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 *, size_t) |
| Operator delete for sized deallocation. | |
| 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 *, size_t) |
| Operator delete [] for sized deallocation. | |
| 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) |
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.
Helix copy constructor.
Definition at line 236 of file THelix.cxx.
|
override |
Helix destructor.
Definition at line 227 of file THelix.cxx.
|
overridevirtual |
|
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.
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 |