THelix has two different constructors.
If a particle with charge q passes through a point (x,y,z) with momentum (px,py,pz) with magnetic field B along an axis (nx,ny,nz), this helix can be constructed like:
A helix in its own frame can be defined with a pivotal point (x0,y0,z0), the velocity at that point (vx0,vy0,vz0), and an angular frequency w. Combining vx0 and vy0 to a transverse velocity vt0 one can parametrize the helix as:
The second constructor has 6 parameters,
Example:
where:
Example constructing a helix with several default values and drawing it:
This initializes a helix with its axis in Z direction (rtype=kHelixZ).
Public Member Functions | |
THelix () | |
Helix default constructor. | |
THelix (const THelix &helix) | |
Helix copy constructor. | |
THelix (Double_t const *xyz, Double_t const *v, Double_t w, Double_t const *range=nullptr, EHelixRangeType rtype=kHelixZ, Double_t const *axis=nullptr) | |
Helix normal constructor. | |
THelix (Double_t x, Double_t y, Double_t z, Double_t vx, Double_t vy, Double_t vz, Double_t w) | |
Helix normal constructor. | |
~THelix () override | |
Helix destructor. | |
void | Copy (TObject &helix) const override |
Copy this helix to obj. | |
void | Draw (Option_t *option="") override |
Draw this helix with its current attributes. | |
Option_t * | GetOption () const override |
TClass * | IsA () const override |
void | Print (Option_t *option="") const override |
Dump this helix with its attributes. | |
void | SavePrimitive (std::ostream &out, Option_t *option="") override |
Save primitive as a C++ statement(s) on output stream out. | |
virtual void | SetAxis (Double_t const *axis) |
Set a new axis for the helix. This will make a new rotation matrix. | |
virtual void | SetAxis (Double_t x, Double_t y, Double_t z) |
Set axis. | |
void | SetHelix (Double_t const *xyz, Double_t const *v, Double_t w, Double_t const *range=nullptr, EHelixRangeType type=kUnchanged, Double_t const *axis=nullptr) |
Set all helix parameters. | |
void | SetOption (Option_t *option="") override |
virtual void | SetRange (Double_t *range, EHelixRangeType rtype=kHelixZ) |
Set a new range for the helix. This will remake the polyline. | |
virtual void | SetRange (Double_t r1, Double_t r2, EHelixRangeType rtype=kHelixZ) |
Set range. | |
void | Streamer (TBuffer &) override |
Stream an object of class THelix. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
Public Member Functions inherited from TPolyLine3D | |
TPolyLine3D () | |
3-D polyline default constructor. | |
TPolyLine3D (const TPolyLine3D &polylin) | |
3-D polyline copy ctor. | |
TPolyLine3D (Int_t n, Double_t const *p, Option_t *option="") | |
3-D polyline normal constructor. | |
TPolyLine3D (Int_t n, Double_t const *x, Double_t const *y, Double_t const *z, Option_t *option="") | |
3-D polyline normal constructor. | |
TPolyLine3D (Int_t n, Float_t const *p, Option_t *option="") | |
3-D polyline normal constructor. | |
TPolyLine3D (Int_t n, Float_t const *x, Float_t const *y, Float_t const *z, Option_t *option="") | |
3-D polyline normal constructor. | |
TPolyLine3D (Int_t n, Option_t *option="") | |
3-D polyline normal constructor with initialization to 0. | |
~TPolyLine3D () override | |
3-D polyline destructor. | |
void | Copy (TObject &polyline) const override |
Copy polyline to polyline obj. | |
Int_t | DistancetoPrimitive (Int_t px, Int_t py) override |
Compute distance from point px,py to a 3-D polyline. | |
void | Draw (Option_t *option="") override |
Draw this 3-D polyline with its current attributes. | |
virtual void | DrawPolyLine (Int_t n, Float_t *p, Option_t *option="") |
Draw 3-D polyline with new coordinates. | |
void | ExecuteEvent (Int_t event, Int_t px, Int_t py) override |
Execute action corresponding to one event. | |
Int_t | GetLastPoint () const |
Int_t | GetN () const |
Option_t * | GetOption () const override |
Float_t * | GetP () const |
TClass * | IsA () const override |
void | ls (Option_t *option="") const override |
List this 3-D polyline. | |
virtual Int_t | Merge (TCollection *list) |
Merge polylines in the collection in this polyline. | |
TPolyLine3D & | operator= (const TPolyLine3D &polylin) |
assignment operator | |
void | Paint (Option_t *option="") override |
Paint a TPolyLine3D. | |
void | Print (Option_t *option="") const override |
Dump this 3-D polyline with its attributes on stdout. | |
void | SavePrimitive (std::ostream &out, Option_t *option="") override |
