()

◆ PhiZ()

◆ Rotate() [1/2]

◆ Rotate() [2/2]

◆ RotateAxes()

◆ RotateX()

◆ RotateXEulerAngles()

◆ RotateY()

◆ RotateYEulerAngles()

◆ RotateZ()

◆ SetToIdentity()

◆ SetXAxis() [1/2]

◆ SetXAxis() [2/2]

◆ SetXEulerAngles()

◆ SetXPhi()

◆ SetXPsi()

◆ SetXTheta()

◆ SetYAxis() [1/2]

◆ SetYAxis() [2/2]

◆ SetYEulerAngles()

◆ SetYPhi()

◆ SetYPsi()

◆ SetYTheta()

◆ SetZAxis() [1/2]

◆ SetZAxis() [2/2]

◆ ThetaX()

◆ ThetaY()

◆ ThetaZ()

◆ Transform()

◆ XX()

◆ XY()

◆ XZ()

◆ YX()

◆ YY()

◆ YZ()

◆ ZX()

◆ ZY()

◆ ZZ()

Member Data Documentation

◆ fxx