Save primitive as a C++ statement(s) on output stream. | |
virtual Int_t | SetNextPoint (Double_t x, Double_t y, Double_t z) |
Set point following LastPoint to x, y, z. | |
virtual void | SetPoint (Int_t point, Double_t x, Double_t y, Double_t z) |
Set point n to x, y, z. | |
virtual void | SetPolyLine (Int_t n, Double_t *p, Option_t *option="") |
Re-initialize polyline with n points from p. | |
virtual void | SetPolyLine (Int_t n, Float_t *p, Option_t *option="") |
Re-initialize polyline with n points from p. | |
virtual void | SetPolyLine (Int_t n, Option_t *option="") |
Re-initialize polyline with n points (0,0,0). | |
virtual Int_t | Size () const |
void | Streamer (TBuffer &) override |
Stream a 3-D polyline object. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
Public Member Functions inherited from TObject | |
TObject () | |
TObject constructor. | |
TObject (const TObject &object) | |
TObject copy ctor. | |
virtual | ~TObject () |
TObject destructor. | |
void | AbstractMethod (const char *method) const |
Use this method to implement an "abstract" method that you don't want to leave purely abstract. | |
virtual void | AppendPad (Option_t *option="") |
Append graphics object to current pad. | |
virtual void | Browse (TBrowser *b) |
Browse object. May be overridden for another default action. | |
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. | |
virtual const char * | ClassName () const |
Returns name of class to which the object belongs. | |
virtual void | Clear (Option_t *="") |
virtual TObject * | Clone (const char *newname="") const |
Make a clone of an object using the Streamer facility. | |
virtual Int_t | Compare (const TObject *obj) const |
Compare abstract method. | |
virtual void | Delete (Option_t *option="") |
Delete this object. | |
virtual void | DrawClass () const |
Draw class inheritance tree of the class to which this object belongs. | |
virtual TObject * | DrawClone (Option_t *option="") const |
Draw a clone of this object in the current selected pad with: gROOT->SetSelectedPad(c1) . | |
virtual void | Dump () const |
Dump contents of object on stdout. | |
virtual void | Error (const char *method, const char *msgfmt,...) const |
Issue error message. | |
virtual void | Execute (const char *method, const char *params, Int_t *error=nullptr) |
Execute method on this object with the given parameter string, e.g. | |
virtual void | Execute (TMethod *method, TObjArray *params, Int_t *error=nullptr) |
Execute method on this object with parameters stored in the TObjArray. | |
virtual void | Fatal (const char *method, const char *msgfmt,...) const |
Issue fatal error message. | |
virtual TObject * | FindObject (const char *name) const |
Must be redefined in derived classes. | |
virtual TObject * | FindObject (const TObject *obj) const |
Must be redefined in derived classes. | |
virtual Option_t * | GetDrawOption () const |
Get option used by the graphics system to draw this object. | |
virtual const char * | GetIconName () const |
Returns mime type name of object. | |
virtual const char * | GetName () const |
Returns name of object. | |
virtual char * | GetObjectInfo (Int_t px, Int_t py) const |
Returns string containing info about the object at position (px,py). | |
virtual const char * | GetTitle () const |
Returns title of object. | |
virtual UInt_t | GetUniqueID () const |
Return the unique object id. | |
virtual Bool_t | HandleTimer (TTimer *timer) |
Execute action in response of a timer timing out. | |
virtual ULong_t | Hash () const |
Return hash value for this object. | |
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. | |
virtual void | Info (const char *method, const char *msgfmt,...) const |
Issue info message. | |
virtual Bool_t | InheritsFrom (const char *classname) const |
Returns kTRUE if object inherits from class "classname". | |
virtual Bool_t | InheritsFrom (const TClass *cl) const |
Returns kTRUE if object inherits from TClass cl. | |
virtual void | Inspect () const |
Dump contents of this object in a graphics canvas. | |
void | InvertBit (UInt_t f) |
Bool_t | IsDestructed () const |
IsDestructed. | |
virtual Bool_t | IsEqual (const TObject *obj) const |
Default equal comparison (objects are equal if they have the same address in memory). | |
virtual Bool_t | IsFolder () const |
Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). | |
R__ALWAYS_INLINE Bool_t | IsOnHeap () const |
virtual Bool_t | IsSortable () const |
R__ALWAYS_INLINE Bool_t | IsZombie () const |
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). | |
virtual Bool_t | Notify () |
This method must be overridden to handle object notification (the base implementation is no-op). | |
void | Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const |
Use this method to declare a method obsolete. | |
void | operator delete (void *ptr) |
Operator delete. | |
void | operator delete (void *ptr, void *vp) |
Only called by placement new when throwing an exception. | |
void | operator delete[] (void *ptr) |
Operator delete []. | |
void | operator delete[] (void *ptr, void *vp) |
Only called by placement new[] when throwing an exception. | |
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. | |
virtual void | Pop () |
Pop on object drawn in a pad to the top of the display list. | |
virtual Int_t | Read (const char *name) |
Read contents of object with specified name from the current directory. | |
virtual void | RecursiveRemove (TObject *obj) |
Recursively remove this object from a list. | |
void | ResetBit (UInt_t f) |
virtual void | SaveAs (const char *filename="", Option_t *option="") const |
Save this object in the file specified by filename. | |
void | SetBit (UInt_t f) |
void | SetBit (UInt_t f, Bool_t set) |
Set or unset the user status bits as specified in f. | |
virtual void | SetDrawOption (Option_t *option="") |
Set drawing option for object. | |
virtual void | SetUniqueID (UInt_t uid) |
Set the unique object id. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
virtual void | SysError (const char *method, const char *msgfmt,...) const |
Issue system error message. | |
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. | |
virtual void | Warning (const char *method, const char *msgfmt,...) const |
Issue warning message. | |
virtual Int_t | Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) |
Write this object to the current directory. | |
virtual Int_t | Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const |
Write this object to the current directory. | |
Public Member Functions inherited from TAttLine | |
TAttLine () | |
AttLine default constructor. | |
TAttLine (Color_t lcolor, Style_t lstyle, Width_t lwidth) | |
AttLine normal constructor. | |
virtual | ~TAttLine () |
AttLine destructor. | |
void | Copy (TAttLine &attline) const |
Copy this line attributes to a new TAttLine. | |
Int_t | DistancetoLine (Int_t px, Int_t py, Double_t xp1, Double_t yp1, Double_t xp2, Double_t yp2) |
Compute distance from point px,py to a line. | |
virtual Color_t | GetLineColor () const |
Return the line color. | |
virtual Style_t | GetLineStyle () const |
Return the line style. | |
virtual Width_t | GetLineWidth () const |
Return the line width. | |
virtual void | Modify () |
Change current line attributes if necessary. | |
virtual void | ResetAttLine (Option_t *option="") |
Reset this line attributes to default values. | |
virtual void | SaveLineAttributes (std::ostream &out, const char *name, Int_t coldef=1, Int_t stydef=1, Int_t widdef=1) |
Save line attributes as C++ statement(s) on output stream out. | |
virtual void | SetLineAttributes () |
Invoke the DialogCanvas Line attributes. | |
virtual void | SetLineColor (Color_t lcolor) |
Set the line color. | |
virtual void | SetLineColorAlpha (Color_t lcolor, Float_t lalpha) |
Set a transparent line color. | |
virtual void | SetLineStyle (Style_t lstyle) |
Set the line style. | |
virtual void | SetLineWidth (Width_t lwidth) |
Set the line width. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
Public Member Functions inherited from TAtt3D | |
TAtt3D () | |
virtual | ~TAtt3D () |
virtual void | Sizeof3D () const |
Set total size of this 3D object (used by X3D interface). | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
Static Public Member Functions | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
Static Public Member Functions inherited from TPolyLine3D | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
static void | DrawOutlineCube (TList *outline, Double_t *rmin, Double_t *rmax) |
Draw cube outline with 3d polylines. | |
Static Public Member Functions inherited from TObject | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
static Longptr_t | GetDtorOnly () |
Return destructor only flag. | |
static Bool_t | GetObjectStat () |
Get status of object stat flag. | |
static void | SetDtorOnly (void *obj) |
Set destructor only flag. | |
static void | SetObjectStat (Bool_t stat) |
Turn on/off tracking of objects in the TObjectTable. | |
Static Public Member Functions inherited from TAttLine | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
Static Public Member Functions inherited from TAtt3D | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
Protected Member Functions | |
Double_t | FindClosestPhase (Double_t phi0, Double_t cosine) |
Finds the closest phase to phi0 that gives cos(phase) = cosine. | |
THelix & | operator= (const THelix &) |
assignment operator | |
void | SetRotMatrix () |
Set the rotational matrix according to the helix axis. | |
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). | |
void | MakeZombie () |
Protected Attributes | |
Double_t | fAxis [3] |
Double_t | fPhi0 |
Double_t | fRange [2] |
TRotMatrix * | fRotMat |
Double_t | fVt |
Double_t | fVz |
Double_t | fW |
Double_t | fX0 |
Double_t | fY0 |
Double_t | fZ0 |
Protected Attributes inherited from TPolyLine3D | |
Int_t | fLastPoint {-1} |
The index of the last filled point. | |
Int_t | fN {0} |
Number of points. | |
TString | fOption |
options | |
Float_t * | fP {nullptr} |
[3*fN] Array of 3-D coordinates (x,y,z) | |
Protected Attributes inherited from TAttLine | |
Color_t | fLineColor |
Line color. | |
Style_t | fLineStyle |
Line style. | |
Width_t | fLineWidth |
Line width. | |
Static Protected Attributes | |
static Int_t | fgMinNSeg =5 |
Additional Inherited Members | |
Public Types inherited from TObject | |
enum | { kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff } |
enum | { kSingleKey = (1ULL << ( 0 )) , kOverwrite = (1ULL << ( 1 )) , kWriteDelete = (1ULL << ( 2 )) } |
enum | EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) } |
enum | EStatusBits { kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) , kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 )) } |
Protected Types inherited from TObject | |
enum | { kOnlyPrepStep = (1ULL << ( 3 )) } |
#include <THelix.h>
THelix::THelix | ( | ) |
Helix default constructor.
Definition at line 121 of file THelix.cxx.
THelix::THelix | ( | Double_t | x, |
Double_t | y, | ||
Double_t | z, | ||
Double_t | vx, | ||
Double_t | vy, | ||
Double_t | vz, | ||
Double_t | w | ||
) |
Helix normal constructor.
Definition at line 134 of file THelix.cxx.
THelix::THelix | ( | Double_t const * | xyz, |
Double_t const * | v, | ||
Double_t | w, | ||
Double_t const * | range = nullptr , |
||
EHelixRangeType | rtype = kHelixZ , |
||
Double_t const * | axis = nullptr |
||
) |
Helix normal constructor.
Definition at line 156 of file THelix.cxx.
THelix::THelix | ( | const THelix & | helix | ) |
Helix copy constructor.
Definition at line 236 of file THelix.cxx.
|
override |
Helix destructor.
Definition at line 227 of file THelix.cxx.
|
static |
|
inlinestaticconstexpr |
|
overridevirtual |
|
inlinestatic |
|
overridevirtual |
Draw this helix with its current attributes.
Reimplemented from TObject.
Definition at line 281 of file THelix.cxx.
Finds the closest phase to phi0 that gives cos(phase) = cosine.
Definition at line 598 of file THelix.cxx.
|
inlineoverridevirtual |
|
inlineoverridevirtual |
assignment operator
Definition at line 203 of file THelix.cxx.
|
overridevirtual |
Dump this helix with its attributes.
Reimplemented from TObject.
Definition at line 290 of file THelix.cxx.
|
overridevirtual |
Save primitive as a C++ statement(s) on output stream out.
Reimplemented from TObject.
Definition at line 299 of file THelix.cxx.
|
virtual |
Set a new axis for the helix. This will make a new rotation matrix.
Definition at line 323 of file THelix.cxx.
Set axis.
Definition at line 348 of file THelix.cxx.
void THelix::SetHelix | ( | Double_t const * | xyz, |
Double_t const * | v, | ||
Double_t | w, | ||
Double_t const * | range = nullptr , |
||
EHelixRangeType | type = kUnchanged , |
||
Double_t const * | axis = nullptr |
||
) |
Set all helix parameters.
Definition at line 83 of file THelix.cxx.
|
inlineoverridevirtual |
Reimplemented from TPolyLine3D.
|
virtual |
Set a new range for the helix. This will remake the polyline.
Definition at line 358 of file THelix.cxx.
|
virtual |
Set range.
Definition at line 551 of file THelix.cxx.
|
protected |
Set the rotational matrix according to the helix axis.
Definition at line 569 of file THelix.cxx.
|
overridevirtual |
Stream an object of class THelix.
Reimplemented from TObject.
Definition at line 621 of file THelix.cxx.
|
inline |
|
protected |